{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Photonic crystal slab cavity\n", "\n", "In this notebook, we will simulate the commonly used L3 photonic crystal cavity composed of three missing holes in a hexagonal alttice of holes in a silicon slab. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline\n", "\n", "import tidy3dclient as td\n", "from tidy3dclient import web" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Coarse simulation\n", "\n", "We will first run a coarse simulation to examine the spectrum, and zone in on the fundamental mode of the cavity. We start with defining some general parameters. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Number of PhC periods in x and y directions\n", "Nx, Ny = 12, 10\n", "\n", "# Lattice constant of the PhC in micron\n", "alattice = 0.4\n", "\n", "# Regular PhC lattice parameters\n", "ra = 0.25 * alattice # hole radius\n", "d_slab = 0.22 # slab thickness\n", "n_slab = 3.48 # refractive index of the slab\n", "\n", "# Materials - air and silicon\n", "air = td.Medium(epsilon=1)\n", "si = td.Medium(epsilon=n_slab**2)\n", "\n", "# Mesh step in x, y, z, in micron\n", "dl = 0.04\n", "mesh_step = [dl, dl*np.sqrt(3)/2, dl]\n", "\n", "# Central frequency around which we'll look for the cavity mode, in Hz\n", "fcen = 2e14\n", "\n", "# Number of PML layers to use along each of the three directions.\n", "npml = 15\n", "pml_layers = npml*np.ones((3,))\n", "\n", "# Simulation domain size (in micron)\n", "sim_size = [(Nx+2)*alattice + 2*npml*mesh_step[0],\n", " ((Ny+2)*alattice + 2*npml*mesh_step[1])*np.sqrt(3)/2,\n", " 4]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we define the positions of the holes that make the photonic crystal structure." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Define x and y positions in one quadrant of the simulation domain\n", "xp, yp = [], []\n", "nx, ny = Nx//2 + 1, Ny//2 + 1\n", "for iy in range(ny):\n", " for ix in range(nx):\n", " xp.append(ix + (iy%2)*0.5)\n", " yp.append(iy*np.sqrt(3)/2)\n", "\n", "# Remove the first two holes to make the L3 defect\n", "xp = xp[2:]\n", "yp = yp[2:]\n", "\n", "\n", "# Append holes for the other three quadrants\n", "xf, yf = [], []\n", "for x, y in zip(xp, yp):\n", " xf += [x, x, -x]\n", " yf += [y, -y, y]\n", " if x > 0 and y > 0:\n", " xf += [-x]\n", " yf += [-y]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialize all structures." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "slab = td.Box(center=[0, 0, 0], size=[2*Nx, 2*Ny, d_slab], material=si)\n", "\n", "holes = []\n", "for x, y in zip(xf, yf):\n", " holes.append(td.Cylinder(\n", " center = np.array([x, y, 0])*alattice,\n", " axis = 'z',\n", " radius = ra,\n", " height = d_slab,\n", " material = air))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialize source and probes. We are looking for the fundamental mode of the L3 cavity, so we use a y-polarized source at the center of the cavity. We also place a time probe in the same location. We set the simulation runtime to extend past the source pulse, and the time probe starting time to start after the source decay, such that we can exclude the source signature from the spectrum. The duration of the source is determined by the bandwidth `fwidth` as well as by the dimensionless parameter `offset` that defines the position in time of the peak of the source, in units of `1/fwidth`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Bandwidth in Hz\n", "fwidth = 4e13\n", "# Gaussian source offset; the source peak is at time t=offset/fwidth\n", "offset = 4.\n", "\n", "source = td.GaussianSource(center=[0, 0, 0], size=[0, 0, 0],\n", " f0=fcen, fwidth=fwidth, offset=offset, polarization='y')\n", "\n", "# Simulation run time past the source decay (around t=2*offset/fwidth)\n", "run_time = 20/fwidth\n", "\n", "# Time probe at the center of the cavity\n", "t_start = 10/fwidth\n", "tprobe = td.TimeProbe(center=[0, 0, 0], size=[0, 0, 0], t_start=t_start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will make sure that we have set everything correctly after initializing the simulation. This is because the source and probe objects currently do not know what the `run_time` is. This parameter is initiated only at the time of creating a `Simulation`. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initializing simulation...\n", "Simulation domain in number of pixels: 170, 145, 100.\n", "Mesh step (micron): 4.00e-02, 3.46e-02, 4.00e-02.\n", "Total number of time steps: 7602.\n", "Estimated data size of probe tprobe1: 0.0000GB.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sim = td.Simulation(size=sim_size, \n", " mesh_step=mesh_step, \n", " structures=[slab]+holes, \n", " sources=[source], \n", " probes=[tprobe],\n", " run_time=run_time,\n", " pml_layers=pml_layers)\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n", "td.viz.relative_eps(sim, normal='z', ax=ax[0]);\n", "td.viz.relative_eps(sim, normal='x', ax=ax[1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also make sure that our source excitation, and the time interval in which we record the fields in the time probe, make sense." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tidy3D TimeProbe:\n", "name = tprobe1\n", "center = [0.0000 0.0000 0.0000] \n", "size = [0.0000 0.0000 0.0000] \n", "t_start = 2.50e-13,\n", "t_stop = 5.00e-13,\n", "\n", "Number of time points: 3801\n", "Store E: True\n", "Store H: False\n", "Has data: False\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Check probe and source\n", "print(sim.tprobes[0])\n", "td.viz.source_time(sim.sources[0]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run simulation and examine the spectrum\n", "\n", "Now that the simulation is constructed, we can run it using the `web` API of Tidy3D. First, we submit the project." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Submit a project to the cluster\n", "project = web.newProject(sim.export(), taskName='L3 low res')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can continuously monitor the status until the run is succsessful." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Project \"L3 low res\" status: success... " ] } ], "source": [ "web.monitorProject(project['taskId'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the run is successful, we can download the results and load them in the simulation object." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Tidy3D TimeProbe:\n", "name = tprobe1\n", "center = [0.0000 0.0000 0.0000] \n", "size = [0.0000 0.0000 0.0000] \n", "t_start = 2.50e-13,\n", "t_stop = 5.00e-13,\n", "\n", "Number of time points: 3801\n", "Store E: True\n", "Store H: False\n", "Has data: xmesh, ymesh, zmesh, tmesh, E]\n" ] } ], "source": [ "!mkdir -p out\n", "web.downloadResults(project['taskId'], target_folder='out')\n", "sim.load_results('out/probe_data.hdf5')\n", "print(sim.tprobes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We finally plot the time dependence of the field in the center of the cavity, and the spectrum computed using a Fourier transform of that field." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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s34Ff3pOT6Y9ccQ9+eEtOxvprdfxo+WM4/9u3Zts+f/UD+PFt63Dlnblqef63b8WHfpyTvx37BvFvv7gXbxGq8Jf+sAYfu3Ilrrk/J4QBAeMJzIyvXLsG7/jOchw6awp+9t5n4rTFB+LIub2ox5y9HAcENINA4lIYctRfL070Zg7WSNy+9K3JRyw0GPWqXyGNZvKuREVpzJCxQYUAGes0Umbe7jTCZY6j2WK2GXLUJdiRGQ+NjOXkLzluVbQb8BBm116JehyX2mlgroM8nrls+zxvuLmd+ZgbQmcIs6YODWbXSo5L8nev5xqbc+/R1N30ePuUdoZwaffG7lT12qsoo5WUfWve053pmGkqbZdRd5WxM9s0VdiMmabumnvjiZSoS2X1kW27074bJ/oEBIw17B2o432X3on//vUqvOQp8/Hjd52BBTMnAwCWzpsGAHhg0y5fFwEBFkKJkRTGBakRi8GUPGiTuFHitInT7K5NZIZQaH3WjSqkkCNDGjQSZyZczbXb7yF/ROVu2P7BGJO6Kjk5quQnQ6mkpo1Zfy1pl42dYA/GhrIYLSLKyKYkzoZUmXNxExqSvovbzPkZ4qyNqzm/7mq5iqnZu3ugSP7cdv3K9TDQVLp9nnuRUU7ifKoweXzl/YN1YHKXeg+bMdfOb99gjJ5qpeAKByTZLI7nYJ3RXSWVqJn/D9oLU0DAWMaG7XtxwXeXY+WGHfjQC47Cu888wvp/eficqahEhNWbQlxcQPMIJC7FgIdYDNbMxFJsZyZcjYyZvrTYNkO0tHaGHPmUMY2MGfVJVU3S4w0qfVaonPztq9UxA10l5A+lthjyJ111BuaUNTtrMaOrQtn+kqjFGYlLSY6H5MpRNd5lc357FLJiVCxJVsynjHQqxzMxX5WKQqpq5e0MkVRd9B7SaIbDR/72eNzGGnz3lLk/I4UE+shtFJUrePtqdXRXI68S6/stIGCsYfnaJ/Cu792OfYN1fPPcZTj72HmFfXqqFRw6a4oVmhEQ0AgddacS0QuJaBURrSGiD3v2ezURMREta5UtGclRlByNUBgMeCZjn+Lkm8TNNp8bbqBWbGf4h67ElRMf006dcB2SWlPGR00GqZW3M0TJtJNE1lUapYJniIE5P0mOTR/Z+Yl2FUeJk/YaMpQrQPk5GN7ic2H7kjp87YydWligT4kz940mVJlx2T1QVMbM7tr9lr/AFH+reVzYAx5V2PdiYP6vDSihC4Y6++IlAwLGEn5066N44zdvQm9PBVe8+wyVwBksnTsNq4M7NWAI6BiJI6IKgC8DeBGAYwG8kYiOVfabBuB9AG52fxtJmMlKVeLq5Yqa2aa6Wj2TuCGLep+NbVFVEyU437VFI2Fmd62d69Y07lEgd9FpZMwdl5poZ1yBGgnIXJDKuVcddUcez0eYXDslGTc2mHGRfbqKqK5UJX81hTOPQyy//l4lTiV/HlXY46Kvee6bAc/xfKpwPubaC4VHifPECrrEOSBgrGKwHuNfr1yJf/y/e/C0w2fhp+95BpakcW9lWDKvF2u37fa+HAYESHRSiTsdwBpmfoiZBwBcCuAcZb9/B/BfAPYpv40YapmSk//nYSdwXxIRg7pnMva5aDPlR4uJi+19tD59hEKL+cozSct/0wheTsKSv/I0jYNNs8nYYIilbOcqcQMKiTN9STee+ayNXdauVnSnxo7aJtU9NwbLl7wwKJSq2GmnkSqvEtdEUsdQSfygQqbd42l9+uzMVGFlUvH1aS6bFg/ocxcbaLYEBIwVPLl7AG/91i24+Ia1ePszD8O3zzsNM6d0N2y3ZN40xIyQoRrQNDpJ4hYAkEWj1qXbMhDRKQAWMfMvfR0R0QVEtJyIlm/ZssW3aynMxCfVgZpDfPxKXLFP3yTnS5aIFfXK7VOdcB3CZdvpU3fKzy9zayq/mS2aTa4SZ8eoOQqXGJ+MENaKJC63qUjGTFax+U2SRldFtN23DsGTSpyjCkmCb/rKia9w+zolVDQ3pW9cTZ9qzJ/nnqo5xFIis8Vz/TU1MRs7jxvd5y723cOqEpf+DdmpAWMVqzbuxDlfvh7L1z6JT7/mBPy/lx6rln3SsHReLwCEuLiApjFqS4wQUQTgMwD+vtG+zPyNdC3DZXPmzNmv42UTp5g8XAVGU7jMJOWbrLSJs64Qkey3LDu1eNy8z6G5dk1fvpg/n4KnEYOaQwxk3zVHoZSB+CbDVXPHudskh8uVuCIBcseaBakyh84VvOL51TV3selbIWNuOznklcg9v6JCmSe9lI+5T4lTkyUKxDKH94UiK69Tbktdu7/rvgSTxupuSGwIGG/47cqNeNVXrsfewToufefT8Npli4bU/rDZJkM1xMUFNIdOZqeuByDv8IXpNoNpAI4HcG0a03QQgCuJ6OWtWETaTICSULguSLUciEIM4pgRRVRoJ4mMOZ4yN2aKWiFYH0Id9Kgmpm9W3Ia+siU11c5ypdElvrYSV04ozDlrLl5XMZI6nCF0GlkdrNt92UqcvY8kTvl1KLpo3Vg6aWcW06aon5UoKZGitRuox6hWIkGcFVKtkJxa2m5AednI9yl/MfCRuP7sZUUjcbZN8t7wxnx6MrN9MZ815Z4PCBjtYGZ88Q9r8JnfPYATF87A189dhoNmTBpyPz3VChaHDNWAIaCTJO5WAEuI6DAk5O0NAN5kfmTmPgCzzXciuhbAB1tB4ABJDPLJwyVRvsB/qw5aHKMnqhRcdZZSpcRnZcd1EhRsYlk+cbqxbVqigT7h2uTGatdEZq6mrBSVuPLzs0iqQ8ZkHaWMxCnn5yPceQZqbNlk95XuWzhLPQ7NVeIkOTbJANr5DdYY6M6VVO2eqmeu79x9W4sZ1Upug1okWnmhMOh3yLGETzHOYgUVF29T7lTl/vERtUEPoQwIGK34+M/vxcU3rMUrT16A/3zVUzBJKeLdLJbOm4b7NwYSF9AcOuZOZeYagPcC+A2A+wBcxswriejfiOjl7bbHDeCX23yqST0uTlJlwfKDClnRSKOb0Wn3jUJf2W8OOaoryp/mhnXJmDYGGtnMSq8oKze4Cl6sqIIaIc368hT01WK/XKIsSZwb1yWHzrVFt1NXxqR9cswM2dTJu61C+TJX5fGKJLWotmrXnd3xVBI4XOIsUXPOT9qUjasn5k+9Fz1qoo9QBgSMRjAzfnL7OrzkhPn4zOtOHBaBA4Alc3vxSMhQDWgSHS32y8xXAbjK2fYvJfueOdLHj5WJTFd3im64rJ3i2iuW11BInOKmrMUxKlEld4sqKp9GxswqBy6hkOb6JuosPsuzSoIva1M9Pzc7VbSrO+cuSYDb16BFcp2+lWuVlTuRRCazqXgubj06OTwZ4fGS1PLx0VzfWexdEy56TbnN7bX3Tc5PV726KpT9pt0HdQ8Zc5NstLhHn7qnq8I2gZVxj74kooCA0Yh1T+7Fjn01nHHELO/KKM3CZKg+tGU3jj14+ghYGDCeMWoTG9oBX6kJ+buvBIdGtNyyI9ri6j4iUvbX3iYVEf037fx8yQs6IS0nG5mypQSxu2VAtGzR3G2oKU5239Z5eZU437j61DZY9kqb63XbJnmuNWVczWNcW62iGXVXKwRt+jLJFXWNVCmqYH5/2se3xzx10UpFtORFxOfClnBDEJp/MbDvm9EIIlpLRPcQ0Z1EtDzddiAR/Y6IVqd/D0i3ExF9IS1ofneacR8wjrByQx8A4LiDZ4xIf2YN1dWbg0s1oDEmNomTikxGEPLfXWXKV2IkVvuyyY0WFyQnN9cV6Js4XQVP/qa5FLUJnh2lyafg6UqTq2LJMSgfM/f8agrJycuCKERUIytOIoXlTo3tvrRxcZNC7G3l5Fa7N8zbuC/mLz+Hoam7LvmzkjQ8qpdL7AeV+MW6pjQ6MXHaS462AoZrn+Wi98QD+paqG2V4LjOfxMxmFZkPA7iamZcAuDr9DiTFzJek/y4A8NW2WxrQUqzcsAOViHD0Qf5Cvs3isNlTUY0oJDcENIUJTeJiTT3zKGN6OYhy1avw14oLaqzEaSqYpkK5aqBWDFePr7P3c12gZcczcLNM7XblMW2FmMEmxi7Z35yvZ+wUQulu0+KzVNXTUVJ9apI3XlIqauyMuWd8fPeGFtvWTFyft29hSuHe8NyLNeUaub/57kV5a/nqJ45ynAPgkvTzJQBeIbZ/hxPcBGAmEc3vgH0BLcKK9X04ck7vsGPhDLqrERbPnooHQpmRgCYwoUmcGsc2RHeqqno5qoVGLHQ3kx3vpMWo+foqKHgeoqftp6lDmnrlrjeqqpGechduzJ+l/LlKnKLSaYphkXQIYuEkg/jcxbLMijFdVcYKKq1G8O2/Vl/OGEhoS3IV7kWPWldXroMxz1UCZd+amuyqnuoYeF4yNMLty8x23bijFAzgt0R0GxFdkG6bx8yPp583AjALZDYsah4wtrFyww4ct2BkY9eWzO3F6qDEBTSBCU3i1KKvvgmpCVVJ6ysnGHm73JVYPik2o8gk7RzXnhLgrrlhXTUnbyfPz6M0sm5vmZ1lv8m+h3Luzdgkt6ljV7hGje+DpJ1NTnSS67sOPvJXdO27xaF9qqJ6L3rGQFPUXPepL/HHp6SqMaMK6Y9L7ByleCYzn4LEVfoeInq2/JGTG2BIJzASq84EtB+bd+7D5p39IxYPZ7Bk3jQ8+sSekKEa0BATmsS5td2AZsmYRgIgtukZhD7SoR1HVet8E7XTTk7Kg1pfJeqVSgw0FdEhItZ4KkSyGQXPHU9JcoulQsrJmF4qRjmeQzJURVYh3G65EquWXxN9+V4MNBXTdUE2+2Lgqo+ui1ju73UXK9fY5yotjIGiDmqqd6YYasXuRgmYeX36dzOAK5CsA73JuEnTv5vT3RsVNTd9DnvVmYD2Y+WGHQCA40c4i3TpvF7EDDy4JbhUA/yY2CROUR58sUJuOQpAuouKQeE+VUkjOW7/NUWR0WKhXJenGjOmbHPVDx9h87kENULhI1NZuybiuuRkno+jQrgdcqIRbp+q6CNHfsKtjau7j4dw+1ySvrFTCXfjmEaNVKm140qURlXh9IynHkunKI2F/ysYlSCiqUQ0zXwG8HwAKwBcCeCt6W5vBfCz9POVAN6SZqk+DUCfcLsGjHGsXJ9kpo50KZAsQzXExQU0QEfrxHUajcoeFBQnH9HzZHT6itN6J0Cf4qQkZRQm3CbPr+4hHepKFiXHa+TaM6sOZCTHF6eXnQOyZcwyRU1RnIZik02AdaXKp4IlfTnxi8pSXs1cB9VOjfyVJET4FFL9eEUC3EzMn6qe1cvJmKsKSlKsxfwVXwxGKYtLYt2uSDOQqwB+wMy/JqJbAVxGRG8H8AiA16X7XwXgxQDWANgD4Pz2mxzQKqzcsAOHzpqCaZO6RrTfxbNChmpAc5jQJK5R3FPZRNuQVDl9aXFW3gnXVZMaxBMVEiI8CpDal5mo1XIQmhvNJjXNlFnR7NLalZGa7oi85S6GQki1rGS3b3vsoNqkjQEz51m0TShxarKFus22U7+nyq9VIUZNSwpRzs9X1Nj3cuJz0WvuaTc7fLSWGGHmhwCcqGzfBuAsZTsDeE8bTAvoAFZs6MMJC2aOeL/d1QiHhQzVgCYQ3KkpNNdlKRlrllSVTIRWX5r64Zk4NeWvULaiyZUXylxlPnJkbfMEy6tj5RKRJtxxWv/NkFS3jpvcpsUv+giplqBQcDdmYw7RzjPmHqLnIz5ZrKBHwdNi/lyXqe8+0M7ZlxHss92rcGvZt0rMXkDAaETf3kE89sTelq2qsGRebyj4G9AQE5rEyXmiGSXOJUvaPkBRNfH2LWxw45YGVWVF68vtUyFenoSInLzZ28tsz+P59ONqfSe268TAp9bJfn2JFMWxTlQxPVatGL9YUJw842ttc1TMRudSlqDgU89kX16Cr5QPKTsvnysTKLpPtXg7/4sB7HaNlMYSxTAgYLTiXpPUsGBGS/pfMjdkqAY0xoQmcY0nap2MqQRD9OWSIVWpyvYRsWYliQJqKQafoqYlDKhJBM2fn9xmTtVXXNhVmqz9nbgnbXmpZspkqGqZ085SjhRyWxgzlajb7mrNhuxaKedil1Apa+8nwGU1BxtfYz1BQd1HWTbN555uphxLM2qdds5y/4CA0Yh8ua3WKHFL500DM7Bmc3CpBpRjYpM4bZL0qCYZ8dImak9fmnoWK4TCJTC6TQoxKCEgKqHQ3KIlxy07v1L3pmjHChlyExq0+Cyf69m0z0ikpn46Y6VeK/U65H+ZWVWcvKTKc61UNdLTLnZUPnl+PhVTJ8B2X3rdtuLxykIIGt2LzdxTqkpbUuolIGC0YuWGHTho+iTM7u1pSf9L5/UCCGuoBvgxoUmcL8hffvaV0mgmrksjbM24bzVXm8+lWygZ0kAxbEY1qSsKU51ZJzQelU9+dm3RExtQ2s57rRy7fG5ZeX7utVFJeQPyBzhj3lQpjfJx8pcYKS+zot5nJQqg1Zd1zkjPR1fyyvsqOb8G90uhNEyIiQsY5Vixvq9lKhwALM7WUA1KXEA5vNmpRPSqJvrYx8xXjZA9bUVDJc4pj+DWb0v2T9trbi03nqiR6ysjN7ZNjRakLypxzZ1fGZHQ2tnLWLGuEjUgFK6q14xbzfQr49s0kqovY8ZekiyPUySpud3+0jJ2X75sY6tduk1TFTXFsIxMNSLcZQWWm3ZvmnuxZHyLNrhkDIW+fdna7YiJG+/PtYDWY+9AHQ9u2YUXPaV1y+B2VZIM1bD8VoAPjUqMfBNJ0Ury7PNsJLWQxhyGqra4bj17n3wbO9tcUib7UmPNfCqNEtRfpgo1is8yrkN3otbGxSWp+sSdj0HeV7FY71AzJeM4H8MyO8tI1VCvsfncDLEstHPcsENRTXWCL855KNfY80KhjoF2/dzjqeNUXly4qdg9z73Y4pi4cf1cC2g97tu4AzG3Lh7OYOm8aViRxt4FBGhoROJ+xcxv8+1ARN8bQXvaisb11xpPgDrRsvvXq9YXJ+EylUVT+TSXoJcYKIphLY7tkhi+8yuQquZsGioRUVWhMreoogZKAacW62TTt66q2k4dF/ucTB++OC/5ubhma263Oi4lBaQt16nmRnfOWVsf11uvzzmOOgbOPSW3+RRDV/XW7sUWYVw/1wJaD7PcVqtJ3JJ5vbhqxePYO1DH5O5KS48VMDbhjYlj5r9s1EEz+4xW6BNL8XeZ2OCWrXBjlGQ7n6JmuvDFrWmuNjVmzJnY1aSCJmLG8mxY0XeJeqXb5Cdaxi3qqi2NlL845hLFCd52hdg2p8aa3ZdoV9fdsI2yhJl1Atww8zTWFTwf6XdfEGSfTWW1KnZq4+Ier9msXV/co5pAU3JPtQLj/bkW0HqsXN+HmVO6sGDm5JYex2SohjVUA8qw34kNRHTQSBrSCWiB8b7SFsnvZTFHxX7diV6dyDzEQCNQ2lqbZdmseoyTq36UT/jyOC4RsZWcotKouzxtt6hvuSfXdpvo2cco68t1izZ7jV3lz6eouQkY1ioEmspX0pdGNr0xY5qC51EMiwpeuZtb9tHUig2Fe4OzFxCveu30ZSuy4sTaiPHwXAtoPVZu2IHjDp6OdPm1lsFkqIbltwLKMJzs1ItGzIoOodHC8qXEwKOQWH1lpEFR8Er61mxp5P4rVf4aKHHlsW3FxA2XrGi1zxoRwnrMunJk7aMngTR2YesEreHYKYSwcI0Voq6PVUkihUb+nL70pJDy68esKXj6uchtvkxpn+u5mcQY89lHIu120oZYJbIdwJh/rgW0FoP1GKs27sTxB89o+bEOnTUVXZWQoRpQjv0mccz8kpE0pBNo5BIsc081iu8pm9zUiVohPm6mZUMC45I+RwWx+7LPX3fjobBNjoFLSNWYP9NX3e7fWghdK8GhEZhYL2mixX4VYttUN6yyje12TZefcZI5NNVNJVVOX1LBU23SlvViZ1x85L1EWbO2+V5ESsZJ29bo5UFTRGt1tzZfZ1jceHiuBbQWqzftwkA9btlyWxIhQzWgERolNgAAiOgQbTszPzqy5rQXqjs1ZhAlSkdZ6YX9mqRiLkz48m+yf34M7bvpx22XxcA5+5fF90WU7FtzlapmFTyR2EBU0q5s7DwKHlH5sls+lUiOi+9aaXF6alJG3SWpKQFSVjRwlb5GSlyZuts4UURvp42Lj9wyN3s8/Ry0a9zUGDRhp3a+rcR4fa4FtBZmpYZWLbflYsm8abhnXchQDdDRFIkD8EsAjCQlfxKAwwCsAnBci+xqC8xEUYnImmy6KhEGarEgdkBXhTCYxpA1duPlv3VX875Mu2pEXpWtEEuX7tNdiSxyZOzOF0V3VgPQ3KLp+fXXYks5iqjsXPQJ12zvqkQF5TAhdrDOxfzuUyy7K5FYSD4n03FcovKVEApzrRJigIJNmtLoJpjE4lqpy4Nxvq+0QVcV83usnmWH2mS2bFzMGEjl1vTlKo1lySSFvtzr7qmD55bVKcskzvp2CLDmMtfU3bJM4hZjXD7XAlqLlRt2YEp3BYfNmtqW4y2dOw1X3RMyVAN0NOVOZeanMPMJ6d8lAE4HcONwD05ELySiVUS0hog+rPz+ASK6l4juJqKriejQ4R5TwiZV+bbuSjIsUoXoSrfFsZ5U4KpXJgtT9mXadVUi1Q1bllhg9u2quGSTrD7ciVatXeecXzYGlUhV/hplEvZUooLy11WJ9HNhf4xaVyWytmVjzrpbtIxQdCnn1yUIcMPaamLMu6v2terO7gNdhSojQtmYi/vMXL/C+SnXSiqw2XWvy3uKSt2p5l6U45m9GFQjSx2UNhkbrL9mXJxrJe0092ElIjUGMLZeKCgfO2lTC4v9GrTquRYwvrFyQx+OnT8dUdTapAaDpfN6wxqqAaXYr5g4Zr4dwFOHc2AiqgD4MoAXATgWwBuJ6FhntzsALGPmEwD8GMB/D+eYLsykJxUua5J01DmgOFGrJCfOy2jIvky7aoVU8ueSMXO8bKKuRtbx5KRs9rXsLnGZdVXFZC4m5aEEr5t9u6pFctRtETvZrkhQTTuiZNKX5VwsstlIibNUU0H+pMpnVLe6bZNs77brctRPSTrkX9VOpV1Wr825p8qSEVzSaJFUtkmq6i4WGcHaeLqEuxo5LzDO3+z/TNVWTbvFmBtF2LoPlHvRfjmyr5U8h3ZhJJ5rAeMbccy4N81MbReWzJsGIGSoBuhoNibuA+JrBOAUABuGeezTAaxh5ofSY1wK4BwA95odmPkasf9NAEa0dlM2kVWFquAqFmKyM23KyiWYWDNJ9LqrxXY2ySnaI91TyaQoJmqNWLoTLSfKm7HdiluTRESQqq4KYc+AVpQY2VhIm3ISQNgz4CpqpBItmzyQpQBViBzlxiZMsabkWC5PoQpVhSokzk+N0xPHy9yUddkuKhLggbpKUqXbU7roY2GT7Ku7u4I9A3XEMVvu3EwR5eTeRH9yHOakdEdPNcLOwnjqxNkiR2lf0nXpEu6uCmHvYInCbCmb9rWy+hb77B0095Rezy65h+vWuXRXI+wZqKHVaNFzLWAcY+223dg9UMdxbchMNTh01pQkQ3VzIHEBRTSrxE0T/3qQxJKcM8xjLwDwmPi+Lt1WhrcD+JX2AxFdQETLiWj5li1bmjZAm+DzicUmOd3CzWTmo2pEwjUES1WQJABwFLWKrahVUlnecAvLlWjZEImSGLnKJ8mm6Stm200p45BykhOrNpnjJaStSBqlOy5RqnK7gdQ1K4iBKaXkKmOSVEURISKCG7tnbJZj4MZUdTmKj6Y4VZ12ESXxYJryZ9tpuymlTWZbNSqqrV0VO+6xQLhZV+KK96JwuTovFAXF0CiN0ia2iazp17p+4l7sFiqtccNWRF+aQhm7977lirZfViKylTj5kmPaJWOAdmC/n2tEVCGiO4joF+n3w4jo5jQ05EdE1J1u70m/r0l/X9yaUwloB7KVGha0T4nrqkQ4fHYvVocyIwEKmlLimPnjrTbEByL6SwDLADxH+52ZvwHgGwCwbNmypv0wMoaroCrAniSrirvIbhej2yQMCALVrZCxqhLbZpQ66eIdqMX2tqrr2ivGjJm+5DbXrVVGAlyXWWFcjE2xHhuVuUWJLGLQlbUTx0sTPszxKkQpKbbbmWNbKl+ckxUzLtZ4dhfJrRXDJYizq/ztHbRVU1ullbFt9v1SG6g7hMm2SZIVo6ipsYmRfi/aCldxXLortvKXJJzUnbGTIQHIxk4u6SVfYIwIl92fjlpmxSFWBZG1CKKtCrv3mRxPzTXcSgzzufY+APcBMLP5fwH4LDNfSkRfQ/LS+dX075PMfCQRvSHd7/XDOG5AB7FiQx+6KoQlc6e19bhL5vXirnXb23rMgLGB4azYcMEwj70ewCLxfWG6zT3O2QA+CuDlzNw/zGNasIPe821ZkHa9qGLIeDCLPBjXF4oTmenXisErUWnqyvE0AlOXE6DIbpR9WepOpvLBbifOxUy4GvmLLTdsuRsvc4tKRS0SpEolOYnaU4lsF6t0QVoxeAUlznXD6uOZLyvGiChR/uKy44lrJeu9ZUqnQjal67Knao9dmVqXtLNd0Wr8m6NUZdvkuIjCzFrShIyv09yirqLm3lMsX06qtvJXpjgnNthqst3Of0+1G80814hoIYCXALgw/U4AnockbhcALgHwivTzOel3pL+fRa0u8x/QMty7YQeOOmha9qxoF5bOm4bHntjbljCDgLGF4dyJw30Q3QpgSeqG6AbwBgBXWgcgOhnA15EQuM3DPF4BNsnJJ+pqRXcfJb9LBY+sdUo196ZRKOxkBzHh1ll145W5ZqXqVRYUnvVlkVRbpcn6dgmFZ6KWamROHvLzy9yikUy2gJVIYblTxblEBKudJI2xQ1KlqliJbDLmnl8p2TTtHKVRayfPxZBNlTS6yqbYpxpFICpeF9POejEos8lpFwtFzY3dy9Tk2FZyzbW03OiZshlbcYjuPWXZWaKo2WOnELRquULpvjCZ/1ttRjPPtc8B+AcAxuk7C8B2ZjYzrAwNycJG0t/70v0DxhiYGSvW9+G4+TPafmyz/FbIUA1wMZwVG74+nAOnD7T3AvgNErfEZcy8koj+jYhenu72aQC9AC4nojuJ6MqS7vYLfmJQjO8xv5dN1Lr7T9lWFSTAiQtqFPckJ0CLbHpcbZadUlET7WRWoqb8WRO1QjaNAlMhQoWkYhhbyl9ZaYtK5LbLMyULWaZSwcuUP3F+moLnulNdxZBLEiKqNlmJUnexXXakSFbceLBInF8WU2ldK4hrLPpW7rueEhdrrN2LDCsxRrVTkNTuaiXfp9E9Ja6VtMk9XvH6Idvuu/c7ocY1eq4R0UsBbGbm20byuPsb1xvQPjzetw9P7hnE8W2MhzPIM1QDiQuw0WyxXxDRS5AUwZxktjHzvw3n4Mx8FYCrnG3/Ij6fPZz+G0FOUnsH68m2OHG1GbVFZkCa322XYN5XWekHs01zJUrlz3I7VYt9mcLBxo5JXfmEW1T+oBIKO3HDVkgSG9yJWp5fMe6p2yEilYgQOfXBulSyQmDO3bfFdjYZs9yN6dweMyOK3HpkjJ6KIDnmeFU72aKSui2lAmsreEjPz1brKhFZCR+xVBpj+54arNUyOyvCTjdZJlnGLM6ulXTVmuPZ7nFFZRNu2Fqsq60y1lPeizVRgFgm8NQL95R9L9qu9kqhby22tKtKKtksezFo+gG1n9iP59ozALyciF6ctpkO4PMAZhJRNX05laEhJmxkHRFVAcwAsM3tdH/jegPahxXrk1UTjm1jZqrBoQdOQXclCstvBRTQlBKXBuq+HsDfIHE3vBbAoS20qy2QrkTjubFcbQ2VMT2TkBm5gtfQRdfAvSmKC7suSFUZU9SraiTOj+3EjViQlWybmODz7FSHBDjEwJBbo1TJcZHtZFJI1s4QZ3LrxBXJg6s4uUqclWEpFScnbk5V8MqC7MU+kdMucUEWxyVJLFCOV9fJiloo2VE2tRcDTW214hetc1EUw4pb7FeLqdSzaIeiQmf3VCTJn9xHqLQidKGV2J/nGjP/EzMvZObFSEJA/sDMbwZwDYDXpLu9FcDP0s9Xpt+R/v4H7pCfOGB4WLlhByICjpnf3qQGIFHtD58zFauDOzXAQbPu1DOY+S1Isqw+DuDpAJa2zqz2QJ2oUxJnJmq3VEghOF8hY/aEq0+mWiyWFoNnT/BOVmu1OCk3Uv4KE67qMhPHU5QqNZEitV2OXT4uQsUscU8X2nkIReFakduuTDXNSU6kxLbZrr242E4eLxsXnVTJeMLseGk7uY92HaRNkVAoc7W1zL0J/Rpnx1NcpQVFrWiT/SKC7HhWAoZqkx7TKO/9nqxdnL90OAWVW4iRfK79I4APENEaJDFvF6XbLwIwK93+AQCFlWkCxgZWbujD4XN6MaW71fqwjiXzpoWCvwEFNHs37k3/7iGig5G4A+a3xqT2Ic4mDTeTMMomXC071WQrdlcjDPTXsu1WjFNdUSOUCbds4qzKiZM1O0uy/6rKhCvinqRiqJG/ZMLNXXuSjE0SLjOXpBo7E/efzIZl9HRr7WwXZJYtqimUljvOUapSkiPrmmnt3Np1FSLE4h4okjioY5AdT2yTimGuJgm1rp4cz7TTxly6RfcO2PeiKb2SlVRxxi4bF3EP94j7wFVb65zfn667uMytnrVTyuu4blj3xcd6gSlxp5a9MLUYw3quMfO1AK5NPz+EpIC5u88+JApfwBjHyg07cPphB3bs+Evn9uLnd23A7v4apvZ0hkgGjD40q8T9gohmIkk0uB3AWgA/aJFNbYMhGlrck2/CVbM+OSkjUchAVIiBlRFYt5dkUt2bsXBTavFEivphZxI6pEMoMuqEq7j2rIla2Km6RSPodgpikAfCx5nCVRWrOBSUP4UcGVKVJQyk1zMfc9hjkBFLqMqfts6tmy0q4yXd86tLoqWQP9NOH3NdiTPnJ1dZkGNX5i72xmdKlc3NFpWreZQohlk5mLq8p4qJDVa8ZD3fpo4558uhyfu6xRiXz7WAkce2Xf14vG8fju9APJyBSW4IGaoBEs0W+/339OP/pRXKJzFzX+vMag9sV5SZkGC52mKhZiW/l8cFVYSalE24JS5WGb+kJTG4E67ubiwuS1UWm7QvS9xAVrfNdu0pxVpF/JJbC6yQ2CDdolRGjlBUW+JkzE0coiQ+mU3O+cWcF5DNY9QE6WgiZiyKAMR2kkRZbbVYqKa5nTKmsuR4gpB2V6OsnTrmop2s9xaJFwpXFXZjEy2lsWTlDjPmZt9KFOXktkz9tNyiyOL0coJfkmwhVT3Wzk+6YeNsnx5BGluJ8fpcCxh5ZCs1tHHNVBemzMgDm3bixEUzO2ZHwOiCV4kjolPcbczcLx902j5jBWYSqlbyiSwpk4F8wnXJSqxPSHGc1Dkz5SfUWLrYLPdkF5nNS2kUiUEsyEriNsxt98W2sZi8qxWxXBfriRTGBpZ2Rnlwuav8FTMlhVs0clZskNmNmmJolEbhFmXObdJrpAmlKiLU41hxfcdWuQvXnWrVs3OVvzKiHqVKY1xUW2MnOF/GS1aifEWKAqlylFsrBo9EVqtLGuUqIFFRwcvK5AjVDUgVPGGTSTYpXGNFMbQyguNGY1dUNqtOnKVF8LPSK62NiRvvz7WAkUdO4jqnxB1iMlSDEhcg0EiJ+zYRnQl/AcyLAJw8Uga1E3Kidt2p2UTtqhFS/ahIpSrGlGo1IwZ5DJe92HyhWKxRW9IJt1hjS7rVoE6cZQVW82xRO/bLtUkez6hs1ShKXWZxdt56aRKbjOmJBpqKafcl26kkx8lqNcTHkMa6IK3d0p0qtrkkBynhyGLpyurLOYS7kKBgFchFOi6S4OeKoaxBp9XmK2TRRrnSKGvXZdc4TpY6q0aKm7mE/MWpnZlyLOwsUxXzdnmmra3gNahZaKmYRbW1LF6yRRjXz7WAkceKDX1YeMBkzJjS1TEbsgzVkNwQINCIxM0AcBv8D7sxW5lSqmyZ+pESA6NsSLUOsAlT1Vrk3C7oWqZGuAH8ZWqL695MJs6STEKrXb6tFhfdsCZYvtjOdu1FUapGCkKRT7hy7NL4unp+vMiTZVpz7YwlGbNjDm2boNpZrVBGUoskwN7GbGqyJXYyDGFL+s5d33GRwKTH66kW4yXV1REUJc4l+JLAaGVdzL2Y3FNxPgYOkZVJE9k9pZTJ6XFiBRNFTbwYcL48mPoCk90bhpDm9eVyt3YsMpBlzbk8DrE0scH9P9MiJQ7j/LkWMPK4d8OOjsbDGSydNw23PfJkp80IGEXwkri0FtK4hZw03HiiyFHi7IW6kbdzyJhxJRZqXgnyINWPujPhFlxYhvyl6qCtCvninjykUXG12dmpIr5PIY1WPTSpxHGuqGUuOmY1NqrHiTE0E/xgPScBenyWrgpJEmAtE+WqZYI0GvJnbJUKnkt8ktURjGpK1rnIlSVkUL9R+eoxBBkrH3OzTcYhVivFmD9DqkwxY/PyIJUxOS5FhdIZu4xU2fGgOZmuFK6xdQ+zVFIVdTdOlFR3NQ+p/MnEDZlA0wqM9+dawMhi575BPLx1N1518oLGO7cYS+f14sqQoRog4I2JG+8wyoatqOk1vezgbqUER4n6UXApUZGMSbWsLF5KW7MzUzbiImm0Eg0i+/xsVxtsO9lWW8qyMNVYQc3VFnOWSKHH0hVdbUUSUIwxzNzFnrFTtzmkMSF/KNhUFtOYq6ZKYoMcl4y4GuKMrN5bYRksh6RKkpMplPLFwCojE6OavnQUyBjZZMwtLRNFNlE3fWVkLNbbafewtFN1fcvVPBzlLypTUlunxAUENI37Hk/cl8cv6LwSZzJUQ1xcgMHEJnEy7slS1JLJpqZM5pL4aG5YXxmJXFGz1041KoatqEmVDbmilh1PqDuCBFQl2eRcUcuJgd2X6va1SBWy7Y3jpRLyYJaJMuOZtysqhhmhIMriujTiVVQaIQiFS1YkAUY6LnYCRka4lXYquY1zUpyRjkzhKsZLqtnFVO6GlX1ZilqUuPZrJdfKjm3LyZh0sWpuyjjrm+CuYZuRxsKqI/LlIbLKwdgxjbDOL3PfKmVyokiELmT3cH5+AQGdxsoNSb5LJzNTDZbMzTNUAwKAIaydOh5hZ4sm28om3DKVRipOkvjkAe7FYrgWGUsJjKkvV+ZOrUTFNUIrEZJ2JSpGHCdrhMqs1sQGZJO3rKNm2km1xUqIkMuKlShjxk6p/HVV9bEzv2du2IJbVC+ia9oZ0mhIauyMea2u9MU5aaxEtita1jrLkwhsd7FcdktTDLP7xSF2VmKDRhCFsmmptFSuVOXZouUqrU6A82tsxdKx7fbVya1I/NHUXfl/JnLuqaio0posYXsM8nYBAZ3GivU7MGdaD+ZOn9R45xbj0FlT0V2NQq24gAxeEtcozZ6Zbx9Zc9qLfPLJVTmjVGWEwnFhyUlKdcNGefA8UFwg3vTdcALUgtedzL6GrkTjvnWyWs3kXY9z115VHs+acAUZc84lOZ7iaiurE2epmMV2pcqYVzHMSaPr4i1T2QxpNNdJI43u9cuIjyGNrJAx6fLUlDiTEKEQUqlCSVVYXmM35q9gkyBjmWLI+b0t669l5I+KLwZRg3sqcq5x2f+ZohoZZS8dJiPYnwyElmC8P9cCRhYrN/SNChUOSP5fHzGnNyhxARkaKXH/m/6dBGAZgLuQZHSdAGA5krUGxywyhcQhHZU0MzMWpKPqqApAMX5JEq3SmKoINhnLVK8SN2xsu2Fj53iuO1UmDGRKVUpyTNtIEDRfyQ8SE3wci/pdCrk1KmK21qckccoaod1WmQxYtcdct5pMGDCqXp5lGmVuWFlORJ6LbBfHybJpyfkPjTRK4iwTIrRSL4ZoGTeo5fZVlTFk2zL1U5J3q51dziN7MbDuYZEs45DNgk3Ki4GdRevew4k71RyvZmLp3POTCS11W002apx8oXBLqLRQiRvXz7WAkcO+wTpWb96Fs46Z22lTMiyd14vla5/stBkBowTemDhmfi4zPxfA4wBOYeZlzHwqkvpJ69thYCuRxwAZN6GTRFCijMWc1ObSFLXihCuzG6XilNhgCFoeo4a0XdENq8XSlcU9mW0yXsq0lWqZSwxk0V7jUjbH6zJKio/8mXYs1zKVCldcbCfORQvEV4+XuX1zUlwgXiV2xszqGLiE1Fxj2ZdFuAuxX8USKlmWcFQk+FV5LuKc85ixhHBXK7Z701o2LdZd7T63r5toYGdYl98bSV+mVEhyT0tFzZdhXS8Zc+Paj5kLy26ZfUYa4/25FjByeGDTTtRjHhXlRQyWzpuG9dv3Yle6bnfAxEaziQ1HMfM95gszrwBwTGtMah8kqQKE6mXUARn7JYK0azGLLL6iS8lymTmFWd1SIVlfpaRRxkYlsXtmRYPcNZu7zKoiISKrE+cQS6nOFey01BaHGEjXl+Y2jB33XzoHyxUp3KB3K0atJPDfXTtVHs8i3C5Zsey0lxqTmZIq4RaELTueJOryeFHRLeoWT86zdqVal18rq7YbpytnGHexG/NX5oq2ytZAuH2LZMzUibMSGzjNFjUqbYmaHFGeaSsVNXMdDBlzFTxtCbG85pwen9lijMvnWsDIYcX6HQA6u1KDC5PcEIr+BgDNJzbcTUQXAvhe+v3NAO5ujUntg3RTAmLCjUQB2bhIAiTRMxOudCmZSRmw1SRXcTLbIzF5q2oSC/LHUsVI4p405U9O1AlZySdFmUmoZ1Pma5la62yKc87rxNnHq0YRooisZb/cJbY0OyVp1OrEFZXGXDHMCEWBrAjbI9kuJQ8x2YvIuwWI03HK7HRiGl23oVFy5TajrmqxbZJs1hzSaJH3MsJtSFzFjussxOApSqMkf+ZacaaoFWvXZWMnXgxk31INLBJuYRPZZVaqqgrdtuzUcflcCxg5rNzQh2mTqlh04OROm5IhKzOyaRdOPuSADlsT0Gk0S+LOB/DXAN6Xfv8TgK+2xKI2QiorQD5JeV1RUgEiOeGK8hqW2mJnLlaE4pRszzP0tIlaZhKaFRvqgoy5pUIKxYWzLEwx4WbnJxUu2S7OEz6s4yENltfJbT1OVzRwxqASRYUMy7L6cvV6kzFqKWnrrkY5oXDbSVIewWpXISCOCP01pTBzLFzRkX1vZGOg1q4T5DbKC/JKRc2sW+qenyHcUvnLXjJKCLdMenGL6OblbmAVIAaSrF0Z/wYAgymDsuIsHbd2Pp5pHCIXFbWyFwN7NY+coFmlZRTlr8UYl8+1gJHDig07cNzB00HkW9yjvTjkwCnoqUZYvTkocQFNkjhm3gfgs+m/cYM8WzT5LgO3XVeUrF2Vu2FFOzFRa3FBccyO6iZInDJR225DWKqQcVdZZLNETZL10IzClbi1HIWrpJq/JGy2OxXO+QmFy3E3WiqNZqckK5aqaMdiFezkvNaZ5S7OxiVZqkq6zCUJT9zlQnGqSkKKAvkri3vsLpCcnPy549lfKyp4eXyfsNNxw+p14nI3d042OXeLOqtySJd5vZ678YGcxEmXZz0d9B73hSJVd1kQRCveje3/M9n/K/FCkSukIrGhcC+ipRivz7WAkUGtHuP+x3fg3Kcd2mlTLOQZqqHMSEDjEiP3ACh9HWbmE0bcojZCZosC9iRcrRD6B+PCRO3G9wCKmiRdQ9pEHcm4J1guQXO8qqOMVQWhyFQTGfekqFAWIZWkivI4q4wYRII8ZKoiFRQ8d8KtusczS4/FNqkqDXo3BJhylUa6fQuJFJFzHUy7ek5Sc1KMgsKVZdESISK2Yr+qogRGsk/uhpXxkpWIMFDT11eVcYja/SLjLN2SJpG4xpl6VRHHK7hT43zsJPmLc5XNzabOjpeNQdJuoGbuqfLiydZ9nrYbFO3cLOiC2qoSfCWrVVyrVmC8P9cCRgYPbd2N/lqM4xaMjvIiEkvn9eKWh5/otBkBowCNlLiXtsWKDsFNbDDlGMzkppEjGdtWcQmFjG1zXVGKomZUIKngqZmEDIs0DhjVRCZSiCXEgLwEh72PM3GWKGpuQL074dplOYoKl1HUYu14sdtOqJGa29dNInDKjlTF8Sy3r+jLTV4xa5LWY7tWnrG95pyLdt3LVEWjOFUtFTGv16fGfmVKLlkvFMVs2OI9JeP0TDt5zsZVK+2sxTnBN6VzBuvFMdeSNGQZmcK96LwYdCuFkt1sav+asi1zp+73c42IJiFxu/YgeX7+mJk/RkSHAbgUwCwAtwE4l5kHiKgHwHcAnApgG4DXM/PaYdof0AasWN8HAKMqM9Vgybxp+OmdG7Bz3yCmTerqtDkBHYQ3O5WZHzH/0k1L0s+bAYz514BCYkPmokOBHNkurHzysdpR0U0pY83y4rTI28VJjJEhR2XB+UY9A8SEm5GqYmxbPSNjxRp0avySohi6+2SKmuVKdOK6hKImg9cLrlKZDeu6YePcTqNaFtoJ9UqLs5J9We5GV8FzFUOhQkl3aq2ek2K3ZItaukPeGzGXEFlbwauKduwuDybIZl48GVlsmxvXKd3oheMpbt+CO1USdSU+05C/goKnvhgUCX5BiYv1e6MVGOZzrR/A85j5RAAnAXghET0NwH8B+CwzHwngSQBvT/d/O4An0+2fTfcLGANYuWEHJnVFOHxOb6dNKSDLUA0rN0x4eEmcARH9FYAfA/h6umkhgJ+2yKa2oRC/JAlMIbhbkpw4K8UAFLP21EB8MQFKQmFII5GeaJDZJOOXxMRJVJ71aU/mOcmxCsh6FDW3XbWSLytWWrdNKGqSNBLByljtyeyM03HJ3bCZO5XMqgNK4oYhqVQ8nhVnxfl1SY5nZ0rKWEGZdZkRPcdNKYvalmXaRm59Obbdm3mduGJpG9OuFsdZGZnCEmlODTrrxcA5nqWMueVgUnUQECROcbW7yStaQoQ8Hgv3tDmeTGzQk2yURIrWKXEA9u+5xgnMzNmV/mMAz0v7AoBLALwi/XxO+h3p72fRaIqSDyjFivV9OPqg6dm9PpqwNMtQDckNEx1NkTgA7wHwDAA7AICZVwMYdglrInohEa0iojVE9GHl9x4i+lH6+81EtHi4x5Rw43tcBchae1OugWqC3p3EBlXFKGQgOi662CYibkycKVshCcWg48KyVBpZRsLE2znlUuSqA2UTvJadmq03KraVleWQJECbqK0acLFoJyd4lRQ7hDtKF4ivx9bxqoIsmPG1zk+xKUvAsFy8RUUtXx/XIcAMax/teDVlzK12GYkrEtLCi4F5CaDi8cxLhl3rUJBGJyRAqruusqkVSs7vRSdeUhD1brl+rKUqwrrGeeJNUb1uMfbruUZEFSK6E4ly9zsADwLYzsym+uo6AAvSzwsAPJb2XwPQh8Tl6vZ5AREtJ6LlW7ZsGc45BYwA4phx74YdOH4UxsMBwCKToRqSGyY8miVx/cw8YL4QURWewOBmQEQVAF8G8CIAxwJ4IxEd6+zWUldEni2afK85cUEWqYryiUXWXwOKCp41IVWLhM1MgGaitspIKGpE7BCKgXrRhaXFS+WlQmx3qhZn5a4ekNfBUxIGZLvIsZOKCRFRVDyeuoJCxR4DuYRXzM4KCnHuhjWKYewcz6hXlrvRuFMVV62V1SrGwIxLrnDZRLbopozscZF2WtfYbidd9JabssQtKt3FWXymOZ4Sg6eVdcli22oyzhLq8YySWq3kMX+5nciPx+7/GfHCFKFA1LMVKbK4zlxtbTH267nGzHVmPgmJcnc6gKOHawgzfyNdOWLZnDlzhttdwDDx2JN7sLO/NqqK/EpUIsKRc3vxQHCnTng0S+L+SEQfATCZiP4CwOUAfj7MY58OYA0zP5Q+SC9F4nqQaKkrojCRKa4hX4aelRAhJmqtXU1MuO7EKQu6ZtXu3ZImVvyS7RbVlD+XNDI76k5GGpG2k8kddkyVWSPULTwrbXID/4tuUT3GMLPTUt2QtZMZlua7fX4oKIYyjsxtl42nITnSvZnGJsrM3qpDjqRNblHieszWGqHutXLJtOtOlTF4g07yiiS3bhyiPL9BheBrIQFmvdpqpLwYlCQaSDdsltWq2akRdbM+LilEnShblg4Apk+q4vTDDsSMKS0P2B7Wc42ZtwO4BslaqzNTEggk5M4s37UewCIgI4kzkCQ4BIxirNywA8DoTGowWDpvWnCnBjRN4j4MYAuAewC8E8BVAP55mMfO3AwppAuisE8rXBFutqicAGUZEKC48oJUP7IJkNLEBhEzZsUvCfIgj6cpcYUlixSVRot7slc5yCdzQNSXiwQ5UiZ4GTNmJmDTTpIx1xUtMyXrLKryV/xxT1YMl6Xg2Rmylis6c29GhfIsdv28/Hpm5xfbhDsfF7MOa5I0YMfSGQKTr9VqyG13tUgQ3YQBK9vXVcZS17dMbMjdm7DOBbDdotmLQdquX5b8KKjCdomRinU8hahnS6SJsSu4YRXS6LTTSL9VXy4icZ8Dh8/pxWXvfDpOW3wgWowhP9eIaA4RzUw/TwbwFwDuQ0LmXpPu9lYAP0s/X5l+R/r7H9g8VAJGLVas70M1Iiw9aPQlNRgsmdeLx/v2Yce+wU6bEtBBNFvsNwbwzfTfqAMzfwPANwBg2bJlTT8g82xRkzAg3amwJ06nKr9VK6tuk5XBerGGmIkx6qlS4XhZ/JLmUuI8EL+qEINC3JOz1FF3ulqC1Y7sMhKGmCTtROyXcTe6MWNcrL+WkbG0L0lkrZItsRP4n7n/kCmGMrZN1h4zrlpAxsSlC6hL5S/Kj8eck0HAkL8kMWVQUQyNqzQbF4d0WK7h7HiRVc9OezGQRXQLKy+kNqkJA4IUS6UxO146dhXXTjIKl6x16MQhKgqeVqzZttPOzHZJ3GA9r2dXTGyIFHexIKnpfd4u7OdzbT6AS9JwkAjAZcz8CyK6F8ClRPQJAHcAuCjd/yIA3yWiNUgyX98wYicQ0DKs3LADS+ZNQ0+10mlTSrFkbr781qmHHtBhawI6hUbFfi9j5teVFcccZlHMzM2QQrog3H3WtcIVYUpiGAftgDPhWhOZu+5kVFRbrBIcxk0Z5WpLzAAJYiBdWBGZVQ+0mDhYhMKuzZWWqKhrE67tvrXJX348qaxYrksTu2edn11qInLbRSLuSZAO42JNSmlExYQBSShiQQyEeiVXGLBsT91xWewe5ceTLlDreKZvNz4riuw6cYraqrp9ySYi6WW3XOYmy9S9p6wl2dR7IyHFRsCxaqvFjK6uSCFVSVu5rFglu6fiQmJDvgoI8ns/7atYQDonjTKWLiL7xcAi6nGegZzYaZ9LLY4zxbnVGM5zjZnvBnCysv0hJCEi7vZ9AF47PIsD2glmxsoNfTjzqGHn7rUUS+clKuGazTsDiZvAaKTEvT/924qiv7cCWJIWyVyP5A31Tc4+xhVxI1rginDViFo2UaOQoGAnDNjxS1JVyILXhUvQEB+33IWrtgzW49L6cnJ5sEGlNpeZqHus+mt6fbmkbEWEPbVawVVrZYua81NdZu4C8XmiSKHeW6Ym5QqeW9TWUqHS86PMLQqhVMFuR0UXHVGuGDLb7sasLh2JLEwZnxXl7j8rI1i4sI2iJt2+0qVbScdXXuNc2RSu7ygnVdLF617jamSPp5tZK8cgvxejgqtdxuW5cZ39TiJFssZrMtaaG7bMnSozUVXiXNLOLEfWJiXu/enfcV3MPGD/sHlnP7buGsDxB4/OzFSDRQdMwaSuKCy/NcHRiMT9AsApAD7BzOeO5IGZuUZE7wXwGwAVAN9i5pVE9G8AljPzlWixK6JIqmzlyIo1E66hsniiMtdXYeJUJrLIIT5l9d6AosvMKqKrlgpRFDVBqqRyJGP3XNXExGzpE3WcnV8lIzCyna3g5YpasUyGXV7DiakicbwSUpxfP/u6JMcz5TwS0i2Juutmtl3Y4nqS606lrNRLgeA7ipMb1C9ds1pChLlWsjSJW6zZPp54ESm7F2NkiTiui96MVX+tWPLD2E6SNFovBjmxJDHmWWav4obNVG8TNtAGJQ4tfK4FjH2s3NAHADhuwehNagCS/ztHzu3FAyG5YUKjEYnrJqI3ATiDiF7l/sjMPxnOwZn5KiTBxHLbv4jPLXVFFEhVbCtAWsFao6TY8URu1qddtkJmSpbFS7nHc5dt8sVLyXU1XbevlkmYkA4nxklMuNLdCBRdZhmJK3NTOhmWmoJX1Y6nuCCl69IoiMnxciVVI8WmXdaPUPBK69llhEKqn3rgv7zGuTJWrBOnqaZWO3G/2PXXZLtiMePMFcw2cR6ouS8GdmyiVJgjy71pK4aGVAHSnVqMBy0eL49flNnbZSEIxs2cxSG2R4lr6XMtYGxjxfodIAKOmT+6lTgAWDp3Gm54MCQ7T2Q0InHvAvBmADMBvMz5jQGM6YedLHsA+N2UkhiUuUXNhMvMdvyS6MuKe6oVFSA3CJ0bTJyZkuNx+5p50c1OlckIbhamz/VlSBVJNywjW2Egm6ilC5Kk4iSyRY0NkSAiGbnN3ZQmFssohoYsVKPiElDSVSqPn1xzQTKi4pqyhlBk69U6BDhx1SorRJDr+nbiFzMVE1lZl8RON56wuRi83HY9w9qqZ2fapf3X6lyqYtr15dx7SqifhXvDzqItdaea+NOa/eJjYgXb5E4d18+1gOFh5YY+HDZrKnp7msr76yiOnNeLn9yxHn17BzFjclhDdSLCe5cy858B/JmIljPzRb59xyLqzOgSQfZu/TVt4tTcojLRoNDOcr/lxES2s7JTC+pHsTyDLD/h1l9z68tpCl5Wt01J0tBcl4WED0MsBakyblFJCC0iIghToTSJybBM529XUZMu14qwsxb7yCYEybKD7K0SKo670RCKbL1aj8pXK3G/qzalaqAhn8l4wiLvmoppyK3MojVZwXa2L5Tj2ecXEXKyGbtkszyUQK6uIcvIWHaK/x+FFwORYa2rybYq3GqM9+dawPCwYv0OnHzIzE6b0RSWphmqSXJDy0vyBIxCNFUnbrw+6I6ZPw3HHDS9mGUaGfcm7ImTjNunXMGLtIlTuotkXJCs92ZIlckyFctZxXGqAGmqSUYsU0Jo1YnLl18CbIUrm6gdRSbPhi0mGpjSKxqpst2iTlyXJB2KElfITq3ZRMSQqsi100laGBAk3CJHwrVXi5OyIxpZMeesxba511iuTGDHQsIhzvl9UIkii6hn90tGgDV3avJPxsRJ9202nplKaxNSWS6FiFCtRNZ1d1XT7MVAibPMSb8kjY6r1nKdJvvYsZB2wkdESSkSqba2C+P1uRaw/9i+ZwDrt+/F8aM8Hs4gX0M1JDdMVIx+vbiF+MQrngIA+PPqrQBkzFhOcmJl4qzFMaZUq9kkNeiQB3filIqIHjNmkypALvReXpU/V/6gkLE8ULyQuCFVEyeuLFeFiuUgLDdz7GR9aqSqZpTGKFMoa/Vi5iKQq3zyeCRJFSuKoUv+hMvTZIKavlU3pTkXLQmlQKqcBAWZEOEQpmpERcKdXnetKLEh3N1VoQrX7MQGtxRKQlLz5cEK5xcV7zvTn51F646dPS5E9tJqBZXWzaK17nOR2GBIuBIvGYnjtUOJCwgow73pSg3HjfLMVIOFB0zG5K5KyFCdwGjje+/oReRMLJZbVKgtxhXlxku5Cp46cSrB6wOOKyrmPAhdC/zX6stJV1SFhPrBRjEUJTicgq5W2RNJjjzxUhkJcNtpippDUmXpDjeOzSKbcZGIZK5T1w2rqklpTbZ6Tgyqzj7WtZIuc3KzU+04PUvBc8lfnKziYCXLKEkacYGMFcfcrgWYXysiu/RKHJcpavbxzD1XiYB6vUjCC4kbCkmWfbklVDKyWU/iQSUBNucnV6QYkPGZJNz/gcQFdBArTGbqKF5uS8JkqK7eHDJUJyqaInFE9EoimiG+zySiV7TMqjbDTJw1qbZEsNSWQlkHES9lxbZRulqBmJCS0gtxNnEWFw+3JzJLcRIKV05Eim68bAUFOXHGrhKnuWFzopC0yzMs3bIVZkUKLbatppAql4hIcqQR4Mg5vwKpEoSiJlTF4koWdukVX1kXZmSu6ErFLpMhXYJurJksTSLJrW9NUreenduXVERrdZuQyozZZLwE4S65xjJxw4xbMatViYmjXP1MsrJFZnbZuBjSyMXsbSszWyG3mRIn7GwHxvtzLWDoWLlhBw6eMQkHTu3utClNY8m8UGZkIqNZJe5jzNxnvqQLP3+sJRZ1AL7gdamo5cSnRKkyLrOC+iFqcxEEgXHcm0JRKxyPFNUkI43JPoWVEJzEhkLwej0nf1LBKyiGtSL5Y0HYiJCtI6oRCjPpJ6ss2JmLLnlIttXT8RQKnqM49UuVz1V3hBu2EL/okDHLBkko2I4LdNertWLUUmKurUk64KifxfslUQxrxg0b2feGIWPMCfnL7o2M3Nr13goL2QvCBiRE1cpqVVTo7MUgtUkeLyNo5B4PovSKfT01VW/QJakxZ/dGGzGun2sBQ8eK9X2jvj6ciyVzp2HTjn707Q1rqE5ENEvitP3GTTydmmUqVBMzGWVxT2yrJm4gvlG4MneqU7A2JwYJWcnUD6Gomf4M+atE2gRoE70odbUZ1STPIFUIjKNU2YkNJVmtDmk0822FyFq2ya335hKDhMiiYJNRKAuFdcWYF5NJIlVlK8YhKm485/plySvCzqLChUzBk0WJk/FU1iSVZWQqeV/m/KViqJU0sV4Wavm9ETnXPbuHlTIrsv5animd3hsOUc+vsXPvi+tnSGvxGsO6h6WanJe7KVeFY3FPtQnj+rkWMDTsGajhoa27x0w8nIFcfitg4qFZEreciD5DREek/z4D4LZWGtZOyEkSsCfOWp2ztVWzWKiYHVJVLPlhyiyY/qU6V0g0MKRDuCmBnPzFMWf1yQBZs4wyAlVwmcWcTcLFbFihmjhqXaY+aqoJ2eQoEhO8Ww9NtqtWZOmVxE6iJMawlp2LQihIKHhxmRtPZkqKdhbZ1IrMomCnTHZwlT/3Wrnbsgxkdu+NomI4WLfVXS15xVrKTfRl+qimSmqxdEceU5mTqpw0R6mKaI5XXB4Mtpos7ilNabQVtQi1emzdw7m731E2nQLZrtu3TRjXz7WAoeG+x3eAeezEwxmYDNWQ3DAx0SyJ+xsAAwB+lP7rB/CeVhnVbmgTrjVxGkVNuKc01cQE0NecCUmWHZHEwK2/FgtFBhAuLHbKZMhs2IgslU8ez5cRKJecqpAT91RQTfJSISZJI3ZIo6uCyXZFOxODqlFUSBiQdtqZvSUuSSIUylYIhdIE2WfuP0OOKlHJuKR18Fzlz1GOrHZG2YyT7FvpFnXVSHPdLVc7izhE5XgyCcTcG+ZedJMIBpTEBnlvZMWMY7N8lhkDOyPYTc6RIQHJC4X94mNsiDl/MTBjY+IsDZm3xxxWVmubExvG9XMtYGhYmWamHr9gbClxC2aaDNWgxE1ENOU6YObdAD7cYls6hmxicZbdAmz1oxLJ+LMSd2NkKxaAUDFcV5tCAuLCxOkpICsUPCsGT6gmakagczyZgFFTjmevEIHi+UVkuw1dAiMJRZzXAouiYl0zAFYRXTuxQSaTKLF0bsJHDCAqT1AoxPxl4xnnY1BRrrFLtOTKEh7yl7WryRcDk7xiyDwKx7Puxah4L2r3hlUkWNwbbvatdi/myhhEO5v0a0qcVPBcNbnoZi5mtbY7sWG8P9cChoYV6/tw4NRuHDR9UqdNGRKiiLBkXm+oFTdB4SVxRPQ5Zn4/Ef0cyXI0Fpj55S2zrI3Q4pdy9UOoClI10SZqQ1aEQpK1i/Mis/oEmLtAq3KizmKMfKVJHHdqlKsf0lVac9uJAHez3esykyqNRQycLFOlXZ64YQfnN1S4xPlVS+PfUNxGlGadRqWB+C4hNITXcjO7aiQVs3YrJMit64aNNTes/WJgxkVLbLDIpttOkiP1WqGgCrvKrZaEYsi8TGyoViLUxLJbJiauX5Jbh8gaO3I1UM/atRIw2kDiJspzLWBoWLlhB447eDqovWrwiODIub1ZvdOAiYVGStx307//02pDOgm1AKmY3AqqiQlC14r9iklZqh+5GoHCRC1dUcWsVi2zT6kzJt23lAeYl5XXcAPczXazooFGqgxBiwUhNe1yQiPIkePak4TU9KeRMWtlCXF+2ioZlsLlBsvHDIJZYaDo/iucnyBjbkmTAe3ecGIozfqfetKE7UZ33aJlWZ9ugonVLlXwpNKorTtbd14oEoJmJ/C4CRFxnNfmk8fL7o3CdZCKM+wXH3EPu/eivFYmbq4NmBDPtYDmMVCL8cCmnXj7Mw/vtCn7haXzpuEnt69H355BzJgS1lCdSGi0duptRFQBcAEzv7lNNrUdZSQASEpnGHEgm5BKg9ClMmaTHKvkh+PGS+qvQSFjYnJTiIG70kOpG9ZVoRyyKZWxmkaqspUXXCUuHxevEheVHE+SOMW9mak76fnJdW5lbb7y65CvZFFWJ061kxU10hnzxIY6IkIaW0aWu7GgOLnqbjp2WWmS2Mkkrtk2mfOzEhvi4ouBXCXDkCorfjHSlbEygp9lSkfFRA4gz9CV8aDFFwNbqTZj4N4b7cpOHc5zjYgWAfgOgHlIVLxvMPPniehAJHF1iwGsBfA6Zn6SElnn8wBeDGAPgPOY+fYRO5mAEcEDm3ZisM5jLh7OwGSort68E8sWH9hhawLaiYaJDcxcB3AoEY2d6odDhKq2WBOuq5p4guwz4uWWg0AeT+SqJkRe1STZp0g2SSh4voxASR4Se5CTDkcZc7MGEzuLsXSunba70W5nkao4P15VHI8I6ioARsHLskw1F7Zz/RJVSCwFprkbo6ISl5DbCFn9NUWts+Ila8WMYDcO0Uq2oPzFQLarxTlpdEmVbYOTvCJeDAorYMjyM1I1FeNpu2rZbudxfVsvBrXi/5macy/KlwBz72fEjuwXg3bFxA3juVYD8PfMfCyApwF4DxEdiyS27mpmXgLgauSxdi8CsCT9dwGAr46E/QEji3y5rbGVmWqwZG7IUJ2oaLYm0kMArieiKwHsNhuZ+TMtsarNcAPqjWsI0IPJsxpbPgXImgDtZICiokaqahKRrVRp6k4WTC7JmKOoaSqUpZooE65KchzVpLsaZXb4YtQSEpXbachaROQsLG/aKSqNW+9NSaQw9deMMpbVUFPconbGanEJKFMixnAKLUZtUGSZZqSq7hRYdlYm0NpZKzZkfev3ovE2JuQvLk00MH1xuiKFOY9IEm7lXrTiLEtc343Gc9DJorWOp5Db3M62Z6cO+bnGzI8DeDz9vJOI7gOwAMA5AM5Md7sEwLUA/jHd/h1mZgA3patCzE/7CRglWLGhD709VRx64JROm7JfWDBzMqZ0hwzViYhmSdyD6b8IwLR0WyEgeKxCi/2SRMQuByFWR9DUHaG25IpTEhReiCfSEgacWDNNcSosHs5FN6WXjIkJvla3lUY3Y7ZwflHRfRvJ4zVyi8aMSV2KO7VE2XRJcU6qtHZOhq4YT9emqlRbZdxjZLuijfI24BBgIAnqtxW1WJSDUew091SJgldGnLVyN5WI0F/T6tLp9ezk8faZItOCjFnKGOVE3b6nbLXOa6ds59znyXVQkojqMaZ0V9BGDOu5RkSLAZwM4GYA8wQx24jE3QokBO8x0Wxdui2QuFGElRt24Nj507N7eKwhighLwhqqExLNkrh7mflyuYGIXtsCezqCMpJjtmVuUZJxSGUTZ7Kv5YaN7HVZ3QKythphx+BZJTgK7XIFT8bgSfXDjv2ya4EBieurq2ImXCeJwSW3QqVxEzBku2zReCWxwU348GWnRmTKnsSox0lmqikSrNlZE4H/1UqiNBpFynU3WkS9ZpMx183sZtHKuDVJVvpruavdJX9udrGm4GkkLnJITkW2Y2Qucy1z2VYo83EZ7FdsUtRkmdjQMJM4su2c1FXJr7Hici0nqW1dMGG/n2tE1Avg/wC8n5l3yIxGZmYiGtJLLhFdgMTdikMOOWQoTQOGiXrMuHfDDrzh9EWdNmVYOHLuNPxp9ZZOmxHQZjRb7Pefmtw2JlGMC7Ljuqw6cVwMQpdKQx4XZE/wWuV+vdCtnWXqVcaseCJbpdHUj4a1xywlTgbLK9mw7E7wYtWKsiK6SgJGvzrB50uIJdmwKLh93TEAgH5BqrJyKW7CQAlRrwiSk5XlECS8TDGU7kZTJDgL6qfy+nmFGDV23aIKea/Z8YRa8kPjDGuyMnRz4lV0edYchVK7f9RixjX7RcSNcZR2FrJv2+tO3a/nGhF1ISFw32fmn6SbNxHR/PT3+QA2p9vXA5DsYGG6zQIzf4OZlzHzsjlz5gzhFAKGi4e37sbewfqYjYczWDqvF1t29mP7noFOmxLQRjSqE/ciJFlVC4joC+Kn6UgCfMcFtLgguc2uPl/MMtWC191yENqanW7WZ9auROFyY8YiyhW8mkgYKLhhFfInFRipCmmJDQXSKAL/TTttonbJrcnazVQhzwSfEz1k9fNM4d2IbPKnEtKU3EZuUWKVqNskx10CqkJUSBgw7fIF4kWdOEn+hJuyWmJnouC5a7zqpLGrIuIJZSKHek+l90vNHYP8XDRyWxH3mUrwLZuUYs1ONmyWSVzRXftSJTW/txLDea6l2aYXAbjPiZ27EsBbAXwq/fszsf29RHQpgKcC6AvxcKMLKzf0AcCYWzPVhVl+a/XmXTgtZKhOGDTyXWwAsBzAy2GvKbgTwN+1yqh2oyzY2myTk3IcF7NMVYWrZpdZcAvfWscjygLWB2pxVkg1SVDQA9wTe4RbtJ6saGD2lYqaa2fkrDdqTbgmXkqW88iWqhL17NheG9brFhX13uJYrthQTkTcOEQ3Pqs8Jg6ZHUnsoh0nZ9Vfk4RbKEcysze3U3GHu4WgM/JXTPiQ91QtztfjlQpeacazyGbuSd2UBde3cm+o7ls5BiXXyqpnp4wBiTGQsZDai0hEKCzNlfStu/vbpMQN57n2DADnAriHiO5Mt30ECXm7jIjeDuARAK9Lf7sKCWFcg6TEyPkjYH/ACGLlhh3orkY4cm5vp00ZFpakZUZWbdwZSNwEQqM6cXcBuIuIrgCwO03LR1pjqacN9rUFGcmJ9YzHnqqZOJNJuVDtXrjM5MTZqDxD2TY1KFxzmVG5CjVY013DZps2cbpuUd19q9SziwgDg0W3qDvBa27YPVo9NE0Z87hvy8ZALnVmrrNOpou1+eTyYGUuQStGjWxXezYuJfXeTAC/q+DpLwZ5jKFtk7bCSPHeqMUxuitmvdqSe1G2EyqtVETL7jsztvK6q679KF/poWxNWXN+rcRwnmvM/GcAZUzzLGV/RliPddTi8b69+PldG3DcwdMzlXusYsHMyVgwczK+fM0anH3MPBw0Y2wtHxawf2j2rv0tgMni+2QAvx95czqDgjvVIkxO6Y64uKJBw+r6Ua6oyUXHrfpryvFc8uAWgm1KbVEmanm8WkFtkcdDdi7J70Y5sstPVCM7zqrM1RY7K1JI962rKhaVuHL3rRb7Zdq5blHN9S1Jh1kgPnbPzyJV0I8XK+MiS5OoZDNKS70UlVzTzjqeco0t4qxlpzruVDuJAVY7V50rcylry2dZ7mJhZ1kcomu7PF6bMK6fawF+PLF7AOdedAt27qvh315+fKfNGTaICF8/91Ts2DuI8y++Fbv6x03EU4AHzZK4ScycVRFMP+93QR0iOpCIfkdEq9O/Byj7nERENxLRSiK6m4hev7/HawQ19ssiBsl+icKVxxypwfIaESFnWSpX/XDcYeoEGEkFSMuGzd2wZe5bt8Bq0pc4PypRjuSyYiTq2SmkylUMIzLZsHlsW742LHL3rTPBm7m8TBmTdkp1x2QJZrF7jlvUWtGgRMEz9fPsLNqiS9DKXI5K3L41hUxbcY96MoK1fJZUTUsIflEZK8+GledSKLBcci8WXii0FwNBikvjM107SawaIa5fmzCiz7WAsYNd/TWc/+1b8OgTe3DhW5fhKQvHdlKDwfELZuDLbz4FD2zaiXd///bs/1nA+EWzJG43EZ1ivhDRqQD2DuO4ZdXNJfYAeAszHwfghQA+R0Qzh3HMUhTclM5ko7lF1YQBZ1tpDFeD45UpOdoEGKnEICcrtp2Ki1WoUAUypp2fUOJylcZeLcFyKYu+s+W6hArVKNEgc4uy7fLU1R17hQHdLSqzaMXxBMmRKxpk7dRECvt4mp36sluO61u5D3Qy7SS91IrXSiY2aMdLVsmQpBHqNc7Oz7JTUfliQW61cbGIs60KZwRfuX5twkg/1wLGAPYN1nHBd5ZjxYYd+MqbTsHTDp/VaZNGFGceNReffMXx+NMDW/D/froCiUc/YLyi2aJM7wdwORFtQBIPchCA4ShjZdXNMzDzA+LzBiLaDGAOgO3DOK4Kl+TYNdLcZanKJ1xZe6y/Zqs0ZQuhm760CVAqR7qKUVaaJCcG2tqiEdnnLFUh3aZkpQBT8oMZycoEYqKuKW5Ri1iSWO0i2+aciyCNPdVq1rdRuDQ73eNJ0hina6fK7OIBRTmSxDlLwOCc5EVE6M/GxY796umK8jFIXe1l8WDqPUWkqlmlcY/WC4W8X1G4NzQ3pUuA3bp7UrmVilrBfZtyLZts5jbI2oqanQPOEmLJtra7U9+PkX2uBYxy1Oox/vaHd+CGB7fhM687EWcfO69xozGIN5x+CNZv34sv/mENFh4wGe993pJOmxTQIjRF4pj5ViI6GsBR6aZVzDw4jOOWVTdXQUSnA+hGUl1d+31YhTKL2aKwJ3g5cSorE5hJKiFMuXtKKlWDjksSaCKYnMTi4Y5NgEcxdFQTeX5G/VDjs8ipaybslH0DiQJj5luXGFguXkFoCjFqkbM2rChtIV2ZcYxiYkNNjHm6b1JmBdk+QHnMn4wHG6xxRsYM+ZN9FFyXQmmc2lMp7CPbmZdgq7RMPc4yiROiV1QHNcWXOR8jSRBL740S9620Kbc9Lzxtq8kQ++RjYIoZ1+X1k9dBjEF/rUhIa3HuOjX3iOm7XWjBcy1gFIOZ8U8/uQe/vXcTPvayY/GqUxZ22qSW4gN/sRTrn9yL//ntA1hwwGS88uTxfb4TFU2ROCKaAuADAA5l5r8ioiVEdBQz/8LT5vdI3mxdfFR+aVTdPC2c+V0Ab2Vm1cHPzN8A8A0AWLZs2X5px8U4smR7MVtUqfdmKWN5u3wii9SyDnZfol2JC0sqOZmdJWqSuqalQ9gAe8KVSqN7ftKmQl+CjNnxfbbilK2PKbbJ8Tf92UQvIXB1R7npH6hnnyMRFFARZAVIVjSQ6lV/GoPnjovJFpWEQrphDfFxFVgts9cdq+R49vna7WJ7m1Q2xf0i+4zkNiqqrbaCZxNn9/yS4xYTKRJlLFcapfvW7FtHXpi5Ki6E7i6G+mIQKTa1A/vzXAsYm2Bm/MdV9+Hy29bhfWctwfnPOKzTJrUcRIRPvfoEPN63D//w47sxb9oknHHk7E6bFTDCaPaR+W0AAwCenn5fD+ATvgbMfDYzH6/8+xnKq5tbIKLpAH4J4KPMfFOTtu4X3EnYTDCxUD8sJYegxhNZ8VmRTShMH2qGnqJ+WG5YUoiBIBT9QvVyVxjQFC6bYOSKiKU0CmJQdUiAVQTZ6Uvu45IHlxRb51JCcrLSJBaZlrFmkdWP/Cs/l8V1uYH4Wjv1/Bz3rUZyDCoOGbNc9CJmzOyrrQLijovsiyipNWglREgS3uC6Z3ZGdtKCJHoyIcIcwzpfjUw7LmytrIs1TsKWNmDIz7WAsYmvXPsgvnndw3jr0w/F+8+eOK7F7mqEr517Kg6bPRXv/N5tWLUxrK063tAsiTuCmf8bwCAAMPMelNdKagamujlgVzfPQETdAK4A8B1m/vEwjtUUIhkPVqJ+VMiOAcriiRoUPHXVDze2zVVSrOPVdWLgfi8oeFrWoONalDaZffWVAuwAfnebq6iptfIEoVBVoQLJMX+TbWXreEqSKm2pOn2bPt01QoF0IXvtXEoIk65GIo+bU8bYJakWyXGusSThUVQkWdrYmXO2SKqlwNr7ynOVdsp1dd1rVXYvRsrYadmp0qYBkYFcUa5fmzDSz7WAUYjv3fQIPv2bVXjFSQfjYy87rt0Z0B3HjMld+Pb5p2NyVwXnf/sWbNqxr9MmBYwgmiVxA0Q0GanPhYiOANA/jON+CsBfENFqAGen30FEy4jownSf1wF4NoDziOjO9N9JwzimF27mqaZ+2DFVcvkjPZ5IndyomBEYWcSuZGF5R/0wfVgFVsXx7PpdWpyeTgwGFHLk1rwD7AnejmmySarrOi137ZFKTDSSKtUrSQzk/jaxRGpnpLqZ7fIsEO0UwkuOu1hxi2rjUvpiUBFxZeLaxMJ9qxJLpS9TjiU7v/RcZLJFpNlQ8je5Vvl9bpCTL72dtDOKcld7tRKVHL/ohm0TRvq5FjDK8PO7NuD//WwFzjp6Lj792hOt+28iYcHMyfjWeadh+95BvC3UkBtXaJbEfQzArwEsIqLvIykL8g/7e1Bm3sbMZzHzktTt+kS6fTkzvyP9/D1m7mLmk8S/O/f3mI0QRSIInXTFIkk0yIPQTbtsbcgon6SS4q1I97UnrjwjUF/pQa6PKSdzs69lk4z9stSPPPA/EpO5T/0oxH5RroLJNULddgXFSY6BY2fd6ssht04/8i+z7W404yKzb+X+qutS2O620wgFObYnfdl9V4WdZuzksmnauFh2kt6XHJdmz09u66pEpTF4Zds0gihr+pUdr8w9nvyWt0tc39qYi77bq5KM6HMtYHTh2lWb8Xc/uhOnLT4QX37zKWN+RYbhwtSQu3/jTrzn+7ejVg815MYDmrqrmfl3AF4F4DwAPwSwjJmvbZ1Z7YdXFVKVozTg25qodYVLnUw9xysLjNd+01QM14Yy1ca1qSzRoHwMUDwe2cpRGaGRf5PPxX6KY6CTRs01rLVr6hpbpEM/P1XFLFE27eMpfWv3VBMKpaqMOdvKlD93W349tH6Uc3G2+e5X731eolS3CxPhuTZRsXztE3jX927DUQdNw4VvXYZJ6ZrDEx3PPWouPvGK4/HHB7bgn0MNuXEBb3aqLISZwpQFOYSIDmHm21tjVvtRUIUaxA5pZEGuAiDblU9cLJS5BopMmfrRoF3BHZf+VlUmc3fC1VxfapD9EAmwpsSVuRurWjtBhmRRW9mn5oJ0yaWPmJSds3Qzm34K7bT7peyeUty+/oQIe1/teNk9pV0r1c1Maj/yN+0eKvxt8AJTrZTci9aLCFqOifRcm4i47/EdeNvFt+LgGZNxydtOx/RJXZ02aVThjacfgvVP7sWXrlmDRQdOwXuee2SnTQoYBhqVGPlfz28M4HkjaEtH4U7UNslJ/1oTkHF5ij6oOZLj+2u105SpwoRdPAefEudTPwpKXAPFSVXUypSqBqqQzNoFclemZVNFscElR9p4ajaQTig04lx1tjVSBzUC6rphteuX3VPu8VRlrJiR6yNVjV8oSu6finIu7r1Ith2+4+ljl49Bm2KWJsxzbaLhkW27ce5Ft2BqTxXfefvpmN3b02mTRiX+/vlLsX77Xnz6N6tw8MxJoYbcGIaXxDHzc9tlSKfhcwlqE5JbcsOoH43UCJcQujFjWt/ucZI+bdt87Rq6xxR1pyxmzFWXkr+w9ouUc2mU9VlU4uzjyv0tpaiiEwO7b6Uv5/yqCkHUXZf2eGqqYllfqjroUSi9BNhjp34fwNpH69/nOvWpsr6XFff8JEfznUsrMZGeaxMJm3bsw19edDPqcYxLL3g6Fh4QlsEtAxHhv159AjaaGnLTJ+GMI0INubEIr/OCiP5BfH6t89t/tMqoTkBOQES6auIjdvmkBWWf4jZX5dEUp2aO15z7z08CyuqhqRN+QyXOdo+pE7zmgnQneA95KCiNGkHUxsUiX1FjpapMwbP6VtQzTWEiV93Vz0X7TSXOShZtwS2qui7Lx6rs/inaWWJvE9fKJPVYNinj0kpMpOfaRMH2PQM496Kb8cSuAVx8/uk4cu60Tps06mFqyC2eNRXv/O5teGBTqCE3FtEoAuUN4vM/Ob+9cIRt6Shk6Y6CouZRy8oy/OT+GlnIJlxPTJVa7qLEBWbbULTTJZlauyHHjCnn7K6g0LTCFZFVo6zZ7E1DqsxubgFaqy+HSGqKYaNzdhMwVCVOSVAouEWbOJ6xz3XnumNQcKcaF6h0Vyv3i5u1q6mY2ri4hNeb+aqpnSXHdT+3EBPmuTYRsLu/hvMvvhVrt+7BN9+yDCcumtlpk8YMkhpyp2FSVwXnf/tWbA415MYcGpE4KvmsfR/TKJtA7W02CZC/+V2gxQxSl6ToioxUtNzflHaVop3NlJEocxdrri8tucNSUgou5aJSlZ9D3n92fh43s6YmZYSpcP3KxyCzU7XJJmyyvb9d0U4329Qmn/a+QPGeUmMVVcJk29tMMoL8PSeddj/SJp86pytx9jHk/u55aePZYkyY59p4R3+tjnd97zbc9dh2fPFNJ4dlpfYDCw+Ygm+fdxqe3DOA8y++FbtDDbkxhUYkjks+a9/HNHzxPWYe8qlJZUH+SV8obvOQDpXkuIpaCfFy7cxKfDgKnJoM4Cgi0vWlKWpq8kHkKnhme34uVYfkyH59dmolOMr2V6+VQ7QaxS+6qql6fl4XpH18VYnTlEa3XSNV0enfl8SgrQ3rfaFoQmXzjZ1ObsvbtYnE7fdzjYi+RUSbiWiF2HYgEf2OiFanfw9ItxMRfYGI1hDR3UpWbMB+Io4Zv17xOF791Rtw3eqt+K9Xn4AXHKct1R3QDKwacj8INeTGEhqRuBOJaAcR7QRwQvrZfH9KG+xrGwqqQoM4K1d5KytgC5QRNFL7KeurmAloH6PMzoKy5dnHDkK3CZNPGXNJhlnHU/ajq0Kw2mnnqY2LG9umnZePAJu+tPPVitGa/YjsZank/j4XpObC9rrDS9RaeV5qzKbnXmyGaJWNk7utqBQqNqn/Z+xrlRFLxe3bYgznuXYxii7XDwO4mpmXICkY/OF0+4sALEn/XQDgqyN1AhMVA7UYl936GM7+7B/xru/djl37avjCG0/Ga5ct6rRpYx7PPWou/v2c43Htqi14wef+hJ/cvi6QuTGARtmpE6ZCojeYvAn3lKqQeCZhv+LUmPzpAfzlrkv3OJoio7pmiWDq2cljyP3L3H01Lltiq1go2R13b7B8E+OiZQS76mOjJI0yhauRm7IsVqxhjGGJylqp+NsVslod9bWRnRXnnlATNzSF0nH/yr67lOSczF3stlNcw63EcJ5rzPwnIlrsbD4HwJnp50sAXAvgH9Pt3+GkoupNRDSTiOYz8+MIGBJ29ddw6S2P4sLrHsbGHftw3MHT8eU3nYIXHn9Qu9TbCYE3PfUQzOrtxud+vxofuOwufPb3D+Cvn3MkXn3qAvRUJwwdGFNoVCduwsBMNprr1EfQzCZNJdJds/rE2Yj8ldb0apBE4CpqPneqTxVqVuGyyKmzaH1+fnZ7rS+NPDRDpskhGLIvV/30lffQbGpGlbL2d+LJrFg+7VqVxMSpZNNq556f4nb2vZyUEOFkm/1XfnZr1mlEXc2GdWyxS8aMyaWR5glithHAvPTzAgCPif3WpdsCiWsS23b145Ib1uKSGx9B395BnHHELHz6tSfgmUfOnnAL2bcLLzjuIDz/2Hm4+r7N+OI1a/CRK+7BF65ejXc+53C84bRDMLk7kLnRhEDiUpQpa4BfNfHFqGkKUJejlukTZzk5Mtu6PAqJ2s5xnVmqiRPYrtmlkhWy97X6KnENJtuKSlw1IyDm/HxjntvpuvI0BajL6VsdX2XsuhwSZtZebHSt3LGSa+HmfZeXJnHPUypqXZUiYXJfILIx8Yyv7Kvqnp+mxFnHs/frUgipO3Zy/8i5xlVlzMcqmJmJaMjxwkR0ARKXKw455JARt2usYd2Te3DhdQ/j0lsfRX8txguOPQjvOvMInBQyT9sCIsLZx87DWcfMxfVrtuGLf1iNj//8Xnz5mjV4x7MOx18+7VD09gT6MBoQrkIKnxtPW//TjfVSl18qWQsTkEqcmSRzW5qKUdPs1FQaZxJ2MxE1m6y+POpOVSEnpVm7WsyYto6nhzSWFVjW2jXlpvT0nXw2pM3pRys1o6l6nmuV2yD7cu4pze3sIf3mHnSveaN2TY25xwZtXLxj7Pyf6UBiw0hjk3GTEtF8AJvT7esByGCthem2Apj5GwC+AQDLli0bV0ljQ8EDm3bia9c+iJ/dtQEE4JUnL8A7n3N4qPvWIRARnrlkNp65ZDZuefgJfOmaNfjUr+7HV699EG97xmE474zFmDElLGvWSQQSl8JMptrEqa3Z6SpjXlKludGc31Qi5CEZvoXlVTvduCfFjedzb/qyKfX6eXo/ZX25KpBGiv0rBDj9eNyUKulQjudm0ao105Rzcbd1OWNS1pdrX5dik6ZQuuqjRqA0Zawrcse8/KVDU/BcVVgj+OpYeV4MuuRFGTu4EsBbAXwq/fszsf29RHQpgKcC6AvxcDpue+RJfPXaB/H7+zZhSncF552xGG9/5mE4eObkTpsWkOL0ww7Edw47HXc9th1fumYNPvv7B/DN6x7CuU8/FG9/5mFhibMOIZC4FH7VpKg4lWZvNqmaFIr+Nkv+PIqTrgo1JkfaRO2SPd0m03ck2g0h/kxO8Ib0uSqUWppEs7e8JltRjVSui5K04JJUn1KljV12jdIxNyVbYpbXQYydc43N+JJ1/5S7PL0vFJXieJbXOhT7NPEi0vy9aJNn7V6sjnJ3KhH9EEkSw2wiWgfgY0jI22VE9HYAjwB4Xbr7VQBeDGANgD0Azm+7waMYzIxrH9iCr177IG55+AkcMKULf3f2Urzl6YfigKndnTYvoAQnLpqJb75lGe57fAe+fM0afO2PD+Lb1z+MN51+KC549uE4aMakTps4oRBIXIo8fqlc6WjGRWfHLxUnRVe10IiBXjnfJiKa+qGSRsc+reSHG6dn2+fYpJGVBi5Pdx+t2CsV7CyOi48wu4VufXZ63ZsestJszFhBUXOKPcd1FsQr+0kkH9h2S2iqadn56cQ5P2BXVLwO8rt1Lj5Xu7Yqh+cFppmkntEKZn5jyU9nKfsygPe01qKxhUe37cEND27F9Q9uw40PbsXWXQM4eMYkfOxlx+L1py3ClO4wJY0VHDN/Or70plPwd1t24SvXPIhLblyL7930CF67bCHe9ZwjsOjAsHZtOxD+x6Qokqry37RtzSp4bgV8n4rhyzz1TrhR8XjNKHHNTLiaG1bLWPWR20IdNc9YVx0CJI+hld7wnp/z19SzYy5zDdvXzxvn5VGvpC0EAsAl8Yv6tZJopqCzl1xrsXQZSS2/FzUF1lUhVRevpy8tdKFLDmTAmMfmHftw40PbcP2arbjhwW1Y9+ReAMDcaT145pGz8dyj5+JFx89HdzVc97GKI+b04n9fdyLef/YSfPWPD+Ly5etw6a2P4eRFM/HMJbPxrCWzceLCmWM183zUI5C4FC5pIE158AVpK5Okb1J0g+XtGm1aRmDzZEyz0+ymKlWe9VtdwtRogndt0c/PIVNipaPMzmwMlD5VJa6cGLgJGBYxJLeeXZE0+lzDaskP994QD6+YOd3W+PpJW9xzaWolBMt1qrinnftMXxHDc92d82uUgVx4MfBksAaMTfTtGcRND2/DDSlpW715FwBg+qQqnn7ELFzw7MNxxhGzcMSc3lAiZJxh0YFT8B+vfAr+9nlL8P2bH8EfH9iCz1+9Gp/7/WpM66niqYfPwrPSJInDZ08N13+EEEhcCq16vIEv4LtQtNejAGnb3DghQCcpZepOowzLsqxNe1K2SQ5R+XHUGnTKf0ZfzF+hZIto7q6c4HMpa3163alKyQ5fPTs3eUTeG0UFTyEwzjUG8jWdmkpsUAiN5hYtUwyrHtep1ZczdlWrb999BqddcR97zPR7fzyVGJlo2DNQw61rn8QND27FDWu2YcWGPjADk7sqOO2wA/GaUxfijCNm49iDpweCPkFw0IxJ+PvnH4W/f/5R2L5nADc8uA3Xrd6KP6/Zgt/ftwkAcPCMSXjGkQmhe8aRs0NSxDAQSFwKbcI18JZZcF1KDUiVW9/N706Vk5td7kItTTIE1cR3LnIEitX8xW+KmlTWpy+GSzb3r9hg/9WWyKo4xEvryyUpA5adEL+5Wan5j6mgpiuNLlkRxITThnqyjENu1BcKm0DJbb46eJkLtEKFdmVu1bK+CuOplJoxfXUrLpTMXk+MYcDow459g1i9aRfWbN6JBzbtwj3r+nDHY09isM7oqhBOXnQA3nfWEpxxxGyctGhmcJEGYOaUbrz4KfPx4qfMB5DERF63Zgv+vHorfnvvJlx+2zoASXzds5bMxjOPnI3TFh8YCgoPAYHEpdAC9w00IlJ0fSlkRSNMTWT2eZfwckljA+WvbNWBRtmiZefuI4hSkCuqSvkD3VUtpTs1LxWijbkhVeXJBFrCh1ts16cK+si0j+DLWK6yrE8gyUzV+rbOoWKfp3Y8byydQqCaqiGY2t1VjQr7yAk5V9TKS69kfSlE1NjlK8wc0DkYsrZ6U0LWVm/eidWbdmHjjn3ZPpO6Ihw1bxre9ozDcMaRs3Ha4gNCUkJAQxwyawrePOtQvPmph6IeM1as78Of12zFn1dvxcXXr8U3/vQQuqsRlh16AJ5xZKLgHjVvGubPmBTcryUI/+tSZOqOphw47iO5rdtREzR1yBvb5plwfSU/fLXktOBw11WmTbg5GSsSIN3VZvcl/4uZ7s0+XVVlDNJNFvlzCIJ2foZQyPEpW+3A3lYcM7fsSFUblyZIrk18dIIv4St026WoZnnfHte+c7wuj+omP7tKo51Nm/zVFLVcFdbuRXPdi+3cLF/NpoDWo2/vINakBM1H1pbMnYYzjpiFJfOmYcncXiydNw0LD5isxsIGBDSLSkQ4cdFMnLhoJt7z3COxZ6CGWx5+Atev2YrrVm/Fp3+zKtt3Wk8VS+Yl917276BezOntmfDkLpC4FC5ZkdDcRYXyCmbSUsiYr06cuzST3EduK4sn0uLfVPXDIT76+qqFZtkkbM63R5IVN0FBU3k852eC7S3yN4Tzk5MIp9FmXc710Pqy+7SPq9YC9IyrRphyMoXCubs2aa5L/71YvH5dzr3XrIvetbfLcy6ShGe/Of8HtJcV7dzze9HcI/L8ggtuJMDMeHLPIDZs34vH+/Zhw/a92NC3Fxu278Pj2/fisSf3YNOO/mz/yV0VHDm3F2ccOQtL5k7D0nm9WDI3kLWA9mFKdxVnHjUXZx41FwCwfc8AHti0C6s27cTqTTuxauNO/GblRlx6a74c8cwpXSmp68VR86ZhybxpOGretAlVZ7AjJI6IDgTwIwCLAawF8DpmfrJk3+kA7gXwU2Z+b6ts6s7UD0VxUFUoe5Iy856tfiiqlzNR5m4nP4krs0Xaq/Vl4Ko7Wiyd2cdkUAJAt0MaVJKqKHFm0jfH69ZInENk5eesnUIatVUZ8hg1RcFz+pLXgzIC40te0clfzPk2eX65OlvsM++76KbMXZfF+83dR8uQzciRUiTYl4TiFjO2XNHV4stJ1k7J9s37LI5L1qdDUrVM8AA/9gzUsGH7vpSk7RWfc8K2bzC22nRXIsyfOQnzZ0zCM4+cgyXzejNlbcHMQNYCRhdmTunG6YcdiNMPOzDbxszYumsAD2zaKf7tws/u2ICd/bVsv9m9PTjqoPxF5OCZ5t8kzJ7aM67u9U4pcR8GcDUzf4qIPpx+/8eSff8dwJ9abZBX/YiKhMKdpHQ1qqhQkEOGcgVPUWQUV5TPDaupXmXnp5VCMfsIDpdty/+WEwPJD9xxkTbl555uEO1M4L92fm5fZLWzz0VLUOhRziGz1yiOWokYhWxSmp7aXSmSHENgtXZu3xb5S23IXyjKlT/tPjUqaY9y/TV3aqFPhfyZvnwJCrq7uJz8+V6YRvuKDe3A7v4afnn349i2ux/bdg1g2+5+PLF7AFt3DWDbrn5s3TWAvr2DVhuipPba/BmTccz86Xje0XOzSevgmZMxf8ZkzJraPa4mr4CJByLCnGk9mDOtB884cna2nZmxccc+rNqYhAQY9e7y5Y9h90Dd6sO8zBw8IyF2C9L/I5LojaX4zk5Zeg6SpWsA4BIA10IhcUR0KoB5AH4NYFkrDcomXs+EZJE4hzBpmVhaDJaB696UE2c+mSsTrhMTJ4/rBoxLuKRRU5y0c3DPr0tRxiKNwDqTv2WnQ5iktYY/akpVt9OnTIjI2xWvo3t+OqkqHxdznlroRbeiVHU7JFWbN7Uxb8adqrmSfbYYaAqegVsORu1TuTd87nvNXZydQ7X8PtVUvYmGh7buxnt+cHv2/YApXZjV24MDp3bjqIOm4YypPdYkNH/GJMybPilkgwZMWBAR5s9IXlaMOxZIyN2OvTWs3743U6iTz4lifcODW7Fpx74s4czggCldGambP2MSZvf2YFZvN2ZN7cHs3m7MSr9P66l2PCavUyRunlgIeiMSomaBiCIA/wvgLwGc7euMiC4AcAEAHHLIIftlkKY0GWgTUqY0VH1uo6IqZOASEu03bTL2xYy5So7VZ9U+B83V1qOSOJtsaAkYZpMcOfO5W5mwXaVJ2uIqanJiMvZpk5Wr4GlKo6+dlizhZrUSyklOd7V4b+SEqfye6qkWU+kNyfG59tUXA88LhVuGRLNFe4Hx3VM5YS4/nkb+fMcLShxw2Oyp+On7n4VZU3twwJSuECcYELCfICLMmNKFGVO6cOzB09V9BusxNu3YlxG7jPBt34tHt+3BzQ9tw459NbVtdyVKyF1K8Gb1dieEb2pO9GZP7cEBU7swY3IXeltA+lpG4ojo9wAOUn76qPzCzExErOz3bgBXMfO6RifNzN8A8A0AWLZsmdZXQ7hxTBKVbMItVzj0+LXyOKRuDyHxKSq+OCTX9Wn1qShN2Tkorr0c5reiW9RN+FCVKsWmghIn3aLpX02pcsdFc6fqqwf4zs+xSWmXkdQmz8/AF9/lU3C1mL/Cbz7C5SFOmgqZJa10De1eNH1px5vUlZBTbcyNBVqf2v+xiYbeniqOPkifcAICAkYWXZUICw+YgoUHlK/1OlCL05CGfmzbnYQ1bNs1gK0m5CHdvmbzLmzd1Y/+Wqz2U4kI0ydVMX1yQupmTO7C9Mldw7K/ZSSOmUvVMyLaRETzmflxIpoPYLOy29MBPIuI3g2gF0A3Ee1i5g+3wt6mYuIqRdXEN3F2eRSHZiZxrxLnietS1Q9fHJInkcLQKi0poJD1acWMOTap7sYisajHsdVOixnT1NLYo8QZtatbUb0MaXQTOGRf3ljDJkiOZq8hORpp6fYouD0OAbbaZQpe8TczBr7sVE0V9Kl79dQHMUkhfz2ecamzaVc8nmZDQEBAQCfRXY1w0IxJOGjGpIb7MjP2DNQtkvfE7n707R1E395B7Nhbyz737R3E+nQ94f1Fp9ypVwJ4K4BPpX9/5u7AzG82n4noPADLWkXgAF3dMXBdp3a78glei88y8E1y+cRZbGd2Vyd/D8nJ3JseQuGLqfGVitDWCC3so2Q8aqU7BmvJBJ8RL4X8aXbWYpsYVESfPneqa6eWhKLVkDPo8RBuX5axzzXsi93Lr1X5i4Hm9jVEy1eHbaj3VC0l3BrxMtu0dj7yp20LCAgIGCsgIkztqWJqTxWHzCpX96w2H9r/43XqifkpAH9BRKuRxLt9CgCIaBkRXdgJgwxBUydAT1yQT1Hr6SpXP3zt8vg1LYYr7VtVcMrtNIGbuvpRbos5nuoyyyZqQzoKu3hj/txF64G83puZzLUVMLRxGUjla03hIo/bLzu/VGXViJpZAsYNfpV9+mLG9EzScnejVtDXwIzL1J7i+5cv6mCS5170xaH5zq9W9yhxXeXXyqimkxTyp92fAQEBAQE6OqLEMfM2AGcp25cDeIey/WIAF7fSJjejUKLHo1Tl6kcRZnLzuYjUjMBK+fHMRK2rH+UTpwng18hf7m4cmhJnJuopPUn7usJy9DGzyY2dEdp4zHLVVLph7fPzuQYlzLj4FFVDmIzyZPXpIcAaSTEwY6e1MyRHU+LMeWkkzgdDjnqVdmZcBuvK+XmTJaLU3uLxzHWY4lkD0Zf0EBAQEBDQGMF3kUJz+xlM8ky42kRrkE+4Q1MXmikV0Wy5CwMTh9SjKXHm/DSSY/ZRyV+qCnUbktMciTPka9qkJKBTkgdDpnwB7mYfFgXtzHXzKTmmTy3zxUfUMxJXz1u6Wa26EptsG1DIkU/9NERGI42mz6lKHSNjn/YiYu5hjcSZW0kjY2b/mVOKFdDNf5W6h/wdoLQzv/UP1gu/dTpdPyAgIGAsIZC4FGby8KkfOslJZz5l7pnkmXB9c5VWCNbATPByVQUDQwi0LEMzQfsWJNdJqmlXTsY0kmP4h4+MHTAlIXF7xWSeB9mXt5uRZvPIMTDn5Yup0jI7zbZpk8qVLe2eMONpbNHIv6aomePMnJyQG015MsuRmfhACdNOO56xRVUT03vQKGOLDpyc/XbQjOTzwSJod3ZvT2Jf2tf01G7Z7og5vQCAY+bnmZQvO/FgAPm9YWx6yVPmZ/ucfWxSUeiEhTOtdk8/fFbB7vEAInohEa0iojVpcfOAgICAEcHYKUvcYvjUiGZKN0gCYzDJ4/oyqpXmPTL7T59Unnqs2WmOp6kfhhS5S/EAedyZmeClTUb5UzhjBqPWTJ+cn6fPXWhglDhJcg5M17zzVcw2qpBUleZM68HabXswKyUfGmb1Ju0OPTAPNj39sAPxqxUbC2M2XxCag6Ynn597dF5E8p3PPhxf/9NDVrtJXRGOnNubfX/KghkAgHOffmi27V9eeiwuvmFtNlZEhFecdDCWzJuW7fPi4w/Cj259FH995hHZtm+dtwy/v2+zNZ4fftHR2TEA4JWnLMDqzTvx1qcvzrb99D3PwMoNfVZB5v957Yk4Zn5+vNecuhDViPDqUxdm2y5759OshdCJCP/312fgEDF2bz1jMU5cNAOnHHJAtu0/Xnk8Pv7y47LvUUS45aNn4UAxTi894WCcedRc6/p94Q0nee+xsQoiqgD4MoC/ALAOwK1EdCUz39tZywICAsYDAolL4XPxGDVBi3EyBESLBzOqi5l4pdpjlA5NNTEuQUmKsnbTknaLRE2bg2dMwoa+fdlEPTO19/A5U7N9jk3VkoUH5ErKCQtnYLNYBHtO2verTskn8xefMB+/XrnRIidnHDEL92/cmX0/YGoXDp89Fe//i6XZtr89awk27+jHMaLe1T++8Ghs3ZUfb+60Hrz6lIV4iyA5H37R0ThoxiQcLUjGZ19/ojUGi2dNwd+etQSvP21Rtu3zbzgZV93zuKUmXfbOp1tB+0cfNA2ff8NJOOuYvLb0p151As592qEZeQSAP37oTIssHXXQNFz7wTMtAvPBFxyFC559uOW+vfNfnm8R0iPnTsND//FiKznjtcsW4bXLcrsB4HNvONn6Pqu3B7/4m2dZ25539Dw872i7Jva7nnOE9X36pC584hVPsbadtGgmTlo009r2GkHWgOT+fN1ptk2Hz+nF4XN6rW2nHnqA9b0SEU499EBr2zTlxWPutGJavuvWJSKvOj2GcTqANcz8EAAQ0aVIVqwJJC4gIGDYIB5nr7/Lli3j5cuXD7nd/Rt34IWfuw5fP/dUvOC4pEbxV65dgyvv3IBfve9ZmXvo3ItuxsmLZuIDzz8KALCxbx9e+/UbcOFbTsNRByXE46p7Hsfv79uEz7zupKz/L169GicsmonnLJ0DAHhy9wD+93er8MHnH5UpS8vXPoH7N+7EXz4tJzU/u3M9jpk/HUtTpWZ3fw2/vOdxvPqUhZlL7aEtu7B114C1UPAtDz+BI+f2ZuQkjhl3PPakNen27R3EQC3OyBsAbNqxD7N7e7K+mRk79tUyIhsQMBpBRLcxc0uX5tsfENFrALyQmd+Rfj8XwFOZ+b3OfnLVmVMfeeSRttsaEBDQGQzn+RVInMDegXpWTiIgIGDsYKyTOInhPMMCAgLGHobz/AqJDQKBwAUEBIww1gOQvuqF6baAgICAYSOQuICAgIDW4VYAS4joMCLqBvAGJCvWBAQEBAwbIbEhICAgoEVg5hoRvRfAbwBUAHyLmVd22KyAgIBxgkDiAgICAloIZr4KwFWdtiMgIGD8IbhTAwICAgICAgLGIAKJCwgICAgICAgYgxh3JUaIaAuAoRRZmg1ga4vMaSWC3e1FsLv9GIrthzLznFYa0y4Q0U4AqzptRxMYK/fWWLETGDu2BjtHFkcx87TGuxUx7mLihvogJ6Llo7G+VCMEu9uLYHf7MZZtHyZWjYXzHivXZ6zYCYwdW4OdIwsi2u/CkMGdGhAQEBAQEBAwBhFIXEBAQEBAQEDAGEQgccA3Om3AfiLY3V4Eu9uPsWz7cDBWzjvYOfIYK7YGO0cW+23nuEtsCAgICAgICAiYCAhKXEBAQEBAQEDAGMSEIHFEtIiIriGie4loJRG9T9nnTCLqI6I703//0glbHZsmEdEtRHRXavfHlX16iOhHRLSGiG4mosUdMNW1qRm7zyOiLWK839EJWzUQUYWI7iCiXyi/jbrxNmhg96gcbyJaS0T3pDYVMrQowRfS8b6biE7phJ0jDSL6FhFtJqIVJb9/SFyrFURUJ6IDR6GdM4jo5+L/+vnttjG1o5GdBxDRFek9dAsRHd9uG1M7mpmLRsU936StRxPRjUTUT0QfHMV2vjkdy3uI6AYiOnGU2nlOauedRLSciJ7ZsGNmHvf/AMwHcEr6eRqABwAc6+xzJoBfdNpWxyYC0Jt+7gJwM4CnOfu8G8DX0s9vAPCjMWL3eQC+1GlbS+z/AIAfaPfDaBzvJu0eleMNYC2A2Z7fXwzgV+k99TQAN3fa5hE672cDOAXAiib2fRmAP4xGOwF8BMB/pZ/nAHgCQPcotPPTAD6Wfj4awNUdGs9m5qJRcc83aetcAKcB+CSAD45iO88AcED6+UWdGNMm7exFHuZ2AoD7G/U7IZQ4Zn6cmW9PP+8EcB+ABZ21qjE4wa70a1f6zw1iPAfAJennHwM4i4ioTSaqaNLuUQkiWgjgJQAuLNll1I030JTdYxXnAPhOek/dBGAmEc3vtFHDBTP/CQnhaQZvBPDDFppTiibsZADT0v8Dvem+tXbYZhnR2M5jAfwh3fd+AIuJaF47bJNoci4aFfd8M7Yy82ZmvhXAYLvtEzY0Y+cNzPxk+vUmAAvba2XTdu7ilMEBmIom5s0JQeIkUvfXyUjUIRdPT90CvyKi49prmY7URXYngM0AfsfMrt0LADwGAMxcA9AHYFZbjVTQhN0A8OpUOv4xES1qr4Wl+ByAfwAQl/w+Kscbje0GRud4M4DfEtFtRHSB8ns23inWYQy8gI0UiGgKgBcC+L9O21KCLwE4BsAGAPcAeB8z++7BTuEuAK8CACI6HcCh6MBELuGZi0bdPd9g3hw1aNLOtyNROjsGn51E9Eoiuh/ALwG8rVFfE4rEEVEvkofh+5l5h/Pz7UiW7jkRwBcB/LTN5qlg5jozn4TkgXN6p2I5hoom7P45gMXMfAKA3yFXtzoGInopgM3MfFunbRkKmrR71I13imcy8ylIXBzvIaJnd9qgUYaXAbiemZtV7dqNFwC4E8DBAE4C8CUimt5Jg0rwKSSK1p0A/gbAHQDqnTKmwVw0qjBWbG3GTiJ6LhIS94/ttM2xwWsnM1/BzEcDeAWAf2/U34QhcUTUhWTgvs/MP3F/Z+YdxgXIzFcB6CKi2W02sxTMvB3ANUjeyiXWA1gEAERUBTADwLa2GudBmd3MvI2Z+9OvFwI4tc2maXgGgJcT0VoAlwJ4HhF9z9lnNI53Q7tH6XiDmdenfzcDuALA6c4u2XinWJhumyh4AzrkSm0S5wP4Ser6WwPgYSQxZ6MK6fP9/PTF8i1I4vce6oQtjeYijKJ7vglbRwWasZOITkDy7DuHmTvyzB7KeKYhAoc34iETgsSl8RoXAbiPmT9Tss9BJrYpldsjdHhyJqI5RDQz/TwZwF8AuN/Z7UoAb00/vwZJAHRH48+asduJ8Xg5kviAjoKZ/4mZFzLzYiST5x+Y+S+d3UbdeDdj92gcbyKaSkTTzGcAzwfgZhdeCeAtacbe0wD0MfPjbTa1IyCiGQCeA+BnnbbFg0cBnAUAaYzZUegQOfKBiGYSUXf69R0A/tQJVamZuQij5J5v0taOo8n5/RAAPwFwLjM/0E77hA3N2Hmk4CGnAOhBAx5SHWlDRymeAeBcAPekcjqQZFUdAgDM/DUkE/JfE1ENwF4Ab+j05Iwkm+USIqogIZWXMfMviOjfACxn5iuR3BTfJaI1SAJ739A5czM0Y/ffEtHLkQRBP4Eke3JUYgyMt4oxMN7zAFyRPrOqAH7AzL8moncB2f/Lq5Bk660BsAeJ8jPmQUQ/RJIRP5uI1gH4GJIEIHPeAPBKAL9l5t0dMRJN2fnvAC4monuQZFP+IzNvHYV2HoPkmcQAViJxqXUCzcxFo+Web2grER0EYDmA6QBiIno/kozLdhLkZsb0X5DELn8lfd7UmHlZG21s1s5XIyHwg0h4yOsb8ZCwYkNAQEBAQEBAwBjEhHCnBgQEBAQEBASMNwQSFxAQEBAQEBAwBhFIXEBAQEBAQEDAGEQgcQEBAQEBAQEBYxCBxAUEBAwb1GAB8v3o79dEtJ2IfuFsv4iSVVXMyhO9I3G8gICAgDIM5flGRM8motuJqEZEr1F+n05E64joSyNhWyBxAQEBI4GLUSxEPRx8Gkk6vou/Y+YT05UnHgXw3hE8ZsAEAhHViehO8W9xp20aCRDReUS0hYguTL+fqbwMXawRDPH7p4loIxF9sNX2jhFcjOafb48iKeH0g5Lf/x3An4ZvUoJA4gI6BiKaJR6gG4loffp5FxF9pQXHu5iIHjZ1yEr2eRYR3TtSitJEgbYAOREdkSpqtxHRdUTUdCV/Zr4awE5l+460bwIwGU0sEB0QUIK9zHyS+LfW/JAW2h3L8+OPmPkd+9uYmT8E4GsNd5wgGMrzjZnXMvPdUNaxJqJTkdTH/O1I2TaWb9KAMY50KaiT0qVwvgbgs+n3XmZ+d4sO+yFRTFWz6TokhTYDho9vAPgbZj4VwAcBjAgxJ6JvA9iIZHmnL45EnwEBRLSYiFYR0XeQrByyiIg+RES3pu77j4t9P0pEDxDRn4noh0axIqJriWhZ+nk2JUvhgYgqqbpl+npnuv3MtM2Pieh+Ivp++oICIjqNiG5IwwduIaJpRPQnIjpJ2PFnIjpxGOe8TLxI35MWQw5oDkN6vqUvBf+b7jtimCgrNgSMIRDRmQA+yMwvJaJ/BXAYgMORVLb+OwBPQ7Jg+noAL2PmwfQN5zMAegFsBXBeo6VqiOi1SCq715EsbRMWXx8hpLFqZwC4PJ2TgGQJGRDRqwD8m9JsPTO/oFHfzHw+JauBfBHA6wF8e0SMDphomCwq5z+M5NmyBMBbmfkmInp++v10JKtRXElEzwawG8lKLSchmUNvB3Bbg2O9Hckz5jQi6gFwPREZNeZkAMcB2ADgegDPIKJbAPwIScX+W4loOpIK/hchcdW9n4iWApjEzHc1ca7PEucKJM/SXzDz8vQ8QESfBvDrJvqa8PA93zx4N4CrmHmdaDNsBBIXMBZwBIDnAjgWwI0AXs3M/0BEVwB4CRH9EsmEfg4zbyGi1wP4JIC3Nej3XwC8gJnXU7rWa8CIIQKwPVVZLaQLPw9rMW1mrhPRpQD+AYHEBewf9sr7M42Je4SZb0o3PT/9d0f6vRcJqZsG4Apm3pO2u7KJYz0fwAkiDm1G2tcAgFuYeV3a150AFgPoA/A4M98KWGEElwP4f0T0ISTPt4ubPNfrmPml4lytdukz85TUzoDGKH2+efB0JGT63UjupW4i2sXMHx6OIYHEBYwF/CpV2+4BUEH+tngPkgfeUQCOB/C79A2nAqCZBaOvR7Lu42UYJqkIsMHMO9L4w9cy8+Wpi+iEJlUDFWkfRzDzmvTzywHcP1I2BwQgUdkMCMB/MvPX5Q6UrA9ahhryMKVJTl9/w8y/cfo6E0C/2FSHZ15m5j1E9DsA5wB4HYBTPbY0BSI6HsC/Ang2M9eH299EwP4835j5zeYzEZ0HYNlwCRwQYuICxgb6AYCZYwCDYkHgGMkDjwCsFAHKT2Hmhm+UzPwuAP8MYBGA24hoVmvMH/+gZAHyGwEcRUn6/NsBvBnA24noLiSLjp8zhP6uA3A5gLPS/l6A5DpfkpL5ewDMh+6WDQgYCfwGwNtS1xmIaAERzUWSWfgKIppMRNMAvEy0WYucWL3G6euviagr7WspEU31HHsVgPlEdFq6/zQiMuTuQgBfAHArMz85nBNMPRA/BPAWZt4ynL7GM4byfEtjGdcBeC2ArxPRylbaFpS4gPGAVQDmENHTmfnG9EG5lJm9/3mI6AhmvhnAzUT0IiRkblsb7B13YOY3lvy0X2VHmPlZJT89Y3/6CwgYKpj5t0R0DIAbU4V/F4C/ZObbiehHAO4CsBnAraLZ/wC4jIguAPBLsf1CJF6D21PVZguAV3iOPZC6OL9IRJORxMOdDWAXM99GRDswMmEE5wA4FMA3TZzWEF2EEwJDeb6lLvCFDfq7GM27wr0IJC5gzCN94L0GwBeIaAaS+/pzSN6OfPg0ES1BovBcjeShHBAQMAHAzL3O97VIwjLkts8D+LzS9pNI4m6RJl+Z7fcDOEHs+s/p9hjAR9J/Etem/0z794rPtyJJ4rJARAcj8aI1VaaCma1jpNvOE18vaaafgNGJQOICRgWY+V/F52uRPnTk9vR7b0mbOwEMKbuUmV81dEsDAgICOgMiegsS8viBlBhq2AvgRUR04f7WikszVV+JpCRGwCgG5eFFAQHjG0T0eSTZV58vqxVHRM9CUu9nGzOf2UbzAgICAgIChoRA4gICAgICAgICxiBCdmpAQEBAQEBAwBhEIHEBAQEBAQEBAWMQgcQFBAQEBAQEBIxBBBIXEBAQEBAQEDAGEUhcQEBAQEBAQMAYxP8H2ZTJ0ZmQB20AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Get data from the TimeProbe\n", "Nt = sim.tprobes[0].Nt\n", "tmesh = sim.tprobes[0].tmesh\n", "Ey = sim.tprobes[0].E[1, 0, 0, 0, :]\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "# Plot time dependence \n", "ax[0].plot(tmesh, Ey)\n", "ax[0].set_xlabel(\"Time [s]\")\n", "ax[0].set_ylabel(\"Electric field [a.u.]\");\n", "ax[0].set_title(\"Ey vs. time\")\n", "\n", "# Make corresponding frequency mesh\n", "dt = tmesh[2]-tmesh[1]\n", "df = 1/(tmesh[-1]-tmesh[0])\n", "fmesh = np.arange(0, Nt)*df\n", "\n", "# Fourier transform and plot\n", "ax[1].plot(fmesh, np.abs(np.fft.fft(Ey)))\n", "ax[1].set_xlim(1.7e14, 2.3e14)\n", "ax[1].set_xlabel(\"Frequency [Hz]\")\n", "ax[1].set_ylabel(\"Electric field [a.u.]\");\n", "ax[1].set_title(\"Spectrum\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A single peak is clearly visible, centered just below `f = 200THz`. We do not observe any of the higher-order modes of the L3 cavity because a) the fundamental mode is the longest-lived and b) we use a y-polarized source at the center of the simulation domain, which does not excite some of the other modes. Next, we will look at the field profile of this fundamental mode." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Refine simulation, use symmetries, get mode profile\n", "\n", "Now that we've seen a clear resonant peak, we can increase the resolution of the simulation to obtain more accurate results, and to get a high-resolution image of the cavity mode. To compensate for the increased computation time, we can exploit the reflection symmetries of this problem. Given that the source frequency is already quite close to the peak of the spectrum above, and that we observe a cleanly excited single resonance peak, we will use the same source and run time as above. We just double the spatial resolution, which, for lattice periodicity of 400nm, will now be equal to 20 mesh cells within a lattice period." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# 20 pixels per lattice period\n", "dl = 0.02\n", "mesh_step = [dl, dl*np.sqrt(3)/2, dl]\n", "\n", "# Redefine simulation size because of the PML region\n", "sim_size = [(Nx+2)*alattice + 2*npml*mesh_step[0],\n", " ((Ny+2)*alattice + 2*npml*mesh_step[1])*np.sqrt(3)/2,\n", " 4]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use both a time and a frequency probe to obtain the field profile, each coming with advantages and disadvantages. The frequency probe captures accurately the frequency-domain field, but that includes the source (apodization will be added in the future). On the other hand, examining the time-domain field can capture the \"eigenmode\" of the system, but only if all the other modes have decayed. This is, to a very large extent, the case in our simulation, so as we'll see the second approach works very well.\n", "\n", "**NB**: An important thing to note is that a 2D time probe can result in a very large amount of data. Because of this, we will only record the field at the last half of oscillation cycle, namely starting from time `t_start = run_time - 1/2/fcen`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Time and frequency probes\n", "tprobe = td.TimeProbe(center=[0, 0, 0],\n", " size=[4, 2*np.sqrt(3), 0],\n", " t_start=run_time-1/2/fcen)\n", "fprobe = td.FreqProbe(center=[0, 0, 0],\n", " size=[4, 2*np.sqrt(3), 0],\n", " freqs=fcen)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we initialize the simulation, and also define reflection symmetries with respect to the x-, y-, and z-planes. Note that the eigenvalue of the symmetry (plus or minus one) has to be carefully determined, taking into account the vectorial nature of the electric field (and the pseudo-vector nature of the magnetic field). As an extra hint, positive symmetry is equivalent to a PMC plane, where the *normal* E-field component vanishes, while negative symmetry is equivalent to a PEC plane, where the *parallel* components of the E-field vanish. This is also the reason why in the visualization, we use blue and red to denote these symmetries, which are the same colors used for structures made of PMC and PEC material, respectively." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initializing simulation...\n", "Simulation domain in number of pixels: 310, 266, 200.\n", "Computation domain (after symmetries): 157, 133, 102.\n", "Mesh step (micron): 2.00e-02, 1.73e-02, 2.00e-02.\n", "Total number of time steps: 15204.\n", "Estimated data size of probe tprobe1: 0.0054GB.\n", "Estimated data size of probe fprobe1: 0.0001GB.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Initialize simulation\n", "sim = td.Simulation(size=sim_size, \n", " mesh_step=mesh_step, \n", " structures=[slab]+holes, \n", " sources=[source], \n", " probes=[tprobe, fprobe],\n", " run_time=run_time,\n", " pml_layers=pml_layers,\n", " symmetries=[1, -1, 1])\n", "fig, ax = plt.subplots(1, figsize=(10, 8))\n", "td.viz.relative_eps(sim, normal='z', sources=True, probes=True, pml=True, ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We run the simulation as above." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "project = web.newProject(sim.export(), taskName='L3 high res')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Project \"L3 high res\" status: success... " ] } ], "source": [ "web.monitorProject(project['taskId'])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "web.downloadResults(project['taskId'], target_folder='out')\n", "sim.load_results('out/probe_data.hdf5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we plot the field recorded by the frequency probe, with a rescaled colorbar in order to suppress the strongly dominant feature of the source in the center. On the other hand, the field stored in the time probe reveals the eigenmode of the cavity. We plot the last time step, but the field looks the same at all recorded steps, apart from normalization." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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