{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fresnel equations\n", "\n", "Here, we check the functioning of Fresnel equations, that is, how a plane wave reflects and refracts on a plane surface. The refractive index of the media are n1 for the incicent media and n2 for the second media. The second media can be absorbent $n_c = n + i \\kappa$.\n", "\n", "For the computations, we have used two ways: \n", "\n", " - fresnel_equations_kx: When the plane plane is defined as k = (kx, kz).\n", " \n", " - fresnel_equations: When the plane wave is define by the angle. \n", "\n", "We have also methods to determine the reflectance and transmittance.\n", "\n", " - transmitances_reflectances_kx\n", "\n", " - transmitances_reflectances\n", "\n", "One of the parameters of the funcions is 'ouput'. It admits a list of 4 booleans to check whether we want to compute this parameter or not. The order is:\n", "\n", " - t_TM, t_TE, r_TM, r_TE\n", "\n", "\n", "Also, inside each method, we can obtain the drawing of the Fresnel equation or the reflectance. The parameters are:\n", "\n", " - has_draw: boolean\n", " - kind: 'amplitude_phase' or real_imag" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from diffractio import um, mm, degrees\n", "from diffractio.utils_optics import (\n", " fresnel_equations_kx,\n", " fresnel_equations,\n", " transmitances_reflectances_kx,\n", " transmitances_reflectances,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fresnel with kx\n", "\n", "We introduce the vector kx, which is useful mainly for algorithm programming." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "wavelength = 0.6328 * um\n", "n1 = 1\n", "n2 = 1.5\n", "\n", "n2c = 1 + 5j\n", "\n", "k0 = 2 * np.pi / wavelength\n", "\n", "\n", "theta = np.linspace(0.01, np.pi / 2 - 0.01, 361)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Here is the kx parameter, which need to be computed in the input side.\n", "\n", "kx = k0 * n1 * np.sin(theta)\n", "\n", "\n", "t_TM, t_TE, r_TM, r_TE = fresnel_equations_kx(\n", " kx, wavelength, n1, n2, has_draw=True, kind=\"real_imag\"\n", ")\n", "t_TM, t_TE, r_TM, r_TE = transmitances_reflectances_kx(\n", " kx, wavelength, n1, n2, has_draw=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fresnel with angles $\\theta$\n", "\n", "This case is more suitable to understand what happens at the boundaries of a surface" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "wavelength = 0.6328 * um\n", "n1 = 1\n", "n2 = 1.5\n", "\n", "n2c = 1 + 5j\n", "\n", "k0 = 2 * np.pi / wavelength\n", "\n", "\n", "theta = np.linspace(0.001, np.pi / 2 - 0.001, 361)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $n_2 > n_1$ " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t_TM, t_TE, r_TM, r_TE = fresnel_equations(\n", " theta, wavelength, n1, n2, [1, 1, 0, 0], has_draw=True, kind=\"real_imag\"\n", ")\n", "\n", "T_TM, T_TE, R_TM, R_TE = transmitances_reflectances(\n", " theta, wavelength, n1, n2, has_draw=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can se Brewster angle." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $n_2 < n_1$ " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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lKCIiIhFBSbTIIdSpA8cd55dcmZm+QnnhQvjiCz+gR+7Q1LGxfgz5li3b8eOPPrFu1aqQ1hrx8b46u3dv+P3v/b7du33G/sUXeYn1rFn+WFSUbwIyaBAce6zvZanaahERkbBREi1SSomJPocNHi1kyxaYN88n1J9/Dm+91fRAYt2smU/Cjz8eUlL8CHmFNoFOSMir0s71888+qf70U/jkE5gyBf76V3+sbdu8dikpKX74PbWtFhERCQkl0SLlICkJhg/3C8D7739C/frHM2+ez30//th3Xswtm5tUH388dOkSNIZ1QfXqwSmn+AX8JDGLF/uLfvKJH3LvH//wx1q2hJNOghNP9MthDFIvIiIiJaMkWqQCxMS4A601rrzSt6Fevdon0x9/DKmpflQ8gEaN/Agiublyq1aHuHBsbF5b6euv9xdetQo++gjefx9efx2mTvVlu3alXceOvv3J4MF+PECRADMbCjyBH5r07865BwocjwP+AfQGtgHnO+fWBx1vBawAJjrnHglV3CIikUJJtEgImPlhp9u3h8sv97nvunV5CfX77+cl1R075iXUKSm++cghL9yxo1/GjfMdExcv9hf84AOavvEGvPoqxMX5RPq3v/VLmzYV/p4lcplZNPA0cDKwEfjSzGYXGKd/DLDDOdfOzEYCDwLnBx3/C/B2qGIWEYk05TN5uIiUiplv0jx6NLz4Imzc6Mer/stfIDnZDy09bBg0aOAT6fvv90Pv5ZuqqDDR0b76+6ab4N13+fSNN+C992D8ePj2W7jqKn+Drl3h5pvhf/+DfftC8ZYlsvQDVjvn1jrn9gLTgeEFygwHXgysvwKcaOYb3ZvZmcA6YHlowhURiTyqiRaJAGZ+SvIjj/StNLKy4LPP4N13/XLrrX5p0wZOPx3OOMO3p65R49DX3V+jhs/CTzoJHnvMN/146y0/Tt+jj/ph9Ro2hLPOghEjfG11bGwo3rKEV3NgQ9D2RqB/UWUCM9P+AjQ0syzgJnwt9g1F3cDMxgJjAZKSkkhNTS234A9XZmam4oigGBRH5MZRp04dMjIywh0GOTk5IY0jKyurVD9/JdEiESg+3uezgwfDAw/4+VreegveeMPXUj/1FNSuDUOG+Brr007zbauL1aGDX66/3g+C/e67vh31jBn+wvXq+d6RI0bAySf7ZiAi+U0EHnPOZdohRoNxzk0GJgP06dPHpaSkhCS4Q0lNTUVxRE4MiiNy41i0aBG1a9cOdxhkZGSENI74+Hh69uxZ4vJqziFSCTRr5oeTnj0btm3zryNH+pHvRo3yI36ccAI88wz8+GMJL1qnjk+W//Uv+Oknn6EPH+7Hph42zM++eNll8MEHeZPASFWxCWgZtN0isK/QMmYWA9TFdzDsDzxkZuuB64BbzeyqCo5XRKqhTZs2MWPGjHCHUSQl0SKVTM2aPsedPNm3pf7iC7jlFti82Y8E0qyZb8Hx9NOwfXsx7T1yxcf7diIvvOAHvX77bTjnHD/v+UknQevWvp31smUV+dYkdL4E2ptZspnVAEYCswuUmQ2MCqyPAD503rHOuTbOuTbA48B9zrmnQhS3iFQjqampfPXVV+EOo0hKokUqsagoP9rdPfdAWprvfHjHHb5i+aqrYMSIARx/vE+ot24t4UVr1IChQ+H553219owZ0LOn7/XYrVve+k8/Veh7k4rjnNsHXAXMBdKAl5xzy83sLjM7I1BsCr4N9GpgAnBzeKIVkerok08+4dZbb+WVV16hR48erF27NtwhHURJtEgVYeYH3fjzn2HFCl9pfOml35Ge7hPqZs18DfZLL/kZxkskIQHOO8839fjhB3jySYiJgf/7P2jRwrcp+fDDEgwbIpHGOTfHOdfBOfcb59y9gX13OudmB9aznHPnOufaOef6OecO+h/MOacxokWkQgwaNIhevXoxa9YsFi9eTNu2bcMd0kHUsVCkijrySLjssvW88EIbli6Ff/4T/v1vPzBHnTpw7rlwySVw7LGHmDExWOPGcPXVflmxwrcn+cc/fE11+/a+0fZll/lyIiJSJVx3nZ9+oDz16AGPP158udWrV9OpU6eD9k+ZMoUxY8YUed7UqVOZP38+c+fOZciQIfTs2ZPJkyfTt29fAMaMGXNgvSxUEy1SDXTrBg89BN9/74eNPussn/umpPhho++4A9avL8UFu3TxT8BNm3winZQEf/yjr50eNar8n7giIlKtpKenU6dOHWJiDq7v3VpM+8TRo0dz3333MXjwYCZNmsRpp51G3759mTRpEpMmTSqXBBpUEy1SrURH+36CJ53k20nPmuVz4Hvv9cuQIb5CediwEg4XnZDgq7MvucTXTj/zjO+c+I9/+IGsr7/ed1gUEZFKqSQ1xhVh/fr1NGnS5LDPX7hwIb179z6wnpaWxrhx42jSpAkTJ04slxhVEy1STdWqBRdeCO+846cgv+MO3476nHOgZUs/4seaNaW4YJcufgDrDRvg4Yf9Rc88Ezp2pPmrr8LOnRX1VkREpIrp1KkT27Zto2vXrnz22WelPr9gEv34448zadKkckugoZySaDMbamYrzWy1mR3Ug9vMLjOzrWa2OLBcHnRslJl9G1hGFTxXRCpe69a+Q+L69b7NdP/+Pg9u187XWr/+eimGiq5fH264wWfgL78MSUm0f+opP93ifffBL79U3BsREZEqITExkdTUVJYtW8bAgQMBePbZZxk5ciTTpk1j5MiRvPLKKwBs2bKFKVOm5Dt/yZIldO/eHfBJ9NNPP824ceN47bXXyi3GMjfnMLNo4Gn8FLAbgS/NbLZzbkWBojOcc1cVOLcB8CegD+CAhYFzd5Q1LhEpveho+O1v/bJpE0ydCn/7m29D3aaNH4d6zBifJxcrJsZP5jJiBF899RS93n4bbrvNN86++mq49toSTrMoIiIC48ePZ/z48QftX7RoEcnJyfn2TZs27cD6nDlzKiSe8qiJ7gesds6tdc7tBaYDw0t47hDgPefc9kDi/B4wtBxiEpEyat4cbr/dVyi/+qqvrb7xRt93cNw43wS6pH7t2tXPW75woa/avucen5XfcEMpBrAWERE52NChQxk8eHDI71seHQubAxuCtjfip4Ut6BwzOw5YBVzvnNtQxLnNC7uJmY0FxgIkJSWRmppa9sjLIDMzM+wxKA7FEao4GjSAiRNh9epavPZaC6ZOPYLnnoumT5/tjBy5gV69dmBWwjiuuoqap59Oq//8h6THHiPnmWfYeO65bDjvPHJq1SpzrIcSKb8XERGp/EI1OscbwDTn3B4zuwJ4ESjVnwzOucnAZIA+ffq4lJSUcg+yNFJTUwl3DIpDcYQ6jpQUuPxySE/3zTz++tcG3HBDA3r18rOCn3OObxJSojguuwzS0oi5807a/OMftHnrLd+b8Q9/8KN+VIBI+b2IiEjlVx7NOTYBLYO2WwT2HeCc2+ac2xPY/DvQu6TnikjkadTI57vr1vlkOjMTzj8fOnaESZNKMSNi586+8+GCBdCnj2/e0b69nxlm//4KfQ8iIiJlUR5J9JdAezNLNrMawEhgdnABM2satHkGkBZYnwucYmb1zaw+cEpgn4hUAnFxvmZ6xQrfbrphQxg/3jd3fuAByMgo4YV69/Zj7aWm+vnJL70UBgyAzz+vwOhFREQOX5mTaOfcPuAqfPKbBrzknFtuZneZ2RmBYteY2XIzWwJcA1wWOHc7cDc+Ef8SuCuwT0QqkehoOPtsmDcPPvzQT+l6yy1+NsQHH4Tduwtp41GY44/3F3nxRT/e9MCBfjDrDRuKP1dERCSEymWcaOfcHOdcB+fcb5xz9wb23emcmx1Yv8U5d6Rz7ijn3AnOuW+Czn3eOdcusEwtj3hEJDzM4IQTYO5cX4ncty/cfDNccEF/HnqohPOtREX5muhVq/zwIK+95tuJPPAAZGdX+HsQEREpCc1YKCIV4uij4e234bPPoEOHTG66yddMP/ww7NpVggskJsLdd8M338Cpp/qq7Z494dNPKzx2ERGR4iiJFpEKNWAAPPTQ13z6qW/m8cc/+pkQ//Y32LevBBdo3do3uJ492zeyHjQIxo6F7Wr5JSIi4aMkWkRCYuBAePdd+O9/fcfDsWOhe3eYNQucK8EFhg2D5cv9CB7PP+9H9ghM+SoiIhJqSqJFJKSOPda3yJg5049id+aZcNxxJRyIIzHRtwdZuBBatoRzz/UdD1UrLSIiIaYkWkRCzgzOOguWLfPjSq9e7Wuqzz7brxfrqKN81n3XXX6c6dxpxUVEpErKyckJdwgHURItImETEwNXXAHffuvz4ffegyOP9CN6FDvGdGws3HEHfPGFn/3l9NNhzBj49deQxC4iIhXr0ksv5YorruDoo4/m/vvvD3c4B1ESLSJhl5jo8+FVq2DkSD+2dMeOJZy4sGdP+PJLuPVWeOEFP3HLV1+FImwREalAy5cvJykpiXnz5nH77beHO5yDKIkWkYjRtKmfZ+Xzz6FFCz9c9DHH+Bz5kOLi4N574eOPISvLDwny5JMl7LEoIiKHlJJS/PLII/nLv/CCX09PP7hsCWRlZbFjxw7uvPPOA/syMzOZOHEiN9xwQ6HnTJ06lXHjxpGcnMy4ceN47rnnAGjVqhWzZ/vJtO+77z5SShhDcZREi0jEOfpoP3Hh1Kmwbh306wfjxsGOHcWcOGgQLF4Mp5wC117rG1mr06GISKWzfPly+vTpQ0xMTInPGT16NPfddx+DBw9m0qRJXHHFFWzYsIGBAweydOlS1q9fz5o1a+jVq1e5xFjyyEREQigqCi67zOfBf/qTr1h+/XV47DHf5MOsiBMbNvRjSj/xhB+UumdPeOkl6N8/hNGLiFQhqamHX75Ro9KfDyxdupSuXbuW+ryFCxfSu3fvfNvDhg1j/vz5PPLII6SkpBAVVT51yKqJFpGIVqeOT5y//NKPanfhhTBkCKxZc4iTzOC66/x0idHRfgy9KVNCFbKIiJTR0qVLOfLII0t9XmFJdO/evdm0aRMDBgxg1apV+Y6XhZJoEakUevXyTTyefNK/du3qm0FnZx/ipD59YMECOP54uPxy2j/+OOzdG6qQRUTkMD366KOcc845xZbbsmULU4IqSZYsWUL37t0PbK9atYoOHTowffp0LrroogPb5UFJtIhUGtHRcPXVkJbmR7S7/XbfXnrx4kOc1KABzJkDN9xA81mz4MQTYcuWUIUsIiIVaNGiRSQnJx/YnjZtGgkJCQe2Z8yYQVRUFLGxsfm2y4OSaBGpdJo393OsvPYabN4Mffv6dtNFVjLHxMDDD7Pi9tv9bIf9+/spxEVEpNKIioqiTp061KtX78C+oUOHMnjw4PDEE5a7ioiUgzPPhBUrfEfDu+7yyfShhoj+6cQT4X//gz17/Nh5H3wQslhFRKRsatasyYQJEyJmzGgl0SJSqTVo4CdlmT0btm71zTvuuOMQtdK9e8P8+X4g6qFD/Th6IiIipaQkWkSqhGHDfAuNiy6Ce+6BgQNh5coiCrdqBZ9+6gf9/93vfNatiVlERKQUlESLSJVRv76f8fDVV/0kLb16wXPPFZEf163rOxz+7nc+6/7DH0owx3jVYWZDzWylma02s5sLOR5nZjMCx+ebWZvA/pPNbKGZLQ28hqcxoohImCmJFpEq5+yzYelS3+x53Djfdnrr1kIKxsbC3/8ON90EkybBJZcUM2Ze1WBm0cDTwKlAF+ACM+tSoNgYYIdzrh3wGPBgYH86MMw51w0YBfwzNFGLiESWckmiS1CjMcHMVpjZ12b2gZm1DjqWY2aLA8vs8ohHRKRZM3jnHT9Ry9y50K0bzJ/f4OCCZvDAA3D//fCf//gMfPfu0AccWv2A1c65tc65vcB0YHiBMsOBFwPrrwAnmpk55xY5534I7F8OJJhZXEiiFhGJIGVOoktYo7EI6OOc645/GD8UdGy3c65HYDmjrPGIiOSKivITF375JTRuDDff3J2bbiqisvnmm31t9FtvwamnQkZGqMMNpebAhqDtjYF9hZZxzu0DfgEaFihzDvCVc25PBcUpIhKxYsrhGgdqNADMLLdGY0VuAefcR0Hl5wEXl8N9RURKpFs3n0iff/4mHnqoOZ9+CtOm+WnE87niCt9W+uKL4be/9W2mExPDEnOkM7Mj8U08Tini+FhgLEBSUhKpqamhC64ImZmZiiOCYlAckRtHnTp1yIiAioScnJyQxpGVlVWqn395JNGF1Wj0P0T5McDbQdvxZrYA2Ac84Jx7vbCTIu2BHCkfdMWhOBRHyf3+95kcddQvPPJIB7p2ddx6axr9+2/PX6hJExrfdhtd7rmHXwYN4uv772d/0OxXVcQmIPhPiBaBfYWV2WhmMUBdYBuAmbUAXgMudc6tKewGzrnJwGSAPn36uJSUlPKM/7CkpqaiOCInBsURuXEsWrSI2rVrhzsMMjIyQhpHfHw8PXv2LHH58kiiS8zMLgb6AMcH7W7tnNtkZm2BD81saWEP5Uh7IEfKB11xKA7FUbo47rqrCxdfDOee65t33Hwz3H23n9TwgJQU6NyZehddxHEPPeSbeNSsGa6wK8KXQHszS8YnyyOBCwuUmY3vOPg5MAL40DnnzKwe8BZws3Pu09CFLCISWcqjY2FJajQws5OA24AzgtvPOec2BV7XAqlAyf8EEBE5DB06wLx5MHas71M4eDBs2VKg0MiRfhaX//7XD0K9a1dYYq0IgTbOVwFzgTTgJefccjO7y8xy+6ZMARqa2WpgApDbafwqoB1wZ1Cn8CNC/BZEpJrJyckJdwgHKY+a6GJrNMysJ/AcMNQ591PQ/vrALufcHjNrBBxD/k6HIiIVIiHBjyF9/PFw+eV+IsOZM/2MhwdceKEfZPqSS+C88+C11/yweFWAc24OMKfAvjuD1rOAcws57x7gngoPUESqvUsvvZQjjjiCJUuWcPrpp0fMdN+5ypxEO+f2mVlujUY08HxujQawwDk3G3gYSAReNjOA7wMjcXQGnjOz/fha8QeccysKvVGwjRvhj3/0Xe/N/GvB9aFD/f+GW7fC88/7gWI7doTvvvP/U8bE+P8Ma9Twr8FLjRrQsyckJcEvv8C330KnTr6DUUYGbN9OjW3bYPt2/z9xfLy/t4hUOhdeCEce6R8Rxx4Lzz7r51854KKL/L/78eN9tj11qn/GiIhIhVq+fDndunVj3rx54Q6lUOXSJroENRonFXHeZ0C3Ut9w61Z46ik/u9j+/b6mKHc9V4MGPonevNkPXdWunU+iv/kGJkwo/h6vvALnnAOff+6Hu/rsMxgwwO//3e8YWLB8fLxfEhL88sorPhF/5x34y1/818JJSb5t5Rtv+DKJiX6pXfvg9V69IC4OsrJ8gl6jhhJ1kQpy1FGwYAGcfz6MGQMLF/rxpWvUCBQYN84/d+68E444Ah5+OKzxioiEUkm6tJx+OtxwQ175yy7zS3o6jBiRv2xJ+plnZWWxY8cO7rzzzoOOTZkyhTFjxhR57tSpU5k/fz5z585lyJAh9OzZk8mTJ9O3b18AxowZc2C9LELasbDc9Ozp/8crjHP55/jt2tW3Zcz9CnbwYNixA/bt84PFZmfD3r1567nbHTr48r16wezZviYa/BRoU6awatkyOrRq5ZPc3bv9Erxep44vn53ta7Fya65WrvQ14bt3w86dRcxHjK9tb94cHnoI/vQnf52YGLj9dv+Vcp06UK8enffuhZdegnr1/FK/vn895xx/z/R0n3w3LDi8q4gEa9jQ/817yy3wyCPw9dfw8svQpEmgwO23w08/+YNHHAE33hjWeEVEqrLly5fTp08fYmIOTlW3FjoFbZ7Ro0czfPhwsrOzmTRpEhs2bGDRokVMmjSpXGOsnEn0oZjlr7GNivK1vrliY32SWVJHHOE7FeXq0AE6dOCH1FQ6lORPs2HD8p8/YUJeTbhzPpnOyIDMzPyvjRv7Miee6Gukcz9ErVpB586+mUl6OrU3b4YlS+DnnyG30X2NGnl/9t1wA3z4IXz/vd++7DKfHTRq5O/RqFH+9caNfdbQsWPJf0YiVURMjK9k7tXL10j37QtvvulrqjGDJ57wf5j+8Y/+2TBqVLhDFhGpcKUdoTS4fKNGpT8fYOnSpXTt2rX0JwYsXLiQ3r17H1hPS0tj3LhxNGnShIkTJx72dYNVvSS6MjHzw2bVrOmbehTmmGP8kmvsWL8EfJE7dJhzvmb755/h11/z/pC47DI4+eS889u1g23b/FfTa9f6hOCXX/LfM7fZC8Dw4b55yb//7bfvv99fu2lTn2w3beqX4KY0IpXcBRf4L5+GDfP//KZP919VEhUFL77o//38/vfQpo3vmSgiIuVq6dKldOtW+ha/uRYuXMgJJ5xwYP3xxx8v1RjQJaEkuqowy2tXHaxgbXlhPVv37vWJdXq6Tw6Cm5j07+/beueaPBnWrz/oEsdFR+cl1r/9LeT+lTdzpk/KjzzycN6VSNj07AlffOET6eHDfdeGa64Bq1HD93kYMADOPhvmz/d/nIqISLl59NFHD5qt8Nlnn+Xjjz8mLS2NxYsXM2LECEaMGMGWLVt4880387WTXrJkCddeey3gk+jNmzcTExPDkCFDOOuss8olRiXR4pt/5NYoF3Trrfm3163zNd4//ug7bW7eDD/+yIZ582hdo4bfzq2Vds4PfXD11f478sxMn2y0bOmbpeS+5i5t2/qGqepAKRGiWTM/TPTFF8N118GqVb5FR0y9er6dR//+vor68899fwQREakw48ePZ/z48QftX7RoEcnJyfn2TZs27cD6nDlzCp5SLpRES+nVqgW/+Y1fAtZ160brwtqIL12a1yZ971444wzfPjstDebO9Ql5sDp14N574aqrfNvw//wHhgzxX5uLhEGtWvDqq77D4UMPwZo1MGMG1P3Nb3wn3xNP9NMfvv12lRlDWkSkMhk6dGhY7qskWiqOGbRvn7fdoIFvDpLLOd+Ge8MG30Rk7Vq/5HZqXLXKDy02c6ZPoj/6yPf2atfON1gNXpo2VQ22VJioKHjwQf9xHj8eBg3yI3k0P/ZY+NvffN+Da67xg0yLiEi1oCRawsfMfwVevz50737w8Z49fa117tfkiYn+6/PVq+GFF3xNda7ataFjRzrVr++HBmzf3o98kjupjkg5uPxy//fc2WfDwIE+ke48apT/ZuXBB/1wHvlmahERkapK025J5IqK8u2mcztL9u0L06bBl1/6EUU2boT33/cT74waBfXqUW/x4rzz//53f27ueJJffAHvvuvbcxc1PrdIMU46CT7+GPbs8TXSn3+Ob4J00knwhz/4mVpERKTKU020VE5mvsa5eXPfJjVgXmoqKblNSPr29eP5Nmrkt598Mm+ovsaNfe13t27+tXdv6NIlbzxukUPo2dNPYjpkiP/4vfRSNKf/5z/+c3TOOT6R1gRHIiJVmmqipeo6+mi4++68ttJPPunbVT/xhO/g+Ouv8Nxz/uv3o47ynRpPPTXv/C1b8iawESmgbVv49FM/euOZZ8LzbzT2PRA3b/aj0uizIyKVmKtm39gezvtVtZtUHw0a+HGzg0cRycnxbawXLvRTyQdPGjN0qG9OMnu23547108j37x5KKOWCHbEEf7vshEjfJ/XLff15ZannvITIj3wANx2W7hDFBEptZycHLZt20bDhg2xatBp3znHtm3biA+eF6MElERL9RYd7UcD6djR1x4Gu+EGXzsNvhPjaaf5JLt1a98YNnc2ySOP9NeRaikxEd54A0aP9sOqZ9x8OfdekIr96U/+D7bgGUdFRCqBnTt3kpGRwdbcPkVhkpWVVerE9nDFx8fTokWLUp2jJFqkKBddlLeekOB7kH36qV8++CCvfXWdOn72ukGD/HjBuUP0SbURGwv/+IcfU/r+B4yd457nsdZfEHXhhbB4sSZiEZFKxTl30OQl4ZCamlruU3WXJ7WJFimJmBjo1w+uv95P+fzDD37WjX/8Ay64ADZtgjvv9E1CgPgffvCzNIb5r3gJnagomDQJJkyAJyfF8fsjPyNn049+XLxq1rZQRKQ6UE20yOEw8z3L2raFSy7x+7Zvh7g4AOp+/bUfN/jcc/1IIO+95yePOeWU/BPQSJViBo884pt43HVXY3b2WMI/Z3Yj9rnn/MRBIiJSZagmWqS8NGjgv88Htgwd6kdpyJ2u/LXX/FTmHTr4JPraa31Hxays8MUrFcIM/vxnP0X4jMWdOKfxf8macKvvwCoiIlWGkmiRitKkSd7600/7JOqpp3wiPXmyH/2jYUMYNsxPF/3dd+GLVcrdjTf6X/sbWwdwZvZLZF06VsPeiYhUIeWSRJvZUDNbaWarzezmQo7HmdmMwPH5ZtYm6Ngtgf0rzWxIecQjEnHM4De/gSuvhLfe8k0/3nrLD+mwbJmf6S63WQj42Ril0vvDH2DKFHg350SGf34Tux94ItwhiYhIOSlzEm1m0cDTwKlAF+ACM+tSoNgYYIdzrh3wGPBg4NwuwEjgSGAo8EzgeiJVW0KCHzLvqadg7VpIS4PHHvPHduyA5GTfMRH8sHrqmFZp/e53MOXv8B4nM/yO7uEOR0REykl51ET3A1Y759Y65/YC04HhBcoMB14MrL8CnGh+9O7hwHTn3B7n3DpgdeB6ItWHGXTq5KeMBj/m9GOP+SQb4P33fS32H/8IX38dvjjlsI3+nfH8k5m87waHOxQRESkn5TE6R3NgQ9D2RqB/UWWcc/vM7BegYWD/vALnFjodnJmNBcYCJCUlkZqaWg6hH77MzMywx6A4qnAcXbv64fFSU6m7ciWtjjiC+n/5C1EPP0xmcjI/nXQSW048kT1JSRUbRzlRHNCmG9x19q/cMTMstxcRkXJWaYa4c85NBiYD9OnTx6UET90cBqmpqYQ7BsVRTeJISYGrr4b0dHj5ZRL/9S8S//Y32v7tb3DssX5SmPPOK3RCjyr586jEcaSkwB1VfwZdEZFqoTyac2wCWgZttwjsK7SMmcUAdYFtJTxXRAAaNYLx4/2MiWvXwj33+NrqceN8Mi0iIiIhUx5J9JdAezNLNrMa+I6CswuUmQ2MCqyPAD50zrnA/pGB0TuSgfbAF+UQk0jVlpwMt90GK1bAl1/6GT4A9uyBY46BN94Ib3wiIiJVXJmbcwTaOF8FzAWigeedc8vN7C5ggXNuNjAF+KeZrQa24xNtAuVeAlYA+4ArnXMaSFWkpMygT5+87R9/9PsCMyfG/fQTpKbC8cf7/SIiIlIuyqVNtHNuDjCnwL47g9azgHOLOPde4N7yiEOk2mvdGj755MBms1mz4D//ge7d4Zpr4MIL/fB6IiIiUiaasVCkCvvu0kv9bB8Al18OLVvCrbfChg2HPlFEREQOSUm0SBW2Py7Oz/axeDF89JHvgPjgg75N9SWXwPLl4Q5RRESkUlISLVIdmPnx1V57DVav9kPmzZzpx6N+/PFwRydhYGZDzWylma02s5sLOR5nZjMCx+ebWZugY7cE9q80syEhDVxEJEIoiRapbpKT/YyI338Pf/4znHKK379iBbzzjqYYrwbMLBp4GjgV6AJcYGZdChQbA+xwzrUDHgMeDJzbBd85/EhgKPBM4HoiItVKpZlsRUTKWcOGcOededtPPAHTp8N330G9emELS0KiH7DaObcWwMymA8PxIyXlGg5MDKy/AjxlZhbYP905twdYFxh1qR/weVE3S1u4iz628JABtYrZxPZarQDI/CWH5NiNbK3Zmvh9maTvLL4zbMHybWpsIj2hFXWy0/lhV+5ERIlA4XEULN8q/ke2xzWnwZ5NfJ/VpNj7FyzfrOYOfo1tRKPd37N+b8GJeA+Oo2D5RrV2kxWTSONd37Euu0Wx9y9YPrGu/7umwc7v+X5fYRMB548huPy2nHpYnToA1MncxA85h37/tWxnvvJ79tdgT53GAMT9upVtrsEhzk6kob2Xr3xc1F5+TfQxu19/Zaerdcj7N4v+MV/5htE/5/ssFadVzCZ+imtGTMziCvzsFS1/+Xq0in+rAj97Byvss5dJIk33zqqgz15+h/7sJVHUv1ko62cPGtr2Mn32VBMtIt5f/+rbTderB/v3+0lcgkb6kCqlORDcu3RjYF+hZZxz+4BfgIYlPBczG2tmC8xsgd/jDrk4t599+/axb98+wLF/v9/O2Z9T7LmFlXe52zn7gsoVHUfB8rnX279/f6nun1s+J8e/F1fo+QfHUbB8zv6cUt2/YPncn6VzRZ2fP4bg8s4RtF38vQsrH/y7PPTCQeWdC46nJJ+d/OULfpZK8tnLvUbFffYOcf985angz14hn51CPnvOuQr87OVfDv3ZO/Tvv2yfvYPLF/7ZK5pqokXEq1EDevXy6+vXw+uvw3PPwZAhcPfd0LdvOKOTSsY5NxmYDNCnTx+3YEGfYs4oeLy48qU//9DTvpf2fiVV1jjK/+dw6Bgq6udQOB/HKSG958H6FPh5VMzPvCTn+ziGlfL84q97eHGcVcb7lfXnWNy/ldA41BQLqokWkYO1beunFn/4YViwAPr1g5EjfXItVcEmoGXQdovAvkLLmFkMUBfYVsJzRUSqPCXRIlK4mjXhhhtg3Trfdnr2bOjUCW66CX75JdzRSdl8CbQ3s2Qzq4HvKDi7QJnZwKjA+gjgQ+e/L50NjAyM3pEMtAe+CFHcIiIRQ0m0iBxa7dp+FI9Vq3xt9MMPQ7t28MIL4Y5MDlOgjfNVwFwgDXjJObfczO4yszMCxaYADQMdBycANwfOXQ68hO+E+A5wpXOu+N5bIiJVjNpEi0jJtGjhE+drr4X/+z/Iygp3RFIGzrk5wJwC++4MWs8Czi3i3HuBeys0QBGRCKckWkRKp2dP+OCDvO2//x0+/RSeeQYSih8OSkREpCpQEi0ipRfcXXnrVti4EeLjwxePiIhIiKlNtIiUzS23wNy5PrHetAl++1v45ptwRyUiIlKhlESLSNlFBR4lK1fC559Djx7wwAOwb19YwxIREakolbI5x/ffwzXX+P+3zfxrwfVhw2DAANiyBSZNgvPOg86d/WhdM2ZATAzExuZfatTIW+/XD5o1gx07YMUK6N7dD1Lw88/+mps3x/PDD74JaEICxMUdekBukWph8GD/D+aqq3wN9SuvwPPPhzsqERGRclcpk+jt2+Ff//IzE+/fD84dvN6iRV4SPXEidO3qk+hVq/z/7cV55RU45xyYPx9OPRU++8xf77XX4He/Azj6oHPi4/OS6tmzoXdveOstePBBn7g3bQqzZvlrJCRAYmLeUrt2/u2BA/31MjMhO9vPxKwkXSqFJk38P6BXXoErr4TevWk1ahQceyxER4c7OhERkXJRKZPoHj38JGol0a0b5OTkJaAnnwy7dvlvmbOz8y979+att2njy/fp45t7du7st48/Hv79b/j6629o06YTWVmwe7dfgtcbNPDlzXzeEBvrt7/7Dj780JfZudO/FmbjRmjeHB591P8RsG+fv84f/wgvvwx16vjEet++rrRr59eDl1GjfI38pk3+3NatS/czFimzESPghBPgyitpO2WK/wv2n//Uh1FERKqESplEl4ZZ/hrcqKjSjcLVqBGcckredtu2fmnW7EdSUjoVe/5pp/kl1zXX+CVXTo5PpjMz/ZKR4V8bN/bHhw6F+vXzKvC6dPEVehkZvmnJTz/FsWmTX8+dRK5GDbjsMr9+223w0Uc+eQc491z46iv/vho39q8Fl6ZNoX9/X9451YBLGTRsCNOmkda2LZ2fesp/PbN2rf8rUEREpBIrUxJtZg2AGUAbYD1wnnNuR4EyPYBngTpADnCvc25G4NgLwPFA7hzClznnFpclpsomOtrnE0XlFP375yW04JPj3AQZIDV1ISkpKYBPyDMy4Ndf8xLf8ePhrLPyyg8c6JPs9HTYvBmWLvXru3bllenc2TdrBd/ENTER3njDb0+Y4O/TtKn/1j73dceOWPbvz+tfJnKAGVtOOYXOv/89fPJJ3oc9OzvvKxoREZFKpqw10TcDHzjnHjCzmwPbNxUoswu41Dn3rZk1Axaa2Vzn3M+B4zc6514pYxyCT8hzm3PkCk7AAa6/vvBzd+2Cbdt8Qh08oMKIET7pzvXJJ370soyMglc4huhoSEqCs8+Gv/7V7330UT83x+DBfjsjw7f/lmooOdkvAG++6Wc9fOedvH0iIiKVSFmT6OFASmD9RSCVAkm0c25V0PoPZvYT0Bj4uYz3lnJUs6ZfWrbMv//KK/Nvf/GFf925E3780S+bN8P//vcttWu3Z/Nm39wFfFOQO+/01xg82CfQubXuLVsWvbRqpXk7qrx69aB9e/9VhoiISCVU1iQ6yTm3ObD+I5B0qMJm1g+oAawJ2n2vmd0JfADc7JzbU8S5Y4GxAElJSaSmppYx9LLJzMwMewyREkejRnDyyZkkJm46sC83pFmzjOxsIzV1P7t2RXPFFc346ac4tm6NY+3aeObPj2PHjhr5rnfppesZPXo9GRkxPPPMbxg27Ae6dMlgz54odu6Mpn797CLbaUfCz0NxlDCOG26AefOIzsyk1YwZfHfxxeyPiwt9HCIiIoeh2CTazN4HmhRy6LbgDeecMzN3iOs0Bf4JjHLO7Q/svgWffNcAJuNrse8q7Hzn3ORAGfr06eNy2wGHS2pqKuGOoTLGEdzJMldWlh9FZMMGPwZ49+5t6NGjDWlpvs32H/7QlJQUP0rKOef4GvPcDp5t20KHDtCxo19WrapcPw/FAUyfDv/6F62XL4dXX63Q5h2R8vMQEZHKr9gk2jl3UlHHzGyLmTV1zm0OJMk/FVGuDvAWcJtzbl7QtXNrsfeY2VTghlJFL1VCfDz85jd+Cda5sx/qL1enTr6t9Zo1foCHtWvh/ffzd4pMSBjEu+/CoEHw7bd+JJLTT4datULzXuQwjBzpe69ecgn07QszZ8Jxx4U7KhERkUMqa3OO2cAo4IHA66yCBcysBvAa8I+CHQiDEnADzgSWHW4g2dnZbNy4kaysrMO9RKnUrVuXtLS0kNyrKPHx8Vg1Gn+udWs/EV4w53wt9sqVfvnggx9JTm4B+L5rEybA1q0+iX7qKZgzx48d3rWrf+3c2c82KWF2+ul+ZqMzzoCTToJnn4UxY8IdlYiISJHKmkQ/ALxkZmOA74DzAMysDzDOOXd5YN9xQEMzuyxwXu5Qdv82s8aAAYuBcYcbyMaNG6lduzZt2rQJSWKZkZFB7TAOM+GcY9u2bdSq5lWsZn52yhYt4MQToUuX1TRv7pPoceP8vkaN8spu2uRrr7Oz/b7oaN+/rVu3vOT6zDM1NnZYdOgA8+b5munLL4dly+DhhyGmyg9nLyIilVCZ/ndyzm0DTixk/wLg8sD6v4B/FXH+4LLcP1hWVlbIEuhIYGY0bNiQDRs2hDuUiJWQAN27521feaVfsrN9U4+lS/2ybBksXOhngjziiLxxte+917/eFmj9r4lnQqBePf8Vwo03wuOP+1kOZ8zwzT1EREQiSJWq4qkuCXSu6vZ+y0tsrJ/5sUsXOP/8vP2ZmfnbYC9f7hPnXEcd5ce47t0bevXyr507q6K03MXEwGOP+R/u+PHwl7/4sRJFREQiiP77FwlITPSdF3P95z956zk5fqzrBQvg+efzJpOpVcv3hTv6aBgwwM8Imdt8RMpo7Fj/l06/fn5bXwWIiEgE0STNIiUQHe1bF3zyCfzyi58W/Z//hN/9ztdgP/IIDB/uZ2gE2LMnimee8cP2SRkMGuSnzNy6FY45xnc+FBERiQCqiS5nGzdu5NNPP+X84HYCUqVER/uWBp07w8UX+327dvnh9JIC0w19+20iV1+dNwvjsmUwezYcf7yvua5Ro+jrSyF+/dVPkxk8J72IiEgYKYkuZx988AErVqxQEl3N1KzpK01zHXnkr6xbB40b++1PPsnroJiQ4Jt9HH+8X/r31zB7xfrNb2DRIogKfHm2dm3e/PIiIiJhoOYc5eiTTz5hwoQJvPLKK/To0YO1a9eGOyQJEzNo0yZvkpdx43yLhFdfhd//HtLT4U9/8kl0vXp+aOSHHvKzN0oRchPol17yjddfeim88YiISLWmJLocDRo0iL59+zJr1iwWL15MW9WUSZBGjeDss+GJJ2DxYti2DWbN8gNQ/PSTb0+d28xj6lTliEUaOtRX319wAbzwQrijERGRaqpqNue47jqfpZSnHj18z7JirFy5kk5BQzxkZmbyyCOPHHgtaOrUqcyfP5+5c+cyZMgQevbsyRVXXEGrVq146qmnOOOMM7jvvvt49913SU1NLb/3I2FXv76foO+MM/x2RkZeZeukSdCkCZx3nt9+8EGfNw4apCH1qFMH3nnHD+g9ejTs3+97eIqIiIRQdf/vuFylp6dTt25dYkqR5YwePZrhw4eTnZ3NpEmTANiwYQMDBw5k6dKldO/enTVr1tCrV6+KClsiRPAEmJ9/7kcBAdi+3Q+TvHevT7xPPRWGDfMVsvXqhSXU8KtVy/fUPPNMP7thbCxcckm4oxIRkWqkaibRJagxrgjr16+nWbNmpT5v4cKF9O7dO9/2sGHDmD9/Po888ggpKSlERanlTXUSFeUTZoAGDXwb6nffhTfegLfe8mNYx8TAccf5hHrYMN/3rlqJj4fXXoPTT4fLLvOJ9MiR4Y5KRESqCWVm5ahTp06kp6fTtWtXPvvssxKfV1gS3bt3bzZt2sSAAQNYtWpVvuNS/dSuDeec45sA//gjfPop/N//+fXrr4d27XwLB/ATw1QbCQm+RnrQID/e4KuvhjsiERGpJpREl6PExES++OILli1bxsCBA4sst2XLFqZMmXJge8mSJXTv3v3A9qpVq+jQoQPTp0/noosuOrAtAn6c6oED4YEH/NTka9b4WbKPO84ff/BB34R/9+6whhk6tWr56vmjj/azHOa2gxEREalAVbM5R4RbtGgRycnJB7anTZuW7/iMGTMADjThyN0WKUzbtr4vba527fzkfgkJfvu663yTkIsuqsJNPhITYc4cWL8e6tYNdzQiIlINqCa6gkVFRVGnTh3qBfUAGzp0KIMHDw5fUFKlnXcePP20X9+/39dWT5yYl1w/+6zvrFjl1KkDud/oPP20n5tdDmJmDczsPTP7NvBav4hyowJlvjWzUYF9Nc3sLTP7xsyWm9kDoY1eRCRyKImuYDVr1mTChAncfvvt4Q5FqqGoKHjvPfjuO9/845df4A9/8MPnnXUWzJwJe/aEO8pytmMH3HMPPPNMuCOJVDcDHzjn2gMfBLbzMbMGwJ+A/kA/4E9ByfYjzrlOQE/gGDM7NTRhi4hEFiXRItVAy5Zw002wdCl89RVcdZUfRu+cc3xC/d574Y6wHNWvD/Pm+VltpDDDgRcD6y8CZxZSZgjwnnNuu3NuB/AeMNQ5t8s59xGAc24v8BXQouJDFhGJPEqiRaoRM+jZE/7yF9i4Ed5+G377WzjqKH987lz4299g377wxllmrVv7HpgbNsAVV1TB6vYySXLObQ6s/wgkFVKmObAhaHtjYN8BZlYPGIavzRYRqXbUsVCkmoqJ8RO2DB2at2/6dPjkEz9/CcAPP0DTpj75rpTmz4fJkyErq1pNEW5m7wNNCjl0W/CGc86ZmTuM68cA04AnnXNriygzFhgLkJSUFBEzrmZmZiqOCIpBcSiOyhJHUcqURAfazc0A2gDrgfMCX/0VLJcDLA1sfu+cOyOwPxmYDjQEFgKXBL4iFJEweP55+OknnzRnZUG3btCqlW/+ceGFeSN+VBojRvhelRMnQqdOMGBAuCMKCefcSUUdM7MtZtbUObfZzJoCPxVSbBOQErTdAkgN2p4MfOuce/wQMUwOlKNPnz4uJSWlqKIhk5qaiuKInBgUh+KoLHEUpazNOYrtoBKw2znXI7CcEbT/QeAx51w7YAcwpozxiEgZmEFS4Mt953z/vP37fc10ixZwyy2+hUSlcuedcMEFcOutNPr443BHEwlmA6MC66OAWYWUmQucYmb1Ax0KTwnsw8zuAeoC11V8qCIikausSXRJOqgUyswMGAy8cjjni0jFSkiA8eNh8WJITYWUFHjoIUhO9sPoffKJT7QjnpmvYj/6aDrffz8sXBjuiMLtAeBkM/sWOCmwjZn1MbO/AzjntgN3A18Glrucc9vNrAW+SUgX4CszW2xml4fjTYiIhFtZ20SXpIMKQLyZLQD2AQ84517HN+H42TmX24XpoI4rwYprX1e3bl0yMjIO822UXk5OTkjvVxTnXES0F4qUdkuKo+LiuPpqOPfceF5/vRlvvdWUl1+OpX37DP7ylyUkJh66J2Ik/Dxib7yRnuPGET10KAuee47sBg3CGk+4OOe2AScWsn8BcHnQ9vPA8wXKbAQqawt5EZFyVWwSXU4dVFo75zaZWVvgQzNbCpRqbt7i2telpaVRu3bt0lyyTDIyMkJ6v6KYWUS0F4qUdkuKo+LjGDkSdu6Ef/0L5s2rzemnDwLg44+hX7/C201Hys9jwfbt9Ln6ao7561/9uH4x6lstIiKHp9jmHM65k5xzXQtZZgFbAh1TOEQHFZxzmwKva/GdU3oC24B6gV7e4DuubCrzOxKRClerlh85bupUv52eDkOGwK23hjeu4mS2awfPPefbp/znP+EOR0REKrGytokutoNKoGNKXGC9EXAMsMI554CPgBGHOr+y2bhxIzNmzAh3GCIh1bAhvPMOXHON354/H2680Y/0EXEuvRTefRcuuSTckYiISCVW1iS62A4qQGdggZktwSfNDzjnVgSO3QRMMLPV+DbSU8oYT9h98MEHfPXVV+EOQySkzHzHw+Rkv/35535Cl+Rk+OMf4eefY8Ma30FOPtkHvWYNrFwZ7mhERKQSKlODwJJ0UHHOfQZ0K+L8tUC/ssQQST755BMmTJhAvXr1mDt3LjNnzqRt27bhDksk5K67Dk49Fe6+Gx55BOLijubaa+GGG6BRo3BHF5CT46drbNAAPv20Es8oIyIi4aBpv8vRoEGD6Nu3L7NmzWLx4sVKoKVa69jRdz5csQIGDkznoYegTRs/1vT27eGODj8t+Asv+LbRSqBFRKSUqmTX9Ouu82PblqcePeDxx4svt3LlSjp16nTQ/ilTpjBmTNFzyUydOpX58+czd+5chgwZQs+ePZk8eTJ9+/YFYMyYMQfWRSqTTp3gjjvSeOqpJO66Cx58EJ59FmbOhMGDwxzc0Uf7V+dg9Wpo3z688YiISKVRJZPocElPT6du3brEFDJs1tatWw957ujRoxk+fDjZ2dlMmjSJDRs2sGjRIiZNmlRR4YqEVOfOMG0a3Habb+Zx1FF+/w8/+FkSo6PDGNxtt8Ezz/i/vtu0CWMgIiJSWVTJJLokNcYVYf369TRr1uywz1+4cCG9e/c+sJ6Wlsa4ceNo0qQJEydOLKcoRcKra1fIHcBm/3444wyfRL/1VhiD+v3v4emn4cIL4b//1fjRIiJSLP1PUY46depEeno6Xbt2ZfLkyQwcOLBU5y9cuJATTjjhwPrjjz9Oz549KyJUkYhgBjffDDVq+O09eyAtzTefCqnkZJg82c8k8+c/+6pyERGRQ1DHwnKUmJjIF198wbJlyw4k0M8++ywjR45k2rRpjBw5kldeeQWALVu2MGVK/hH9lixZQvfu3QGfRD/99NOMGzeO1157LbRvRCREzGDECF8bDb5FRa9eMHYsFNMCqvydfz6MHg333gv/+1+Iby4iIpWNaqIr2Pjx4xk/fvxB+xctWkRy7qC6AdOmTTuwPmfOnAqPTSTSjB4NGzbAX/8KL70EEyfClVdCbKiGmX7yST9/+WWXwZIlkJgYohuLiEhlo5roMBk6dCiDwz40gUhkqVfPT9Ly9dd+4Izrr/cdEN99N0QBJCb6Ye/WrYObbgrRTUVEpDJSEi0iEadzZ3j7bZg9G/buhSFD4Lzz/EgeFe7YY/04mc88Ax98EIIbiohIZaQkWkQikhkMGwbLl/t+frNn++R6zZoQ3Pzee/1sMU89FYKbiYhIZaQ20SIS0eLi4Pbb/cAZ//gH5E4EumMH1K9fQTdNSIC5c6EMQ1aKiEjVpppoEakU2rWDu+7yNdTffefnRHnxxQq8YevWvkfjjh2+OlxERCSIaqJFpNKpUwcuvRQCw6qzb18Fzo/y29/CL7/A0qUQpXoHERHxlESLSKVTv74fBg/AOTj9dF9T/cADFTAq3cMPQ61aSqBFRCQf/a8gIpVadrbvcPjMM9CtG3z0UTnf4Jhj8qZQzMoq54uLiEhlpSRaRCq1GjXgscfgv//1TZgHD4Y//AF27iznG/3f//mL799fzhcWEZHKSEm0iFQJgwbB4sV+gpZJk/z04QsWlOMNjjoKPv/cT8YiIiLVnpJoEakyatb0Mx5+8AHs2gUDBsB990FOTjlc/JJLfKZ+001+xA4REanWypREm1kDM3vPzL4NvB40aquZnWBmi4OWLDM7M3DsBTNbF3SsR1niiTQ55fI/t4iU1gkn+KnDzzkHbrutnCqPzXxvxu3b4c47y+GCIiJSmZW1Jvpm4APnXHvgg8B2Ps65j5xzPZxzPYDBwC7g3aAiN+Yed84tLmM8YXfuuedyxRVXcPTRR3P//feHOxyRaqt+fZg2zc90OGqU37d9e42yXbRHDxg/3vdiXLy4rCGKiEglVtYkejiQO93Bi8CZxZQfAbztnNtVxvtGrKVLl5KUlMS8efO4/fbbwx2OSLWWO3V4TAykp8Pll/fhrrvKeNG774YGDeCqq/z4eiIiUi2VNYlOcs5tDqz/CCQVU34kMK3AvnvN7Gsze8zM4soYT56UlOKXRx7JXz73O9/09IPLlkBWVhbbt2/nzqCvejMzM5k4cSI33HBDoedMnTqVcePGkZyczLhx43juuecAaNWqFbNnzwbgvvvuI6WEMYhI4erVg9NP/4GzzirjherX9wNSf/op/Pvf5RGaiIhUQsVOtmJm7wNNCjl0W/CGc86ZWZHVMmbWFOgGzA3afQs++a4BTAZuAgqtJzKzscBYgKSkJFJTU/Mdr1u3LhkZGQe2E0rQHnnfnj1kB85JyMkhOyuLfRkZWGYm8QXO3x10bfDtnTMK7Fu0aBG9e/dm9+7dB/ZlZmayZ88e9u7de1B5gBEjRjB48GB27drFww8/DEBaWhp9+/ZlwYIFtG3blm+++YauXbsWer5z7qCfRThkZmYqDsUR8XGcd14m27atJzUVnnyyHZ07/8rJJ/9U+gslJ9O7Qwdi/+//+KJxY/bHld/f/yIiUjkUm0Q7504q6piZbTGzps65zYEk+VD/G50HvOacyw66dm4t9h4zmwoUXl3ry07GJ9r06dPHFayZTUtLo3bt2nk7/ve/Q4TixQDxQeUP/DBq1z7o/Nrkl5GRkf9+wNq1a+nVq1e+/WZGXFwc2dnZB5XPNW/ePI4++ugDx1euXMnZZ5/N/PnzmTRpEieffDJRUVGFnm9mEVFLnZqaqjgUR6WJY9cu/4XTfffB1q1deOIJSEgo5cUmT4bXXuO4AQP8POQiIlKtlLU5x2wg0GWHUcCsQ5S9gAJNOQKJN2Zm+PbUy8oYT1gtXbqU7t27l/q8hQsX0rt374O2N23axIABA1i1alW+4yJSNjVrwocfws03w9/+5ofCW7eulBc5/nh4/HEl0CIi1VRZk+gHgJPN7FvgpMA2ZtbHzP6eW8jM2gAtgY8LnP9vM1sKLAUaAfeUMZ6wevTRRzn//POLLbdlyxamTJlyYHvJkiX5ku9Vq1bRoUMHpk+fzkUXXXRgW0TKT0wM3H8/vPUWfPcd9OkD779/GBdKTc3fv0JERKqFMiXRzrltzrkTnXPtnXMnOee2B/YvcM5dHlRuvXOuuXNuf4HzBzvnujnnujrnLnbOZZYlnspi0aJFJCcnH9ieNm0aCUHfJc+YMYOoqChiY2PzbYtI+TvtNPjyS2jaFIYM8flwqQbdmDkTnn0WgvpCRLKSjO8fKDcqUOZbMxtVyPHZZlapvz0UESkLZWYVLCoqijp16lCvXr0D+4YOHcrgwYPDF5SI5NOuHcybB2efDTfeCBdeCDt3lvDke+6B5csPo1F12BQ7vr+ZNQD+BPQH+gF/Ck62zexsoFpUeoiIFKXYjoVSNjVr1mTChAnhDkNEipGYCC+95Eev+89/YP/+4s8B8tpE79kDW7dCixYVFmM5GQ6kBNZfBFLxIyMFGwK8l/vtopm9BwwFpplZIjABP1rSSyGIV0QkIimJFhEJMINbboEJEyAuzrfQWL7ct5c+JOd8R8O4ON9G2iwU4R6ukozv3xzYELS9MbAP4G7gUfzss0UqbljScIiUoRYjIY5IiEFxKI7KEkdRlESLiBSQO+zzHXfA00/DmjXQrNkhTjCDiy+Gq6+G996DU04JSZxFh1M+4/sXct0ewG+cc9cHOowXqbhhScMh0oZarO4xKA7FUVniKIraRIuIFOHWW+HFF4tJoHP9/vfQujXcdlvYpwMPdPTuWsgyC9gSNLxoUeP7b8KPqJSrRWDfAKCPma0HPgE6mFlqRb4XEZFIpSRaRKQIDRrAeef59fffh0sugaysIgrHxcHEibBgAbz+eogiPCwlGd9/LnCKmdUPdCg8BZjrnHvWOdfMOdcGGASscs6lhCBmEZGIoyRaRKQEVqyAf/0LTjgBtmwpotDFF0PHjnD77ZCTE9L4SqHY8f0DHQrvBr4MLHfldjIUERFPSbSISAlccw28+iosWeJnOPz220IKxcTAXXf5jPvll0MeY0mUYnz/551z7QLL1EKus9451zWUsYuIRBIl0SIiJXT22X7wjYwMGDjQT9JykBEjoEsXP350icfJExGRykZJtIhIKfTrB59+6seVPuEEmDu3QIGoKN+5cPlyeO21sMQoIiIVT0m0iEgpdegAn30G7dvD6afDP/9ZoMD55/tq67p1wxKfiIhUPCXRFSgncjsWiUgZNW0KH38Mxx0Hv/sdrFsXdDA62jegPumksMUnIiIVS0l0OTv33HO54oorOProo7n//vvDHY6IVKA6dWDOHN+kIzm5kAI//wzPPRf2caNFRKT8KYkuZ0uXLiUpKYl58+Zx++23hzscEalgcXEweLBff/11uOqqoP6EL78M48bBokXhCk9ERCpIlZ32uySzRJ5+OtxwQ175yy7zS3q672AfrCRTt2dlZbF9+3buvPPOg45NmTKFMWPGFHnu1KlTmT9/PnPnzmXIkCH07NmTyZMn07dvXwDGjBlzYF1EItNXX8HChbB7N9SqBYwa5XsiHnVUuEMTEZFyVmWT6HBYvnw5/fv3Jybm4B/r1q1bD3nu6NGjGT58ONnZ2UyaNIkNGzawaNEiJk2aVFHhikg5u+suP1V4fDzs3AkxMTWIy02g9+/3I3eIiEiVUGWT6JLUHBdVvlGj0p8PvilH9+7dS39iwMKFC+ndu/eB9bS0NMaNG0eTJk2YOHHiYV9XREInPt7ny2ee6edemTkTEiaMh8zMQobxEBGRyqrKJtHhsHTpUvr163fY5y9cuJATTjjhwPrjjz9Oz549yys8EQmRqCg/yt3YsXDaaTD7qEbUnjwZ7r473KGJiEg5URJdjh599NGD9j377LN8/PHHpKWlsXjxYkaMGMGIESPYsmULb775Zr520kuWLOHaa68FfBK9efNmYmJiGDJkCGeddVbI3oeIlN3ll0PNmnDppTAk43beiXqGOo89Fu6wRESknJQpiTazc4GJQGegn3NuQRHlhgJPANHA351zDwT2JwPTgYbAQuAS59zessQUacaPH8/48eMP2r9o0SKSC4yJNW3atAPrc+bMqfDYRKRiXXihH71j5Mg4htafxzt/OzbcIYmISDkpay+XZcDZwH+LKmBm0cDTwKlAF+ACM+sSOPwg8Jhzrh2wAyh6+IoqZujQoQzOHRdLRKqsc86BGTPgyx3tGLJb04CLiFQVZUqinXNpzrmVxRTrB6x2zq0N1DJPB4abmQGDgVcC5V4EzixLPCIikejss+Gll4wFpmEqRUSqilC0iW4ObAja3gj0xzfh+Nk5ty9of/OiLmJmY4GxAElJSaQWGD6jbt26ZGRklF/UxcjJyQnp/YrinDvoZxEOmZmZikNxKI5DqF8fnno2kXHjwnJ7EREpZ8Um0Wb2PtCkkEO3OedmlX9IhXPOTQYmA/Tp08elFJhNJS0tjdq1a4cqHDIyMkJ6v6KYGQV/FuGQmpqqOBSH4ihGSgpKokVEqohik2jn3EllvMcmoGXQdovAvm1APTOLCdRG5+4XEREREYlooZg+60ugvZklm1kNYCQw2znngI+A3Am2RwFlqtn2l6w+qtv7FREREYkUZUqizewsM9sIDADeMrO5gf3NzGwOQKCW+SpgLpAGvOScWx64xE3ABDNbjW8jPeVwY4mPj2fbtm3VJrF0zrFt2zZycnLCHYqIiIhItVOmjoXOudeAg8Zscs79AJwWtD0HOGjgY+fcWvzoHWXWokULNm7cyNatW8vjcsXKysoiPj4+JPcqSnx8PDt37gxrDCIiIiLVUZWZsTA2NvagyUsqUmpqakRMyf3dd9+FOwQRERGRaicUbaJFRERERKoUJdEiIiIiIqWkJFpEREREpJSsMo5mYWZbgXA3Bm4EpIc5BlAcBSmO/BRHfpEQR2vnXOMwxxBSEfLMhsj4/UNkxBEJMYDiKEhx5BcJcRT5zK6USXQkMLMFzrk+ikNxKA7FIZVDpPz+IyGOSIhBcSiOyhJHUdScQ0RERESklJREi4iIiIiUkpLowzc53AEEKI78FEd+iiO/SIlDwiNSfv+REEckxACKoyDFkV+kxFEotYkWERERESkl1USLiIiIiJSSkmgRERERkVJSEl0CZva8mf1kZsuC9jUws/fM7NvAa/0QxNHSzD4ysxVmttzMrg1HLGYWb2ZfmNmSQBx/DuxPNrP5ZrbazGaYWY2KjCNwz2gzW2Rmb4YxhvVmttTMFpvZgsC+cHw+6pnZK2b2jZmlmdmAMHw2OgZ+DrnLr2Z2XZh+HtcHPp/LzGxa4HMb8s+HhEckPLf1zC4yHj230TO7kFgq3TNbSXTJvAAMLbDvZuAD51x74IPAdkXbB/yfc64LcDRwpZl1CUMse4DBzrmjgB7AUDM7GngQeMw51w7YAYyp4DgArgXSgrbDEQPACc65HkHjWYbj8/EE8I5zrhNwFP7nEtI4nHMrAz+HHkBvYBfwWqjjMLPmwDVAH+dcVyAaGEn4Ph8Sei8Q/ue2ntmF03Pb0zM7oNI+s51zWkqwAG2AZUHbK4GmgfWmwMowxDQLODmcsQA1ga+A/vhZhWIC+wcAcyv43i3w/7gHA28CFuoYAvdZDzQqsC+kvxOgLrCOQGfhcMVR4N6nAJ+G6efRHNgANABiAp+PIeH4fGgJ3xJpz+3q/swO3EfPbadndiH3rpTPbNVEH74k59zmwPqPQFIob25mbYCewPxwxBL4Om4x8BPwHrAG+Nk5ty9QZCP+H0VFehz4I7A/sN0wDDEAOOBdM1toZmMD+0L9O0kGtgJTA1+T/t3MaoUhjmAjgWmB9ZDG4ZzbBDwCfA9sBn4BFhKez4dEjrD9e9Az+4DH0XMb9MzOp7I+s5VElwPn/0QK2ViBZpYIvApc55z7NRyxOOdynP/6pwXQD+hU0fcMZmanAz855xaG8r5FGOSc6wWciv+69rjggyH6ncQAvYBnnXM9gZ0U+PotlJ/TQLu1M4CXCx4LRRyB9nvD8f9RNQNqcfBX+1KNhfjfQ7V/ZoOe2wXomZ3//pXyma0k+vBtMbOmAIHXn0JxUzOLxT+M/+2cmxnOWACccz8DH+G/ZqlnZjGBQy2ATRV462OAM8xsPTAd/9XgEyGOATjwFzTOuZ/wbcn6EfrfyUZgo3NufmD7FfwDOlyfjVOBr5xzWwLboY7jJGCdc26rcy4bmIn/zIT88yERJeT/HvTMzkfP7Tx6ZudXKZ/ZSqIP32xgVGB9FL6tW4UyMwOmAGnOub+EKxYza2xm9QLrCfg2fmn4B/OIUMThnLvFOdfCOdcG/xXUh865i0IZA4CZ1TKz2rnr+DZlywjx78Q59yOwwcw6BnadCKwIdRxBLiDva0HCEMf3wNFmVjPw7yb35xHSz4dEnFA/K/XMDqLndh49sw9SOZ/Z4W6UXRkW/AdrM5CN/+txDL4d1wfAt8D7QIMQxDEI/5XK18DiwHJaqGMBugOLAnEsA+4M7G8LfAGsxn8lFBei308K8GY4Ygjcb0lgWQ7cFtgfjs9HD2BB4PfyOlA/THHUArYBdYP2hSOOPwPfBD6j/wTiwvUZ1RL6JRKe23pmHzKmav/c1jP7oDgq3TNb036LiIiIiJSSmnOIiIiIiJSSkmgRERERkVJSEi0iIiIiUkpKokVERERESklJtIiIiIhIKSmJFhEREREpJSXRIkUws1PN7F4z078TEZEIp2e2hJo+aFKtmFm0mT1hZsvNbKmZtQ06lmBmH5tZdGDXccCX+OlxMbMaZvbfoClIRUSkAumZLZFMSbRUN7cAa51zRwJPAn8IOvY7YKZzLiewnQNchJ8eF+fcXvwMTueHLlwRkWpNz2yJWJqxUKoNM6sF/Nc51zuwfRJwlXPuzMD2Z8CFzrn1h7jGUcD9zrnTKj5iEZHqS89siXT6ikOqk5OAlma2OLDdAHgf/Nd+QNtDPYwDlgF9KypAERE5QM9siWhqziHVSQ/gTudcD+dcD+BdYHHgWCPg5+IuEPjacK+Z1a6YEEVEJKAHemZLBFMSLdVJfWAXQKCjySnAG4Fju4H4El4nDsgq9+hERCSYntkS0ZRES3WyCjg6sH498JZzbh2Ac24HEG1mh3wom1lDIN05l12hkYqIiJ7ZEtGUREt1Mg3oZWarge7AhALH3wUGFXONE4C3KiA2ERHJT89siWganUMkwMx6Adc75y45RJmZwM3OuVWhi0xERArSM1vCTTXRIgHOua+Aj4IG7s8n0Bv8dT2MRUTCT89sCTfVRIuIiIiIlJJqokVERERESklJtIiIiIhIKSmJFhEREREpJSXRIiIiIiKlpCRaRERERKSUlESLiIiIiJTS/wNJ932MVHJzGgAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t_TM, t_TE, r_TM, r_TE = fresnel_equations(\n", " theta, wavelength, n1, n2, has_draw=True, kind=\"real_imag\"\n", ")\n", "\n", "T_TM, T_TE, R_TM, R_TE = transmitances_reflectances(\n", " theta, wavelength, n1, n2, has_draw=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $n_2 > n_1$ " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here total internal refraction is clear. i nthe amplitude/phase representation." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t_TM, t_TE, r_TM, r_TE = fresnel_equations(\n", " theta, wavelength, n2, n1, has_draw=True, kind=\"amplitude_phase\"\n", ")\n", "T_TM, T_TE, R_TM, R_TE = transmitances_reflectances(\n", " theta, wavelength, n2, n1, has_draw=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Phase difference between the two polarizations**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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7EmBJXM8v2UXDPiJhdY3PI5MuL+WOul8kHJW/ZAUN+YuEpfKXrJBy17CPSEAqf8kK7mjXXyQglb9kDe35i4Sj8peskHLXjr9IQCp/yQru6GgfkYBU/pIVHE34ioSk8peskNKev0hQKn/JCumTv6r9RUJR+UuWcHLU/SLBqPwlK2jYRyQslb9kBdc7fEWCUvlLVkjp3D4iQan8JSu4O6Y9f5FgVP6SFRyN+YuEpPKXrJA+pbPaXyQUlb9kBdeHuYgEpfKXrJD+GMe4U4h0HSp/yQopTfiKBKXyl6ygj3EUCUvlL1khfUpn1b9IKCp/yQqOJnxFQlL5S1Zw14SvSEgqf8kK6Y9xVPuLhKLyl6ygd/iKhKXyl6ygCV+RsFT+knie/hgvDfqIBKTyl8SLul/DPiIBqfwl8aLu14e5iASk8pfES2nYRyQ4lb8kXuOwT44O9BcJRuUvide45y8i4aj8JWtoyF8kHJW/JF7TsI/aXySYjJW/mX3ZzKrNbG10ua3ZfQ+YWaWZbTOz2ZnKIF2DJnxFwsvL8Pf/jrv/n+YLzGwCMA+4ChgGvGhmY939bIazSJZqHPHXjr9IOHEM+8wFFrj7aXffCVQC02LIIVmi8R2+GvYRCcc8Q0dSmNmXgY8Bx4BVwP9098Nm9l1gubv/LHrcQ8Bz7v5EK99jPjAfoLi4uGLBggXtylJbW0tRUVG71u1Mytm6ujPOfb85wYfG5zN7ZI9LWlfbNCzlDC+TWWfNmrXa3ae2eqe7t/sCvAhsbOUyFygGckm/uvg68HC0zneBjzT7Hg8Bd17ouSoqKry9li5d2u51O5Nytu5IXb1f/oVn/EcvvXHJ62qbhqWc4WUyK7DK2+jUDo35u/stF/M4M/sh8Ex0sxoY3uzusmiZSKucxmGfmIOIdCGZPNqnpNnNO0i/IgBYDMwzswIzKwfGACsylUOyX6rxxG7xxhDpUjJ5tM8/mtlk0gdr7ALuBXD3TWb2OLAZaADucx3pI+fhjRO+2vUXCSZj5e/ud5/nvq+TngcQuSDt+YuEp3f4SuI1jvnrQH+RcFT+knxNp3eIN4ZIV6Lyl8Q7N+yj9hcJReUvidc47KNRH5FwVP6SeK5hH5HgVP6SeOfO6qn2FwlF5S+J13T6KXW/SDAqf0k8fZiLSHgqf0m8pgnfmHOIdCUqf0m8pj1//bSKBKNfJ0k8TfiKhKfyl8TTxziKhKfyl8TzplP7qP1FQlH5S+K5a8JXJDSVvySehn1EwlP5S+LpOH+R8FT+kngpDfuIBKfyl8TThK9IeCp/SbymPX91v0gwKn/JGup+kXBU/pJ4mvAVCU/lL4mnYR+R8FT+kng6zl8kPJW/JF7TO3zV/iLBqPwl8VKNh3rGG0OkS1H5SxbQnr9IaCp/SbxU09E+8eYQ6UpU/pJ4Te/w1cCPSDAqf0m8xglf7fmLhKPyl8RLNR3rGWsMkS5F5S+J5+gzfEVCU/lL8mnCVyQ4lb8kXkqndBYJTuUvidc07KPuFwlG5S+J5xr2EQmuQ+VvZh80s01mljKzqS3ue8DMKs1sm5nNbrZ8TrSs0szu78jzS/fQeFZPHe4jEk5H9/w3Ah8Aftd8oZlNAOYBVwFzgH81s1wzywW+B7wbmAB8KHqsSJsaq197/iLh5HVkZXffAq1OxM0FFrj7aWCnmVUC06L7Kt39jWi9BdFjN3ckh3RtOqunSHgdKv/zKAWWN7tdFS0D2N1i+fVtfRMzmw/MByguLmbZsmXtClNbW9vudTuTcrZu/f4GAF57bTVHXs+9pHW1TcNSzvDiynrB8jezF4Ghrdz1oLsvCh/pHHf/AfADgKlTp/rMmTPb9X2WLVtGe9ftTMrZuobN++C1VVxXMZWry/pe0rrapmEpZ3hxZb1g+bv7Le34vtXA8Ga3y6JlnGe5SKv0MY4i4WXqUM/FwDwzKzCzcmAMsAJYCYwxs3Izyyc9Kbw4Qxmki/ALP0RELlGHxvzN7A7gX4DBwLNmttbdZ7v7JjN7nPREbgNwn7ufjdb5NPA8kAs87O6bOvQvkC7v3HH+2vUXCaWjR/ssBBa2cd/Xga+3snwJsKQjzyvdi2vYRyQ4vcNXEq/pLV4qf5FgVP6SeBr2EQlP5S+J13S0T8w5RLoSlb8k3rlhH9W/SCgqf0k8TfiKhKfyl8RrHPNX94uEo/KXxGv8MBdN+IqEo/KXxEul0l/V/SLhqPwl8c59lIvaXyQUlb8kniZ8RcJT+UviNU34qvxFglH5S+I1TvjqOH+RcFT+knipptM7xJtDpCtR+UvinTvOX+0vEorKXxLv3HH+MQcR6UJU/pJ4qXPHeopIICp/Sb6ms3qq/UVCUflL4jXu+GvYRyQclb8kXiqlQz1FQlP5S+JpyF8kPJW/JJ4+xlEkPJW/JF5KJ/QXCU7lL1lDE74i4aj8JfGaPsBdwz4iwaj8JfE06iMSnspfEu/ccf6qf5FQVP6SeCl9mItIcCp/SbzGYR8RCUflL1lDwz4i4aj8JfHOnd4h5iAiXYjKXxJPp3cQCU/lL4nXOOGrYR+RcFT+knhNx/mr+0WCUflL4jUN+6j9RYLpUPmb2QfNbJOZpcxsarPlI83spJmtjS7fb3ZfhZltMLNKM/tn02+0XIC7a69fJLCO7vlvBD4A/K6V+15398nR5ZPNlv8b8N+AMdFlTgczSBfnrslekdA6VP7uvsXdt13s482sBOjj7svd3YGfArd3JIN0fY5rslcksEyO+Zeb2Roz+08zuylaVgpUNXtMVbRMpE0p12SvSGh5F3qAmb0IDG3lrgfdfVEbq+0FRrj7QTOrAH5pZlddajgzmw/MByguLmbZsmWX+i0AqK2tbfe6nUk5W/fmm/V4ytv1nNqmYSlneLFldfcOX4BlwNQL3Q+UAFubLf8Q8O8X8xwVFRXeXkuXLm33up1JOVv3jSWbfeyDS9q1rrZpWMoZXiazAqu8jU7NyLCPmQ02s9zo+ijSE7tvuPte4JiZTY+O8vko0NarBxEgmvDVsI9IUB091PMOM6sC3gY8a2bPR3e9A1hvZmuBJ4BPuvuh6L5PAT8CKoHXgec6kkG6PndN+IqEdsEx//Nx94XAwlaWPwk82cY6q4CJHXle6V5SOtRTJDi9w1cSLz3so/oXCUnlL4nn6B2+IqGp/CXx9A5fkfBU/pJ47q5hH5HAVP6SeA7kqPtFglL5S+KltOcvEpzKXxJPY/4i4an8JfEcHeopEprKXxLP9WEuIsGp/CXx3DXhKxKayl8SL+WOadRfJCiVvySezuopEp7KXxIvfZy/2l8kJJW/JF4q/cE/IhKQyl+ST8M+IsGp/CXxNOwjEp7KXxIvpeP8RYJT+UvipY/zV/uLhKTyl8RLH+cvIiGp/CXxHHRmN5HAOvQB7tngff/yMgePnqDwtf+MO8oF1Z1QztbsPXqK4j4FnfZ8It1Bly//0YMLKWioZciQorijXND+/SeVsxVjiou4aczgTns+ke6gy5f/P82bwrJly5g5syLuKBeknCLSWTTmLyLSDan8RUS6IZW/iEg3pPIXEemGVP4iIt2Qyl9EpBtS+YuIdEMqfxGRbsg8Sz4lycz+CLzZztUHAQcCxskU5QwvW7IqZ1jZkhMym/Vyd2/17fFZU/4dYWar3H1q3DkuRDnDy5asyhlWtuSE+LJq2EdEpBtS+YuIdEPdpfx/EHeAi6Sc4WVLVuUMK1tyQkxZu8WYv4iI/KnusucvIiLNqPxFRLqhLl3+ZjbHzLaZWaWZ3R93npbMbJeZbTCztWa2Klo2wMxeMLMd0df+MeR62Mz2m9nGZstazWVp/xxt4/Vmdm3MOb9sZtXRNl1rZrc1u++BKOc2M5vdiTmHm9lSM9tsZpvM7DPR8kRt0/PkTOI2vczMVpjZuijrV6Ll5Wb2apTpMTPLj5YXRLcro/tHxpzzx2a2s9k2nRwt77z/e3fvkhcgF3gdGAXkA+uACXHnapFxFzCoxbJ/BO6Prt8P/EMMud4BXAtsvFAu4DbgOdIfsT4deDXmnF8GPtfKYydEPwMFQHn0s5HbSTlLgGuj672B7VGeRG3T8+RM4jY1oCi63gN4NdpWjwPzouXfB/46uv4p4PvR9XnAYzHn/DFwZyuP77T/+6685z8NqHT3N9y9HlgAzI0508WYC/wkuv4T4PbODuDuvwMOtVjcVq65wE89bTnQz8xKYszZlrnAAnc/7e47gUrSPyMZ5+573f216PpxYAtQSsK26XlytiXOberuXhvd7BFdHHgn8ES0vOU2bdzWTwA3m5nFmLMtnfZ/35XLvxTY3ex2Fef/QY6DA782s9VmNj9aVuzue6PrNUBxPNH+TFu5kridPx29ZH642bBZInJGww1TSO8BJnabtsgJCdymZpZrZmuB/cALpF95HHH3hlbyNGWN7j8KDIwjp7s3btOvR9v0O2ZW0DJnJGPbtCuXfza40d2vBd4N3Gdm72h+p6dfBybuWNyk5or8GzAamAzsBb4Va5pmzKwIeBL4rLsfa35fkrZpKzkTuU3d/ay7TwbKSL/iGB9vota1zGlmE4EHSOe9DhgAfKGzc3Xl8q8Ghje7XRYtSwx3r46+7gcWkv4B3tf4Mi/6uj++hH+irVyJ2s7uvi/6ZUsBP+TcMESsOc2sB+lC/Q93fypanLht2lrOpG7TRu5+BFgKvI30MEleK3maskb39wUOxpRzTjTE5u5+Gvh/xLBNu3L5rwTGRLP/+aQneRbHnKmJmRWaWe/G68CtwEbSGe+JHnYPsCiehH+mrVyLgY9GRylMB442G8rodC3GR+8gvU0hnXNedNRHOTAGWNFJmQx4CNji7t9udleitmlbORO6TQebWb/oek/gXaTnKJYCd0YPa7lNG7f1ncBvo1dbceTc2uyPvpGel2i+TTvn/z5TM8lJuJCeOd9OeizwwbjztMg2ivSREuuATY35SI9D/gbYAbwIDIgh26OkX96fIT3m+PG2cpE+KuF70TbeAEyNOecjUY71pH+RSpo9/sEo5zbg3Z2Y80bSQzrrgbXR5bakbdPz5EziNp0ErIkybQS+GC0fRfoPUCXwC6AgWn5ZdLsyun9UzDl/G23TjcDPOHdEUKf93+v0DiIi3VBXHvYREZE2qPxFRLohlb+ISDek8hcR6YZU/iIi3ZDKX0SkG1L5i4h0Q/8fmQ271Sr1sPMAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot((np.angle(r_TE) - np.angle(r_TM)) / degrees)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $n_2 = n + i \\kappa$\n", "\n", "This case is when the second medium present a complex refractive index, as in metals." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t_TM, t_TE, r_TM, r_TE = fresnel_equations(\n", " theta, wavelength, n1, n2c, has_draw=True, kind=\"real_imag\"\n", ")\n", "T_TM, T_TE, R_TM, R_TE = transmitances_reflectances(\n", " theta, wavelength, n1, n2c, has_draw=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Phase difference between the two polarizations**" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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2y8w+CsbnRqxTbmZLzGxOMBTF+DeISCuRkmLceGZvXrz1bPoV5/GfT8zl5kdmsXOv7hBubWL95v8SMMjdhwBLgYlB+VbgMncfDNwA/PWw9ca7+9Bg2BxjDCLSyvTumMMTXz+diRf159XFm7nkd28yc9X2eIclEWJK/u4+3d0PdvJ9F+gWlM929/VB+QIgy8wyYtmXiLQtoRTj6+ecwJM3n0Eoxbjm/ne5Z8YyauvUDNQaWFO1x5nZs8Df3P2Rw8qvAm529zHBdDnQAagFngJu9yMEYWYTgAkAxcXFpZMnT25UbJWVleTm5jZq3USjuoim+ojWXPWxr8b58/wDvLexlgEdUrj5lEzy01v/u4QT4fgYPXr0LHcv+5cZ7n7UAXgZmF/PMC5imUnAMwQnk4jygcBy4ISIspJgnAdMB65vKAZ3p7S01BtrxowZjV430aguoqk+ojVnfdTV1fnk9z/xfpNe8DN+/orPW7Oz2fbVVBLh+ABmej05tcFmH3cf4+6D6hmmAJjZjcClhNvxD32DN7NuwQnhendfHrG9dcG4AngMGH6MJzARacPMjGuG9eCpm88A4HP3vs2Ts9bGOarkFWtvn7HA94DL3X1vRHk74HngB+7+VkR5qpl1DD6nET5pzI8lBhFpWwZ3K2DqLWdS2qOQ7/59LrdNmU91rR4V3dJi7e1zN+Hmm5eCbpv3BuW3AH2B2w7r0pkBTDOzecAcYB3wxxhjEJE2pkNuBn/96nBuOqs3D7/zCV/58wdU7K+Od1hJJaZ3+Lp73yOU3w7cfoTVSmPZp4gkhtRQCj+8dAB9i3KZ9I/5fP7ed3jwxmF0bZcV79CSgu7wFZG4unZ4Dx66cRhrd+zjyt+/xfx1u+IdUlJQ8heRuDv7xE48+W+nEzLj6vve4fWlW+IdUsJT8heRVqF/53ye+eaZ9OyQw01/mck/52+Md0gJTclfRFqN4vxMJn9tJINK8vnmYx/ylLqCNhslfxFpVQqy0/jrV0cwsk97vvP3uTz8zqp4h5SQlPxFpNXJyUjlTzcMY8zJxdw2ZQH3vba84ZXkuCj5i0irlJkW4g9fPI3LTunKz19czANvrIh3SAklpn7+IiLNKS2Uwq+vPoXaujpuf37RoRfIS+yU/EWkVUsNpfDba0+luvZDfjR1AakhY/yInvEOq81Ts4+ItHppoRTu/sKpnNu/iB/+Yz7Pzl3f8EpyVEr+ItImZKSG+P340xjWsz3/+cQc3vx4a7xDatOU/EWkzchMC/HHG8o4oVMuX//rTD5aq0dBNJaSv4i0KQVZafzlK8Npl53OjQ+9z6qte+IdUpuk5C8ibU5xfiYPf3U4te585S8fsGufHgd9vJT8RaRNOqFTLvd+sZQ12/dyy2MfUqMXwhwXJX8RabNG9unAHVcM5o2Pt/LjZxfGO5w2Rf38RaRNu3pYd5ZtqeT+11fQrziX60/vFe+Q2gR98xeRNu/7Y/sz5uQifvLsQmau2h7vcNqEWF/gfpeZLTazeWb2TPDidsysl5nti3h/770R65Sa2UdmtszMfmdmFuPfICJJLpRi/OqaoXQrzOIbj37I5or98Q6p1Yv1m/9LwCB3HwIsBSZGzFvu7kOD4eaI8j8AXwP6BcPYGGMQESE/M40/fLGU3fur+ffHZusCcANiSv7uPt3da4LJd4FuR1vezLoA+e7+rrs78DBwRSwxiIgcdHKXfH525WDeW7mdu6YtiXc4rVpTXvD9CvC3iOneZjYb2A380N3fAEqAyFfzrA3K6mVmE4AJAMXFxZSXlzcqsMrKykavm2hUF9FUH9ESoT7aA+d2T+W+11eQVbmOoUWNT3OJUB9H0mCtmNnLQOd6Zk1y9ynBMpOAGuDRYN4GoIe7bzOzUuAfZjbweINz9/uB+wHKysp81KhRx7sJAMrLy2nsuolGdRFN9REtUerj9LNqueKet3l4yX6+cNFIivIyG7WdRKmP+jTY7OPuY9x9UD3DwcR/I3ApMD5oysHdD7j7tuDzLGA5cCKwjuimoW5BmYhIk8lIDfG7a4eyt6qG7zwxl7o6j3dIrU6svX3GAt8DLnf3vRHlncwsFHzuQ/jC7gp33wDsNrORQS+f64EpscQgIlKffsV5/PCSAbzx8VYefGtlvMNpdWLt7XM3kAe8dFiXzrOBeWY2B3gSuNndD3a+/QbwALCM8C+CF2OMQUSkXuNH9OD8AcX8zz+XsGC9ngAaKaYLvu7e9wjlTwFPHWHeTGBQLPsVETkWZsYvPjeEsb95ne88MZept5xFeqrubQXd4SsiCa59Tjo/u3IwizdW8PvyZfEOp9VQ8heRhDdmQDFXDO3K3a8uY+H63fEOp1VQ8heRpPCjywbSLjud/3pyLtW6+1fJX0SSQ2FOOrdfMZAF63dz32vL4x1O3Cn5i0jSGDuoC5cM6cLvXlnGyiR//aOSv4gklR9dNoCM1BR+NHUBwX2pSUnJX0SSSlFeJt+54EReX7qFF+dvjHc4caPkLyJJ54sjezKgSz4/eXYhlQdqGl4hASn5i0jSSQ2lcPuVg9i4ez+/e+XjeIcTF0r+IpKUTutRyHXDu/PgmytZuqki3uG0OCV/EUla37uwP9npIe54flG8Q2lxSv4ikrQKc9L51nn9eG3pFl5buiXe4bQoJX8RSWpfOr0nPdpn87PnF1GbRM/9V/IXkaSWkRriBxf1Z8mmCp6YuSbe4bQYJX8RSXoXDepMWc9C/nf60qTp+qnkLyJJz8yYdMnJbK08wL3lyfHcHyV/ERHg1B6FXDKkCw++tZKtlQfiHU6zU/IXEQl8e8yJ7K+uTYpv/0r+IiKBvkW5XHlqN/767ids2r0/3uE0q5iSv5ndZWaLzWyemT1jZu2C8vHBC90PDnVmNjSYV25mSyLmFcX+Z4iINI1bz+tHbZ1zz4zEfuVjrN/8XwIGufsQYCkwEcDdH3X3oe4+FPgSsNLd50SsN/7gfHffHGMMIiJNpkeHbK4e1p3H31/N1n2J+8avmJK/u09394P9ot4FutWz2HXA5Fj2IyLSkv793L6YGVOXV8c7lGZjTfUyAzN7Fvibuz9yWPlyYJy7zw+my4EOQC3wFHC7HyEIM5sATAAoLi4unTy5ceeQyspKcnNzG7VuolFdRFN9RFN9fOrRRQd45ZNq7jw7m6Lstnt5dPTo0bPcvezw8gaTv5m9DHSuZ9Ykd58SLDMJKAM+G5nIzWwE8IC7D44oK3H3dWaWRzj5P+LuDzf0B5SVlfnMmTMbWqxe5eXljBo1qlHrJhrVRTTVRzTVx6c27trPWXe+wjXDe3DHlYMbXqGVMrN6k39qQyu6+5gGNnwjcClwXj3f4K8FHj9se+uCcYWZPQYMBxpM/iIiLalzQSZnlqTy91lrufW8fhTlZ8Y7pCYVa2+fscD3gMvdfe9h81KAq4lo7zezVDPrGHxOI3zSmB9LDCIizeXi3mnU1NbxpzdXxjuUJhdrQ9bdQB7wUtBt896IeWcDa9x9RURZBjDNzOYBc4B1wB9jjEFEpFkU56Rw6ZCuPPLuJ+zam1gXfxts9jkad+97lHnlwMjDyvYApbHsU0SkJf3bqBOYOnc9f3lnFd86r1+8w2kybfcStohICzi5Sz7n9S/iobdWsrcqcZ74qeQvItKAb4zuy4691Ux+P3Ge96/kLyLSgNKehZT2LOTPb69KmLd9KfmLiByDr57Vm9Xb9/LKok3xDqVJKPmLiByDCwYUU9IuK2G6fSr5i4gcg9RQCjec0ZP3Vm5n/rpd8Q4nZkr+IiLH6JphPchOD/HQW6viHUrMlPxFRI5RQVYany/txrNz17O5om2/7EXJX0TkONx4Zm+q6+p49N3V8Q4lJkr+IiLHoXfHHM7rX8Sj731CVU3bfdmLkr+IyHH64siebK2sYvrCjfEOpdGU/EVEjtPZ/TrRrTCrTTf9KPmLiBynlBTjCyN68M6KbSzbXBnvcBpFyV9EpBGuLutOWsh47L22+e1fyV9EpBE65mYwdlAXnpy1hv3VtfEO57gp+YuINNL4ET3Yvb+G5+ZtiHcox03JX0SkkUb0bs8JnXJ49L1P4h3KcVPyFxFpJDNj/IiezF69k4Xrd8c7nOMSc/I3s5+a2bzgHb7TzaxrUG5m9jszWxbMPy1inRvM7ONguCHWGERE4uWzp5WQHkrh77Pa1otemuKb/13uPsTdhwLPAbcF5RcB/YJhAvAHADNrD/wIGAEMB35kZoVNEIeISItrl53O+QOL+cfsdW3qjt+Yk7+7R/7WyQEOvuZmHPCwh70LtDOzLsCFwEvuvt3ddwAvAWNjjUNEJF4+X9qNHXur29SLXlKbYiNmdgdwPbALGB0UlwCRv4PWBmVHKq9vuxMI/2qguLiY8vLyRsVXWVnZ6HUTjeoimuojmuoj2rHWR507hRnGvdPnkrVtSfMH1gSOKfmb2ctA53pmTXL3Ke4+CZhkZhOBWwg368TM3e8H7gcoKyvzUaNGNWo75eXlNHbdRKO6iKb6iKb6iHY89XHdgcXc+9pyBpw2kqL8zOYNrAkcU7OPu49x90H1DFMOW/RR4HPB53VA94h53YKyI5WLiLRZV5V2o87h6dltI501RW+ffhGT44DFweepwPVBr5+RwC533wBMAy4ws8LgQu8FQZmISJvVp1MuZT0LeWLmGty94RXirCl6+9xpZvPNbB7hRH5rUP4CsAJYBvwR+AaAu28Hfgp8EAw/CcpERNq0z5d1Y8WWPXy4eme8Q2lQzBd83f1zRyh34JtHmPcg8GCs+xYRaU0uGdKV/566kCdnraW0Z+vuwa47fEVEmkhuRioXDizmhY82tPo+/0r+IiJNaNypJezaV035ks3xDuWolPxFRJrQZ/p2pENOOv+Y07p7/Sj5i4g0odRQCped0pWXF21m9/7qeIdzREr+IiJNbNzQrlTV1PHP+a33Be9K/iIiTWxo93b07JDNlFbc9KPkLyLSxMyMcUNLeHv5Njbt3h/vcOql5C8i0gyuGNoVd5g6Z328Q6mXkr+ISDPo0ymXU7oVtNpeP0r+IiLN5PKhJSxYv5sVWyrjHcq/UPIXEWkmFw8OPwn/hY82xDmSf6XkLyLSTLoUZFHWs5Dn5in5i4gklUuGdGHxxgqWbW5dTT9K/iIizeiiQV0wa31NP0r+IiLNqHNBJsN6tuf5Vtb0o+QvItLMLh7cmSWbKvh4U0W8QzlEyV9EpJldNDjc9PN8K2r6UfIXEWlmxfmZDOvVupp+lPxFRFrApUO68PHmSpa2kqafmJK/mf3UzOaZ2Rwzm25mXYPy8UH5R2b2tpmdErHOqqB8jpnNjPUPEBFpC8YO6owZrabPf6zf/O9y9yHuPhR4DrgtKF8JnOPug4GfAvcftt5odx/q7mUx7l9EpE0oystkRO/2PD9vPe4e73BiS/7uvjtiMgfwoPxtd98RlL8LdItlPyIiieCSwV1YvmUPS1pB04/FegYyszuA64FdhL/Rbzls/neB/u5+UzC9EthB+ERxn7sf/qsgct0JwASA4uLi0smTJzcqxsrKSnJzcxu1bqJRXURTfURTfURr6vrYub+Ob5fv44q+aYzrm95k2z2a0aNHz6q3lcXdjzoALwPz6xnGHbbcRODHh5WNBhYBHSLKSoJxETAXOLuhGNyd0tJSb6wZM2Y0et1Eo7qIpvqIpvqI1hz1ceU9b/pFv3m9ybd7JMBMryenNtjs4+5j3H1QPcOUwxZ9FPjcwQkzGwI8EJwktkVsb10w3gw8AwxvKAYRkUQxdlBnFm7YzZrte+MaR6y9ffpFTI4DFgflPYCngS+5+9KI5XPMLO/gZ+ACwr8iRESSwoUDw495nrYgvi93T41x/TvN7CSgDvgEuDkovw3oAPzezABqPNzmVAw8E5SlAo+5+z9jjEFEpM3o2SGH/p3zmL5gEzd9pk/c4ogp+bv7545QfhNwUz3lK4BT/nUNEZHkccHAzvzfqx+zpeIAnfIy4hKD7vAVEWlhFw4sxh1eXrQpbjEo+YuItLABXfLpVpgV13Z/JX8RkRZmZlw4sDNvL9tGxf7quMSg5C8iEgdjB3WmqraOGUu2NLxwM1DyFxGJg9N6FNIxNz1uTT9K/iIicRBKMc4fUEz54s3sr65t8f0r+YuIxMkFAzuzp6qWt5dvbfF9K/mLiMTJGSd0IDcjlWnzW77Lp5K/iEicZKSGGN2/iJcXbaK2rmWf8a/kLyISRxcOLGbbnipmrtreovtV8hcRiaNRJxWRHkpp8bt9lfxFROIoNyOVkSd04KWFm1r09Y5K/iIicXb+yUWs2raX5Vv2tNg+lfxFROLsvJOLgZZ90JuSv4hInHVtl8XArvm8vFDJX0QkqYw5uZhZq3ewrfJAi+xPyV9EpBU4f0D4Gf8t9aA3JX8RkVZgYNd8OudntljTT8zJ38x+ambzzGyOmU03s65B+Sgz2xWUzzGz2yLWGWtmS8xsmZn9INYYRETaOjPjvJOLeP3jLS3yoLem+OZ/l7sPcfehwHOEX95+0BvuPjQYfgJgZiHgHuAiYABwnZkNaII4RETatDEDitlbVcs7K7Y1+75iTv7uvjtiMgdo6C6F4cAyd1/h7lXAZGBcrHGIiLR1p/fpQHZ6qEWafpqkzd/M7jCzNcB4or/5n25mc83sRTMbGJSVAGsillkblImIJLXMtBBn9+vEy4ua/25fO5YdmNnLQOd6Zk1y9ykRy00EMt39R2aWD9S5e6WZXQz81t37mdlVwFh3vylY50vACHe/pZ79TgAmABQXF5dOnjy5EX8iVFZWkpub26h1E43qIprqI5rqI1o86uPNddU88FEV/316Jr0KQjFvb/To0bPcvexfZrh7kw1AD2D+EeatAjoCpwPTIsonAhMb2nZpaak31owZMxq9bqJRXURTfURTfUSLR31srdjvvX/wnP/v9CVNsj1gpteTU5uit0+/iMlxwOKgvLOZWfB5OOEmpm3AB0A/M+ttZunAtcDUWOMQEUkEHXIzKO1Z2Ozt/qlNsI07zewkoA74BLg5KL8K+DczqwH2AdcGZ6EaM7sFmAaEgAfdfUETxCEikhDGnFzMz19czLqd+yhpl9Us+4g5+bv7545Qfjdw9xHmvQC8EOu+RUQS0ZgB4eT/yqJNXH96r2bZh+7wFRFpZU7olEufjjm81IxNP0r+IiKt0HknF/Huim1U7K9ulu0r+YuItEJjTi6mutZ54+OtzbJ9JX8RkVaotGch7bLTmq3Xj5K/iEgrlBpK4dyTinh1yWZqauuafvtNvkUREWkSl57SBYCK/TUU5qQ36baV/EVEWqlz+xdzbv/iZtm2mn1ERJKQkr+ISBJS8hcRSUJK/iIiSUjJX0QkCSn5i4gkISV/EZEkpOQvIpKEjukdvq2BmW0h/LKYxugINM/Tkdoe1UU01Uc01Ue0RKiPnu7e6fDCNpP8Y2FmM72+FxgnIdVFNNVHNNVHtESuDzX7iIgkISV/EZEklCzJ//54B9CKqC6iqT6iqT6iJWx9JEWbv4iIREuWb/4iIhJByV9EJAkldPI3s7FmtsTMlpnZD+IdT0szs+5mNsPMFprZAjO7NShvb2YvmdnHwbgw3rG2FDMLmdlsM3sumO5tZu8Fx8jfzKxpX5fUiplZOzN70swWm9kiMzs9yY+Nbwf/J/PN7HEzy0zk4yNhk7+ZhYB7gIuAAcB1ZjYgvlG1uBrgO+4+ABgJfDOogx8Ar7h7P+CVYDpZ3Aosipj+BfBrd+8L7AC+Gpeo4uO3wD/dvT9wCuF6Scpjw8xKgG8BZe4+CAgB15LAx0fCJn9gOLDM3Ve4exUwGRgX55halLtvcPcPg88VhP+5SwjXw1+Cxf4CXBGXAFuYmXUDLgEeCKYNOBd4MlgkmeqiADgb+BOAu1e5+06S9NgIpAJZZpYKZAMbSODjI5GTfwmwJmJ6bVCWlMysF3Aq8B5Q7O4bglkbgeZ5SWjr8xvge0BdMN0B2OnuNcF0Mh0jvYEtwENBM9gDZpZDkh4b7r4O+CWwmnDS3wXMIoGPj0RO/hIws1zgKeA/3H135DwP9/VN+P6+ZnYpsNndZ8U7llYiFTgN+IO7nwrs4bAmnmQ5NgCCaxvjCJ8UuwI5wNi4BtXMEjn5rwO6R0x3C8qSipmlEU78j7r700HxJjPrEszvAmyOV3wt6EzgcjNbRbgJ8FzCbd7tgp/5kFzHyFpgrbu/F0w/SfhkkIzHBsAYYKW7b3H3auBpwsdMwh4fiZz8PwD6BVfr0wlfvJka55haVNCm/Sdgkbv/KmLWVOCG4PMNwJSWjq2luftEd+/m7r0IHwuvuvt4YAZwVbBYUtQFgLtvBNaY2UlB0XnAQpLw2AisBkaaWXbwf3OwPhL2+EjoO3zN7GLC7bwh4EF3vyO+EbUsMzsLeAP4iE/buf8f4Xb/J4AehB+TfbW7b49LkHFgZqOA77r7pWbWh/AvgfbAbOCL7n4gjuG1GDMbSvjidzqwAvgy4S+ESXlsmNmPgWsI95KbDdxEuI0/IY+PhE7+IiJSv0Ru9hERkSNQ8hcRSUJK/iIiSUjJX0QkCSn5i4gkISV/EZEkpOQvIpKE/j8mUlx/qxw6QgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(theta / degrees, (np.angle(r_TE) - np.angle(r_TM)) / degrees)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $n_1 = n + i \\kappa$\n", "\n", "This case is more strange, as the first medium is complex, it absorbs the light field, but it may be interesing when it is a thin metallic layer." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "n2c = 1 + 1j" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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RKlXiLGdkJDB4MMvSKlfmSP7IEbseukgRljQvXMioz6ZNwMCBvFEYOJA3DoGBzKY5dsyupgiCXQgP90Du3EwemDHDFIWXKL5pE40ZPJizsiZHHHpmKFmScfbISE6Y/vQTULUqHfuJE3Y/fK5czL395BNK2xw6BHz4IbNrRo6kDk3dusDEiXa7gRCELKM1x0S//sr1rl2jsHcv8Jg5ShSBAwdQacoUGjRlitHWpAtx6FmhRAlg6lQ68aFDObtZqRIfR2dN5S29KMWbhBEj2CwlMpIm5clDPWh/f04uTZggKZGCuYiP5x1lcDDXXV11VhLJbMu1a8Czz+Je3rzMdktUTW5mxKHbguLFeQU/epQi9zNmML1p0iTg5k2HmuLrCwwbBvz9N3DqFDB9OkX9x4yhSU2asIr18mWHmiUIAJil9cUXHO+4unJ0bpVbMg1ac67s2DEcGDuWciLZBFPlod+9exdRUVGIjY015PheXl44dOhQ1nYyfDjjbf/9x0TarVspEJM/f5qpTu7u7vD29kYuG40GypShKYMHc3J+4ULg+++BoCBOOrVrx+tPu3amK3gTnJCwMODll1k5fesWb2RLlTLaqmT4+GNg2TLg449xtVYto63JEKZy6FFRUShQoAB8fX2hDMjzvH79OgrYskfV9evU6b1xg87cx4eOPRm01oiOjkZUVBT8/PxsZ4OFsmWBUaMYY9+3j4594ULK2nh5sfKuTx+mRpo0xVbIpsTGsqHP5Mkc23z/PdA9qQC3mejalXfWb7zB3OFshKlCLrGxsShSpIghztwuFCjAALevL0V8Dh1ivN0qz5gIpRSKFCli97sTpSj1O3UqUx03bACeeQZYvJhzP9WqcYBio/opIYezeTN1jiZOpP7d4cP8a8qf+L//MrDv4wO8+65JjUwdUzl0AM7jzK0oRUXH6tU5iRodzZr/8+cfUnd09Ht3dWVe+9dfA2fPMs22YEFGjUqXZqOANWukOlXIOJcvs8KzRQuePxs28DyzRRchu3D9Okc0r75qtCVZwnQO3Wlxc2NQu2pVhl1On+aI/cYNoy0DwJzfvn2Bv/5imfXgwbzbbNuWNxjvvmv6IjnBJFy9yju9b75h9lVYGAcOpsbDg9kE/foZbUmWEIfuaPLmZTu9cuUYejl0iM7dRMPgqlUZkjlzhpmY1asDH3xAkzt2ZJOWTIhQCk7O1av86+VFRx4ayvoIo/vypsnZs7yTHjSITQuyMeLQkzB37lzUrl0btWvXhouLy/3Hb7zxhu0OohS7JlWrRoHn8+c5LL5yxXbHsAG5cwOdOzPscuIEJ1W3bQNatwZeeqk+pk1jMo8ghITwBvTvv7k+ZAjrH0zP7Nks1ti/32hLbII49CT0798fe/fuxapVq1CmTBns3bsXe/fuxbRp02x/MDc3pp9UrsyAdkQERVvOnLH9sbKIjw9H6adOUcqmYMG7GDqUsfb+/YE9e4y2UDACa5/dgADOuWSjlG1qVw8axOKMKlWMtsYmiENPgf3796NGjRqOOZiHB0+o0qX5C7EGIB3QZzuj5MnDlLOZM/dgzx7msS9aRKmBRo1YVBcXZ7SVgr357z/WMwQGMoGrQAHgq684PskWhIdTn7p8eebvOkl3d3HoKRAWFobq1as77oAuLqyyKFWKeV69ewPt2yP3xYuOsyGD1K5NadMzZ1iReuECGz2VL8/UR2tMVXAetGYeeaVK7NzYpo2ppn/Sx6VLrKZzdQVWr2Zql5NgqsKiBxgyhB2XbUnt2vQ86WD//v1o2bLlA8/FxMRg6tSp9/8mZf78+di+fTvWrVuHVq1aoU6dOnjllVfg4+ODmTNnokOHDpg4cSLWr1+PkJCQ5A+cKxcDkp99BowahXq//84ih5deMm1ebMGCzIoZNAhYuRKYNo2pj+PGMWng9dc5oSpkb44cYVbf5s1sdr5hQzaJkycmNpaFF6dP84042YkpI/QUyMwIvU+fPpg4cSJatGiB4OBgvPLKKzh9+jQaNWqEsLAwnDhxAseOHUPdunVT35GLCz3kvn244ed3f7SOf//N/BtyAK6uzIIJCWGGwzPPUNu6YkVOrm7ZYsookpAGt24xbbVmTc6VBAdT0SLbOXOtmZu7dStbgjVsaLRFNse8I/R0jqTtQXx8PI4ePYoqmZgoCQ0NRUBAwAPr7du3x/bt2zF16lQ0a9YMLi7pvI5WrIi906ejWVgYU0yqVeOv6fnnM2yXo6lblz1SP/yQTj04mPIY9eqxX8CzzzpN2NKp2byZ+ivHjlEdesoU1sdlS8aO5YTPpEks73dCZISeDBEREfD29kbu3Lkz/L/JOfSAgACcOXMGDRs2RHh4+AOvp0mi0ToqV6bIfs+e2SZAXbo0y75Pn2ZnpStX+FuqUoUx2Nu3jbZQSI1Ll3jh3biRg9ps68wBwM+PMaMRI4y2xG6IQ08Gf39/HDx4MF3bnj9/HvPmzbu/vm/fPtSsWfP+enh4OPz9/bF48WK8+OKL99czTMWKbOUybhxHGTVrMu0qm5A/P39Lhw6xWMnTkyM/Pz+O+q5dM9pCAWBUYuZMTuEATEUMC2MJf7bFmlvZpw9HFSadi7IF4tCzyJ49ex5QR1y0aBHyJlLpX7JkCVxcXO5L4lrXM4WbG28bt25l1U+zZpRPvHMnK2/Bobi6Mp6+cycn1apWBd56i3nuo0eLKJjRKMXR+KZNdO5K8VTLthw8yLSr1auNtsQhiEPPAC4uLvD09ETBRGlOrVu3RgtHD18aNODsVP/+bPny6KMc+mYjlKK+x2+/0bm3bMnQZtmy7JHqgE5+goXLl5mhZG2L+/33nO9wioFs8eL8fVStarQlDkEcegbIly8fhg4dijFjxhhtCouR5syhoPnp05yF/OKLbJlGEhjI3pKHD7NQ6csvGWHq14/Fs4J9iI+nwqa197k1gpeOXizm58oVTtAULcqrk6+v0RY5BHHo2Z2OHRnkfPxx4H//Y9Azmwqs+PvTmUdG8q0sXMh54F69EkaPgm3YvZuVvf378zPes4dzGk7BzZuUCe3cOVsOcLKCOHRnoGRJxginTAFWrGAB1V9/GW1Vpildmm1Zjx9ngs+PP/KOuXt3hkSFzPPff8D06RURGMgL57ffcmSeaB4/exMXx7Tebds4CZrtbzUyRroculKqtVLqiFIqQik1MoVtuiqlDiqlDiilFtrWTCFNXFxYnrl1K2cemzZlUDob69yWKkUJgRMnmLu+YgWlfLt2Bf75x2jrshfx8cD8+bwL+vXXR/Daa7zr6dnTiXye1sArr7BcedYsjtBzGGk6dKWUK4BZANoAqArgBaVU1STbVAQwCsBjWutqAIbY3lQhXdSvz/vnzp2Bt98GWrUCzp0z2qosUbw4C5ROnOBbWruWVYqdOonKY3o5e5aTzf7+wOzZuzBjhlNJmJAxY6gQ9s472b7zUGZJzwi9PoAIrfVxrfUdAIsBdEyyzcsAZmmt/wMArbUknxmJlxebhH75ZUKN9rp1RluVZYoWpYTvyZNMxw8J4Vxw585OI2dtU65cYU651gxj7djBUoYKFczRJcumfPopK9hefhl47z2jrTEMpdOYNFBKdQHQWmvd37LeE0ADrfWgRNv8DCAcwGMAXAGM01qvTWZfAwAMAIASJUoELF68+IHXvby8UKFChay8nyxx7949uBpcjx4REYGriapAY2Ji4OHhken95YuMRLXx45H/xAmc6tYNkf36QbtlXfEhq3bZgpgYV/z0kzd++KEMbt1yRZMm/6J//yiUKXPLULsSY+Tn9Msvj+DTTyti9uxQVKgQYwqbUiOzdpVcswaVJ0/GxcaNcXDcOGgb/obN+Fk1b948VGsdmOyLWutUFwBdAMxNtN4TwMwk26wEsBxALgB+AE4DKJjafgMCAnRSDh48+NBzjuTatWuGHl/rhz+DzZs3Z32nN29q/corWgNaN2ig9cmTWd6lTeyyEZcuaT1ypNbu7nHaxUXr3r21Pn7caKuIoz+nvXu1XrWKj+/e1ToszHib0kum7Fq7VmsXF61bttQ6NtYcNtkZALt0Cn41PSGXMwDKJFr3tjyXmCgAK7TWd7XWkeBovWK6LjeC/cmbl+pYP/zANJE6dYBVq4y2ymYUKcL534ULt2HwYCoj+PuzAUNUlNHWOYbLl4HXXmMI6s03OQnq5sZJZKemUSOmQi1fzu4rOZz0OPSdACoqpfyUUrkBdAOwIsk2PwNoBgBKqaIA/AEct52Zgk147jnq2pYpAzz9NBUcnai9UKFCd/HJJ1QGHDCA82MVKvD3ns3nhVPk3r2Etpiff86L2JYtTHpyakJDgRs32Crpk09YDSWk7dC11nEABgFYB+AQgB+01geUUuOVUh0sm60DEK2UOghgM4A3tdbR9jLanjikSbSRVKzITr4DBjB15IknTK+znlFKl2bW2tGjTMubNYt9DEaM4EjWWdiyhVW2QUFUVt69m++1UCGjLbMz//1H3YjXXzfaEvORUizG3ovZY+hRUVHax8fH4TbYJYaeEt99p3W+fFoXL671b79l6F/NGFtMyaajR7Xu0UNrpbT28tJ64kStb9ww1qascPq01i+8wCmRMmW0XrJE6/h4Y22yBRmya8UKrc+csZstVsz4WSGLMfQciUObRBtFjx5UxipShOpY48dnwwaRaVOhAptt/PMP663efpvPBQcDd+8abV3GefFFypO88w412bp2daLioNQ4fDhh7qd9e+CRR4y1x4SIQ08BhzeJNoqqVenUe/SgNG+bNk6rYVu9OqtNt2yhouqrr/LtL1li7oJarWm3NVw0cyYd+fjxOSh0fPgw0Lw5v7TYWKOtMS2mbUFncI/oZJtEW5k3bx769euX4v8m1yx6zpw5qFevHgCgX79+9x+bgvz5gW++4fB10CBmwSxeDDRpYrRlduGxx6hfsmoV54W7dQMmT+aUQgpfuaEcP86q2LFj2dvT2W8cH+LIETpzrVkg5+5utEWmRUboKZDaCP3ixYup/m/SZtFt27ZFvXr1EBwcjODgYHM5cytKUXpv2zYgXz7+gCZPNvfQNQsoxUSfvXspUBUdDTz1FOfadu402jp2GFywgI/Ll6du/KhRxtpkCOHhPBfj49l1IxN9fnMSph2hG9gjOktNoq0k7i0aGhqKQ4cOISgoCCVLlsS4ceNsZKkdqF2bKWH9+zMtZMsW4OuvgcKFjbbMLri6MhOma1em/33wAeVwunTh40qVHGtPfDxvlkaOZD/PBg0Y72/e3LF2mIKjR/nG4+LYrTqHNKnICjJCT4asNIm2ktShT58+HcHBweZ25lY8PRlY/uwzKmHVrUshECcmTx5mwR07Rp2YtWuZCvi//wHnzzvGhm3b2Fynb1+OynfsoDPPkURE0JnfucORebVqRluULRCHngwpNYn+4osv0K1bNyxatAjdunXD0qVLATzcKBp4sFl0aGgoZs2ahaCgICxfvtz+b8AWKMV4+tatXG/cmAJITt4woEABxqqPHeP825df0qlOmMC+Cfbg9GlmrjRsyMrW77/nx24ZD+Q8jh1jv9zYWDrznJCcYCNMG3IxI6+++ipeTUaWM2mjaIDNoq2szs4NauvVY8VK794sufzjD/Ytc3KKF+cNymuvMfwxZgzbtL3/PvDSSwzVZJUbNzhNMWUKr5NjxjDKZTItKMdz+DDTZzduzIEzwFlDRug2wJBG0Y6kcGHgl1+AqVPZwzQgAB5HjxptlUPw92fO959/At7eDIfUrQusX5/1fU+ezNTDjh3pw95/P2c7c1frLVC7dgy51KplrEHZEHHoQvpQChg2DPj9dyA2FnUHDuQsopOHYKw0bkzFhCVLgJgY9g1p1SrjnZO2buV+AOCNN7i+aBFQtqztbc5WhIWhwYsvMuEeyEEJ9rZFHLqQMR57DNi7F//VqUMRkR496OFyAEoxG+bgQepB7dzJpKC+fYEzSfVHkyEujhk11v4LBQtSLFAA4OeH/wICnKi5qTGIQxcyTtGiCJs0iTOFixczzp6DWgblycPR9bFjvGlZsICaZ2PGANevP7jtzZuumDgRuHWLcrYrVgA//WSM3abkr784IPDwwKExYwBfX6MtytaIQxcyh4sLRVE2bmSvs/r1ma+egyhUiBOahw8DzzzD61v58pw8vX2b8r09e9bH6NEJHQCrV5down1WrgRatKCAu2ATxKELWaNZM5ZbNmwI9OnDxV75fSbFzw9YuJB541WqMHe9YEGgXz+gZMlYbNtGhy8kYsEC6hnUqMEroWATxKELWadECaZ9vPsuyxwbNOCwNYfh5ZVQUGvtG1KgQBy8vIyzyZTMmMG5l8ceo6aBk1YhG4E4dME2uLpytm/dOpZWBgZy2JoDuHiRNVjVqtE/vf8+n5syBdi/3ws1ajCF35maa2QKrYHRo6m816kTy3HlamdTxKELtqVlS2DPHio2vvgiM2GcXO501y5qq7/8MtOnx4xhyGX4cOC777ajXz9K3laowGKl7KjBnmXi4tgla+JEflA//iiqiXZAHLpge0qXppjSiBHMVW/YkJ7OifjuO6YuAkDr1nx7n3/O6FNiChW6i+BgTjPUrUu9mJo1gTVrHG6yccTGMt9z7lyO0GfPtk2prfAQ4tAF++DmRoHxlSuBkycpTOJE+Xrr17NoNj6e+elpZdvVqAFs2MC0xXv3gLZteSE4cMAR1hqMUsC1a5RQ/eCDHNJeyRjEoSfD7NmzUbJkSdSqVQvly5fHt99+a7RJ2Zd27Tg8rVqVmrQDBzIpO5uxf3+CfjrA1MSQEGZvphel2Dlt/35g2jRg+3ZWtw8aRKlcp+PMGb6xPHk4tzJ4sNEWOT3i0JMhLCwM48aNw759+7Bo0SIMHTrUaJOyNz4+lAwYNoxxiQYNWG6ZDfj3X0rD16rFMv1jx/i8h0fGnHlicufmvODRo5xiCA5mYdK0aVSLdQru3mVKa8+eXJcQi0MQh54M//zzDypZOhv4+fllSRddsJA7N8W9Vq8Gzp1jFsyXX5pWC+b6dcroVqzIjkaDBzNO3rmz7Y5RtCgnS//5h9e4oUMZmnGK+HquXMDHHwMffWS0JTkKcejJEBYWhkqVKkFrjZkzZ2KCFD7YjjZt6MEaN2bWw/PPs9LUJNy+Tdn38uWphNi+PVPqP/kEKFLEPsesWpUZfFaV5bZtGd7JloKW8+bxCggAHTqINouDMbdDb9Ys7WXq1Ae3t5afX7r08Lbp4PTp07h+/Tratm2L4sWLY8uWLejdu/f912NiYjBu3DgMHz482f+fP38+goKC4Ofnh6CgIMyePRsA4OPjgxUWJbmJEyeiWTrtcUpKlqQH++gjYPlyKlz99ZfRVmHHDqByZY7Gq1dnjHvxYqBcOcccv00bICyMp/QffzCvfeTIh/VhTIlV0L1/f6YkmvTOy9kxt0M3gLCwMDRt2hR79+5FeHg4Dh8+jL+teqfpIGmD6FdeeQWnT59Go0aNEBYWhhMnTuDYsWOoW7euHd9FNsDFBXjrLfYsdXEBmjZlCfi9ew41Q2vgv//42NeX4f516yhRU7++Q00BwMjUsGHsjfzii7zmVarELkam9ZGxsez6MWECHfqyZZLJYhDm7lgUEpL57YsWzfj/g/HzOnXqAAAKFSqE7t27Y9WqVWiUAZ3TxP1Erevt27fH9u3bMXXqVDRr1gwumZ1RczYaNGAh0quvcoS3cSOTvEuXdsjhu3cHIiOpUV68OOduzUDJksD8+Zw0fe01zi1+/jnDQYGBRluXiHPngGef5Qc4YQIwapQ4cwMRr5KEsLCw+w4dANq3b5/hFnLJOfSAgACcOXMGDRs2RHh4+AOv53i8vCjWNH9+Qi6ftdGBHTh4kLFygKJZvXoxn9yMNGjA5tHz5zPDpn59DoIvXDDaMvBCXL8+czl//JHqm+LMDUUcehIWLFiAHj163F9v2rQp9uzZk+r/JG0SnbhBNACEh4fD398fixcvxosvvnh/XUiEUuxbuns3UKYM+7K9/LJNm2ecPMlDVK/OBBuAc7KvvmrurDoXF9odHs5MmG++YWu86dMNlBH46SdObGvNfM4uXQwyREiMOHQbkLRJ9KJFi5A3b97760uWLIGLiwty5cr1wLqQDJUqcZQ+YgQzJmrXTujZlknOnWPet78/JzmHDgVeeMEm1joULy9OmIaFAY8+yiYbtWqxAtWhREezTVPNmmzblOiOVjAW8SoZxMXFBZ6enihYsOD955y+SbSjyZ2bsgG//05Rp8aNKc2bweHopUucdy1XjvnePXsyFXDqVPulIDqCypWZq75iBUNHTz1F8cLjx+184Dt3OCIvUoRzHZs3M9gvmAZx6BkkX758GDp0KMaMGWO0Kc5PkybMWe/Zk5q0jRoBR46k+W9XrgDvvMPGE1Onshjo8GFqQ5UpY3+zHYFVRuDAAQoYrl/PfPZ33rFTf5HoaN4WzJrF9cBAUUs0Iely6Eqp1kqpI0qpCKXUyFS266yU0kopM83DC9kZT0/WFixdyiFonTpM90glh2/zZmpAtWlD3ZTvvqN0rTPi7s7EkiNHmGzywQd07L/8YuM0x0KFmBifKLQomI80HbpSyhXALABtAFQF8IJSqmoy2xUAMBjAdlsbKQjo3JnB46ZNKfDVti3Fn0DHNXUq8OOP3gCYuXLgAPDDD3RuOQFvb/YTCQmhzswzz7Da1Ko9kyni4/nBnjrFmdnvvqPYmmBa0jNCrw8gQmt9XGt9B8BiAB2T2e59AB8BcO5uBoJxPPIIg8effQb8/jvuVa0BzJ8PBY1t24ADBzwBMByRUxx5Uh5/nNmEH3+cUG06dmwmBC6vXuWQ/803mTMpZAuUTuO+TCnVBUBrrXV/y3pPAA201oMSbVMXwGitdWelVAiA4VrrXcnsawCAAQBQokSJgMWLFz/wupeXFyoYeG987949uBqcvxYREYGrV6/eX4+JiYGHh4eBFiWPkXbdvu2C9Qvz4odFpbHhbgsUa1AQYa+/iRjPPKb7rIz8nC5dyo3g4PLYuLEESpa8hddei0CjRtFp2pTvxAlUf/dd5D1zBsdefRVRnTs7JL/cjOe6GW1q3rx5qNY6+bC21jrVBUAXAHMTrfcEMDPRuguAEAC+lvUQAIFp7TcgIEAn5eDBgw8950iuXbtm6PG1fvgz2Lx5szGGpIERdsXEaP3xx1qXLKk1oPXjj8frvW8t0DpvXq29vPSht97SOj7e4Xalhhm+v82bta5alZ9Zu3Zaf//93ylv/P33WufPr3Xx4lqHhDjMRq3N8VklxYw2AdilU/Cr6Qm5nAGQODfA2/KclQIAqgMIUUqdAPAogBUyMSrYipgYYPJkzscNG8YwQkgIEBKiUOuj7syEqVkTlSdPZuD4zJk095mTaNaMxZxTpjATtE+f+hg3LkkY5tYtFnL16MGJ5927Gb8RshXpceg7AVRUSvkppXID6Abgfl221vqq1rqo1tpXa+0LYBuADjqZkIsgZIRr15iS5+vLOqO6danl9dtvSXxNhQpASAiODhrEFJdq1Rj3Na2alePJlYtNqw8fBpo0uYj33uPHtHIl+GT9+szrHDWKn6GDtHQE25KmQ9daxwEYBGAdgEMAftBaH1BKjVdKdbC3gULOZexY9hRu2JDFo2vXAo89lsLGLi4407nz/dE6+vYFWrVyQLVN9qJ0aeCddw5h40amPLZvD3zVeRXu/XuOH/DEiewHK2RL0pWHrrVerbX211qX11pPsDz3rtb6IQUlrXUzGZ0LmeHqVY7Et27l+vDhwK5dwK+/ZkDK1jJax8yZVLWqXp3xGsNET8xJi0dvYt9XoZg8GRh84g343TiA8dtbIVZy1LI1UimaDNIk2rFYY7m5c7PZjVW6pXRpIFOilC4uzFU/dIij9BEjgHr1qDsikJdfRq6nW+HNoOs4dMQFjZ4pjrFj2QJv/XqjjRMyizj0ZJAm0Y5h926qHdauzb4WefNSayWFZlAZp3RpdkRatgy4eJGl60OGZJMWQHYgPh64cYOPx46lUlmBAvD25sMNG5id2KoVxcvOnjXWXCHjiENPBmkSbT+0BjZtotMICGDY9tlncf9W3y4pv506UQQ9KIgdIqpVYxwnJ3H6NPDEE9Th1ZrSk08++cAmTz7JKYhx43gNrFyZ0i0ObiIlZAFx6MkgTaJtT1wcsGQJGzY88QSwbx8FFU+dAiZNAvLnt7MBXl70Tlu3Uh+mQwfKCZw6ZecDm4AlSxKkbtu2TXVTd3cO3vfv57zFoEG8sdm920G2ClnC1A7dgB7RaTaJtpK4oUVyJNcsOiAgAEFBQQgKCsLOHBLPvX2b31G5ckC3buzfGRwMnDjB0LaXl4MNatiQ3mnCBMoIVKnCK4q1hZEzceUKe31260ad+b17gT590lX1WbEiY+kLF3JwX68em2dfu2Z3q4UsYGqHbgTpbRJ98eLFVPeTtFl027ZtUa9ePQQHByM4OBj16tWz11swBdYwda5c7A5UvjwVAI8cAV55xWDl1dy52S7NOmn69tscwTrTbOCaNczwWbCAmrp//plhyUmlGEs/fJjRqs8+4/Vv6VJJ8Tcrpk44NaBHtE2aRFtJ3Fs0NDQUhw4dQlBQEEqWLIlx48Zl3LhswpQpXE6cAPLlYw55on4g5qFsWQaL165lJ+ZWrRjQnzYN8PEx2rrMcfUqWzJ99RUVypYv5/A6CxQsyGhVr1507M89R2nimTN55yWYBxmhJ8EWTaKtJHXo06dPR3BwsNM589hYKqtapVobN2YVuTX125TOPDGtWzNobA3DVK7MApvsmJQ9YwbjjiNHAqGhWXbmialfH9ixg71M//yTc8sTJ7KRkWAOxKEnIa0m0V988QW6deuGRYsWoVu3bli6dCmAhxtFAw82iw4NDcWsWbMQFBSE5cuXO+Cd2J8TJ+g3ypRhqNaart+wIX2jw+PjWSFPHoZeDh/mxOHo0Ywv/Pij+eML165RAB6g3O2OHZwXsENcy82NsfTDhymbM3o0005//93mhxIyQ0qqXfZenE1tcc2aNXrjxo1ZtsHsaov37mm9Zo3WDRte1Epp7eKidadOWm/YYLzQoU0/q40bta5ZkxKFjRtrvXOn8TalRIsWWleooPXdu+na3JY2rVqltZ8fP6ZevbS+cCHz+zLbua61OW1CFtUWhXTg7I2iL19m0wR/f8ZPDx/2xOjRHKUvW8YcZgdIZjuOFi2YDfPll0B4OEMXvXqZR8kxKooylABvhxYsMESDpW1bRqvefpsZMVWq8E7N7Dc1zoo4dCFF4uMTfpjvvccKzlKlgEWLgCVL/sb77ztP0+VkcXUF+vdn+erIkczn9vfnh2GtuHQ09+4x3aRqVWD8eD736KMZELuxPfny8ZqyZw8/nl69RBfNKMShC8myfz9zkf/8k+tvvME05j//ZFpzrlw5aAjm6cmYtDVwPG4cP5zZsx0r+rVvH9CoEfD66/wbFOS4Y6eDatUobzxr1oO6aHFxRluWcxCHLgCgX/r5Z+aKA0xHq1KFg1SAmuS1ahllnUnw9eUofetWfkBBQfRa9k7MvnKFGjQBAYxxLVzIbBwT5gy6uAD/+x+VFp56KkEXbZforzoEceg5GK2Z2fbGGwyddOpEqROAt9ErV6aiP56TadSItyorVrBy6rnnqGmwaZNtjxMfz3xyf39+MS+/zGKoF14w/YSFtzcHCMuWAefP8+MZOjQh7C/YB9M5dJ2DZ1Mc9d4jIxnzrFoVCAwEPv+cPurXX4F16xxiQvZHKXaH2LeP3ZHOnaNITevWDCZnlZs3mf/Zrx/DO7t2AV98ARQunPV9O5BOnXgNeuUV1mtVr86bC8E+mMqhu7u7Izo6Okc6da01oqOj4W7HmvgNG1j0U64cMGYMULw4MGcOfdGyZQwPS7OaDOLqSgXD8HCK1uzcyV55nTsDYWEZ359VHD5fPg5rv/2Wgem6dW1qtiPx8uKgYcsWvq22bYHu3YELF4y2zPkw1c/X29sbUVFRaeqk2IvY2Fi7OtS0cHd3h7e3t832d+MG8NNPDJuUL8/Cx8uXWd3XvTsr3wUb4e7ODtb9+nEoOn06sGwZqj7+OGcJq1VLex8bNnDG+Y8/uL01/uUkPPYYb14++oh3iGvXMhW2d2/TR5CyDyklqNt7Sa6wyGjMWESQUZuio7U+coSPz57VWimtP/yQ6/Hxtiv+cYbPyq5ER2s9erS+mzcvv4Ru3bROrnAuLo5flNZaX7zI7SIi7GqaGT6ngwdZrwWwLuroUXPYlRQz2gQpLHJuzp1jw/bWrYESJagzBQAlSzL98K23uK6UjIQcRuHCwAcfYNuiRcxh//VXjrp79GB4BuCIPCCAsfj4eCrKLVrE2yknp0oVygXMns2J+Ro1gEWLykiKYxYRh54N0ZqdZT74gGHWUqWYABEezkyCiRMTtq1aVZy4kcR5efELiYykzsry5RT/KlWKeX1XrzJUkwO/JBcXYMAATpq2aQPMmVMeDRtmbupBIOLQsxmzZyfkhL/zDp97/30W/Rw7xvhkphorC/alWDHgxReBxx/nFfncOT5fuTKlenOgQ7dSqhTnesaOPYCTJ3n+vveeqDhmBnHoJufIkQJo3TpBQsTdHahThyGWs2epNT5mDB18DvYJ5ubQIXbDrlWLRUnvvccCofHjmRXz2GN09GvX5lgRFKWAZs0u4uBBoGtXFuMGBkpBUkYRh24izp+nxlKvXoBVgt3NLR4nT1KLCeBrP//MZIqSJQ0zVUgnKi6OymWrV+O+mtm77zLF6J13gJMnmRVz/DjjDgEBwA8/5NjOzEWLAt9/zymH6GiGFEeOTMjmFFJHHLqBnD7Nk3fAAN55lyzJObNVqxIcePnyN3DoEE9sIZtw4ADr3+/ehXZzAxYvZgz9gw+AQoUe3DZ/fpb1HzsGzJvHXNPnn+cJMWuWcSJgBvP00/wY+/ZlGLF2bd7cCKkjDt3BxMfzJPXzY+i0Z08OyCpUoJDRzp0suBgwwGhLhQyhdYJQ1/HjvNWyNp1o0oRDz9TInZsnxsGDPCEKFwYGDaImw6hR5pHtdSAFC1K9eMMGxtObNGFzDZEPSBlx6Hbi6tWExwMHsnAQ4Mz+mTO8s54xg4UW0dHUTXnzTcYNXeRbyT7Ex1PTpVEjBn4BoF074NQpDisziqsrtWG2beOQtEULXul9fXn1373bhsZnD558kpkvgwax1qpGDeC334y2ypyI68giWjM8snIlq9+ee46jb2/vhDCoj8+DqcXr1lGg7/XX+Zu3KhoK2YirV3lF9vcHOnZk1oq/P19zccl6/z2leJFYupR67AMHcvIkIABo3pwXkRwUZ/fwoDP/4w/qobVsyVTdxAMnwWSl/9mFv/5imtXevdRmio5OeK18ecqFNmjA28S8eSkhKjgJ4eFsMPH117z3b9SIV/LOne0nhFOuHKUExo1jetOnn/Ii4usLvPoqQzVphXSchCZN+JsbN47SOWvWMCzTpo3RlpkDGaEn4d49Jh5s3JggHrRmDUfc1q72u3ZRbOj6deDZZzl3tWULRwsREQyBDhtGZy44Cfv2UVWqUiUWA3TqxAmPrVs5iekIVbOCBdk26tgxnmRly3K04O1NQZQdO+xvgwnIm5cTpdu28UaobVs2lrp2zWjLjCddZ6FSqjWAGQBcAczVWn+Y5PWhAPoDiANwEUBfrfVJG9tqM27eZEl8ZGTCcvw4cPBgA1y8mDC3tWgRtZJKl6YyqpWXX2YSgygTOjnHjzN84usL3L7N+PW4cdSCNTJn1KrB/txzPJE//xz47jvgm284CTNwIC8yTj6iqFePsgHjxgFTpnDy9KuvHvyt5jTSHKErpVwBzALQBkBVAC8opaom2WwPgECtdU0ASwFMtrWhqXHzJlMA9+7lyPqHHygdbU1zunCBocclS7h+4ABDIt26MYFg+XJe3StVuo7hwykpu3EjtVEAoGZN/lascfC8ecWZOz23brEQaMIErterx5Ns7FhzFQBUr06HfuYMQ0E3bgB9+nDU/tZbCbeVToq7O/Dhh7xDdnfnBOqgQTk22zNdI/T6ACK01scBQCm1GEBHAAetG2itNyfafhuAHmnt9MqZG1jwxi7EwQ1x2pVLosd3tRsqVMuDLq8WAwD0630PTZu5oFdvhZs36ZD/+4/x69jY5I8xeDCL8Ly8KFqVPz+fr1yZhQtly3IC08ODz4eEHESzZsXT8ZEITkV8PGfbFi3iBOTGjbxqL1iQoEOuFEfGZsXTk55s4EBg82Y6+U8+4dC1RQvGJDp1otdzQho2ZMbY6NGcq167ltMcjRsbbZljUTqNUmOlVBcArbXW/S3rPQE00FoPSmH7mQDOaa0/SOa1AQAGAIAragXcw95Uj92myB94a2k8AOCtJzzQvNIRtPm8NOJvx2H6M3fhlfsmCua9Ca/8sfAscBteXvfgUSgeBYoAHsVckLtSUcT5lU7rM7hPTEwMPKze3SSY0SbAnHZlyCat4REejhKbNqH4pk3Ic+kS7rm749Jjj+HI8OGIt5HjM/Jzyn3xIkquW4dSq1cj79mzuOvpifMtWyKiefP06bM7GFt9Vvv2eeGjjyrj3Dl3dOkShX79IpEnT7yhNtmS5s2bh2qtA5N9MSVdXesCoAsYN7eu9wQwM4Vte4Aj9Dxp7bd6her66C8HdOQv+/Spn0P1v8u36Qs/b9WXl4foa8s26Js/rtTxf29LEAGeMkXrtWv5+OZNrbt317ptW60ffVRrf3+tixbV2sWFAsvWZfhwbh8To3WBAlrPns31c+e0HjyYQuHffKP15s1aHzumQ9avt4lesS0xox6z1ua0K02b4uK03rKF50WFCjxHcuXSukMHrRct4nniaJscwb17Wm/YoHXXrny/gNYNG2o9b55d3nNmseVndf261kFBfKuVKmm9bVva/2Nvm2wFUtFDT0/I5QyAMonWvS3PPYBS6kkAowE8rrW+ndZO83jlQYUOSUPxqTB8eMJj6+1wUuLjmXpy+TKXIkX4fFwc44qVKnH9zBmWWScpOWuqFOOjPj5cBg0CmjblPo8eZawmX7702ywYz61bzB/18mIBQLt2DJ20aMEYc+fO2a5PZ4ZxcWFw+ckngUuXEPHuu6gQEkJBoCFDOIHaqxfjk06i8ObhwXm0Z5/l22zUiF/3uHFAnjxGW2c/0uPQdwKoqJTyAx15NwDdE2+glKoDYDYYmjGuU6C1oMPLi8FxK15eDKxZqVuXTjomhpKFp08Dp07hxO+/w8/VlVV+//yTULWwfTsrGTZvBpo1Y4x1zhzmB5cvn/DX21uqhIxGa+DKFWqm3LzJxqlDh1LZsEULYOFC5rlltfAnu1K0KKK6dkWFWbNYUDF3LucO5s7lOfzSS6xITfz7yca0bMkq06FDOXm6ciUTHLJxi9bUSWnorh8MpbQFEA7gGIDRlufGA+hgefwbgPMA9lqWFWntM1u1oLtwQeufftL6v/+4vngxb9nd3B4M8eTKpXXFilq3aqX1q68mtBa7coX3gLa0yWBMY1d8vNbh4VrPnavPtmql9SOPsKeZlU8+0XrrVsPMM83nlIiHbLp+naHHFi3YLg/QumlThmSuXjXOLhuzcqXWpUrxZ/v++1rfvWu8TZkBWQy5QGu9GsDqJM+9m+jxk1m7rJicYsV472bl+ee5xMWx7v/4caaHJf67fXuCtseMGXx86xbv977/HjhyhCN761K6tIi4pIfYWN49bdsG/Pknl/PnAQBFPD2BVq3Y0s3KG28YZGg2wsODI/OXXuLd6fffcxjbrx/Djp06MSTzxBPZ+g60XTum7f/vf1QuXr2a6fvO1PFPsqmzgpsbi058fXk7nxRrBlGrVqzyswbvQkKA+fMZ87eSOzdvc60O3t+fYi8ALxw5NfH9+HGGuvr2ZXy3f/+E+RMfH95TN2kCNGmCrefOoVnz5sbam93x8QHefpsFGjt20LEvXsxQValSHMh0784CpmwYby9cmG+nQwc69tq1qapgPb2yOznUSzgI6xnSoMGDguZz53LG5tQpOizrYh3db91KbQ6rQ3/6aTr/9eu5PnUq9+3tnbA88oi586RTIj6ewlaRkdRJOXiQy2ef8cK2Zg1HiU89RSnZoCDeLQUG0vkkxjJSF2yAUgnn7bRpLNxYsID57dOnU+/5hRe4VKlitLUZpnt35qj36sUxwsqVnBYrVsxoy7KGOHSjyJWL93rJ3e9p/WCpW+fOD47mv/iCjj8xSrF6ytubf5s3p6AMQCWx8uU5HNGaE8IeHo4J8dy8yVmpChWYdRQWRvGbEyfoxE+eZFm9lTx5mE0UHU2H3rUr75W9vfl6TqsUMQN58gBdunC5cgVYtowTqRMmsKFtrVr0kN26PXyRNTE+PsxvmDaNNyU1alA6oG1boy3LPOLQzYhSCeWrAMVjEhMRQa2CqChm6ERFPfj433/pKK306cN7yunTGce3ZnjkywcUKPDg4uHBi401bhoby3vT559n6OjMGWDECFT9919g5kwK39y5Q3sSLxMnUgnw6FHg0UcpA9u5M3DxIh/7+lJToUMHhpr8/Oj0/fweDC8VK5b9h03ORMGCPJf69uWd1Q8/MBwzYgSXxx6jc3/uuWzxvbm4cNzTsiW7hbVrx5vAqVMTKsuzE+LQsyNKJaRnpqfib8+eBKEmFxeerdevJ7+cP08nfekSt79zh90EHn2U67dvA3//DY+7d1lu7ubG+L+nJ+8MPD25VLXUGFSowPvZQEthW4sWCfsWsjclSzIs+PrrvGO0xtoHDuRzTz5Jx/7MMwk1ISalZk1OGYwZQ8WETZs4N5zdEIeeE0gc1nF3TwjFpAdPT8b6rZQrBxw7hh0hIWjWrFna/58/P4c9gnNTrhzjFm+/zbDawoVUw+vfn0PeFi3o3Dt1Mq1zd3fnWKddO96cNmwIvPRSWTRunH1yEiRPThAE21KjBjBpEif5d+3iACIigqHDEiU4wf3ll6a9U2venJmx3boB8+f7oUmT7CNaKQ5dEAT7oBR1qz/8kA49NJSNc48fZxf0kiUZvJ4zh3MrJqJgQYZc3nnnAA4fBurUSV5txGyIQxcEwf4oxXr7SZM4Ub57N8VVTpxgw5BSpVBr2DB2g7pgnHpIUlq0uIh9+5jI06MHQzHXrxttVcqIQxcEwbEoxSHvxImsPdi7Fxg5EnkuXmS8vVQpaibNmPHg/I1B+Piwtm3cOI7a69Zl90EzIg5dEATjUIrD3w8+wI5vvmHv1tGjWYcwZAi70NSrx5H9kSOGmenmxmZVISFM9GrUCJg8+cHyEDMgDl0QBHOgFPMHx49npsyRI4y/u7gwe6ZyZabpvvMOU3HTaM5jD5o04TXnmWeYdt+qFQVbzYI4dEEQzIm/P73m9u0smvvsM2bJTJzIuIefH3Vxt2wB7t1zmFmFCrGe6ssvqdJRsyZLLcyAOHRBEMyPtzc1fTZtYoXqvHlskD1rFofNpUsz/r5uHYvh7IxVJy40lIdu3561VCn1N3YU4tAFQcheFCtG6YGVK5nuuGgR8PjjnLFs3ZpNTXr2BJYvp5aQHalShUrOgwfzBqJBA+DwYbseMlXEoQuCkH3x9GQF0JIldO4rVrAadfVqqnIWLUoNoQULKCxmB9zdKZO0ciVllAIDjZMNEIcuCIJzkDcvYx/z5zMs89tvFKb7+28mkRcvzhH8nDl2kVpu144ZmAEBvEHo39/uNwgPIQ5dEATnI1cudliaNYsKpH//zTTIo0fvFzLh8ccZJznzUM/7TFO6NCV5R4+mFK+jQzDi0AVBcG5cXKgWOnkyJQj27WPqY3Q0ZzK9vZlY/vHHrFzNIm5uwAcfsDfLuXOODcGIQxcEIedgzXV/7z02GD10iN731i1g+HCmQgYGMv/96NEsHapVK8eHYMShC4KQc6lcmfGRPXs4ep88mY2wR40C/P0R2K8fC50OHszU7h0dghGHLgiCALBvwJtvspDp5Elg2jTE5c9PEZdq1ZijOGYMh90ZqFJ1ZAhGHLogCEJSfHyAIUOw99NPOWk6axYnUidNorBYhQqsYt21K93OPWkI5uWXbV+IJA5dEAQhNUqVYl9da5XqnDlAxYrsVVevHh+PGcOYfBpYQzBvvw3MncsWrDaYh72POHRBEIT0UqwYh9Zr1zKXfd48tt+bNImdmmrUACZMYDw+BdzcuMmKFeyEFBDA3dkCceiCIAiZoXBhShCsX88S0Zkz2epozBiO2uvVYypkVFSy/96+PSM23t5A27ZMvMmqHK84dEEQhKxSogQwcCDw55+cUJ0yhbH14cOBMmWApk2Bzz9/qBtThQqseerZk3OvTz8NXL6ceTPEoQuCINgSHx868l272JFp/Hg2xB44EHjkEQ7Nly69PyOaLx/w9dfAF19QrSAggB36MoM4dEEQBHtRsSKrUg8cYIXqsGH01s89x8nWoCDgr7+goBEUxAF+XBwLV7/6KuOHE4cuCIJgb6wVqh99xD6p69czvvLdd0x1qVgRGD8eDYpHYvduSrz365fx1EZx6IIgCI7E1RVo2ZLO/Nw5qkP6+LBpablyKNblcazt+hXeHn4bc+cCjRunv1d2uhy6Uqq1UuqIUipCKTUymdfzKKWWWF7frpTyzdAbFARByIkUKAD07s0c9xMnmM947hxcB/TDhOCi+KXlTBw9HIfAQI2QkLR3l6ZDV0q5ApgFoA2AqgBeUEpVTbJZPwD/aa0rAJgG4KMMvSlBEIScTtmyrDg6fJjNSrt2RYetI7DjRjUUuRaJJ5+Ix4xJN1LdRXpG6PUBRGitj2ut7wBYDKBjkm06AvjG8ngpgCeUUiqDb0cQBEFQirOi8+YBZ8+i0uxh2F6tH56OX4Ehb+dP/V91GjoESqkuAFprrftb1nsCaKC1HpRom/2WbaIs68cs21xKsq8BAAYAQIkSJQIWL16c4fdqT2JiYuDh4WG0GQ9gRpsAc9olNqUPM9oEmNMuM9mUNzwCP07Pj48PdQ/VWgcmu5HWOtUFQBcAcxOt9wQwM8k2+wF4J1o/BqBoavsNCAjQZmPz5s1Gm/AQZrRJa3PaJTalDzPapLU57TKjTQB26RT8anpCLmcAlEm07m15LtltlFJuALwARKfnqiMIgiDYhvQ49J0AKiql/JRSuQF0A7AiyTYrAPSyPO4CYJPlSiIIgiA4CLe0NtBaxymlBgFYB8AVwFda6wNKqfHg0H8FgHkAvlNKRQC4DDp9QRAEwYGk6dABQGu9GsDqJM+9m+hxLIDnbGuaIAiCkBGkUlQQBMFJEIcuCILgJIhDFwRBcBLEoQuCIDgJaVaK2u3ASl0EcNKQg6dMUQCX0tzKsZjRJsCcdolN6cOMNgHmtMuMNpXVWhdL7gXDHLoZUUrt0imV1BqEGW0CzGmX2JQ+zGgTYE67zGhTakjIRRAEwUkQhy4IguAkiEN/kDlGG5AMZrQJMKddYlP6MKNNgDntMqNNKSIxdEEQBCdBRuiCIAhOgjh0QRAEJyHHOnSl1FdKqQuWbkvW5worpTYopY5a/hZysE1llFKblVIHlVIHlFKDjbZLKeWulNqhlNpnsek9y/N+lobgEZYG4bkdZVMi21yVUnuUUitNZNMJpVSYUmqvUmqX5Tmjz6uCSqmlSqnDSqlDSqmGBp9TlSyfj3W5ppQaYoLP6Q3LOb5fKbXIcu4bfk5lhBzr0AF8DaB1kudGAtiota4IYKNl3ZHEARimta4K4FEAAy0NuY206zaAFlrrWgBqA2itlHoUbAQ+TbMx+H9go3BHMxjAoUTrZrAJAJprrWsnyl82+ryaAWCt1roygFrgZ2aYTVrrI5bPpzaAAAA3ASw30ialVGkArwMI1FpXB6XCu8E851T6SKmVUU5YAPgC2J9o/QiAUpbHpQAcMdi+XwC0NItdAPIB2A2gAVg952Z5viGAdQ62xRv80bcAsBKAMtomy3FPIEn7RSO/P7B7WCQsCRBmsCmJHU8B2Gq0TQBKAzgNoDAoK74SQCsznFMZWXLyCD05Smitz1oenwNQwihDlFK+AOoA2G60XZbQxl4AFwBsAHvGXtFax1k2iQJ/EI5kOoC3AMRb1ouYwCYA0ADWK6VCLU3RAWO/Pz8AFwHMt4Sn5iql8htsU2K6AVhkeWyYTVrrMwCmAjgF4CyAqwBCYY5zKt2IQ08BzUuyITmdSikPAD8BGKK1vma0XVrre5q3x94A6gOo7MjjJ0Up9TSAC1rrUCPtSIHGWuu6ANqAIbOmiV804PtzA1AXwBda6zoAbiBJKMOoc90Sj+4A4MekrznaJku8viN4AXwEQH48HJI1PeLQH+S8UqoUAFj+XnC0AUqpXKAzX6C1XmYWuwBAa30FwGbw1rOgpSE4kHzjcHvyGIAOSqkTABaDYZcZBtsE4P5ID1rrC2BcuD6M/f6iAERprbdb1peCDt4M51QbALu11uct60ba9CSASK31Ra31XQDLwPPM8HMqI4hDf5DEza57gTFsh6GUUmB/1kNa60/MYJdSqphSqqDlcV4wpn8IdOxdjLBJaz1Ka+2ttfYFb9k3aa1fNNImAFBK5VdKFbA+BuPD+2Hg96e1PgfgtFKqkuWpJwAcNNKmRLyAhHALYKxNpwA8qpTKZ/kdWj8nQ8+pDGN0EN+oBTyRzgK4C45i+oFx2I0AjgL4DUBhB9vUGLzN/AfAXsvS1ki7ANQEsMdi034A71qeLwdgB4AI8JY5j0HfYzMAK81gk+X4+yzLAQCjLc8bfV7VBrDL8h3+DKCQCWzKDyAagFei54y26T0Ahy3n+XcA8hh9TmV0kdJ/QRAEJ0FCLoIgCE6COHRBEAQnQRy6IAiCkyAOXRAEwUkQhy4IguAkiEMXBEFwEsShC0IqKKXaKKUmKKXktyKYHjlJhRyHRWxshkX7OkwpVS7Ra3mVUr8rpVwtTzUFsBOUO4BSKrdS6o9E5eCCYBrEoQs5kVEAjmutqwH4FMD/Er3WF8AyrfU9y/o9AC/Coruutb4DVjM+7zhzBSF9SKWokKOwaKz8obUOsKw/CWCQ1voZy/pfALprrU+kso9aACZprdva32JBSD9y2yjkNJ4EUMai7w6wocFvwH0513KpOXML+wHUs5eBgpBZJOQi5DRqgwJjtTU13teDImgAUBTAlbR2YAnH3LEqKwqCWRCHLuQ0CoE9LGGZ2HwKwK+W124BcE/nfvIAiLW5dYKQBcShCzmNcLABNwC8AWCV1joSALTW/wFwVUql6tSVUkUAXNJshCAIpkEcupDTWASgrlIqAtR6H5rk9fWgLn1qNAewyg62CUKWkCwXQUiEUqougDe01j1T2WYZgJFa63DHWSYIaSMjdEFIhNZ6N4DNiQqLHsCSCfOzOHPBjMgIXRAEwUmQEbogCIKTIA5dEATBSRCHLgiC4CSIQxcEQXASxKELgiA4CeLQBUEQnIT/AwpC8LRMug8lAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t_TM, t_TE, r_TM, r_TE = fresnel_equations(\n", " theta, wavelength, n2c, n1, has_draw=True, kind=\"real_imag\"\n", ")\n", "T_TM, T_TE, R_TM, R_TE = transmitances_reflectances(\n", " theta, wavelength, n2c, n1, has_draw=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Phase difference between the two polarizations**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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