{ "cells": [ { "cell_type": "markdown", "id": "40f63bce-c68d-46b2-9fc7-14486eed65c8", "metadata": {}, "source": [ "# Calculate the optical properties of different aerosol populations\n", "\n", "In this notebook, we show an example of how to calculate the optical properties of different aerosol populations. The calculations performed in this notebook are analogous to those in the *Makephase* programme of NEMESIS, which have been imported into archNEMESIS.\n", "\n", "The type of calculations or optical properties we can calculate with this programme are based on the input *ISCAT* parameter, which can take the following values:\n", "\n", "- **ISCAT = 1**: Mie theory following a standard gamma particle size distribution.\n", "- **ISCAT = 2**: Mie theory following a log-normal particle size distribution.\n", "- **ISCAT = 3**: Mie theory following an MCS modified gamma particle size distribution.\n", "- **ISCAT = 4**: Mie theory for a single particle size.\n", "- **ISCAT = 5**: Isotropic scattering.\n", "- **ISCAT = 6**: Henyey-Greenstein scattering.\n", "- **ISCAT = 7**: Dipole scattering.\n", "\n", "Apart from the type of calculations to be performed, we need to decide the type of format in which the phase function is given back by *Makephase*, which is defined by the flag Scatter.*IMIE*. \n", "\n", "- If **IMIE = 0**, then the calculated phase function is fitted with a double Henyey-Greenstein function, which will be stored in the parameters Scatter.*G1*, Scatter.*G2* and Scatter.*F*.\n", "- If **IMIE = 1**, then the phase function is stored explicitly in the class, and the phase function at other angles will be calculated by interpolation. In this case, the information of the phase function will be stored in the parameters Scatter.*THETA* and Scatter.*PHASE*.\n", "- If **IMIE = 2**, then the phase function is fitted using a number of Legendre polynomials. The number of Legendre polynomials is given as an input with Scatter.*NLPOL* and the weights of the different polynomials is stored in the parameter Scatter.*WLPOL*.\n", "\n", "In any case, while this is an \"internal way\" of storing the information within the Scatter class, the phase function at any angle and wavelength can be calculated using the function Scatter.*calc_phase*. While the phase function can be stored in these different ways in the Scatter class, note that all of the aerosol populations defined in the class need to share the same format (i.e., the same *IMIE*).\n", "\n", "One important thing to note is that *Makephase* calculates the explicit representation of the phase function. After performing this calculation, it will perform a fitting of the phase function using either a double Henyey-Greenstein function or a combination of Legendre polynomials in case our Scatter class requires *IMIE* = 0 or 2. However, it is recommended to check the accuracy of the fitting and the representation of our explicit phase function using these approximations, as there may be cases that our phase function cannot be accurately represented by a double H-G function. \n", "\n", "In the following sections, we show some examples of how we can use the *Makephase* function for some different cases." ] }, { "cell_type": "code", "execution_count": 1, "id": "c461abb2-e4dc-4b9a-8785-4ba415e0a1c1", "metadata": {}, "outputs": [], "source": [ "import archnemesis as ans\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "585f222e-93cc-48d3-a4c1-6d12324ec4ad", "metadata": {}, "source": [ "## 1. Definition of the refractive index\n", "\n", "For most of the calculations made by *Makephase* (at least those using Mie Theory), we need to define the complex refractive index of the material the aerosols are made of. We can define the refractive index manually by modifying the parameters: Scatter.*WAVER*, Scatter.*REFIND_REAL*, Scatter.*REFIND_IM*. These parameters define the complex refractive index at different wavelengths. Note that these arrays must always be defined in wavelength units (i.e., $\\mu$m) and cannot be defined in wavenumbers for now.\n", "\n", "Alternatively, we can automatically load the refractive indices of several pre-defined materials typically found in planetary atmospheres. These refractive indices are stored in a python dictionary called aerosol_info under the Data/aerosol_data/ directory." ] }, { "cell_type": "code", "execution_count": 2, "id": "54d63807-a8db-49ef-987e-4d418fb2b568", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 Mars dust (Wolff et al. 2006)\n", "2 Water ice (Warren et al. 2008)\n", "3 CO2 ice (Warren et al. 1986)\n", "4 Sulfuric acid 75% (Palmer and Williams, 1975)\n" ] } ], "source": [ "#Printing the name of the materials that are listed in the dictionary\n", "ans.aerosol_data.print_id_names()" ] }, { "cell_type": "code", "execution_count": 3, "id": "90b58e01-fd52-4ea0-9d76-aa512905f674", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Refractive index')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Reading the refractive index from the dictionary (Mars dust)\n", "Scatter.read_refind(1)\n", "\n", "#Making plot of the refractive index\n", "fig,ax1 = plt.subplots(1,1,figsize=(7,3))\n", "ax1.plot(Scatter.WAVER,Scatter.REFIND_REAL,label='Real part')\n", "ax1.plot(Scatter.WAVER,Scatter.REFIND_IM,label='Imaginary part')\n", "ax1.legend()\n", "ax1.grid()\n", "ax1.set_facecolor('lightgray')\n", "ax1.set_title(\"Mars' mineral dust\")\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_ylabel('Refractive index')" ] }, { "cell_type": "markdown", "id": "69ff185b-74d2-423b-b146-3ceedddd0d19", "metadata": {}, "source": [ "## 2. Calculating the optical properties for a standard gamma distribution\n", "\n", "In this example we are going to calculate the optical properties (i.e., extinction coefficient, single scattering albedo and the phase function) for CO$_2$ ice following a standard gamma distribution. In archNEMESIS, this type of distribution is implemented as\n", "\n", "\\begin{equation}\n", "n(r) = r^\\alpha \\cdot \\mathrm{e}^{-r/(a\\cdot b)},\n", "\\end{equation}\n", "\n", "where $a$, $b$ and $\\alpha$ are the input parameters to the function.\n", "\n", "In the article by [Hansen and Travis (1974)](https://www.doi.org/10.1007/BF00168069), they present a form of the standard gamma distribution where $\\alpha$ = $(1-3b)/b$. In that case, we have that the parameters $a$ and $b$ are directly related to the effective radius and variance of the distribution. In particular, in this case $a$ = $r_{\\mathrm{eff}}$ and $b$ = $\\nu_{\\mathrm{eff}}$. In our example, we are going to model the particle size distribution with $r_{\\mathrm{eff}}$ = 1.0 $\\mu$m and $\\nu_{\\mathrm{eff}}$ = 0.1." ] }, { "cell_type": "markdown", "id": "878a59a3-87d8-46bc-ba38-12c4a7afddab", "metadata": {}, "source": [ "### Visualising the particle size distribution" ] }, { "cell_type": "code", "execution_count": 4, "id": "28d2a473-d13f-4f34-b565-762c86eabb66", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Calculating standard gamma distribution\n", "reff = 1.0 ; veff = 0.1\n", "a = reff ; b = veff ; alpha = (1.0-3*b)/b\n", "\n", "r = np.arange(1.0e-1,1.0e1+1.0e-3,1.0e-3)\n", "nr = r**alpha * np.exp(-r/(a*b))\n", "\n", "#Making summary plot\n", "fig,(ax1,ax2) = plt.subplots(1,2,figsize=(6,3),sharey=True)\n", "ax1.plot(r,nr)\n", "ax2.plot(r,nr)\n", "ax2.set_xscale('log')\n", "ax1.set_xlabel('r ($\\mu$m)')\n", "ax2.set_xlabel('r ($\\mu$m)')\n", "ax1.set_ylabel('n(r)')\n", "ax1.set_facecolor('lightgray')\n", "ax2.set_facecolor('lightgray')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "128be25d-12e6-47a9-b52a-59dc45ff7547", "metadata": {}, "source": [ "### Running Makephase" ] }, { "cell_type": "code", "execution_count": 5, "id": "3236a0bc-f25b-471a-ab11-05bce68f7605", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000063103285268\n", "Maximum integral of phase function is 1.0026559667729391\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000394389412832\n", "Maximum integral of phase function is 1.0016589199140793\n" ] }, { "data": { "image/png": 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", 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ctuXm5qJPnz7o168fpk2b1mwM+/btQ3p6OvR6vatt7969iI6ORteuXV1t7777LmJjY7F161bMnDkTc+bMwaRJk3DhhRdi27ZtGDt2LO666y7U1NR4/J5bQt2qR++kukVpUVBpxe9lFgxKDgl0OERERIEnBGBpYVEjAFjMAKyA1FznBmgMgOTdjrt378brr7+OK664wqNC9q677sINN9zQZJ/k5GSPzq0oCh588EGMGjUK/fr1a7b/xo0bUVZWhttvv92tffjw4Xj11VfRrVs3nDlzBsuWLUNmZiZ+/vlnhIeHN3is/fv3Y+DAgW5t2dnZyMjIcGvLyMjAggULAAAPPvggnnvuOcTFxWH69OkAgIULF2L16tU4cOAARowY4dH7bgkWsq2gS6QaOA6cqODKBURERAAASw1CXujZ4t0NPpy69oFcQBvqcX9FUXD//fdj5syZGD58OKZPnw6LxQKNRtPoPjExMYiJifEhyrPmzp2LgwcPejyf9Z///CfGjRuHlJQUt/bx48dDCAGz2QytVosRI0YgPT0dH374YaOrMWRnZ+OWW25xa9u3bx8GDBjg1ta/f3/Xc5VKhZiYGLeiOzExEQBQXFzs0XtoKU4taAUp4fYLvaDSGuBIiIiIyFsrV67EmTNnsHjxYvTr1w8WiwU5OTlN7uOvqQUPPPAAvvjiC2zatAldunRptv+xY8fwzTffeLRMWFRUFM4//3wcPXq0we02mw0HDx6sNyK7d+/eeoXsuUW9JElubc4pDorSup8X4ohsK0hxzJEtrOSILBEREQBAY7CPjLaAEIDZYoZWo/V2hoDr3J46ceIEHn/8caxduxahoaE4//zzodPpcPDgQbdRyHP5OrVACIF58+bh008/xZdffolu3bp5FO9bb72F+Ph4XHnllc32raqqQl5eHpKSkhrc/ttvv8FoNLrFuWPHDhQUFNQrZNsLFrKtICXC/hvJqWobzDYBraolP3VEREQdiCR59ed9N0IAUANarddzXb01f/58jBs3zlUYqtVq9O7dG7/88kuT+/k6tWDu3LlYv3491q9fj7CwMBQVFQGwLwMWEmL/vM3KlSuxceNGfP755wDso51vv/02br/9dqjV9Uu6hQsX4sorr0RycjJOnz6NJ598EiqVCjfddFODMWRnZ7vO85e//AW5ubmYP38+APsHytojFrKtIFInI0QjodYiUFRpQVfHTRKIiIio/fr888+xZcsW7N692629f//+rb4E1+rVqwHY57XW9eqrr+KOO+4AAJw5c8ZtWsA333yD48ePY/LkyQ0e88SJE5g6dSpKSkoQFxeH0aNHIysrC/Hx8Q32z87ORmZmJvLy8jB8+HCkp6dj0aJFmDNnDlauXIk1a9b44636FQvZViBJElLCNcgtMaOw0spCloiIKAhcddVVKCgoqNf++uuvt/q5PVmmatGiRVi0aJHrdWZmZpP7vfXWW24f9jp3aa5z7d+/H0OGDMFjjz3m1n7uh78aWh/2119/rdfW2ktvAfywV6txzpM9wQ98ERERURDIzs5uch5we8RCtpU4C9kCfuCLiIiI2rmioiIUFxd7tG5te8KpBa3EuQRXIUdkiYiIqJ1LSkpqk6kA/sYR2VaSEsERWSIiIqLWxEK2lSQ7RmRPO5bgIiIiIiL/YiHbSiJ1MgwaCQJAEUdliYiIiPyOhWwrcS7BBfBWtUREREStgYVsK0rmygVERERErYaFbCviiCwRERFR62Eh24rOrlzAQpaIiIjI31jItiLnTREKKzi1gIiIiMjfWMi2IufUglM1NpisSoCjISIiIupYWMi2ogidjFCNBAAoquL0AiIiIiJ/atEtasvKyvDTTz+huLgYiuI+0jh58mS/BNYRSJKE5HANjpSYUVBpRVqUNtAhERERkQcWL16Ml156Cddeey3Wrl0b6HCoEV6PyG7cuBFdu3bFFVdcgfvuuw9z5sxxPebOnet1ACdOnMDtt9+O2NhYhISEICMjAz///LPXx2mvXPNkuQQXERFR0Jg/fz6WLVuG9evXIzc3t9XPt3TpUhgMBrfHoEGDmt1v1apVSE9PR3R0NC655BLs3Lmz1WNtT7wuZP/6179i+vTpqKqqQllZGUpLS12PkpISr45VWlqKMWPGQKPR4IsvvsDBgwfx3HPPITo62tuw2q2UCMcSXBWcWkBERBQsIiMjMXXqVMiyjAMHDrTJOfv27YujR4+6Hps3b26y/wcffIAFCxbg4YcfxrZt25CRkYGJEyeiuLi4TeJtD7wuZE+cOIHZs2fDYDD4fPJnnnkGqampePPNNzFixAh0794d48aNQ8+ePX0+dnvhuikC58gSEREFFavVCoPBgIMHD7bJ+VQqFZKSklyPuLi4Jvu/+OKLmDZtGiZPnow+ffrgpZdeQkhICN56661G99m2bRsiIiJgNBpdbfn5+TAYDDh27BgAYPz48Zg3bx4efPBBpKSkoFu3bnjjjTdQXV2Nu+++GwkJCejfvz++/PJL/7xxH3hdyI4fP95vf/r/9NNPMWzYMNx0001ISEjA4MGDsXr1ar8cu71IDrMXsic5tYCIiCioLFmyBFVVVR4Vss8++yzi4+ObfBw/frzJY+Tm5qJHjx7o27cvpk2b1mR/s9mMPXv24I9//KOrTZZlXHbZZdixY0ej++3btw/p6enQ6/Wutr179yI6Ohpdu3Z1tb377ruIjY3F1q1bMXPmTMyZMweTJk3ChRdeiG3btmHs2LG46667UFNT02xuWpPXH/a6+uqr8eCDD+LgwYPIyMiARqNx237NNdd4fKyjR49i5cqVmDdvHh5++GHs3LkTs2fPhlarxZQpU+r1N5lMMJlMrtcVFRUAAEVR6n3orLU4z+Pp+RJCVQAcS3BZbNCopFaLLRh4mz86i7nzDfPnG+bPN50tf0II19e6z402Y1O7NclsNcMm21q0r16lhyR59//fPXv24PXXX8cVV1yBgwcPut5HY+68805cf/31TfZJSkpq9DjDhg3Dq6++il69eqGoqAjLli1DZmYmdu7cifDw8Hr9T58+DZvNhoSEBLdjxsfHIycnp8HzCCGwf/9+DBgwwG17dnY2MjIy3NoyMjLw0EMPAbDPF37uuecQGxuLadOmAQAWLFiA1atXY//+/RgxYkST77shda+Lc38uvPk58bqQnTFjBgDg8ccfr7dNkiTYbJ5fZIqiYNiwYXjqqacAAIMHD8aBAwewatWqBgvZZcuWYcmSJfXanUPibSk/P9+jfkIAWlkFsyJhd87vSAhp5cCChKf5o/qYO98wf75h/nzTWfKnVquRlJQEi8XiKiBrrbUY959xAYnnv1f/FyFqz/8HrCgK7rvvPsyYMQNDhw7FPffcg+rq6nqDd3WFhYUhLCys2eOazeYGt9UdWe3duzcGDRqEjIwMrF+/HnfccUe9/s7jWCwWt2PabDYIIeqdx/l63759uPHGG92279mzB/369XO1KYqCPn36uPWJjo5Genq6q835eaaCgoJG31NTLBYLrFYrioqKYLW6T7/0ZpTX60LWn79NJicno2/fvm5tffr0wYcffthg/4ULF2LevHmu1xUVFUhNTUVaWlqzF4+/KIqC/Px8pKWlQZY9m5mRfKgI+eUWqKOS0D2lc1eyLckf2TF3vmH+fMP8+aaz5c852qbRaKDV2peebOloqj9otVpo1Z4vgfnKK6+gpKQEjz76KI4fPw6LxYK8vDz079+/0X2WL1+O5cuXN3ncXbt2ITU11aMY4uPj0atXL+Tn57tyWFdycjJUKhVKS0vdtp85cwZJSUlubWazGVqtFjabDYcOHcKQIUPctmdnZ+O6665ztcmyDJ1O59ZHlmXo9fp6sahUqgbja44QAmq1Gl26dKk3Wl5VVeXxcVq0jqy/jBkzBjk5OW5tv/32G9LS0hrsr9PpoNPp6rXLstzm/zB4c86kcDXyyy0orlY6xT9gngjE96yjYO58w/z5hvnzTWfJn6IoEEJAkiRXkRKiDsGW67e06HjOEUatVuv1FAHAu6kFJ06cwBNPPIG1a9ciLCwMvXr1gk6nw6FDh5CRkdHofnfddRduuOGGJo+dkpLicRxVVVXIy8vDbbfd1uA+Op0OgwcPRlZWlmtap6IoyMrKwsyZM1371J0ucPjwYRiNRrc4duzYgYKCAgwcONDtPHW/d021Odu95dxHkqR6PxPe/Iy0qJDdsmUL/va3v+HQoUMA7MtFPPjgg7j44ou9Os4DDzyA0aNH46mnnsLNN9+Mn376Ca+99hpee+21loTVbiU5PvBVWMUPfBERUeckSZJXf96vSwgBlaKCVt2yQtYb8+fPx7hx43DllVcCsE+T6N27N3755Zcm94uJiUFMTEyLz7tw4UJcddVV6Nq1KwoLC7F06VKoVCrcdNNNrj4rV67Exo0b8fnnnwMAZs+ejRkzZmDIkCEYNmwYXn75ZdTU1DQ4FQGwj7w6j/OXv/wFubm5mD9/PgC0aHpAe+D1r4XvvPMOMjMzYTAYMHv2bMyePRshISEYO3Ys3nvvPa+ONXz4cHz88cd4//330b9/fzzxxBNYsWIFJk2a5G1Y7VpyuH1OTVEll+AiIiJqrz7//HNs2bKl3hSB/v37t/oSXCdOnMCUKVMwcOBA3H777YiJiUFWVhbi4+Ndfc6cOYOjR4+6Xt9444146qmn8MQTT+DCCy9EdnY2NmzYgMTExAbPkZ2djczMTOTl5WH48OF47LHHsGjRIkRERGDlypWt+v5aiySa+xjeOfr06YO7774bDzzwgFv7888/j9WrV7tGadtCRUUFIiMjsX379jadI5uXl4fu3bt7PPS9q6AWj35TjG5RGrz8p5RWjrB9a0n+yI658w3z5xvmzzedLX/OqQVpaWkNTgn0lq9TCzqzurmbOHEihgwZgsceeyzQYcFkMiE/P7/BqQVVVVUYNWoUysvLERER0eRxvP5pOnr0KCZMmFCv/ZprrkFeXp63h+sUnFMLiqqszS7fQURERNQasrOzm/zAWjDyupBNTU3F119/Xa998+bNHn8Sr7NJCFVDlgCjVaDM2DnWECQiIqL2o6ioCMXFxejXr1+gQ/Errz/s9de//hWzZ8/G3r17MXr0aADADz/8gLVr1+Lvf/+73wPsCDQqCXEGFYqrbSistCA6RBXokIiIiKgTSUpKCvhduFqD14Xsvffei6SkJDz33HNYv349APu82XXr1mHixIl+D7CjSApTo7jahqIqK/omBDoaIiIiouDXouW3rrvuOlx33XX+jqVDSwrXIPukCYVcuYCIiIjILzr+RyfbieQ6H/giIiIiIt95NCIbExOD3377DXFxcYiOjm5y6YuSkhK/BdeRJIezkCUiIiLyJ48K2RdeeAHh4eGu51zDzXuuu3tV8u5eRETUOXDJSWqMv64NjwrZKVOmuJ5PnTrVLyfubJIcd/cqMyqotSgI0XBWBxERdUySJEFRFBiNRuj1+kCHQ+2Q0WiEEMLnG4R4/WEvlUqFwsJCJCS4f/T+zJkzSEhIgM1m8ymgjipMKyNcK6PSrKCoyoru0dpAh0RERNQqnH+5PXXqFABAr9f79NdcIQQsFguEEPyrsJfaW+6EEDAaja5rw9eYvC5kGxsKNplM0GpZnDUlKUyNyhIzC1kiIurwVCoVbDYbTp486ZcCymq1Qq1u0WJLnV57y52zllSpfF9X3+N39eKLLwKwV86vv/46wsLCXNtsNhu2bt2K9PR0nwPqyJLC1ThcYuYSXERE1OFJkgS1Wg0hhM/zIYUQKCoqQpcuXdrFqGIwaY+5k2XZb7F4XMi+8MILAOwJWbVqlVsVrdVq0a1bN6xatcovQXVUZ1cu4Ae+iIioc5AkyeeiRVEUWK1WSJLk85zKzqaj587jQjYvLw8A8Mc//hEfffQRoqOjWy2ojiopzP6BryKOyBIRERH5zOsJE99++21rxNEpuJbg4lqyRERERD7zeoz5hhtuwDPPPFOv/dlnn8VNN93kl6A6KufUguIqK2wK19YjIiIi8oXXhezWrVtx1VVX1Wu/8sorsXXrVr8E1VHFGlRQy4BNAKdqOCpLRERE5AuvC9mqqqoGl9nSaDSoqKjwS1AdlSxJrukFnCdLRERE5BuvC9mMjAysW7euXvu//vUv9O3b1y9BdWSuD3xxniwRERGRT7z+sNfixYtx/fXXIzc3F5dddhkA4Ouvv8b777+Pf//7334PsKNxzpPlWrJEREREvvG6kJ0wYQI2bNiAp556Ch988AFCQkIwYMAAbN68GZdeemlrxNihJIVz5QIiIiIif2jR/cquvvpqXH311f6OpVNwzpE9yRFZIiIiIp+0+Ma7ZrMZxcXFUBTFrb1r164+B9WRJbvWkrVACNFubhdHREREFGy8LmQPHz6M6dOnY9u2bW7tzqLMZrP5LbiOKNFRyNZYBCpMCiL1qmb2ICIiIqKGeF3ITp06FWq1Gp999hmSk5M5ouglnVpGTIgKJbU2FFVZWcgSERERtZDXhezevXuxa9cupKent0Y8nUJyuNpeyFZa0TtOF+hwiIiIiIKS1+vI9u3bF6dPn26NWDqNuvNkiYiIiKhlvC5kn3nmGfzf//0fsrKycObMGVRUVLg9qHnOJbh4dy8iIiKilvN6akFmZiYAYOzYsW7t/LCX53h3LyIiIiLfeV3Ifvvtt60RR6eSzJsiEBEREfnM60KWd+/ynfOmCGdqbDBZFejUXs/wICIiIur0vC5kt27d2uT2Sy65pMXBdBYROhkhGgm1FoHiahtSI1nIEhEREXnL60L2D3/4Q722umvJco5s8yRJQnKYGkdLLSistCA1UhPokIiIiIiCjtdDgaWlpW6P4uJibNq0CcOHD8d///vf1oixQ0oKtxevnCdLRERE1DJej8hGRkbWa7v88suh1Woxb9487Nq1yy+BdXTOtWS5BBcRERFRy/htcmZiYiJycnL8dbgOz/mBLy7BRURERNQyXo/IZmdnu70WQqCwsBBPP/00Bg0a5K+4OjzXElyVvLsXERERUUt4XcgOGjQIkiRBCOHWfuGFF+KNN97wW2AdnfPuXierrFCEgFznA3NERERE1Dyvpxbk5eXh6NGjyMvLQ15eHvLz81FTU4Nt27YhPT29xYE8/fTTkCQJc+fObfExgkm8QQ21DFgU4HQ1V3ogIiIi8pZHhWxMTAxOnz4NAFiyZAliYmKQlpaGtLQ0pKamQq/X+xTEzp078eqrr2LAgAE+HSeYqGTJNU/2BKcXEBEREXnNo0LWbDajoqICAPDPf/4TRqPRbwFUVVVh0qRJWL16NaKjo/123GDQJcK+BNf/KljIEhEREXnLozmyo0aNwrXXXouhQ4dCCIHZs2cjJCSkwb7ezpOdNWsWrr76amRmZmLp0qVe7RvsUiI0AGpxooIrFxARERF5y6NC9p133sELL7yA3NxcSJKE8vJyv4zK/utf/8Lu3buxc+dOj/qbTCaYTCbXa+cosaIoUBTF53g84TyPP86XEq4CAJwot7RZ/IHmz/x1Nsydb5g/3zB/vmH+fMP8tVww5s6bWD0qZBMTE/H0008DALp37463334bsbGxLYvO4fjx45gzZw6++uorj+fYLlu2DEuWLKnXnp+fD4PB4FM83srPz/f5GHIVAKiRX1qLvLw8n48XTPyRv86KufMN8+cb5s83zJ9vmL+WC6bc1dTUeNxXEueuo9VGNmzYgOuuuw4qlcrVZrPZIEkSZFmGyWRy2wY0PCKbmpqKH374AWFhYW0St6IoyM/PR1paGmTZt/tJlBttuOOjAkgA1t98HnRqv92fot3yZ/46G+bON8yfb5g/3zB/vmH+Wi4Yc1dVVYUxY8agvLwcERERTfb1eh1Zfxk7diz279/v1jZt2jSkp6fjoYceqlfEAoBOp4NOp6vXLstym39z/HHOqBAJoVoZ1WYFRdUKukcH7NvR5gLxPesomDvfMH++Yf58w/z5hvlruWDKnTdxBqxyCg8PR//+/d3aQkNDERsbW6+9o5IkCV0i1Mg5bcaJCgu6R2sDHRIRERFR0AiO0rwDO8+xBBdXLiAiIiLyTrv6W3ZWVlagQ2hzXEuWiIiIqGVaNCKbm5uLRYsW4dZbb0VxcTEA4IsvvsAvv/zi1+A6g/MiHHf3YiFLRERE5BWvC9ktW7YgIyMDO3bswEcffYSqqioAwL59+/Doo4/6PcCO7rxwx9SCSisCtIAEERERUVDyupBdsGABli5diq+++gpa7dkPJ1122WX48ccf/RpcZ5AcroYEoNqsoNwUPIsVExEREQWa14Xs/v37cd1119VrT0hIwOnTp/0SVGeiU8tICLUvNcZ5skRERESe87qQjYqKQmFhYb32PXv24LzzzvNLUJ2Na+WCchayRERERJ7yupD985//jIceeghFRUWQJAmKouCHH37A/PnzMXny5NaIscNzFbKVXIKLiIiIyFNeF7JPPfUU0tPTkZqaiqqqKvTt2xeXXHIJRo8ejUWLFrVGjB3e2bVkOSJLRERE5Cmv15HVarVYvXo1HnnkEezfvx9VVVUYPHgwevXq1RrxdQpduAQXERERkddafEOE1NRUpKamwmazYf/+/SgtLUV0dLQ/Y+s0nCOyhZVWWBUBtSwFOCIiIiKi9s/rqQVz587FmjVrAAA2mw2XXnophgwZgtTU1E55Zy5/iDWooFNJsAngZBXnyRIRERF5wutC9oMPPsDAgQMBABs3bsTRo0fx66+/4oEHHsD/+3//z+8BdgayJLluVXucKxcQERERecTrQvb06dNISkoCAHz++ee4+eabccEFF2D69OnYv3+/3wPsLLpG2QvZ38vMAY6EiIiIKDh4XcgmJibi4MGDsNls2LRpEy6//HIAQE1NDVQqld8D7Cy6RzsK2VKOyBIRERF5wusPe02bNg0333wzkpOTIUkSMjMzAQA7duxAenq63wPsLNKi7Lf75YgsERERkWe8LmQfe+wx9O/fH8ePH8dNN90EnU4HAFCpVFiwYIHfA+wsujmmFhRUWmG2CWhVXLmAiIiIqCktWn7rxhtvrNc2ZcoUn4PpzGJCVIjQyagwKThWZsb5sbpAh0RERETUrrWokK2ursaWLVtw7NgxmM3ufwqfPXu2XwLrbCRJQlqUBvtPmpBfZmEhS0RERNQMrwvZPXv24KqrrkJNTQ2qq6sRExOD06dPw2AwICEhgYWsD7pFabH/pAl5nCdLRERE1CyvVy144IEHMGHCBJSWliIkJAQ//vgj8vPzMXToUPztb39rjRg7Dec82fwyrlxARERE1ByvC9m9e/fir3/9K2RZhkqlgslkQmpqKp599lk8/PDDrRFjp9Et2r5yQV4pR2SJiIiImuN1IavRaCDL9t0SEhJw7NgxAEBkZCSOHz/u3+g6ma6R9hHZMqOCcqMtwNEQERERtW9ez5EdPHgwdu7ciV69euHSSy/FI488gtOnT+Ptt99G//79WyPGTiNEIyM5TI3CKit+LzNjYFJIoEMiIiIiare8HpF96qmnkJycDAB48sknER0djXvvvRenTp3Ca6+95vcAO5s03uGLiIiIyCNej8gOGzbM9TwhIQGbNm3ya0CdXbcoLX48Xss7fBERERE1w+sRWWpdzpULOCJLRERE1DSvC9mTJ0/ijjvuQEpKCtRqNVQqlduDfNMtyr5ywbFyC2yKCHA0RERERO2X11MLpk6dimPHjmHx4sVITk6GJEmtEVenlRyuhlYlwWQTKKqy4rwITaBDIiIiImqXvC5kv//+e3z33XcYNGhQK4RDKllC10gNjpSY8XuZmYUsERERUSO8nlqQmpoKIfgn79bU3bFyQW4JP/BFRERE1BivC9kVK1ZgwYIF+P3331shHAKA3nE6AEDOaRayRERERI3xaGpBdHS021zY6upq9OzZEwaDARqN+5++S0pK/BthJ+QsZH87Y4JNEVDJnIdMREREdC6PCtkVK1a0chhUV9dIDfRqCbUWgeMVFtdKBkRERER0lkeF7JQpU1o7DqpDJUvoFavF/pMm5JwysZAlIiIiaoDHc2QVRcEzzzyDMWPGYPjw4ViwYAFqa2tbM7ZOjfNkiYiIiJrmcSH75JNP4uGHH0ZYWBjOO+88/P3vf8esWbNaM7ZOLd1RyP562hTgSIiIiIjaJ48L2bfeegv/+Mc/8OWXX2LDhg3YuHEj3n33XSiK0prxdVrOEdnj5RZUm5ljIiIionN5XMgeO3YMV111let1ZmYmJElCQUFBqwTW2UWHqJAYqoIAcPgMR2WJiIiIzuVxIWu1WqHX693aNBoNLBaL34MiO86TJSIiImqcx7eoFUJg6tSp0Ol0rjaj0YiZM2ciNDTU1fbRRx95fPJly5bho48+wq+//oqQkBCMHj0azzzzDHr37u3xMTqy3vE6bM2v4TxZIiIiogZ4XMg2tATX7bff7tPJt2zZglmzZmH48OGwWq14+OGHMW7cOBw8eNCtOO6s0l0jsiYIIdxuSkFERETU2XlcyL755pt+P/mmTZvcXq9duxYJCQnYtWsXLrnkEr+fL9j0iNZCLQMVJgVFVVYkh2ua34mIiIiok/B4jmxbKC8vBwDExMQEOJL2QaOS0DPGfjMETi8gIiIicufxiGxrUxQFc+fOxZgxY9C/f/8G+5hMJphMZwu6iooK175ttQyY8zxtdb4LYrXIOW3GoWITLk0ztMk5W1Nb568jYe58w/z5hvnzDfPnG+av5YIxd97E2m4K2VmzZuHAgQP4/vvvG+2zbNkyLFmypF57fn4+DIa2LfLy8/Pb5DzxQgKgws/HK5EXV9Ym52wLbZW/joi58w3z5xvmzzfMn2+Yv5YLptzV1NR43FcSQohWjMUj9913Hz755BNs3boV3bt3b7RfQyOyqamp+OGHHxAWFtYWoUJRFOTn5yMtLQ2y3PozM6rNCiZ9eAKKAF67JhlJYe3md48Waev8dSTMnW+YP98wf75h/nzD/LVcMOauqqoKY8aMQXl5OSIiIprsG9CqSAiB+++/Hx9//DGysrKaLGIBQKfTuS3/5STLcpt/c9rqnOF6GelxOhw8ZcLeIhOuukDb6udsC4H4nnUUzJ1vmD/fMH++Yf58w/y1XDDlzps4A/qOZs2ahXfeeQfvvfcewsPDUVRUhKKiItTW1gYyrHZnaEoIAGB3AfNCRERE5BTQQnblypUoLy/HH/7wByQnJ7se69atC2RY7c7QFPsd1fadNMJiC/hMECIiIqJ2IeBTC6h5PWK0iNTJKDcp+PW0CRmJ+uZ3IiIiIurggmOyRCcnSxKGOKYX7OL0AiIiIiIALGSDxpBk+ygs58kSERER2bGQDRKDHSOyR0stKK21BTgaIiIiosBjIRskovQqnO+4Xe3uQo7KEhEREbGQDSLO1Qt2nWAhS0RERMRCNog415PdWVALozV47plMRERE1BpYyAaR9HgdEkNVqLUI/Hico7JERETUubGQDSKyJOGyHmEAgK+PVgU4GiIiIqLAYiEbZMb2CAUA7C004nS1NcDREBEREQUOC9kgkxSuQf8EHQSAb/OqAx0OERERUcCwkA1CdacX8Da/RERE1FmxkA1CF3U1QKeS8L8KK347Yw50OEREREQBwUI2CBm0MkZ3NQDgh76IiIio82IhG6ScH/ra8nsNaixcU5aIiIg6HxayQSojUY/zwtWoNiv4LKcy0OEQERERtTkWskFKJUu4dUAUAOCjgxWoNnNUloiIiDoXFrJB7OI0A1IjNagyK/jk14pAh0NERETUpljIBjGVLOG2AZEAgA2HKlBpsgU4IiIiIqK2w0I2yI3pakC3KA1qLAIbDnFUloiIiDoPFrJBTpYk3OaYK/vpr5UoqeFta4mIiKhzYCHbAYxKDUGvGC1qrQIrtp+Bwrt9ERERUSfAQrYDkCQJc0fHQquSsLvQyOW4iIiIqFNgIdtBpEVpMW1IFADgzd2l+L2Mt64lIiKijk0d6ACCibqmGEn7XkJMTQ1Cz0QCshpCkiEkFSCpICQZkNQQsgpCUkGodFDUIVDUeiiqc76qQ6Co9FA0obBpwgDZ92/Fny4Ix64TRvxcUIu/fX8az1+ZDK1K8sM7JyIiImp/WMh6QWWpQtSJbxAFAKX+PbZNHQqbNhw2bQRsGsdX52ttBKy6KFh1MbDqHQ9ddL3iV5IkzBkVi/s+K8DvZRY8890pLLg4HhoWs0RERNQBsZD1glUfgxMD56LkdDFio6MgQ4EkFEDYIClWSMIGCAWSsEFSLJBtJsjWWkhWI2SbEbLVCNlWe85XIwBAZa2GyloN1BR5Ho82ElZ9NKy6WEeBG4vYkHi83CcaLx5Q4/f/xeCZrTY8dEkSi1kiIiLqcFjIesGmi8KZnjcgT86D6N4dsuyHKcaKFSpLJVTmSqjMFfavlgr31+YKqE2lUJtKoDaWQG0qgyRsUJvLoTaXA/jd7ZDJAC5WA1AD1tMyyj6JgT4qGTZDPCwhibAY4mEJSbA/QpNg1cUAEgtdIiIiCi4sZANNVsOmi4ZNF+35PkKBylwOtbHUUdiegdpYCk3taahri6FxPNQ1p6CWFMQpp4GS00BJw4dTZC3MocmwhCbDHJoCs8H5PBmW0BTYNOEsdImIiKjdYSEbjCTZVfyaIns03k/Y8Gt+AT7YcRjRttPoqirB+KRq9NCWQlt7yl7s1p6CrJihr8yHvjK/wcPY1KGuotYcmlyn0LW/FuqQVnqjRERERI1jIduRSSqkd0vF3XHJeH7baXxRbMKrx4GhKXrcPjAKvWJ1kBQLNDUnoakuhLa6ENrqAmhq7M811YXQmEqgslYjpPwIQsqPNHgaqy7aUdTaH2eL3PNgMcQDkqqN3zgRERF1BixkO4GEMDWezEzEhwcr8O6+MuwqMGJXQREu7BKCm/tHolfseTCHdUF1A/tKViO0NYV1Ct1CaGoKXM9VlkrH/N1SGEp+qbe/kFQwG5Icxe15MBmSYapWISTKBGvYebBpIzhtgYiIiFqEhWwnoZIl3Nw/EhelGfCv/eXIyqvGj/+rxY//q0XXSA3G9gjFH7qHItbgfkkItR6miO4wRXRv8LiyudJR1J6wj+Y6RnXtI7tFkBULdNUnoKs+AeBnAPYPozk/n2ZTh8Ic5pyXe5596kJoCsxhKbAYkiBUulbLCREREQU3FrKdTEq4BvNGx+GmfpFYf6AcPxyrwbFyC97cU4Y395ShZ7QWQ1L0GJISggtitdCpm16ZQdGGw6gNhzH6gvobhQ2a2tOO4tZR6FYVQCnJQ4StBBrjGfu0hbLDCCk73ODxLSHxMBuS7cVu6Hl1pi2kwKqPBSTenI6IiKizYiHrhVJLKTYUbEBFTQWi/hcFSZIgQXJ9BQAZMiABUt3/6myv+1qCBFmSIUsy1JIaMmSoJBVkyf5VJalcba7Xzm04+7xufxXO9tNIGqhlNdSS/SHXKfpSIzX465g43DNcwff51fj6aDUOnTIht9SM3FIz/v1LBVQS0CNai/R4HbpHa9A1UouuURoYNB4Wj5IKFkMiLIZE1MQPAgAoioK8vDx0794dKsVcZ9rCCWirCqCtKXQVvCpbLTS1p6CpPYXQM9n1Dq/IWtfxLSEJsBgSHM8dbYYEKGqDb990IiIiardYyHqhylqF/57+r/3FqcDG0hIqqFyFbd0iVyNpoOmqxsBUNWotMqpNEiqNMsw2FY4LFY5XqCDK1YBQAUINg1qLKJ0OsXo9YvR6ROt1iAvRIzYkBHqVFlpJC42sgVbWQitroZHOPpfF2SK4yWkLQkBlLjtb3FadgKa64OwH0mqLIStm6KqOQ1d1vNH3bNOEw+wqdBPPKXYTYNXHQai0rZFuIiIiamUsZL0Qrg7HtYnXorSsFFFRURCSAAQg6v4nzj4HAEUoAOC2DQAUKICwf7UJG2zCBkUosMHx1dFWt931/Jw2t37CBgUKrMIKm7C5xW+DDTbFBhNMTb9RFYBQQNPIZiuA044HjI5Hmed5VEMNbba94NXKdYreOgWwRta4b4/QQht5AbRyf0dfFUIstTCYq2GwVCHUVAmDqQyhxlKE1ZYgtOYUDNZq6K2V0JdXNrriAuC8Q1osLCFxsOpj6zyPg0UfB2uIvY3zdYmIiNoXFrJeiNJE4aaUm5BnykP3FD/d2asVOQtbi7DAKqywKtZGn1uF43Uzz6stZpSYjCgzmVBhMqHWZobRZoJJsQCS/SFJVkC2AJIVkmQBZCskSXHFZYUVVpsVNajx/5vWOx7RMQBiAAASAC1U0EGGTgjohQK9zQa9YoFeUaATAiGiAjqlHLqqI9BXCuiEAr0Q0DkeIYqARtZBrQ2HWh0GjSYCak04VNooqLXRUOlioNbHQdbFQdbHQdFFcP4uERFRK2Mh24E5599qGh1b9R9FCJTV2nCy2oqiKitOVdtQWmtDieNxptaMMqMJFmEGHIWuJDmKXbnu17qFsAWSbIVKtkCrsUGjskKjtkBWWSFLFscxrBCSBYpkhgILFFhgEWZYhdk1+i0AmGCDCTZ7VSsBkO3lrfcEgEr7w35g+6PybA/JWQBDgg6So4hWQSeroZU00MhaaGUdNCo9tKoQaNQGqNWh0KjDoVEZoFVpXSPUzikZWlkLDTQothUjxBQCvUrvNnVD4hJmRETUCbWLQvaVV17B8uXLUVRUhIEDB+Kll17CiBEjAh0WeUGWJMQY1IgxqNEnvuE+QghUmmzYfzgfhthklBkVlJsUVJhsqDApqHQ8rzQpqDDan1scA7m1XkckANgARyFs0Nqg11qh11ihVdugVlugVlmhVlkhqyxQqayQZXsxLTmKZEgWCNiLZAgjhFIDRamFVdgLcrNigRk2mIQNZgjYHLWkkCQYJQlGVyw2x8PsCgs2ABav35TdwfpNWkl9tvBV6ezF8jmFsOvRQLtzHrNaUkMtO+ZQe/pcUrOQJiKigAh4Ibtu3TrMmzcPq1atwsiRI7FixQqMHz8eOTk5SEhICHR45EeSJCFMKyPJAHRP0jc7NUMIAaNVOIpcG8odxW6NRUG1WUG1RUGtRUG1WaDacra91qKg2iJQY5GgKGrYFD0qrUCln2cyyBKgU0nQqCRoVRL0KgVatRV6uRZRchki5TKESeUIlSugk6qhQTXUqIEKtZBghIARAiYoMMMmLDBLAkZJgsnxqJVl13Nnu1E+u91ap3g0CyvMwgooNfZJzG3MWdDWLXI1kgYqWeXxc5WkglpSu63SUfdRd1tj/c5td76WIUMWMmqVWhhtRmihhUpSsQAnIgpyAS9kn3/+ecyYMQPTpk0DAKxatQr/+c9/8MYbb2DBggUBjo4CSZIkhGgkhGhkJIZ5f6k6C+Eai4Iai3AVvyargNGqwGi1bzc18vxsH+c+9ufOUWJFALVWgVqrqHNWFYAwx6OLN9HCABMiUY1oqRLhqEWYVIMY1CJcqkUYahHm+Op8HYIaaORaaGUjNLIRKskESbbUKXxlGOU6RXADxXBtncLZ7HhYXF9x9jkkmB2vLecU0QDsc62Fo4K2NfD22pM6K7nJkKF2LmMH+1Qc11fHc+dydvZ2Vb1tUiN9nYWy83hu56h7nnrnsD/qLtF37lJ+57bJkM9ucywBKENudHvdJQAbOqbruXNfSBBCoNBaCNQAsny2LwC3JQaBs8sPOpvc+jqOW6+v8/U5yxU21H7uOeodo4lzONvd4mkkVn9ShOJ6QDTfv7W0xntrCdFAEoQQUOyfoYYQgE0ICGH/t9amKKg0KyiptQCSBJti72sTAjbF8VXYl3i0Cft0N1e7Asc2UX+bgONYouFjKo7+zjgcMVptAlYhYLUBNqHAotj7WhUBi+2cPsLeblWc/e3vXcLZG1var1lAJQM6FaBRSdDI9kESrUqCWiVBr5KhU0vQqe2DKDq17PgqQauWoFdJdV7LUMuATQEsNhtOVBhRUlQKBfa2Wovi+v9Xrdn+3GhVUGOxwWgRqLUJmK1n82MTwN1DEjA0JbzNrhFPBbSQNZvN2LVrFxYuXOhqk2UZmZmZ2L59ewAjo46gbiEc68fj2hThKobNioDFBphtAmab4vgKWGzC8Vy4nlsUR5tVwKy4b7M/D4HZFgmLTaBIsf+jalHs53P+42ixKVAgwao0HJsKNoShFgaYYJCM0MMMA0wIkUwIgQkhMMPgem5CtGRvC3H0MTjadZIFOlighQVaWKGTzNDhbJtGstiLWsBV/NqL3rPFr9mx/Wxh7GwHLKi7j73NKkmwQoLV8dwC+1eb46t9u2ObBFdfW519rHBsq9PXCgk2CbA1MPqqQIFZKIAIwDB2sMoJdABBbm+gAwhyvwb4/K7PWfh+KIH6v9NYgebWFbJTAJi9PGFhM9vVjkdIw5tPnL4aQ1Nu9/KkrS+ghezp06dhs9mQmJjo1p6YmIhff61/tZpMJphMZ7/FFRUVAOy/gSlKI/9n9zPnedrqfB1NR8ifBECvBvTN3PXM3xRFQX5+PtLS0iBJEmyu3/Lr/LZf57lNASx1njfUt1YIVNcZcbC5PbePKtQdhXCNWCgKoFihUiyQFTNUihmyYoFKmKESVqhsJsjCCrUwQyUskBQbZGGFStggwQpZsUGGFWph/2oQNsjCBjWsUMEGlbBBhbOv1cLx1dkmFKhghQwFKiiQHQ8VFEgQrjYVFKhggwwFEhQISUBICoSkQIHzuYACAUj2/60IRz9IsBfAsBfBCs557vhqBaA4Cu6z22D/hcNtm73N/tVeiCuOQlxxnsfxXIG9r3A9B4Rjm/N/forj2K7nsM/Pdj4H4DhWnT6Sc19Hm3T22B73cb0+2ybq/I4g4P4/aGc/OPqJc/qhgb51+517TMHpIEQBkaw1tnmt5YmATy3wxrJly7BkyZJ67fn5+TAY2vYOTvn5+W16vo6G+Ws5T3MnA9A5Hg3y28iC1NyZfFbn43LNEqJO0SPqf1Wa6OO2TbGv+yxBgSQUQCiQheJaJVpyrBENUaekczy3V2H27ZJj/WhZCMgQUNfpJ8H+p1NJKJAc8UjOyJx9xNkyzn4sQHKsQ123b/3zO/s6jivqruPhTFbdfs735bbRRXLtLer1kVxfnSlxbz/3GOcEUH9/52vRdH+c854ElHp94chx3fcj7AdvoKhu6A/eDfO0X0N9pXO+ntt+7oumSveG9jm3rbH9JdTPeYPHqNtfct/P9frsReHaLjkuvkb3k6QGjwXYJ2m5xVJ3/3rvqaFX7m31v1/nvMNzpq401L+p74No4HiNnKnRY9Y7Rr29Gz9HY8f3ensTeShTLkBeXl4zx/SPmhrPP9QS0EI2Li4OKpUKJ0+edGs/efIkkpKS6vVfuHAh5s2b53pdUVGB1NRUpKWlISwsrNXjBdxHxdr7OrLtEfPXcsydb5g/3zB/vmH+fMP8tZy/chfqx5iaU1VV5XHfgBayWq0WQ4cOxddff41rr70WgD3hX3/9Ne677756/XU6HXS6+qM+siy3+YUdiHN2JMxfyzF3vmH+fMP8+Yb58w3z13LBlDtv4gz41IJ58+ZhypQpGDZsGEaMGIEVK1agurratYoBEREREVFDAl7I3nLLLTh16hQeeeQRFBUVYdCgQdi0aVO9D4AREREREdUV8EIWAO67774GpxIQERERETUmOCZLEBERERGdg4UsEREREQUlFrJEREREFJTaxRzZlnIuul1dXd1m51QUBTU1NaiqqgqaZSzaE+av5Zg73zB/vmH+fMP8+Yb5a7lgzJ2zrhP1bopSX1AXspWVlQCAzMzMAEdCRERERP5UWVmJyMjIJvtIwpNyt51SFAUFBQUIDw+H1Eb333beTez48eOIiIhok3N2JMxfyzF3vmH+fMP8+Yb58w3z13LBmDshBCorK5GSktLsKHJQj8jKsowuXboE5NwRERFBc0G0R8xfyzF3vmH+fMP8+Yb58w3z13LBlrvmRmKdgmOyBBERERHROVjIEhEREVFQYiHrJZ1Oh0cffRQ6nS7QoQQl5q/lmDvfMH++Yf58w/z5hvlruY6eu6D+sBcRERERdV4ckSUiIiKioMRCloiIiIiCEgtZIiIiIgpKLGS98Morr6Bbt27Q6/UYOXIkfvrpp0CH1C4tW7YMw4cPR3h4OBISEnDttdciJyfHrc8f/vAHSJLk9pg5c2aAIm5fHnvssXq5SU9Pd203Go2YNWsWYmNjERYWhhtuuAEnT54MYMTtS7du3erlT5IkzJo1CwCvvbq2bt2KCRMmICUlBZIkYcOGDW7bhRB45JFHkJycjJCQEGRmZuLw4cNufUpKSjBp0iREREQgKioKd955J6qqqtrwXQROU/mzWCx46KGHkJGRgdDQUKSkpGDy5MkoKChwO0ZD1+vTTz/dxu8kMJq7/qZOnVovN1dccYVbH15/jeevoX8HJUnC8uXLXX06wvXHQtZD69atw7x58/Doo49i9+7dGDhwIMaPH4/i4uJAh9bubNmyBbNmzcKPP/6Ir776ChaLBePGjXPdO9lpxowZKCwsdD2effbZAEXc/vTr188tN99//71r2wMPPICNGzfi3//+N7Zs2YKCggJcf/31AYy2fdm5c6db7r766isAwE033eTqw2vPrrq6GgMHDsQrr7zS4PZnn30WL774IlatWoUdO3YgNDQU48ePh9FodPWZNGkSfvnlF3z11Vf47LPPsHXrVtx9991t9RYCqqn81dTUYPfu3Vi8eDF2796Njz76CDk5Objmmmvq9X388cfdrsf777+/LcIPuOauPwC44oor3HLz/vvvu23n9dd4/urmrbCwEG+88QYkScINN9zg1i/orz9BHhkxYoSYNWuW67XNZhMpKSli2bJlAYwqOBQXFwsAYsuWLa62Sy+9VMyZMydwQbVjjz76qBg4cGCD28rKyoRGoxH//ve/XW2HDh0SAMT27dvbKMLgMmfOHNGzZ0+hKIoQgtdeYwCIjz/+2PVaURSRlJQkli9f7morKysTOp1OvP/++0IIIQ4ePCgAiJ07d7r6fPHFF0KSJHHixIk2i709ODd/Dfnpp58EAJGfn+9qS0tLEy+88ELrBhcEGsrflClTxMSJExvdh9ffWZ5cfxMnThSXXXaZW1tHuP44IusBs9mMXbt2ITMz09UmyzIyMzOxffv2AEYWHMrLywEAMTExbu3vvvsu4uLi0L9/fyxcuBA1NTWBCK9dOnz4MFJSUtCjRw9MmjQJx44dAwDs2rULFovF7VpMT09H165deS02wGw245133sH06dMhSZKrndde8/Ly8lBUVOR2rUVGRmLkyJGua2379u2IiorCsGHDXH0yMzMhyzJ27NjR5jG3d+Xl5ZAkCVFRUW7tTz/9NGJjYzF48GAsX74cVqs1MAG2Q1lZWUhISEDv3r1x77334syZM65tvP48d/LkSfznP//BnXfeWW9bsF9/6kAHEAxOnz4Nm82GxMREt/bExET8+uuvAYoqOCiKgrlz52LMmDHo37+/q/22225DWloaUlJSkJ2djYceegg5OTn46KOPAhht+zBy5EisXbsWvXv3RmFhIZYsWYKLL74YBw4cQFFREbRabb3/ESYmJqKoqCgwAbdjGzZsQFlZGaZOnepq47XnGef11NC/e85tRUVFSEhIcNuuVqsRExPD6/EcRqMRDz30EG699Va3+93Pnj0bQ4YMQUxMDLZt24aFCxeisLAQzz//fACjbR+uuOIKXH/99ejevTtyc3Px8MMP48orr8T27duhUql4/Xnhn//8J8LDw+tNQ+sI1x8LWWpVs2bNwoEDB9zmeAJwm8OUkZGB5ORkjB07Frm5uejZs2dbh9muXHnlla7nAwYMwMiRI5GWlob169cjJCQkgJEFnzVr1uDKK69ESkqKq43XHrU1i8WCm2++GUIIrFy50m3bvHnzXM8HDBgArVaLe+65B8uWLeuwd2Ly1J///GfX84yMDAwYMAA9e/ZEVlYWxo4dG8DIgs8bb7yBSZMmQa/Xu7V3hOuPUws8EBcXB5VKVe+T4SdPnkRSUlKAomr/7rvvPnz22Wf49ttv0aVLlyb7jhw5EgBw5MiRtggtqERFReGCCy7AkSNHkJSUBLPZjLKyMrc+vBbry8/Px+bNm3HXXXc12Y/XXsOc11NT/+4lJSXV+8Cr1WpFSUkJr0cHZxGbn5+Pr776ym00tiEjR46E1WrF77//3jYBBpEePXogLi7O9bPK688z3333HXJycpr9txAIzuuPhawHtFothg4diq+//trVpigKvv76a4waNSqAkbVPQgjcd999+Pjjj/HNN9+ge/fuze6zd+9eAEBycnIrRxd8qqqqkJubi+TkZAwdOhQajcbtWszJycGxY8d4LZ7jzTffREJCAq6++uom+/Haa1j37t2RlJTkdq1VVFRgx44drmtt1KhRKCsrw65du1x9vvnmGyiK4voFoTNzFrGHDx/G5s2bERsb2+w+e/fuhSzL9f5kTsD//vc/nDlzxvWzyuvPM2vWrMHQoUMxcODAZvsG5fUX6E+bBYt//etfQqfTibVr14qDBw+Ku+++W0RFRYmioqJAh9bu3HvvvSIyMlJkZWWJwsJC16OmpkYIIcSRI0fE448/Ln7++WeRl5cnPvnkE9GjRw9xySWXBDjy9uGvf/2ryMrKEnl5eeKHH34QmZmZIi4uThQXFwshhJg5c6bo2rWr+Oabb8TPP/8sRo0aJUaNGhXgqNsXm80munbtKh566CG3dl577iorK8WePXvEnj17BADx/PPPiz179rg+Vf/000+LqKgo8cknn4js7GwxceJE0b17d1FbW+s6xhVXXCEGDx4sduzYIb7//nvRq1cvceuttwbqLbWppvJnNpvFNddcI7p06SL27t3r9m+hyWQSQgixbds28cILL4i9e/eK3Nxc8c4774j4+HgxefLkAL+zttFU/iorK8X8+fPF9u3bRV5enti8ebMYMmSI6NWrlzAaja5j8Ppr/OdXCCHKy8uFwWAQK1eurLd/R7n+WMh64aWXXhJdu3YVWq1WjBgxQvz444+BDqldAtDg48033xRCCHHs2DFxySWXiJiYGKHT6cT5558vHnzwQVFeXh7YwNuJW265RSQnJwutVivOO+88ccstt4gjR464ttfW1oq//OUvIjo6WhgMBnHdddeJwsLCAEbc/nz55ZcCgMjJyXFr57Xn7ttvv23wZ3XKlClCCPsSXIsXLxaJiYlCp9OJsWPH1svpmTNnxK233irCwsJERESEmDZtmqisrAzAu2l7TeUvLy+v0X8Lv/32WyGEELt27RIjR44UkZGRQq/Xiz59+oinnnrKrVDryJrKX01NjRg3bpyIj48XGo1GpKWliRkzZtQbPOL11/jPrxBCvPrqqyIkJESUlZXV27+jXH+SEEK06pAvEREREVEr4BxZIiIiIgpKLGSJiIiIKCixkCUiIiKioMRCloiIiIiCEgtZIiIiIgpKLGSJiIiIKCixkCUiIiKioMRCloiIiIiCEgtZIiIfTJ06Fddee63Px8nJyUFSUhIqKysb7bN27VpERUX5fK72YNWqVZgwYUKgwyCiIMdClog6rO3bt0OlUuHqq68OdCjNWrhwIe6//36Eh4cHOpQ2MX36dOzevRvfffddoEMhoiDGQpaIOqw1a9bg/vvvx9atW1FQUBDocBp17NgxfPbZZ5g6dWqgQwEAWCyWVj+HVqvFbbfdhhdffLHVz0VEHRcLWSLqkKqqqrBu3Trce++9uPrqq7F27Vq37VlZWZAkCV9//TWGDRsGg8GA0aNHIycnx63f0qVLkZCQgPDwcNx1111YsGABBg0a1Oh5FUXBsmXL0L17d4SEhGDgwIH44IMPmox1/fr1GDhwIM477zy39rVr16Jr164wGAy47rrrcObMmXr7fvLJJxgyZAj0ej169OiBJUuWwGq1urb/+uuvuOiii6DX69G3b19s3rwZkiRhw4YNAIDff/8dkiRh3bp1uPTSS6HX6/Huu+8CAF5//XX06dMHer0e6enp+Mc//uF27uPHj+Pmm29GVFQUYmJiMHHiRPz+++9uOR4xYgRCQ0MRFRWFMWPGID8/37V9woQJ+PTTT1FbW9tkfoiIGiWIiDqgNWvWiGHDhgkhhNi4caPo2bOnUBTFtf3bb78VAMTIkSNFVlaW+OWXX8TFF18sRo8e7erzzjvvCL1eL9544w2Rk5MjlixZIiIiIsTAgQNdfaZMmSImTpzoer106VKRnp4uNm3aJHJzc8Wbb74pdDqdyMrKajTWa665RsycOdOt7ccffxSyLItnnnlG5OTkiL///e8iKipKREZGuvps3bpVREREiLVr14rc3Fzx3//+V3Tr1k089thjQgghrFar6N27t7j88svF3r17xXfffSdGjBghAIiPP/5YCCFEXl6eACC6desmPvzwQ3H06FFRUFAg3nnnHZGcnOxq+/DDD0VMTIxYu3atEEIIs9ks+vTpI6ZPny6ys7PFwYMHxW233SZ69+4tTCaTsFgsIjIyUsyfP18cOXJEHDx4UKxdu1bk5+e74q+urhayLItvv/3Wo+8pEdG5WMgSUYc0evRosWLFCiGEEBaLRcTFxbkVTM5CdvPmza62//znPwKAqK2tFUIIMXLkSDFr1iy3444ZM6bRQtZoNAqDwSC2bdvmts+dd94pbr311kZjHThwoHj88cfd2m699VZx1VVXubXdcsstboXs2LFjxVNPPeXW5+233xbJyclCCCG++OILoVarRWFhoWv7V1991WAh68yVU8+ePcV7773n1vbEE0+IUaNGuc7Tu3dvt18OTCaTCAkJEV9++aU4c+aMANBkAS+EENHR0a7imIjIW5xaQEQdTk5ODn766SfceuutAAC1Wo1bbrkFa9asqdd3wIABrufJyckAgOLiYtdxRowY4db/3Nd1HTlyBDU1Nbj88ssRFhbmerz11lvIzc1tdL/a2lro9Xq3tkOHDmHkyJFubaNGjXJ7vW/fPjz++ONu55oxYwYKCwtRU1ODnJwcpKamIikpqdn4hw0b5npeXV2N3Nxc3HnnnW7HXrp0qet97Nu3D0eOHEF4eLhre0xMDIxGI3JzcxETE4OpU6di/PjxmDBhAv7+97+jsLCw3nlDQkJQU1PTaG6IiJqiDnQARET+tmbNGlitVqSkpLjahBDQ6XR4+eWXERkZ6WrXaDSu55IkAbDPc22JqqoqAMB//vOfevNddTpdo/vFxcWhtLS0RedbsmQJrr/++nrbzi2MmxMaGup2XABYvXp1vWJapVK5+gwdOtQ1n7au+Ph4AMCbb76J2bNnY9OmTVi3bh0WLVqEr776ChdeeKGrb0lJias/EZG3WMgSUYditVrx1ltv4bnnnsO4cePctl177bV4//33MXPmTI+O1bt3b+zcuROTJ092te3cubPR/n379oVOp8OxY8dw6aWXehzz4MGDcfDgQbe2Pn36YMeOHW5tP/74o9vrIUOGICcnB+eff36j8R8/fhwnT55EYmJis/E7JSYmIiUlBUePHsWkSZMa7DNkyBCsW7cOCQkJiIiIaPK9DR48GAsXLsSoUaPw3nvvuQrZ3NxcGI1GDB48uNmYiIgawkKWiDqUzz77DKWlpbjzzjvdRl4B4IYbbsCaNWs8LmTvv/9+zJgxA8OGDcPo0aOxbt06ZGdno0ePHg32Dw8Px/z58/HAAw9AURRcdNFFKC8vxw8//ICIiAhMmTKlwf3Gjx+Pu+66CzabzTXiOXv2bIwZMwZ/+9vfMHHiRHz55ZfYtGmT236PPPII/vSnP6Fr16648cYbIcsy9u3bhwMHDmDp0qW4/PLL0bNnT0yZMgXPPvssKisrsWjRIgBnR58bs2TJEsyePRuRkZG44oorYDKZ8PPPP6O0tBTz5s3DpEmTsHz5ckycOBGPP/44unTpgvz8fHz00Uf4v//7P1gsFrz22mu45pprkJKSgpycHBw+fNjtl4LvvvsOPXr0QM+ePT36fhAR1RPoSbpERP70pz/9qd6HpJx27NghAIh9+/a5PuxVWlrq2r5nzx4BQOTl5bnaHn/8cREXFyfCwsLE9OnTxezZs8WFF17o2n7uqgWKoogVK1aI3r17C41GI+Lj48X48ePFli1bGo3ZYrGIlJQUsWnTJrf2NWvWiC5duoiQkBAxYcIE8be//c3tw15CCLFp0yYxevRoERISIiIiIsSIESPEa6+95tp+6NAhMWbMGKHVakV6errYuHGjAOA6l/PDXnv27KkX17vvvisGDRoktFqtiI6OFpdccon46KOPXNsLCwvF5MmTRVxcnNDpdKJHjx5ixowZory8XBQVFYlrr71WJCcnC61WK9LS0sQjjzwibDaba/9x48aJZcuWNZoXIqLmSEIIEdBKmogoiFx++eVISkrC22+/7dfjvvLKK/j000/x5Zdf+vW45/rhhx9w0UUX4ciRIwEdCf3ll19w2WWX4bfffqs3ck5E5ClOLSAiakRNTQ1WrVqF8ePHQ6VS4f3338fmzZvx1Vdf+f1c99xzD8rKylBZWenX29R+/PHHCAsLQ69evXDkyBHMmTMHY8aMCfif8wsLC/HWW2+xiCUin3BEloioEbW1tZgwYQL27NkDo9GI3r17Y9GiRQ2uEtBevfXWW1i6dCmOHTuGuLg4ZGZm4rnnnkNsbGygQyMi8hkLWSIiIiIKSrwhAhEREREFJRayRERERBSUWMgSERERUVBiIUtEREREQYmFLBEREREFJRayRERERBSUWMgSERERUVBiIUtEREREQYmFLBEREREFpf8POE/PvUFUWGUAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 1 #Phase function defined explicitly\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NWAVE = 121 #Number of spectral points\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "wavel = np.linspace(0.5,5.,NWAVE)\n", "theta = np.linspace(0.,180.,NTHETA)\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Reading the refractive index from the dictionary (CO2 ice)\n", "Scatter.read_refind(3)\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 1 #Standard gamma distribution\n", "a = 1.0 ; b = 0.1 ; alpha = (1-3.*b)/b\n", "pars = np.array([a,b,alpha]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Making a summary plot\n", "#################################################################################################\n", "\n", "#Plotting the extinction coefficient and single scattering albedo\n", "fig,(ax1,ax2) = plt.subplots(1,2,figsize=(8,3))\n", "\n", "ax1.plot(Scatter.WAVE,Scatter.KEXT[:,idust])\n", "ax1.grid()\n", "ax1.set_ylabel('Extinction coefficient (cm$^2$)')\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_facecolor('lightgray')\n", "\n", "ax2.plot(Scatter.WAVE,Scatter.SGLALB[:,idust])\n", "ax2.grid()\n", "ax2.set_ylabel('Single scattering albedo')\n", "ax2.set_xlabel('Wavelength ($\\mu$m)')\n", "ax2.set_facecolor('lightgray')\n", "plt.tight_layout()\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(Scatter.THETA,Scatter.PHASE[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(Scatter.THETA,Scatter.PHASE[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(Scatter.THETA,Scatter.PHASE[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "Scatter.check_phase_norm()\n", "\n", "#Calculating the phase function with IMIE = 1\n", "######################################################################################\n", "phase_explicit = Scatter.calc_phase(Scatter.THETA,Scatter.WAVE)\n" ] }, { "cell_type": "markdown", "id": "a8d805bc-ab2a-4649-ba15-0ccee846cfe1", "metadata": {}, "source": [ "### Checking the accuracy of the choice of IMIE\n", "\n", "As mentioned in the introduction, what *Makephase* calculates is the phase function at a given set of specified angles. When we select *IMIE* = 0 or 2 in the Scatter class, the program will fit the calculated phase function with a double Henyey-Greenstein function or a combination of Legendre polynomials. However, it is recommended to check the validity of these approximations since we may find cases in which our phase function cannot be accurately reproduced by a double Henyey-Greenstein function for example. \n", "\n", "In this section, we are going to check how the phase functions computed with the three choice of *IMIE* compare." ] }, { "cell_type": "code", "execution_count": 6, "id": "2bccdcd9-7463-4093-9734-134827437abb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000063103285268\n", "Maximum integral of phase function is 1.0026559667729391\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000063103285268\n", "Maximum integral of phase function is 1.0026559667729391\n" ] }, { "data": { "image/png": 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q54hEQdC6dWtWr15tt/sbjUZ+/PHHbD8PDw/HaDTyxx9/5GNUD69Zs2asW7fO3mEIGwkONOCoUYiMN/FnhG2G6AghRFHXMMDIaw08AFgeGs1f1yWfClGU2bXoNplMjBs3jjJlymAwGChXrhyTJk2yWTcbf39/LkRbr13aVYrue/r370+XLl0y/G40GnnjjTcyHTtkyBCMRiP9+/d/4Pn/3Tp16mTT77F27Vpq166Nu7s7DRo0YOPGjQ88Z8OGDVy/fp0XXnghfV/lypXTY/bw8KBy5cr06NGDnTt32jB629q9ezdGo5Ho6OhMn1WuXJlPPvnkgdeIjY3lvffeo169enh4eBAQEMDjjz/OrFmziIqKSj/u7bffZty4celraouiReegolkZRwB2no+3czRCCFF4ta/gRKuyjpgtMHvvTRJS5N9NIYoquxbd06dPZ8GCBXzyySecPHmS6dOnM2PGDObNm2eT+1mL7n9auq9cuWKT+xQFAQEBrFmzhsTExPR9SUlJfPvttwQGBj7w/NatWxMWFpZhW758uc3i3b9/P71796Z3796EhITw5JNP0rVrV44fP37f8xYsWEDPnj1RqTL+VRg3bhxhYWH88ccfLFmyBFdXVzp27Mj06dNt9h0Kstu3b9O8eXNWrFjBW2+9xa5du9i3bx8TJ07kjz/+yNBToG3btty5c4dNmzbZMWJhS40DrUvd/H41UbqYCyHEQ1IUhf4NPPB1ciAy3sQXR6MefJIQolCya9G9b98+nn76aTp27Ejp0qV5/vnnadOmDQcPHrTJ/UqWLPmvolvh2rVrNp28wmKxkJBissv2qN+rdu3aBAQEsH79+vR969evJzAwkFq1aj3wfJ1Oh5+fX4bN3d39kWK6n/nz59O6dWuGDh1K5cqVmTBhArVr12bhwoXZnnPjxg127txJhw4dMn3m7OyMn58fgYGBPP7448yfP5/Ro0czadIkzpw5k37cnj17aNq0KW5ubpQpU4Zx48aRlvbPrM5ZtSI3atSIyZMnZ9gXERHB008/jYeHB1WrVuWHH3647/c9fvw4Tz/9NN7e3pQuXZpXXnmFmzdv3vecRzFhwgQuXbrE7t276dWrFzVq1CAoKIhWrVqxfPlyXnvttfRj1Wo1bdu2Zc2aNTaLR9hXNR89egeF6CQzYbdT7B2OEEIUWkaNirce8wRg499xnL6ZbOeIhBC2YNcFpRs3bsyiRYs4c+YMFStW5I8//uC3335j1qxZWR6fnJxMcvI/ySg2NncTT/j7+xN+t+j2dlThYE7m1q1beHl5PfyXuI/EVDP1pu2yybUf5PCYZhi16ke6Rq9evVixYgXdunUD4Msvv6Rnz57s3r07L0LMYNWqVVl2Z/+3devW0aRJkyw/O3DgAG+++WaGfa1atbrveuz79u3DaDRSuXLlHMU4aNAgPvjgAzZs2MCwYcO4cuUKnTt3pkePHixZsoTTp08zePBgdDodY8eOzdE175k0aRLvv/8+M2fOZOXKlfTq1YtDhw5lGVt0dDQdOnSgd+/ezJgxg8TERMaNG0fPnj359ddfc3XfnDCbzXz//fd069YNf3//LI/57zJe9evX56OPPsrzWETBoFEr1PLTc+ByIoevJlHeU2fvkIQQotCq6aenRRlHdpyPZ8HB28xq74dKlscUokixa9E9evRoYmNjqVy5Mmq1GpPJxJQpU+jevXuWx0+bNo333nvvoe/n7e1NvMmBqEQL7gaFUne7mNuq6C7sunXrxvjx47l48SIAISEhLF++PEdF96+//oq3t3eGfSNHjmTUqFFZHt+xY0caNGhw32tmV/ABREZG4uPjk2Gfj48PkZGR2Z5z6dIlfHx8MnUtz46Hhwfe3t6Eh4cDsGjRIgICApg9ezaKolCpUiWuXbvGuHHjeOedd3J8XYDOnTvTt29fwNqqvH37dhYsWMDcuXMzHbtw4UJq1arF+++/n75vwYIFVKxYkb///psKFSpke5+sPktISLhvbDdu3CA6OpqKFStm2N+4cWP+/vtvADp06JBh+ECJEiW4fPkyZrM5V38OovCo52+4W3Qn0rWGq73DEUKIQu3luu7sv5TA2dsp7LuYwOOlHO0dkhAiD9m16P7222/5+uuvWblyJdWqVSM0NJQhQ4bg7+9P7969Mx0/ZswYhg0blv57bGxsjsYX36NSqe6O676Fu0GdPoN5TrpLPwyDRsXhMc1scu2c3PtReXt7065dO1asWIHFYqFdu3Y5fkHRrFmzTAXj/bqXOzs74+zs/Ejx5lZiYiJ6vT7X591r1T19+jQNGzbM0MobHBxMXFwcV65cydX/Nxs1apTp9z///DPLY48dO8auXbsyvdQACAsLu2/RvWXLlkx/zm3btk3/+Y033mDVqlXpv9+4cSPba61evZqUlBTGjh2bYew/gMFgwGw2k5ycjMFgyPYaovCq52/93/X0zWSS0szoHeTlihBCPCx3g5pnqrjwzbEYVoRGExxoRK2S1m4higq7Ft0jR45k9OjR6d2Xa9SoQXh4ONOmTcuy6NbpdOh0j9aN0Vp036BOCTWl3RSbTqamKMojd/G2t169eqW/6Jg9e3aOzzMajZQrVy7Hxz9q93JfX1+uX7+eYd/169fx9fXN9nqenp4ZZt1+kFu3bnHjxg1Kly6d43NUKlWm8fX/HvP9MOLi4ujQoUOmceEAfn5+9z23dOnSuLm5Zdjn4PBPGhg3bhxDhgzJ8Lm3tzdubm4ZxrID6S8VnJ2dM82KHhUVhaOjoxTcRZiPoxovo5qbCSbO3Eyhpl/uX2AJIURemD9/Ph9++CERERHUqlWLefPm0bBhwweet2rVKl588UWefvrpArHUZecqLvx85g5X7qSx9VwcbSvkb2OEEMJ27No0kZCQkKnrqVqttulSQyVLluRCjKzVnVNt2rQhJSWF1NRUWrdubbP7dOzYkf379993q1u3brbnN2rUiB07dmTYt3379vv+o1urVi0iIyNzXHjPnz8flUrFU089BUClSpU4ePBghqI6JCQEZ2dnSpYsCYCXlxcRERHpn8fGxnLhwoVM1/7v5IEHDx6kUqVKWcZRu3ZtTp48SalSpShXrlyGzdHx0bqj+fj4ZLgeWF8cPPvss6xatSrHf1+OHz9usx4kRdHu3bt56qmn8Pf3R1GUBz787dy5E0VRMm3//v+arSmKQlVv60vQ47K+rBDCTlavXs2wYcOYMGECR44coVatWrRt2zbTi/j/unDhAiNGjKBp06b5FOmDGbUqula3DtdZeSyG5DRZQkyIosKuRfdTTz3FlClT+Pnnn7lw4QI//PADs2bNonPnzja7Z4kSJQi/u1Z3KVcV165ds9m9igK1Ws3Ro0c5cuQIanXOW+2Tk5OJiIjIsN1vdm1nZ+dMBeR/t/u1mg4aNIgtW7Ywd+5cTp8+zeTJkzly5AgDBgzI9pzatWvj5eVFSEhIps/u3LlDREQEly9f5rfffmPQoEFMnz6diRMnphej/fv35/LlywwbNozTp0/z008/MWXKFN544430l0nNmzdn5cqV7N27l7/++ot+/fpl+ef4ww8/sHz5cv7++28mTZrE77//nm3sr732GlFRUfTu3Zvff/+dsLAwtmzZQv/+/TGZTNl+30fx3nvv4e/vz//+9z+WL1/OsWPHCAsLY/369Rw4cCDTd9q3bx8tW7a0SSxFUXx8PLVq1WL+/Pm5Ou/06dNcu3YtffvvvAa2VtXH2rp98obMtiuEsI9Zs2bRr18/+vbtS9WqVVm4cCFGo5GlS5dme47JZKJ79+689957lC1b9r7XT05OJjY2NsNmS+0rOuPtqOZWgomNZ+Nsei8hRP6xa/fyefPmMW7cOF5//XWuX7+Ov78/r732GuPHj7fZPb29vTkRZ31z6OOocPv2bZvdq6hwcXHJ9TlbtmzJ9A9ZxYoVCQ0NzaOoMnrsscdYtmwZ7733HhMmTKB8+fKsXr2aatWqZXuOWq2mZ8+erF69OtOyYZMmTWLSpElotVp8fX1p2LAhv/zyC82a/TNGv2TJkvzwww+88847NGrUCHd3d3r37s3o0aPTjxkxYgQXLlzgueeew8XFhfHjx2fZ0v3uu++yZs0ahgwZgp+fH8uXL6dKlSpZxu3v78+2bdsYO3YsnTp1Ijk5maCgIFq3bm2zScs8PT3ZvXs3H330EXPmzOHChQuoVCrKly/Pc889x+DBg9OPvXLlCvv37+fzzz+3SSxFUfv27Wnfvn2uz/Px8ck0XCA/VfWxtnSfvJmMyWyR8YdCiHyVkpLC4cOHGTNmTPo+lUpFq1atsnyhfs/777+Pj48Pr7zyCnv27LnvPR51Et/c0qoVulZ35ZMDt1l3MpaOFZ1xkNwqRKGnWGy5ULWNxcbG4urqSkhICE5OTjk6Z8eOHaybPZRtvRw5ft1E63UubN68OU/iMZvNWCwWSpUq9chjz0X+iIiIoH79+uzbt4+goCB7h1MkjB07lqioqFy32uZUcnIy4eHhKIqS6SVDXFwcwcHBxMTEPNTLooJAURR++OEHnnnmmWyP2blzJy1atKBUqVIkJydTvXp1Jk6cmO2cB5D1kouBgYG5yp//ZTJbePG7SySkWvi4QwnKemgf6jpCCPsqrLnz6tWrlCxZkn379hEcHJy+f9SoUezatYsDBw5kOue3336jW7duhIaG4uXlRZ8+fYiOjs52WI8tcueDpJgsvPzDZaKTzIxo4kXzMjKTuRAFVU7zZ7Gbbtbd3Z0b8db3DN6OSq4m0hJFj5+fH59++imXLl2ydyhFhre3t017qwjrMJmFCxfy/fff8/333xMYGEjz5s05cuRItudMmzYNV1fX9C03s+tnR61SqHh3je4zt6SLuRCiYLtz5w49e/Zk8eLFOV6NRafT4eLikmGzNa1a4clK1knU1p6IyTQhqxCi8LFr93J78PDw4EaCNXl5GhRSkpNISEjAaDTaOTJhL506dbJ3CEXKW2+9Ze8QirxKlSplmGivcePGnDt3jtmzZ7NixYosz3nUJRezU95TS2hEEmdvpUD2q9UJIUSe8/LyQq1WExkZmWF/ZGRklqt5nDt3jgsXLqRPiAqkT97r4ODA6dOnc7Xyii11qOjMd3/FEhaVyh8RSdQuIauBCFGYFcuW7pt3i261SsHDIK3dQojCr2HDhpw9ezbbz23VWlPB09ql/O/bKXlyPSGEyCmtVku9evXYtm1b+j6z2cy2bdsydDe/p3Llyhw7dozQ0ND0rVOnTrRo0YLQ0NA8eRGZV1x0atqUt3Zf//6EbSdvE0LYXrFr6XZycgKVA1GJFtwNCt5Ga9F9b4knIYQojEJDQylRokS+37eCh7V7eXh0CikmC1q1TPgjhMg/w4YNo3fv3tSvX5+GDRsyZ84c4uPj6du3LwC9evWiZMmSTJs2Db1eT/Xq1TOcf28yyv/uLwieruLMz2fucPRaEuHRKZRyk3kzhCisil3RrSjK3S7m8bgb1HjLDOZCCDuLi4vL0Ep9/vx5QkND8fDwICgoiDFjxnDlyhW+/PJLAObMmUOZMmWoVq0aSUlJLFmyhO3bt+fZpJC54e2oxkWnIjbZzIWoFCp6ySSSQoj807VrV27cuMH48eOJiIigdu3abNy4EV9fXwAuXrxos5U9bM3PSUOjAAMhlxL59e84BjTwsHdIQoiHVOyKbrg3mVocFT1Jb+kWQgh7+f3332nRokX67/fGXvfu3Ztly5Zx7do1Ll68mP55SkoKw4cP58qVKxiNRmrWrMnWrVszXCO/KIpCBU8th68mcfa2FN1CiPw3ePDgDEtX/tvOnTvve+6yZcvyPqA81LGiMyGXEtkWFkfv2m4YNIXzBYIQxV3xLboTrA+wMoO5EMLemjdvft/Zaf/7UDhq1ChGjRpl46hyrrzH3aL7lozrFkKIvFTTT4+/swNX76Sx83w87Ss62zskIcRDKJavy6xF991lw4zSvVwIIR5FaXfrOMML0VJ0CyFEXlIpCh3uFto/n7kjy4cJUUgVy6Lbw8PjX2t1q6SlWwghHkHpu5P7hEenYpYHQiGEyFOtyjqiUytciE7l1M1ke4cjhHgIxbLo/m9LtxTdxdsrr7zCjBkz8v2+RqORH3/8EYDw8HCMRiN//PFHjs7t378/Xbp0ue8xJ0+epHz58sTHxz9yrELcj7+zA1q1QrLJQkRcmr3DEUKIIsVJp6ZpaSMAv5yJs3M0QoiHUXyL7ngpuu/5bwHXv39/jEYjb7zxRqZjhwwZgtFopH///g88/79bp06dbPYdTpw4wYsvvkjlypUxGo188sknOTrvzz//ZNOmTbz++uvp+9q2bZtl/Fn9eeSVgIAAwsLCqFatWo6O//DDD1m0aFH6723btmXkyJEZjqlSpQoNGzbk448/ztNYhfgvtUohyFUDwIWoVDtHI4QQRU/7CtYu5nsvJhCfYrZzNEKI3CqWE6l5eHhwIMGasGy1ZJjZbObWrVt5ft3c8PT0fOhlMgICAlizZg0zZszAYDAAkJSUxLfffktgYOADz2/dujWfffZZhn06ne1mNU5ISKBMmTI8++yzuZpgasGCBXTu3Nm6fvu/9O3bl3HjxmXYZzQa8yTWrKjVavz8/HJ8vKura46O69mzJ4MGDWLkyJE4OBTLv+4in5R213D2dgrno1JoHGS7vytCCFEcVfTUEuiq4VJMKnvC42lXQSZUE6IwKZZP4fnR0n3r1i1KlSqV59fNjfDwcLy9vR/q3Nq1a3P+/HnWr19Pt27dAFi/fj2BgYE5+l46nS5XReSjql+/PvXr1wfIVCxnx2QysW7dOpYuXZrpM6PRmG38X3/9NUOGDCEkJITy5csD8NZbb7Fr1y727duH0WikcuXK9O7dm1OnTvHzzz/j6urKyJEjGTBgQJbXDA8Pp0qVKoSEhFCrVi3A2no/duxY9u7di8VioWbNmixatIiyZcvSv39/oqOj+fbbb+nfvz979uxhz549zJ8/H7B2LS9VqhQtW7YkKiqKPXv22GU5KVF8lHHTAvEymZoQQtiAoii0KuvIF0ej2XpOim4hCpvi27387phuL6NCfHw8KSnyoPhfvXr1YsWKFem/f/nll/Ts2dMm91q1ahXe3t733fbu3Zun9zx27BgxMTHUrVs3V+d1796dtm3b0rdvX9LS0vj1119ZtmwZS5cuzdAaPmfOHGrUqEFISAgjRoxg5MiRbNu2LUf3uHLlCm3atEGn0/HLL7+wd+9eevXqRVpa5vGyH374IY0aNaJv376EhYURFhZGQEAAAFqtlpo1a+b5n50Q/1XKTbqXCyGELT1R1gmVAqduJnMpRnKtEIVJsWzpdnV15XaitejWqBUcNRAbG4uXl5edIytYunXrxvjx47l40bqmeUhICMuXL2f37t0PPPfXX3/N1Mo+cuTIbLt+d+zYkQYNGtz3mv7+/jmMPGcuXryIWq3Gx8cn02eLFi3KtDbyvHnz0lv9582bR8OGDRk+fDjr16/n3XffzVS8P/bYY4wYMQKAChUqEBISwrx582jZsuUDY/vss89wcXHhyy+/RKPRpF8jK66urmi12mxb50uUKJH+v6EQtlLm7rJh1+LSSEw1Y9AUy3e6QghhM+4GNfX8DRy6ksi2sDj61HG3d0hCiBwqlkW3i4sLCamQYrKgVSu4GxQpurPg7e1Nu3btWLFiBRaLhXbt2uX4z6hZs2bMnTs3wz539+z/cXB2dsbZOX+7SiUlJaHT6VAUJdNnXbt25e23386w79/Fubu7OwsWLKBTp04Ziut/a9SoUabfczPBW5MmTdIL7kdhMBhITEx85OsIcT+uejXuejVRSSbCo1Op7G27ORyEEKK4al3OiUNXEtkeFk/PWm6oVZmfYYQQBU+xLLo1Gg0Gg4HoJAs+jgruemvRnZc8PT0JDw/P02s+TAyPqlevXgwbNgyA2bNn5/g8o9FIuXLlcnz8qlWrHjg7+Lp162jSpEmOr/kgnp6eJCQkkJKSglarzfCZq6vrA+P/7bffUKvVREREEB8fn6cvDe5NXpcXbt++TdmyZfPsekJkp7S7hqhrJi5Ep0jRLYQQNtCgpAEXnYrbiSaOXEuiQcm8e14QQthOsSy6wdqyGpUYj48juNmg6FapVA89iVlB0qZNG1JSUlAUhdatW9vsPvboXl6zZk3AOunYvcnLcmr//v3MmjWLNWvWMG7cOIYNG8bixYszHHPw4MFMv1eqVClH169evTpff/01qampOWrt1mq1mEymLD87ceIEnTt3ztF9hXgUZdy0HL2WxIVoGWsohBC2oFErNCvtyE+n77D1XJwU3UIUEsW26HZxcSEqKQ4Ad4PCnTt37BxRwaRWqzl69Gj6zzmVnJxMREREhn0ODg7Zdk9/1O7lKSkpnDx5Mv3nq1ev8scff+Dk5JRti7W3tze1a9dm3759mYruhISETPHrdDrc3d25c+cOr7zyCq+//jpt27alZMmSNG3alA4dOmQobu8V5k899RTbtm1j7dq1rF27NkffZ8CAASxcuJBevXoxYsQIXF1dOXjwIPXr16dixYqZjg8KCuLQoUOEh4fj6OiIh4cHKpWK8PBwrl69yhNPPJGj+wrxKEq735tMTSamFEIIW2ldzomfTt/hwOUEYpNNuOhy/nwmhLCPYjvTjYuLC1F3h7naont5UeLi4oKLi0uuztmyZQtly5bNsLVq1cpGEcK1a9cIDg4mODiYiIgI5syZQ3BwMK+//vp9z+vTpw+rV6/OtP+LL77IFH/v3r0BGDFiBI6Ojrz33nuAtVX6vffe44033uDKlSvp13jzzTc5cuQIwcHBTJ8+nenTp+e4t4Cnpye//PIL8fHxtG3bliZNmvDFF19k2+o9ZMgQ1Go1devWJSgoiEuXLgHw7bff0rJlS4KCgnJ0XyEeRWk36zCN89GpWCwWO0cjhBBFU1kPLWXdNaSZYdf5eHuHI4TIAcVSiJ+MYmNjcXV1JSQkBCcnp1yd+8Ybb9Df4wAv1tAwdFMSafX789prrz1SPGazGYvFQqlSpdDpZDxjYZCYmEitWrVYsWJFponPHkXlypUZPHgwgwcPzrNr5lZKSgo1atRg2bJlBAcH2y2OvJacnEx4eDiKoqBSZXxvGBcXR3BwMDExMbl+UVTcPEr+zE6qycJzqy5itsDSziXxcSy2namEKFQkd+acLXLnw/jxVCyLfo+igqeW2e1L2C0OIYq7nObP4t3SnWR932CLMd2icDAYDCxZsoSbN2/aO5Q8d+nSJUaOHFmkCm5RsGnUCgEu1t4YF2VctxBC2Mz/SjuiUuDvWylciZV8K0RBV2ybIVxcXIi6ai263fXImO5i7H//+5+9Q7CJcuXK5WoGeSHyQpCrhosxqYRHp1BfJvgRQgibcNOrqVNCz+GrSew8H0/3Wm72DkkIcR/FtqXb2dmZ6KR7Rbe0dIu8derUKbt2LRfCXkq53W3pjpGWFyGEsKXmZRwB2Hk+XubREKKAK7ZFt3UiNeleLoQQeSnITbqXCyFEfngswIhOrXAtLo0zt2TVCCEKsofqXh4dHc3Bgwe5fv06ZrM5w2e9evXKk8BszcXFhb/vtXTLkmFCiFwqCnnQFoJcrTOYX4xJxWyxoFIUO0ckhChoikv+3L9/P/Hx8bi5uaVv7u7umSYBfVgGjYrHAg3supDAzvPxVPKSSXyFKKhyXXT/9NNPdO/enbi4OFxcXFD+9UClKEqhSZbOzs7pLd3SvVwIkRtFJQ/agr+zAw4qSDZZuB6Xhp9z1svcCSGKp+KUPxcvXkzKxd9RgJsJFm4lWkBjpEaNGtSuXZumTZtSs2bNDH8GudW8jBO7LiSw+0I8r9Rzx0ElLzqFKIhyXXQPHz6cl19+malTp2I0Gm0RU75wcXH5Z0y3QYpuIUTOFZU8aAtqlXUG8wvRqYTHpErRLYTIoDjlz6ioKJZ10NM48J/H7SuxZvZd+pO9oUcZ880i1B6lePrpp3n++edxc3PL9T3qlNDjqlMRk2wm9FqSTGApRAGV6/4tV65c4c033yz0ifK/S4bFxcVhMpnsHJUQojAoKnnQVkrJuG4hRDaKU/6MiYnhZoKFK7FmktOsz5wlXVS8UE3DnHZ6LgxxYtHj14nYOp8O7duxYMEC4uLicnUPB5VC09L/TKgmhCiYcl10t23blt9//90WseSrf0+kZtQoaNXkOtEJIYqnopIHbeXf47qFEOLfilP+DAgI4PU9HlReDPopd3CZFsv/vohn9NYkdpxPQ6UotC7nwKrnjYT0hKvbF9GhQ3s2bNiQq9nIm98tuvdfTiApzfyAo4UQ9pDr7uUdO3Zk5MiRnDhxgho1aqDRZOw62KlTpzwLzpacnZ2JTSZ9op9747pdXV3tHZrIZ61bt+bVV1+la9eu9g7lkVWuXJnBgwcXyOXKdu/eTbt27bh69WqWXehSUlKoWbMmX3/9NfXq1cv/AHOhqORBW5EZzIUQ2SlO+XP58uXpP6empnLr1i2OHz9OaGgofbZvR1l/ib51tLzRUEs1HzU/dDWyOzyFl2e8w+bNmxk3bhze3t4PvE8lLy0lnBy4FpfG/kuJ6UuJCSEKjlwX3f369QPg/fffz/SZoiiFpou2wWBA7eBATBK4G4r3smH9+/cnOjqab7/9Nv33r776ildeeYV58+ZlOHbIkCEsWrSIHj16sGjRovue/1+tWrXixx9/tMl3WLp0KStXruTEiRMA1KlTh4kTJ9KgQYP7nrdhwwauX7/OCy+8kL6vIBeuRZlWq+Wtt95i3Lhx/PLLL/YO576KSh60lSBX60P0pdhUTGYLapnYRwhxV3HNnxqNBj8/P/z8/GjZsiXDhg0jNDSUb775hjkfb2RYsJahj2n5XykH/hzoxDvb9vLcs52Z8eFMHnvssfteW1EUmpVxZNWxGHacj5OiW4gCKNfdy81mc7bbwyTKK1eu0KNHDzw9PTEYDNSoUSNfuh0pipJhXLdMppZRQEAAa9asITExMX1fUlIS3377LYGBgQ88v3Xr1oSFhWXY/v3GN6/t2bOHF154gV9//ZUdO3ZQsmRJOnXqxJUrV+573oIFC+jZs2eeLd9R0KWmFuyWx27durFv3770lycFVV7nwaLGz8kBrVohxWQhIi7N3uEIIQoQyZ9WiqJQp04dZsyYwedfr2G7JZjqn8axNSwNo0ZhTjs9X7ZPYdSbr7F8+fIHdje/18X86LUkopOKz5+jEIWFXSuNqKgomjRpgkaj4ddff+XEiRN89NFHuLu758v9/z2u2ybLhlkskBJvny0XY4GyUrt2bQICAli/fn36vvXr1xMYGEitWrUeeL5Op0t/o3tvs+X/rl988QWvvfYatWrVolKlSixYsACz2czOnTuzPefGjRvs3LmTDh065OpeP/30E8HBwbi7u1O1alWmTJlCWto/hcXp06dp2bIl7u7u1K1bl+3bt2M0GjO08l++fJkePXpQokQJSpYsyQsvvEB4eHj65/3796dLly7MmTOHMmXKEBAQwJAhQzIUzdevX+e5557Dw8ODKlWqsGrVqkyxGo1GFi1axPPPP4+XlxfTp0/P0Xf4r3vxTJkyhaCgIHx9fXnjjTdISUlJPyY5OZnhw4dTqlQp3N3dadmyZa5foLm7uxMcHMx3332Xq/NEwaJWKQS63O1iLuO6hRDivipWrMi8efN4a8JHdP1Zx2sbEklMtfBkRQ37XzHw87JZjB079r4vzgNcNVTw0GK2wJ5wmVBNiIIm193LAXbt2sXMmTM5efIkAFWrVmXkyJE0bdo0V9eZPn06gYGBfPHFF+n7ypQp8zAhPRTrsmHXAXDTk/dFd2oChtnl8vaaOZQ49BxoH617Ua9evVixYgXdunUD4Msvv6Rnz57s3r07L0LMYNWqVbzxxhv3PWbdunU0adIkR9dLSEggNTX1voX+vn37MBqNVK5cOcdx7t27l379+jFz5kyaNGlCWFhYejf0d999F5PJRNeuXQkMDGTXrl3ExcUxevToDNdITU2lU6dONGzYkC1btuDg4MD06dN5+umnOXjwIFqtdRKq3bt34+fnx8aNGzl37hy9evWiZs2avPzyy4C1EL527RobN27EwcGBESNGcOPGjUwxT506lffff58PP/wQBweHB36H7OzcuRO9Xs/GjRsJDw9nwIABeHh48N5776Wfu27dOhYtWkRQUBCzZ8/m6aef5tixY3h4eOT4z7h+/frs27cvx8fbS17lwaIqyE3DuagULkanEvzgzjFCiGJE8mfWWrduTf369Rk/fjxNlu7mh65GKnqq2f+qI52++Zlhw2L58MMP0ev1WZ7fvIwjf99OYef5eJ6q5JLP0Qsh7ifXLd1fffUVrVq1wmg08uabb/Lmm29iMBho2bIlK1euzNW1fvzxR+rXr88LL7yAj48PderUYfHixdken5ycTGxsbIbtUTg7O2foXn7nzp1Hul5Rc6+r78WLF7l48SIhISHpBfiD/Prrr3h7e2fYZsyYke3xHTt2ZP/+/ffd6tatm+PYx44dS4kSJXjiiSeyPebSpUv4+Pjkqmv51KlTGT58OD169KBMmTK0bNmS8ePH8/nnnwOwbds2wsLCWLx4MTVr1qRx48ZMnDgxwzXWrFmD2WxmwYIFVK9encqVK/PZZ59x6dKlDC803NzcmD17NpUqVaJDhw60a9cuveX+77//ZvPmzcyfP5+GDRtSt25dFixYkGE4wD1dunShV69elClThsDAwAd+h+xotVoWLlxI1apVad++PWPHjk3vURAfH8/ixYuZOnUqbdu2pUqVKsyfPx+9Xp/rYQUlSpTg4sWLuTonv+VlHiyq7o3rvhiT8oAjhRDFieTP+3N3d2fu3LkEPzuA+ovj2XkhDRedwsYeRpyv/sbAgQOzXW3nf6UdUSlw+mYK1+5ILyMhCpJct3RPmTKFGTNmMHTo0PR9b775JrNmzWLSpEm89NJLOb5WWFgYCxYsYNiwYbzzzjscOnSIN998E61WS+/evTMdP23atPRWtbyQYUy3XiEir1u6NUZri7M9aB59/Utvb2/atWvHihUrsFgstGvXDi8vrxyd26xZM+bOnZth3/1anZ2dnXF2dn6keO+ZOXMma9asYePGjdm+DQZITEy87+dZOXbsGCEhIRleIJhMJpKSkkhISODvv/8mICAAPz+/9M/r16+f6Rrnzp3Dx8cnw/6kpCTCwsLSf69SpQpqtTr9dz8/P44fPw7AqVOncHBwyPAiolKlSlnOCv7flxUP+g7ZrZ1ao0aNDJ81atSIuLg4Ll++TExMDKmpqQQHB6d/rtFoqF+/PqdOncryetnR6/VZvjwoSPIyDxZV99bqDpcZzIUQ/yL588FUKhUDBw6kcuXKPDNmFMueTOWZyhrWdjXQe10ogwYNYsGCBZn+vXY3qKnlp+fotSR2no/nxZpu9vkCQohMcl10h4WF8dRTT2Xa36lTJ955551cXctsNlO/fn2mTp0KWGec/uuvv1i4cGGWRfeYMWMYNmxY+u+xsbE5mtQrOy4uLkTf/qel+0xeF92K8shdvO2tV69e6X/ms2fPzvF5RqORcuVy3rU+r7qXz5kzh48++ogNGzZQo0aN+x7r6elJVFRUjmME61ruY8eO5emnn870WU4L+Li4OOrUqZNhWMU9/36p8d9lVBRFwWzO/fqb//1HOS++gy1FRUXl+OWOveRlHiyq7i0bdllmMBdC/Ivkz5xr0aIFH3/6GX3fGExUYgp962j58hkDXdf8yZAhQ5g3bx46nS7DOc3LOKYX3d1quKIoknuFKAhy3b08MDCQbdu2Zdq/devWXBfAJUqUoGrVqhn2ValSJduupTqdDhcXlwzbo/j3RGpueulenpU2bdqQkpJCamoqrVu3ttl98qJ7+axZs/jggw9Yv359jtZ5rlWrFpGRkbkqvGvXrs2ZM2coV65cpk2lUlGhQgUuX75MZGRk+jmHDx/OdI1z587h7e2d6Ro5XSe+UqVKpKWlceTIkfR9Z86cITo6+pG/Q3aOHTuWoQX64MGDODk5ERAQQNmyZdFqtYSEhKR/npqayuHDh6lSpUqOvtM9J06cyNFkffaUl3mwqPJxdECnVkgzw9U7MoO5EMLKFvlz/vz5lC5dGr1eT6NGjTh48GC2x65du5b69evj5uaGo6MjtWvXZsWKFQ913/xQt25dliz9gpG/GVhyJAW1SuGb5wy43zzEiBEjMk2CGhxoRKdWuHInjb9vyfAeIQqKXLd0Dx8+nDfffJPQ0FAaN24MWCeXWrZsWabuxA/SpEkTTp8+nWHfmTNnKFWqVG7Deij/7V4ee1OWDPsvtVrN0aNH03/OqeTkZCIiIjLsc3BwyLYF81G7l3/00UdMmjSJZcuWERQUlH5vJycnnJycsjyndu3aeHl5ERISkmkG86tXr/LHH39k2BcUFMSYMWN47rnnCAwMpHPnzqhUKo4dO8bx48eZOHEiLVu2pGzZsvTr148pU6YQFxeXPiTi3tvmbt26MWfOHLp06cK4ceMoWbIkFy9eZP369QwdOpSAgIAHft+KFSvSunVr3njjDebOnYuDgwOjRo3CYDA88NwHfYfspKSkMHDgQN5++23Cw8OZPHkyAwYMQKVS4ejoSL9+/XjnnXdwd3cnMDCQ2bNnk5iYmGWvFbAuF9ixY0cWL16cYT31vXv3Mn78+Ad+D3vKyzxYVKkUhSBXDX/fTuFiTAqBrpoHnySEKPLyOn+uXr2aYcOGsXDhQho1asScOXNo27Ytp0+fzjSMC8DDw4N3332XypUro9Vq2bBhA3379sXHx4e2bds+8vezhUqVKrFo8RJefaUvRk0qL9XQ8H0XA21W7GHatGmMHTs2/RnDqFHRKMDA7vAEdl6Ip6KX7gFXF0Lkh1y3dA8cOJBVq1Zx7NgxhgwZwpAhQ/jrr79YvXo1r732Wq6uNXToUPbv38/UqVM5e/YsK1euZNGiRQwaNCi3YT0UZ2dn2y4ZVkQ8TK+CLVu2ULZs2Qxbq1atbBQhLF68mJSUFF566aUM95wzZ06256jVanr27Mnq1aszfTZnzhyCg4MzbBs3bqR169Z8//33bNu2jaZNm9K8eXPmzZtHUFBQ+jVXr15NfHw8TZs25fXXX2fUqFHAP123jUYjmzdvJjAwkBdffJE6deowcOBAkpKScvXn/Nlnn1GiRAnatm3Liy++yMsvv4y3t/cDz3vQd8hO8+bNKVeuHG3atKFXr1507Ngxw2znkyZN4plnnuHVV1+lcePGnDt3jvXr12c7lj8tLY0zZ85kaD0/cOAAsbGxdO7cOYd/CvaRl3mwKJNx3UKI/8rr/Dlr1iz69etH3759qVq1KgsXLsRoNLJ06dIsj2/evDmdO3emSpUqlCtXjrfeeouaNWvy22+/PepXs6mKFSuyYOEiBm1Vs+5UKnoHhXXdjIRuW8OyZcsyHNuijHVo4+4L8ZjMj7aErBAibygWyyMu6PyINmzYwJgxY/j7778pU6YMw4YNo1+/fjk6NzY2FldXV0JCQrJtzbyfLVu2sGn+SDb2cOToNRPPbPTk559/zvV17jGbzVgsFkqVKpVpjI0omCIiItKXqHpQ0fmwQkJCaNmyJX/99Rdly5a1yT1srX///kRHR/Ptt9/a9D49e/akRo0a6S8qspKcnEx4eDiKomTqDh8XF0dwcDAxMTGPPPykqHvU/JkTa0/EsPRINI8HGRn9vwe/EBJC2EdhzZ0pKSkYjUbWrFnDM888k76/d+/eREdHs379+vueb7FY2L59O506dWLdunVZDqNLTk4mOTk5/fd78wnZMnfez5EjR3hjYD82dnMgONCBc7fNPPZ5PGMmzaRNmzYApJkt9P7+MjHJZia28KF+yQf3ghNCPJyc5s9ct3TntSeffJJjx46RlJTEyZMnc1xw5wVr93Lrz7JkWPHk5+fHp59+yqVLl/LsmuvXr2fbtm2Eh4ezfft2Bg8eTHBwcKEtuPNLSkoK1apVe+CEeqLwCHK1rjl/MUZauoUQee/mzZuYTCZ8fX0z7Pf19c00xO3fYmJicHJyQqvV0rFjR+bNm5ftvDXTpk3D1dU1fbP3vB1169Zl/PtTeXpVImFRZsp5qFjfzcB7499NH7LpoFL4X2lra/eO81kvLyaEyF85GtPt4eHBmTNn8PLywt3d/b4zId6+fTvPgrO1f0+kdq97ucVikZkei5lOnTrl6fXi4uIYN24cly5dwtPTkyeeeIJp06bl6T2KIq1Wy+jRo+0dRraKah60pXszmF+JTSXVZEGjltwqRHFU0PKns7MzoaGhxMXFsW3bNoYNG0bZsmVp3rx5pmPzeuWcvNC2bVuuXLlC+y/nsv8VRxoHOjCjRQpvvfUWq1evxtXVleZlHPnp9B32X0okIdWMUWP3djYhirUcFd2zZ89On+Rq9uzZRaYodXZ2JvruRGquegWL2URCQgKOjoV7mS9hX927d6d79+72DiNPLVq0yN4h2F1RzYO25G1UY9AoJKZauHonlVJuWnuHJISwA1vlTy8vL9RqdYYVQwAiIyPx8/PL9jyVSkX58uUB66SqJ0+eZNq0aVkW3TqdrkAOGezbty8XL16k2/fr+LW7kdfqaTl89TqjRo3i008/paKnFn9nB67eSSPkUgIty+Z/V3ghxD9yVHT/e/bhPn362CqWfPfv2csBXHVw584dKbqFEJkU1TxoS8rdGcxP30whPFqKbiGKK1vlT61WS7169di2bVv6mG6z2cy2bdsYPHhwjq9jNpszjNsuDBRF4Z133qFv3795Z9spPmil55MOepotO8DChQsZNGgQLco48vWfMew8Hy9FtxB2luu+Jmq1muvXr2faf+vWrVwtKVUQODk5YbIoxKXc7WJuUIiJiXnk69p5bjohirR7f7/s2dJclPKgrZWScd1CiH/J6/w5bNgwFi9ezPLlyzl58iQDBw4kPj6evn37AtCrVy/GjBmTfvy0adPYsmULYWFhnDx5ko8++ogVK1bQo0ePh/9SdqLVapk1axZLTjnx3fFUtGqFVc8ZWL38Mw4dOpQ+i/kfEUncSkh7wNWEELaU63W6sysok5OT0WoLVyuGSqXCycmJqEQLTlrlkZcNUxQFs9lMVFTUA8csCSFyx2KxkJaWxq1btzCbzZlmLs/vWLJSGPOgrd0b131Rlg0TQpD3+bNr167cuHGD8ePHExERQe3atdm4cWP65GoXL17M8O9FfHw8r7/+OpcvX8ZgMFC5cmW++uorunbt+nBfyM58fX2ZNWs2/Qa8TJ0Sasp7qFj8pJ7XR7/NmjXfU8Vbx8kbyey6kMCzVQvPzPRCFDU5Lro//vhjwFpYLlmyJMMyCSaTid27d1O5cuW8j9DGXFxciE6KJtAV3PKg6FapVMTGxspM6ELYiMViwcHBwS4vtYpqHrSlINe7RXdMip0jEULYky3z5+DBg7PtTr5z584Mv0+ePJnJkyc/1H0Kqrp169Kn/2C6fTuPfa848lxVDVvPRzN27Fg6vDmNkzeS2Xk+TopuIewox0X37NmzAesD78KFCzN0AdJqtZQuXZqFCxfmfYQ2Zh3XHQXkzbJhKpUKRVGki7kQNnCv0LZXL5KimgdtqdTdlu6rd9JIMVnQygzmQhRLkj9t6+WXX+bAgQO8vfUIs9vqmd1WT8PFv3F13w846JoTFpXKhegUSsvcGkLYRY6L7vPnzwPQokUL1q5di7u7u82Cyk9ZLRv2qBRFka7lQhRBRTUP2pKHQY2jVkV8ipnLsamUdZcHPiGKI8mftqVSqZg2bRrPPfcsrcok0bGihtXPG3hswRwavVGOM0ogO8/H06eO5GAh7CHXgyJ37NhRpBKltXv5PxOp5UXRLYQo2vI6D+7evZunnnoKf39/FEVh3bp1Dzxn586d1K1bF51OR/ny5Vm2bFmexZOXFEWhlKuM6xZCWBW158iCxMvLi2nTPqDP+iSu3jFTxVvN9CccOL76Qyxpqew8H49ZemIKYRe5Lrqfe+45pk+fnmn/jBkzeOGFF/IkqPz072XD3PSP3r1cCFH05XUejI+Pp1atWsyfPz9Hx58/f56OHTvSokULQkNDGTJkCK+++iqbNm3K9b3zg4zrFkLcU9SeIwuaxo0b81TXPvRYmwjAgPpaqjuEEx/yNTcTTPwVWbiWRhOiqMh10b179246dOiQaX/79u3ZvXt3ngSVn/5ddOdV93IhRNGW13mwffv2TJ48mc6dO+fo+IULF1KmTBk++ugjqlSpwuDBg3n++efTx0wWNKVkBnMhxF1F7TmyIHrjjTe4pq/AxwesBfbnnQyYjqwl+cpJdpyPs3N0QhRPuS664+LislzSQaPRFMqC1Tqm2/rzo85eLoQoHuydB0NCQmjVqlWGfW3btiUkJCTbc5KTk4mNjc2w5Zd7y4aFS9EtRLFn7/xZHGg0GiZPnszYnSbO3DIR4KJiTlstN3+ezZ5zt0lOM9s7RCGKnVwX3TVq1GD16tWZ9q9atYqqVavmSVD5ydnZ+Z8x3dK9XAiRA/bOgxEREelr0N7j6+tLbGwsiYmJWZ4zbdo0XF1d07fAwECbx3lPkKv1ATsiLo0kedgTolizd/4sLipVqsTLrw2iz7okTGYLvWtr6ehznatbl3HoStb/TgghbCfHs5ffM27cOJ599lnOnTvHE088AcC2bdv45ptv+O677/I8QFvL0L1cJlITQuRAYcyDY8aMYdiwYem/x8bG5lvh7aZX4aJTEZts5nJMKuU9dflyXyFEwVMY82dh1adPH3bs2MGH+04z+nEdnz2pp/qCDaza1JzH+7exd3hCFCu5Lrqfeuop1q1bx9SpU1mzZg0Gg4GaNWuydetWmjVrZosYberfLd1ueqSlWwjxQPbOg35+fkRGRmbYFxkZiYuLCwaDIctzdDodOp19il1FUQhy1fDX9WQuStEtRLFm7/xZnDg4ODB58mS6d3uBJyuaqO6jZm47Pb2/+oiIF5rg5+5o7xCFKDZyXXQDdOzYkY4dO+Z1LHZhi3W6hRBFnz3zYHBwML/88kuGfVu2bCE4ONgu8eREKbd/im4hRPFWlJ4jC7oyZcowcPBb9FkxkwOvOvJSDQ1f/Xmd92fP59P3R9k7PCGKjYcqugFSUlK4fv06ZnPG8XlBQUGPHFR+ytjSrZCUlERKSkqWk3wIIcS/5VUejIuL4+zZs+m/nz9/ntDQUDw8PAgKCmLMmDFcuXKFL7/8EoABAwbwySefMGrUKF5++WW2b9/Ot99+y88///zoX8pG7o3rlsnUhBBQdJ4jC4OXXnqJjRs3MufAaYYH61jQUU/1hSs53f1pKlWqZO/whCgWcl10//3337z88svs27cvw36LxYKiKJhMpjwLLj/8e0y3Rq3gqLGOdfTy8rJzZEKIgiqv8+Dvv/9OixYt0n+/N/a6d+/eLFu2jGvXrnHx4sX0z8uUKcPPP//M0KFDmTt3LgEBASxZsoS2bds+wreyrVLu1hnML0TJWt1CFGdF7TmyMFCr1UycOJE+3bvwbGUzZdxVTGruwNvvjuf71StRq9X2DlGIIi/XRXefPn1wcHBgw4YNlChRAkVRbBFXvnFxcSEhFVJMFrRqJX3ZMCm6hRDZyes82Lx5cywWS7afL1u2LMtzjh49+kj3zU9l3Kwt3TcSTMQmm3DRyUOeEMVRUXuOLCwqVKhAt54vM+Dnz9nUw5E3G2n55q/TrFy5kp49e9o7PCGKvFwX3aGhoRw+fJjKlSvbIp58p9FoMBgMRCdZ8HFUcDfIsmFCiPsrankwPzhqVfg5ORARl8b5qBRq+WU94ZsQomiT/Gk//fv35/nNm1nxRwQ9a2lZ/JSex+fP44knnqBkyZL2Dk+IIi3X63RXrVqVmzdv2iIWu3F2dpbJ1IQQOVYU82B+KOtube0+HyXjuoUoriR/2o9Op2PixIkM3ZTMjXgzNX3VDK5jYtKkSfftbSWEeHS5LrqnT5/OqFGj2LlzJ7du3SI2NjbDVpCduZnMhejM4wldXFyITrL+7KaXlm4hxP0V5jxoT2XujusOk3HdQhRbkj/tq169ejzx5PMM3ZQMwPhmOq6fDMm0IoYQIm/lunt5q1atAGjZsmWG/QV9AoxLMalM2H4dCzCxhQ+Vvf9ZJ9Y6mdpVANwN0tIthLi/wpoH7a2sh7WlO+y2FN1CFFeSP+1v6NChPNVpOxvPJtKuvAOfPann+RnTadq0KS4uLvYOT4giKddF944dO2wRh8256VX4uzhw+mYK726NZHZ7P4LuTuzz32XDpOgWQtxPYc2D9nave/mlmFRSTRY0aplASYjiRvKn/Tk7OzNu7DgGThzK8dedaFHGgXYl7zBv3jzeffdde4cnRJGU66K7WbNmtojD5px1aqa08mX8tuucuJHMz2fuMLChJ5Bx2TB3vUK4dC8XQtxHYc2D9uZlVOOsVXEnxczFmFTK3W35FkIUH5I/C4aWLVvy+comTN59kKkt9cxqo6fy/NU888wzVKtWzd7hCVHk5Lro3r17930//9///vfQwdia3kHFSzVdGbvtOrsuJPBKPQ+0asU6kVrEvZZuOCYt3UKI+yjMedCeFEWhjLuGPyOTCYtKkaJbiGJI8mfBMW3Cuzz37DP0qmWispeaSS10TJ48ma+++krW7hYij+W66G7evHmmff9eY7Ggj8Wp4avH26jmRoKJg5cTeLyUo3UitQv/tHTLRGpCiPsp7HnQnsq4a61F9+0UKGfvaIQQ+U3yZ8FRKiiAhp168/rPn7O9tyOvN9DwRegJvv/+e7p06WLv8IQoUnI9e3lUVFSG7fr162zcuJEGDRqwefNmW8SYp9QqhSfKOgKw+0IC8J/u5TKRmhDiAQp7HrSne5OpnZcZzIUoliR/FizvvPEqv8WW4Os/U1EpCgs6Gvh47hxu3bpl79CEKFJy3dLt6uqaaV/r1q3RarUMGzaMw4cP50lgtlS/pJHVf8Xy1/UkzBYLzs7OhMlEakKIHCoKedBe7k2mFhaVkj5bsRCi+JD8WbAEuBt47MUhjFg+kicrOtCwpJpuFRKZNWsWU6ZMsXd4QhQZuW7pzo6vry+nT5/Oq8vZVHkPLTq1QmyymUsxqdaW7sR/updL0S2EeBiFKQ/aS4CLBgcVJKRaiIxPs3c4QogCQvKn/fR5simxQf9j7I4kAKa11BOy9Sd+//13O0cmRNGR65buP//8M8PvFouFa9eu8cEHH1C7du28isumNGqFyt46/ohI4q/IZHxkyTAhRC4UhTxoLxq1QilXLeeiUgi7nYqfk8beIQkh8pHkz4Knnr+B8h37s/DjQ/StbaJuCTUfttYxecoUvv32WzQaydNCPKpcF921a9dGURQsFkuG/Y899hhLly7Ns8BsrbrP3aL7ehLP+Lhw+25Lt4dBIS4uDpPJJDM3CiGyVFTyoL2U9dBwLiqFc7eTaRxktHc4Qoh8JPmz4FGrFDrVKcWlpj0Z+PMSQl4x0ru2lqWh5/nqq6/o27evvUMUotDLddF9/vz5DL+rVCq8vb3R6/WPFMgHH3zAmDFjeOutt5gzZ84jXSsnavjqgRj+ikymV/l/im5HrYJGZSEuLi7LcUdCCGGrPFhcVPTUseVcPGduyWRqQhQ3kj8Lpjblnfi6bgdCj21l8ZErvFZPy6cd9AR/toD27dvj5+dn7xCFKNRyNKbbw8ODmzdvAvDee+/h4eFBqVKlKFWqFIGBgY+cKA8dOsRnn31GzZo1H+k6uVHBU4tKgagkE2atM7HJYDL/09odExOTb7EIIQo+W+fB4qSilw6AM7dSMP+ntUsIUfRI/iz43A1qGpdyxqPN64zZlsyNeDPVfNS8VsvE9OnT7R2eEIVejorulJSU9HHOy5cvJykpKc8CiIuLo3v37ixevBh3d/f7HpucnExsbGyG7WHpHFQEuVrHqFxOUKHV6dKXDfMwKERHRz/0tYUQRY8t82BxU8pNg1atEJ9i5todmUxNiKJO8mfh0KGiMzr/Spgrt2PklmQAJjbTcergNnbv3m3n6IQo3HLUvTw4OJhnnnmGevXqYbFYePPNNzEYDFkem9vxOIMGDaJjx460atWKyZMn3/fYadOm8d577+Xq+vdT3kPLhehUzt5OwdXVlVsJ8XgZpaVbCJGZLfNgceOgUijrruXUzWTO3EqmpItM0iNEUSb5s3Co4aujrLuGv5v2Ys0X+3glPJWmpRyY207PW9Om0bBhQ+mVIMRDylFL91dffUWHDh2Ii4tDUawFaVRUVJZbbqxatYojR44wbdq0HB0/ZswYYmJi0rdLly7l6n7/Vc7Dul7sudspuLj8M67bU4puIcR/2CoPFlcVvaz598xNGdctRFEn+bNwUBSFp6u4oDY44/nEK7z+SxJpZgvPVtFQQx/B559/bu8QhSi0ctTS7evrywcffABAmTJlWLFiBZ6eno9040uXLvHWW2+xZcuWHL810+l06HS6R7rvv6UX3VEpuLm5cTvxCiAt3UKIzGyRBwuDS5cucezYMZycnDAajXh6ehIQEPDIS8hU8LxbdN9KzoswhRAFWHHNn4XR/0o5suxINLcrNSfh723M2X+KEY11zGuvp86Sz3nyyScpVaqUvcMUotB55NnLH9bhw4e5fv06devWTd9nMpnYvXs3n3zyCcnJyTZfsquMuxYFuJVgIsgp47JhUnQLIbKTV3mwMNi/fz+fz55EeQ8VsckWrt6xcDvFgZo1a9KsWTM6dOiAr69vrq9b0dP6AjXsdgqpJgsatZLXoQshCqDilD8LI41a4clKzqz4IxqvNq8z+bPX6VZdQzkPFSMaqZg6dSoLFy5EUSRnC5EbOepebgstW7bk2LFjhIaGpm/169ene/fuhIaG5ssa2QaNipIu1vcOit6JW/e6lxul6BZCCICEhASerOjAzj6OHHnNiYgRzlwdomNM2RNc2/wxT3dow6hRowgLC8vVdf2dHXDUqkg1Q3i0dDEXQjy8+fPnU7p0afR6PY0aNeLgwYPZHrt48WKaNm2Ku7s77u7utGrV6r7HF0ftKjihVStE6kry+JPdGLLROvHd20203Di1n02bNtk5QiEKH7sV3c7OzlSvXj3D5ujoiKenJ9WrV8+3OMq4W7s4pmmcpKVbCCH+Iy4ujvhUOHnDxJVYMyazBS+jiueqalj5nJELbxlpkLCNnt2eY/bs2SQkJOTouoqiUDG9i7kU3UKIh7N69WqGDRvGhAkTOHLkCLVq1aJt27Zcv349y+N37tzJiy++yI4dOwgJCSEwMJA2bdpw5cqVfI684HLVq3mijCMAukYvsueWOxvPpqFzUJjfQc+MGdOJi4uzc5RCFC52K7oLintFd5L6X0W3XpYME0IIAFdXV/YnlKLlDy5UWaJgnHqHx5bE8/6uZM5HmfEyqnivuZ4/++u5tfdLnnnmaQ4dOpSja1eUcd1CiEc0a9Ys+vXrR9++falatSoLFy7EaDRmOwv6119/zeuvv07t2rWpXLkyS5YswWw2s23btnyOvGB7uooLAEduQP+3RjH4l0SS0iy0LudAc+9oPv30UztHKEThUqCK7p07dzJnzpx8vWcpN+tkQHGKIUNL96OsAS6EEEVFjx49+OGHH9i8eTP79u1j28499Bwzl1D3DtRYYqLbmgQuRJsp5aZiXTcj8x6PYdigfqxYsQKLxXLfa98b1y0zmAshHkZKSgqHDx+mVatW6ftUKhWtWrUiJCQkR9dISEggNTUVDw+PLD9PTk4mNjY2w1YcBLpqqOevxwLc8m2AX9XGTPvN+oJ0Tjs9P61ZyenTp+0bpBCFyEMV3efOnWPs2LG8+OKL6d13fv31V44fP56nweWHMm7WlpYYjDKmWwiRY0UpD+aGm5sbzZo14/3332fT5i04PdabWouSmLonmRSTheeqatj/sp6fls5k9OjRpKRkX1BX9LIW3ZdiUklIMefXVxBC2Fle5c+bN29iMpkyTebo6+tLREREjq7x9ttv4+/vn6Fw/7dp06bh6uqavgUGBuYqxsLs2arW1u6tYfEMGvY2sw/C2dtm/J1VjGvqwOTJkzGbJXcLkRO5Lrp37dpFjRo1OHDgAGvXrk0f0/HHH38wYcKEPA/Q1rwd1Rg1CuicZUy3ECJHiloefFiurq4MGTKEFau+Z92dmjy+NJ5LMWYqeak58Koj5jObeeONN0hMTMzyfHeDGl8nByzAyZvSxVyI4qAg5c8PPviAVatW8cMPP2S7fO2YMWOIiYlJ3y5dupSvMdpTTV89lby0pJgsHIpzo2ffVxn8izWfv9lIi/nan6xfv97OUQpROOS66B49ejSTJ09my5YtaLXa9P1PPPEE+/fvz9Pg8oOiKJR206IyOGfqXm4ymewcnRCiICpqefBRlS1bliVLllCvU3/qLYpn+/k0nHUK67sZ8Is6yIABA7KddKe6j7W1+/j1pPwMWQhhJ3mZP728vFCr1URGRmbYHxkZiZ+f333PnTlzJh988AGbN2+mZs2a2R6n0+lwcXHJsBUXiqLQrborAL+cucPz3XtzIsWf746n4qBS+LSDntmzPpJ5kITIgVwX3ceOHaNz586Z9vv4+HDz5s08CSq/lXLToNL/U3Q7aRU0KovMzCiEyFJRzIOPSqVSMWjQIMZP/5hnf1BY9VcqWrXCt88bqJp2jNdeey3Lmc2r+Vhbl/6KlJZuIYqDvMyfWq2WevXqZZgE7d6kaMHBwdmeN2PGDCZNmsTGjRupX79+ru5Z3NQvaaCcu5akNAsbw1J45513GLopibgUC02CHHimdEK+z8ckRGGU66Lbzc2Na9euZdp/9OhRSpYsmSdB5bcy7lpUBidiksBkli7mQoj7K4p5MK80b96chYuWMHCrhqVHU1CrFJY/o6dS2gmGDRtGampqhuOr3W3pPnPLOiZcCFG05XX+HDZsGIsXL2b58uWcPHmSgQMHEh8fT9++fQHo1asXY8aMST9++vTpjBs3jqVLl1K6dGkiIiKIiIiQhpZsKIpC1xrW1u6fTsdSu2Fjqj7Wigk7rS9KZ7TWseOXtfzxxx/2DFOIAi/XRXe3bt14++23iYiIQFEUzGYze/fuZcSIEfTq1csWMdpcKTcNioMOHDREJf1TdEt3GSFEVopiHsxL1atXZ8nnSxn1m4GFv6egUhS+etaA7up+xo0bl2HiHX9nB9z1atLMcEbGdQtR5OV1/uzatSszZ85k/Pjx1K5dm9DQUDZu3Jg+udrFixczFPkLFiwgJSWF559/nhIlSqRvM2fOzLPvWNQ8FmggyFVDQqqFn0/fYdSoUSz+U82xSBNeRhXTWuqYPHkyaWlp9g5ViAIr10X31KlTqVy5MoGBgcTFxVG1alX+97//0bhxY8aOHWuLGG2utJsWRVEydDH3lKJbCJGNopgH81qlSpX4fOkXvLNXy3fHrV3N13U1cu3Ir3z88cfpxymKkt7affy6FN1CFHW2yJ+DBw8mPDyc5ORkDhw4QKNGjdI/27lzJ8uWLUv//cKFC1gslkzbxIkTH/GbFV0qRaHL3bHd60/F4urpw2sDBzHwZ+tcHP3raXG98zerVq2yZ5hCFGi5Lrq1Wi2LFy8mLCyMDRs28NVXX3Hq1ClWrFiBWq22RYw256hV4e2oRmVw4Ua8tej2dpSiWwiRtaKYB22hXLlyzPvkU/pthG1h1snVfnrRyK/fLmXDhg3px1XztRbdf8lkakIUeZI/C6empYyUcHYgNtnMr3/f4aWXXuK6vixfHLUuC7nwST0L5s/L8VJtQhQ3D7VON0BgYCAdOnTgueeeIz4+nqioqLyMK9+VdtOiNrpyI+Fu0W1UuH37tp2jEkIUZEUtD9pCrVq1mDbjI174PoVjkSb8nVWs62pk2qQJ/PXXX8A/k6mdupGcPq+GEKJok/xZuKhV/7R2rzkeS6pFzbhx4xi1NZlbCWZq+6kZUCuNyZMnY7FIHhfiv3JddA8ZMoTPP/8cAJPJRLNmzahbty6BgYHs3Lkzr+PLN6XdNKiMbv8U3Y5SdAshslZU86CtNG3alDdGvEOnVQncTDDToKSaT9uqefPNN7h58yalXDU4alUkplkIi0qxd7hCCBuS/Fl4PVHGkQAXa2v3DydjqVOnDs3aP8vwzdahQROb6bj05242b95s50iFKHhyXXSvWbOGWrVqAfDTTz8RFhbGqVOnGDp0KO+++26eB5hfSrtrURtduH63e7mPo0reugohslRU86AtvfDCCzzWrivPf5tIqslC95oaupeLZfTo0WAxU9VbxnULURxI/iy81CqFHrXcAFh3MpaYJBNDhw5lw2VntoalYdAofPakgWnTpsoKQEL8R66L7ps3b+Ln5wfAL7/8QpcuXahYsSIvv/wyx44dy/MA80tpNw1qo9s/Y7qle7kQIhtFNQ/a2qhRo0j0rceQTdax2zNa6bBc/p1FixalT6b2Z4SM6xaiKJP8Wbg1DjJSzkNLYpqF747H4OrqyujRYxiwIZHEVAutyjrQMeAOs2fPtneoQhQouS66fX19OXHiBCaTiY0bN9K6dWsAEhISCvUEGCVdNGgcXbmRYF3KxsdRkZZuIUSWimoetDWNRsPMmTNZE+7Gt8dT0agVVj9vYNUXC1BdtT5sH4tMIlXW6xaiyJL8WbipFIVetd0A+Pn0Ha7Hp9G2bVsCav6P93ZZeyrNaqNj969rOXTokB0jFaJgyXXR3bdvX7p06UL16tVRFIVWrVoBcODAASpXrpznAeYXB5WCj5dHevdyaekWQmSnqObB/ODu7s6HH85kwC8pnL1tprSbiqWd9Hw85V0c06JJTLNw8oZ0MReiqJL8WfjVLaGnuo+OVDOsCI1GURTGjh3Lgj8cCI0w4WlUMautjvfff5/kZMnnQsBDFN0TJ05kyZIl9O/fn71796LTWbsEqtVq69i8QizIzyu9e7mPTKQmhMhGUc6D+aFu3br07v8GXb5LIDnNwtOVNfSsEEfUz7OwmE0cuZZo7xCFEDYi+bPwUxSFV+u5A7DjfDxnbibj5+fH64PfpN9PiZgtFnrU1FJRfYlFixbZOVohCgaHhznp+eefz7Svd+/ejxyMvZXz9yL0btHtaVRISkwkMTERg8Fg58iEEAVNUc2D+aVv3778/vvvDN10gE87GpjRSsdvS0M5e2gdRzy70aeOu71DFELYiOTPwq+8p44nyjqyPSyeJYejmN7Gl27duvHLL7/w8YHTDHlMx8KOBuosXkrr1q2lF4Mo9h6q6I6Pj2fXrl1cvHiRlJSMy7u8+eabeRKYPVQp5cvNu0uGOagU3A3Wcd1SdAsh/quo5sH8olKpmDp1Ks8//xwtjsfxQjUNX3U2UHfJCk6VqUPUE764G2R8pxBFkeTPoqFXLTf2hidw4kYyey8m8HgpRyZMmMDLPbrSubKZMu4qJjd3YOzYsXzzzTdoNBp7hyyE3eS66D569CgdOnQgISGB+Ph4PDw8uHnzJkajER8fn0KdLKuWdCcVB6KTLLjplfTJ1Pz9/e0dmhCiACnKeTA/ubu7M336DAa8/jLBgWoqean5sKUDQ36ayYEONWlX2dPeIQoh8pjkz6LDy9GBZ6u68M2xGL44EkWDkgYqVqxI154v88qPn7O1lyODG2pZe/IsixYtYtCgQfYOWQi7yfWY7qFDh/LUU0+ltwDv37+f8PBw6tWrx8yZM20RY77xNDrgYHTherx1BnOZTE0IkZWinAfzW/369Xnmxb70WWcdx/16Ay2t3K6ydOEndo5MCGELkj+LluequeBlVBMZb+K747EAvPbaa1x0KMvC3629GD7vZGDVl0s4ceKEPUMVwq5yXXSHhoYyfPhwVCoVarWa5ORkAgMDmTFjBu+8844tYsw3iqJgdHGTydSEEPdVlPOgPQwePJgrugrM2W+d5Xbp03puhHzPvpAQO0cmhMhrkj+LFr2DKn1StTXHY7h6JxWtVsvkyZMZvT2VC9HWbuZTW1i7maempto5YiHsI9dFt0ajQaWynubj48PFixcBcHV15dKlS3kbnR24urlz4+64bm9Zq1sIkQVb5MH58+dTunRp9Ho9jRo14uDBg9keu2zZMhRFybDp9fqHum9BoNFomDZtGhP2WDh+3YSfk4pFT+oZ8867xMTE2Ds8IUQeKurPkcVRkyAjdUroSTPDZ4duY7FYqFq1Ki/27sfL6629mAbW1xKUFsbChQvtHK0Q9pHrortOnTrpi903a9aM8ePH8/XXXzNkyBCqV6+e5wHmNy9PT1mrWwhxX3mdB1evXs2wYcOYMGECR44coVatWrRt25br169ne46LiwvXrl1L38LDwx/6+xQE5cuXZ+AbQ+nxQyIpJgudq2joFBDNlClT7B2aECIPFfXnyOJIURQGNPDAQQWHryax71ICAP379+eqrjyfHPynm/m3Kz7n+PHj9gxXCLvIddE9depUSpQoAcCUKVNwd3dn4MCB3Lhxo0isxefv+0/R7euk4tatW3aOSAhR0OR1Hpw1axb9+vWjb9++VK1alYULF2I0Glm6dGm25yiKgp+fX/rm6+v70N+noHjppZfQlWrA+B3WbuYft9NzKmQjv/zyi50jE0LklaL+HFlclXTR8EI1VwAWHowiLtmERqNh8uTJjN2ZRliUmVJuKqa31PDuu++SnJxs54iFyF+5nr28fv366T/7+PiwcePGPA3I3sr4+3It3DqRmr+Two1LN+wckRCioMnLPJiSksLhw4cZM2ZM+j6VSkWrVq0Iuc+Y5ri4OEqVKoXZbKZu3bpMnTqVatWqZXt8cnJyhoec2NjYh47ZVlQqFZMnT+b5556lQ4U0/lfKgS87G3hyymTq1q2Ln5+fvUMUQjyiov4cWZy9UN2VPeHxXI5NY8mRKIYEe1G5cmW69+1P3/WfsauPI/3raVl78gIff/wxI0eOtHfIQuSbXLd0F3X+fj5cibW2dPs7q+7bvVMIIR7VzZs3MZlMmVqqfX19iYiIyPKcSpUqsXTpUtavX89XX32F2WymcePGXL58Odv7TJs2DVdX1/QtMDAwT79HXvHz82PsuPH0+iGR2GQLjwc58FqNZMaNG4fZbLZ3eEIIIbKhVSu8FeyJAmw9F8/Ra9bx3K+++irXDRWYe8D64nfZMwZ+WbOCffv22TFaIfJXrovuyMhIevbsib+/Pw4ODqjV6gxbYefj48PVO3dbup0VKbqFEJnYOw8GBwfTq1cvateuTbNmzVi7di3e3t589tln2Z4zZswYYmJi0reCPGFRu3bt8K7dmrc2JgEwqYWOxPMH+eabb+wcmRDiUdk7fwrbquKt58lKzgDM23+LhFQzGo2GKVOmMH63hb/uTpb5eSc9Y8e+KxMWi2Ij193L+/Tpw8WLFxk3bhwlSpRAURRbxGU3Pj4+XLljbeku4awQH3eHxMREDAaDnSMTQhQUeZkHvby8UKvVREZGZtgfGRmZ4+7UGo2GOnXqcPbs2WyP0el06HS6h44zv02bOI52nX7n6VOJPFNZw4rOBh7/eDbBwcGULVvW3uEJIR5SUX+OFNCrthsHLycQGW9i8e+3eSvYi4oVK/L6m8N4aekMDvVzpFMlDc/+HcOECROYO3eu/P9AFHm5Lrp/++039uzZQ+3atW0Qjv35+PgQGWfBbLHgoFLwNircuHGDoKAge4cmhCgg8jIParVa6tWrx7Zt23jmmWcAMJvNbNu2jcGDB+foGiaTiWPHjtGhQ4dHjqeg8PNyo0mv0fT/4m2CA9TU8FUztkkaY8aM4auvvkKj0dg7RCHEQyjqz5ECDBoVQ5t4MWZzJFvOxdOgpJHGQUZeeukl9uzZw9tbDzGnnZ5ZbfXUW7SLNWvW8MILL9g7bCFsKtfdywMDA7FYLLaIpUBwdHREazASGXdvXLd0MRdCZJTXeXDYsGEsXryY5cuXc/LkSQYOHEh8fDx9+/YFoFevXhkmWnv//ffZvHkzYWFhHDlyhB49ehAeHs6rr76aZzEVBM+2aUpSlSd59SdrN/PhwVq84k/LDMdCFGJF/TlSWFX30fNcNRcAPjlwi9sJaSiKwuTJk/nqb0c2nU3DqFFY+ayBOR/N4Ny5c3aOWAjbynXRPWfOHEaPHs2FCxdsEE7B4PuvLuYlXWQyNSFERnmdB7t27crMmTMZP348tWvXJjQ0lI0bN6ZPrnbx4kWuXbuWfnxUVBT9+vWjSpUqdOjQgdjYWPbt20fVqlXzJJ6ColGAEZ8n+rLxph+Lj6SgUhSWP2Ng1fLF/Pnnn/YOTwjxEIrDc6Sw6l7TjXLuWmKTzcwOuYXZYsHLy4v33p9En/WJ3EwwU6eEmvebWhg+fDgJCQn2DlkIm8lR93J3d/cMYy3i4+MpV64cRqMxUxe/27dv522EdmCdTC0SUOPvbO1eLoQo3mydBwcPHpxtd/KdO3dm+H327NnMnj071/cobJy0KpqUdSP+yeGM+G4ELcs4UNZdxazWGt555x2+/fZbjEajvcMUQjxAcXuOFFYatcLwJp4M/TWCo9eS+PavGLrVcKNZs2bs6diFPuu+Z8NLRt5qpGNPeDiTJ09mypQpMr5bFEk5KrrnzJlj4zAKFm9vb67e+WfZsDBp6Rai2CtuebCgaFvemV0XKpDW8EV6/fANu/sa6VtHy49nrjBr1izGjh1r7xCFEA8g+bP4CnLTMrChB3NCbrHyzxiqeuup6adn5MiR9OjxB9P3nuftJjqWPm2g7mcb+OGH+jz77LP2DluIPJejort37942ufm0adNYu3Ytp06dwmAw0LhxY6ZPn06lSpVscr+c8vHx4co567JhJZ0V9kvRLUSxZ6s8KO6vuq8OPycHrjV8gcvXjjJ971nGPK5j0ZN6aiz4lubNm/P444/bO0whxH1I/izeWpVz4q/IJLaGxfPhbzf5uGMJ3A06PvroI17q1oXGAWk0LeXAdy8YaT59KtWqVbN7LSBEXsvxmG6z2cz06dNp0qQJDRo0YPTo0SQmJj7SzXft2sWgQYPYv38/W7ZsITU1lTZt2hAfH/9I131U1u7l/0ykdjVCim4hhG3yoLg/laLQupwTikpNqWdHMC1EITTChLejisVP6Rk/fhzR0dH2DlMI8QCSP4u3AQ09CHLVEJVkYuruG6SaLAQFBTF+4vt0+z6RG/HW8d3TWygMHz6cO3fu2DtkIfJUjovuKVOm8M477+Dk5ETJkiWZO3cugwYNeqSbb9y4kT59+lCtWjVq1arFsmXLuHjxIocPH87y+OTkZGJjYzNstuDt7c2VWGtLt7+ziqsRkQ84QwhRHNgiD4oHa1nOEZUC4RZver8+lB5rE0lOs/BUJQ2dAmKYNGmSzIYsRAEn+bN40zuoeLeZN44ahZM3kllw8DYWi4U2bdrQ/KkX6b42EbPFwoD6Wpq7XWX06NGYTCZ7hy1Enslx0f3ll1/y6aefsmnTJtatW8dPP/3E119/jdlszrNgYmJiAPDw8Mjy82nTpuHq6pq+BQYG5tm9/83X1zd99vIgVxVRN6/n6fcUQhRO+ZEHRWZeRgfqljAAoK7WDreKwbyzPRmAOe30nD20hQ0bNtgzRCHEA0j+FCVdNIxq6o1Kgc3n4thwxtqaPXz4cK4Zq/DeLmteX/iknqRze5k/f749wxUiT+W46L548SIdOnRI/71Vq1YoisLVq1fzJBCz2cyQIUNo0qQJ1atXz/KYMWPGEBMTk75dunQpT+79XwEBAZyPsv4j4GFQcFKnyrJhQgib50GRvQ4VnQDYdC6O0eMmsvSEnp0X0nDSKqzobOCDqZO5ePGinaMUQmRH8qcAqOdvoHdtNwAW/x7FocsJaLVaPvroIz7508i6U6noHRTWdjHw0zdL2Lhxo30DFiKP5LjoTktLQ6/XZ9in0WhITU3Nk0AGDRrEX3/9xapVq7I9RqfT4eLikmGzBU9PT0xqPZFx1sK7jLuKsHDbFPhCiMLD1nlQZK9+SQOBrhoSUy0cjjYwdtx4eq9LJDrJQuNAB0Y3MjFixAhSUlLsHaoQIguSP8U9z1Z1oVVZR8wW+GDPTU7fTMbf35+ZH82i70+pHL9uoqSLirVdDEyaOI5Tp07ZO2QhHlmOZi8HsFgs9OnTB51Ol74vKSmJAQMG4OjomL5v7dq1uQ5i8ODBbNiwgd27dxMQEJDr8/OaoiiULFmS89HX8HVSUdZdxeFTF2jcqIG9QxNC2JEt86C4P5Wi8GxVF+aG3GL9qTt8/kwb9uzZwys//sz3XYyMeVzHzq/OMGvWLEaPHm3vcIUQ/yH5U9yjKAqDH/MkKsnE4atJvLfjOh+29aNBgwYMHjaap+dP4VA/J4IDHZjVMoU333yDlSu/wcvLy96hC/HQctzS3bt3b3x8fDKMqe7Rowf+/v4Z9uWGxWJh8ODB/PDDD2zfvp0yZcrk+gvYSkBAAGFR1nHdZdxUHDsbbueIhBD2Zos8KHKueWlHPAxqbiea2HUhnnfeeYejSYHMP2Rt3V7R2cD29SvZtm2bnSMVQvyX5E/xbw4qhdFNvangoSU22cz4bZFEJZro0qULtZ94lq5rEjCZLbxSR8tLpW/z+uuvk5CQYO+whXhoOW7p/uKLL/L85oMGDWLlypWsX78eZ2dnIiIiAHB1dcVgMOT5/XIjICCAsKv7ASjrrmLlxct2jUcIYX+2yIMi5zRqhU6VnVl2NJq1J2JpWbYEM2fOpG/Pl2gSaKK2n5qvnzXQefw4qlSpgr+/v71DFkLcZcv8OX/+fD788EMiIiKoVasW8+bNo2HDhlkee/z4ccaPH8/hw4cJDw9n9uzZDBkyxGaxiewZNComPOHDyE0RXLuTxvjtkUxt5cu7777LK6+EMXzzcea00zOzjZ6L3/3NyJEjmTt3Lg4OOS5fhCgwctzSbQsLFiwgJiaG5s2bU6JEifRt9erV9gwLuNfSbR3TXdZdxe3IqySkyAybQghhT+0rOGPQKFyMSWXvxQQqVqzI0JGj6fJdInEpFlqUcWBo3RSGDx9OcnKyvcMVQtjY6tWrGTZsGBMmTODIkSPUqlWLtm3bZjsBbkJCAmXLluWDDz7Az88vn6MV/+WmV/P+Ez646VWcj0rl3a2RJJpVzJ49m++veDP3gDWPr+hswHxhLx988IEsESkKJbsW3RaLJcutT58+9gwL+G/RrZAWHcGx60l2jkoIIYo3R62KZypbJ9H8MjSaNLOF5557jvKN2vLahkQAJjTTUSr5lKzfLUQxMGvWLPr160ffvn2pWrUqCxcuxGg0snTp0iyPb9CgAR9++CHdunXLML48O8nJycTGxmbYRN4q4axhaitf3PQqwu4W3g6ObixYsJD39utYezIVnYPC+m5Gjm79Ltv/bYUoyOxadBdkAQEBnI+2Ft2lXFVYEqI4cD7avkEJIYSgc1UX3PQqrt5JY9PfcSiKwvjx49kbWzJ9fPfXzxo4+dtP910RQwhRuKWkpHD48GFatWqVvk+lUtGqVStCQkLy5B7Tpk3LMOY8MDAwT64rMgpy0zKttV+GFm93v0DmzJ3HyxtMhFxKw8Og8Gt3I6uXzOW7776zd8hC5IoU3dkoWbIkl2MtpJos6BwU/J0VQk6cl1YTIYSwM6NGRbcabgB8cyyahFQzTk5OzJ07l3d3q9gTnoarXmFdVwML5szg999/t2/AQgibuHnzJiaTCV9f3wz7fX190+cJelRjxowhJiYmfbt0SZaQtZVAVw3TWvvhrldzITqVMVsiCapUk3HvT6XTqkTO3jZT1l3Flp5GPp05mQ0bNtg7ZCFyTIrubBgMBjy9vNO7mFfyVBFx6QLh0bKepBBC2Fu7Ck6UcHYgOsnMDyes3T3LlSvHxElTeOG7RC7HmqnirebzJzWMGD4szx7AhRDFi06nw8XFJcMmbCfQVcPU1r54GNRcjEllxKYIKjVqQd9BI2i9Ip7LsWaq+ajZ1MPAh5PGymoVotCQovs+ypUrx1/XrUV3DV81qTfDOXgl0c5RCSGEcFAp9K7tBsD3J2K5Emt9IdqqVSs6vfQqz32bSHKahc5VNAyqEc+gQYOIi4uzY8RCiLzm5eWFWq0mMjIyw/7IyEiZJK0QC3TVMLOtHwEuDtxMMPH2pghqt+lCu26v0erLBK7Hm6lbQs2PXXVMGDOC3377zd4hC/FAUnTfR4UKFTh2r+j2UZF6I5z9l2SNQCGEKAiaBBmpU0JPisnCJwdupQ//GTRoENoywbz+i3Xyy/ea62mkP8+wYcNITZXeSkIUFVqtlnr16mVo7TSbzWzbto3g4GA7RiYelY+TAx+29aOqt474VAvjt0dSrX1vGnXsQesVCUQlWmgS5MD3z2sZPfwtdu/ebe+QhbgvKbrvw1p0mwCo4aMm5cYFztxKISJOHtqEEMLeFEVhUCMPdGqFY5HJbD5rbclWq9V88MEHbI8qyfS91uVmPu+kxxBxkIkTJ8rcHEIUIcOGDWPx4sUsX76ckydPMnDgQOLj4+nbty8AvXr1YsyYMenHp6SkEBoaSmhoKCkpKVy5coXQ0FDOnj1rr68gsuGsUzO5lS+Ng4ykmWHmvlt4tHiFCo8/S7uvE7iTbKFlWQfWv+DAuyPfYvPmzfYOWYhsSdF9HxUqVOBYpLWlu5qPCnPMNcypSey5IK3dQghREPg5aeh5t5v50iNR3EpIA8DV1ZVPP/2UD48Y+eZYKhq1wtouRsL2b+DTTz+1Y8RCiLzUtWtXZs6cyfjx46lduzahoaFs3LgxfXK1ixcvcu3atfTjr169Sp06dahTpw7Xrl1j5syZ1KlTh1dffdVeX0Hch1at8PbjXjxX1TqW/odTd0hu3A/3mu1o93UCMUkWmpV24NcXtUwZN5KffvrJzhELkTUpuu+jXLlyhEVbSEi1YNQolHVTSL15id3h8fYOTQghxF1PVXKmgqeW+FQLH+27hclsbckODAxk3ifzGbDJwq4L1hnNf+1u5KevP2P16tV2jloIkVcGDx5MeHg4ycnJHDhwgEaNGqV/tnPnTpYtW5b+e+nSpbFYLJm2nTt35n/gIkfUKoW+dd0Z3dQLvYPCseup3Gw4EF21DrT8Mp5bCWYeC3Bgaw8Ds6eMlfwuCiQpuu/DYDBQMiCQEzesrd01fVWYbl3gfFQqF6JS7BydEEIIsD6QDWtsfRj7MyKJVcdi0j+rUaMGk6fN4Nnvkjhxw0SAi4rNPY18NmsK69ats1/QQgghcuXxUo581M4Pf2cHbibBhVr9UKo/TfPlCUTGmalTQs3O3ga+nDeF2bNnYzab7R2yEOmk6H6AChUq8GekdVx3LV81bnHhAGw8K7PgCiFEQRHoqmFwI08AVh2L4cjVf1aaaNGiBQOHjqH91wlcijFT1VvNlp5G5kybwK+//mqvkIUQQuRSKTcts9uXoEmQETMqrtd5mfgqz/K/ZQlcjrXm9/2vOHL0l2WMHj2a5ORke4csBCBF9wNVrVqVg1esRXeTQDXJl08AsCMsjqQ0eYMmhBAFRfMyjrSr4IQFmLn3Jlfv/DPpZbdu3ej40gCe+DKBa3fM1PJT8+tLBj6YOEbGAAohRCHiqFUxuqkXQ4I9MWpUmBr15nbVbgR/Hs+xSBMlnFXs7uuIcnYL/fv3Jzo62t4hCyFF94PUq1eP3eHWojs4UE3Ehb/xckgmPtXCrvMytlsIIQqS/vU9KO+hJTbZzIRt14lOMqV/NnDgQJo+3ZtWKxK4EW+mQUk1W3romTV5LN99950doxZCCJEbiqLQqpwTH3csQRVvPY6NXyKh8WCaLk9k87k0nLQKP3Yz0Eh1jG7dunHq1Cl7hyyKOSm6H6B69eqcjVFzM8GMUaNQx09FZVMYAD+cjMUsS88IIUSBoVUrTGjhg6+TA9fi0nhv+3USU629khRFYejQodRp8yItv7SOAax7dwzgolmTWLp0qSwnJoQQhUgJZw3T2/jSu7YbnnXboXtyAk+usbD0aApqlcKnHQ1MrHuLV3r34Mcff7R3uKIYk6L7AXQ6HTVq1OC3i9bWkqal1KgjTuKoVXE5No39lxIfcAUhhBD5yd2g5v0nfHDRqfj7dgqTdt3IUHi//fbb1G7bnWbLErgSa6aaj5rf+jqyYflcpk6dislkesAdhBBCFBRqlcIL1V2Z/2QJghs3wevF6fTfbmT01iRMZguv1tWy9SUHPpsxlsmTJ5OamvrgiwqRx6TozoF/dzH/X5Ca0CO/07GiEwCrj8VIa7cQQhQwJV00TGjhg+HujObjt18nPuWfwnvkyJE0f74fTb+I59xtM+U8VIS8YuTi3u8YMmQI8fEyfEgIIQqTEs4aJrX0YcwzDaj46hxmny9Du68TuJlgHU50uL8jtw6toUePHoSFhdk7XFHMSNGdA/Xr12fHhTQAnijjwNmTx2jimYRBo3AuKoU9FxLsHKEQQoj/quSlY3IrXxy1Kk7eSOadrZFEJVpfoCqKwuDBg3n2lWE0XhrPwSsmPI0qtvUy4nfzN7p3786FCxfs+wWEEELkiqIotCjrxBc9a/H65E856NaOeovi+f2qCS+jik09jPQpeY6eL3Vl9erVMqRI5BspunOgfv36nI0zcj7KjKNWoX15Nft3b+e5qi4AfBkaRYpJ/tIKIURBU8lLx7RWvrjoVJy7ncKwX69x9tY/S8j06dOHEROm02ZlCutPpaJ3UPjmOSMDy12mx0svsn37djtGL4QQ4mE4alW80sCH7+dPIuDpt2n6ZSqfHU5BpSiMbKxjdw81P3w2lUGDBnHjxg17hyuKASm6c0Cr1dKiRQu+PWEdA9KlmobNmzfzTBUXPAxqIuNNrD4WY+cohRBCZKWsh5YZbfwo6ezAjQQTb2+OzLD6RPv27ZkzfxF9NmqYusdakA8P1vFDZzPT3h3C5MmTSUpKslf4QgghHpKfk4bPRnZn8idfMPKQD52+sa5eUctPze/9HamfeoDOT3di9erVmM2yFLCwHSm6c6hNmzZ8d9xadHes4MCZv45y49oVXmvgDsCa4zFciEqxZ4hCCCGyEeCq4aP2JajnryfZZOHDvTeZve8mCXfHedevX5+V36xi+eVSPLs6gTvJFlqUceDPAY7EH/2ebt26cfz4cTt/CyGEEA+j7WM12fbTGlKrPkuNBfH8fMbas2lWWz3buln45fOp9OjRg9OnT9s7VFFESdGdQ40bN+ZMnCNnbplw1Cq8UkfD8uXLaRxopFGAAZMFZvx2k+Q0eUsmhBAFkZNWxfjmPnSt7opKgW1h8bzx81VCr1lXoQgMDGTFihUklWlNg8XxHL1mwttRxU8vGhlR+Qqv9XmJWbNmkZgoq1YIIURhYzAY+HDSOCZ8OJ8eGw28+mMiUYkW6vmrOfiqI339z/Byj65MeH8yt2/ftne4ooiRojuHtFotnTt35qMQa2v28GAtG9b/wK1btxjcyBM3vYqLMaksOHRbJmUQQogCSq1S6FnbjQ9a++Lr5EBkvImx264zY88NbiakYTQamT59Ol0HjaX51yZm7rN2Nx9QX8uxAUau/7aCzp07s2nTJsn1QghRCDVt2pQf16/jRmB7Ks+P4+s/U1GrFIY+puPk6wbczq6lTbv2TJ6zUF6yijwjRXcu9OzZk6//snDtjplAVxW9qlv48MMPcTeoGdHEC5UCW8/F8/2JWHuHKoQQ4j6q+uiZ16EET1ZyRqXA7vAEBvx4la/+iCYh1cILL7zAipWr+fxSGZovi+fsbWve3/CSkU+b3mbRtFH07t2bY8eO2furCCGEyCV3d3emTJnC1LmLefeID22/si4f6e+s4vNOBg71VojauZDHW3dk6MwvOBNxx94hi0JOiu5c8PPzo23HTkz7zdra/UErPcd++5XNmzdTu4SBV+tZx3cvOxrNxr/lL6cQQhRkRq2KAQ08mN2+BJW8tCSlWVh1LIZX1l1h9bEYPP1LsXLlSqo/OYB6S5KZsTeZNLOFTpU0/DXQkT6+Jxj8SneGDx/OyZMn7f11hBBC5FKjRo34/vvvKdemP3U+T2XopiRuJ1qo4atmUw9Hfn06nrRdc+nSuSNPj/6Er36P5OqdVHuHLQohKbpzadCgQXx5SkfIpTRcdApfP2vg/fHvcOjQIZ6q5EznKtZlxD45cJv1J6XFWwghCrpyHlpmtvXjnf95E+iqIS7FzIo/oun7wxUWHo6lQ7eX+fKb71h9uxrVP43nx9OpaNQKbzbSce5NJ5qk7GJg764MGDCA33//XbqdCyFEIaLT6Xj99ddZu34DYT7tKPfxHWbuSyY5zcITZRzY0duRnS8kU+HUEj58/VleGD6dl7/6g2VHozhxPQmTWXK+eDDFUoifDmJjY3F1dSUkJAQnJ6d8u+/69ev5cvZ4Dr7qiKteYcOZVLqvS2Xw0FF06dKFpUdjWH/K2tLdroITr9ZzR+8g7zeEsLW4uDiCg4OJiYnBxcXF3uEUaPbKnwWdyWxhd3g8607e4dztf1akqO6jo3lpIylnQ/j049lU0kbwURs9tf3UACSkWlh8JIWP9qXgVLIyzz//PO3bt8fZ2dleX0WIHJPcmXOSO4u+EydOMGvWLK6ePMioJjperatB76AAEBph4uMDKXxz3ISqbGOc63bEu3xNGgQYqVNCT20/A+4GtZ2/gchPOc2fUnQ/BIvFwrhx47h9dAObehgxaBT+jDTR64dE0ryq0LdvX2JK1OfLP+MACHLVMPJxL8q4a/MtRiGKI3lwzDl5cLw/i8XC8RvJ/HjyDvsvJ3CvIUOjgrq+DqT+8TPb1iyjdUAiYx7XUc/f+pCVZrbw0+k0Fh9JZfdVDa1at+HJJ5+kfv36ODg42PEbCZE9yZ05J7mzeLBYLPz+++989tlnXDx+kBGNtQyor8WosRbfNxPMLDmSyqLDKVzCF8dqT+BY/Qk0bn4EuWqo5aendgk9Vb11OOukCC/KpOi2sbS0NEaMGEHSmZ2s6WLAz0mFyWzh62OpzD2QwhWzNw2at+O0Uy2SPcujUavoVMmFLtVdcJK/fELYhDw45pw8OObc9fg0dl+IZ3tYPBdj/hnLZ0mOQ396I5d/+4HG3nGMeVzHE2X+KawvxZj5IjSV1cdTuZrqTIsWT9CqVSsaNmyIXq+3x1cRIkuSO3NOcmfxExoaysKFCzlxeC+v1NUyqIGW0m7/9GDdHZ7G8j9S+e54KineVTFWaoyxYjAOrr6AtfGtsreOKt46qnjpKOnigKIo9vo6Io9J0Z0P0tLS+Pjjj/n1u2XMaauna3VN+mf7LqWx+nga60+lEmF2RVWiCvqSVXAvXZ2XWtahQ2V3efMlRB6TB8ecs3f+LIwsFgvno1PZdT6eQ1cS0wtwc2oScX9uIe7QD1TU3uTVuhp61tTgafznoezkDRPfn0xj7clUTkZpqF2nDsHBwTRq1IhKlSpJK7iwK8mdOSe5s/g6e/Ys33zzDT9v+IlWgam83kBLq7JqVHcL6IRUC7/8ncb3J1P5+UwaZs9yOJRpiL5MbXQlKqGorXneWauikpeOch5aynloKeuhwddRCvHCSorufLRv3z6mTZuGd8pF3mqko0s1BzTqf/7inLxhYu+lu9tFE39Hq9B6liSwdDnq16hEcK3KVChfnhIlSqDRaO5zJyHE/ciDY84VlPxZmEXEpXLoSiK/X0nkxI1kEpLTSDp/hDt/bsYcdoDOlVV0r6GhdVkHdA7//JtwPd7MtjATW8+nsf18GpHJeqpUqUKNGjWoXr06NWvWpESJEvIAJvKN5M6ck9wpYmNjWbduHd9//z3JN87To6aG3rU0VPH+pzEtOc3CtvNp/PJ3GlvDTITF63AvWwuzf000gTXQeAWhqP453lGroqy7hrLuWkq7awl00RDoqsFRK3NCFXRSdOez1NRUtm7dyldffcX1sGN0q67h6UoONA1So1ZlfHCKTrLw13UTf103p//3xA0zN5MUfH19CQwIoGTJkgTc/a+fnx/e3t54eXnh6Ohop28oRMEnD445V5DyZ1FgMlsIi0rhr8hkjt9I4uSFCC7+voWEU7+hjzpLxwoOPFdFQ5tyDjjrMv6bEBFn5uAVEweumDh4xcShKyZMGifKli1LuXLlKFeuHGXLliUoKAg/Pz90Op2dvqUoqiR35pzkTnGPxWLh+PHjrFu3jl9//ZVyxjieraLh2SoOVPXO2Jv1UoyZrWFpbD2fxq4LJm6k6vEMqoimRCWSPcvj4FsBtbNXppetHgY1Aa6a9CI80NUBf2cNHobM9YWwDym67ej48eNs3ryZHTt2EH3tPE2CHGgSqKZJoJoGJdXpMyD+V1yKhfNRZs5HW7ewKOvvl2PNXIuzcCPeglZvSC/A723u7u64urpm2lxcXHB2dkalkrdkoniQB8ecK6j5syiJTjJx7nYKh05eYO+ubZw7vIekK6doVFKhdVkHWpdVU99fnaFn1D0XY6wvY0/eNHHihvXnsCgzkXEWPDy98Pcvgb+/P/7+/vj5+eHl5YWHhweenp54eHjg4uIiLeUixyR35pzkTpGVlJQU9u/fz9atW9mxYwd+DrF0quRAqzIONC2V+dn/SmzGl62Hr5lIUTvhVqIUWu8gTK6BpLoG4uBeAgdnr/Su6fc4qMDH0QE/Jwd8naz/9XN2wNfRAS9HB1x0qvRu78K2ClXRPX/+fD788EMiIiKoVasW8+bNo2HDhg88rzAkvkuXLnHkyBGOHj3K0aNHuXQhjEpeKqr7qKjuo6a6t/W/ZdyVB/7lMJkt3EiwcO2OhYg4C9fizETEWbiZYOF2YuYtKslCqlnBxcUFJycnjEYjjo6OODo6YjQa07f//q7X69Fqteh0OnQ6XfrP/92n1+vRaDTyYFfEmc1mkpOTSU5OJikpiaSkJJKTk0lMTEzfl5iYSEJCAomJiSQmJpKUlISiKKhUKnQ6He7u7ri5uWX4b1ZFQWJiIrdu3eLmzZvcunUr/WeNRkO/fv0eGKs8OOZcYcifRdHtqBi27NnPnr0hHDtygISbl6njp6ZhSTWNSlr/W84j+xelSWkWLsWYCY+xEB5jJjzazMUYC5HxFiLjzFyPt3A93oJZ5YCzqztOLq44OTnj5OSEs7MTbi4uuLo44+bilP5i1mg0YjAY0Ol06PX6TJvk+aJPcmfOSe4UD5KWlsbRo0fZtWsX+/fvJ/zcaZoEqmlV1oFWZR2o7afCIYtW6nsvW4/fMHH8+j8vW28mKTi5e6Nz90Nx9iFV747i6I7a6Iba8d7mjqJzTM/VDiprK7mn0QFPgxpPo3XzMDjgaVTjplfjqlfhpC04xbnFYiEtLY3U1FRSUlIybKmpqZn2//v3ez/n5tzU1FT+3969B0dVHfAD/967e3ezSUg2JOQFEkABRR4FbFIqCB0iAYWh2jpIaUWlWKlUJYIVq0BxnFQdKBUdGPm1o7Y/BHEGaqVljEFAIA3y+FVQpIRHI3lA3tlsstns3vP742Y3e/PeJJsN2e9n5s69e8+9u2cP4Zt7zn1EVVWoQsDlVuFSBdxu7bVQBcxG4PcbNmDs2LEd1vum6XTv3r0bjzzyCLZv3460tDRs2bIFe/bswYULFxAfH9/hvjdj8NXU1CA/Px/5+fm4ePGid15fW42UaBkjYySMtMoYFSN750mDJCRESN26jKTWqXXAqx0CtU4Bm1NbZ2sQqG2ENm9ab2sQsDcK1DdqB3YOF1DfNNcmoZu7VO0zTCYTjEajbjIYDLp5y/VtbWcwGLwdNVmWu73clXIPz3LLA8qW69vbrivbdvbevsuqqkIIoYVAD5Z9g8sztffad73vsqdz3dDQAAAwGwCLAoQrEixGwKJICFckhCtAhCIh0gREmCREmrRyAUAV2oNFyuqap1K7NlclAyKjrVAUE5zOBjQ4HHDW1yE2XEJipGeSYTIA+4sG47PPPuv85/0mPnD0d/Bxz549ePnll3H16lWMHj0ar732Gu67774uf97NmJ8DUWVlJc6ePeudvjp7DgZnNe6IM2DcEBnjhsje5WFRXf89UFkvcMOuorxeoNoBVDcIVDcIVDm03wfVDdr6KoeAzSlQ15T9dY0C9S5tXteo5bwkyTCazDCaTDAqJhgNRhgVRctxxQijUYHScm40QlG01ybPtgYZBlmGwSDDaDB457453dWps0GAnparqgq3263L1/4yCSHgdru7XHbfffchMzOzw+97M2dnX2N2kr/Ky8tx4sQJ5Obm4sSJE6i4XogpSQakDTMgNVmb+z4NvaVap8DVKhVXKlVcrRYosmlXPZXUCly3a8s37AIuyQjZFA7JHA7JFA7Z3DSZwiEpZkgGBZJBAQxGbdmoQDYoCDMrCDcZEWaUEKbIsBglhBllhBklmAwSzEYJigwYJQGDcEMWbkjCDeF2weVy6Y4nWx5TttVJbquz7FkWQkACYDZqx51mowSzATD5LDfPAbNBairTlvVzNNVf/16ecpMBkCVAggRJ8iwDUtP8yf0OrNvyLiZPntzhv29X8zPoj0vdvHkzli9fjsceewwAsH37duzfvx9/+ctf8MILLwS5dr0vKioKU6ZMwZQpU3Trq6urce3aNRQWFqKwsBCnrl3Dx4WFKDxZiBulpXDU1WJIuISkQVpHJCmyeXlwmITBFs8EDLZIiLFoZ84jmzpBiO797+JStc53g0ugUQUa3SpcqhONagNcKtDo1g7YGlUBl4o213leu1QBt9A6aaoAVNVnWQif5Y6mjrdzC4FGAfgOM3kWPev8fd299xDtvocsAbIkNc3bngxN5UoH28iSBKOsBYrJAChNoWRSfJabwkiRfZYNzftYjBIsigKL0QSLgl4fCa1yCJTaHWhwO5o67zLiwge1Gv2trBd4f3M5VFUdsLdK7N69G5mZmbrBx4yMjHYHH48fP47FixcjKysL8+fPx86dO/HjH/8Yp0+fxvjx44PwDai7YmJicM899+Cee+4BoI30FxcX4/Lly7h06RKOXb6M97++hCtXrqCutgbDoiSkRMtIscpIiZaQYpUxbJCM+AgJCZES4iMkGGXtd0CMped/IcOlap3v+kaBepcbDa46NKqA063ld6MqvMtOt+d3QfOyp8zVKOBWPVnsk8uqlt1u3evm7Vyi7f1U0XG9Ozud0NnZBi1rfXJX1uevUbfOdztJt86zTfM6qXk/Ywdlbe4vtahL55/7f8824kJNjV//5kTUu2JjYzFv3jzMmzcPAFBWVoZz587hq6++wp/OncO5T8/B0FiDcUMMuHOIjDvjZYyLM+COITKSB2nH8ePjDRgf33Gma4OqKqobbKhpqEFN0+BqjVOgvlGgwQ00uIAGt9Dm9drc6dbytSMqALcMyDJgaDqu9Bw/6pcBRZZgMgImM2CO0neETQZ9p7i5A22GyWCGuen9+oMoszYA21uC2ul2Op04deoU1q5d610nyzLS09ORm5vbanvfs26ANto4UHjuw77zzjvbLK+rq0N5eTlKS0tRWlqKsrIy3CgrwzdlZaisrEbFlSpUVVWjpqYGtTXVUF2NiA4DYsIkxIZLiDJr/2kHmSQMMsO7HGkCBpmblyNNEsKM0Ea7fOaWprnvE3iNcvM+FDoa3c1nwjxnxuyNgN2pXTVhbzpAB7SDvgiThLhwCUPCJQyJkBBr0c7WWcMkWMPa/gVSatdundAmFW6XCzU1NbBarX34TfuOv4OPf/rTnzB37lysWbMGAPDKK68gOzsbb731FrZv396ndafeJUmS917t6dOn68pqa2tRVFSE4uJiFBUV4VpxMU4UFeF6wXVUVFSgoqIC9lobYixa5zshQut8R5slRIdJsIbBuxxt1v4PRpu13wnaIBu8V694BtmMsoQoMxBlZs7fjBIj3TjfiweNRNRzcXFxmDVrFmbNmgWgebD10qVLuHTpEj7Pz8f/+X+XcPXqVTjrbRgeLWOkVcLIGBkjrDISmwZZEyNlJERoea8YPMdVAy+rG1yeAQNt7nT7rmseRHC6W6xr2s7phm5/T7nTrQ3giqaBXAFtWUBACOBKpXb1UG8Jaqe7rKwMbrcbCQkJuvUJCQn49ttvW22flZWF3//+931VvX7Fc7/1Lbfc0um2Qgg4HA5UV1d7J7vdDrvdjrq6OtTV1aHWbseNujrvOnu1Hfa6OtjtdXA6nd4BjgZnAxobnHA6G6CqqveSj5YdcqOsjW4Z5aZLUNp9rY2AtXytGLRLOVqere3ojK9/2zWfBfDwnLiVuvm6422kTsrbfo/mMzldObvf/jYCWufY6Yb3bJPTrT8j5WwKLs+ZKs82jU37eDrV9S7fM11Nl5vKMkwmM8xhYTCbzbBYtHtCLRaLdn9oWJj2vYSK+rJ6VFZWoqqqCpWVlXDU1yPG0twJNxngff/SOu0SKYNiRlxcHGJjYxEXF4efPhTbq6ON/Ym/g48AkJub2+py0YyMDOzbt6/dzxnIg5ahIjIyEmPGjMGYMWPa3cbhcKCyshLl5eWoqKhAdXU1amtrUVtbi+9sNnxjs6G2tha28qa5zYa6ujrd8xkA7WxEuKLle7jSfDuJyQDd2Y3m11LTGQ79VTOe10bfM7Ytzhq3e/a2nXJDJxe8SLqEbaO8k2NSLYtFi7PxaHE2XujX6c7eizbW+W4nWp3R15/lb//Mv7/7FtoExk13d/yFiSiofAdbZ8yY4V0vhEBNTY33KtiioiKcLSzE52VlKL+mZXxZWRnstTYMtmgnODyDpNFh2gm3KLOEaLOW4a0ut/a5HLsrFzO6VdH2lU6q/pjTU6bvEPucYW+3A93cKfZ0oJ1uTxvJMCoKFMUExaTNTSYTTCYFZpMJZrMJZpO2TlGU5rlFv84zRSgKrIrivV2prel2ScKIESN67d856JeX+2Pt2rW6A82ampoudUJDjSRJ3g5QYmJir72v594Mz8G777LnPg632w232+197VnX8rXvukaXC/Uul+5+5B7d2+xuvq+tZbnb3Xzw0XL0yvO6vXlb+/m7T1vlvsvduVe9vX2MZu2+ee2+Sm3yvA5XFET7vG5ZbjQadQ9VavmAJaPR2O0HK9XXa53wyspKVFRUwO12e98/JibG+6fxQuXBTf4OPgJASUlJm9uXlJS0+zmhPGgZSsLCwpCUlISkpKRu7S+EgNPp9HbAfTvjDQ0NrZ4H0fLZEJ65o7ERtT7l7d2D7J3cXb+n2TfH2/sOPSGE8Psec9/sNRgMba7rapmxg7KW6zoq83xGZ8/HIaL+SZIk75Ww48aNa3c7h8OBiooKVFZWwm63w2azwW63ewdcr9XWeo/bvQ8Rq9c/WKwrZFnWHSf6LisWpVWZp7Mb3aLD27IDrOskt1jvWWc03lRd1jYF9RvExcXBYDDg+vXruvXXr19vs7PoeXI2BYfnP1F4eHiwq0I3Mc+AUHJycrCrElI4aEldIUmS93dtdHR0sKtDRESdCAsL854pp/4rqE8lMplMmDp1KnJycrzrVFVFTk4Opk2bFsSaERH1DX8HHwEgMTHRr+0BbdAyKipKNxERERFR4AX9UcCZmZnYsWMH3nvvPZw/fx4rVqyA3W73PlCIiGgg687g47Rp03TbA0B2djYHK4mIiIj6oaBfIL9o0SKUlpZi3bp1KCkpwfe+9z0cOHCg1f2KREQDVWZmJpYuXYq77roLqamp2LJli27w8ZFHHsHQoUORlZUFAHjmmWcwc+ZMbNq0Cffffz927dqFkydP4p133gnm1yAiIiKiNgS90w0AK1euxMqVK4NdDSKioOhs8LGgoED3N8p/+MMfYufOnXjppZfw4osvYvTo0di3bx//RjcRERFRP9QvOt1ERKGuo8HHQ4cOtVr30EMP4aGHHgpwrYiIiIiop27qTrfnz4LY7fYg14SI+gNPFvT0TwaFAuYnEXkwO7uO2UlEvrqanzd1p9tmswEA0tPTg1wTIupPbDYb/9xRJ5ifRNQSs7NzzE4iaktn+SmJm3hYU1VVFBUVYdCgQZAkqdPtPX+X9rvvvgvpP5fDdtCwHQZeGwghYLPZkJycrLsHmlpjfvqPbaBhO2gGUjswO7uO2dk9bAcN20EzkNqhq/l5U5/plmUZw4YN83s//o1aDdtBw3YYWG3AszRdw/zsPraBhu2gGSjtwOzsGmZnz7AdNGwHzUBph67kJ4cziYiIiIiIiAKEnW4iIiIiIiKiAAmpTrfZbMb69ethNpuDXZWgYjto2A5sA+o6/qywDTzYDhq2A3UFf040bAcN20ETiu1wUz9IjYiIiIiIiKg/C6kz3URERERERER9iZ1uIiIiIiIiogBhp5uIiIiIiIgoQNjpJiIiIiIiIgqQkOl0v/322xgxYgTCwsKQlpaGEydOBLtKAbVhwwZIkqSbbr/9dm+5w+HAU089hdjYWERGRuInP/kJrl+/HsQa944jR45gwYIFSE5OhiRJ2Ldvn65cCIF169YhKSkJFosF6enpuHjxom6biooKLFmyBFFRUbBarVi2bBlqa2v78Fv0XGft8Oijj7b6+Zg7d65um4HQDtQ7mJ/MTyA08pPZSb0tlPKT2Rm62QkwPzsTEp3u3bt3IzMzE+vXr8fp06cxadIkZGRk4MaNG8GuWkDdeeedKC4u9k5Hjx71lq1atQr/+Mc/sGfPHhw+fBhFRUV48MEHg1jb3mG32zFp0iS8/fbbbZa//vrrePPNN7F9+3bk5eUhIiICGRkZcDgc3m2WLFmCr7/+GtnZ2fjkk09w5MgRPPHEE331FXpFZ+0AAHPnztX9fHzwwQe68oHQDtRzzE/mp0co5Cezk3pTKOYns7O1UMhOgPnZKRECUlNTxVNPPeV97Xa7RXJyssjKygpirQJr/fr1YtKkSW2WVVVVCUVRxJ49e7zrzp8/LwCI3NzcPqph4AEQe/fu9b5WVVUkJiaKN954w7uuqqpKmM1m8cEHHwghhPjmm28EAPHll196t/nXv/4lJEkShYWFfVb33tSyHYQQYunSpWLhwoXt7jMQ24G6h/mpx/wMnfxkdlJPhVp+MjuZnR7Mz9YG/Jlup9OJU6dOIT093btOlmWkp6cjNzc3iDULvIsXLyI5ORmjRo3CkiVLUFBQAAA4deoUGhsbdW1y++23Y/jw4QO6Ta5cuYKSkhLd946OjkZaWpr3e+fm5sJqteKuu+7ybpOeng5ZlpGXl9fndQ6kQ4cOIT4+HmPHjsWKFStQXl7uLQuldqD2MT+Znx7Mz2bMTuqKUM1PZqces1MvlPNzwHe6y8rK4Ha7kZCQoFufkJCAkpKSINUq8NLS0vDuu+/iwIED2LZtG65cuYIZM2bAZrOhpKQEJpMJVqtVt89AbxPPd+voZ6GkpATx8fG6cqPRiMGDBw+otpk7dy7ef/995OTk4LXXXsPhw4cxb948uN1uAKHTDtQx5ifz04P5qWF2UleFYn4yO1tjdjYL9fw0BrsCFBjz5s3zLk+cOBFpaWlISUnBhx9+CIvFEsSaUX/w8MMPe5cnTJiAiRMn4tZbb8WhQ4cwe/bsINaMKPiYn9QeZidR+5id1JFQz88Bf6Y7Li4OBoOh1dMRr1+/jsTExCDVqu9ZrVaMGTMG+fn5SExMhNPpRFVVlW6bgd4mnu/W0c9CYmJiqwecuFwuVFRUDOi2GTVqFOLi4pCfnw8gdNuB9JifGuYn87M9zE5qD/OT2QkwOzsSavk54DvdJpMJU6dORU5OjnedqqrIycnBtGnTglizvlVbW4tLly4hKSkJU6dOhaIouja5cOECCgoKBnSbjBw5EomJibrvXVNTg7y8PO/3njZtGqqqqnDq1CnvNgcPHoSqqkhLS+vzOveVa9euoby8HElJSQBCtx1Ij/mpYX4yP9vD7KT2MD+ZnQCzsyMhl5/BfpJbX9i1a5cwm83i3XffFd9884144oknhNVqFSUlJcGuWsA899xz4tChQ+LKlSvi2LFjIj09XcTFxYkbN24IIYR48sknxfDhw8XBgwfFyZMnxbRp08S0adOCXOues9ls4syZM+LMmTMCgNi8ebM4c+aM+N///ieEEOIPf/iDsFqt4u9//7v46quvxMKFC8XIkSNFfX299z3mzp0rJk+eLPLy8sTRo0fF6NGjxeLFi4P1lbqlo3aw2Wxi9erVIjc3V1y5ckV89tlnYsqUKWL06NHC4XB432MgtAP1HPOT+RlK+cnspN4UavnJ7Azd7BSC+dmZkOh0CyHE1q1bxfDhw4XJZBKpqani3//+d7CrFFCLFi0SSUlJwmQyiaFDh4pFixaJ/Px8b3l9fb349a9/LWJiYkR4eLh44IEHRHFxcRBr3Ds+//xzAaDVtHTpUiGE9qcbXn75ZZGQkCDMZrOYPXu2uHDhgu49ysvLxeLFi0VkZKSIiooSjz32mLDZbEH4Nt3XUTvU1dWJOXPmiCFDhghFUURKSopYvnx5q4OAgdAO1DuYn8xPIUIjP5md1NtCKT+ZnaGbnUIwPzsjCSFEYM+lExEREREREYWmAX9PNxEREREREVGwsNNNREREREREFCDsdBMREREREREFCDvdRERERERERAHCTjcRERERERFRgLDTTURERERERBQg7HQTERERERERBQg73UREREREREQBwk43ERERERERUYCw001EREREREQUIOx0UyuzZs3Cs88+G+xqBEVvfffy8nLEx8fj6tWrrcoaGhqwcuVK/OY3v0FDQ0Or8ocffhibNm3qcR2IqO8xP5/t8fswP4lCD7Pz2R6/D7Ozf2OnOwQ9+uijkCQJkiTBZDLhtttuw8aNG+FyuYJdtQHj1VdfxcKFCzFixIhWZTt37kR6ejruvfde/PWvf21V/tJLL+HVV19FdXV1H9SUiPzB/Aw85ifRwMPsDDxmZ//GTneImjt3LoqLi3Hx4kU899xz2LBhA954441gV2tAqKurw5///GcsW7aszXJVVaGqKgBACNGqfPz48bj11lvxt7/9LaD1JKLuYX4GDvOTaOBidgYOs7P/Y6c7RJnNZiQmJiIlJQUrVqxAeno6Pv74Y2+5qqp4/vnnMXjwYCQmJmLDhg26/Q8cOIDp06fDarUiNjYW8+fPx6VLl7zlH330ESZMmACLxYLY2Fikp6fDbrd73zsrKwsjR46ExWLBpEmT8NFHH3VY384+D9Auz3n66ac7rLfNZsOSJUsQERGBpKQk/PGPf+zwsp7u1PWf//wnzGYzfvCDH7RZvmTJEhw8eBDZ2dn4xS9+0eY2CxYswK5duzr8HCIKDuYn85OI/MfsZHaGMna6CQBgsVjgdDq9r9977z1EREQgLy8Pr7/+OjZu3Ijs7Gxvud1uR2ZmJk6ePImcnBzIsowHHngAqqqiuLgYixcvxuOPP47z58/j0KFDePDBB70ja1lZWXj//fexfft2fP3111i1ahV+/vOf4/Dhw+3Wr6PP89VZvTMzM3Hs2DF8/PHHyM7OxhdffIHTp0+3+7ndqesXX3yBqVOntlseFhaGt956C1u3bkVYWFib26SmpuLEiRNt3ndDRP0L87NtzE8i6gizs23MzgFKUMhZunSpWLhwoRBCCFVVRXZ2tjCbzWL16tVCCCFmzpwppk+frtvn+9//vvjtb3/b7nuWlpYKAOLs2bPi1KlTAoC4evVqq+0cDocIDw8Xx48f161ftmyZWLx4cZe/g+/neXRW75qaGqEoitizZ4+3vKqqSoSHh4tnnnnG+x6e5e7WdeHCheLxxx/v8ndpy3/+859225CIgof5yfwkIv8xO5mdoc4YnK4+Bdsnn3yCyMhINDY2QlVV/OxnP9NdDjNx4kTd9klJSbhx44b39cWLF7Fu3Trk5eWhrKzMO+pXUFCAjIwMzJ49GxMmTEBGRgbmzJmDn/70p4iJiUF+fj7q6upw77336t7f6XRi8uTJ7da3o88bP358l+p9+fJlNDY2IjU11VseHR2NsWPHtvmZ3a1rfX19u6OIXWWxWABo9+gQUf/C/NQwP4nIH8xODbMzNLHTHaJ+9KMfYdu2bTCZTEhOTobRqP9RUBRF91qSJN3lNAsWLEBKSgp27NiB5ORkqKqK8ePHw+l0wmAwIDs7G8ePH8enn36KrVu34ne/+x3y8vJQW1sLANi/fz+GDh2q+wyz2dxufTv6PH/q7Y/u1jUuLg6VlZXd+kyPiooKAMCQIUN69D5E1PuYn51jfhJRS8zOzjE7By52ukNUREQEbrvttm7tW15ejgsXLmDHjh2YMWMGAODo0aO6bSRJwt133427774b69atQ0pKCvbu3Yvly5fDbDajoKAAM2fO7LXP64pRo0ZBURR8+eWXGD58OACguroa//3vf3HPPfe02n7cuHF+1xUAJk+e3OOnP547dw7Dhg1DXFxcj96HiHof85P5SUT+Y3YyO0MZO93kt5iYGMTGxuKdd95BUlISCgoK8MILL3jL8/LykJOTgzlz5iA+Ph55eXkoLS3FHXfcgUGDBmH16tVYtWoVVFXF9OnTUV1djWPHjiEqKgpLly71+/O6atCgQVi6dCnWrFmDwYMHIz4+HuvXr4csy5Akqc3t/a0rAGRkZGDt2rWorKxETEyM3/UEtAdizJkzp1v7ElH/xfxkfhKR/5idzM6bHTvd5DdZlrFr1y48/fTTGD9+PMaOHYs333wTs2bNAgBERUXhyJEj2LJlC2pqapCSkoJNmzZh3rx5AIBXXnkFQ4YMQVZWFi5fvgyr1YopU6bgxRdf7Nbn+WPz5s148sknMX/+fERFReH555/Hd9991+59MP7WFQAmTJiAKVOm4MMPP8SvfvUrv+vocDiwb98+HDhwwO99iah/Y34yP4nIf8xOZufNThKijb+QThQi7HY7hg4dik2bNmHZsmW99r779+/HmjVrcO7cOciyf3+Zb9u2bdi7dy8+/fTTXqsPEVFvY34SEfmP2RmaeKabQsqZM2fw7bffIjU1FdXV1di4cSMAYOHChb36Offffz8uXryIwsJC3HLLLX7tqygKtm7d2qv1ISLqKeYnEZH/mJ0E8Ew3hZgzZ87gl7/8JS5cuACTyYSpU6di8+bNmDBhQrCrRkTUrzE/iYj8x+wkgJ1uIiIiIiIiooDx74J/IiIiIiIiIuoydrqJiIiIiIiIAoSdbiIiIiIiIqIAYaebiIiIiIiIKEDY6SYiIiIiIiIKEHa6iYiIiIiIiAKEnW4iIiIiIiKiAGGnm4iIiIiIiChA2OkmIiIiIiIiChB2uomIiIiIiIgC5P8DaOv/wPqK4oAAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Calculating the phase function with IMIE = 0 (double H-G function)\n", "######################################################################################\n", "\n", "Scatter.IMIE = 0\n", "\n", "#Initialising arrays again\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Calling Makephase\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "phase_hg = Scatter.calc_phase(Scatter.THETA,Scatter.WAVE)\n", "\n", "\n", "#Calculating the phase function with IMIE = 2 (Legendre polynomials)\n", "######################################################################################\n", "\n", "Scatter.IMIE = 2\n", "\n", "NLPOL = 100 #100 Legendre polynomials\n", "\n", "#Initialising arrays again\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA,NLPOL)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Calling Makephase\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "phase_lp = Scatter.calc_phase(Scatter.THETA,Scatter.WAVE)\n", "\n", "\n", "\n", "\n", "#Making summary plot\n", "########################################################################################\n", "\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(10,3))\n", "\n", "iwave = 0\n", "ax1.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0 (Double H-G)')\n", "ax1.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1 (Explicit)',c='black',linewidth=3.)\n", "ax1.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2 (Legendre pol.)')\n", "ax1.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax1.set_facecolor('lightgray')\n", "\n", "iwave = int(Scatter.NWAVE/2)\n", "ax2.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0')\n", "ax2.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1',c='black',linewidth=3.)\n", "ax2.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2')\n", "ax2.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax2.set_facecolor('lightgray')\n", "\n", "iwave = Scatter.NWAVE - 1\n", "ax3.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0')\n", "ax3.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1',c='black',linewidth=3.)\n", "ax3.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2')\n", "ax3.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax3.set_facecolor('lightgray')\n", "\n", "ax1.legend()\n", "\n", "ax1.set_xlabel('Phase angle ($^\\circ$)')\n", "ax2.set_xlabel('Phase angle ($^\\circ$)')\n", "ax3.set_xlabel('Phase angle ($^\\circ$)')\n", "\n", "ax1.set_ylabel('Phase function')\n", "ax2.set_ylabel('Phase function')\n", "ax3.set_ylabel('Phase function')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "24241b08-3029-453b-80b3-5bedbfa926a4", "metadata": {}, "source": [ "## 3. Calculating the optical properties for a log-normal distribution\n", "\n", "In this case, we use the *Makephase* programme to calculate the optical properties for Mars mineral dust following a log-normal distribution with $r_{\\mathrm{eff}}$ = 1.5 and $\\nu_{\\mathrm{eff}}$ = 0.2. In archNEMESIS, the log-normal distribution is defined following\n", "\n", "\\begin{equation}\n", "n(r) = \\dfrac{1}{\\sigma_g r \\sqrt{2\\pi}} \\exp \\left( \\dfrac{-(\\ln{r} - \\ln{r_g})^2}{2 \\sigma_g^2} \\right),\n", "\\end{equation}\n", "\n", "where $r_g$ is the median of the distribution and $\\sigma_g$ is the standard deviation. The mean of the distribution is related to the median by $\\mu$ = $\\ln{r_g}$, or similarly, $r_g$ = e$^\\mu$. Simiarly, we can relate these parameters to the effective radius and variance following the description in [Hansen and Travis (1974)](https://www.doi.org/10.1007/BF00168069) given by\n", "\n", "\\begin{equation}\n", "r_g = r_{\\mathrm{eff}}/(1+\\nu_{\\mathrm{eff}})^{5/2},\n", "\\end{equation}\n", "\n", "\\begin{equation}\n", "\\sigma_g^2 = \\ln{(1+\\nu_{\\mathrm{eff}})}.\n", "\\end{equation}\n", "\n", "In this case, we are going to set *IMIE* to zero, so that we store the parameters defining the phase function as a double Henyey-Greenstein function." ] }, { "cell_type": "markdown", "id": "7b594fe8-8ada-4ecb-a78a-d81f8cf23f09", "metadata": {}, "source": [ "### Visualising the distribution" ] }, { "cell_type": "code", "execution_count": 7, "id": "cfd9508b-bebf-4623-9344-dc461191a6f2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Calculating modified gamma distribution\n", "reff = 1.5 ; veff = 0.2\n", "r_g = reff/(1.+veff)**(5./2.)\n", "sigma_g = np.sqrt(np.log(1.0+veff))\n", "\n", "r = np.arange(1.0e-1,1.0e1+1.0e-3,1.0e-3)\n", "nr = 1./(sigma_g*r*np.sqrt(2.*np.pi)) * np.exp(-(np.log(r)-np.log(r_g))**2. / (2.*sigma_g**2.) )\n", "\n", "#Making summary plot\n", "fig,(ax1,ax2) = plt.subplots(1,2,figsize=(6,3),sharey=True)\n", "ax1.plot(r,nr)\n", "ax2.plot(r,nr)\n", "ax2.set_xscale('log')\n", "ax1.set_xlabel('r ($\\mu$m)')\n", "ax2.set_xlabel('r ($\\mu$m)')\n", "ax1.set_ylabel('n(r)')\n", "ax1.set_facecolor('lightgray')\n", "ax2.set_facecolor('lightgray')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "a6d53c66-70a8-4374-a0c4-013783ebb784", "metadata": {}, "source": [ "### Running Makephase" ] }, { "cell_type": "code", "execution_count": 8, "id": "c5aa1734-7b57-4450-8b16-a4ee97674b44", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000179599072522\n", "Maximum integral of phase function is 1.0078703107462472\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000824151699763\n", "Maximum integral of phase function is 1.000688326241077\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 0 #Phase function defined using a double Henyey Greenstein function\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NWAVE = 121 #Number of spectral points\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "wavel = np.linspace(0.5,5.,NWAVE)\n", "theta = np.linspace(0.,180.,NTHETA)\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Reading the refractive index from the dictionary (Mars mineral dust)\n", "Scatter.read_refind(1)\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 2 #Log-normal distribution\n", "reff = 1.5 ; veff = 0.2\n", "r_g = reff/(1.+veff)**(5./2.)\n", "sigma_g = np.sqrt(np.log(1.0+veff))\n", "pars = np.array([r_g,sigma_g]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Making a summary plot\n", "#################################################################################################\n", "\n", "#Plotting the extinction coefficient and single scattering albedo and the double HG parameters\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(12,3))\n", "\n", "ax1.plot(Scatter.WAVE,Scatter.KEXT[:,idust])\n", "ax1.grid()\n", "ax1.set_ylabel('Extinction coefficient (cm$^2$)')\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_facecolor('lightgray')\n", "\n", "ax2.plot(Scatter.WAVE,Scatter.SGLALB[:,idust])\n", "ax2.grid()\n", "ax2.set_ylabel('Single scattering albedo')\n", "ax2.set_xlabel('Wavelength ($\\mu$m)')\n", "ax2.set_facecolor('lightgray')\n", "\n", "\n", "ax3.plot(Scatter.WAVE,Scatter.G1[:,idust],label='g$_1$')\n", "ax3.plot(Scatter.WAVE,Scatter.G2[:,idust],label='g$_2$')\n", "ax3.plot(Scatter.WAVE,Scatter.F[:,idust],label='F')\n", "ax3.grid()\n", "ax3.legend(loc='lower left')\n", "ax3.set_ylabel('Henyey-Greenstein parameters')\n", "ax3.set_xlabel('Wavelength ($\\mu$m)')\n", "ax3.set_facecolor('lightgray')\n", "\n", "plt.tight_layout()\n", "\n", "#Calculating the actual phase function from our double HG parameterisation\n", "##################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase_hg = Scatter.calc_phase(theta,Scatter.WAVE)\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase_hg[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase_hg[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase_hg[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "Scatter.check_phase_norm()\n" ] }, { "cell_type": "markdown", "id": "40127d92-134e-4abb-9dfc-d59ce27feae6", "metadata": {}, "source": [ "### Checking the accuracy of the choice of IMIE\n", "\n", "As mentioned in the introduction, what *Makephase* calculates is the phase function at a given set of specified angles. When we select *IMIE* = 0 or 2 in the Scatter class, the program will fit the calculated phase function with a double Henyey-Greenstein function or a combination of Legendre polynomials. However, it is recommended to check the validity of these approximations since we may find cases in which our phase function cannot be accurately reproduced by a double Henyey-Greenstein function for example. \n", "\n", "In this section, we are going to check how the phase functions computed with the three choice of *IMIE* compare." ] }, { "cell_type": "code", "execution_count": 9, "id": "9f9e20f6-9802-4dea-949d-e15b2c74873e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000179599072522\n", "Maximum integral of phase function is 1.0078703107462472\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000179599072522\n", "Maximum integral of phase function is 1.0078703107462472\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Calculating the phase function with IMIE = 1 (explicit)\n", "######################################################################################\n", "\n", "Scatter.IMIE = 1\n", "\n", "#Initialising arrays again\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Calling Makephase\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "phase_explicit = Scatter.calc_phase(Scatter.THETA,Scatter.WAVE)\n", "\n", "\n", "#Calculating the phase function with IMIE = 2 (Legendre polynomials)\n", "######################################################################################\n", "\n", "Scatter.IMIE = 2\n", "\n", "NLPOL = 100 #100 Legendre polynomials\n", "\n", "#Initialising arrays again\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA,NLPOL)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Calling Makephase\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "phase_lp = Scatter.calc_phase(Scatter.THETA,Scatter.WAVE)\n", "\n", "\n", "\n", "\n", "#Making summary plot\n", "########################################################################################\n", "\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(10,3))\n", "\n", "iwave = 0\n", "ax1.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0 (Double H-G)')\n", "ax1.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1 (Explicit)',c='black',linewidth=3.)\n", "ax1.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2 (Legendre pol.)')\n", "ax1.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax1.set_facecolor('lightgray')\n", "\n", "iwave = int(Scatter.NWAVE/2)\n", "ax2.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0')\n", "ax2.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1',c='black',linewidth=3.)\n", "ax2.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2')\n", "ax2.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax2.set_facecolor('lightgray')\n", "\n", "iwave = Scatter.NWAVE - 1\n", "ax3.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0')\n", "ax3.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1',c='black',linewidth=3.)\n", "ax3.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2')\n", "ax3.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax3.set_facecolor('lightgray')\n", "\n", "ax1.legend()\n", "\n", "ax1.set_xlabel('Phase angle ($^\\circ$)')\n", "ax2.set_xlabel('Phase angle ($^\\circ$)')\n", "ax3.set_xlabel('Phase angle ($^\\circ$)')\n", "\n", "ax1.set_ylabel('Phase function')\n", "ax2.set_ylabel('Phase function')\n", "ax3.set_ylabel('Phase function')\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "a476ec02-6d97-479a-b174-8dc7438a84a7", "metadata": {}, "source": [ "## 4. Calculating the optical properties for a Modified gamma distribution\n", "\n", "The modified gamma distribution is defined in archNEMESIS as \n", "\n", "\\begin{equation}\n", "n(r) = r^a \\cdot \\mathrm{e}^{-b\\cdot r^c},\n", "\\end{equation}\n", "\n", "where $a$, $b$ and $c$ are the input parameters in our distribution. For our example, we are going to choose values of $a$ = 2, $b$ = 8 $\\times$ 10$^{-3}$ and $c$ = 6. The wavelength range of the calculation is going to be from 5 to 10 $\\mu$m, and we are going to use the refractive index of a solution of sulfuric acid and water (i.e., refractive index #4 in the dictionary). We are going to select *IMIE* = 2 so that the output of *Makephase* into the Scatter class is given as the weights of the 100 Legendre polynomials we want to use to fit the phase function." ] }, { "cell_type": "markdown", "id": "3310c3dc-f6e4-4123-98f2-f5dfbc3074f3", "metadata": {}, "source": [ "### Visualising the particle size distribution\n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "5ec0bd68-3077-49c4-ac46-2a3e27d02668", "metadata": {}, "outputs": [ { "data": { "image/png": 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SR5sngLrW4AffwW6J0lWyWSq14AdhNTBg0pgr7X4IImA26MJZooFItXQuQQ1wCSoRkWLONgWzSzlJcbCaB1/wLbGF3hOYYVIHAyaN6drhezCdYZNMwSWoQDBoIiIiZURrw92rMcOkLgZMGmNvHfiWKF0Z9Dokm6XWAvw0QkSkFLkCJpuZGSY1MWDSmHrX4Au+JaxjIiJS3pnQCrnCKK6QA4BkqV0MZw1UwYBJYwaz6e7V2FqAiEhZLe4ArrgC0AG4MYor5ACEZw2YYVIHAyaNidaUHMDWAkRESpOm40bajEgwRvctVpo16PCJ8AW4mEdpDJg0hlNyRESx60xjcDoumv2XJIlGHaT92B3MMimOAZOGtHuF8Iq2aE7JcXsUIiJlSBmmcVEu+AYAnU4XXinn5MyB4hgwaYg9lF1KNuujksrlBrxERMoRRbEzwxTlgm9JMnsxqYYBk4ZEs34J6DIlx32HiIhk19AeQItbgF4H3JA68J0arkdqLcDaVOUxYNKQ+ijsIdeVzcx9h4iIlCJNxxWkGGGOk+ft1cb95FTDgElD7FFsKQB0Td3ykwgRkdxOh6bjxsk0HQd0thZgLyblMWDSkGhnmKTiwA6/CC+XoBIRyUquDt9ddW6PwgyT0hgwaYi9zQcgegFTolHXZT85XlxERHIRRBFnlcgwceZANQyYNEIQRVx2BYOaaAVMwSWovLiIiOR2yemHyyfCbNBhVIo8Bd9AZ20qM0zKY8CkEc0dAXgDIvQ6ICMxOgETgC49O3hxERHJRWoncEOaCXFSal8G/BCsHgZMGiHVL2UmGKJ6sUkXV6uXFxcRkVxOK1C/BHR+CG7jPV1xDJg0Ipqb7nYl7W7NrrBERPJRouAbAJKkD8GeAESRi3mUxIBJI6LdUkDC3a2JiOTlF0Sca5a2RJGv4BsArKbgPd0nAB6uflYUAyaN6GwpEN1iQRvnu4mIZFXV4oM3ICLRpEeeNbofeq9midNB6onZyvu6ohgwaYR8GSZ2hSUikpNU8F2YZoJOJ1/BNxBc/Ww1Be/rrE1VFgMmjYh200oJV1QQEclLqYJviTV0X2/jfV1RDJg0wBcQ0dAezACx6JuIKLacbgg1rMyQt35JkmSSVj9z5kBJDJg04LLLDxGA2aBDiiW6p4RF30RE8nH7BVQ7grs0KJ1hYg2TshgwaUDX+qVoz3931jDxwiIiirZzTV4IIpAWb0BGgrwF3xJppRwDJmUxYNIAueqXgM5PIp6ACLefFxcRUTQpXb8EdOnFxKJvRakaMO3fvx9333038vLyoNPpsH379use/95770Gn013zsNvtygxYJnKtkAOA+C5LUJllIiKKrs+vBOuXxitUvwR06fbNe7qiVA2YXC4XioqK8OKLL0b0ulOnTqGuri78yMrKkmmEyghnmGTo3xHcgJf7yRERyeHzUMH3TQoGTCz6VocyE669WLBgARYsWBDx67KyspCSkhL9AalEyjDlRHHT3a6SzXo0dQSYYSIiiqIGlx8N7QHodcC4DOWm5Fj0rY6YrGEqLi5Gbm4uvvKVr+DDDz+87rEejwdOp7PbQ2vk2kdOEm4twIuLKCKxcP8g9UjZpTEpJljilHs7DRd9s4ZJUTEVMOXm5mL9+vX461//ir/+9a/Iz8/H3LlzcfTo0V5fU1ZWBpvNFn7k5+crOOK+tXmF8K7TcgVMti6bNRJR/2n9/kHq+ixUv3RTpnLZJaDLlBw/BCsqpgKm8ePH4wc/+AGmT5+O2bNnY8OGDZg9ezaee+65Xl+zevVqOByO8KOmpkbBEfdNyi7ZzHrEG+U5Hez2TTQwWr9/kLrUqF8CAKtU9M0Mk6JUrWGKhpKSEhw4cKDX75vNZpjNyv7PHAk5C74l3E+OaGC0fv8g9fgCIr5oCrYUuClT6YAp+CHYGxDh8QswKzgdOJzF/H/liooK5Obmqj2MAbO3BTvEZstU8A0ww0REFG1nm7zwC0CKRS9LD73riY/TwRDqccw6JuWommFqa2vD2bNnw1+fP38eFRUVSEtLw6hRo7B69WrU1tbiT3/6EwDg+eefx5gxYzBp0iS43W68+uqr2Lt3L9599121/oRBUzLD5GDAREQUFVL/pZsyzFHfoaEvOp0OVrMeLW4BbR4BGQmK/vphS9WA6fDhw7jjjjvCX69atQoAsGTJEmzatAl1dXWorq4Of9/r9eLHP/4xamtrkZCQgKlTp2L37t3dfkasCTetlDPDFNqfjn2YiIii4zOpfknh6ThJkikYMHHmQDmqBkxz586FKIq9fn/Tpk3dvn7iiSfwxBNPyDwqZcndUgDgfnJERNEkimK3DJMagoXffhZ+Kyjma5himSCK4QxTrtUo2+/prGEKXDdAJSKivl1pD6CpIwCDDhir4B5yXXW2FuDMgVIYMKmoqT0AvwAYdEBGgkG23yOtqPALQIefARMR0WBI/ZfGpCrbsLIrKzfgVRwDJhVJ2aWsxDgY9PIVDVri9DCHllSwtQAR0eCcvOwGAEzKUq/lhNTtm1NyymHApCK7AivkJOFpOTcvLiKiwai8HMwwTcqyqDYG7ienPAZMKlJihZyEhd9ERIPn9ARQ1RLsn6duhil4T2fApJxBvVP7fD7Y7Xa0t7cjMzMTaWlp0RrXsKBEDyaJ1FqABYJERAN3MpRdyrcZYbPIV3val6Qui3lIGRFnmFpbW/HSSy9hzpw5SE5OxujRozFhwgRkZmaioKAAy5YtwyeffCLHWIec8JScAl1i2e2biGjwKjVQvwSwhkkNEQVMzz77LEaPHo2NGzdi3rx52L59OyoqKnD69GmUl5dj7dq18Pv9uPPOO/HVr34VZ86ckWvcQ4K9VcmAifvJEREN1on6YIZpsor1S0BnDRMDJuVE9E79ySefYP/+/Zg0aVKP3y8pKcFDDz2E9evXY+PGjfjggw9QWFgYlYEONW6/gOZQ520lM0zcHoWIaGDafQK+aA5uuMsM0/AT0Tv1n//8534dZzab8cMf/nBAAxoupPqlRJMeSWb558GtLPomIhqUz654IIhAdqIBmQos1rke6X3D7RfhC4gwGpTdz244GtAqOZ/Ph7i4OFRWVkZ7PMOGkvVLQNe2ApySIyIaiHD/pWx1p+MAIMGog9S+j1kmZQwoYDIajRg1ahQCAb75DpRqARMzTEREAyL1X5qs8nQcAOh1OiQaufpZSQPuw/Szn/0MP/3pT9HU1BTN8QwbShZ8A0CyhUXfREQD5fYLONWgfsPKrpK4PYqiBvxu/fvf/x5nz55FXl4eCgoKkJiY2O37R48eHfTghjKphilb4QxTq0eAKIrQ6TjfTUTUX59d8cAvAOkJBuQp0DuvP6wmPeoAtHHmQBEDPuuLFi2K4jCGH+Wn5IIZpoAItPtEJJoYMBER9den9mD9UnGORTMfOLkBr7IG/G69du3aaI5jWBFFUdEu3wBgMugQH6dDh1+E0xNAoom74hAR9VdFXTBgKsrRxnQcACSZuJ+ckiJ61xRFUa5xDCstbgGegAi9DshMUC61a2XhNxFRxFo9AXzRFOy/pKWASWoX0+ZlbaoSIgqYJk2ahC1btsDr9V73uDNnzuCRRx7Bv/3bvw1qcEOVvS24cWNGgkHR3hnhbt9sLUBE1G/H6z0QEdw/Ll3BD7l9kZpXckpOGRGd+RdeeAH/+q//in/+53/GV77yFcyYMQN5eXmwWCxobm7GyZMnceDAAZw4cQIrVqzAI488Ite4Y5rSK+QkbC1ARBS5T+0dALSVXQK6rJLjPV0REb1jf/nLX8bhw4dx4MABbN26Ff/zP/+DqqoqdHR0ICMjA9OmTcPixYvxne98B6mpqXKNOeZ1FnwbFf29UoaJ26MQEfWfVPCttYCJ26Moa0Apjttuuw233XZbtMcybChd8C1JtkgZJk7JERH1R4PLj4tOP/Q6YIoGOnx3FQ6Y+CFYEYN6x96zZw/27NmDy5cvQxC6n7ANGzYMamBDmV3hHkwSTskREUVGyi6NTTOFV6VphbSfHGuYlDHgd+ynnnoKTz/9NGbMmIHc3FzN9KWIBZdUq2EKXVzMMBER9cvRumD9UnGutrJLAIu+lTbgd+z169dj06ZN+N73vhfN8Qx5br+Apo5gwKJ0t1hmmIiI+i8giDh6KZhhmp4Xr/JoriUVfbu8AgKCCIOeiQs5DTi/6PV6MXv27GiOZVioC2WXrCZ9uIeGUsJtBRgwERH16XSjF61eAYkmPW7KUH/D3at1nSJ0+Xhfl9uAA6alS5di8+bN0RzLsHCpNdiDKS9Z+V4e4QwT+zAREfXpyKXgdNzNuRZNZm/i9DrEG4PjYmsB+Q34XdvtduOVV17B7t27MXXqVBiN3ZfIP/vss4Me3FAkZZhyFW4pAHTZgNcrQBBF6Fl3RkTUq8O1wYBphgan4yRWkx4dvgBbCyhgwAHT3//+dxQXFwMAKisru32PBeC9u+QMBkxqZJikKUBBDM55Kz0lSEQUK5o7Ajgb2g7lZk0HTAZcdgWYYVLAgN+19+3bF81xDBvSlFyuwgXfAGA06JBg1KHdJ8LpYcBERNSbo6HpuBvTTEiN1+69Mtztm/vJyU7VphL79+/H3Xffjby8POh0Omzfvr3P17z33nu4+eabYTabMXbsWGzatEn2cUaT1FIgz6r8lBzQtfCbFxcRUW8OX9L+dBzA5pVKUjVgcrlcKCoqwosvvtiv48+fP4+FCxfijjvuQEVFBVauXImlS5fif//3f2UeaXSo2VJAYg0XfvPiIiLqiV8QcbQu2E5gxgjt9V/qKsnMXkxKUXXb5QULFmDBggX9Pn79+vUYM2YM1q1bBwCYMGECDhw4gOeeew7z58+Xa5hRo2ZLAUl4pRwvLiKiHlXWu+HyCkg26zEuXXvtBLoKN69khkl2qgZMkSovL8e8efO6PTd//nysXLmy19d4PB54PJ7w106nU67h9UnN+iVJeEqOrQWI+qSl+wcp59DF4HTcrJHxmmwn0JU0a8BVcvLT1sY4fbDb7cjOzu72XHZ2NpxOJzo6Onp8TVlZGWw2W/iRn5+vxFB7VKdy/RLAbt9EkdDS/YOUIYoiDtW0AwBK8xNUHk3fkkzBD8EMmOQXUwHTQKxevRoOhyP8qKmpUW0sUksBNTNMNguLvon6S0v3D1LG2SYvGtoDsMTpUJyr7YJvoDPDxCk5+cXUlFxOTg7q6+u7PVdfX4/k5GTEx/f8P7bZbIbZrI05aDW7fEuYYSLqPy3dP0gZ5aHs0vS8eJgM2p6OAzq3R2ljWwHZxVSGqbS0FHv27On23K5du1BaWqrSiCKjdksBgPvJERFdz6GaYHnHLfnazy4BLPpWkqoBU1tbGyoqKlBRUQEg2DagoqIC1dXVAILp8MWLF4eP/+EPf4hz587hiSeewOeff47//M//xOuvv44f/ehHagw/IlpoKQB0bSvATyNERF3VOn2odvhg0AEzR2i/fgno3lZAFEWVRzO0qRowHT58GNOmTcO0adMAAKtWrcK0adOwZs0aAEBdXV04eAKAMWPG4K233sKuXbtQVFSEdevW4dVXX2VLgQhwSo6IqGcHq4PTcVNzLOGpLq2TMkyCCHT4GDDJSdUaprlz5143Iu6pi/fcuXNx7NgxGUclj1qn+i0FgM4puTavgIAgan7JLBGRUvZXuQAAt46KjewSAJjj9DAZdPAGRLR6BSTESKAXi/hfViEXQwHTSJt69UtA55ScCC5DJSKS1Dh8ON8cnI6LpYAJ6Cz8buXqZ1kxYFLIRUdwSm5ksroBU5xeh0QTp+WIiLrafyGYXbo5Lz7mNiZn80plMGBSSDjDpHLABHStY+KnESIiURTDAdPtBbGVXQK6rJRjwCQrBkwKEEUxHDDlqzwlB7Dwm4ioq3PNPtS2+mEy6DArBrp7Xy2JzSsVwYBJAY3tAbj9Igw69Yu+Ae4nR0TU1fuh7NLMEfFIMMbe26LVxCk5JcTe/xkx6GKXFXJxGliVxgwTEVFQQBDxQShgmjM6UeXRDIxV2k+O93RZMWBSQI2G6pcAdvsmIpL8vd6NK+0BJJr0mDEiNrp7X62zeSVnDeTEgEkB4RVyGqhfAlj0TUQk2f1FGwBg7uiEmNg7ridJLPpWBAMmBWhphRzAKTkiIiBY81Me2jtu3o1JKo9m4MJtBXhPlxUDJgVoLmCyBKfkHCz6JqJhbP8FF7wBEQUpRoxNM6k9nAFjWwFlMGCSWbtPQGN7MDAZmaz+CjkASAkFTC0MmIhoGJOm4+bdkASdLjan44Cunb4ZMMmJAZPMpD3kUix6JGmke2xqfPC0t7i5uzURDU9VLV6cbvTCoAPuuCE2V8dJrF32CCX5MGCS2UWHtqbjgM4Mkzcgop27WxPRMPT26WB2qWRkfPieGKukKTlvQITHz6BJLgyYZKa1lgIAYInTIz4umH7mtBwRDTftPgF7zwcDpoXjrCqPZvDijTpILf5YxyQfBkwyq24JBkwFKdoJmAAgJT74iaqZARMRDTP7zrnQ4RMxMjkORTkWtYczaDqdrrPbN+uYZMOASWYXwgGTtlZgpEqF3x0MmIho+BBFEW+dbgUA3DXOGtPF3l1ZzVwpJzcGTDJy+wXY24JNKzWXYbIww0REw8/xeg+qHT5Y4nT48g2x23vpakmh7VG4Uk4+DJhkJE3HpVj0sGmsqDC8Uq6DFxcRDR87TgWzS3PHJCLRNHTeAsPNK7k9imyGzv8tGlTl0OZ0HMBeTEQ0/Fxq9aG8ph0A8LXxsV/s3ZXUi4mtBeTDgElGVS1eAMBojU3HAQyYiGj42XbSCRHAjLx4jNbgB9nBYPNK+TFgklGVRlfIAV1WybHom4iGgeaOQLiz9zcnJas8muhj0bf8GDDJqEqjK+SALqvkmGEiomFgx6lW+ARgXLoJk7PMag8n6thWQH4MmGTi9ATQFMre5Nu0mGHi9ihENDx0+AS8HWol8M1JyUOmlUBXSaEMk5MZJtkwYJKJtEIuOykOCUbt/Wfuuj1KB7dHIaIhbMepVrR6BeRZ43DLyAS1hyMLW2g/OSdnDWSjvXfyISLcsFKD2SUgtD2KMfgpi72YiGioavcK+NtJJwDggSk2GPRDL7sEdH4IdriZYZILAyaZXGgOrpDTYsG3hM0riWio+7+nnGj1ChiZHIfbRyeqPRzZJFuCb+cOTwACyyxkwYBJJl+EAqYb07RX8C3h9ihENJS1eQVs+yxYu/TtqSlDNrsEdE7JCSJ7McmFAZMM/IIYzjDdoOGAKS3UWqCJARMRDUHbTjrh8goYZTPitoKhWbskMRp04c7lnJaTBwMmGVx0+OATgHijDjlJcWoPp1fpCcGAqbGdARMRDS0NLj+2fxasXfpuUQr0Q3Bl3NVSzNLqZ97T5aCJgOnFF1/E6NGjYbFYMGvWLHz88ce9Hrtp0ybodLpuD4vFouBo+yZNx92QatL0RZqeEAzmGtr9Ko+EiCi6/vRpCzwBEZOyzCjNj1d7OIqwhQu/GTDJQfWAaevWrVi1ahXWrl2Lo0ePoqioCPPnz8fly5d7fU1ycjLq6urCj6qqKgVH3LdzTdqvXwKYYSKioelMowd7z7kAAEunpw7Jvks96dzyilNyclA9YHr22WexbNkyPPjgg5g4cSLWr1+PhIQEbNiwodfX6HQ65OTkhB/Z2dkKjrhvX0gBU6q2A6YMBkxENMSIoog/HmkGANwxJhGF6UOvq3dvbNJKOWaYZKFqwOT1enHkyBHMmzcv/Jxer8e8efNQXl7e6+va2tpQUFCA/Px83HPPPThx4kSvx3o8Hjidzm4POQmiiHMxUPANdGaYGtr97PZN1AOl7x80eO+dd6Hysgcmgw6Li1PUHo6iwr2YPAyY5KBqwNTQ0IBAIHBNhig7Oxt2u73H14wfPx4bNmzAm2++iddeew2CIGD27Nm4ePFij8eXlZXBZrOFH/n5+VH/O7qqb/Oj3SfCqNfmlihdpccHa5h8AuDk/kNE11D6/kGD0+oJ4NVQdun+KTZkJmp30Y0cbJySk5XqU3KRKi0txeLFi1FcXIw5c+bgb3/7GzIzM/Hyyy/3ePzq1avhcDjCj5qaGlnHJ03HjU4xIU7jPT+MBh1SQincRrYWILqG0vcPGpxNx1rg8ATbCHxjQrLaw1FcCqfkZKVq+J2RkQGDwYD6+vpuz9fX1yMnJ6dfP8NoNGLatGk4e/Zsj983m80wm5Wbwz7TGBvTcZL0+Di0uL1odPlxg8ZrroiUpvT9gwbuxGU3/vdsGwBg+aw0GA3a/sAqB66Sk5eqGSaTyYTp06djz5494ecEQcCePXtQWlrar58RCARw/Phx5ObmyjXMiJxq8AAAxmfExk22s46JFxgRxSa3X8Dz5Y0AgDtvTMKkLG21mlEKV8nJS/UJ3lWrVmHJkiWYMWMGSkpK8Pzzz8PlcuHBBx8EACxevBgjRoxAWVkZAODpp5/GLbfcgrFjx6KlpQXPPPMMqqqqsHTpUjX/DABAQBDDGabxGbGRrQm3FuCUHBHFqA1Hm1HX6kdGggEPTU9VeziqSQ41rmzzCvAFxGGZZZOT6gHTfffdhytXrmDNmjWw2+0oLi7Gzp07w4Xg1dXV0Os7E2HNzc1YtmwZ7HY7UlNTMX36dBw8eBATJ05U608Iq3L44AmISDDqNF/wLclg80oiimFHLnXg7dPBqbiVpelIMsVcaW7UWM166HXB/eQcnkD4/k7RoYn/mitWrMCKFSt6/N57773X7evnnnsOzz33nAKjitypK8HpuMJ0s6Y7fHcl9WJqcDHDRESxxeEO4Lehqbi7x1tRnDs8Onr3Rq/TIcViQFNHAE3tDJiibfiG4jI41SjVL8XGdByA8LLbehczTEQUOwKCiGcONKCpI4B8mxH/NC1F7SFpglRmwU3Vo48BUxSdbpDql2Kj4BsAcqzBgOmKy4+AwOaVRBQb/nzcgQq7G2aDDj/5UgbMcXw7A7jllZz4f1iUuLwCahw+ALEVMKXHGxCnB/wCC7+JKDYcru3AluMOAMCjt6SjICV2svpykxoSN3Zw1iDaGDBFyecNHogAspPiwks7Y4FBr+uclmvjBUZE2lbV4sVvDlwBANw1LglzxySqPCJtYYZJPgyYouTEZTcAYFJW7GSXJDlJwYDJzoCJiDSsuSOAp/ZdRrtPxKQsM5ZNT1N7SJrDgEk+DJiipLI+WPA9OQYbpmUnMcNERNrm8Qv41fuXcdkVQK41Dj+bk8k+Qz1Ij2dvPbkwYIoCj1/A6dAKucnZMZxhamXARETa4wuI+H/3X8GpBi+sJj1+cUcWks2xU/qgpPRQK4Em9taLOgZMUXCqwQu/AKTFG5CbFHt9L6SAia0FiEhrAoKI3xy4giOXgivinpybiRHJsdEYWA3SlJzLJ8Lt5xYp0cSAKQoqQ/VLU7LN0MVIw8qupICprtWn8kiIiDoFBBHPHmxAeU0H4vTAk3Mzh+0+cf2VYNQj3hh8H2IdU3QxYIqCynqp4Ds2L+Q8a/DTWotbgMvLTyREpD5fQMS/f9CA9y+0w6ADVt+eiWnDvJN3f0l1TNzyKroYMA2S2y/gs9CWKFOyYzNgSjDpw2lcqZcUEZFaOnwCntp3GQdr2hGnB35yeyZmjUxQe1gxo3MhDzNM0cSAaZAq6z3wCUBmogEjk2OvfkmSH6oJqGbAREQqamr342e761Fhd8MSp8Mv7shCaT6DpUiE61LbeD+PJgZMg3TkUgcAYHpufEzWL0nybcGA6SIDJiJSydlGD360047TjcHVcL+elz3sN9QdiOyk4P2cvfWiK3ZTIhpxrC4YMN2cF9sXtRQwMcNERGp4/7wLvzvUCE9ARL7NiDVzM5Fr5Wq4gWAzYnkwYBoEe5sPF51+6HVAUU5s1i9JRoUCphqHV+WRENFw4vYLeOVwM9492wYAmJEXj8dvy0CiiRMgAyVtqs7eetHFgGkQjl4Kro6bkGmO+YtbyjDVuwJo9wlIMMb230NE2neu2YtnDjSgxuGDDsC3Jifj21NTYNDHbnmDFuSE9gd1eATez6OIAdMgHKxuBwDMHBHb03EAYLMYkJFgQEN7AOeavJgcoyv+iEj7fAERW4478JcTDgTEYNPfH9+ajqKc2L+XakGCSY9ksx5Oj4D6Nj/GpJrUHtKQwIBpgJyeAP4e6r80e9TQWMExNt2EhvYOnGlkwERE8jh52Y0XPmoKtzC5JT8ej85Kh83CrU6iKdcaB6fHi4tOHwOmKGHANEAfXeyAIAKjU4zhxo+xbly6GYdqOnAmtC8eEVG01Lf5selYMz6oCmbmUyx6/HBmGm4dlRDTK4y1qsBmwqkGL6pafPhSgdqjGRoYMA2QNB136xDJLgHA2LTgp5AzTSz8JqLocHoC+NtJJ978zAmfAOgAfGVsEh6clgIrN9CVTUFK8IN8VQvv59HCgGkAHO5AuJ3AUJmOA4DC9GDAVNfqh8MdYIqciAbM4Q5g22dOvHWqFR1+EQAwNduMpdPTcEMap4jk1hkwsVVMtDBgGoD3L7jgF4Ab00woSBk6F77VbEBBihFVLT4cr3fjtoJEtYdERDGmxuHDW6dbsetsGzyBYKA0JtWI705NQcnI2G7wG0uk96a6Vj88fgHmOK6UGywGTAOw+4tgv5B5Nw69gKI4x4KqFh8q6hgwEVH/BAQRn9R2YMepVlTY3eHnC9NMuH+qDSUjGCgpLcXSuVLuQosP4zPMag8p5jFgitAXTV6ca/YhTg/MGT30AoqiHAve/Lz7TY+I6GqiKOJMoxf7zruw/4ILDo8AANDrgJIR8fjaeCuKciwMlFSi0+kwPsOMT2o78NkVDwOmKGDAFKHtnzkBALPzE5A8BAsWJ2dbEKcPttSvavEOqSlHIhqcgCDidKMHH13sQHl1O2q7dJK2mfX4ytgkLCi0IjuJby1aMCEzGDCdvOLBoglqjyb28f/qCDS0+7H/ggsAsGhCssqjkUeCUY+bc+PxcW0HPqhqZ8BENMw1dwR7zh271IGPazvgDGWSAMBs0OGW/HjMHZOEabkWxLFDt6ZMzApmlT677IEoisz2DRIDpghsO+lEQAQmZZkxbginN28fnYiPazvw/nkXvj3VBj0vMqJhQRRFXHYFcKrBg+P1bhyvd+Ois/t+ZIlGHWaMiEfJiATMHBnPbTc0rDDNBLNBh2Z3AOebfVydOEgMmPqpvs2Pt063AgC+Ndmm8mjkNWtkPBKNOtS1+fHJxQ7Myh86rROIKEgQRVx2+XGh2YczjV6cbfLgTKO3WwYJCPZNuiHVhCk5ZpSMSMDELDMzSTHCHKfHtDwLDtV0oLymnQHTIDFg6qeNR5vhF4CpORbcnDu0tw2JN+qxYJwVfznhxJZKB2aOjGeWiShGubwCLrv8qGv146LTh+oWH2ocPlx0+sLL/ruK0wOjU0yYlGXGlGwLJmWZ2WAyhpWOTMChmg7sv+DCA5wxGBRNBEwvvvginnnmGdjtdhQVFeGFF15ASUlJr8e/8cYb+PnPf44LFy6gsLAQ//7v/4677rpLtvEdqHLhQHU79Drg4ZtTh8U88D03JeOt06040+jFW6dbcff4oVmzRRSrRFGEyyeiuSOAFncAzR3Bx2WXP/hoC6De5UebV+j1Z8TpgZHJRoxNN6EwzYzCdBNGp5pgMgz9e9xwUToqAS8fbkJtqx+HaztQMpIzBgOlesC0detWrFq1CuvXr8esWbPw/PPPY/78+Th16hSysrKuOf7gwYN44IEHUFZWhq997WvYvHkzFi1ahKNHj2Ly5MlRH9/5Zi9+e6gRAHDvJBtuHCYpzdR4AxYXpeDlw8149XAzMhPicAun5oiiShRFeAMi3H4RHr+INp8Al1dAW+jhuuqfbV4BDndngOTrPRbqJtmsR3ZiHEbajMi3GTEq9M+cpDgYOL02pCUY9fhqoRV/O+nEH480Y2qOBRY2sRwQnSiK1+ZkFTRr1izMnDkTv//97wEAgiAgPz8fjz76KH7yk59cc/x9990Hl8uFHTt2hJ+75ZZbUFxcjPXr1/f5+5xOJ2w2G8rLy5GUlHTdY4/Xu/Hr96+gzStgSrYZT/9DNozD6JOXIIr4jwMN2B/aLPMfbkjEP4xJxNh0M5JMvOBIfW1tbSgtLYXD4UBysvxZ0EjuHy9/0gSHOwC3X4Q7IMLjF+DxB4Mjd+jfPQERwiDvwIlGHVLjDUixGJAab0BmQhyykuKQnWhAVlIcshLjEM/C7GGtzSvgn/+/S2jqCGBiphk/mJmGG1KNw2K25HoivX+ommHyer04cuQIVq9eHX5Or9dj3rx5KC8v7/E15eXlWLVqVbfn5s+fj+3bt/d4vMfjgcfjCX/tdDr7NbaAIOKlj5vQ5hUwPsOEn92eOayCJQDQ63T40ewMWM1NeOt0G/aec2HvuWBbhfg4HcxxOpjj9Ii76j/L9a7B4X6BUv+tLE1XvdneQO8fAPBhdTuaOgL9Pt6oBxJNeiSZ9OF/dn1IzyWbg4FRqsWAlHgDp8+oT0kmPVbfnok1e+px8ooHj71dB5NBB5tZD4Nehzj90Ls3//au3KhfG6oGTA0NDQgEAsjOzu72fHZ2Nj7//PMeX2O323s83m6393h8WVkZnnrqqYjHZtDr8LM5mfjrSSd+MCN12O7DYzTo8EhJOr58QxLePt2Ko3VuNHUE0OEXQxtq9nNOgChCHr+qyW8AA79/AMD9U2zwBUSY43SwxOlD/ww+zHH64L8bOr/HqTGS04RMM56/Kxf/XdGCj2s74A2IuNLe/4A+1gQnz4ZQwKSE1atXd8tIOZ1O5Ofn9+u1I5KN+H9uSZdraDFlXEZn76kOn4CmjgA8ARFev4hAaFa329ubeO2/qjv5S7HmhlSj2kMY1P3jrnFWuYZFNCAjko34ye2Z8AVENLQHFwT4heCMSizfnnt6b5Gj9YWqAVNGRgYMBgPq6+u7PV9fX4+cnJweX5OTkxPR8WazGWbz0G0yqYZ4ox4jWBNBwwDvHzQUGQ065FrV/0ASa1R91zOZTJg+fTr27NkTfk4QBOzZswelpaU9vqa0tLTb8QCwa9euXo8nIiIiGizVp+RWrVqFJUuWYMaMGSgpKcHzzz8Pl8uFBx98EACwePFijBgxAmVlZQCAxx57DHPmzMG6deuwcOFCbNmyBYcPH8Yrr7yi5p9BREREQ5jqAdN9992HK1euYM2aNbDb7SguLsbOnTvDhd3V1dXQ6zsTYbNnz8bmzZvx5JNP4qc//SkKCwuxfft2WXowEREREQEa6MOktEj6qBCRtmm5DxMRaVuk9w9W7hIRERH1gQETERERUR9Ur2FSmjQD6XK5VB4JEQ2WdB0rVVnA+wfR0BHp/WPYBUytra0AgHnz5qk8EiKKltbWVthsNkV+D8D7B9FQ0t/7x7Ar+hYEAZcuXYLVau117xypm29NTY0ihaRK498X2/j3dRJFEa2trcjLy+u2mlYugiBg3LhxOHLkyDX3j5kzZ+KTTz4Jf62l83T12NT4WZG8rq9jB/r9/j6vlXMXzfM2mJ83VM9dpPePYZdh0uv1GDlyZL+OTU5OVv1GJyf+fbGNf1+QEpkliV6vh8lk6vF3GgyGHserhfPU29iU/FmRvK6vYwf6/UifV/vcRfO8DebnDeVzF8n9g0XfREQRWL58eUTPa0E0xzbQnxXJ6/o6dqDfj7VzF+1x8dwNzrCbkusPqdeKUr1dlMa/L7bx74sNQ+XvGI547mKXnOeOGaYemM1mrF27dshuusm/L7bx74sNQ+XvGI547mKXnOeOGSYiIiKiPjDDRERERNQHBkxEREREfWDARERERNQHBkxEREREfRi2AdOLL76I0aNHw2KxYNasWfj444+ve/wbb7yBm266CRaLBVOmTMHbb7+t0EgjU1ZWhpkzZ8JqtSIrKwuLFi3CqVOnrvuaTZs2QafTdXtYLBaFRhyZX/ziF9eM9aabbrrua2Ll3AHA6NGjr/n7dDpdr71GtH7u9u/fj7vvvht5eXnQ6XTYvn17t++Loog1a9YgNzcX8fHxmDdvHs6cOdPnz430+o0F3/jGN5Camop//Md/VHsodB07duzA+PHjUVhYiFdffVXt4VAEBnuNDcuAaevWrVi1ahXWrl2Lo0ePoqioCPPnz8fly5d7PP7gwYN44IEH8PDDD+PYsWNYtGgRFi1ahMrKSoVH3rf3338fy5cvx6FDh7Br1y74fD7ceeedfW4WmpycjLq6uvCjqqpKoRFHbtKkSd3GeuDAgV6PjaVzBwCffPJJt79t165dAIB7772319do+dy5XC4UFRXhxRdf7PH7v/nNb/C73/0O69evx0cffYTExETMnz8fbre7158Z6fUbKx577DH86U9/UnsYdB1+vx+rVq3C3r17cezYMTzzzDNobGxUe1jUT4O+xsRhqKSkRFy+fHn460AgIObl5YllZWU9Hv+tb31LXLhwYbfnZs2aJf7gBz+QdZzRcPnyZRGA+P777/d6zMaNG0WbzabcoAZh7dq1YlFRUb+Pj+VzJ4qi+Nhjj4k33nijKAhCj9+PpXMHQNy2bVv4a0EQxJycHPGZZ54JP9fS0iKazWbxz3/+c68/J9LrN5bs27dP/OY3v6n2MKgXH374obho0aLw14899pi4efNmFUdEkRrMNTbsMkxerxdHjhzpttu4Xq/HvHnzUF5e3uNrysvLr9mdfP78+b0eryUOhwMAkJaWdt3j2traUFBQgPz8fNxzzz04ceKEEsMbkDNnziAvLw833HADvvOd76C6urrXY2P53Hm9Xrz22mt46KGHet0oGoitc9fV+fPnYbfbu50fm82GWbNm9Xp+BnL9RkNfU4vA0JwmHGoGex4vXbqEESNGhL8eMWIEamtrlRj6sKeFa3DYBUwNDQ0IBALIzs7u9nx2djbsdnuPr7Hb7REdrxWCIGDlypW49dZbMXny5F6PGz9+PDZs2IA333wTr732GgRBwOzZs3Hx4kUFR9s/s2bNwqZNm7Bz50689NJLOH/+PL70pS+htbW1x+Nj9dwBwPbt29HS0oJ/+qd/6vWYWDp3V5POQSTnZyDXbzT0NbXYn2nC4uJiTJ48+ZrHpUuXZBs3dReN80jq0MK5i4vaTyLNWb58OSorK69b4wMApaWlKC0tDX89e/ZsTJgwAS+//DJ++ctfyj3MiCxYsCD871OnTsWsWbNQUFCA119/HQ8//LCKI4u+P/7xj1iwYAHy8vJ6PSaWzl0sW7BgQbf/96727LPPYtmyZXjwwQcBAOvXr8dbb72FDRs24Cc/+QkAoKKiQomh0nUM9jzm5eV1yyjV1taipKRE9nFTdK7BwRp2GaaMjAwYDAbU19d3e76+vh45OTk9viYnJyei47VgxYoV2LFjB/bt24eRI0dG9Fqj0Yhp06bh7NmzMo0uelJSUjBu3LhexxqL5w4AqqqqsHv3bixdujSi18XSuZPOQSTnZyDXr9zUmiak6OrPeSwpKUFlZSVqa2vR1taGd955B/Pnz1dryBSi1DU47AImk8mE6dOnY8+ePeHnBEHAnj17un1S76q0tLTb8QCwa9euXo9XkyiKWLFiBbZt24a9e/dizJgxEf+MQCCA48ePIzc3V4YRRldbWxu++OKLXscaS+euq40bNyIrKwsLFy6M6HWxdO7GjBmDnJycbufH6XTio48+6vX8DOT6lVu0pgnnzZuHe++9F2+//TZGjhzJYEth/TmPcXFxWLduHe644w4UFxfjxz/+MdLT09UYLnXR32twsNfYsJySW7VqFZYsWYIZM2agpKQEzz//PFwuVziVt3jxYowYMQJlZWUAgksR58yZg3Xr1mHhwoXYsmULDh8+jFdeeUXNP6NHy5cvx+bNm/Hmm2/CarWG/2ex2WyIj48HcO3f9/TTT+OWW27B2LFj0dLSgmeeeQZVVVURZzeU8C//8i+4++67UVBQgEuXLmHt2rUwGAx44IEHAMT2uZMIgoCNGzdiyZIliIvrfonG2rlra2vrlu06f/48KioqkJaWhlGjRmHlypX41a9+hcLCQowZMwY///nPkZeXh0WLFoVf8+Uvfxnf+MY3sGLFCgB9X7+xavfu3WoPgfrh61//Or7+9a+rPQwagMFeY8MyYLrvvvtw5coVrFmzBna7HcXFxdi5c2c4Oq2uroZe35l8mz17NjZv3ownn3wSP/3pT1FYWIjt27dft5BaLS+99BIAYO7cud2e37hxY7h4+Oq/r7m5GcuWLYPdbkdqaiqmT5+OgwcPYuLEiUoNu98uXryIBx54AI2NjcjMzMRtt92GQ4cOITMzE0BsnzvJ7t27UV1djYceeuia78XauTt8+DDuuOOO8NerVq0CACxZsgSbNm3CE088AZfLhe9///toaWnBbbfdhp07d3ZrvvnFF1+goaEh/HVf16/StDhNSJHjeYxdSp07nSiKYtR+GhHREKfT6bBt27ZuWbBZs2ahpKQEL7zwAoBglnDUqFFYsWJF1ApOKbp4HmOXWuduWGaYiIgi0dfU4lCdJhxqeB5jlybOXTQ7aBIRDUX79u0TAVzzWLJkSfiYF154QRw1apRoMpnEkpIS8dChQ+oNmHrE8xi7tHDuOCVHRERE1Idh11aAiIiIKFIMmIiIiIj6wICJiIiIqA8MmIiIiIj6wICJiIiIqA8MmIiIiIj6wICJYlJjYyOysrJw4cIFWX/P/fffj3Xr1sn6O4iISPvYh4li0qpVq9Da2oo//OEPsv6eyspK3H777Th//jxsNpusv4uIiLSLGSbSLK/X2+Pz7e3t+OMf/4iHH35Y9jFMnjwZN954I1577TXZfxcREWkXAybSjLlz52LFihVYuXIlMjIyMH/+/B6Pe/vtt2E2m3HLLbeEnztw4ACMRiPcbnf4uQsXLkCn06Gqqir88x999FGsXLkSqampyM7Oxh/+8IfwfkNWqxVjx47FO++80+333X333diyZYsMfzEREcUKBkykKf/1X/8Fk8mEDz/8EOvXr+/xmA8++ADTp0/v9lxFRQUmTJgAi8USfu7YsWNITU1FQUFBt5+fkZGBjz/+GI8++igeeeQR3HvvvZg9ezaOHj2KO++8E9/73vfQ3t4efk1JSQk+/vhjeDyeKP+1REQUKxgwkaYUFhbiN7/5DcaPH4/x48f3eExVVRXy8vK6Pffpp59i2rRp3Z6rqKhAUVFRt+eKiorw5JNPorCwEKtXr4bFYkFGRgaWLVuGwsJCrFmzBo2Njfj73/8efk1eXh68Xi/sdnuU/koiUhMXjdBAMGAiTbk6c9STjo6ObpkkIBgcFRcXd3vu2LFj1zw3derU8L8bDAakp6djypQp4eeys7MBAJcvXw4/Fx8fDwDdsk5EFLt+/etf45577sHo0aNl/T1PPvkkfv3rX8PhcMj6e0gZDJhIUxITE/s8JiMjA83NzeGvA4EAKisrr8kwHT169JqAyWg0dvtap9N1e06n0wEABEEIP9fU1AQAyMzM7N8fQUSq46IRijYGTBRzpk2bhpMnT4a/PnXqFNxud7dpuvLyctTW1l4TMA1EZWUlRo4ciYyMjEH/LCKSBxeNkNwYMFHMmT9/Pk6cOBHOMlVUVAAAXnjhBZw5cwbvvPMOFi9eDKD3T5mR+OCDD3DnnXcO+ucQkby4aITkxICJYs6UKVNw88034/XXXwcQvNnNnz8f586dw5QpU/Czn/0MTz31FJKTk/G73/1uUL/L7XZj+/btWLZsWTSGTkQy4qIRklOc2gMgkrz33nv9PnbNmjV4/PHHsWzZMnz66aeYOXMmfvWrX3U75tvf/nafP7+nVTJdm99v3LgRJSUl3dL3RKRNg1k0cvX9gotG6GrMMFFMWrhwIb7//e+jtrYWn376abebVjQZjUa88MILsvxsIoouLhohOTFgopi1cuVKGI1G1NfXyxYwLV26tNfUPhHFHi4aoYFiwEQxLScnB6IoYuLEiWoPhYhiABeN0EAxYCIiomGDi0ZooHRi1wpXIiKiIe6tt97C448/jsrKSixYsKDHRSPR8NJLL2Hbtm149913o/6zSXlcJUdERMPKwoULcebMmfCikYceekiW38NFI0MLM0xERDQs2e125Obm4sSJE6yDpD4xYCIiIiLqA4u+iYiIiPrAgImIiIioDwyYiIiIiPrAgImIiIioDwyYiIiIiPrAgImIiIioDwyYiIiIiPrAgImIiIioDwyYiIiIiPrAgImIiIioDwyYiIiIiPrw/wPGpuWMMIPfwwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Calculating modified gamma distribution\n", "a = 2. ; b = 8.e-3 ; c = 6. \n", "r = np.arange(1.0e-1,1.0e1+1.0e-3,1.0e-3)\n", "nr = r**a * np.exp(-b*r**c)\n", "\n", "#Making summary plot\n", "fig,(ax1,ax2) = plt.subplots(1,2,figsize=(6,3),sharey=True)\n", "ax1.plot(r,nr)\n", "ax2.plot(r,nr)\n", "ax2.set_xscale('log')\n", "ax1.set_xlabel('r ($\\mu$m)')\n", "ax2.set_xlabel('r ($\\mu$m)')\n", "ax1.set_ylabel('n(r)')\n", "ax1.set_facecolor('lightgray')\n", "ax2.set_facecolor('lightgray')\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "8de9e224-527c-45a6-88ce-555c1aa00f9e", "metadata": {}, "source": [ "### Running Makephase" ] }, { "cell_type": "code", "execution_count": 11, "id": "aec2c927-db99-453e-960c-c1a375f939f9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000450198632251\n", "Maximum integral of phase function is 1.0001966612381192\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000011255322207\n", "Maximum integral of phase function is 1.0000491675803809\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 2 #Phase function defined using a combination of Legendre polynomials\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NLPOL = 100 #Number of Legendre polynomials to describe the phase function\n", "\n", "wavel = np.arange(5.,10.+0.1,0.1)\n", "NWAVE = len(wavel) #Number of spectral points\n", "\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "theta = np.linspace(0.,180.,NTHETA) #Number of phase angles\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA,NLPOL=NLPOL)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Reading the refractive index from the dictionary (Mars mineral dust)\n", "Scatter.read_refind(4)\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 3 #Modified gamma distribution\n", "a = 2. ; b = 8.e-3 ; c = 6. \n", "pars = np.array([a,b,c]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Making a summary plot\n", "#################################################################################################\n", "\n", "#Plotting the extinction coefficient and single scattering albedo and the double HG parameters\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(12,3))\n", "\n", "ax1.plot(Scatter.WAVE,Scatter.KEXT[:,idust])\n", "ax1.grid()\n", "ax1.set_ylabel('Extinction coefficient (cm$^2$)')\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_facecolor('lightgray')\n", "\n", "ax2.plot(Scatter.WAVE,Scatter.SGLALB[:,idust])\n", "ax2.grid()\n", "ax2.set_ylabel('Single scattering albedo')\n", "ax2.set_xlabel('Wavelength ($\\mu$m)')\n", "ax2.set_facecolor('lightgray')\n", "\n", "\n", "ax3.plot(Scatter.WAVE,Scatter.WLPOL[:,0,idust],label='L$_{0}$')\n", "ax3.plot(Scatter.WAVE,Scatter.WLPOL[:,49,idust],label='L$_{49}$')\n", "ax3.plot(Scatter.WAVE,Scatter.WLPOL[:,99,idust],label='L$_{99}$')\n", "ax3.grid()\n", "ax3.legend()\n", "ax3.set_ylabel('Henyey-Greenstein parameters')\n", "ax3.set_xlabel('Wavelength ($\\mu$m)')\n", "ax3.set_facecolor('lightgray')\n", "\n", "plt.tight_layout()\n", "\n", "#Calculating the actual phase function from our double HG parameterisation\n", "##################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase = Scatter.calc_phase(theta,Scatter.WAVE)\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "Scatter.check_phase_norm()\n" ] }, { "cell_type": "markdown", "id": "768f2e70-e9fa-4f52-b5ff-21761fe6f7cc", "metadata": {}, "source": [ "## 5. Calculating the optical properties for a single particle size\n", "\n", "With Makephase, we can also calculate the optical properties for a single particle size using the Mie formalism. In this example, we are going to model the optical properties of spherical particles with $r$ = 1.5 $\\mu$m assuming a refractive index given by the Mars' dust particles (i.e. refractive index #1 in the dictionary)." ] }, { "cell_type": "code", "execution_count": 12, "id": "3f0a5979-30c6-4829-b19e-bab94218c8e2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000798739761978\n", "Maximum integral of phase function is 1.0070108912104245\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000499204880666\n", "Maximum integral of phase function is 1.0043776123659964\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 1 #Phase function defined explicitly\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NWAVE = 121 #Number of spectral points\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "wavel = np.linspace(0.5,5.,NWAVE)\n", "theta = np.linspace(0.,180.,NTHETA)\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA,NLPOL=NLPOL)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Reading the refractive index from the dictionary (Solution of sulfuric acid and water)\n", "Scatter.read_refind(1)\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 4 #Modified gamma distribution\n", "r0 = 1.5\n", "pars = np.array([r0]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Making a summary plot\n", "#################################################################################################\n", "\n", "#Plotting the extinction coefficient and single scattering albedo and the double HG parameters\n", "fig,(ax1,ax2) = plt.subplots(1,2,figsize=(8,3))\n", "\n", "ax1.plot(Scatter.WAVE,Scatter.KEXT[:,idust])\n", "ax1.grid()\n", "ax1.set_ylabel('Extinction coefficient (cm$^2$)')\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_facecolor('lightgray')\n", "\n", "ax2.plot(Scatter.WAVE,Scatter.SGLALB[:,idust])\n", "ax2.grid()\n", "ax2.set_ylabel('Single scattering albedo')\n", "ax2.set_xlabel('Wavelength ($\\mu$m)')\n", "ax2.set_facecolor('lightgray')\n", "\n", "\n", "plt.tight_layout()\n", "\n", "#Calculating the actual phase function from our double HG parameterisation\n", "##################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase = Scatter.calc_phase(theta,Scatter.WAVE)\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "Scatter.check_phase_norm()\n" ] }, { "cell_type": "markdown", "id": "69e1859a-8e3b-40dc-8cf4-332d107ee9e7", "metadata": {}, "source": [ "## 6. Calculating an isotropic scattering phase function\n", "\n", "Another case that we may want to model is the case of isotropic scattering. In this case, light is scattered with equal probability in all directions, so essentially the phase function if equal at all phase angles. Note that in this *ISCAT* case we are not performing any calculations involving Mie Theory, we are just defining the phase function of the particles. Therefore, while this mode will change the parameters in the Scatter class defining the phase function (i.e., either *G1*, *G2*, and *F* if *IMIE* = 0, or *PHASE* if *IMIE* = 1, etc.), it will not change the other parameters defining the optical properties (i.e., *KEXT*, *SGLALB*, etc.). " ] }, { "cell_type": "code", "execution_count": 13, "id": "d558cfca-401e-45d8-b14b-35e232b14674", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0\n", "Maximum integral of phase function is 1.0\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0\n", "Maximum integral of phase function is 1.0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/stem/ja22256/Documents/Projects/archnemesis-dist/archnemesis/Scatter_0.py:1209: RuntimeWarning: invalid value encountered in divide\n", " self.SGLALB[iord,idust] = xscat[:]/xext[:]\n" ] }, { "data": { "image/png": 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kaZy33noLqampmDFjBoD7N5Q1RnpbWlBaWoqzZ88iKCjof8EolQgKCkJ8fLzWfeLj4zX6A/fXf/y1f8+ePbF3715cv34dQggcOXIEly9fRt++fauNJS8vD9bW1ixiiYiI/sYOHDiAY8eOYdmyZRrtPj4+9f4Irg0bNiAvLw/BwcFo3bq19PrrX4tv3rypsSzg8OHDuHbtGkaNGqX1mNevX0doaCj8/Pzw+uuvw87ODkeOHIGjo6PW/klJSQgKCkJaWhq6deuG+fPnY/bs2bC2tsbatWvr9oTriN4qtxs3bqCiokJaDFzJ2dkZly5d0rpPdna21v6Vv7UAwJo1azBx4kS0aNECRkZGUCqV2LBhA5555plq41i0aBEmTpxYY7wlJSUoKSmRPlc+FkOtVtf7+o/K49f3OE0F8yUP8yUP8yUP8yVPU8mXEEL638r3DTXmo+jfvz+uX79e5XgbNmyoszGqU90XH/x13Pfeew/vvfee9LlPnz7Sftpi27p1q8bn0tJSmJiYVHseSUlJ8Pf3x7x58zTaX3nlFY0xoqOjq4z522+/VWmrKba/XiMPXu9yrv8mNwW5Zs0anDx5Env37oWHhweOHz+OSZMmwc3Nrcpsbn5+PgYMGABvb2/Mnz+/xuNGRUVhwYIFVdorHxLcENLT0xtknKaC+ZKH+ZKH+ZKH+ZLH0PNlZGQEFxcXlJWVVXmuaX1orH/2boxqytWFCxfw6quvNkg+y8rKUF5ejuzsbJSXl2tsk/PsWb0Vsg4ODlCpVMjJydFoz8nJqXYRsouLS4397927h1mzZuH777/HgAEDAAAdO3ZEYmIili9frlHI3r17F/369YOVlRW+//77Gh+pAdxfZxIeHi59zs/Ph7u7Ozw8PGBpaan7iT8EtVqN9PR0eHh4QKnU+4MmGj3mSx7mSx7mSx7mS56mkq/K2TZjY2OYmJjU61iVs4xUu5pylZ2djdzcXPj5+TVIPoUQMDIyQosWLar8slNQUKDzcfRWyJqYmMDf3x+xsbEICQkBcP8HODY2FpMnT9a6T2BgIGJjYzF9+nSpLSYmBoGBgQDuV/dlZWVVfvhVKpXGNHV+fj6Cg4NhamqKvXv3anx7RXVMTU1hampapV2pVDbYPzYNOVZTwHzJw3zJw3zJw3zJY+j5UqvVEEJAoVDU64zsX/9k3RAzv4astly5urrW+7dw/VVlDAqFosq1Lufa1+vSgvDwcISGhqJr167o3r07Vq1ahcLCQukpBqNGjcJjjz2GqKgoAMC0adPQq1cvrFixAgMGDMDOnTtx5swZrF+/HgBgbW2NXr16ISIiAubm5vDw8MCxY8ewbds2rFy5EsD9IrZv374oKirC9u3bkZ+fL613dXR0hEql0kMmiIiIiEguvRayw4cPx59//om5c+ciOzsbnTp1QnR0tHRDV0ZGhkZV3rNnT+zYsQOzZ8/GrFmz0K5dO+zZs0fjuW47d+5EZGQkRo4ciVu3bsHDwwPvv/8+wsLCANz/yrlTp04BANq2basRT1pams7PbSMiIiIi/dL7zV6TJ0+udinB0aNHq7QNGzas2uefAffX0W7evLna7c8++2yD3UFJRERERPXHcBfgEBEREdHfGgtZIiIiIjJILGSJiIiIyCCxkCUiIiIig8RCloiIiIgMEgtZIiIiIjJILGSJiIiIyCA91HNk79y5g9OnTyM3N1fjq1+B+9/GRURERGTI5syZgzVr1iAkJARbtmzRdzhUDdmF7L59+zBy5EgUFBTA2tpa4/t6FQoFC1kiIiIyeDNmzICbmxveeecdzJkzB23atKnX8RYvXowlS5ZotD3++ONITEyscb9169Zh1apVyMnJga+vL1asWIFu3brVY6SNi+ylBe+88w7Gjh2LgoIC3LlzB7dv35Zet27dqo8YiYiIiBqUjY0NRo8eDaVSiYsXLzbImN7e3rh69ar0OnToUI39v/nmG8ycOROzZs1CXFwcfH19MXjwYOTm5jZIvI2B7EL2+vXrmDp1KiwsLOojHiIiIqJGoby8HBYWFkhOTm6Q8VQqFVxcXKSXg4NDjf0//vhjjBkzBqNGjUKHDh2wZs0amJubY9u2bdXuExcXB2traxQXF0tt6enpsLCwQEZGBgAgODgY4eHhiIiIgJubGzw9PbFp0yYUFhZi4sSJcHJygo+PDw4ePFg3J/4IZBeywcHBOHPmTH3EQkRERNRoLFiwAAUFBToVskuXLoWjo2ONr2vXrtV4jNTUVLRu3Rre3t4YM2ZMjf1LS0tx7tw5PPfcc1KbUqlE7969cerUqWr3S0pKgpeXF8zMzKS2xMRE2NnZoWXLllLbl19+iebNm+P48eMICwvDtGnTMHLkSPTo0QNxcXHo06cPxo8fj6KiolpzU59kr5EdMGAAIiIikJycDF9fXxgbG2tsHzRoUJ0FR0RERE2DEALFFcW1d5R5zNLyUlQoKzTu2XmQmcqsxu3aJCQk4PPPP0e/fv10KmTHjx+PoUOH1tjH1dW12m3dunXD+vXr0a5dO2RnZ2PJkiUICgrCmTNnYGVlVaX/jRs3UFFRAWdnZ412JycnpKSkVDvOhQsX4Ofnp9GWlJQEX19fjTZfX1/MnDkTABAREYEVK1bAwcEBY8eOBQBERkZiw4YNuHjxIrp3717jedcn2YXshAkTAAALFy6ssk2hUKCiouLRoyIiIqImpbiiGL2+66WXsY8NOQZzI3Od+6vVakyZMgVhYWHo1q0bxo4di7KysiqTd39lb28Pe3v7h44xODhYeu/r64tu3brBy8sL3377LUaPHv3Qx31QUlIShg8frtF2/vx5dOzYUaPNx8dHeq9SqWBvb48nnnhCaqssoPW9Hlf20gK1Wl3ti0UsERERGbq1a9fi5s2bmDNnDp544gmUlZXVOMsJ1M3Sgr+ytbVF27ZtcfXqVa3bHRwcoFKpkJOTo9Gem5tbZZa2UkVFBZKTk6vMyCYmJlYpZB8s2hUKhUZb5Qz3g49hbWgP9RxZIiIiIjnMVGY4NuRYnR5TCIHS0lKYmJjUurRAV9evX8fChQuxZcsWNGvWDG3btoWpqSmSk5M1Zikf9KhLCx5UUFCAtLQ0uLi4aN1uYmKCzp074+jRo9KyTrVajSNHjiAsLEzrPr///juKi4s14jh16hQyMzOrFLKG4qEK2WPHjmH58uX47bffANx/XERERASefvrpOg2OiIiImgaFQiHrz/u6EEJApVbBxKjmQlaOGTNmoG/fvujfvz8AwMjICO3bt8evv/5a436PurQgMjISL7zwAlq2bImsrCwsXrwYKpUKw4YNk/qsXbsW+/btw4EDBwAAU6dOxYQJE9ClSxd07doVn3zyCYqKivD6669rHePChQvScd566y2kpqZixowZAO7fPGaIZBey27dvx5gxYzBkyBBMnToVAPDzzz+jT58+2LJlC1599dU6D5KIiIiovh04cADHjh1DQkKCRruPj0+9P4Lr+vXrCA0Nxa1bt+Dg4ICePXvi6NGjcHR0lPrcvHlTY6nByy+/jD///BOLFi1CTk4OOnbsiD179lS7tODChQsICgpCWlqatAZ39uzZmDZtGtauXYuNGzfW6znWB4UQQsjZoUOHDpg4cSLefvttjfaVK1diw4YN0ixtU5efnw8bGxvEx8fD0tKyXsdSq9VIS0tDq1atoFTKXtb8t8N8ycN8ycN8ycN8ydNU8qVWqyGEgIeHB0xNTettHF2XFtD9XA0cOBBdu3bF/Pnz9R0OSkpKkJ6eDoVCUeVaLygoQGBgIPLy8mBtbV3jcWT/lFy9ehUDBw6s0j5o0CCkpaXJPRwRERERNYCLFy9qPHmgKZBdyLq7uyM2NrZK+6FDh+Du7l4nQRERERFR3cnOzkZubm6TK2Rlr5F95513MHXqVCQmJqJnz54A7q+R3bJlC1avXl3nARIRERHRo3FxccHt27dhYmKi71DqlOxC9s0334SLiwtWrFiBr7/+GsD9dbO7du3C4MGD6zxAIiIiIiJtHurxWy+99BJeeumluo6FiIiIiEhnhntLJBERERH9rek0I2tvb4/Lly/DwcEBdnZ2NT7i4tatW3UWHBERERFRdXQqZD/66CNYWVlJ7/msNiIiIqqNzEfV099IXV0bOhWyoaGh0vvRo0fXycBERETUNCkUCqjVahQXF8PMzEzf4VAjVFxcDCHEI3/xh+ybvVQqFbKysuDk5KTRfvPmTTg5OaGiouKRAiIiIiLDVvmX2z///BMAYGZmVi9/zRVCoKysDEII/rW4Fo0lV0IIFBcXS9fGo8Yiu5Ctbiq4pKSkyT2bjIiIiB6OSqVCRUUFcnJy6rVwKi8vh5HRQz2E6W+nseSqspZUqVSPfCydz+bjjz8GcL9y/vzzz2FpaSltq6iowPHjx+Hl5fXIAREREZHhUygUMDIyghCi3tbKCiGQnZ2NFi1acEa2Fo0pV0qlss5i0LmQ/eijjwDcT8S6des0qmgTExN4enpi3bp1dRIUERERNQ0KhaLeCie1Wo3y8nIoFIpHXmvZ1DXVXOlcyKalpQEAnnvuOXz33Xews7Ort6CIiIiIiGoje6HEkSNH6iMOIiIiIiJZZM8tDx06FB9++GGV9qVLl2LYsGF1EhQRERERUW1kF7LHjx/HCy+8UKW9f//+OH78eJ0ERURERERUG9mFbEFBgdbHbBkbGyM/P79OgiIiIiIiqo3sQtbX1xe7du2q0r5z5054e3vXSVBERERERLWRfbPXnDlzMGTIEKSmpqJ3794AgNjYWHz11VfYvXt3nQdIRERERKSN7EJ24MCB2LNnD5YsWYJvvvkG5ubm6NixIw4dOoRevXrVR4xERERERFU81PeUDRgwAAMGDKjrWIiIiIiIdPbQX+1QWlqK//73v8jIyNB4yfXpp5/C09MTZmZmCAgIwOnTp2vsv3v3bnh5ecHMzAy+vr44cOCAxvaCggJMnjwZLVq0gLm5Oby9vat841hxcTEmTZqE5s2bw9LSEkOHDkVOTo7s2ImIiIhIf2QXsr///juefvppmJubw8PDA61atUKrVq3g6emJVq1ayTrWrl27EB4ejnnz5iEhIQF+fn4IDg5Gbm6u1v5xcXEYMWIExo0bh3PnziEkJAQhISG4ePGi1Cc8PBzR0dHYvn07fvvtN0yfPh2TJ0/G3r17pT5vv/029u3bh927d+PYsWPIzMzEkCFD5KaCiIiIiPRIdiE7evRoKJVK7N+/H2fPnkVCQgISEhJw7tw5JCQkyDrWypUrMWHCBIwZM0aaObWwsMCmTZu09l+9ejX69euHiIgIdOjQAYsWLUKXLl3wySefSH3i4uIQGhqKZ599Fp6enpg4cSL8/Pykmd68vDxs3LgRK1euRO/eveHv74/NmzcjLi4OJ0+elJsOIiIiItIT2WtkExMTcfbsWXh5eT3SwKWlpTh79iwiIyOlNqVSiaCgIMTHx2vdJz4+HuHh4RptwcHB2LNnj/S5Z8+e2Lt3L8aOHQs3NzccPXoUly9fxkcffQQAOHv2LMrKyhAUFCTt4+XlhZYtWyI+Ph49evTQOnZJSQlKSkqkz5XPzFWr1VCr1fJOXqbK49f3OE0F8yUP8yUP8yUP8yUP8yUP86U7Q8qVnBhlF7Le3t64ceOG3N2quHHjBioqKuDs7KzR7uzsjEuXLmndJzs7W2v/7Oxs6fOaNWswceJEtGjRAkZGRlAqldiwYQOeeeYZ6RgmJiawtbWt8TgPioqKwoIFC6q0p6enw8LCosZzrSvp6ekNMk5TwXzJw3zJw3zJw3zJw3zJw3zpzhByVVRUpHNf2YXshx9+iH/+859YsmQJfH19YWxsrLHd2tpa7iHr1Jo1a3Dy5Ens3bsXHh4eOH78OCZNmgQ3NzeNWVi5IiMjNWaD8/Pz4e7uDg8PD1haWtZF6NVSq9VIT0+Hh4cHlMqHvj/vb4P5kof5kof5kof5kof5kof50p0h5aqgoEDnvrIL2cpisE+fPhrtQggoFApUVFTodBwHBweoVKoqTwvIycmBi4uL1n1cXFxq7H/v3j3MmjUL33//vfR4sI4dOyIxMRHLly9HUFAQXFxcUFpaijt37mjMytY0LgCYmprC1NS0SrtSqWywC6Ihx2oKmC95mC95mC95mC95mC95mC/dGUKu5MQnu5A9cuSI3F20MjExgb+/P2JjYxESEgLg/m8LsbGxmDx5stZ9AgMDERsbi+nTp0ttMTExCAwMBACUlZWhrKysSgJUKpW03sLf3x/GxsaIjY3F0KFDAQApKSnIyMiQjkNEREREjZ/sQrYuv70rPDwcoaGh6Nq1K7p3745Vq1ahsLAQY8aMAQCMGjUKjz32GKKiogAA06ZNQ69evbBixQoMGDAAO3fuxJkzZ7B+/XoA95c19OrVCxEREdLjwY4dO4Zt27Zh5cqVAAAbGxuMGzcO4eHhsLe3h7W1NaZMmYLAwMBqb/QiIiIiosZHdiF7/PjxGrdX3lSli+HDh+PPP//E3LlzkZ2djU6dOiE6Olq6oSsjI0NjdrVnz57YsWMHZs+ejVmzZqFdu3bYs2cPfHx8pD47d+5EZGQkRo4ciVu3bsHDwwPvv/8+wsLCpD4fffQRlEolhg4dipKSEgQHB+Nf//qXznETERERkf4phBBCzg7a1i0oFArpva5rZA1dfn4+bGxsEB8f3yA3e6WlpaFVq1aNfl1LY8B8ycN8ycN8ycN8ycN8ycN86c6QclVQUIDAwEDk5eXV+hAB2Wdy+/ZtjVdubi6io6PRrVs3/Pvf/37ooImIiIiI5JC9tMDGxqZK2/PPPw8TExOEh4fj7NmzdRIYEREREVFNZBey1XF2dkZKSkpdHY7+n7qiAnfv3UZR6V3cLbrV6P8c0Bio1WrmSwbmSx7mSx7mSx7mSx7mS3d1latmpjZQqlR1GNmjkV3IJiUlaXwWQiArKwsffPABOnXqVFdx0f8rLMlDWMqU+x/4e4I8zJc8zJc8zJc8zJc8zJc8zJfuHjFX6zt8CisL+7qJpQ7ILmQ7deoEhUKBB+8R69GjBzZt2lRngRERERER1UR2IZuWlqbxWalUwtHREWZmZnUWFP1PM1MbrGu/BhnX/ouW7i34pxMdqNVq5ksG5kse5kse5kse5kse5kt3dZWrZqZV75XSJ50KWXt7e1y+fBkODg5YsGABVq9eDSsrq/qOjQAoVSpYWdjDwiQPVhb2/EHVgVqtZr5kYL7kYb7kYb7kYb7kYb5011RzpdOZlJaWIj8/HwCwdetWFBcX12tQRERERES10WlGNjAwECEhIfD394cQAlOnToW5ubnWvlwnS0REREQNQadCdvv27fjoo4+QmpoKhUKBvLw8zsoSERERkV7pVMg6Ozvjgw8+AAC0atUKX3zxBZo3b16vgRERERER1eSRn1pARERERKQPTee2NSIiIiL6W2EhS0REREQGiYUsERERERkkFrJEREREZJAeqpBNTU3F7NmzMWLECOTm5gIAfvrpJ/z66691GhwRERERUXVkF7LHjh2Dr68vTp06he+++w4FBQUAgPPnz2PevHl1HiARERERkTayC9mZM2di8eLFiImJgYmJidTeu3dvnDx5sk6DIyIiIiKqjuxC9sKFC3jppZeqtDs5OeHGjRt1EhQRERERUW1kF7K2trbIysqq0n7u3Dk89thjdRIUEREREVFtZBey//jHP/Duu+8iOzsbCoUCarUaP//8M2bMmIFRo0bVR4xERERERFXILmSXLFkCLy8vuLu7o6CgAN7e3njmmWfQs2dPzJ49uz5iJCIiIiKqwkjuDiYmJtiwYQPmzp2LCxcuoKCgAJ07d0a7du3qIz4iIiIiIq1kF7KV3N3d4e7ujoqKCly4cAG3b9+GnZ1dXcZGRERERFQt2UsLpk+fjo0bNwIAKioq0KtXL3Tp0gXu7u44evRoXcdHRERERKSV7EL2m2++gZ+fHwBg3759uHr1Ki5duoS3334b7733Xp0HSERERESkjexC9saNG3BxcQEAHDhwAK+88goef/xxjB07FhcuXKjzAImIiIiItJFdyDo7OyM5ORkVFRWIjo7G888/DwAoKiqCSqWq8wCJiIiIiLSRfbPXmDFj8Morr8DV1RUKhQJBQUEAgFOnTsHLy6vOAyQiIiIi0kZ2ITt//nz4+Pjg2rVrGDZsGExNTQEAKpUKM2fOrPMAiYiIiIi0eajHb7388stV2kJDQx85GCIiIiIiXT1UIVtYWIhjx44hIyMDpaWlGtumTp1aJ4EREREREdVEdiF77tw5vPDCCygqKkJhYSHs7e1x48YNWFhYwMnJiYUsERERETUI2U8tePvttzFw4EDcvn0b5ubmOHnyJNLT0+Hv74/ly5fXR4xERERERFXILmQTExPxzjvvQKlUQqVSoaSkBO7u7li6dClmzZpVHzESEREREVUhu5A1NjaGUnl/NycnJ2RkZAAAbGxscO3atbqNjoiIiIioGrLXyHbu3Bm//PIL2rVrh169emHu3Lm4ceMGvvjiC/j4+NRHjEREREREVciekV2yZAlcXV0BAO+//z7s7Ozw5ptv4s8//8T69evrPEAiIiIiIm1kz8h27dpVeu/k5ITo6Og6DYiIiIiISBeyZ2SJiIiIiBoD2YVsTk4OXn/9dbi5ucHIyAgqlUrjJdenn34KT09PmJmZISAgAKdPn66x/+7du+Hl5QUzMzP4+vriwIEDGtsVCoXW17Jly6Q+ly9fxuDBg+Hg4ABra2s89dRTOHLkiOzYiYiIiEh/ZC8tGD16NDIyMjBnzhy4urpCoVA89OC7du1CeHg41q1bh4CAAKxatQrBwcFISUmBk5NTlf5xcXEYMWIEoqKi8OKLL2LHjh0ICQlBQkKCdKNZVlaWxj4//fQTxo0bh6FDh0ptL774Itq1a4fDhw/D3Nwcq1atwosvvojU1FS4uLg89PkQERERUcNRCCGEnB2srKxw4sQJdOrU6ZEHDwgIQLdu3fDJJ58AANRqNdzd3TFlyhTMnDmzSv/hw4ejsLAQ+/fvl9p69OiBTp06Yd26dVrHCAkJwd27dxEbGwsAuHHjBhwdHXH8+HE8/fTTAIC7d+/C2toaMTExCAoK0in2/Px82NjYID4+HpaWlrLOWy61Wo20tDS0atVKevQZVY/5kof5kof5kof5kof5kof50p0h5aqgoACBgYHIy8uDtbV1jX1lz8i6u7tDZu2rVWlpKc6ePYvIyEipTalUIigoCPHx8Vr3iY+PR3h4uEZbcHAw9uzZo7V/Tk4OfvzxR2zdulVqa968Odq3b49t27ahS5cuMDU1xWeffQYnJyf4+/tXG29JSQlKSkqkz/n5+QDuXxhqtbrW830Ulcev73GaCuZLHuZLHuZLHuZLHuZLHuZLd4aUKzkxyi5kV61ahZkzZ+Kzzz6Dp6en3N0lN27cQEVFBZydnTXanZ2dcenSJa37ZGdna+2fnZ2ttf/WrVthZWWFIUOGSG0KhQKHDh1CSEgIrKysoFQqpacv2NnZVRtvVFQUFixYUKU9PT0dFhYW1e5Xl9LT0xtknKaC+ZKH+ZKH+ZKH+ZKH+ZKH+dKdIeSqqKhI5746FbJ2dnYaa2ELCwvRpk0bWFhYwNjYWKPvrVu3dB68vm3atAkjR46EmZmZ1CaEwKRJk+Dk5IQTJ07A3Nwcn3/+OQYOHIhffvlFekbugyIjIzVmg/Pz8+Hu7g4PD48GWVqQnp4ODw+PRv/ngMaA+ZKH+ZKH+ZKH+ZKH+ZKH+dKdIeWqoKBA5746FbKrVq162Fiq5eDgAJVKhZycHI32nJycam+4cnFx0bn/iRMnkJKSgl27dmm0Hz58GPv378ft27eldRf/+te/EBMTg61bt2pdmwsApqamMDU1rdKuVCob7IJoyLGaAuZLHuZLHuZLHuZLHuZLHuZLd4aQKznx6VTIhoaGPnQw1TExMYG/vz9iY2MREhIC4P5vC7GxsZg8ebLWfQIDAxEbG4vp06dLbTExMQgMDKzSd+PGjfD394efn59Ge+V09YNJUiqVBrFuhIiIiIju07nkVavV+PDDD/Hkk0+iW7dumDlzJu7du/dIg4eHh2PDhg3YunUrfvvtN7z55psoLCzEmDFjAACjRo3SuBls2rRpiI6OxooVK3Dp0iXMnz8fZ86cqVL45ufnY/fu3Rg/fnyVMQMDA2FnZ4fQ0FCcP38ely9fRkREBNLS0jBgwIBHOh8iIiIiajg6F7Lvv/8+Zs2aBUtLSzz22GNYvXo1Jk2a9EiDDx8+HMuXL8fcuXPRqVMnJCYmIjo6WrqhKyMjQ+O5sD179sSOHTuwfv16+Pn54ZtvvsGePXukZ8hW2rlzJ4QQGDFiRJUxHRwcEB0djYKCAvTu3Rtdu3bFf/7zH/zwww9VZm+JiIiIqPHS+Tmy7dq1w4wZM/DGG28AAA4dOoQBAwbg3r17jX6tRX3gc2QbL+ZLHuZLHuZLHuZLHuZLHuZLd4aUKznPkdX5TDIyMvDCCy9In4OCgqBQKJCZmfnwkRIRERERPSSdC9ny8nKNx1gBgLGxMcrKyuo8KCIiIiKi2uj8hQhCCIwePVrjEVTFxcUICwtDs2bNpLbvvvuubiMkIiIiItJC50JW2yO4XnvttToNhoiIiIhIVzoXsps3b67POIiIiIiIZGnct60REREREVWDhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFB0nsh++mnn8LT0xNmZmYICAjA6dOna+y/e/dueHl5wczMDL6+vjhw4IDGdoVCofW1bNkyjX4//vgjAgICYG5uDjs7O4SEhNT1qRERERFRPdJrIbtr1y6Eh4dj3rx5SEhIgJ+fH4KDg5Gbm6u1f1xcHEaMGIFx48bh3LlzCAkJQUhICC5evCj1ycrK0nht2rQJCoUCQ4cOlfp8++23eP311zFmzBicP38eP//8M1599dV6P18iIiIiqjt6LWRXrlyJCRMmYMyYMfD29sa6detgYWGBTZs2ae2/evVq9OvXDxEREejQoQMWLVqELl264JNPPpH6uLi4aLx++OEHPPfcc2jdujUAoLy8HNOmTcOyZcsQFhaGxx9/HN7e3njllVca5JyJiIiIqG4Y6Wvg0tJSnD17FpGRkVKbUqlEUFAQ4uPjte4THx+P8PBwjbbg4GDs2bNHa/+cnBz8+OOP2Lp1q9SWkJCA69evQ6lUonPnzsjOzkanTp2wbNky+Pj4VBtvSUkJSkpKpM/5+fkAALVaDbVaXev5PorK49f3OE0F8yUP8yUP8yUP8yUP8yUP86U7Q8qVnBj1VsjeuHEDFRUVcHZ21mh3dnbGpUuXtO6TnZ2ttX92drbW/lu3boWVlRWGDBkitV29ehUAMH/+fKxcuRKenp5YsWIFnn32WVy+fBn29vZajxUVFYUFCxZUaU9PT4eFhUX1J1qH0tPTG2ScpoL5kof5kof5kof5kof5kof50p0h5KqoqEjnvnorZBvCpk2bMHLkSJiZmUltlVX+e++9J62b3bx5M1q0aIHdu3fjjTfe0HqsyMhIjdng/Px8uLu7w8PDA5aWlvV4FvdjTk9Ph4eHB5RKvd+f1+gxX/IwX/IwX/IwX/IwX/IwX7ozpFwVFBTo3FdvhayDgwNUKhVycnI02nNycuDi4qJ1HxcXF537nzhxAikpKdi1a5dGu6urKwDA29tbajM1NUXr1q2RkZFRbbympqYwNTWt0q5UKhvsgmjIsZoC5kse5kse5kse5kse5kse5kt3hpArOfHp7UxMTEzg7++P2NhYqU2tViM2NhaBgYFa9wkMDNToDwAxMTFa+2/cuBH+/v7w8/PTaPf394epqSlSUlKktrKyMvzxxx/w8PB4lFMiIiIiogak16UF4eHhCA0NRdeuXdG9e3esWrUKhYWFGDNmDABg1KhReOyxxxAVFQUAmDZtGnr16oUVK1ZgwIAB2LlzJ86cOYP169drHDc/Px+7d+/GihUrqoxpbW2NsLAwzJs3T1oaUPmM2WHDhtXzGRMRERFRXdFrITt8+HD8+eefmDt3rvT0gOjoaOmGroyMDI3p5Z49e2LHjh2YPXs2Zs2ahXbt2mHPnj1Vnjawc+dOCCEwYsQIreMuW7YMRkZGeP3113Hv3j0EBATg8OHDsLOzq7+TJSIiIqI6pRBCCH0HYYjy8/NhY2OD+Pj4BrnZKy0tDa1atWr061oaA+ZLHuZLHuZLHuZLHuZLHuZLd4aUq4KCAgQGBiIvLw/W1tY19m3cZ0JEREREVA0WskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQWskRERERkkFjIEhEREZFBYiFLRERERAaJhSwRERERGSQjfQdgqIQQAIDCwsJ6H0utVqOoqAgFBQVQKvm7R22YL3mYL3mYL3mYL3mYL3mYL90ZUq4qa6vKWqsmLGQf0t27dwEAQUFBeo6EiIiIqOm5e/cubGxsauyjELqUu1SFWq1GZmYmrKysoFAo6nWs/Px8uLu749q1a7C2tq7XsZoC5kse5kse5kse5kse5kse5kt3hpQrIQTu3r0LNze3WmePOSP7kJRKJVq0aNGgY1pbWzf6i68xYb7kYb7kYb7kYb7kYb7kYb50Zyi5qm0mtlLjXiRBRERERFQNFrJEREREZJBYyBoAU1NTzJs3D6ampvoOxSAwX/IwX/IwX/IwX/IwX/IwX7prqrnizV5EREREZJA4I0tEREREBomFLBEREREZJBayRERERGSQWMgagE8//RSenp4wMzNDQEAATp8+re+Q9C4qKgrdunWDlZUVnJycEBISgpSUFI0+zz77LBQKhcYrLCxMTxHr1/z586vkwsvLS9peXFyMSZMmoXnz5rC0tMTQoUORk5Ojx4j1y9PTs0q+FAoFJk2aBIDX1vHjxzFw4EC4ublBoVBgz549GtuFEJg7dy5cXV1hbm6OoKAg/P777xp9bt26hZEjR8La2hq2trYYN24cCgoKGvAsGk5N+SorK8O7774LX19fNGvWDG5ubhg1ahQyMzM1jqHtmvzggw8a+EwaRm3X1+jRo6vkol+/fhp9eH39j7Z/yxQKBZYtWyb1MeTri4VsI7dr1y6Eh4dj3rx5SEhIgJ+fH4KDg5Gbm6vv0PTq2LFjmDRpEk6ePImYmBiUlZWhb9++0vczV5owYQKysrKk19KlS/UUsf498cQTGrn4z3/+I217++23sW/fPuzevRvHjh1DZmYmhgwZosdo9euXX37RyFVMTAwAYNiwYVKfv/O1VVhYCD8/P3z66adaty9duhQff/wx1q1bh1OnTqFZs2YIDg5GcXGx1GfkyJH49ddfERMTg/379+P48eOYOHFiQ51Cg6opX0VFRUhISMCcOXOQkJCA7777DikpKRg0aFCVvgsXLtS45qZMmdIQ4Te42q4vAOjXr59GLr766iuN7by+/uevecrKysKmTZugUCgwdOhQjX4Ge30JatS6d+8uJk2aJH2uqKgQbm5uIioqSo9RNT65ubkCgDh27JjU1qtXLzFt2jT9BdWIzJs3T/j5+WnddufOHWFsbCx2794ttf32228CgIiPj2+gCBu3adOmiTZt2gi1Wi2E4LX1VwDE999/L31Wq9XCxcVFLFu2TGq7c+eOMDU1FV999ZUQQojk5GQBQPzyyy9Sn59++kkoFApx/fr1BotdHx7MlzanT58WAER6errU5uHhIT766KP6Da4R0pav0NBQMXjw4Gr34fX1fY19Bg8eLHr37q3RZsjXF2dkG7HS0lKcPXsWQUFBUptSqURQUBDi4+P1GFnjk5eXBwCwt7fXaP/yyy/h4OAAHx8fREZGoqioSB/hNQq///473Nzc0Lp1a4wcORIZGRkAgLNnz6KsrEzjOvPy8kLLli15neH+z+H27dsxduxYKBQKqZ3XlnZpaWnIzs7WuJ5sbGwQEBAgXU/x8fGwtbVF165dpT5BQUFQKpU4depUg8fc2OTl5UGhUMDW1laj/YMPPkDz5s3RuXNnLFu2DOXl5foJsBE4evQonJyc0L59e7z55pu4efOmtI3XV/VycnLw448/Yty4cVW2Ger1ZaTvAKh6N27cQEVFBZydnTXanZ2dcenSJT1F1fio1WpMnz4dTz75JHx8fKT2V199FR4eHnBzc0NSUhLeffddpKSk4LvvvtNjtPoREBCALVu2oH379sjKysKCBQvw9NNP4+LFi8jOzoaJiUmV/9N0dnZGdna2fgJuRPbs2YM7d+5g9OjRUhuvrepVXjPa/t2q3JadnQ0nJyeN7UZGRrC3t//bX3PFxcV49913MWLECFhbW0vtU6dORZcuXWBvb4+4uDhERkYiKysLK1eu1GO0+tGvXz8MGTIErVq1QmpqKmbNmoX+/fsjPj4eKpWK11cNtm7dCisrqypLxwz5+mIhSwZv0qRJuHjxosaaTwAa66F8fX3h6uqKPn36IDU1FW3atGnoMPWqf//+0vuOHTsiICAAHh4e+Prrr2Fubq7HyBq/jRs3on///nBzc5PaeG1RfSgrK8Mrr7wCIQTWrl2rsS08PFx637FjR5iYmOCNN95AVFRUk/umptr84x//kN77+vqiY8eOaNOmDY4ePYo+ffroMbLGb9OmTRg5ciTMzMw02g35+uLSgkbMwcEBKpWqyt3jOTk5cHFx0VNUjcvkyZOxf/9+HDlyBC1atKixb0BAAADgypUrDRFao2Zra4vHH38cV65cgYuLC0pLS3Hnzh2NPrzOgPT0dBw6dAjjx4+vsR+vrf+pvGZq+nfLxcWlyg2r5eXluHXr1t/2mqssYtPT0xETE6MxG6tNQEAAysvL8ccffzRMgI1Y69at4eDgIP388frS7sSJE0hJSan13zPAsK4vFrKNmImJCfz9/REbGyu1qdVqxMbGIjAwUI+R6Z8QApMnT8b333+Pw4cPo1WrVrXuk5iYCABwdXWt5+gav4KCAqSmpsLV1RX+/v4wNjbWuM5SUlKQkZHxt7/ONm/eDCcnJwwYMKDGfry2/qdVq1ZwcXHRuJ7y8/Nx6tQp6XoKDAzEnTt3cPbsWanP4cOHoVarpV8K/k4qi9jff/8dhw4dQvPmzWvdJzExEUqlssqf0P+O/vvf/+LmzZvSzx+vL+02btwIf39/+Pn51drXoK4vfd9tRjXbuXOnMDU1FVu2bBHJycli4sSJwtbWVmRnZ+s7NL168803hY2NjTh69KjIysqSXkVFRUIIIa5cuSIWLlwozpw5I9LS0sQPP/wgWrduLZ555hk9R64f77zzjjh69KhIS0sTP//8swgKChIODg4iNzdXCCFEWFiYaNmypTh8+LA4c+aMCAwMFIGBgXqOWr8qKipEy5YtxbvvvqvRzmtLiLt374pz586Jc+fOCQBi5cqV4ty5c9Jd9h988IGwtbUVP/zwg0hKShKDBw8WrVq1Evfu3ZOO0a9fP9G5c2dx6tQp8Z///Ee0a9dOjBgxQl+nVK9qyldpaakYNGiQaNGihUhMTNT496ykpEQIIURcXJz46KOPRGJiokhNTRXbt28Xjo6OYtSoUXo+s/pRU77u3r0rZsyYIeLj40VaWpo4dOiQ6NKli2jXrp0oLi6WjsHr65zGUy/y8vKEhYWFWLt2bZX9Df36YiFrANasWSNatmwpTExMRPfu3cXJkyf1HZLeAdD62rx5sxBCiIyMDPHMM88Ie3t7YWpqKtq2bSsiIiJEXl6efgPXk+HDhwtXV1dhYmIiHnvsMTF8+HBx5coVafu9e/fEW2+9Jezs7ISFhYV46aWXRFZWlh4j1r+DBw8KACIlJUWjndeWEEeOHNH68xcaGiqEuP8Irjlz5ghnZ2dhamoq+vTpUyWPN2/eFCNGjBCWlpbC2tpajBkzRty9e1cPZ1P/aspXWlpatf+eHTlyRAghxNmzZ0VAQICwsbERZmZmokOHDmLJkiUahVtTUlO+ioqKRN++fYWjo6MwNjYWHh4eYsKECVUmd3h9/e/nUQghPvvsM2Fubi7u3LlTZX9Dv74UQghRr1O+RERERET1gGtkiYiIiMggsZAlIiIiIoPEQpaIiIiIDBILWSIiIiIySCxkiYiIiMggsZAlIiIiIoPEQpaIiIiIDBILWSIiIiIySCxkiYj0ZPTo0QgJCXnk46SkpMDFxQV3796tts+WLVtga2v7yGM1BuvWrcPAgQP1HQYRNQIsZImItIiPj4dKpcKAAQP0HUqtIiMjMWXKFFhZWek7lAYxduxYJCQk4MSJE/oOhYj0jIUsEZEWGzduxJQpU3D8+HFkZmbqO5xqZWRkYP/+/Rg9erS+QwEAlJWV1fsYJiYmePXVV/Hxxx/X+1hE1LixkCUiekBBQQF27dqFN998EwMGDMCWLVs0th89ehQKhQKxsbHo2rUrLCws0LNnT6SkpGj0W7x4MZycnGBlZYXx48dj5syZ6NSpU7XjqtVqREVFoVWrVjA3N4efnx+++eabGmP9+uuv4efnh8cee0yjfcuWLWjZsiUsLCzw0ksv4ebNm1X2/eGHH9ClSxeYmZmhdevWWLBgAcrLy6Xtly5dwlNPPQUzMzN4e3vj0KFDUCgU2LNnDwDgjz/+gEKhwK5du9CrVy+YmZnhyy+/BAB8/vnn6NChA8zMzODl5YV//etfGmNfu3YNr7zyCmxtbWFvb4/Bgwfjjz/+0Mhx9+7d0axZM9ja2uLJJ59Eenq6tH3gwIHYu3cv7t27V2N+iKiJE0REpGHjxo2ia9euQggh9u3bJ9q0aSPUarW0/ciRIwKACAgIEEePHhW//vqrePrpp0XPnj2lPtu3bxdmZmZi06ZNIiUlRSxYsEBYW1sLPz8/qU9oaKgYPHiw9Hnx4sXCy8tLREdHi9TUVLF582Zhamoqjh49Wm2sgwYNEmFhYRptJ0+eFEqlUnz44YciJSVFrF69Wtja2gobGxupz/Hjx4W1tbXYsmWLSE1NFf/+97+Fp6enmD9/vhBCiPLyctG+fXvx/PPPi8TERHHixAnRvXt3AUB8//33Qggh0tLSBADh6ekpvv32W3H16lWRmZkptm/fLlxdXaW2b7/9Vtjb24stW7YIIYQoLS0VHTp0EGPHjhVJSUkiOTlZvPrqq6J9+/aipKRElJWVCRsbGzFjxgxx5coVkZycLLZs2SLS09Ol+AsLC4VSqRRHjhzR6b8pETVNLGSJiB7Qs2dPsWrVKiGEEGVlZcLBwUGjYKosZA8dOiS1/fjjjwKAuHfvnhBCiICAADFp0iSN4z755JPVFrLFxcXCwsJCxMXFaewzbtw4MWLEiGpj9fPzEwsXLtRoGzFihHjhhRc02oYPH65RyPbp00csWbJEo88XX3whXF1dhRBC/PTTT8LIyEhkZWVJ22NiYrQWspW5qtSmTRuxY8cOjbZFixaJwMBAaZz27dtr/HJQUlIizM3NxcGDB8XNmzcFgBoLeCGEsLOzk4pjIvp74tICIqK/SElJwenTpzFixAgAgJGREYYPH46NGzdW6duxY0fpvaurKwAgNzdXOk737t01+j/4+a+uXLmCoqIiPP/887C0tJRe27ZtQ2pqarX73bt3D2ZmZhptv/32GwICAjTaAgMDNT6fP38eCxcu1BhrwoQJyMrKQlFREVJSUuDu7g4XF5da4+/atav0vrCwEKmpqRg3bpzGsRcvXiydx/nz53HlyhVYWVlJ2+3t7VFcXIzU1FTY29tj9OjRCA4OxsCBA7F69WpkZWVVGdfc3BxFRUXV5oaImj4jfQdARNSYbNy4EeXl5XBzc5PahBAwNTXFJ598AhsbG6nd2NhYeq9QKADcX+f6MAoKCgAAP/74Y5X1rqamptXu5+DggNu3bz/UeAsWLMCQIUOqbHuwMK5Ns2bNNI4LABs2bKhSTKtUKqmPv7+/tJ72rxwdHQEAmzdvxtSpUxEdHY1du3Zh9uzZiImJQY8ePaS+t27dkvoT0d8TC1kiov9XXl6Obdu2YcWKFejbt6/GtpCQEHz11VcICwvT6Vjt27fHL7/8glGjRkltv/zyS7X9vb29YWpqioyMDPTq1UvnmDt37ozk5GSNtg4dOuDUqVMabSdPntT43KVLF6SkpKBt27bVxn/t2jXk5OTA2dm51vgrOTs7w83NDVevXsXIkSO19unSpQt27doFJycnWFtb13hunTt3RmRkJAIDA7Fjxw6pkE1NTUVxcTE6d+5ca0xE1HSxkCUi+n/79+/H7du3MW7cOI2ZVwAYOnQoNm7cqHMhO2XKFEyYMAFdu3ZFz549sWvXLiQlJaF169Za+1tZWWHGjBl4++23oVar8dRTTyEvLw8///wzrK2tERoaqnW/4OBgjB8/HhUVFdKM59SpU/Hkk09i+fLlGDx4MA4ePIjo6GiN/ebOnYsXX3wRLVu2xMsvvwylUonz58/j4sWLWLx4MZ5//nm0adMGoaGhWLp0Ke7evYvZs2cD+N/sc3UWLFiAqVOnwsbGBv369UNJSQnOnDmD27dvIzw8HCNHjsSyZcswePBgLFy4EC1atEB6ejq+++47/POf/0RZWRnWr1+PQYMGwc3NDSkpKfj99981fik4ceIEWrdujTZt2uj034OImih9L9IlImosXnzxxSo3SVU6deqUACDOnz8v3ex1+/Ztafu5c+cEAJGWlia1LVy4UDg4OAhLS0sxduxYMXXqVNGjRw9p+4NPLVCr1WLVqlWiffv2wtjYWDg6Oorg4GBx7NixamMuKysTbm5uIjo6WqN948aNokWLFsLc3FwMHDhQLF++XONmLyGEiI6OFj179hTm5ubC2tpadO/eXaxfv17a/ttvv4knn3xSmJiYCC8vL7Fv3z4BQBqr8mavc+fOVYnryy+/FJ06dRImJibCzs5OPPPMM+K7776TtmdlZYlRo0YJBwcHYWpqKlq3bi0mTJgg8vLyRHZ2tggJCRGurq7CxMREeHh4iLlz54qKigpp/759+4qoqKhq80JEfw8KIYTQayVNRPQ38fzzz8PFxQVffPFFnR73008/xd69e3Hw4ME6Pe6Dfv75Zzz11FO4cuWKXmdCf/31V/Tu3RuXL1+uMnNORH8vXFpARFQPioqKsG7dOgQHB0OlUuGrr77CoUOHEBMTU+djvfHGG7hz5w7u3r1bp19T+/3338PS0hLt2rXDlStXMG3aNDz55JN6/3N+VlYWtm3bxiKWiMAZWSKienDv3j0MHDgQ586dQ3FxMdq3b4/Zs2drfUpAY7Vt2zYsXrwYGRkZcHBwQFBQEFasWIHmzZvrOzQiIgAsZImIiIjIQPELEYiIiIjIILGQJSIiIiKDxEKWiIiIiAwSC1kiIiIiMkgsZImIiIjIILGQJSIiIiKDxEKWiIiIiAwSC1kiIiIiMkgsZImIiIjIIP0fGEI9YfOtpw8AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 1 #Phase function defined explicitly\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NWAVE = 121 #Number of spectral points\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "wavel = np.linspace(0.5,5.,NWAVE)\n", "theta = np.linspace(0.,180.,NTHETA)\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 5 #Isotropic scattering phase function\n", "pars = np.array([]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Calculating the actual phase function, although since it is defined explicitly we could call it directly from PHASE\n", "######################################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase = Scatter.calc_phase(theta,Scatter.WAVE)\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "Scatter.check_phase_norm()\n" ] }, { "cell_type": "markdown", "id": "0255183a-2ead-4f66-92ee-bbacf06d285b", "metadata": {}, "source": [ "### 7. Calculating a double Henyey-Greenstein phase function\n", "\n", "The *Makephase* function also allows us to define the phase function using a double H-G parameterisation. The double Henyey-Greenstein phase function is defined as \n", "\n", "\\begin{equation}\n", "P(\\theta) = f \\cdot P_{HG}(g_1,\\theta) + (1-f) \\cdot P_{HG}(g_2,\\theta),\n", "\\end{equation}\n", "\n", "\\begin{equation}\n", "P_{HG}(g,\\theta) = \\dfrac{1}{4\\pi} \\dfrac{1-g^2}{(1 - 2g\\cos{\\theta} + g^2)^{3/2}},\n", "\\end{equation}\n", "\n", "where $g_1$ and $g_2$ represent the parameters for the two Henyey-Greenstein functions (negative values for backward scattering) and $f$ is the relative weight of the two functions.\n", "\n", "In practice, we can define it directly just setting *IMIE* = 0 by changing the parameters *F*, *G1* and *G2* in the Scatter class. However, we can also use this in *Makephase* to test whether the fit of the fit of the double H-G phase that happens internally in *Makephase* is accurate or not (i.e., we should be getting the same values from *Makephase* as the ones we were defining in the inputs). \n", "\n", "Similar to the previous case, we are not using Mie Theory, so we are just defining the phase function of the particles. Therefore, while this mode will change the parameters in the Scatter class defining the phase function (i.e., either *G1*, *G2*, and *F* if *IMIE* = 0, or *PHASE* if *IMIE* = 1, etc.), it will not change the other parameters defining the optical properties (i.e., *KEXT*, *SGLALB*, etc.). " ] }, { "cell_type": "code", "execution_count": null, "id": "a8637e3f-4b2c-4780-827a-2bfee35d6f04", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0002291774747776\n", "Maximum integral of phase function is 1.0002291774747776\n", "The correct input values to Makephase are : F = 0.5 G1 = 0.7 G2 = -0.3\n", "The output values from the double H-G fit in Makephase are : F = 0.49999999999999994 G1 = 0.6999999999999998 G2 = -0.3\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 0 #Phase function defined explicitly\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NWAVE = 121 #Number of spectral points\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "wavel = np.linspace(0.5,5.,NWAVE)\n", "theta = np.linspace(0.,180.,NTHETA)\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 6 #Double Henyey-Greenstein phase function\n", "f = 0.5 ; g1 = 0.7 ; g2 = -0.3\n", "pars = np.array([f,g1,g2]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Calculating the actual phase function, although since it is defined explicitly we could call it directly from PHASE\n", "######################################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase = Scatter.calc_phase(theta,Scatter.WAVE)\n", "\n", "\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "print(f\"The correct input values to Makephase are : F = {(f,'G1 = ',g1,'G2 = ',g2)}\")\n", "print(f\"The output values from the double H-G fit in Makephase are : F = {(Scatter.F[0,idust],'G1 = ',Scatter.G1[0,idust],'G2 = ',Scatter.G2[0,idust])}\")\n", "\n" ] }, { "cell_type": "markdown", "id": "ff1b8225-437f-4e20-9da4-805fca24f394", "metadata": {}, "source": [ "## 8. Calculating the optical properties for dipole scattering\n", "\n", "In archNEMESIS we can also estimate the optical properties for the aerosols following dipole scattering. This type of scattering may be used when the diameter of the scattering dielectric spheres is much lower than the wavelength of the light. For such an object, the incoming wave is effectively a spatially constant, but time-oscillating, electric field, and assuming the sphere's electric response is much faster than the wave oscillation time, we can use the electrostatic result derived long ago, that the incoming field will induce a dipole.\n", "\n", "In this example, we are going to test this type of scattering calculations using the particles with r$_0$ = 0.01 $\\mu$m. " ] }, { "cell_type": "code", "execution_count": 15, "id": "fbaa3f7f-3d95-41bc-bedc-8aa7248daf21", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000253838183915\n", "Maximum integral of phase function is 1.0000253838183915\n", "0.30590441194309226 -0.30599508288984323\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000070952242148\n", "Maximum integral of phase function is 1.0000070952242148\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 0 #Phase function defined using a double Henyey Greenstein function\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NWAVE = 51 #Number of spectral points\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "wavel = np.linspace(0.5,5.0,NWAVE)\n", "theta = np.linspace(0.,180.,NTHETA)\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Reading the refractive index from the dictionary (Solution of water and sulphuric acid)\n", "Scatter.read_refind(1)\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 7 #Dipole scattering\n", "r0 = 0.01\n", "pars = np.array([r0]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Making a summary plot\n", "#################################################################################################\n", "\n", "#Plotting the extinction coefficient and single scattering albedo and the double HG parameters\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(12,3))\n", "\n", "ax1.plot(Scatter.WAVE,Scatter.KEXT[:,idust])\n", "ax1.grid()\n", "ax1.set_ylabel('Extinction coefficient (cm$^2$)')\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_facecolor('lightgray')\n", "\n", "ax2.plot(Scatter.WAVE,Scatter.SGLALB[:,idust])\n", "ax2.grid()\n", "ax2.set_ylabel('Single scattering albedo')\n", "ax2.set_xlabel('Wavelength ($\\mu$m)')\n", "ax2.set_facecolor('lightgray')\n", "\n", "\n", "ax3.plot(Scatter.WAVE,Scatter.G1[:,idust],label='g$_1$')\n", "ax3.plot(Scatter.WAVE,Scatter.G2[:,idust],label='g$_2$')\n", "ax3.plot(Scatter.WAVE,Scatter.F[:,idust],label='F')\n", "ax3.grid()\n", "ax3.legend(loc='lower left')\n", "ax3.set_ylabel('Henyey-Greenstein parameters')\n", "ax3.set_xlabel('Wavelength ($\\mu$m)')\n", "ax3.set_facecolor('lightgray')\n", "\n", "plt.tight_layout()\n", "\n", "print(Scatter.G1[0,0],Scatter.G2[0,0])\n", "\n", "#Calculating the actual phase function from our double HG parameterisation\n", "##################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase_hg = Scatter.calc_phase(theta,Scatter.WAVE)\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase_hg[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase_hg[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase_hg[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "Scatter.check_phase_norm()\n" ] }, { "cell_type": "markdown", "id": "a0dc4c88-adc4-4a84-999f-c8115bba4995", "metadata": {}, "source": [ "### Checking the accuracy of the choice of IMIE\n", "\n", "As mentioned in the introduction, what *Makephase* calculates is the phase function at a given set of specified angles. When we select *IMIE* = 0 or 2 in the Scatter class, the program will fit the calculated phase function with a double Henyey-Greenstein function or a combination of Legendre polynomials. However, it is recommended to check the validity of these approximations since we may find cases in which our phase function cannot be accurately reproduced by a double Henyey-Greenstein function for example. \n", "\n", "In this section, we are going to check how the phase functions computed with the three choice of *IMIE* compare." ] }, { "cell_type": "code", "execution_count": 16, "id": "c821be80-4242-4405-a2d6-7e8b490fdd59", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000253838183915\n", "Maximum integral of phase function is 1.0000253838183915\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000253838183915\n", "Maximum integral of phase function is 1.0000253838183915\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Calculating the phase function with IMIE = 1 (explicit)\n", "######################################################################################\n", "\n", "Scatter.IMIE = 1\n", "\n", "#Initialising arrays again\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Calling Makephase\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "phase_explicit = Scatter.calc_phase(Scatter.THETA,Scatter.WAVE)\n", "\n", "\n", "#Calculating the phase function with IMIE = 2 (Legendre polynomials)\n", "######################################################################################\n", "\n", "Scatter.IMIE = 2\n", "\n", "NLPOL = 100 #100 Legendre polynomials\n", "\n", "#Initialising arrays again\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA,NLPOL)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Calling Makephase\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "phase_lp = Scatter.calc_phase(Scatter.THETA,Scatter.WAVE)\n", "\n", "\n", "#Making summary plot\n", "########################################################################################\n", "\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(10,3))\n", "\n", "iwave = 0\n", "ax1.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0 (Double H-G)')\n", "ax1.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1 (Explicit)',c='black',linewidth=3.)\n", "ax1.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2 (Legendre pol.)')\n", "ax1.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax1.set_facecolor('lightgray')\n", "\n", "iwave = int(Scatter.NWAVE/2)\n", "ax2.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0')\n", "ax2.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1',c='black',linewidth=3.)\n", "ax2.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2')\n", "ax2.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax2.set_facecolor('lightgray')\n", "\n", "iwave = Scatter.NWAVE - 1\n", "ax3.plot(Scatter.THETA,phase_hg[iwave,:,idust],label='IMIE = 0')\n", "ax3.plot(Scatter.THETA,phase_explicit[iwave,:,idust],label='IMIE = 1',c='black',linewidth=3.)\n", "ax3.plot(Scatter.THETA,phase_lp[iwave,:,idust],label='IMIE = 2')\n", "ax3.set_title('$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "ax3.set_facecolor('lightgray')\n", "\n", "ax1.legend()\n", "\n", "ax1.set_xlabel('Phase angle ($^\\circ$)')\n", "ax2.set_xlabel('Phase angle ($^\\circ$)')\n", "ax3.set_xlabel('Phase angle ($^\\circ$)')\n", "\n", "ax1.set_ylabel('Phase function')\n", "ax2.set_ylabel('Phase function')\n", "ax3.set_ylabel('Phase function')\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "39de6305-7de1-4da4-a781-5c6e3adc0e51", "metadata": {}, "source": [ "## 9. Writing the output files\n", "\n", "Once we have calculated our optical properties of the aerosols, we may want to write the outputs into files using the format of the input files required by archNEMESIS and NEMESIS." ] }, { "cell_type": "markdown", "id": "7bf8b072-b356-460e-8a83-4308565a06dd", "metadata": {}, "source": [ "### Writing the output into standard archNEMESIS HDF5 file\n", "\n", "We are going to run *Makephase* for one of the previous cases and write the calculated optical properties into the HDF5 required by archNEMESIS to run forward models and retrievals." ] }, { "cell_type": "code", "execution_count": 17, "id": "86599561-5122-4b1d-85f6-ed1df3a8928e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.0000450198632251\n", "Maximum integral of phase function is 1.0001966612381192\n", "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000011255322207\n", "Maximum integral of phase function is 1.0000491675803809\n" ] }, { "data": { "image/png": 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", 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1vZRNObYARySEEEIIcXqSyAqv63qFclWPUAAWfF8kt7IVQgghRJsmiazwUhSFu4ZE0j/eSJVL5Zk1hTItlxBCCCHaLElkhQ+dRuHRi2OJD9aSa3Hx/HqZyUAIIRpjzpw5REREMHXq1ECHIsR5QxJZUUe4ScucX8Vh0inszKvmre2lgQ5JCCHavFmzZjF//nw++ugjMjMzW3x/aWlpBAUF1Xk89NBDjVr/L3/5C0FBQTzyyCM+5ZWVlTzyyCP07NmTqKgoLr30UrZu3dqkOs2xjfrqXHbZZWzfvr3Z4w3kMbVkne+++44bbriB1NRUIiMj+fzzzznXSCIr6pUSaWDmiJqZDP6zv5KVmZYARySEEG1beHg4U6dORaPRsGfPnhbf3/r16zl8+LD38cUXXwBw/fXXn3HdrVu3smTJEvr161dn2b333su3337LkiVL2LJlC6NHj+bqq6/m+PHjja7THNtoqM7EiRM5ceJEs8Yb6GNqqTpWq5V+/frx8ssvn+mUaLcU9TybNLSiooLw8HA2btxISEhIi+/P4/GQlZVFly5d0Gja3+eG93aV8cGP5eg0MP/yBHrFGltt3+297QJF2s0/0m7+ac5283g8qKpKcnIyRmPr/a1pTpWVlaSmpvLwww8ze/bsBuupqorD4cBgMKAoSrPs+5FHHuF///sfP/7442m3abFYGDFiBAsXLuT555+nf//+vPjiiwBUVVURFxfHRx99xBVXXOFdZ8SIEYwdO5ann376jHUeffTRs95GQ3VUVWXEiBGMGzfurLbTlo6ppeqcSlVVgoOD+fDDD7nmmmsaPDcANmzYwPjx4ykoKMBkMgGQnZ1Nr1692L9/P507d2bcuHH06dMHrVbLe++9h8Fg4Mknn2TSpEk8/PDDfPbZZ8TFxbFgwQLGjRtX737sdjvZ2dkoilLnb4fFYiE9PZ3y8nLCwsJOG6/8tRandXP/cNKTzLg88Oe1hRTZXIEOSQhxvlBVcFgD8/Czj2fu3LlYLBb27t17xroLFiwgLi6O2NjYBh85OTmN2q/D4eDDDz9k8uTJZ0yMH374YcaPH89ll11WZ5nL5cLtdnsTmFpms5mNGzc2qk5zbON0dUwmU7Nspy0dU0vU8deuXbtIS0vz2fbOnTuJjIykc+fO3rL33nuP6Oho1q1bx/Tp05kxYwa33norF154IRs2bGD06NH89re/xWZr2ek8dS26ddHuaRSFmSNimPV1HtllTl5YX8T8y+PRapqnB0EIIRrktGF+OTUgu656OBMMwU1aZ/v27bz55puMHz++UYnstGnTuOmmm06beCYmJjZq359//jllZWXcdtttp63373//m507d7J+/fp6l4eGhjJ8+HCee+45evbsSXx8PB999BGbN28mNTW1UXWaYxsN1Vm2bBlbtmw56+20pWNqqTr++vHHHxkwYIBP2e7du+sMQ+nXrx+PPfYYUPNtwIIFC4iJiWHatGkAzJ49mzfeeIM9e/YwbNiws4rpdKRHVpyRWa/hj6NiMesV9hbaeWdXWaBDEkKINsXj8fDAAw8wffp0br31Vg4dOoTT6TztOpGRkaSmpp72odM1rr/pX//6F2PHjqVDhw4N1jl27BiPPPIIb731Vp2evFMtWbIEVVXp1q0bERER/P3vf+emm27y+fr3THWaYxv11Vm0aBE33HDDWW+nLR1TS9bxx+7du+nfv79P2a5du+qU9e3b1/taq9USFRVFnz59vGXx8fEAFBQUnFU8ZyI9sqJROoTqmXFhNM+tL+LjnyroE2tkaKegQIclhDiX6YNqekYDtO+mWLRoEcXFxcyZM4ecnBycTicZGRk+/9j/0oIFC854Ec727dtJSko6bZ2jR4/y7bff8sEHH5xxWwUFBYwYMcJb5na7+e6771i8eDFlZWVotVq6du3KN998g9VqpaKigsTERG6//XZSUlK8652pTnNso746CQkJ3HbbbWe9nbZ0TC1Zp6ncbjd79+6t0yO7c+dOJk6c6FOm1+t93iuK4lNW+02Dx+PxO57GkERWNNpFycFcXWDni4xKXtpQzCtXGYgLllNICNFCFKXJX+8HwvHjx5k3bx5Lly4lODiYbt26YTQa2bt372kT2eYaWvD2228TGxvrc9FPfS699FK2bNniU3b33XfTs2dPZs6ciVar9VkWHBxMcHAwpaWlrFy5kmeeeabONs9Upzm2cWqdkpISVq1axbPPPntW22lLx9QadRrrwIEDVFdX+5x3mzdv5sSJE3V6ZNsKyUJEk9w5KJKMQjsHSxy8sL6I58bGo5PxskKI89isWbMYO3asN5HU6XT07NmTn3766bTrRUZGEh8ff1azFng8Ht555x1uu+22eochLFq0iM8//5yvvvqK0NBQn69+oSYJ+uVXwitWrEBVVXr06EFmZiaPP/44PXr0YPLkyY2u0xzbOF2d22+/vVnjbQvH1BJ1LBYLmZmZ1E5QdeTIEXbt2kVUVFS9Pf27d+/2njf33nsvmZmZzJo1C6i5oLAtkkRWNIleq/DoJTHM+DKX/UV2/rWjjDsHRwY6LCGECIivvvqKtWvX1pmkv2/fvo264Otsffvtt+Tk5PgkL6cqLi7m8OHDTdpmRUUFTz75JMePHycyMpKJEyfy9NNP+3xtfKY6zbGNhurMnj27WbbTlo6ppeps376d8ePHe9/XXpx122238frrr9f52e/evZsxY8aQlZXF0KFDSUtL44knnmDGjBksWrSIJUuW1H/SBFDA55F97bXXePHFF8nLy2PAgAH87W9/O+3VbWVlZfzxj3/k008/paSkhOTkZBYuXMiVV17ZqP3JPLLNY2OOjWfXFgLwxKhYLkxq/vGy52rbtTRpN/9Iu/lH5pH1T0vMI3s+kHbzT2Pb7ZprrmHQoEF15qFtCefEPLLLli1j5syZPPXUU2zfvp0BAwYwbty4Bq9wczgcXH755Rw5coSPP/6YjIwM3njjDTp27NjKkYv0pCCuTQsF4OWNxeRZTn91rhBCCCHatt27d592XHdbFNBE9qWXXuKuu+7ijjvuoHfv3ixevJigoCDeeuuteuu/9dZblJSU8NlnnzFy5EhSUlIYNWpUnavrROuYekEkPWMMWB0eXvyuCJfnvLpJnBBCCHHOyMvLo6CgoM446rYuYGNkHQ4H27Zt87mFn0ajYcyYMQ3eleK///0v6enp3HffffznP/8hNjaWW265hUcffbTO1Za17HY7drvd+76iogKo+QqrpaeEqN3Pqc/nEq0Cj4yMZsZXeWQUOfhwdxm39A9vtu2fy23XkqTd/CPt5p/mbLfakW6qqhLgUW+t6nw61uYk7eafhtotPj4eq9V62jotEYeqqnX+fjTl70nAEtmioiLcbrd3wtxa8fHx7N+/v951Dh8+zLfffsutt97KV199xaFDh7j33ntxOp089dRT9a4zf/585s6dW6c8OzuboKDWmwc1Ozu71fbV2n6dovCvg1qW7SknTi0h9fTDWZrsXG67liTt5h9pN/80R7vpdDoSEhJwOp3nzfjHtnoleFsn7eafttRuTqcTl8tFXl4eLpfLZ1lTbmvbrmYt8Hg8xMXF8frrr6PVahk8eDDHjx/nxRdfbDCRnT17NjNnzvS+r6ioICkpieTk5Fa72Cs7O5vk5ORz9gKSLl3gqKuY1Vk2Pjxi5JUrEgg2nP2xng9t1xKk3fwj7eaf5my32h4avV6PwWBojvDatNqLb0TTSLv5p621m6qq6HQ6OnXqVOeDq8ViafR2ApbIxsTEoNVqyc/P9ynPz88nISGh3nUSExPR6/U+wwh69epFXl5egz8go9FY79WvGo2mVf+xau39tbZ7hkazr9BBnsXFP7aWMeuimGbb9rnedi1F2s0/0m7+aY52q521QFGUc75H9tSvbs/1Y21O0m7+aYvtVhtHfbMWNOVvScD+WhsMBgYPHsyqVau8ZR6Ph1WrVpGenl7vOiNHjuTQoUM+YycOHDhAYmJim/qUcT4KMmj4/cgYNAqsOWJldVbjP00JIYQQQvgjoN0OM2fO5I033uBf//oX+/bt45577sFqtXLHHXcAMHnyZJ+Lwe655x5KSkqYMWMGBw4c4Msvv+TPf/4z9913X6AOQZyiV6yRm/vVXOy16IcSmZJLCCGEEC0qoGNkJ02aRGFhIU8++SR5eXkMHDiQ5cuXey8AO3r0qE/3clJSEl9//TUPP/ww/fv3p2PHjsyYMYNHH300UIcgfuGmvuFsz61mX6Gdl74vZv7l8WjlFrZCCCGEaAEBv9jr/vvv5/7776932Zo1a+qUpaens2nTphaOSvhLq1H4/choHvwyl72Fdj7aU87N/SMCHZYQQgghzkF+JbJlZWX88MMPFBQU1Jnrq6H7PYvzR0KInnuGRbHg+2I++LGcwR3M9Ig5t283KYQQQojW1+RE9vPPP+fWW2/FYrEQFhbmc/WboiiSyAoALu0Swg/HqlifbeOlDUW8cmUiRp1cCS6EEEKI5tPkzOL3v/8906ZNw2KxUFZWRmlpqfdRUlLSEjGKduqeYVFEmrQcq3Dx9s6yQIcjhBAtas6cOURERDB16tRAhyLEeaPJiezx48d58MEHW/WuWKJ9CjNqeTA9GoD/7q/kx/zqAEckhBAtZ9asWcyfP5+PPvqIzMzMFt9fZWUljzzyCD179iQqKopLL72UrVu3nvU6zVGnpfZz2WWXsX379nPqmPyt43a7mTt3Lr169SIqKoo+ffowf/58nzljX3zxRS666CLi4+Pp3r07kyZN4sCBA5xLmpzIjhs37oy/KELUGtrRzNhuIajAwg1F2JxyH3shxLkpPDycqVOnotFo2LNnT4vv79577+Xbb79lyZIlbNmyhdGjR3P11Vdz/Pjxs1qnOeq05H4mTpzIiRMnzqlj8qfOggULePPNN3nppZfYsWMHzzzzDC+//DKLFi3y1lm/fj133303q1ev5tNPP8XpdDJhwgSsVmuD50h7o6inpu6NsGTJEubNm8cdd9xBv3790Ov1PsuvueaaZg2wuVVUVBAeHs7GjRtb7Ra1WVlZdOnS5by9W5DN6eGBL06Qb3UztlsID14Y3aj1pO38I+3mH2k3/zRnu9Xe2Ss5ObneOzK2B5WVlaSmpvLwww/7zIP+S6qqeu9I6c+dlqqqqoiLi+Ojjz7iiiuu8JaPGDGCsWPH8vTTT/u1TnPUefTRR1tsP6qqMmLECMaNG9ds8Qb6mPypA3D99dcTFxfH4sWLvXVuvvlmzGYzb731ls/PvvZ8Ky8vJyUlhW+++YaLLrqozjkCsGHDBsaPH09BQQEmkwmA7OxsevXqxf79++ncuTPjxo2jT58+aLVa3nvvPQwGA08++SSTJk3i4Ycf5rPPPiMuLo4FCxYwbty4evdjt9vJzs6u985eFouF9PR0ysvLCQsLq3f9Wk3+q3PXXXeRk5PDvHnzuPHGG5k4caL3cd111zV1c+I8EKTX8NCIGBTgm0MWthyzBTokIYRoEXPnzsVisbB3794z1l2wYAFxcXHExsY2+MjJyal3XZfLhdvt9iYatcxmMxs3bvR7neao09L7MZlMzRpvWzimptYBuPDCC1mzZg0HDx4EYPfu3WzcuJGxY8fSkIqKCgAiIyMbrLNr1y7S0tJ89r9z504iIyPp3Lmzt+y9994jOjqadevWMX36dGbMmMGtt97KhRdeyIYNGxg9ejS//e1vsdla9t/8JieyHo+nwYfb7W6JGMU5oF+8iWt7hQLw100lVNjlXBFCnJ6qqlS5qgLyaOKXlQBs376dN998k/HjxzcqkZ02bRobN25k06ZNDT4SExPrXTc0NJThw4fz3HPPceLECdxuNx988AGbN28mLy/P73Wao05L72fLli3NGm9bOKam1oGaMdk33ngjAwcOJCwsjPT0dO677z5+85vf1Pvz93g8/OEPfyA9PZ0+ffo0eF7++OOPDBgwwKds9+7d9OvXz6esX79+PPbYY3Tr1o1HHnkEk8lETEwM06ZNo1u3bsyePZvi4uIWH2YT8BsiiPPH5IGRbDtRTU65k0U/lPDoxbGBDkkI0YZVu6sZ9emogOx77fVrMevMja7v8Xh44IEHmD59OkOHDmXatGk4nc46w+9OFRkZSXx8vF9DC6BmqN/06dPp1q0bWq2WgQMHctNNN7Fjx46zWqc56rTkfm644QZ27959Th2TP3U++eQTPvzwQ5YuXUqvXr3YvXs3f/jDH0hMTOS2226r87OfNWsWe/fuZeXKlQ2eH1CTtE6aNMmnbNeuXfTv39+nrG/fvt7XWq3We8FZrdq7tBYUFJx2f2fLrwFNa9euZcKECXTr1o1u3bpxzTXXsH79+uaOTZxjDFqFmSOi0SiwPtvG+uxzZ7C5EOL8tmjRIoqLi5kzZw59+vTB6XSSkZFx2nXOZmgBQNeuXfnmm28oLCzkwIEDrF+/HqfTSUpKylmt0xx1Wmo/69atw+VyNXu8gTwmf+s8/vjj/P73v+fGG2+kb9++3HLLLdx///385S9/qfNznzlzJl9//TX/+9//6NSpUz1nRg23283evXvr9Mju3LmzTiL7yw9piqL4lNV+QPvljbOaW5N7ZN99913uuOMOrr/+eh588EEAvv/+e0aPHs3SpUu55ZZbmj1Ice7oHm1kUt9wPvixnEU/lNA/3kS4SRvosIQQbZBJa2Lt9WsDtu/GOn78OPPmzWPp0qUEBwfTrVs3jEYje/fu9em1+qVp06Zx0003nbZHtqGhBacKDg4mODiY0tJSVq5cyTPPPNMs6zRHnebeT0lJCatWreLZZ589Z47J3zpVVVV1LpLSarU+iaOqqsycOZP//ve/fP7556f9kANw4MABqqurfc67zZs3c+LEiTqJbFvR5ET22Wef5YUXXuDhhx/2lj344IO89NJL/OlPf5JEVpzRTX3D2Zhj40iZk8VbZIiBEKJ+iqI06ev9QJk1axZjx471XmGu0+no2bMnP/3002nXO9uhBStWrEBVVXr06EFmZiaPP/44PXr08LnD5qJFi/j888/56quvGr1Oc9Rp6f3cfvvtzRpvWzimpta58soreeGFF0hKSqJ3797s3LmTv/3tbz51HnroIT766COWLVtGSEgIeXl5KIpCeHg4ZnPd363aIRuLFi3i3nvvJTMzk1mzZgHgcDjq1G8LmpzIHj58mAkTJtQpv+aaa3j88cebJShxbtNrFR5Kj2bm8jzWZ9u4KNnKyM7BgQ5LCCGa7KuvvmLt2rV1Junv27dvoy74OhsVFRU8+eSTHD9+nMjISCZOnMjTTz/t8/VucXExhw8fbtI6zVGnJfcze/bsZo830MfkT50FCxYwb948HnroIQoLC0lMTGTatGk+udgbb7wBwPjx433OnX/84x8+HwZq7d69mzFjxpCVlcXQoUNJS0vjiSeeYMaMGSxatIglS5bUWSfQmjyPbO3VaXfffbdP+eLFi1mwYIF3Goi2SuaRbTve2VnKsj0VRJg0vHZ1hzpDDKTt/CPt5h9pN//IPLL+Odt5ZM9X0m7+aWy7XXPNNQwaNKjeeYibW3PNI9vkHtnf//73PPjgg+zcuZMRI0YANWNkly5dyiuvvNLUzYnz2G/6RbAxp4qj5U5e31rCIxfJEAMhhBAiUHbv3u0zNKE9aHIie88995CQkMCCBQv46KOPAOjVqxfLli3j2muvbfYAxbmrdojBrK/zWHvExkXJNtKTggIdlhBCCHHeycvLo6Cg4LRzzLZFfs0je91118ldvESz6BFj5PreYXz8UwWvbS6mb5yRUKPMYiCEEEK0poSEhBa/C1dLkIFgIuBu6R9BUriesmoPr28tDXQ4QgghhGgnGpXIRkVFUVRUBNRMFxIVFdXgQ4imMpwcYqBRYHWWlc3H2t8nQiGEEEK0vkYNLXj55ZcJDQ31vpYrBUVz6xljZGKvMD7dW8Frm0voE2skSC/nmRBCCCEa1qhEdsqUKd7XU6dObalYxHnu1v7h/HDMxrEKF29uK+XBC6WHXwghhBANa/IYWa1WS0FBQZ3y4uJitFq5SEf4z6jTMCM9GgVYedjK1uNVgQ5JCBEATZzeXAjRDjXX73mTE9mGdmy32zEYDGcdkDi/9Yo1cW2vmmEsr/1Qis0V4ICEEK2mdtiayyW/+EKc66qrq1FV9ayHqzZ6+q2//vWvQM0fmjfffNPnrlhut5t169aRlpZ2VsEIAXDbgAh+OFbFiUoXnx3R0Kd7oCMSQrQWVVUpLi5Gp9Od09djqKqK0+lsln/IzyfSbv5pS+2mqirV1dUUFhYCtF4i+/LLL3sDWLx4sc8wAoPBQEpKCosXLz6rYIQAMJ0cYvDYN/lsLtSw/UQVQzoFBzosIUQLUxQFrVZLVVUVR48eDXQ4Lc7lcqHT+TWd+3lN2s0/bandar/db44hqY0+oqysLAAuvfRSPv30UyIjI89650I0pE+ciat7hvB5hoVXfyjltTgzwQaZ9liIc52iKN5/bM/lsbKqqpKXl0enTp0C3kPWnki7+aettZtGo2m2OJqcmq9evbpZdizEmdw+IJyNRyopsrl5a3spD1wYHeiQhBCtoPYfuLbwD25L8Xg8uFwuFEVBo5EP6Y0l7eafc7ndmnw0N9xwA88//3yd8hdeeIEbb7yxWYISAmqGGNzczQ3A14cs7MiVWQyEEEII8bMmJ7Lr1q3jyiuvrFN+xRVXsG7dumYJSoha3cLgqh41Fxb+dVMxNqcnwBEJIYQQoq1ociJrsVjqnWZLr9dTUVHRLEEJcarJA8KJD9FRaHXzz+2lgQ5HCCGEEG1EkxPZfv36sWzZsjrlH374Ib17926WoIQ4lVmvYcbJ8bH/O2hhpwwxEEIIIQR+XOw1Z84crr/+ejIzM7nssssAWLVqFR988AH//ve/mz1AIQD6J5i4qkcIXx6w8LdNxbx6dQfM+nNrwLoQQgghmqbJmcCECRP47LPPOHToEPfeey+///3vOXbsGCtXrmTixIktEKIQNaZeEElcsJZ8q5ulO8oCHY4QQgghAsyvmXGvuuoqrrrqquaORYjTMus1PHhhNE+sKuDLA5WM7BxE/wRToMMSQgghRID4/d2sw+Hg2LFjHD161OchREsamGhmfPeaWQxe2VRMtUtmMRBCCCHOV01OZA8ePMjFF1+M2WwmOTmZLl260KVLF1JSUujSpUtLxCiEj2kXRBIbrCXf4uJfMsRACCGEOG81eWjB1KlT0el0fPHFFyQmJp7Td14RbVOQQcMDw6N58tsCPs+oZETnIPrFyxADIYQQ4nzT5ER2586dbNu2jbS0tJaIR4hGGdTBzNhuIXxzyMJfNxbzt6sTMelkFgMhhBDifNLkf/l79+5NUVFRS8QiRJPcOSiSmCAtuRYX7+wsC3Q4QgghhGhlTU5kn3/+ef7whz+wZs0aiouLqaio8HkI0VqCDRoeOHmjhP/ur+SnguoARySEEEKI1tTkoQVjxowBYPTo0T7lqqqiKAput7t5IhOiEQZ3MHN5ajArMq28srGYv14lQwyEEEKI80WTE9nVq1e3RBxC+O3OwVFsO1HNiUoX7+4q47eDowIdkhBCCCFaQZO7rkaNGnXahz9ee+01UlJSMJlMDB8+nB9++KFR63344YcoiiJ3FDvPhRg0PDC8Jnn9z75K9hXKEAMhhBDifNDkHtl169addvkll1zSpO0tW7aMmTNnsnjxYoYPH87ChQsZN24cGRkZxMXFNbjekSNHmDVrFhdffHGT9tfaTOWZxFTuI6ioEnRGVK0BVaNH1RjwaA14DKGoGn2gw2z3hnYKYnTXYFYdtrJwQ80QA6MMMRBCCCHOaU1OZH/1q1/VKTt1LtmmjpF96aWXuOuuu7jjjjsAWLx4MV9++SVvvfUWjz32WL3ruN1ubr31VubOncv69espKytr0j5bU+yB9+mR8w0cariOWx+KyxiByxiJyxiB2xSJ0xyPPaQjjpBOOEI64dGHtF7Q7dRdgyPZkVvN8UoX7+0uZ9qgyECHJIQQQogW1OREtrS01Oe90+lkx44dzJkzh2effbZJ23I4HGzbto3Zs2d7yzQaDWPGjGHjxo0Nrjdv3jzi4uK48847Wb9+fdMOoJU5zbFUmDph1ILicaLxOFDcDu9rAK2zEq2zEqMlp8HtuAwROEI6Yg/tTHVED6oielAd0R2PPri1DqXNCzFquW94FH9aU8hn+yoYkRREWqwx0GEJIYQQooU0OZENDw+vU3b55ZdjMBiYOXMm27Zta/S2ioqKcLvdxMfH+5THx8ezf//+etf57rvvWLJkCTt37mzUPux2O3a73fu+doowj8eDx+NpdKz+OtH7d2QHjyM5ORmN5hdfdasetI5KdPbSk48y72u9LQ+j9TgGy3H09hJ0jjJ0JWUElfwE2f+rWR0FR0gnqiJ6YIvoiTWmP1URPUHT5B9rm1T782nKz2loBxO/SglizREbCzcWsfCKBAza8+vuc/60m5B285e0m3+k3fwj7eaf9tZuTYmz2TKe+Ph4MjIymmtz9aqsrOT222/njTfeICYmplHrzJ8/n7lz59Ypz87OJigoqLlDbFB2dvYZakTUPDQpYKbmUTNFKjp3FUH2AkLs+YRWHyPclk1EVTZmZwlGSw5GSw4Rx1YB4NIYKQnuTlFIGsUhaZQGdUVt54ntmdvO19gY2H5cy7EKF6+tO8rElPbxi9vcmtpuooa0m3+k3fwj7eYfaTf/tJd2s9lsja7b5Axn9+7dPu9VVSU3N5fnnnuOgQMHNmlbMTExaLVa8vPzfcrz8/NJSEioUz8zM5MjR44wYcIEb1lt1q7T6cjIyCA1NdVnndmzZzNz5kzv+4qKCpKSkkhOTiYkpOXHnXo8HrKzs+vvkW2S3gA4gMKTD211KebyA5jLDhBUspfg4t3oHBXEVe4hrnJPzf61RiwxF1CROILKhBE4g+Ib3ENbczZtNyO4ij+tLWJNrobL+8TTN87UQlG2Pc13zp1fpN38I+3mH2k3/0i7+ae9tZvFYml03SYnsgMHDkRRFFRV9Sm/8MILeeutt5q0LYPBwODBg1m1apV3Ci2Px8OqVau4//7769RPS0vjxx9/9Cl74oknqKys5JVXXiEpKanOOkajEaOx7jhJjUbTqj/MltifGhSNLSgdW2I6xQCqB2P5YYKLdhBcuJPgop3o7GWE5W8iLH8T8BJV4d2wJKRTkTiSqujeoGibNaaW4E/bDU8K5vLUqpobJWwq5W9XJRKkb/u/vM2ptc/xc4W0m3+k3fwj7eYfaTf/tJd2a0qMTU5ks7Ky6uwsNjYWk8m/Hq+ZM2cyZcoUhgwZwrBhw1i4cCFWq9U7i8HkyZPp2LEj8+fPx2Qy0bdvX5/1IyIiAOqUn5cUDfaIbtgjulHS7UZQVYwVhwnN3Uho7vcEFe/BXH4Ic/khYjPewWmMoqLTpZQnjcEW3ReUtn9yN8Vdg6PYlVdNvsXFW9tKuf/k7WyFEEIIcW5oVCIbFRXFgQMHiImJYe7cubzyyiuEhoY2SwCTJk2isLCQJ598kry8PAYOHMjy5cu9F4AdPXq0XXx6aJMUBXt4KvbwVIrSbkNrLyckf1NNYpu3Cb29hOjMT4jO/ASnOY7yTqMpSxpNdWQaKO3/Aqkgg4aH0mN4fGU+yw9ZuDApiCEdzYEOSwghhBDNpFGJrMPhoKKigpiYGP71r3/x/PPPN1siC3D//ffXO5QAYM2aNaddd+nSpc0Wx7nObQynvPM4yjuPA4+LkPwthB9bSdjxdeirCog5+AExBz/AHtKJsuQrKU25Epc5NtBhn5X+CSauSQvlv/sr+eumYl67OpFQY9sfTiGEEEKIM2tUIpuens7EiRMZPHgwqqry4IMPYjbX37PV1HGyIkA0OiyJ6VgS0zkxyE5I3ibCc1YRlvsdRssx4n96nbif3qQy4UJKu1xNZeLIdjut15SBEWw/UcWxCheLt5TwyEXtOzkXQgghRI1GZSbvvvsuL7/8MpmZmSiKQnl5OdXVcj/7c4WqNVLZcRSVHUehcdkIO7aayKwvCC7eTVjeBsLyNuAyRlKaPJ7SrhNxhHQKdMhNYtRpeHhEDI98ncfaIzbSk6xclCw3khBCCCHau0YlsvHx8Tz33HMAdOnShXfeeYfoaLlw5lzk0QVRlnIVZSlXYajMJvLIV0Rk/w99dTGxBz4g5sCHVCakU9LtBizxw9rNBWI9Y4zc2CecZXvK+fsPJfSJMxFpliEGQgghRHvW5CwkKytLktjzhCM0mfx+95Bx5adkj3iOyoQLUVAJy9tAyne/p/vXtxB18N9onI2f7y2QftMvnNRIAxV2D69sLK4zhZwQQggh2pf20Z0mAkujo7LDxWRftIAD4z6kqNuNuHXBGC05dNi1kJ5fTiRh50L01txAR3paeq3CzJHR6DWw9UQVXx5oHwm4EEIIIeoniaxoEkdoEnkDHyLj6s84ccEsqkNT0LqqiDn0b3osn0SnzU9jKjsQ6DAblBxh4I5BkQC8tb2Uo2WOAEckhBBCCH9JIiv84tEFUZJ6HYfGvsuRi17CEjcERXUTkbOCbivvIGXdQwTnb4E2+PX91T1DGZRowuFW+cv3RTjdbS9GIYQQQpyZJLLi7CgKloThHLnkFQ6N/idlSZejKlpCCrbQZf1DpK66k9Dj60D1BDpSL42i8FB6NGFGDYdLnby7qyzQIQkhhBDCD34lspmZmTzxxBPcfPPNFBQUAPC///2Pn376qVmDE+1LdWQPjg1/mgPjl1HU7UY8WhPmsgySN84mdeUdhB37ts0ktFFBOh44ecvaT/dWsDtPppMTQggh2psmJ7Jr166lX79+bN68mU8//RSLpeaCmV27dvHUU081e4Ci/XEGJ9aMo73yEwrSpuDWBWEuP0TnTXPotuJ2wo+uANUd6DBJTwpibLcQVOClDUVY7IGPSQghhBCN1+RE9rHHHuOZZ55hxYoVGAwGb/lll13Gpk2bmjU40b65jREU9P1dTULbaxpufSimiiMk/fA03b++lbCclQHvob1rcCSJoTqKbG5e+6FEpuQSQggh2pEmJ7I//vgj1113XZ3yuLg4ioqKmiUocW7xGMIo6HMnGVd+TH6f3+EyhGG05NB581OkrryD0BPfB+yiMLNew6yRMWgUWJ9tY3WWNSBxCCGEEKLpmpzIRkREkJtbd77QHTt20LFjx2YJSpybPPoQCntN4cAVH5Pf5y7cumDM5YdI3vAHuq6+m+CCbQGJq2eMkZv7hQOw6IcSjlc4AxKHEEIIIZqmyYnsb37zGx599FHy8vJQFAWPx8P333/PrFmzmDx5ckvEKM4xHn0whb2mcuDKjynseRserZGgkp/osu5BUtbNwFyyt9VjuqlvOH3jjFS5VF74TqbkEkIIIdqDJieyf/7zn0lLSyMpKQmLxULv3r255JJLGDFiBE888URLxCjOUW5DGPn97uHA+I8oTr0Bj6IjpGArqd/eRecNj2Eqz2y1WLQahVkXxRBm1JBZ4uCfO0pbbd9CCCGE8E+TE1mDwcAbb7zB4cOH+eKLL3j33XfZv38/77zzDlqttiViFOc4lzmG3AtmcnD8h5SmXIWKhrAT6+m+6g4uyP4Helt+q8QRE6Tj4fSaKbn+u7+SzTm2VtmvEEIIIfzj9w0RkpKSuPLKK7nhhhuwWq2UlkoPljg7zuBEjg95nINj36W802UoqHQu+Z6e39xC/I+L0DgtLR7D0E5BTOwVCsDCjcUUWl0tvk8hhBBC+KfJiexDDz3EkiVLAHC73YwaNYpBgwaRlJTEmjVrmjs+cR5yhCWTc+GfOPir1ykKSUPjcRCb8S49/jeJqEP/RvG07MVYUwZG0j3KQKXDw4vfFeH2yHhZIYQQoi1qciL78ccfM2DAAAA+//xzDh8+zP79+3n44Yf54x//2OwBivNXVVQvvu82myMXzqc6NBmdo4wOOxfS7ZvbCDu2usWm7NJrFf5wcQxmvcLeQjvv7y5vkf0IIYQQ4uw0OZEtKioiISEBgK+++oqbbrqJHj16MG3aNH788cdmD1Cc5xSFig4Xcejytzl+wSxcxkiMlmN03vQEXdbcg7l4T4vsNjFUzwPDa8bLfrSnnJ25VS2yHyGEEEL4r8mJbHx8PHv37sXtdrN8+XIuv/xyAGw2m1zsJVqORkdp6nUcGL+Mgl5T8WhNBBf/SOrqu0naNAe99USz7/KSlGDGnbyF7V++L6LEJuNlhRBCiLakyYnsHXfcwU033UTfvn1RFIUxY8YAsHnzZtLS0po9QCFO5dEHU9DnLg6M/5CSlKtR0RB+7Fu6f30r8T8uRuNs3jtz3TUkkpQIPWXVHp5bX4RLxssKIYQQbUaTE9mnn36aN998k9/97nd8//33GI1GALRaLY899lizByhEfVzmWE4Mmc2hy5diiRty8oKwd+j+9c1EHPkSVE+z7Mek0zD7kliCTo6X/ed2mZ1DCCGEaCt0/qz061//uk7ZlClTzjqYc5HNbcPqsWJ1WdFqtWgVLRo0aBQNGjQoihLoENs1e3gqRy5eSGjudyTs+htG63E6bf0z0Yc+IXfAg9hiB571PjqG6Xl4RAzPri3kP/srSYs1cnFy8NkHL4QQQoiz4lcia7VaWbt2LUePHsXhcPgse/DBB5slsHPF0pylfF/xPTRwHZxe0WPQGDBqjD7PZq2ZYG0wQdoggrXBBOtqXofqQgnThRGuDydcF06QNkiSYUWhssPFWOKHE5X5CXF7/4m5LIOua++jvNNl5PW7F2dw4lntIj0piF/3CePjnyp4ZWMxKREGksL1zXQAQgghhPBHkxPZHTt2cOWVV2Kz2bBarURFRVFUVERQUBBxcXGSyP6CyunHVDpVJ063E6vbv7GdekVPmC6MCH0E0YZoYgwxPz+MMUQbognVhp4Xya6qNVDc42bKOo8nfu8bRB7+nPBj3xJ64juKevyGorTb8eiC/N7+7QMiOFBkZ3e+nWfXFvDSFYkE6f2+p4gQQgghzlKTE9mHH36YCRMmsHjxYsLDw9m0aRN6vZ7bbruNGTNmtESM7dp9Kfcx3jOe5C7JoIBH9eDBg0f14FbdOFUndo8dh8fx87PbTpWnCqvLitVd87C5bdhcNipdlZS7yil3llPlqcKpOil2FlPsLCbTlllvDEaN0Zvkxhvj6WDq4H1E6aPQKOdWMuY2RXJi0B8o7no9ibteIaRwO3H73ybyyJfk951OWfJ48OOYtRqFRy6KZcZXuRyrcPG3TcX84aKY8+JDghBCCNEWNTmR3blzJ//4xz/QaDRotVrsdjtdu3blhRdeYMqUKVx//fUtEWe7plE06BQdGk3zJowOj4NyZznlrnLKnGUUOYoodhRT6CikyF7zusxVht1j50T1CU5U152iyqAYSDQl0sHUwfvc0dSRTqZO6DR+jTxpM+wR3ThyyV8JPbGehN2vnhw/+yxRmZ+QN2AGtpj+Td5mpFnL7EtieOybfNZn20iLqeTaXmEtEL0QQgghzqTJmYper/cmZHFxcRw9epRevXoRHh5OTk5OswcoGmbQGIg1xhJrjG2wjsPjoNhR7E1w86rzOGGvSWrzq/NxqA6yq7LJrsr2WU+raOlo6kiyOZmUoBQ6mzuTHJRMqC60pQ+reSkKlR0vwZJwIdGH/k3svqUEle6n65p7KOs0mvx+9+IMTmjSJnvFmvjt4Ej+sbWUJdtL6RJpoH+CqYUOQAghhBANaXIie8EFF7Blyxa6d+/OqFGjePLJJykqKuKdd96hb9++LRGjOAsGTU2Pa6Kp7sVOLtVFob2QE9UnyK3Orem1tZ/gWNUxrG4rR6uOcrTqKOtL1nvXidZHkxxUk9x2DepKt+BuhOvDW/OQ/KJqDRT1vJXS5CuI/+lNIrP+S8SxVYSdWE9Rj5spSrutSeNnr+4ZSkaRgzVHrMxfV8hLVySQGCoXfwkhhBCtqcmJ7J///GcqKysBePbZZ5k8eTL33HMP3bt356233mr2AEXL0Sm6epNcVVUpdhZzxHaEbFs2R6uOcsR2hAJHQc143PJitpdv99aPNcTSLbib95ESlIJBY2jtw2kUtymKE4P/QEnqdSTseoWQwh3E7f9XzfjZftMp6zyuUeNnFUXhgQujOF7p5GCxgz+tKeQv4xIIMpxb442FEEKItqzJieyQIUO8r+Pi4li+fHmzBiQCT1EU78wHQyJ+/nnb3DaOVh0l25ZNli2LTGsmx6uPU+gopNBRyMbSjQBo0dI5qDPdgrvRI7gHvUJ7EW2IDtTh1Ks6ojtHLvkboSfWkbj7VQzWE3Ta8gxRhz4hd8AMqmL6nXEbRp2GJ0bF8vD/8jha7uTF74t4YlQsWo1c/CWEEEK0hvZ9NY9oVUHaINJC0kgL+flWxDa3jcPWwxyyHvI+yl3lZNmyyLJlsaJwBVDTa5sWkkZaaBq9QnqRYEwI/NX+ikJlx1FYEtJPGT+7j9Q10ylLupz8ftNxBp1+/Gx0kI4nRsXy2Ip8thyv4u2dZdwxKLKVDkAIIYQ4vzU5kc3Pz2fWrFmsWrWKgoICVNV3nlS3291swYm2L0gbRN+wvvQNqxkfraoqRY4ib1KbYckgy5ZV02tbUugdbxuuC/dJbJPMSQGbBsx3/OzrRGZ9QUTOCsJOrKOoxy0U9rwVVWducP0eMUZmXBjNi98X8cneCpIj9FzWNaQVj0AIIYQ4PzU5kZ06dSpHjx5lzpw5JCYmBr5XTbQpiqJ4Z1JIj0oHoMpdxUHrQfZX7mefZR+Z1kzKXeVsLtvM5rLNAITqQukT2oe+oTVJcbwxvtVjrxk/+xglJ+efDS7aSdy+fxJ55Avy+t5DeefLGxw/O6pLMNnlDj7aU8FfNxXTIVRPWqyxlY9ACCGEOL80OZH97rvvWL9+PQMHDmyBcMS5yKw10z+sP/3DauZtdXgcHLYd9ia2GZYMKl2VbCrdxKbSTUDNUIQ+oX2Ic8QR5Ywi0th6X9dXR/Yga9SrhB1fQ8Lu1zDYcknaMo/ozI9rxs9G1z87x20DIjha5mTTsSqeWVvAy1ckEhsso3eEEEKIltLkf2WTkpLqDCcQoikMGoN3rO1EJuLyuDhkO8Seij3sqdzDIcshCh2FrCleA8BHez6is7kz/cP6MyBsAGkhaS1/swZFoaLTpVQmjiD64EfE7v8XQSV7SV1998nxs/fgDPLtNdYoCr8fGcMjX+dxpMzJU98W8MK4BEJkJgMhhBCiRTQ5G1i4cCGPPfYY//jHP0hJSWmBkMT5RqfReRPbX/Nrqt3V7LPs48fyH9lRvIM8T553Ttsv8r/ApDHRN7QvA8IHMDB8IDGGmBaLTdUaKUq7nbKUK4nf8zoRR770jp8t7HkbRT1uQdX9fDMEs17Dk5fGMWt5zUwGz64tYN5l8ei1MgRHCCGEaG6NSmQjIyN9xsJarVZSU1MJCgpCr/edBL6kpKR5IxTnHZPWxAXhFzAgdAAjnSOJ6hTFXutedpXvYlfFLipcFWwt38rW8q0AdDR1ZEBYTVKbFpKGXtP8NyZwmaI5PmQ2xam142d3Eb93CVFZn5PXbzrlSWPh5O9IXLCOpy+L49Fv8vgx387LG4qYdVEMGhlPLoQQQjSrRiWyCxcubOEwhGhYuD6ckVEjGRk1Eo/q4YjtCLsqdrGrfBcHrAc4Xn2c49XH+argK4waI31C+zAwfCADwwae9va9/qiO7EnWqNcIO7765PjZPJJ+mEd07fyz0X0A6Bpp4I+XxPLUtwWsy7YRE1TGtMEyLZcQQgjRnBqVyE6ZMqWl4xCiUTSKhq7BXeka3JXrEq/D4rLwY8WPNYltxS7KnGVsL9/uvfNYkjmJweGDGRwxmK5BXZtnii9FoaLTZVQmjiTmwIfE7H+HoJKfSF39O8o6jyOv73RcQXEMTDTzUHo0CzYU8+m+CmKCtVyTFnb2+xdCCCEE0IQxsh6PhxdffJH//ve/OBwORo8ezVNPPYXZ3PD8mkK0tBBdCOlR6aRHpaOqKtlV2ews38muil0csBwgpyqHnKocPsv7jHBdOIPCBzEoYhD9wvph1Jzd9Fiq1khhrymUplxF/J5/EJn9FRFHvybs+FoKe95KUY9buLRrCEU2N//aWcYbW0uJDtIysnNwMx29EEIIcX5rdPfUs88+y+OPP05ISAgdO3bklVde4b777muWIF577TVSUlIwmUwMHz6cH374ocG6b7zxBhdffDGRkZFERkYyZsyY09YX5w9FUUgJSmFi4kSe6vkU/xjwD+5LuY8LIy/ErDFT7ipndfFqFmQu4K6dd/HioRdZVbiKUmfpWe3XZY7h+NA/cmj0EqzR/dG4q4nfu4QeyycRkfUFv+4dzJU9QlCBv3xXxJ6C6uY5YCGEEOI81+ge2bfffpu///3v3H333QCsXLmSq666ijfffBONxv+va5ctW8bMmTNZvHgxw4cPZ+HChYwbN46MjAzi4uLq1F+zZg0333wzI0aMwGQy8fzzzzN27Fh++uknOnbs6Hcc4twTogvhouiLuCj6IlweF/ss+9hWto1t5dsochT9PAThKKQGpTIoYhCDwwfT2dzZrxt9VEemkfWrvxN2bBUJPy7GYMul07b5xBxcxqy+91BiTWXT8WrmrS7g2THxdI+WGyYIIYQQZ0NRGzkprNFo5NChQyQlJXnLTCYThw4dolOnTn4HMHz4cIYOHcqrr74K1AxhSEpK4oEHHuCxxx474/put5vIyEheffVVJk+efMb6FRUVhIeHs3HjRkJCWv42oh6Ph6ysLLp06XJWCf/5qKXaTlVVcqpzapLasm1k2jJ9lscYYhgUPoghEUPoFdoLndL0OWsVt4OozE+J3bcUnbMSgIrYwcyx/Yb/FHck1KBh/uXxpEQamuWYTiXnnH+k3fwj7eYfaTf/SLv5p721m8ViIT09nfLycsLCTn9tSaP/hXa5XJhMJp8yvV6P0+n0L0rA4XCwbds2Zs+e7S3TaDSMGTOGjRs3NmobNpsNp9NJVFSU33GI84uiKHQ2d6azuTPXJV5HqbOUHeU72Fa2jR8rfqTIUcQ3hd/wTeE3BGuDGRg+kCERQxgQNgCztnFjwlWtgeIev6E05Uri9r1NVObHhBVu4xW2MSHkEp6y3MATq+C5yxPoFN7804UJIYQQ54NGJ7KqqjJ16lSMxp+/Dq2urmb69OkEB/988cqnn37a6J0XFRXhdruJj/e9Q1J8fDz79+9v1DYeffRROnTowJgxY+pdbrfbsdvt3vcVFRVAzacTj8fT6Fj9VbuP1tjXuaa12i5cG86von7Fr6J+hd1jZ0/lHu+wgwpXBd+XfM/3Jd+jU3T0Ce3D4PDBDAofRKT+zNNpeXQhnOh3L4VdJ5Kw900ic1YwxrWOS0wbecs1jvkrruePY7uQENJ8dyqTc84/0m7+kXbzj7Sbf6Td/NPe2q0pcTZ6aMEdd9zRqA3+85//bPTOT5w4QceOHdmwYQPp6ene8j/84Q+sXbuWzZs3n3b95557jhdeeIE1a9bQv3//eus8/fTTzJ07t075+++/T1BQUKNjFecfj+ohx53DPuc+9jn3Uewp9lmepE0iTZ9Gb31vYrWNm682wnaY3seXEWvZB0CZGszbTCCq12hCzTJmVgghhLDZbNxyyy2NGlrQ6ES2JTgcDoKCgvj444+ZOHGit3zKlCmUlZXxn//8p8F1//KXv/DMM8+wcuVKhgwZ0mC9+npkk5KS+P7771ttjGx2djbJycntYlxKW9KW2k5VVY5XH2dbec3FYr8cV5toTKyZrzZ8MN2Cu51+vlpVJTRvA3E/LibYcgSAIiIo7T2V6h7XoJ7lncnaUru1J9Ju/pF284+0m3+k3fzT3trNYrEwcuTI5h0j2xIMBgODBw9m1apV3kTW4/GwatUq7r///gbXe+GFF3j22Wf5+uuvT5vEQs1FaqcOh6il0Wha9YfZ2vs7l7SVtusc3JnOwZ25rsN1lDhK2Fa+ja1lW/mp8idy7bl8UfAFXxR8QbgunMERNTdh6BvaF4Om7gVd1o4Xk9VhBJqD/yN895t0pJCYvQupOvIRRX1+S3nnMaBozyrettJu7Y20m3+k3fwj7eYfaTf/tJd2a0qMAU1kAWbOnMmUKVMYMmQIw4YNY+HChVitVu9QhsmTJ9OxY0fmz58PwPPPP8+TTz7J+++/T0pKCnl5eQCEhIS0Sg+rEABRhiguj72cy2Mvx+a2sat8F1vLtrKjfAflrnK+LfqWb4u+xagxMiBsAEMihnBB+AWE6E45RxUtnh5Xszf+Mt5Z8QF3qp8QaztB0pZ5xGa8S37f31GZeBH4MRWYEEIIcT4IeCI7adIkCgsLefLJJ8nLy2PgwIEsX77cewHY0aNHfTLzRYsW4XA4+PWvf+2znaeeeoqnn366NUMXAoAgbZD37mIuj4u9lr1sLdvKtrJtlDhL+KHsB34o+wENGnqF9mJIxBCGRAwhxhADQGJ4EIPHTeaGFaO42v4V0/VfEFZxmOQNj2GL6kN+37uxxg0O8FEKIYQQbU9Ax8gGgswj236097ZTVZXDtsPepDanOsdneYo5hcERgxkaMZTO5s4U2tw8sTIfS2UZD5m+YrJmOTpPzV3ArDEXUND7Dqyxg87YQ9ve2y1QpN38I+3mH2k3/0i7+ae9tVuLzCMrhGgaRVFIDU4lNTiVSR0nkW/PZ2vZVraWbSXDksGRqiMcqTrCJ7mfEGuIZXDEYO4cOYilGyOYV34T7xrHsyRpOcknviS4aAdd1u3AGjOQgt7TGpXQCiGEEOc6SWSFaCXxxniuir+Kq+KvosJZwfby7Wwt28ruit0UOgpZXrCc5SwnOCmE2Mg0jhancXXO9byYfjPDC5cRmfU5wUU76bLuQawxAyjofacktEIIIc5rksgKEQBh+jB+FfMrfhXzK6rd1fxY+aP3lrkWtwXMWzF32orq0fFIZneu6DicG8dMpFvmZycT2l01CW10/5qENm6wJLRCCCHOO5LIChFgJq2JoRFDGRoxFLfqJsOSwbaybfxQtoUiRyFKyD6+Lt/H1+UKPYN7MGzodMYVHqbfkW8ILt5Nl/UzsEb3pzBtMpaECwN9OEIIIUSrkURWiDZEq2jpHdqb3qG9ua3TbWRZj/LanvXkuHaiNR8nw5pBhjWDd4BOPS5glEPhihN76Fe8m5TvZ1EV3o3CHregqF0CfShCCCFEi5NEVog2SlEUuoYk85fhnXlv99Us25eNLnQvsbEZ2LSHOGbP4z3gvcRoYkjg0soKRluPMWzLPKINMZSpt1PW5WpUnSnQhyKEEEK0CElkhWjjFEXhtgERxAXreG1zBCdKR9Ar3s24/sfZY93GrvJdFHmq+XeomX+Hmgn2qFxss3HpoX+Qvv+fOLrdSEnq9bgNp5/CRAghhGhvJJEVop0Y2y2E2GAtf15XyL58LZWbu/LkpRdyXwr8VPmTd77aMlcZy0OCWR4SjE5VGVb0GaOOfcwFsaPQ9JiMMyg+0IcihBBCNAtJZIVoRy5INPPi2ASeXl3AsQoXD3+Vy+9HxjCs00AGhg9kWudpHLQcZFX2KjI5xAl7LhuCzGwIAtzb6bNzEyN0CfTrdD0xCZeitIOJsYUQQoiGSCIrRDuTEmlgwfgE5q8rYn+RnXlrCvlNv3Bu7heOVqOhe3B3dGYdXbpMJ8+Rx9bSrewoXE2GI4+fjAZ+ogRy36TDsSUMCu5B78Qr6R0xAKPGGOhDE0IIIZpEElkh2qHoIB3zL4/nzW2lfHmgkg9/LOdgsZ1ZI2MI1v88n2wHUweuSbyGaxKvocxZxu7c/7GjYDXbqeCEFk5UZ/BFVgZ6NPQO7kH/yKEMDB9IojERRealFUII0cZJIitEO6XXKtwzLIqeMQZe3VzCthPVPPS/PGZfHE19KWiEPoJLOt/MJZ1vxmnLI+vwO+wu/YENBsjV6dhl3c8u637eOfYOcYY4+of3Z2DYQPqE9sGklZkPhBBCtD2SyArRzl3WNYSUCAPPrisk3+LiD98UcH2yQkqK2uA6+qAEevR9hB4eF3ccW01l1kdss+fwXZCJbSYTBY4CVhauZGXhSnSKjrSQNAaGD6R/WH86mTpJb60QQog2QRJZIc4BXaMMvHJFAn/5vpitJ6r48LCWI45iHrgwmnCTtuEVNToqO18OnS9nZMk+rjn0Mfqcb9lq0PJdkIn1QUGc0MGeyj3sqdwDQIQugr5hfekX1o++oX2JMkS10lEKIYQQviSRFeIcEWLU8uSlsXzyUznv7ipj07EqMr7I5aER0QzuYD7j+tVRvTg+bA5a+4P0PLqcC7P+yx9zjpCl1/Gd2cz60Ei2GzSUucr4ruQ7viv5DoCOpo70C+tHv9B+9ArthVl75n0JIYQQzUESWSHOIRpF4YbeYcR5ivnwiImcChdPfVvA1T1DueOCCIy6M0+35TaGU9x9EsXdbsJcvIeorP9w27FvmVxxFLsC280hrIvtxiajnkxnAcerj3O8+jjLC5ajRUu34G7eHtvU4FR0ivyZEUII0TLkXxghzkGdguGl8fG8vauCzzMq+SKjkl151fx+RDTdohs5zZaiUBXTj+Mx/cgdMIOInBVEZv2X9LKDpGfvBKDIHMPajhewITiUXfYc8u35ZFgzyLBm8EnuJxg1RnqG9KR3aG96hfSia3BXSWyFEEI0G/kXRYhzlFGn4e6hUQzpaGbhhmJyyp3MXJ7HtWlh3NI/HLO+8TdD8BhCKUm9npKu12Eq3U/kkS8Iz1lFTFURNxxawQ1AdVhX9nW6lO/D49hpP8JPFT9hcVvYXbGb3RW7a2LSGOkR3KMmsQ3tRWpQKjqN/BkSQgjhH/kXRIhz3OAOZl69OpHFW0pYn23j//ZV8N1RK/cMjWJYp6CmbUxRqI7qRW5UL/IGzCAkbxMRR78mNPd7TBWHuWDvYQaiYI0dSGnSBH6M7sZe+1H2Vu5lX+U+LG4LP1b+yI+VPwJgUAz0COlBr9Be9A7pTWpwKnqNvgVaQQghxLlIElkhzgPhJi2PXhzLZV2rWPRDMQVWN/PWFDKicxC/GxJJTFDT/xSoWgOVHS+hsuMlaByVhB9fTUT2NwQX7SCksObRUdFxcfwQKjr+irK0KWSrVvZV7qtJbC37qHRV+syIoFf0pAan0iOkBz2Ce9A9pDthurDmbg4hhBDnCElkhTiPDO1opt+EDnywu5z/21fBhqM2duRWcfuACK7sEYpO49/8sB5DKKVdrqG0yzXobXmEH11BxNGvMVVkEZq3idC8TXRAQ3LsQAZ2/BUVHW/DaYrhWPWxmsTWUtNjW+GqYL9lP/st+73bTjQm0iOkB92Du9MjpAcdTR3RKI0fFiGEEOLcJYmsEOcZk07DHYMi+VWXYF7dXExGkYPXt5byZUYlUwdFcmEn81nd8MAZlEBR2u0Upd2OseIIYcfXEHZ8LeayA4QUbiekcDsddr6ELaovMZ1+RdeOoxgbNxZVVTlhP8EBywEOWg5ywHqA49XHybXnkmvPZW3xWgCCtcF0C+7m7bVNDU6VKb+EEOI8JYmsEOepLpEGXhyXwNcHLby7q4zjlS6eXVtInzgj0wZF0jOmkbMbnIY9LIXCsKkU9pqK3nKcsONrCT++lqCSPd5H4u5XqQ7rQmVCOiEJ6XSMuZhLYy4FwOKycNB6kAOWAxywHCDTlonVbWVXxS52VewCQEGhg6kDqcGpdA3qSmpwKp3NnTFoDGcdvxBCiLZNElkhzmMaReGKHqGMSgnm473lfLavkp8K7Px+eR4XJwcxZWAECaHNc/GVM6QjxT1vobjnLeiqCgk7vpaw42sJLtyJqSILU0UWsQfex60LxhI/lMqEdHQJw7kg/AIuCL8AAJfq4qjtKAesB7zJbbGz2DuX7bridQBo0ZJkTqpJboO7khqUSidzJ7TKae5yJoQQot2RRFYIQZBBw+SBkVzZPZR3d5Wx6rCV9dk2NubYGN01hF/3CSOxmRJaAJc5lpJuv6ak26/ROioIzv+B0LyNhOZtQmcvI/z4GsKPrwGgKqIHlQnpWOKHURXVm67BXeka3JXxceMBKHOWkWnN5LDtMIeth8m0ZVLpquRI1RGOVB1hVdEqoOZCspSgFFKDU0k2J5MclEwnUyeZJUEIIdoxSWSFEF4xwToeGhHDNb3C+Of2UnbkVvP1IQsrMi2MSgnmxj5hdI5o3q/s3YYwKpLGUJE0BlQP5tIMQvI2Epq7EXPpPsxlBzCXHSBu/7/waI3YovthjR2EJW4wVZFpROgjGBwxmMERgwFQVZUiRxGHbYfJtGaSacsky5pFlaeKg9aDHLQe9O5bi5YOpg4kByXT2dQZg9NAtDOaCGNEsx6jEEKIliGJrBCijq6RBv40Op6fCqr5aE85205UszrLyposK+mdg5jUN5zUqBYYg6poqIrqRVVULwp7T0NrLyUkr6a3NrhgG3p7CSEFWwkp2Er8T+DWmbHFDMASOxhr3CCqI7qjKFpijbHEGmMZHjkcAI/qIc+e5+25PWo7SnZVNla3lZzqHHKqc7whLN2zlAh9BCnmFDoHdSbZnExnc2cSjAly8wYhhGhj5K+yEKJBfeJMzL3MxKFiO8v2lLMxp4oNR21sOGqjf4KJq3uEMryTGa2f03adidsYSXnyOMqTx4GqYqzMJrhgG8GF2wku3I7OUeGd3gvArQ/BFtUbW3Q/bNF9qYrqg0cfjEbR0MHUgQ6mDlwcfTFQ03Nb4izhiO0I2VXZZNuyyazIpMRTQpmzjJ3Oneys2OmNRYuWBFMCnUyd6Gju6H1ONCbK8AQhhAgQSWSFEGfULdrIH0fFcaTMwb/3lLM+28buvGp251UTG6RlfPdQxnYLIdLcghdTKQr2sBTsYSmUdLsBVA+m8sxTEtudaJ0WQvN/IDT/BwBUFOzhXbFF9cUW3RdbdD8cIZ1AUVAUhWhDNNGGaAZHDMbj8ZCVlUVi50SO2Y95k9ujVUc5VnWMKk+V96Iyyn4OS4OGBGMCHc0d6WjqSCdzJzqaOpJgTMCkNbVcewghhJBEVgjReCkRBh65KJYpA118dbCSbw5ZKLS5eWdXGR/8WMbIzkFc0SOU3rFGNGcxF22jKBqqI7pTHdGd4h6/AY8LU8Vhgor3EFT8I0HFezBYT2Aqz8RUnklU1n8AcBkiqIrsSVVkT6ojelAV2RNnUKJ3syatqWaO2pAe3rLa3ttjVcc4Xn2cY9XHvK9tbhsn7Cc4YT/BFrb4hBipjyTBmECCKYEEYwKJxkQSTAnEG+NlejAhhGgGksgKIZosLkTH1AsiuaV/BN9lW/nyQCUZRQ7WHrGx9oiN+GAtv+oSwqVdgukU3kpfu2t0VEf0oDqiByWp1wOgqy7GXLznZHK7B3PpfnSOMkLzNxOav9m7qksfSlVED8xKAgb9UOyRaThCOsLJO4id2ns7IHyAdz1VVSl1lnp7ao9VHeNY9TGOVx3H4rZQ6iyl1FnKPss+n1AVFKL0USSaEr2JbrwxnlhDLHHGOLnBgxBCNJIkskIIvxm0Cpd1DeGyriEcKrbz5YFKvjtqI9/qZtmecpbtKad7tIHLugRzSUow4abWncfVZYqmsuMoKjuOAkBxOzCVH8JUmoG5LANz6QGM5ZnonJWEFm4jFKDgSwDcWjP2sC7Yw7tSHdYFe1gXqsO74jLFwMneZkVRiDJEEWWIol9YP599W1wW8ux55FbnkmfPI686r+bZnofNbaPYWUyxs5g9lXvqxB2iDam5YO1kYhtriPW+jzXGYtSc/c0qhBDiXCCJrBCiWXSLNjIj3cjdQz1sPlbFmiwr205UcbDYwcFiB29sK6V3rJHhnYK4MMncrPPSNpaqNVAV1ZuqqN6UnixT3A6MFVmYSvbjzNlKvDsXU3kmWncVQaV7CSrd67MNlz70ZHLbtWbMbmhnHCGdcQbFeXtwAUJ0IXTTdaNbcDffGFSVCleFT3Kba8+lwF5Aob0Qi9tS87BZyLJl1XscYbow4oxxROujiTJEEW2IJkof5e01jtBHyM0fhBDnBUlkhRDNyqTTMColmFEpwZRVu1l/xMq3WVYOFjvYU2BnT4GdJdtLSY7Qc2EnM8M7BZEaZWixmQ/ORNUaqI7siS28O1n0pUuXLmjwYLAcx1RxGFP5YYwVhzFWZGGszEHnrERXtIvgol0+2/FoDDhCOmEPTcIRknQywU3CHpqE2xDh04sbrg8nXB9Oz5CedeKxuW0U2gspdBTWeS6wF1DlqaLCVUGFq4JDHKr3mBQUIvQR3gS3NtmN1EcSqY+s2b8unGBtMEpLj2UWQogWJImsEKLFRJi0TEgLY0JaGAUWF5uP2dh0rIof86vJLnOSXeZk2Z4KQg0a+ieYGJhgYkCiicQQXWATLI0OR1gyjrBkKjpd6i1W3HaMlUcxVhzGVJ6FsSILg+UYBssxNB5HTeJbcbjO5tw6M86gRBzBiTiCO+AMTsQRlFjzHNwBjz7YWzdIG0RyUM2dx35JVVWsbqs3uS1xllDsKKbYUUyJs4QSRwklzhLcqts7Pvd0dIqOCH0E4bpwIvQRNa/1J1/rTnmtj5CL04QQbZIkskKIVhEXovMmtRa7my0nqtiUU8X23CoqHR6+P2rj+6O2mrrBWgYmmOkTZyQt1kiH0AAntiepWqN3poTyUxd4XOht+RgtORgqczBajmKszMFgyUFvy0frqkLbQJILNcMVnMEJOM1xuMwxOM1xOM2xOM2xuMyxOM1xePQ1vachuhBCdCF0CepS77Y8qocKV4U3uS12FFPiqHkuc5ZR5iqj3FmO1W3FpboochRR5Cg647GbNWbC9GGE6kIJ1YUSog3xPtvtdorKigjXh9eUnYxRhjcIIVqaJLJCiFYXYtRyaZcQLu0SgsujcrDYwc7cKnblVbO/yE6B1c03mRa+ybQAEGbU0DPGSK9YI2kxRrpHGzDrNWfYSyvS6HCGdMQZ0hESLvRZpLjt6G15GKy56K25GKy5GGy56K0nMFhz0TnKa4YrlFViLjvYwA5O9uqa404mtieTXGMULlMkbmMkLlMULmMkGMK8vaippDa4PYfHQbmznHJXeU2Ce/JR7iz3Jru1ZU7VSZWniip7Ffn2/Po3WM9w3mBtsDfxDdWFEqQNIkgbRIguxPs6WBtMsC7Y+7q2XKO0oZ+vEKLNkkRWCBFQOo1Cr9iaJPXm/lDt8vBTgb0mqS20c7DYToXdw5bjVWw5XgWAAiSG6ugaaaBrlKHmOVJPpFnbJnpuT6VqjThCk3GE1h0qAKBxWtHb8tDb8tFXFXofuqpC9FUF6KuK0Dora3p1K7OhMvv0+1O0uIwRuIy+CW7NcwRuQxhufShGYzhBhjDizMmov7ggzWd7qkqVp4oyZxmVrso6jwpnBQUVBbiNbm+Z1W0FwOq2YnVbybPnNanNFBTMWrNPcmvWmjFrzZg0Jt9nrQmzpubZpDH5vDdrzRgUQ5s7J4QQzUcSWSFEm2LSaRjcwczgDjVzqTrdKodLHewvtLO/yM6+QjtFNjcnKl2cqHTx3cnhCFDTc5sUrqdTmN773ClcR1ywruVv0OAnjz4Ye3gq9vCGe08VV9UvktyCmmd7GbrqErT2UnT2UnSOChTVjb66GH11caNjcOvMNQmuIQy3IfzkcyguQzgefQhuXRCJ+hDc+uCa9/rOeIKCcetDcGlMZB3JrrlITlPTi+pW3VhcFiwuy89Jr7sSm8uG1W3F5q55trpOee22YnPZcKgOVFRsbhs2t40izjzs4XQ0aLxJbm0CbNQYMWgMdZ4bW3bqMr2iR6e0jaEvQpyPJJEVQrRpeq1CzxgjPWOMXHuyrLzaTVapg8wSB4dLHWSVOjlW4aTCXtOb+1OB3WcbBq1CXLCW+JCapDY+ROfzOtzYtr/GVnVmHKGdcYR2Pm09xeNEay9DV30ysbWXoK2uedZVl6JzlKN1lKN1VKJ1VKB1VKLgqentdVWBrYFhA2fQS2NC3R+GR1+T3Hp0wSeT3mA8WhMenfnkw4RHG4xHF4PHZEbVmnDrzKjeZWbsGh1W1YnVU5PIWl01SW6Vu4pqT7X3udr9i9eeKp/nak81AB483qQYp1+H1yg6RYde0aPX1CS2eo3e972iR6fRYVAM6DQ6dOioslURnRONXqv3JsS19XWKDq2irffR0LJGldP2vrUQ4mxIIiuEaHfCTVoGJpoZmPjzHbCqXR6OV7jIKa9Jamufj1c4cbhVjlW4OFbhqnd7Rq1CXIiWIDR0yCsmyqwjyqwlwqwl0qQlyqwl0qwlSK+06SRA1ehxnbxArHEreNA4LegcFScT24qTiW5NkqtzlKNxWtE6rWiclp+fXVY0TisaT01mqPdUQ1U1VDXTcSjaehJgE6rGgEdrRNUaULVGPFrDybKok2UGPAYjqtaIS6OnSqPBpijYFAWrRsWmerApKnZFxY5KNR7seLCrrpqHx4HD48ChOrB77Dg8dZ9Pfa2iemN2qS5cqosqTxMb4ew6nP2iQYNW0aJRNGjQoFE0KCg+78+07JdlTa2jKAqn/lfz/8nX4LMcTi5TFFChoqqC8GPhaDSa026jdpz1L7dR3368y6nn97uBX/l6656mvEnbaMLfmcbE4VE9FNuLOVh4sMHx52fap0ExMCpmVKPjai2SyAohzgkmnYbUKAOpUb7TRLk9KoVWF/lWF/kWF/kWNwW1r60uSmxu7G6VnHIXoCGj3Fb/DqhJeMNNGkKNWkINGkKNJx+Gn8tCTr4P0tc8zHoFs16DLkDz5J6WosFjCMNhCPNvdbcdxV7JiawMkhMi0blsaF2WU5JfKxp3NRpX1c/Prio0rmo0bhuKq7rmtctWs/xkYqyobrQuK1qXtTmP9oxURYuq0aFq9Kc8633LFD2qJgSPRku1Ro9Do8Wh0WLX6mqeFS0ORcGhaHBoNCdfKzgBuwJORcUBOFSVMpsFfbAZpwJOVcWBBycenKi4UHHjwYWKS/XgRsWFB7d6slx1n3z24MaDW3XjUt14apedfJyabNfy4MGjeqhnUftRGOgA2qlj/q8aqguVRLYhr732Gi+++CJ5eXkMGDCAv/3tbwwbNqzB+v/+97+ZM2cOR44coXv37jz//PNceeWVrRixEKK90GoUEkL1JDRwJzGnW6XQ5iK3wsmBnDx0IVGUVXsoqXJTWvuodmNzqtjdKgVWNwVWd5Pj0GvAfGpyq6t5rnmvwaRTMGgVjFoF/clng1bBcLLcoNX4lmlqnmvLdBoFnaZpPTlnS9UacZv0WE0JVEX+PEbWbx5X3YT3ZJKruO1o3HYUtwONx3Hy/SnPnpPL3HYUj6OBZSfLPA7vdk6lqG4Utxvc9gYC9BV6dkfb4lQU3IoGp6LFpdHg1Ghwo8GpaHBpNHgUBbeixY2CW6PFoygnyzS4UfAoNXVcJ589inKyvKaOh1+WKXg4+ayABw1uBTyKBrc3HvCcfK0CqqLgAajpbD1Zrv68vPah1Lz3qCp2hwOD0VhTR6mv7snjV8FT+5pTt1/7WkVVfi6rrVdD8T6pdXo8lVNq+i7znPrpwPu7WH9d9dQPEqcsqvnwUff3uCmfO35ZVwXsdjsGo6HeHtz6tv3LsiBt27w1dsAT2WXLljFz5kwWL17M8OHDWbhwIePGjSMjI4O4uLg69Tds2MDNN9/M/Pnzufrqq3n//feZOHEi27dvp2/fvgE4AiFEe6bXKnQI1ZMQrCWiWqVLl7B6E7Jql4eyKjdl1R4qHR4sdjcVDg8We837SrubSnvtMg82p4cql4rDXfPPgdMDTruHCrunRY9Hq9TMBKHTKugUap41v3itOVmnntdajYJWAa2ioNGcfD7lvfe1UlNXQaWsVCHGXolOq3iXaRQFbT31fd+frHdKfQU9Go0BDeEoCmgMNf/sajSg4eRXwUrNdmvfa06+VxTlZBneGJSab5y9y32oHhSPC8XjrOf5l69/WVa3nuaXy1UnituJorpBdaF43Cdfu8HjpspaSbDJgKJ6UE4uR62po5ys4/vaVfPe47s9Ra3/g5WCik51o1PdNdmjEGfBZYhgf+9AR1GXoqpqQL9cGD58OEOHDuXVV18FwOPxkJSUxAMPPMBjjz1Wp/6kSZOwWq188cUX3rILL7yQgQMHsnjx4jPur6KigvDwcDZu3EhISEjzHUgDPB4PWVlZPlf0isaRtvOPtJt/WqrdXB6VKqeHKqeKzXXy2empKXPVLLM5PVS7VJzuml5fh1vF4fr5tW+55+fXbhWXJCiNpvCLJJfaBLfmvUY5tY7y8zLqJsy1656aQGs0nBwH+vN+auvWbpeT66FCVZWNoKAgn+1RG4N3zOfP6566jZrxnifLVRUNHrSKB63qRocHLW50uNHgqXkoHjSoaKmpq6CiPblMUT1oFBXdyXINKjV9sioa1YNWqXlWUKnpc/V496ng8V2m/rxNpXZfdV7X9slS86z+3E+q1Jarp75XQcVbx15djdloQFHUk92Gp67Pye1zynZPrnvqftSf+2BrY/fdlu863n5cb8ak+vTL1pZ5z7WT2/ftWz1Dv+cv0rGa7ave16fuu8FteN/Wjc/jdqHRan8+tlP3o/68nVP7kU+tZ9cGY56woJ5jaH4Wi4X09HTKy8sJCzv90KeA9sg6HA62bdvG7NmzvWUajYYxY8awcePGetfZuHEjM2fO9CkbN24cn332WUuGKoQQftFplJrxsy30rZzbo+L0qLjcKi6Vk88qLndNEl3z4GRZzevaddyemjq/fO1Ra77CdXvAo4JbrSlzn7pMBY8H3KqH8goLQcEhv6h7Sr1Gbau2bs0/qiqq97VHVWtSn5Pv3ap6sk5N/cZSqd1e7btfLm1tGiirbrltIx9kRfMJM2p4P9BB1COgiWxRURFut5v4+Hif8vj4ePbv31/vOnl5efXWz8urf8Jtu92O3f7zeKeKigqgpvfF42n5rozafbTGvs410nb+kXbzT3ttNwUwaMDgvZisdS8q83g8ZGdXkJwcGbBvAFS1NimuTVZrkuKfk13Vm8B6TibJNQlxbXL8c6LsObkt9ZfvVZpQ5+f37tqeuVM68zxqTbsVFRcTHR1d0616ct3aTj/15ErqKev6bqPudlWfbajeDr7aZL92GzWv1Z/Lf7ldnxh+/sBwpuHXZzrzznhmNmL7qqpSUVlJWGioz1CRxm67tif7l4tOV3bqmNKfy2hkmXLqcNtG7e/nstPH2mAMJ9+cuj9VVSkpqTnfar8BqD+uum1aW6TXKq3297Ep+wn4GNmWNn/+fObOnVunPDs7m6CgoFaLIzs7u9X2da6RtvOPtJt/pN38c661W+1X+i2SmiuAFrrFQUDm32rvogHKAx1F+xMPZ3W+uSErq7mCOT2breHZY34poIlsTEwMWq2W/HzfSbjz8/NJSEiod52EhIQm1Z89e7bPUISKigqSkpJITk5utTGy2dnZJCcny3jFJpK284+0m3+k3fwj7eYfaTf/SLv5p721m8ViaXTdgCayBoOBwYMHs2rVKiZOnAjUNPaqVau4//77610nPT2dVatW8dBDD3nLVqxYQXp6er31jUYjRmPdwWkajaZVf5itvb9zibSdf6Td/CPt5h9pN/9Iu/lH2s0/7aXdmhJjwIcWzJw5kylTpjBkyBCGDRvGwoULsVqt3HHHHQBMnjyZjh07Mn/+fABmzJjBqFGjWLBgAVdddRUffvghW7du5fXXXw/kYQghhBBCiFYW8ER20qRJFBYW8uSTT5KXl8fAgQNZvny594Kuo0eP+mTmI0aM4P333+eJJ57g8ccfp3v37nz22Wcyh6wQQgghxHkm4IkswP3339/gUII1a9bUKbvxxhu58cYbWzgqIYQQQgjRlrX9gRJCCCGEEELUQxJZIYQQQgjRLrWJoQWtqfaOvFartVX25/F4sNlsWCyWdnGlYFsibecfaTf/SLv5R9rNP9Ju/pF28097a7faHK02Zzud8y6RraysBGDMmDEBjkQIIYQQQjSksrKS8PDw09ZR1Maku+cQj8fDiRMnCP3F7e1aSu0NGHJycggLC2vx/Z1LpO38I+3mH2k3/0i7+UfazT/Sbv5pb+2mqiqVlZV06NDhjD3I512PrEajoVOnTq2+37CwsHZx8rRF0nb+kXbzj7Sbf6Td/CPt5h9pN/+0p3Y7U09srbY/UEIIIYQQQoh6SCIrhBBCCCHaJUlkW5jRaOSpp57CaDQGOpR2R9rOP9Ju/pF284+0m3+k3fwj7eafc7ndzruLvYQQQgghxLlBemSFEEIIIUS7JImsEEIIIYRolySRFUIIIYQQ7ZIkskIIIYQQol2SRLaFvfbaa6SkpGAymRg+fDg//PBDoENqU+bPn8/QoUMJDQ0lLi6OiRMnkpGR4VPnV7/6FYqi+DymT58eoIjbhqeffrpOm6SlpXmXV1dXc9999xEdHU1ISAg33HAD+fn5AYy4bUhJSanTboqicN999wFyrtVat24dEyZMoEOHDiiKwmeffeazXFVVnnzySRITEzGbzYwZM4aDBw/61CkpKeHWW28lLCyMiIgI7rzzTiwWSyseRes7Xbs5nU4effRR+vXrR3BwMB06dGDy5MmcOHHCZxv1naPPPfdcKx9J6zvTOTd16tQ67TJ+/HifOnLO1W23+v7eKYrCiy++6K3T3s85SWRb0LJly5g5cyZPPfUU27dvZ8CAAYwbN46CgoJAh9ZmrF27lvvuu49NmzaxYsUKnE4nY8eOxWq1+tS76667yM3N9T5eeOGFAEXcdvTp08enTb777jvvsocffpjPP/+cf//736xdu5YTJ05w/fXXBzDatmHLli0+bbZixQoAbrzxRm8dOdfAarUyYMAAXnvttXqXv/DCC/z1r39l8eLFbN68meDgYMaNG0d1dbW3zq233spPP/3EihUr+OKLL1i3bh2/+93vWusQAuJ07Waz2di+fTtz5sxh+/btfPrpp2RkZHDNNdfUqTtv3jyfc/CBBx5ojfAD6kznHMD48eN92uWDDz7wWS7nXF2ntldubi5vvfUWiqJwww03+NRr1+ecKlrMsGHD1Pvuu8/73u12qx06dFDnz58fwKjatoKCAhVQ165d6y0bNWqUOmPGjMAF1QY99dRT6oABA+pdVlZWpur1evXf//63t2zfvn0qoG7cuLGVImwfZsyYoaampqoej0dVVTnX6gOo//d//+d97/F41ISEBPXFF1/0lpWVlalGo1H94IMPVFVV1b1796qAumXLFm+d//3vf6qiKOrx48dbLfZA+mW71eeHH35QATU7O9tblpycrL788sstG1wbV1/bTZkyRb322msbXEfOucadc9dee6162WWX+ZS193NOemRbiMPhYNu2bYwZM8ZbptFoGDNmDBs3bgxgZG1beXk5AFFRUT7l7733HjExMfTt25fZs2djs9kCEV6bcvDgQTp06EDXrl259dZbOXr0KADbtm3D6XT6nHtpaWl07txZzr1TOBwO3n33XaZNm4aiKN5yOddOLysri7y8PJ/zKzw8nOHDh3vPr40bNxIREcGQIUO8dcaMGYNGo2Hz5s2tHnNbVV5ejqIoRERE+JQ/99xzREdHc8EFF/Diiy/icrkCE2Abs2bNGuLi4ujZsyf33HMPxcXF3mVyzp1Zfn4+X375JXfeeWedZe35nNMFOoBzVVFREW63m/j4eJ/y+Ph49u/fH6Co2jaPx8NDDz3EyJEj6du3r7f8lltuITk5mQ4dOrB7924effRRMjIy+PTTTwMYbWANHz6cpUuX0rNnT3Jzc5k7dy4XX3wxe/bsIS8vD4PBUOcfx/j4ePLy8gITcBv02WefUVZWxtSpU71lcq6dWe05VN/fttpleXl5xMXF+SzX6XRERUXJOXhSdXU1jz76KDfffDNhYWHe8gcffJBBgwYRFRXFhg0bmD17Nrm5ubz00ksBjDbwxo8fz/XXX0+XLl3IzMzk8ccf54orrmDjxo1otVo55xrhX//6F6GhoXWGmbX3c04SWdFm3HfffezZs8dnrCfgM8apX79+JCYmMnr0aDIzM0lNTW3tMNuEK664wvu6f//+DB8+nOTkZD766CPMZnMAI2s/lixZwhVXXEGHDh28ZXKuidbgdDq56aabUFWVRYsW+SybOXOm93X//v0xGAzcfffdzJ8//5y8vWhj/eY3v/G+7tevH/379yc1NZU1a9YwevToAEbWfrz11lvceuutmEwmn/L2fs7J0IIWEhMTg1arrXOleH5+PgkJCQGKqu26//77+eKLL1i9ejWdOnU6bd3hw4cDcOjQodYIrV2IiIigR48eHDp0iISEBBwOB2VlZT515Nz7WXZ2NitXruS3v/3taevJuVZX7Tl0ur9tCQkJdS5qdblclJSUnPfnYG0Sm52dzYoVK3x6Y+szfPhwXC4XR44caZ0A24muXbsSExPj/d2Uc+701q9fT0ZGxhn/5kH7O+ckkW0hBoOBwYMHs2rVKm+Zx+Nh1apVpKenBzCytkVVVe6//37+7//+j2+//ZYuXbqccZ2dO3cCkJiY2MLRtR8Wi4XMzEwSExMZPHgwer3e59zLyMjg6NGjcu6d9M9//pO4uDiuuuqq09aTc62uLl26kJCQ4HN+VVRUsHnzZu/5lZ6eTllZGdu2bfPW+fbbb/F4PN4PB+ej2iT24MGDrFy5kujo6DOus3PnTjQaTZ2vzc93x44do7i42Pu7Kefc6S1ZsoTBgwczYMCAM9Ztd+dcoK82O5d9+OGHqtFoVJcuXaru3btX/d3vfqdGRESoeXl5gQ6tzbjnnnvU8PBwdc2aNWpubq73YbPZVFVV1UOHDqnz5s1Tt27dqmZlZan/+c9/1K5du6qXXHJJgCMPrN///vfqmjVr1KysLPX7779Xx4wZo8bExKgFBQWqqqrq9OnT1c6dO6vffvutunXrVjU9PV1NT08PcNRtg9vtVjt37qw++uijPuVyrv2ssrJS3bFjh7pjxw4VUF966SV1x44d3qvrn3vuOTUiIkL9z3/+o+7evVu99tpr1S5duqhVVVXebYwfP1694IIL1M2bN6vfffed2r17d/Xmm28O1CG1itO1m8PhUK+55hq1U6dO6s6dO33+3tntdlVVVXXDhg3qyy+/rO7cuVPNzMxU3333XTU2NladPHlygI+s5Z2u7SorK9VZs2apGzduVLOystSVK1eqgwYNUrt3765WV1d7tyHnXN3fVVVV1fLycjUoKEhdtGhRnfXPhXNOEtkW9re//U3t3LmzajAY1GHDhqmbNm0KdEhtClDv45///Keqqqp69OhR9ZJLLlGjoqJUo9GoduvWTX3kkUfU8vLywAYeYJMmTVITExNVg8GgduzYUZ00aZJ66NAh7/Kqqir13nvvVSMjI9WgoCD1uuuuU3NzcwMYcdvx9ddfq4CakZHhUy7n2s9Wr15d7+/llClTVFWtmYJrzpw5anx8vGo0GtXRo0fXac/i4mL15ptvVkNCQtSwsDD1jjvuUCsrKwNwNK3ndO2WlZXV4N+71atXq6qqqtu2bVOHDx+uhoeHqyaTSe3Vq5f65z//2SdZO1edru1sNps6duxYNTY2VtXr9WpycrJ611131ekUknOu7u+qqqrqP/7xD9VsNqtlZWV11j8XzjlFVVW1Rbt8hRBCCCGEaAEyRlYIIYQQQrRLksgKIYQQQoh2SRJZIYQQQgjRLkkiK4QQQggh2iVJZIUQQgghRLskiawQQgghhGiXJJEVQgghhBDtkiSyQgjRAqZOncrEiRPPejsZGRkkJCRQWVnZYJ2lS5cSERFx1vtqCxYvXsyECRMCHYYQop2QRFYIcd7ZuHEjWq2Wq666KtChnNHs2bN54IEHCA0NDXQorWLatGls376d9evXBzoUIUQ7IImsEOK8s2TJEh544AHWrVvHiRMnAh1Og44ePcoXX3zB1KlTAx0KAE6ns8X3YTAYuOWWW/jrX//a4vsSQrR/ksgKIc4rFouFZcuWcc8993DVVVexdOlSn+Vr1qxBURRWrVrFkCFDCAoKYsSIEWRkZPjUe+aZZ4iLiyM0NJTf/va3PPbYYwwcOLDB/Xo8HubPn0+XLl0wm80MGDCAjz/++LSxfvTRRwwYMICOHTv6lC9dupTOnTsTFBTEddddR3FxcZ11//Of/zBo0CBMJhNdu3Zl7ty5uFwu7/L9+/dz0UUXYTKZ6N27NytXrkRRFD777DMAjhw5gqIoLFu2jFGjRmEymXjvvfcAePPNN+nVqxcmk4m0tDT+/ve/++w7JyeHm266iYiICKKiorj22ms5cuSITxsPGzaM4OBgIiIiGDlyJNnZ2d7lEyZM4L///S9VVVWnbR8hhEAVQojzyJIlS9QhQ4aoqqqqn3/+uZqamqp6PB7v8tWrV6uAOnz4cHXNmjXqTz/9pF588cXqiBEjvHXeffdd1WQyqW+99ZaakZGhzp07Vw0LC1MHDBjgrTNlyhT12muv9b5/5pln1LS0NHX58uVqZmam+s9//lM1Go3qmjVrGoz1mmuuUadPn+5TtmnTJlWj0ajPP/+8mpGRob7yyitqRESEGh4e7q2zbt06NSwsTF26dKmamZmpfvPNN2pKSor69NNPq6qqqi6XS+3Zs6d6+eWXqzt37lTXr1+vDhs2TAXU//u//1NVVVWzsrJUQE1JSVE/+eQT9fDhw+qJEyfUd999V01MTPSWffLJJ2pUVJS6dOlSVVVV1eFwqL169VKnTZum7t69W927d696yy23qD179lTtdrvqdDrV8PBwddasWeqhQ4fUvXv3qkuXLlWzs7O98VutVlWj0airV69u1M9UCHH+kkRWCHFeGTFihLpw4UJVVVXV6XSqMTExPglTbSK7cuVKb9mXX36pAmpVVZWqqqo6fPhw9b777vPZ7siRIxtMZKurq9WgoCB1w4YNPuvceeed6s0339xgrAMGDFDnzZvnU3bzzTerV155pU/ZpEmTfBLZ0aNHq3/+85996rzzzjtqYmKiqqqq+r///U/V6XRqbm6ud/mKFSvqTWRr26pWamqq+v777/uU/elPf1LT09O9++nZs6fPhwO73a6azWb166+/VouLi1XgtAm8qqpqZGSkNzkWQoiGyNACIcR5IyMjgx9++IGbb74ZAJ1Ox6RJk1iyZEmduv379/e+TkxMBKCgoMC7nWHDhvnU/+X7Ux06dAibzcbll19OSEiI9/H222+TmZnZ4HpVVVWYTCafsn379jF8+HCfsvT0dJ/3u3btYt68eT77uuuuu8jNzcVms5GRkUFSUhIJCQlnjH/IkCHe11arlczMTO68806fbT/zzDPe49i1axeHDh0iNDTUuzwqKorq6moyMzOJiopi6tSpjBs3jgkTJvDKK6+Qm5tbZ79msxmbzdZg2wghBIAu0AEIIURrWbJkCS6Xiw4dOnjLVFXFaDTy6quvEh4e7i3X6/Xe14qiADXjXP1hsVgA+PLLL+uMdzUajQ2uFxMTQ2lpqV/7mzt3Ltdff32dZb9MjM8kODjYZ7sAb7zxRp1kWqvVeusMHjzYO572VLGxsQD885//5MEHH2T58uUsW7aMJ554ghUrVnDhhRd665aUlHjrCyFEQySRFUKcF1wuF2+//TYLFixg7NixPssmTpzIBx98wPTp0xu1rZ49e7JlyxYmT57sLduyZUuD9Xv37o3RaOTo0aOMGjWq0TFfcMEF7N2716esV69ebN682ads06ZNPu8HDRpERkYG3bp1azD+nJwc8vPziY+PP2P8teLj4+nQoQOHDx/m1ltvrbfOoEGDWLZsGXFxcYSFhZ322C644AJmz55Neno677//vjeRzczMpLq6mgsuuOCMMQkhzm+SyAohzgtffPEFpaWl3HnnnT49rwA33HADS5YsaXQi+8ADD3DXXXcxZMgQRowYwbJly9i9ezddu3att35oaCizZs3i4YcfxuPxcNFFF1FeXs73339PWFgYU6ZMqXe9cePG8dvf/ha32+3t8XzwwQcZOXIkf/nLX7j22mv5+uuvWb58uc96Tz75JFdffTWdO3fm17/+NRqNhl27drFnzx6eeeYZLr/8clJTU5kyZQovvPAClZWVPPHEE8DPvc8NmTt3Lg8++CDh4eGMHz8eu93O1q1bKS0tZebMmdx66628+OKLXHvttcybN49OnTqRnZ3Np59+yh/+8AecTievv/4611xzDR06dCAjI4ODBw/6fChYv349Xbt2JTU1tVE/DyHEeSzQg3SFEKI1XH311XUukqq1efNmFVB37drlvdirtLTUu3zHjh0qoGZlZXnL5s2bp8bExKghISHqtGnT1AcffFC98MILvct/OWuBx+NRFy5cqPbs2VPV6/VqbGysOm7cOHXt2rUNxux0OtUOHTqoy5cv9ylfsmSJ2qlTJ9VsNqsTJkxQ//KXv/hc7KWqqrp8+XJ1xIgRqtlsVsPCwtRhw4apr7/+unf5vn371JEjR6oGg0FNS0tTP//8cxXw7qv2Yq8dO3bUieu9995TBw4cqBoMBjUyMlK95JJL1E8//dS7PDc3V508ebIaExOjGo1GtWvXrupdd92llpeXq3l5eerEiRPVxMRE1WAwqMnJyeqTTz6put1u7/pjx45V58+f32C7CCFELUVVVTWgmbQQQpwDLr/8chISEnjnnXeadbuvvfYa//3vf/n666+bdbu/9P3333PRRRdx6NChgPaE/vTTT1x22WUcOHCgTs+5EEL8kgwtEEKIJrLZbCxevJhx48ah1Wr54IMPWLlyJStWrGj2fd19992UlZVRWVnZrLep/b//+z9CQkLo3r07hw4dYsaMGYwcOTLgX+fn5uby9ttvSxIrhGgU6ZEVQogmqqqqYsKECezYsYPq6mp69uzJE088Ue8sAW3V22+/zTPPPMPRo0eJiYlhzJgxLFiwgOjo6ECHJoQQjSaJrBBCCCGEaJfkhghCCCGEEKJdkkRWCCGEEEK0S5LICiGEEEKIdkkSWSGEEEII0S5JIiuEEEIIIdolSWSFEEIIIUS7JImsEEIIIYRolySRFUIIIYQQ7ZIkskIIIYQQol36f4RZ3SbELC3/AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Defining the general inputs for our class\n", "###############################################################################################\n", "\n", "#Initialising the scatter class\n", "Scatter = ans.Scatter_0()\n", "\n", "#Defining the characteristics of the class\n", "Scatter.ISPACE = 1 #Units of the calculations (0 - Wavenumber in cm-1 ; 1 - Wavelength in um)\n", "Scatter.IMIE = 2 #Phase function defined using a combination of Legendre polynomials\n", "\n", "NDUST = 1 #Number of aerosol populations that we want to include in our atmosphere\n", "NLPOL = 100 #Number of Legendre polynomials to describe the phase function\n", "\n", "wavel = np.arange(5.,10.+0.1,0.1)\n", "NWAVE = len(wavel) #Number of spectral points\n", "\n", "NTHETA = 181 #Number of angles for defining the phase function (from 0 to 180)\n", "theta = np.linspace(0.,180.,NTHETA) #Number of phase angles\n", "\n", "#Now we initialise the arrays that will be filled with the calculations\n", "Scatter.initialise_arrays(NDUST,NWAVE,NTHETA,NLPOL=NLPOL)\n", "Scatter.WAVE = wavel\n", "Scatter.THETA = theta\n", "\n", "#Defining the inputs for our calculations of this particle aerosol distribution\n", "################################################################################################\n", "\n", "#Reading the refractive index from the dictionary (Mars mineral dust)\n", "Scatter.read_refind(4)\n", "\n", "#Defining the inputs for our standard gamma particle size distribution\n", "iscat = 3 #Modified gamma distribution\n", "a = 2. ; b = 8.e-3 ; c = 6. \n", "pars = np.array([a,b,c]) \n", "\n", "idust = 0 #The index of the aerosol populations in the class that this calculation corresponds to (from 0 to NDUST-1)\n", "Scatter.makephase(idust,iscat,pars)\n", "\n", "#Making a summary plot\n", "#################################################################################################\n", "\n", "#Plotting the extinction coefficient and single scattering albedo and the double HG parameters\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(12,3))\n", "\n", "ax1.plot(Scatter.WAVE,Scatter.KEXT[:,idust])\n", "ax1.grid()\n", "ax1.set_ylabel('Extinction coefficient (cm$^2$)')\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_facecolor('lightgray')\n", "\n", "ax2.plot(Scatter.WAVE,Scatter.SGLALB[:,idust])\n", "ax2.grid()\n", "ax2.set_ylabel('Single scattering albedo')\n", "ax2.set_xlabel('Wavelength ($\\mu$m)')\n", "ax2.set_facecolor('lightgray')\n", "\n", "\n", "ax3.plot(Scatter.WAVE,Scatter.WLPOL[:,0,idust],label='L$_{0}$')\n", "ax3.plot(Scatter.WAVE,Scatter.WLPOL[:,49,idust],label='L$_{49}$')\n", "ax3.plot(Scatter.WAVE,Scatter.WLPOL[:,99,idust],label='L$_{99}$')\n", "ax3.grid()\n", "ax3.legend()\n", "ax3.set_ylabel('Henyey-Greenstein parameters')\n", "ax3.set_xlabel('Wavelength ($\\mu$m)')\n", "ax3.set_facecolor('lightgray')\n", "\n", "plt.tight_layout()\n", "\n", "#Calculating the actual phase function from our double HG parameterisation\n", "##################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase = Scatter.calc_phase(theta,Scatter.WAVE)\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(Scatter.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "Scatter.check_phase_norm()\n" ] }, { "cell_type": "code", "execution_count": 18, "id": "7d0cb8e5-6494-4b3c-bfdd-fb578ba47558", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normalisation of phase function should be 1.0\n", "Minimum integral of phase function is 1.000011255322207\n", "Maximum integral of phase function is 1.0000491675803809\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Writing the properties into HDF5 file\n", "#################################################################################################\n", "Scatter.write_hdf5('example')\n", "\n", "#Reading the HDF5 file with another class and checking that the information is correctly stored\n", "#################################################################################################\n", "ScatterX = ans.Scatter_0()\n", "ScatterX.read_hdf5('example')\n", "\n", "#Making a summary plot\n", "#################################################################################################\n", "\n", "#Plotting the extinction coefficient and single scattering albedo and the double HG parameters\n", "fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(12,3))\n", "\n", "ax1.plot(ScatterX.WAVE,ScatterX.KEXT[:,idust])\n", "ax1.grid()\n", "ax1.set_ylabel('Extinction coefficient (cm$^2$)')\n", "ax1.set_xlabel('Wavelength ($\\mu$m)')\n", "ax1.set_facecolor('lightgray')\n", "\n", "ax2.plot(ScatterX.WAVE,ScatterX.SGLALB[:,idust])\n", "ax2.grid()\n", "ax2.set_ylabel('Single scattering albedo')\n", "ax2.set_xlabel('Wavelength ($\\mu$m)')\n", "ax2.set_facecolor('lightgray')\n", "\n", "ax3.plot(ScatterX.WAVE,ScatterX.WLPOL[:,0,idust],label='L$_{0}$')\n", "ax3.plot(ScatterX.WAVE,ScatterX.WLPOL[:,49,idust],label='L$_{49}$')\n", "ax3.plot(ScatterX.WAVE,ScatterX.WLPOL[:,99,idust],label='L$_{99}$')\n", "ax3.grid()\n", "ax3.legend()\n", "ax3.set_ylabel('Henyey-Greenstein parameters')\n", "ax3.set_xlabel('Wavelength ($\\mu$m)')\n", "ax3.set_facecolor('lightgray')\n", "\n", "plt.tight_layout()\n", "\n", "#Calculating the actual phase function from our double HG parameterisation\n", "##################################################################################################\n", "\n", "theta = np.linspace(0.,180.,181)\n", "phase = ScatterX.calc_phase(theta,ScatterX.WAVE)\n", "\n", "#Plotting the phase function for three wavelengths\n", "fig,(ax1) = plt.subplots(1,1,figsize=(7,3))\n", "\n", "iwave = 0\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(ScatterX.WAVE[iwave])+' $\\mu$m')\n", "iwave = int(Scatter.NWAVE/2)\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(ScatterX.WAVE[iwave])+' $\\mu$m')\n", "iwave = Scatter.NWAVE - 1\n", "ax1.plot(theta,phase[iwave,:,idust],label='$\\lambda$ = '+str(ScatterX.WAVE[iwave])+' $\\mu$m')\n", "\n", "ax1.set_xlabel('Angle (degrees)')\n", "ax1.set_ylabel('Phase function')\n", "ax1.set_facecolor('lightgray')\n", "ax1.grid()\n", "ax1.legend()\n", "plt.tight_layout()\n", "\n", "ScatterX.check_phase_norm()\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 5 }