{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Dielectric to plasmonic waveguide coupler design via Bayesian\n",
        "\n",
        "optimization\n",
        "\n",
        "This notebook explores the design and simulation of a\n",
        "dielectric-to-plasmonic waveguide coupler using Tidy3D. Such couplers\n",
        "enable efficient transfer of optical signals from conventional silicon\n",
        "photonic waveguides to plasmonic waveguides, which support highly\n",
        "confined modes beyond the diffraction limit.\n",
        "\n",
        "The coupler features a silicon strip waveguide that gradually tapers\n",
        "into a metallic slot waveguide. We utilize Bayesian optimization to\n",
        "systematically refine the design for maximum coupling efficiency.\n",
        "\n",
        "<img src=\"./img/silicon_to_plasmonic.png\" alt=\"Schematic of the 2x2 MMI Power Splitter\"  width=\"500\"/>"
      ],
      "id": "085eee45-80af-490b-9b5d-e16810ee7347"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web"
      ],
      "id": "baaea1eb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Base Simulation Setup\n",
        "\n",
        "Define central wavelength/frequency, a wavelength range, and its mapped\n",
        "frequency grid."
      ],
      "id": "cb8bc985-6033-471c-bc80-c3a92edd0198"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define frequency and wavelength range\n",
        "lda0 = 1.50\n",
        "freq0 = td.C_0 / lda0\n",
        "ldas = np.linspace(1.45, 1.55, 21)\n",
        "freqs = td.C_0 / ldas\n",
        "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))"
      ],
      "id": "5c0fa062"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Load silicon, silica, and gold mediums from the built-in [material\n",
        "library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)\n",
        "for the coupler stack."
      ],
      "id": "ede84743-4a21-4881-b1cb-b5b1e3a06423"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "si = td.material_library[\"cSi\"][\"Palik_LowLoss\"]\n",
        "sio2 = td.material_library[\"SiO2\"][\"Palik_LowLoss\"]\n",
        "au = td.material_library[\"Au\"][\"Olmon2012crystal\"]"
      ],
      "id": "6135ad26"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Set static geometric parameters such as the plasmonic slot length,\n",
        "silicon/gold layer thickness, slot width, and so on."
      ],
      "id": "e015f99b-896f-4395-a092-9fea4efb951c"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "l_slot = 1.5  # plasmonic waveguide length\n",
        "h = 0.25  # both silicon and gold layer thicknesses are 250 nm\n",
        "w_slot = 0.2  # metal slot width\n",
        "w_si = 0.45  # silicon waveguide width\n",
        "inf_eff = 1e2  # effective infinity\n",
        "buffer = 0.6 * lda0  # buffer spacing to pad the simulation domain"
      ],
      "id": "80f06fd4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To streamline the design optimization process, we define a function\n",
        "`make_sim()` which accepts tunable design parameters including the taper\n",
        "angle, taper tip width, and gap size, and constructs a corresponding\n",
        "Tidy3D\n",
        "[Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html#tidy3d.Simulation)\n",
        "object."
      ],
      "id": "870636f0-3604-4512-bf05-606c53cd5e21"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define the oxide layer\n",
        "box = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)),\n",
        "    medium=sio2,\n",
        ")\n",
        "\n",
        "# add a mode source for excitation\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=3.47)\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-0.9 * buffer, 0, h / 2),\n",
        "    size=(0, 4 * w_si, 6 * h),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=0,\n",
        "    direction=\"+\",\n",
        "    num_freqs=1,\n",
        ")\n",
        "\n",
        "# add a field monitor to visualize the field distribution\n",
        "field_monitor = td.FieldMonitor(\n",
        "    center=(0, 0, h / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
        ")\n",
        "\n",
        "# extrusion arguments for polyslab\n",
        "polyslab_args = dict(axis=2, slab_bounds=(0, h))\n",
        "\n",
        "\n",
        "# function to create a simulation given the design parameters\n",
        "def make_sim(theta, d_tip, l_gap):\n",
        "    # calculate the taper length\n",
        "    l_taper = (w_si - d_tip) / (2 * np.tan(theta))\n",
        "\n",
        "    # define the input waveguide structure\n",
        "    vertices = [\n",
        "        (-inf_eff, -w_si / 2),\n",
        "        (0, -w_si / 2),\n",
        "        (l_taper, -d_tip / 2),\n",
        "        (l_taper, d_tip / 2),\n",
        "        (0, w_si / 2),\n",
        "        (-inf_eff, w_si / 2),\n",
        "    ]\n",
        "    wg_in = td.Structure(geometry=td.PolySlab(vertices=vertices, **polyslab_args), medium=si)\n",
        "\n",
        "    # define the output waveguide structure\n",
        "    vertices = [\n",
        "        (l_taper + 2 * l_gap + l_slot, d_tip / 2),\n",
        "        (2 * l_taper + 2 * l_gap + l_slot, w_si / 2),\n",
        "        (inf_eff, w_si / 2),\n",
        "        (inf_eff, -w_si / 2),\n",
        "        (2 * l_taper + 2 * l_gap + l_slot, -w_si / 2),\n",
        "        (l_taper + 2 * l_gap + l_slot, -d_tip / 2),\n",
        "    ]\n",
        "    wg_out = td.Structure(geometry=td.PolySlab(vertices=vertices, **polyslab_args), medium=si)\n",
        "\n",
        "    # define the top plasmonic waveguide\n",
        "    vertices = [\n",
        "        (l_taper + l_gap, w_slot / 2),\n",
        "        (l_taper + l_gap + l_slot, w_slot / 2),\n",
        "        (inf_eff, np.tan(theta) * inf_eff),\n",
        "        (-inf_eff, np.tan(theta) * inf_eff),\n",
        "    ]\n",
        "    gold_top = td.Structure(geometry=td.PolySlab(vertices=vertices, **polyslab_args), medium=au)\n",
        "\n",
        "    # define the bottom plasmonic waveguide\n",
        "    vertices = [\n",
        "        (l_taper + l_gap, -w_slot / 2),\n",
        "        (l_taper + l_gap + l_slot, -w_slot / 2),\n",
        "        (inf_eff, -np.tan(theta) * inf_eff),\n",
        "        (-inf_eff, -np.tan(theta) * inf_eff),\n",
        "    ]\n",
        "    gold_bottom = td.Structure(geometry=td.PolySlab(vertices=vertices, **polyslab_args), medium=au)\n",
        "\n",
        "    # add a mode monitor to measure transmission\n",
        "    mode_monitor = td.ModeMonitor(\n",
        "        center=(2 * l_taper + l_slot + 2 * l_gap + 0.9 * buffer, 0, h / 2),\n",
        "        size=mode_source.size,\n",
        "        freqs=freqs,\n",
        "        mode_spec=mode_spec,\n",
        "        name=\"mode\",\n",
        "    )\n",
        "\n",
        "    # define simulation\n",
        "    sim = td.Simulation(\n",
        "        center=(l_taper + l_gap + l_slot / 2, 0, h / 2),\n",
        "        size=(2 * l_taper + 2 * l_gap + l_slot + 2 * buffer, w_si + 2 * buffer, h + 2 * buffer),\n",
        "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20),\n",
        "        boundary_spec=td.BoundarySpec(\n",
        "            x=td.Boundary.absorber(num_layers=80),\n",
        "            y=td.Boundary.absorber(),\n",
        "            z=td.Boundary.pml(),\n",
        "        ),\n",
        "        run_time=5e-13,\n",
        "        structures=[box, wg_in, wg_out, gold_top, gold_bottom],\n",
        "        sources=[mode_source],\n",
        "        monitors=[mode_monitor, field_monitor],\n",
        "        symmetry=(0, -1, 0),\n",
        "    )\n",
        "\n",
        "    return sim"
      ],
      "id": "9a1afd0c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Build a first design instance and render a top view at `z = h/2` to\n",
        "confirm geometry, source, and monitor locations."
      ],
      "id": "e5cacc66-8601-4cba-87b6-e6f1fd055fd0"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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1Y8cOadasWUnvD4D0xS9+Me7+NmzYIE2YMCHpfbnd7hP2EQqFpJkzZ476vJFn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\nGT0/kVHUVBSg5pzpuOjsadi1twur2zrQtukg3J6A2kMjIiKiDJo0vhg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guMBYnzfRJEnC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6UsizVZIxMzxt2z9DZpjZ6fiHKbaDbBUlYI2ziuS0lEREkSBFiK8mEpyofE9S6JCICIUOQO4YB+\n61/W/8pQ/KY7+fn5+N73voevfOUrePbZZ/HUU09h586dcLvdeO+99/Dee+8l3EdeXh6uvfZa3Hbb\nbViwYIHSQ6QsG3WyIs7ds3Q0aY2en4hylCDAWlIA67giWIryAC6xQEREYySvd2kdV4yQzw9fZw98\nx3oQdPvUHhoRZZlJCMEu+HVb/xq9/g9BueVAMnaX8LKyMnzta1/D3XffjVWrVmHlypV45513sGbN\nGnR3dw/b1m63o7GxEcuWLcOyZctwzjnnoKioKFNDoyxKNFllep20Rs9PRLnHXJAH67giWEsKIJi5\n/hgRESlLtFpgrxkHe3UZgoNe+I6Fm5chfzDxk4lIF/Ra/xq9/vdKFoSg3JJRGWtYygRBwCmnnIJT\nTjkl8j2/34+jR4/C5/Nh3LhxyM/Pz/QwKMPCVwdKgBCKfO+EySq6R52AdpMXCIUwEHIAGJq0Uihn\nJ62u8gvS0J8AYPak9FSLkGD8Ke6PiJRnslpgLs6HpdgJ0RL+R0Yo2AewdiQiokwyA9ZKG6wV5QgM\nuOF39YcvGU/z5q1EpIBEdZwYGv3xE/YXCNeUQ30DTde/Y6Cr+n8MPCELBmPcYCgdGW9YxmKxWFBT\nU6PGoSlDRBHhNx9TeHJ5gtbwhBtqYDpNA7CbEl/yYTf5gWAAA0EnAPk3DoGknqslussfCgFiEILZ\nB8HRk9JT8xKMXXAE0hkZEY2RIAgQ7VaY7FYI5gAAFwIeF8DfIRARkUpMRYCpUELI60fQ40PIz38n\nEqln9N9cCyle+it4fEAoCITESN9As/VvinRX/6foeH4JgqTcWveqNCxJ3zxBa2TCAclPVpm8bWTS\nDv03Vyat0fMTkbaZbBaIditEqxnIkTtKZoI/EITbE4DPH4zcrZKISCtEUYDDbobdZoZgtBudDf1C\nTbRbIYVCCHl84T/BFM/mIqKckOv1r9Hr/5H5zYJy42bDkhQRCoX/YeXx50VOaQaGToOGBARTW8fA\nDgkQvMdPjw4UAKHRT6nWAk/Ios/8kgiETJACVkju1NaXHRQHRn3c7naO+jgRpc+UZ4elOB+WwjwI\nJuOuS+n1BdDd44arxwOvj9e7E5HG9QGiIKCgwIbSIgcK8q3Ga14CQBEASULQ44O/px+Bnn6EAmxe\nEmWakOCScElKrcaVAlYgZArXliPqY83Vv0nSbf2fpJH584RBDEg5cNMdMhZJAoIwYSB0fGI6BS/s\nQjD8hjQGdiEYnrTyQrQhByCJmp20MRfY1Ut+SQAgAJIZCNhTeqpfSvAblhT3R0TJMdmt4ZvnlBVC\ntFnVHo5qAoEgjnYNovPYAPr65fcjZdfXISLKpMEu4HCXFxarH+WlTlSUOZGXZ7z3dZMdsBZXApIE\nf89A+E7j3X1c75IoU8QEdWwoxfchyRyuKyUhZo2sqfo3Cbqu/5MQK79VCKI/F+4STsYiwQR/yAyL\nvGZDnLthpSpX7p6V7N3AUpUr+YlIGwSzCdayQtjKimBy2uU7ohlOKBRCl8uNo8cG4OrxsJb9/9u7\n8zjJqvr+/+97b229zEzP9MzIomRklSCgAm5BBXfBXVEQ/CIwajRo/GXRuHzVKN+YRBMTl4BCxC9f\n3KJJEFyDhsUFUQiyL8o6DDNMT+9d6733nN8f1VXT09Nd3dV9q+pW3dfz8RimZ6rq1H0P91TV+dS5\n5wDoCX7F6LGd03ps57QG+tPavHFAG4cHlE4lbOa841SvGhgaVH8Qyh+fVmV0srpZD4Cu1i3j36SP\n/xfLbyL+zE3BEpGwzp5TKarOWhP3TtuqF6uauOcH0GGOo8z6QWU2rlN63YDkrOxb3a5nraamyxoZ\ny2v3WEFhSJUSQO/KF3w9+MiEHto2ofXr+rRp44A2rOuT4ybriyon5SmzaUiZTUMyZV+V0UlVRicV\nFrtj7TcA+4r7+Dfp4/9W55+LgiUi1aqTNa6dtl2dNa75AXROak2fMsPrlNmwRk4quW/nhUKlfsk3\n61ICSBprpbGJosYmikqlXG0c7tfmDQMaHMgkbpa9m00rd8BG5fYfVlgoqTw6KX/3lEzAewPQbeI6\n/k36+L+dxUqJgiUilHaDlp6sceu07e6sccsPoP1Yl7KqUgnqRcp8gddAAJCkIDDa+fiMdj4+o76+\ntDYP92vT8IAymYQN+RxH3kCf+gf6pCc9gfUugS4Vt/Fv0sf/7c4vUbBERBwbyGvD6RSXTtuJzirF\nJz+A9nFSnjIb1iq7MdnrUoah0dh4QSOjBU1Osy4lADRSLPp6+NFJPbJ9UuvW5rRpeEDD6/vkLrWJ\nRq9ZaL3L3ZPyp1nvEugGcRn/Jn3836n8FCwRCUftu9Si0522U521ptP5AbRBbV3K4XVKDyV3XUpr\nrSYmSxoZzWtsoigT9UreANDjrJUmJkuamCzpAc/Rxg3VWZdrB7OJ+wJswfUud08qLLHeJRBnnR7/\nJn3838n8FCzRlTrVaTv9YlXT6RctAK3BupSSrNVMvlLfPMf3TaePCAB6QhhaPT6S1+MjeeWyKW3a\nOKDNwwPKZpP3frPPepe7J+WPst4lEFeM/5OZvy3vTl/4whf0/Oc/X8ccc0w7ng4J0e5O2+nOOl+7\n8xslc4YX0GpeNqPMpnXKbFgrN5fcdSnL5UAjo3mNjOZVLAWdPhwA6GmlcqBt2ye1bfuk1q7JavPG\nAQ2v75fnJezz3tz1Lg/aLH+ywHqXQEwx/k9e/rYULL/61a/qPe95j44//nidd955estb3qK1a9e2\n46nR49rVaePQWRfSrvyhTdiHV6DFHM9VZnitMhvXKTXQl7jL8mqCINToWEG7Rguanil3+nAAIJGm\npsuami7rgYfHNby+T5uGBzS0NoFrJjvuXutdVmbXuwxY7xKIDcb/ycrfloJlJlOdMXLTTTfppptu\n0p//+Z/rjW98o7Zu3arnPe957TgE9LBWd9q4dNbFtCO/L0+euCwTWBXHUWZoUJmN65ReNyAlbeOD\nWcYYjU+UNDKW1/hkUZaXFgCIBWOsRkarm5tlM542Dg9o88YB9eXSnT60tnNSnrKbhpTdNCRTrqgy\nOsV6l0BMMP5PTv62FCyvvvpqffOb39TFF1+sG2+8UYVCQZdddpkuu+wyHX744Tr33HN19tlna7/9\n9mvH4aAHtarTxqmzNtKu/ACalxrsU2Yj61JOzZQ1MlrQ6HheQcBldgAQZ+VKqO07prR9x5QGBzPa\nPDygjRv6lUp5nT60tnOzmT3rXeZLKo+y3iXQaYz/k5Hfsba9i3Pcfvvtuvjii3X55ZdrfHy8/vep\nVEqnnnqqtm7dqle84hXyvOS9GXaj8fFxbdiwQX/z0T9RKtWvIa/Y0eMpmbTypq/+5wG3uOIOFmVb\n7dKq/L71NOgWtSk9oeMH72uqnbGBfMPbN+QHVnR8QJx56ZRS6weVXjcoN5O8mSk15bKv8cmSxieL\nqrB5DgB0NddxtGYwo/VDfVo7mJWTtEvG57JGwUxR/sSM/Oki612iJ7lO43Gksc19xr1p5nCNButU\nsSkNeY3HiMvF+D9e+Y21Ggty+tDH/0FjY2Nav379io6lpu0Fy5pSqaR///d/18UXX6zrrrtur9sO\nOOAAnX322TrvvPN0yCGHdOLwsEy1guXffvxP5Hp9GkpPd/qQVAozyod7imADXl45r7nLN6Joo1Na\nkV+S+rySNmbGdPz6W5tqq5hu/Nx9fnI3GUFvcRxHbi4tL5dJ7kxKVS8pLJUDFUu+goAiJQD0Itd1\nlMum1JdLK5VK5hInddYqLPsypYqMz6Zx6B2OGs8itmpuktlN48dqd2WDKiatofTUag5tL4z/45Pf\nWmncH9RffTSagmXH3l1yuZzOPPNMXXvttbr33nv1l3/5l9q8ebMk6bHHHtOnPvUpHXbYYTr55JN1\n+eWXq1xmMX4sT86raGDONzb5cEClcPlFsW5+sZJak99zuOQFWIyXSSu9bkCZjWuVGuxPZLHS2mqR\ncnyyqJHRvKZnyhQrAaCHGWNVKPoaHS9odLygQtGXMQmdZeg48nIZpYcGlRleq9RATm7SdlsHOojx\nf+/m79gMy4Xk83lt3bpV3/zmN/e5bePGjTr//PP153/+5xocHOzA0WEhcbskfK6VTGnuxmngi4ky\n/0Q4oIwTaDg1ySXhgCSvL6v0+kGl1w7ISegSJtZazeQrGp8samqqrDA+HycAAB3gSHsuGV+Tlesk\nuGhnrcJSpXrJ+OSMbMiXeOg+3XBJ+FyM/zufP+pLwmMxDeS+++7TJZdcov/7f/+vdu3aVf/7/fbb\nT7lcTg899JB2796tj3/847r00kv1wx/+UEceeWQHjxjzVcepjmTj88Ek54SSU96zEK3pk6y7aAdc\ncIFZJ4xVpmZEmt86qv7/TUlBrqnj8O0S38402R7QKV42Xd08Z3id3FxClzKwVvlCRSNjBY2M5eVX\njKoXa/Qt9UgAQAIUJ6RdE75SqUDDGwa0eXhAawYyUgLXu/RyUmboCZI18ifzquyeVGV8hvUu0T3c\nJcbBpsnPwzZVHVfa1tQNGP/HIL+1ivIVrmMFy2KxWF/D8vrrr6//veM4etGLXqR3vvOdes1rXqNU\nKqX//u//1pe+9CV95zvf0cMPP6x3vOMd+tnPftapQ0cXWe7uWXHbDSsqSc8PrJbjucoMr1Vm4zql\nBvoSOeCSpHI50MhYXiOjBRWLvDYAABoLAqvHd83o8V0z6sultGl4QJs2DiibicV8mfZyXKWH1ig9\ntEb9QaDK2LQqo5MKpuNzZRrQK5I+/u21/G1/x7j11lt1ySWX6PLLL9fExET97zdt2qRzzjlH73jH\nO/bZaOdFL3qRXvSiF+mqq67Sq1/9av385z/X6OiohoeH23z06EZLddpu6awrlfT8QNMcR5mhAWWG\n1yk9NLj0t8s9KghCjY4XtXs0r8lp1pEGAKxMsRToke2T2vbYpNauyWrzxkEND/Ulcp1HJ5VSdvN6\nZTevlylXVBmdUmVkUmE5HuvFAb0g6ePfXsrfloLl9PS0vvGNb+iSSy7Rb37zm71uO+mkk/TOd75T\nr3/965XJNJ5S/KpXvUqHHHKI7r//fm3bto2CJZZtsU5b/3lWnDvraiQ9P7AcqcFc9ZLvDWsTuXGO\nJFljNT5V1MjuvMYnS8ndQAEAEDlrpcmpsianynrAczS8vl+bhwe0dk02kVcwuNmMcgdsVG7/YYX5\nksq7J1UZm5IN2OwSWK2kj397JX9bRmQveclLdOONN9b/PDw8rLPPPlvveMc7dMQRRzTV1tDQkCQp\nCIIoDxEJsGCnnSPunXW1kp4fWAjrUkqyVlP5skZGCxodK7C7NwCg5cLQatfuvHbtziub9bR5eECb\nhgeUyzW3iUdPcBx5g33qH+xT/x9slj+RV2WU9S6B1Ur6+LcX8relYFkrLp544ol65zvfqdNOO03Z\nbHaJRy3sb/7mbzQ2NrbPZePAcszvtDXd0FmjkPT8gMS6lDWlkq+R0bxGRvMqlZnNAQDojHI51LbH\nprTtsSmtGcxq88YBbVzfLy+VvEvG5bhKr1+j9HrWuwSikPTxb7fnb0vB8pxzztFll12mP/zDP1x1\nWy996UsjOCK0hCM5Ka/TR7EkJ3TlhHsXKBzPlePF/9ijsJL8jnXkuK68dErptf1NPZ+XKzW8Pa3m\n2gNWykl5ymxYm+h1KX0/0O7xokZG85qZYb0sAEC8TM+UNT1T1oOPjGvDUJ82bRzQ+rW5RH65uNd6\nl6WKKmNTCqbynT4sJIizRLnIqrmrk7wgJce6cozT1roB4//25XeslSKcB9GWguWf/MmftONp0GGO\n6yo12Nfpw2ioWHFUKHpy5vXNgvrkZUL1ZXr7souV5ndmPHlpT6l1rgaf8gdNPWeu1PgD5mDuoKba\nA9AcY4zGJqpFyonJEleXAQBizxir3WMF7R4rKJPxtGlDvzZtHFB/XzKXb3Fz1fUudcDGTh8KkiQo\nNL491dzEk9TdffImU3J8p211A8b/7c1vjJHK0c3cTOauAkikYsXRdHFPT13TVy391/6u+nvvvmgl\nPT+QKNZqcrqskdG8RscLCkP6NQCgO1UqobbvnNb2ndMaHEhr08ZBbdrQr1QXXNkFoHOSPv7thfwU\nLJEIC3XWPR0z7KpOuxJJzw8kRaFQ0a7RvHaPFVSpsC4lAKC3zOR9zeTH9dC2ca1f16fNwwNav65P\njpu8S8YBLC7p499eyU/BEj2vcWfV7M/d02mblfT8QK+rVAKNjBU0MppXoRD/xbMBAFgta6Sx8aLG\nxotKp1xtHO7XpuEBDfZnErneJYA9kj7+7aX8FCzR05bqrDXd1GmbkfT8QK8KQ6PR8WqRcmq6zLqU\nAIDE8gOjHY/PaMfjM+rvS2vTxgFt2tCvTIahLpA0SR//9lp+XsURieoXmVbWBJ0+lLpixdV0OS2p\n2unWZH3lUkbWLHz/XEqy2XD2MdJU0ZU1vvoyizwg5iLNbx1ZY2TDisLyRFPH4fqNF2sOnebaA5LK\nWqvpmbLGJ0uami7LzFYpsyzhBQCAJMn40uM7JrVrhzQ4mNH6oT6tW5OV67idPjSg+4SlJW6vNNWc\nDT1Z40jWbUndgPF/5/NbaxTlHHcKloiE60qyRiYodvpQJEmlIK2ZSp+k6hpug5misq6vpV4Xs65k\n07XHStMlV9aUlUt112WWUee3xpE1gYw/rcr0Q00dSyacaXh7pbzEGyGQcH4QqlQKVCoHMsbKlTSU\n7fRRAQAQc4E0s1vKjzrK5VLqy6aUTvMtH7BsdonBo9NcOcn4mdlxZUpmqR3Im8T4Px75raxcN7ei\nxy6EgiV6zp7OWjWYKTbV4Wr3rbVR+71bXrRakz9eU8OBXheGRsVyoFIpUBh257e8AADEgbVWxaKv\nYtGX57nV4mUuLY+NeoCewPi/d/NTsEQkjJE8x5Wb6u/ocRQrrmb8tGrzkNdkffVl0pLSTbXTn5Ic\n19SnR8/4g3Lc+E8Pb1V+P3RkHEdueo0ya7Y01ValsrPh7ZnMfk21B/SqMAw1PlXSxERJ+WLnPyAA\nANCT8tXfBvvT1UvG1+bkuVwyDuxjqUvCveZm0rnpNXLcjBw3uroB4/945TfWyJjoJjtRsEQkqkup\nOXLczl1mUaw4mil79TUTqgvMupJW9gGkPzfbaWcXop0pZ+S48VuItqa1+R0FxpPjZeRlh5pqx9ip\nhrc32x7QS4wxGp8oamS0oPHJ4uxrafMfMgAAQHNKU9LuqUCum9fwhn5tHh7QujVZdhkHapa6bLvJ\noqPjZar1AseR466+FMX4P375HWNkFd3ECwqW6AnL3Q2rWd2ye1ar84/O8FIBRMZaTU2XNTKW1+6x\ngsIwXq8nAAAkiTFWI7vzGtmdVzbjadPwgDZtHFBfji8Pgbhi/J+M/FQh0PVa1Vlr4tZp52tH/owX\n76nwQDcoFCsaGS1o92he5UrY6cMBAADzlCuhHt0xpUd3TGnNYEabhge0cUO/Uik26wHigvF/cvJT\nsERXa3VnrYlTp52rXfk9T0p78XiBBrpJpRJo91hBI6N55QusSwkAQLeYnqloeqaih7ZNaP1QnzYP\n92toXZ8cLhkHOobxf7LyU7BE12pXZ62JS6etaXd+j7XIgWUJQ6Ox8YJGRguanC7NrksJAAC6kTFW\no2MFjY4VlE672jQ8oM3DA+rvz3T60IBEYfyfvPwULNGV2t1Za+LQaaXO5QewMGutJqZK2j2a1+h4\nMdLd8QAAQDz4vtFjO6f12M5pDfSnq+tdDvcrnWZYDbQS4/9k5ueVFZGwat+6Lp0u1nW603Y6P4BZ\n1mqmUNHIaHXzHN9nrVcAAJIiX/CVL0zo4UcnNLQup83Dg1o/lJPrclkSEKVOj3+TPv7vZH4KloiE\ndVIKbOvfnDvdWWs61Wnjkh9IsnI50MhoXiNjBRWLrEsJAECSWSuNT5Q0PlFSKuVo44bqJeODAxmJ\n9S6BVYnL+Dfp4/9O5adgicgEoadixbTspI1LZ61pd6eNW34gSYIg1Oh4USOjeU1Nlzt9OAAAIIaC\nwGrnrhnt3DWjvr60Ng33a/PwgDIZht1As+I2/k36+L8TRUteORGpVp20ceusNe3qtHHND/QyY4zG\nJ6vrUo5PlliXEgAALFux6OuRRye1bfuk1q3JadPGAQ0P9cllJ0tgSXEd/yZ9/N/uoiUFS0TCsYFq\np2jUJ21cO2tNqztt3PMDPcVaTc2UNTJa0Oh4XkFAXwMAACtnrTQxVdLEVEkPeI6GN1RnXa4dzHLJ\nOLCAuI9/kz7+b2fRkoIlIuEolOeFqp1SUZ20ce+sNa3qtN2SH+h2xZJfXZdyNK9yOez04QAAgB4U\nhla7RvLaNZJXNutp8/CANg0PKJdLd/rQgFjolvFv0sf/i+XPRlxhpGCJSDiOlHJC9WeNpsvVN9yp\noitrfPVlVrZzbrHizrZV7aBrsr5yKSMb0414cynJZsPezG8dWWNkw4rC8kRTD3X9QsPbQ6e59oCo\nBEGoiamSxieKKpQCSZKjal8GAABoqVAa2TWtkV3SQH9a69f1aWhtTh6XjCMuwtISt1eaas6Gnqxx\nJOvKmmCf22M1/l2Gnh7/L8NC+QezgaKcN86wDJFwXUnWKOsWZdNpzVT6JEnTJVfWlJVLNbeTbimo\ntVGd6TSYKSrr+lrgdS1Wsq56Mr81A7ImkPGnVZl+qKnHZsKZhrdXyku8EQIRstaqXAlVLPmqVKr9\nKycpl+vscQEAgAQzUmFcKk44ymY89eXSymS8pR8HtJJdYvDpNFdOMn5G1jiyJiUT7D2pJW7j3+Xq\n1fH/cs3PP1NyJSe61y4KlohcrXPWT9rZ35fbafd01qrBTLHpDt9JSc8PxFGlEqpYDlQuB7I2fpdV\nAAAAWGtVKgcqlQO5rqO+XFq5XEopZl2ih3X7+Dfp4//5+QObiaxtCpaIhDGS57hyU/2SpP6U5Lh7\nLg+f8QfluEtPjy5WXM34adXmEa/J+urLpCV117ouvZbfcVNyXFdueo0ya7Y09dhKZWfD2zOZ/VZx\nZMAirFWxHGh8sqiJyZL8IKbXUgAAACxmdhJafy6l9ev7tH5tTp7HzEu0yVKXhHvNXaLkptfIcTPV\nceVs3SCu499m9dr4v1l78qdkFd3kEAqWiER1wpIjx93zBtqfmz1pZxdinSln5LiLLxpbrDiaKXv1\nNQ+qC8y6krrzG8Weyu+4clxHjpeRlx1q6qHGTjW8vdn2gEbK5UC7x/IaGS2qUKx9M8n13gAAoHuV\nZqSxmVCOm9eGdX3atHFA69f1yWGXcbRS0HgvAs0WHZfL8TLVeoHjyHFT8R7/rkBPjf9XoD8nWRmV\n/ehelyhYoqWWu3tWt+yG1ayk5wfaIQhCjY4XtXs0r8npcqcPBwAAoCWskUbHixodLyqdcrVxuF+b\nhwc00J+p7oIKdIleHf8mffzflzFyFd2VbRQs0XJLddpe7aw1Sc8PtII1VuNTRY2MFjQ+UZQx9BkA\nAJAcfmC04/EZ7Xh8Rv39aW0aHtCmDf3KZBjiI97CUD09/k36+N+d3TgoCryaoS0W67R7fq7qtc5a\nk/T8QCSs1XS+rJHRgnaPFRSwLiUAAIAKBV8PFyb0yKMTGlqb06aNA9ow1CfX7c5LS9G7QiNVQlcZ\nrzrm7dXxL+P/aFCwRNss3Gn36PXOmvT8wEqVSr5GRvMaGS2oVA46fTgAAACxZK00PlnS+GRJqZSj\n4fUD2ryxX2sGslwyjljwwz3nYa+Pfxn/rx4FS7TV/E5bk5TOmvT8wHL5QajdYwXtHs1reqbS6cMB\nAADoKkFg9fjIjB4fmVFfLlW9ZHx4QNksJQB0XlLGv4z/V4dXKwBALBhjNDZR1MhoXhOTJVnewwEA\nAFatWAr0yPZJPbJ9UuvWZrV5eEAb1vfL87hkHEB8UbBEW81fYLZmsd2zek3S8wP7sFaT02WNjOY1\nOl5QGNIHAAAAWmVyqqzJqbK8h8e1YUN1l/F1a7hkHO2VlPEv4//VoWCJtlloNyxJi+6e1WuSnh+Y\nq1CoVNelHCuoUoluJzkAAAAsLTRWI7vzGtmdVzbjadPGAW0eHlAul+70oaGHpT2r4uzPvT7+Zfy/\nehQs0RYLddY9HXPf3bN6rdMmPT8gSZVKoJHZdSnzBb/ThwMAAABJ5UqoRx+b0qOPTWnNYEabhwc0\nvKFfqdS+M8OA1fBcKeMZSdUZvb06/mX8Hw0Klmi5xp11sd2zeqfTJj0/ki0MjUbHCxoZzWtqusy6\nlAAAADE2PVPR9ExFD26b0PqhPm0eHtDQupwcLhlHRDxP6s/07vg36eN/o+i+6KBgiZZaqrPW9Gqn\nTXp+JJO1VhOTRY2MFjQ2UZQxnMcAAADdxBir0bGCRscKSmdcbdpQvWS8vz/T6UNDD+jV8W/Sx//F\nikvBEvFT/cLNypqg/nfFiqvpclpStdOtyfrKpYysWbiNXEqy2XD2MdJU0ZU1vvoyizwg5noqv3Vk\njZENKwrLE0091PULDW8PnebaQ0xZq0LJ1/hkURNTJQVB9bzPuJLYgBIAAKB7GWls94zGdkt9uZQ2\nDPVpaF1OKY9LxntaWFri9kpTzdnQkzWOZF1ZE8R7/LsCPTX+X4FixdVMOaVa/ihQsEQkXFeSNTJB\ndQndUpDWTKVPUnVh2cFMUVnX15x65oKyrmTTtcdK0yVX1pSVS3XXene9lt+aAVkTyPjTqkw/1NRj\nM+FMw9sr5SXeCBFrYWhVLPsqlQKFYfXNdW1KvLsAAAD0qOJE9Vc2k1KuL6VsxpMjLhnvOXaJwavT\n3Ad+42dkjSNrUjJBdVJLXMe/zeq18X+z5uZ3mGGJONtzslYNZopNdbjafWtt1H7vlk6b9PzofdZa\nFcuBSqVAvs8O3wAAAElUrgQqVwI5rqNcNqW+XEppNupBk7p9/Jv08f/8/CmnuZm3jVCwRCSMkTzH\nVdkMasZP1zb90pqsr75MWlK6qfb6U5Ljmvr06Bl/UI4b/+nRxYrbk/kdNyXHdeWm1yizZktTj61U\ndja8PZPZbxVHhnYx1mhquqKJyaKmZtg8BwAAAHPMrgKVzaa0YV1O69f1KZ2meNnVlrok3Ms11Zyb\nXiPHzVTHlan+vW6L2/h3uXp1/L9c8/MPZiuamoluQgsFS0TCWimwnmbKqfrFANUFZle+gF1/brbT\nzi5EO1POyHHjuxBtseJopuz1Zn7HleM6cryMvOxQUw81dqrh7c22hzayVlMzZY2MFjQ6np9dl9KT\n1L/UIwEAAJBApUCazBs9tCOvdWtz2jQ8oOH1fXJdFjXvOkHjvQiUam5M4HgZOa4nOY4cd99SVKzG\nv8vQ0+P/ZVgofzblaDLC56BgiUhYeQpCT5nZM2qx3bCa1S27Zy13N7BmdUt+9JZCsaKR0YJ2j+ZV\nrnDJNwAAAJpjrTQxWdLEZEkPeI42bujXpuEBrR3M1nZsBfbRLePfpI//F8tvIp4QSsGyCUEQyPM8\nORG+wBaLRYXh0gWBdDqtbDa77HZbcayN2DkL7kbVWWvi3mlb9WJVE/f86A2VSqDdYwWNjOaVL3TH\neikAAACIvzC0enwkr8dH8splPW3aOKBNGwaVy1GOwL7iPv5N+vi/1fnnYl72En73u9/pHe94hw48\n8EBls1nlcjkdddRR+uQnP6l8Pr/q9k844QStWbNmyV/nnXdex491OVp1svZlrNb07SnsThc9FSud\n/2auXZ01rvnR3cLQaGQ0r7vu26Wbb3tMD22boFgJAACAlimVQ23bPqX/uf0x3XHP49q1e0ZhGO91\n+tB+cR3/Jn38385ipcQMy4b+8z//U2eddZYKheraDZ7nqVKp6K677tJHP/pRXXbZZfrpT3+qgw46\naNXPlUqlGs6gzOUaL2jbzmNdTMoL1ZdpWfOx+6ah3Z01bvnRnay1mpgqafdoXqPjRRnD+QMAAID2\nm5oua2q6rAceHtfw+j5tGh7Q0Nocl4xDUvzGv0kf/7c7v8QMy0Xdeuutestb3qJCoaDDDz9c1157\nrcrlsmZmZnThhRcql8vp97//vU499VRVKqvftv3MM8/UzMzMor8uueSS2BzrQhwbKOW0/puxuHzT\n0InOKsUnP7qMtZrJl/XgI+O66dbtuvu+EY2MFihWAgAAoOOMsRoZLeiu+0Z0022P6eFHJ1QscdUP\n4jP+Tfr4v1P5KVgu4i/+4i9UKpW0bt06/fSnP9ULXvACeZ6ngYEB/fEf/7G+8pWvSJLuuOMOXXTR\nRYk/Vkft25ij0522U521ptP50T3K5UCPPjapW+7cqdvuelw7Hp+W73PJDQAAAOKpUgm1fceUbrl9\nh267e6d27ppWELAJZJJ1evyb9PF/J/NTsFzA7373O/3kJz+RJL3rXe/SE5/4xH3uc8YZZ+ioo46S\nJH3xi19s6/HN1U3HGqVOddpOv1jVdPpFC/EVBKEeH5nRHfc8rptve0yPbJ9Uscg31AAAAOguMzMV\nPfDwuG669THd+/sRjU0UZC1XCCUR4/9k5qdguYArrrii/vNpp5226P1qt91333265557Wn1YC+qm\nY41auzttpzvrfO3Oz1rY8WWM0eh4Qff+fkQ33fqY7n9oTFPT5U4fFgAAALBqxliNjhd1z+9266Zb\nt+vBR8aVL7RmqTPEF+P/5OVn050F3HzzzZKqG90ce+yxi97v2c9+9l6PecpTnrLq5w6CQI7jyPO8\npe+szh5rHLRrIdo4dNaFtCt/GEoSMzhjxVpNzZQ1MlrQ6HheQdD58xEAAABoJd832vH4tHY8Pq2B\n/rQ2DQ9o43C/MmlKG0nA+D9Z+enVC7j33nslSQcddFDDwuGWLVvqP6921uJ//dd/6aCDDtKjjz4q\nSdq4caOe/exn661vfate//rXL3ocnTjWuGl1p41LZ11MO/JXQld9HlMs46BY8jUymtfIaF7lMuv5\nAAAAIJnyBV/5woQefnRCQ+ty2jQ8oA1DfXJdLiTtZYz/k5OfguUCdu/eLUnatGlTw/tt3ry5/vPo\n6OiqnnPHjh2SpEwmo0qlopGREV111VW66qqr9LznPU/f/va39YQnPKEjxzo+Pr7obRMTE0211Sqt\n6rRx6qyNtCs/OsP3A+0eK2hkNK+ZPOtRAgAAADXWSuMTJY1PlJRKORpeP6DNG/u1ZiArOVwl1osY\n/ycjPwXLBeTzeUlSX19fw/vNvX1mZmZFz3XMMcfo3HPP1UknnaQtW7Zow4YNyufz+tnPfqZPfepT\nuv766/Wzn/1Mr3jFK3TDDTcom822/Vg3bNiw5H2q7wNW1gRNtR2lXEqy2VDT5bQkaaroyhpffZmV\nzQwsVtzZtqoddE3WVy5lZGM60bDV+VNuKBtWFJYnmmrH9QsNbw+d5tpLCmONJqfLmpgoanqmotrb\nRI5XbQAAAGBRk+N5TY5L2Yyn9ev6tH6oT5k0kzCaFpaWuL25dURt6MkaR7JuJHUDxv/xy2+tiXQh\nOYa+DSy1A9nc250VfnPz9a9/fZ+/GxgY0Mtf/nK99KUv1TnnnKPLLrtMt9xyi774xS/qz/7szzp2\nrI24riRrZIJi5G03I+tKNp3WTKVaoJ0uubKmrFyquVlppaDWRvWS28FMUVnXVwfrscvSqvxp18q1\nFRl/WpXph5pqKxM2LpBXyku8ESZMxQ9VLAUqlwNZa5WStD7X6aMCAAAAuk9lWnp8WspkPPVlU8pm\nUy0ZD/cku8Tg12munGT8jKxxZE1KJmg8qWW5GP/HK7+VletGN3hNzOIOvu9rZmZmwV+l0t4Fk8HB\nQUlSsdi4+Db39tpjouS6rr7whS9oaGhIknT55Zfvc592HOvY2Niivx544IGm2mqHXMrXYGZP3plK\nn0pBetmP39NZqwYzxaY7fCe1Ir/nxPRrpR4RBEbT+bJGRvManyiqVPKX/BICAAAAwPJUKqEmp6sb\nVk5Nl+X7rAXfKxj/927+xMyw/NKXvqT3vOc9C972mte8RldccUX9z5s3b9a2bdv0+OOPN2xz586d\n9Z+XWkNypdasWaOTTjpJV1xxhW677TYZY/ZaRLgdx7p+/fol72OM5Dmu3FR/U223Sn9KclxTnx49\n4w/KcZeeHl2suJrx0/UNsddkffVl0pKW3+HjIOr8pTAlx3Xlptcos2ZLU8dSqexseHsms19T7fWK\nih9qYrKo8amSSqWYf3UHAAAA9IrZ2k4m7Wr9UJ/Wr+tTNpOY0sjyLXVJuNfcTDo3vUaOm6mOKyOu\nGzD+j0d+Y42MiW7iTWJ6ZSaT0cDAwIK3zV//8SlPeYpuvvlmbdu2Tb7vK51e+H/W3NmFRx55ZHQH\nO0+twBiGoWZmZrR27drYHWt1Mpgjx43P2iD9udlOO7to7Ew5I8ddfNHYYsXRTNmrr7lQXWDWVbdO\nRI40v+PKcR05XkZedqip4zB2quHtzbbXzcLAaHSiunnO1HR5tt9kZn8BAAAAaJdSIE0VrR7eUdCa\nwYw2bxzU8Po+pVLxGdN21FKXbTdZdHS8TLVe4Dhy3OhLUYz/O5/fMUZW0c3O7M7/Eyvwjne8Y9FL\nwr/xjW/sdd9nPvOZkqRKpaKbb7550TZ/+ctf1n8+4YQTWnPg2rODeCqV0po1a/a6LW7HGjd9Gas1\nfXum+08XPRUr+65ZErfdsKKS9PxxYI3V2ERB996/W7+5dbt+/+CYJqdqxUoAAAAAnTY9U9H9D43p\nplsf033379b4ZJElmrpQ0se/vZY/MQXLZrz2ta+t//zNb35zwftYa/Vv//Zvkqo7fR988MEtOZbR\n0VFde+21kqTjjjtunwWC43SscbVUp+2WzrpSSc/fEdZqeqakBx4e0023btc9v9ut0bFCpNPjAQAA\nAETLGKvdYwXdfd+Ibr7tMT20bVyFQnO7YaOzkj7+7aX8FCwXcNBBB9ULgV/+8pd177337nOff/mX\nf9H9998vSfrTP/3TBdspFAqamZlRPp9f0XFUKhWdd955mpmp7rJ8zjnntOxYe91inbabOutqJD1/\nu5RKvrY9NqH/uWOHbr97l3bumpEfsGERAAAA0G0qlVCP7ZzWb+/cqVvv3KEdj08pCNispxskffzb\nK/kTs4Zlsz796U/rmmuu0eTkpE4++WR99rOf1UknnaR8Pq//9//+nz75yU9Kkp773Ofq7LPPXrCN\nZzzjGbr33nu1bt06TUxM7HP7eeedp927d+tVr3qVjjzySO23334aHh7W2NiYfv7zn+szn/mMbr/9\ndknSC17wAm3durVlx5oE1Y4Y1jvo3I4qxb+zrlbS87dKEIQaGSto92he0zN8+woAAAD0mnzB14OP\nTOihbRNaP9SnTcMD2rCuT4677+W2iIekj397IT8Fy0UceuihuuKKK3Taaadpx44dOv300/e5zwkn\nnKArrrhCnreyRXkLhYKuvPJKXXnllQ3v9+Y3v1lf/vKXF32edhxrr5jfaWu6obNGIen5o2KM0dhE\nUSOjeU1MlliPEgAAAEgAa6Wx8aLGxotKp1xtHO7XpuEBDfZnJIfiZdwkffzb7fkpWDZw0kkn6Y47\n7tAXvvAF/eAHP9C2bduUzWZ1+OGH681vfrPOPfdcpVKL/xMODAxoYGBAg4ODC95+6aWX6uyzz9aP\nfvQj3XLLLdqxY4d2796tvr4+PfGJT9Szn/1svfWtb9Xxxx/f8mMFsARrNTVd1shYXrvHCgrD+L/A\nAwAAAGgNPzDa8fiMdjw+o76+tDZvHNCmDf3KZBh3A1FwLFtfYRXGx8e1YcMG/Z///SfK5NZo47p4\nL4s6f82GubrlW4bVWGn+0RlPubTV5nWBnn9ksann3FZ6pOHtT8od1FR77VYoVOqXfJcrrFkDAAAA\nYGGOI61bm9OmjQMaHuqT68Z7fNxQUGh8e6q/qeauv7tPuyZTKvmOhgfbM65i/N/e/MYY7Rzz9eGP\n/4PGxsa0fv36VbVH6R+JsdACs5LmrenQuy9aSc/fjEolqBcp8wW/04cDAAAAoAtYK01MljQxWdID\nnqONGwa0abhfawezXDLeZkkf//ZCfgqWSITGu2HNX4g23p12JZKefznC0GhsvKCR0YImp1mXEgAA\nAMDKhaHV4yMzenxkRrlcSpuGB7R5eEDZLGWYVkv6+LdX8tNT0PMad9bFds+Kb6dtVtLzN2Kt1cRk\nSSOjeY1NFGVM72cGAAAA0F6lUqBt2ye1bfuk1q3JVi8ZX98vz+viS8ZjKunj317KT8ESPW2pzlrT\nTZ22GUnPvyBrNZOv1DfP8X3T6SMCAAAAkBCT02VNTpf1wMPjGl7fp80bB7VuDZeMRyHp499ey0/B\nEpGovrZaWRN0+lDqihVX0+W0pGqnW5P1lUsZ2UXqU7mUZLPh7GOkqaIra3z1ZbqzoBVpfuvIGiMb\nVhSWJ5o6DtdvvFhz6DTX3kpV/FDjE0WNTxbrm+d4kjxeBQEAAAB0wPRkXtOTu5VJuRoa6tOGoT5l\n47LLeFha4vZKU83Z0JM1jmTdltQNGP93Pr+1RlGW3WPSE9DtXFeSNTJBcztIt0opSGum0iepWpga\nzBSVdX0t9bqYdSWbrj1Wmi65sqasXKq7Nl6JOr81jqwJZPxpVaYfaupYMuFMw9sr5SXeCFfBWqti\nOVCpFMj3q/8WA640kGvZUwIAAABA04IZadeMlE57yuVS6sum5HRy1qVdYvDoNFdOMn5mdlyZkllq\nB/ImMf6PR34rK9eNbrBNwRI9Z09nrRrMFJvqcLX71tqo/d4tL1qtyR+vqeGNWFmVy6FK5UDlStBN\nhw4AAAAg4Xw/lO+HmpmpKJPx1JdLxWfWZQwx/u/d/Jz1iIQxkue4clP9HT2OYsXVjJ9WbR7ymqyv\nvkxaUrqpdvpTkuOa+vToGX9Qjhv/6eGtyu+HjozjyE2vUWbNlqbaqlR2Nrw9k9mvqfYWZK3yxYrG\nJ0uamCopDKlSAgAAAOhyRUmTUirlaP26Pm1Y16dcrrmx3YotdUm419xMOje9Ro6bkeNGVzdg/B+v\n/MaaSDeypWCJSFgrSY4c11vqri1TrDiaKXv1NROqC8y6kla281p/brbTzi5EO1POyHHjtxBtTWvz\nOwqMJ8fLyMsONdWOsVMNb2+2vbmKxYpGRgsaGSuoXA5VfaXuW+phAAAAANA9AmmmJG17vKiB/kCb\nhge0abhf6XQLSzpLXbbdZNHR8TLVeoHjyHFXf9yM/+OX3zFGVtHNzKRgiZ6w3N2wmtUtu2e1Ov/o\nTHxeKip+oNGxgnbtzitf6Pw0dQAAAABol3zBV74woYcfndDQupw2Dw9q/VBOrruyQlU3YvyfjPzx\nqUIAK9SqzloTt047XzvyZ7zOToU3odHoRFEjo3lNTpVmZ/QCAAAAQDJZK41PlDQ+UVIq5WjjhgFt\nHh7Q4EBG6uRmPS3G+D85+SlYoqu1urPWxKnTztWu/J4npb32ZrXWanKqpJHRvMbGiwojXAsDAAAA\nAHpFEFjt3DWjnbtm1JdLadPGavEy02Ob9TD+T1b+3jp7kSjt6qw1cem0Ne3O77XjCgNrlS9UNDJW\n0MhYXn4l3oscAwAAAECcFEuBHnl0Utu2T2rdmpw2bRzQ8FCf3LYM6FqH8X/y8lOwRFdqd2etiUOn\nlTqXv1XK5UAjY3mNjBZULLIuJQAAAACshrXSxFRJE1MlPeA5Gt7Qr83DA1o7mO26S8YZ/yczPwVL\nRMKqfbuDd7pY1+lO2+n8UQmNUb7g646HHtfUdLnThwMAAAAAPSkMrXaN5LVrJK9s1tPm4QFtGh5Q\nLpfu9KEtqdPj36SP/zuZn4IlImGdlALb+inmne6sNZ3qtHHJv1JGVoWCr5l8WYVCICurzHS204cF\nAAAAAIlQLofa9tiUtj02pbVrsto0PKCN6/vlpeJ3yXhcxr9JH/93Kj8FS0QmCD0VK6ZlJ21cOmtN\nuztt3PIvl5VVqRxoJl/RTL4iw+Y5AAAAANBxU9NlTU2X9eAj49ow1KfNGwc0tDYXi0vG4zb+Tfr4\nvxNFSwqWiFSrTtq4ddaadnXauOZvpFTyNTKa1yOlSQUBm+cAAAAAQBwZY7V7rKDdYwVlMp42DQ9o\n85Cjvg5dMh7X8W/Sx//tLlpSsEQkHBuodopGfdLGtbPWtLrTxj3/XL4faPd4USOjec3MVCRJwVqK\nlQAAAADQDSqVUNt3TGnk8bIG+tMaXt+vDUP9SrXpkvG4j3+TPv5vZ9GSgiUi4SiU54WqnVJRnbRx\n76w1req03ZDfGKOxiWqRcmKyJBuvwwMAAAAArEC+4CtfmNS2x6Y0tDar4Q0DWrcmK6dFl4x3w/hX\nSvb4X1o8fzbiCiMFS0TCcaSUE6o/azRdrk4bnyq6ssZXX2ZlM+yKFXe2rWoHXZP1lUsZ2ZhO2Mul\nJJsNezO/dWSNkQ0rCssTkrWaKVQ0PlnS5FRJ4ey6lNkFNov3nMY7gKdThRYcMAAAAABgpdJOZa8/\nF2YKKsyM6zHP1bq1Oa1bt7Z6yfgyi5c29GSNI1lX1gT73B6r8e8y9PT4fxkWyj+YDRRlKZuCJSLh\nupKsUdYtyqbTmqn0SZKmS66sKSuX8ptqrxTU2gglSYOZorKurwVe12Il66on81szIGsCBeUpje68\nV6VSUN88Z12m8WNDr3HB0ss1928DAAAAAGgt1wkXvS0sSrsLO5VKucrl0urLpuS6jUtVxs/IGkfW\npGSCvSetxG38u1y9Ov5frvn5Z0qu5Cwwi2mFKFgicrXOWT9pZ39fbqfd01mrBjPFpjt8J/VafivJ\nWikIjErlQIVC9/y/AAAAAAC0RhAYzcyUNTNTVjbjKZdLK5v15DQxzy5u499m9dr4v1nz8wd2iRlN\nTaBgiUgYI3mOKzfVL0nqT0mOu+fy8Bl/UI679PToYsXVjJ9W7fVtTdZXXyYtqTO7k61Ut+e31soP\njPwgVBgYBcaRHE/lMKex0sam2vK9yYa3p0vrVnOoAAAAAICIzb8kfD5/fmGqJGlK8jxHQ2tzWj+U\n00AuU79k3E2vkeNm5Lh76gZxGf+uVreP/1drT/6UrKJbc5OCJSJR3WjFkePumf7bn5s9aWcXYp0p\nZ+S4iy8aW6w4mil79e9iqgvMupLasxtZ1Lotv5UU+KHKfijfN7LWqvrK6claR0auQpNSKehvqt2K\nLTW8PWyyPQAAAABAaxm38aW9FZNd+IZAyo9I20fK6suF2jQ8oE3DA3K8TLVe4Dhy3FTHx79R67bx\nf9T6c5KVUdmPbhVLCpZoqeXuntUtu2E1qxvyB6FRuRLKr4QybPENAAAAAIhAsRToke2TemT7pMaD\ng+SHA5L1GP/3bH4jV9HtEkTBEi23VKft1c5aE8f8obGqVEJV/FBhGNNtxwAAAAAAPaFSCVUOAgXW\nUdl35LpWruMw/u+x/K4W36ypWRQs0RaLddo9P1f1WmetiUN+Y6WKH6pSCRQEFCkBAAAAAO1j5Si0\nrlwZmdAq61Uk4yg0nrwldhnvJnEY//cCCpZom4U77R693lk7kd9K8v1QlUooPwjFFd8AAAAAgE4w\nds/6jBmnIk+BiiWpWPKVSrnKZlJKpz31Qu0y6fWPKFCwRFvN77Q1Sems7crvB2Z2NmU4u3kOAAAA\nAACdl3EqSrnBXn8XBEZBUJHjOEqnXWXTKaXSrrq5dpn0+sdqUbAEekQYWpVnL/k2hhc/AAAAAEB3\nsXZ2v4VKKNd1lEl7ymZS8rxuLl1iJShYoq3mLzBbs9juWb0m6vzG2PpMyoDNcwAAAAAAMVexGclo\nn1mW8xljVSoHKpUDpTxXmYynTMaT63RH8TLp9Y/VomCJtlloNyxJi+6e1Wuiym/rm+eECkLWpQQA\nAAAAxJ/rmOpGC1p+0bImCI2Copld79JTNuMpnfZie8l40usfUaBgibZYqLPu6Zj77p7Va512tfmt\nqmt6VCqBKr5hXUoAAAAAQFdxZOVqz5WBzRYtpeoEHt8P5fuhHMdRJlMtXqY8d+kHt0nS6x9RoWCJ\nlmvcWRfbPat3Ou1q8gehqa7f4YesSwkAAAAA6GquY5RygmqxUisrWtZYa1UuByqXA3meq2zGUybt\nye3gNuNJr38Y7XsJ/EpRsERLLdVZa3q1064kv5XVRN5VvliWa/02Hi0AAAAAAK2VcgPJKJKiZU0Y\nGhVql4x7Xn29y3aWLql/uBQsET/VNW+trNnzAlOsuJoup1VbpGJN1lcuZWQX2Rsml5JsNpx9jDRV\ndGWNr75Md24m00x+a61cGyolV8Wg+qJdNill3VBpt/NFS8exch0jzw2USxWaeqznlBvenm6yPQAA\nAABAa6WdSsPbXTdsqj3PDeQ6RkauPCeU54VyjVHZZCVJvk3LtSaS8a8JQ5WKUrnkKJV2lU55SnmO\n1MLyJfUPVzPllOqLlEaAgiUi4bqSrJEJipKkUpDWTKVPUvVFbDBTVNb1ZZb4wiTrSjZde6w0XXJl\nTVm5VOeLds1Ybn5jrEJjZy/3tsp5kquMimG/pOqLdkq+Ml7jN4tWc01Onhsq65W0Ibe7qceGXuOC\npZfrrv+3AAAAANDrXKdxQdLY5mbS7Sjur2LYJ2NcpWfHt2mvolTot3b8G0p+KAWOI9d15Lmuot5k\nnPrHnvwOMywRZ3tO1qrBTLGpDle7b62N2u/d0mmXym9stUAZhtUi5Xy1F+fai3bt904XLQEAAAAA\niFK7xr/WVsfgYWjkOo5cz5UXwVqX1D/2zp9aYmZuMyhYIhLGSJ7jqmwGNeOn6zOt12R99WXSktJN\ntdefkhzX1KdHz/iDctz4T48uVtwF8xvjyQ+MKn4ou4zNcxxJacevT4/PB4MKTLljl4cb6yo0nsph\nTmOljU091vcmG96eLq1bzaEBAAAAACK21CXh/uz6k8tVDnMKjSdjXfnh3o/tyPg3kOQ4SqdmLxlP\nNX/J+GLj/6TWPwazFU3NNLdUQCMULBEJa6XAepopp+pdvLrArCvJXVGb/bnZTju7EO1MOSPHje9C\ntMWKo5nynkV9B3KBXBlNF0IFQe2FZvn/Fq5jlHb8+kLEJZOTse6qFiJeKWsdGbkKTUqloL+px1Zs\nqeHtYZPtAQAAAABay7iNL+2tzBYXlys0KRnrylpH4QKXk3dk/GulsCKVKqFc11Emk1I27cnzli5c\nzh//J73+saYvVDblqPF0peZQsEQkrDwFoafM7Bm12G5YzeqW3bNqu4FZVaeap92KKqWK7CoPsxW7\npwEAAAAAEDedHP8aY1Uq+SqVfKVSrjKZlDJpTwtdNb7c3cCb1W31j5pafhPxhFAKloiEdfacSlF1\n1pq4d9pixdFkwZUxplqsdCpyFES2NxZFSwAAAABAEsRh/BsERkFQUdGR0ilPmYyndLo6m7BVxcqa\nbqh/tDL/XBQsEalWnaxx7LRBaDVTsMpXPFlVv0rIOJWWvJDG4UUbAAAAAIBWi8v411qp4oeq+NVL\nxuVkVDbpeZeBJ6P+IbW3WClRsESEUl6ovubW3W1KHDqtMVYVP1S5Eqrsu/UXUKl1xcqauLxoAwAA\nAADQSnEb/1YCTxXrSTJyHEeD2UDZdPMb9SxXHOofc7W7WClRsEREHBso5RitdIHZ5epEpzVW8v1Q\nlUooP6jueBWYVFuLlTVxe9EGAAAAAKAV4jL+nT/+T6us0A80OSWlUp6ycy4Zj1JcipadKFZKFCwR\nEUfRbV2/lHZ0WqvZIqUfyvera1PWdKpYWROXF20AAAAAAFqp0+PfRuN/Ozu5yfdDOY6jTKZavEx5\n0U3k6nTRslPFSomCJbpUqzptEBqVK9XZlHaBLb47Xays6fSLNgAAAAAA7dCp8W8z439rrcrlQOVy\nIM9zlUlXi5fuQtuMN6lTRctOFislCpboYlF12tBYVWaLlKExi94vLsXKmna/aNsWrc0BAAAAAEAj\n7R7/rmb8H4ZGxdCoVPaV8qq7jGfSnpxVDKnbXbTsdLFSomCJLrfSTmtqu31VAgXB4kXKmrgVK2va\n9aJtbGvXJgUAAAAAoJF2jX+jGv9bK/lBdS+MguMok64WL9OplY2v21W0jEOxUqJgiR6w3E5bW5ey\nXAkVBKEWuOJ7QXEtVta0+kU7MCkZuXK1dGEXAAAAAIBWacf4txXjf2utypVA5Uog13WUzaSUyXjy\nmrxkvNVFy7gUKyUKlugRjTqtH5jqJd/+wutSNhL3YmVNq1605+cHAAAAAKCT2jX+bdX43xirYslX\nseQrlXKVzaSUTntabu2yVUXLOBUrJQqWiEh1LQYrazpXzMulJJsNNV1OS9ZqIi8VimWl5EuSXEnN\nLMPom7R8m5ajagfNumWlXT/6A4+I54VyjVHZZCVJvk3LtWbFxzw/v+eE8txAuVShueNyyg1vTzfZ\nHgAAAACgtdJOpeHtrhs21Z7nBnIdIyNXntPcYxdsr8Xj33aN/20YqlT0VSo5SqVcZVKevJQjZ4ni\nxV71D0lTRVfW+OrLrOzKyGLFnW2rmn9N1lcuZWSbaM5aE+nOFxQsEQnXlWSNTFDs2DFYSSlrlXVS\nKoZ9kqRKmJbn+cp4jV9s56uEmeoLnlPtnX1eoek2OiHtVZQKfRXDfknVF+2UVp/fdYzSnq+sV9KG\n3O6m2gq9xgVLLxffIjAAAAAAJJG7RFHRWK/h7fPtKO6vYtgnY1ylIxpbt2r827Hxv5H8ihRUHLme\nI8915DTYqSfrSjad1kylWv+YLrmypqxcqrkxdimotVH9fz6YKSrr+mp2PpqVlevmmntQAxQs0fVC\nY2WMkTHVbwIybih5tv6iVft9uS84lTBTf4zUPcXKmtqxRpm/bKJ70QEAAAAAIAqtGP92evxvZRWG\nVmEoOY4jz3XlegvPuawVJ2tFy9rvyy1a7ilWVg1mik0XPFuFgiUiYYzkOa7cVP/Sd14lK6swMKoE\nprrDt7WS9v52x5GUdvz69PB8MKjALD2l2zfp+mOk6jRwR5Ifdtc6jlHnN9ZVaDyVw5zGShubOhbf\nm2x4e7q0rqn2AAAAAACttdQl4X6Tex2Uw5xC48lYN/LxdVLG/6mUp3TaVSrl7nXJeH9KclxTvzx8\nxh+U4y59eXix4mrGT9eXzluT9dWXSUtKr+j4jN0zkSwKFCwRiepeNo4ct7lp4c0IwtnNcyqhTH3z\nHHfR+7uOUdrx64vmlkxOxrqLLpq70AK7rmMUNjnVPS6izG+tIyNXoUmpFDRXlK7YUsPbwybbAwAA\nAAC0lllibF+ZU+hbjtCkZKwra52WjLGTMP4PfansG7mOVSbjKZPxlPKqNZH+3GzRcnbTnJlyRo67\n+KY5xYqjmbJXL3tWN9hx1ajGshTHGFlFNzuTgiViLTS2vsN3GDa/eOxydw/rlt3Am5X0/AAAAACA\nZEjK+NdYq1I5UKkcyPNcZTOeMmlPfRlpObuHx2038MVQsETsGCtV/FCVSlC95HuVlnrR6vYXq6Uk\nPT8AAAAAIBmSNv4NQ6NC0ahY8pVKVWddDvZJM4sULbulWClRsERMWEm+X73c2w9C2Yj7y2IvWvWf\nZ3X7i9Vikp4fAAAAAJAMSRz/Wlutqfh+KMfxlXYzKodpuY5TL1pK6ppipUTBEh3mB2Z2NmUoG3WV\ncp4FX7Tm6KUXq4UkPT8AAAAAIBmSPP611kphWa4J5Ssr13E0Vdx7o564FyslCpbogDC0Ks9e8h3l\nDlLLMf9Fq6aXX6zmSnp+AAAAAEAyJH38W89vMgqN5DqOXNfR2j4T+2KlRMESbWKMrc+kDFaweQ4A\nAAAAAABWxlgrE1rlCxXZ0CqTSSmdWvmu4K1GwRItY2ub5/ihghasS7kS8xfYrVls97Bek/T8AAAA\nAIBkSPr4d7H8ZZORLVVUrpTluo4ymZSyGU+e6yzQSudQsESkrKQgMKpUAlV80/J1KZux0G5g0uK7\nh/WapOcHAAAAACRD0se/y86vQKWSr1LJVyrlKpNJKZP2FIfaJQVLRMZYq8mpUtvXpVyOhTpr/YVp\ngd3Deu1FK+n5AQAAAADJkPTx70rzB4FREFRUdByl066yaU+ptKdO1S4pWCIyxlgZdVmxUovsHtZD\nL1pJzw8AAAAASIakj3+jyG+tVaVS3YPEdR1l0p6ymZQ8r72lSwqW6GlLddaaXn3RSnp+AAAAAEAy\nJH3824r8xliVyoFK5UApz1Um4ymT8eQ6rS9eUrBEJByn+stzwk4fSp1v0vJtWs7srM+sW1ba9Re9\nv+eFco1R2WSrj7dpudY0fEycRZnfcaxcx8hzA+VShaaOI1fINb5Dk+0BAAAAADor5zY3jvPcQK5j\nZOS2pG7A+L/1+a0JVS75KpekVMpVOu0plXLlzF40bq2J9PJxCpaIhOtKjozSXqXThyJJqoSZaodz\njCSpzysos4xjS3sVpUJfxbBfUrXTpuQv67FxEnX+arEyVNYraUNud0uPHQAAAADQW3YU91cx7JMx\nbuR1A8b/HchvpaAiBRVHnufIdatlS9ddYsJSEyhYoudUwky9w0nL76w1tfvW2qj93i0vWq3KDwAA\nAABAnDD+73R+qzC0CkNFvjkPBUtEwhjJ9Vz5YWbpO7eQb9L1Kc1SdRq0IzV9XI6ktOPX28oHgwpM\n4ynVcdCq/KH15MqoHOY0VtoY4REDAAAAAHpdOcwpNJ6Mja5uwPg/XvmtrIxp6iENUbBEJKyt/gqt\n17FjWGiBWdcxKz4m1zFKO369zZLJyVg3tgvxtjp/aD2FJqVSwIxLAAAAAMDyhSYlY11Z60RSN2D8\nH7/81trZFTSj4UbYFtAxy90Nq1kpN1DG2TMVumIzCkz86vztyg8AAAAAQCcx/k9GfgqW6Hqt6qw1\nceu087Ujv6sI53UDAAAAALACjP+Tk5+CJbpaqztrTZw67Vztyu86pr7jGAAAAAAA7cb4P1n5KVii\na7Wrs9bEpdPWtDu/E+lqFAAAAAAALA/j/+Tl73yJOMbCMNQdd9yhX//61/r1r3+tHTt2SJJe9rKX\n6T3veU+kz2Wt1TXXXKPvf//7evTRR5XNZnXYYYfpTW96k4444oi2tdEt2t1Za1JuIBnVn7tiM5JR\n2xfi7VR+AAAAAADaifF/MvNTsFzEO9/5Tn3ta19TPp/f57b99tsv0ufavn273vKWt+j666/f57aP\nfexjet/73qdPf/rT8rzFd3uKoo3VsGrf7uCdLtZ1utN2Oj8AAAAAAO3Q6fFv0sf/ncxPwXIRd955\np0qlko4++mg985nP1NOf/nSdf/75kT/P1NSUXvayl+nOO+9UKpXS1q1b9YIXvED5fF5f+9rXdM01\n1+izn/2sisWiLrzwwpa1sVrWScm0YYWBTnfWmk512rjkBwAAAACgleIy/k36+L9T+SlYLuLLX/6y\n/uAP/kADAwOSpFKp1JKC5Sc+8QndeeedkqRvfetbev3rX1+/7dxzz9XWrVv1la98RRdddJFOP/10\nveAFL2hJG1EITVqBwpadtHHprDXt7rRxyw8AAAAAQCvEbfyb9PF/J4qWbLqziD/8wz+sFytbZXJy\nUl/84hclSa9//ev3KjRKkuM4+tznPqf169dLki644IKWtBGlVi3EGrfOWtOuhWjjmh8AAAAAgCjF\ndfyb9PF/uzfioWDZQd/73vdUKpUkSeedd96C9xkYGNCb3vQmSdK1116r0dHRyNuIgmP3dJ6oT9q4\ndtaaVnfauOcHAAAAACAKcR//Jn38386iJQXLDqptkOO6rk488cRF73fSSSdJkoIg0A033BB5G1Fw\nFMpz/fqfozpp495Za1rVabslPwAAAAAAq9Et49+kj//bVbRkDcsOuuuuuyRJBxxwgNauXbvo/Y44\n4oi9HvPKV74y0jai4DiS6xhlHF9lk5Uk+TYt1xql5xQym+GbtHybliMrScq65RW31Q6eF8o1pifz\nO46V6xh5bqBcqtCRYwAAAAAAdCfPDeQ6RkauPCfc5/Y4jX+Xo5fH/8uxUH7HCeVE+BwULDto+/bt\nkqrFxkYOPPDAfR4TZRtLGR8fX/S2iYkJSZLrSo6M+tN5pUJfxbBfUvWkTclXxqss2sZCKmGm2uEd\nI0nq8wpNt9EJaa/Sk/ldk5Pnhsp6JW3I7e7YcQAAAAAAus+O4v4qhn0yxlV63tg2buPf5erV8f9y\nzc8f2Iw0myEKFCw7aHp6WpKW3Nxn7u21x0TZxlI2bNjQ1P1rHat20tZ+X26Hq4SZ+mOk7umsNUnP\nDwAAAADAcnT7+Dfp4//5+YM5l7SvFgXLDvL96vTeVKrx/4Z0Ol3/uVLZ+8SNoo0oGCO5nis/rJ6c\njqT0nMvD88GgArP0lGbfpOuPkarToB2p3m636LX8xroKjadymNNYaWNHjwUAAAAA0F3KYU6h8WTs\nnrpBXMe/zeq18X+z5ua3s5e0R4GCZQf19/drcnJS5XK54f2KxWL95/kzKaNoYyljY2OL3jYxMaGD\nDz5Y1krWSqH16re5jlHa8euLxpZMTsa6iy4au9ACs65j9mqzm/RSfmsdGbkKTUqloH/pBwAAAAAA\nMCs0KRnrylpHofViPf5diV4a/6+E6xilnIpCm136zsuUmILl97//fV144YUL3vac5zxHH/7wh9t8\nRNLQ0JB27NjRcI1Iac86kZK0bt26yNtYyvr165u6/1wpN5CM6h2xYjOS0T6dtlt2w2pW0vMDAAAA\nADBXr45/kz7+TzmBfLnRtRdZSzH34IMP6vvf//6Cty11OXWrHHroobr77rv1yCOPNLzf3NsPO+yw\nyNtotaU6ba921pqk5wcAAAAAQKouN1ZR745/kz7+d7XvDvArlZiC5Stf+Upt2bJlwdv222+/9h7M\nrGOOOUZXXXWVJicndf/99+uQQw5Z8H433XRT/eejjz468jbaYbFOW/95Vq911pqk5wcAAAAAJJtV\ndakxd3Yw3KvjX8b/0UhMwXLLli2LFiw75ZRTTtH/+T//R1L1kvX3vve9C97vBz/4gSRp06ZNOuGE\nEyJvo10W7LRz9HpnTXp+AAAAAEByGbvncuFeH/8y/l+96C4uR9Oe85zn6PDDD5ckfe5zn1OpVNrn\nPjfffLN++tOfSpLOOusseZ4XeRvtlHIDZZx9dylPSmdNen4AAAAAQLIlZfzL+H91KFi20Lve9S69\n8pWv1Omnn77g7Y7j6G//9m8lSffff7/OOussTU9P12+/66679KY3vUnWWg0NDemDH/xgS9oAAAAA\nAAAA4iIxl4Q367/+67/0uc99rv5nY8xet73yla+s/7mvr0/f/va392njmmuu0b333ttwV+7Xve51\n+sAHPqC/+7u/07//+7/r6quv1jOe8Qzl83ndfPPNMsYok8noO9/5jjZt2tSyNtpl/gKzNYvtntVr\nkp4fAAAAAJBsSRn/Mv5fHQqWi3jkkUcW3VV827Zt2rZtW/3PAwMDq3quv/3bv9XRRx+tv/7rv9bv\nfvc7XXvttZKqsydPPvlk/dM//ZOOOeaYlrfRagvthiUtvntWr0l6fgAAAABAcrmOkWz1514f/zL+\nXz0Klot42ctepquuumpZ902lFv5nvOiiizQzM6N0Or1kG2eeeabOPPNM/e53v9O2bduUzWZ16KGH\n6glPeMKyjzmKNlploc5a75gL7J7Va5026fkBAAAAAMnmyNZ3CJd6d/zL+D8aFCwX8aQnPUlPetKT\nVtXGSSed1PRjDjvsMB122GGret4o2ohSw86qRXbP6qFOm/T8AAAAAABI1VmWKSfo2fFv0sf/RtFt\n8symO2ippTprzfzdsyo2o8B0fz096fkBAAAAAJirV8e/SR//BzYlo6WvMF6u7v8XQSw4TvWX54T1\nv/NNWr5Ny5ldpCLrlpV2/UXb8LxQrjEqm2z18TYt15qGj4mzXsrvOFauY+S5gXKpQqcPBwAAAADQ\nRTw3kOsYGbnynDDW49+V6KXx/0r4Jq1ggQ2GVoOCJSLhupIjo7Q3u5BsmKl2OKe6PkWfV1DGqzRq\nQpKU9ipKhb6KYb+kaqdNyV/WY+Ok1/K7JifPDZX1StqQ293RYwEAAAAAdJcdxf1VDPtkjFuvG8R1\n/NusXhv/N2tufmOjKzNySTgiVwkz9Q4nLb+z1mS8ivq8PbP4imG/KmG0lfpWSnp+AAAAAACWo9vH\nv0kf/8/Pn3KiK7YywxKRMEZyPVcFf6A+pVmqToN2JPlNdjhHUtrx623lg0EFpvGU6jjwTbon8xvr\nKjSeymFOY6WNHTkGAAAAAEB3Koc5hcaTse4+4+O4jX+Xq1fH/8s1P3/GLSkwTmTtU7BEJKyVQuvK\nt3sWWM04FbmOUWhXtkuU6xilHb++aG3J5GSsG9vdsxZaYLdX8lvryMhVaFIqBf1LPwAAAAAAgFmh\nSclYV9Y6C46R4zT+XY5eHv8vx4L5ZWTZJRxxY+UpNHsXK6PoWN2ye9ZydwNrVrfkBwAAAABgNbpl\n/Jv08X+r8s9HwRKRsM6eThT1yRr3Ttvqzhr3/AAAAAAARCHu49+kj//bVayUKFgiYq06WePaadvV\nWeOaHwAAAACAKMV1/Jv08X87i5USBUtEyHP9lp6sceu07e6sccsPAAAAAEArxG38m/Txf7vzSxQs\nERHHBnJlWv48cem0neisUnzyAwAAAADQSnEZ/yZ9/N+p/BQsEQlHYdueq9OdtlOdtabT+QEAAAAA\naIdOj3+TPv7vZH6qHIhE6AwqNCkZG90W9kuykpmtuZdsTq4xcp3WzvI01q0/pyS5MgqUUhB2oCu1\nMX9oUzLW1UwwoO2FA1vyHAAAAACA3jQTDCgwKVm5KoW55htg/B/7/FaSkRPZ81OwRCSs40lyFdr2\nT9q1sx0olCtjo+we859nz3NJkiMj26HMc7Ujf7VVT9a4mvKrz+c6Ro5sC55t+awcmTn//q08pnY+\n13KRn/zkJ38N+clPfvJ3+3MtF/nJT/7uzB+YtKotOJJdeSmK8X+c81sKlogfK0fVFQZav47lQs+u\n2U5h5crKRv6iXc3n7PU3e/7baa3PX2vfyJG1qbasV7pce33rY6vf+kT9TdNC3yzFBfnJT37ySyI/\n+clPfvKTv3XPIfKTf/Xt21qxUqsdRzP+j2/++Y9bHQqWiJBt+ZTkxRjrzqn+O5EeS/VbpT2dzmnB\nG8JqtT5/rWWrnFtq65odyzF/XY2UE0R2jIFJqaJM/U263WuWLAf5yU9+8teQn/zkJ39kbZOf/OSX\nRP6o8pfCPsl6stKqx6qM/2Oa30qholsmkE130BOq09P3dCIrd69C20rt/UIQzxcrqX35XYWxe7OW\nWrcQcacXWF4u8pOf/OSvIT/5yU/+1SI/+clP/pq45mf8n4z8zLBEpDq5pofnhDJzFqK1cmWt5Dor\n28HcWG9esc6suK12aHV+R0aeG8qL6b+B54VyjVHZZCVJvk3Lt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          }
        }
      ],
      "source": [
        "sim = make_sim(theta=np.deg2rad(20), d_tip=0.1, l_gap=0.2)\n",
        "sim.plot(z=h / 2, monitor_alpha=0.1)\n",
        "plt.show()"
      ],
      "id": "a9637fbb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the initial simulation to the cloud to generate fields and\n",
        "monitor data for the baseline geometry."
      ],
      "id": "5ad5ad64-1293-438a-95ab-d09bfac24d44"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:18:11 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'test run'</span> with resource_id                           \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-2fa8f4a8-beaf-4c3f-b2d9-d9131863f3e3'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fa8f4a8-beaf-4c3f-b2d9-d9131863f3e3\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fa8f4a8-bea</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fa8f4a8-beaf-4c3f-b2d9-d9131863f3e3\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">f-4c3f-b2d9-d9131863f3e3'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"1181d348d3654a8ba2eb973152f05b48\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:18:13 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.320</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:18:15 UTC </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"5f2cb8d08701480fa42a7cfa7f90a1fa\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:18:36 UTC </span>starting up solver                                                 \n",
              "</pre>"
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          }
        },
        {
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          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:18:37 UTC </span>running solver                                                     \n",
              "</pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"b636e86a9839432c80077ac343d4c054\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        {
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          "data": {
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:19:24 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span>%, exiting.                            \n",
              "</pre>"
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        },
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          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = postprocess                                               \n",
              "</pre>"
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          "data": {
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              "{\"model_id\":\"098f32d7cea745bd8367615c9cf8f3d6\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
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        {
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          "data": {
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:19:27 UTC </span>status = success                                                   \n",
              "</pre>"
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        },
        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:19:29 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fa8f4a8-beaf-4c3f-b2d9-d9131863f3e3\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fa8f4a8-bea</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fa8f4a8-beaf-4c3f-b2d9-d9131863f3e3\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">f-4c3f-b2d9-d9131863f3e3'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"23f29eec6db94ddca52d2fd4c45c9e59\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:19:31 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = web.run(sim, \"test run\")"
      ],
      "id": "6b320e4d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the real part of Hz on the $xy$ plane to inspect coupling in the\n",
        "initial (non‑optimized) geometry."
      ],
      "id": "9179240d-d93a-4f69-ac49-f853d32540a2"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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mQwHQcxCMRLdW6iQ2pa4rV9CJ3e2Y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\ncWBpaQkf+chH8Na3vhUf+tCH8OCDD2IyKd/7dnd38alPfQpra2t49atfj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J5nkQmJM4Mc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\nwTuct5XDcVoZHLP+41iurmoe85m7zpx9O32ZS8akEoFJ63Vbl24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          }
        }
      ],
      "source": [
        "sim_data.plot_field(\"field\", \"Hz\", \"real\", vmax=0.3)\n",
        "plt.show()"
      ],
      "id": "83a0caf2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Bayesian Optimization\n",
        "\n",
        "Define an objective function that computes the average broadband\n",
        "transmission power in the fundamental mode based on simulation results.\n",
        "This serves as the figure of merit to be maximized during optimization.\n",
        "\n",
        "For reference, the initial (unoptimized) device achieves a mean\n",
        "broadband transmission of 12.8%."
      ],
      "id": "9d56f9e1-8a29-446a-a1a8-f62ed7ea35cc"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Transmission = 12.83%"
          ]
        }
      ],
      "source": [
        "def cal_transmission(sim_data):\n",
        "    amp = sim_data[\"mode\"].amps.sel(mode_index=0, direction=\"+\").values\n",
        "    T = np.abs(amp) ** 2\n",
        "    return np.mean(T)\n",
        "\n",
        "\n",
        "print(f\"Transmission = {1e2 * cal_transmission(sim_data):.2f}%\")"
      ],
      "id": "5c5878a3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Configure `tidy3d.plugins.design` to maximize transmission by sweeping\n",
        "`theta`, `d_tip`, and `l_gap` within bounds using a UCB (upper\n",
        "confidence bound) acquisition function."
      ],
      "id": "e47672c7-64cd-4e8f-babe-202a4745ecbd"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:19:34 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> Simulations                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:21:28 UTC </span>Best Fit from Initial Solutions: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.368</span>                             \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>                                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                                              \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:22:03 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                                              \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:22:40 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                                              \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:23:58 UTC </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.372</span>                                   \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>                                                                   \n",
              "</pre>"
            ]
          }
        },
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              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>                                                                   \n",
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:33:47 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                                              \n",
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:35:06 UTC </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.373</span>                                  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>                                                                   \n",
              "</pre>"
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                                              \n",
              "</pre>"
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        },
        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:36:23 UTC </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                                              \n",
              "</pre>"
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          }
        },
        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">07:37:02 UTC </span>Best Result: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.3727318964106043</span>                                    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Best Parameters: theta: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.1854948551302062</span> d_tip:                  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.16577642507210752</span> l_gap: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.1</span>                                     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>                                                                   \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "import tidy3d.plugins.design as tdd\n",
        "\n",
        "# define optimization method\n",
        "method = tdd.MethodBayOpt(\n",
        "    initial_iter=10,\n",
        "    n_iter=15,\n",
        "    acq_func=\"ucb\",\n",
        "    kappa=0.3,\n",
        "    seed=1,\n",
        ")\n",
        "\n",
        "# define optimization parameters\n",
        "parameters = [\n",
        "    tdd.ParameterFloat(name=\"theta\", span=(np.deg2rad(5), np.deg2rad(20))),\n",
        "    tdd.ParameterFloat(name=\"d_tip\", span=(0.05, 0.2)),\n",
        "    tdd.ParameterFloat(name=\"l_gap\", span=(0.1, 0.3)),\n",
        "]\n",
        "\n",
        "# define a design space\n",
        "design_space = tdd.DesignSpace(\n",
        "    method=method, parameters=parameters, task_name=\"bay_opt\", path_dir=\"./data\"\n",
        ")\n",
        "\n",
        "# run the design optimization\n",
        "results = design_space.run(make_sim, cal_transmission, verbose=True)"
      ],
      "id": "702e79c7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Rebuild the simulation with the best parameters from optimization."
      ],
      "id": "248c4c0c-a8cc-4588-8c49-b7cc80099f87"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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AAIB6QP+/1vNTsESN8arR+q+xFoaiJQAAAACgHtD/r+X8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\n0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          }
        }
      ],
      "source": [
        "sim_opt = make_sim(**results.optimizer.max[\"params\"])\n",
        "sim_opt.plot(z=h / 2, monitor_alpha=0.2)\n",
        "plt.show()"
      ],
      "id": "57717002"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Run the optimized simulation (cached) again and plot the real part of\n",
        "`Hz` on the $xy$ plane to confirm efficient coupling into the slot\n",
        "plasmonic mode."
      ],
      "id": "c519e9c8-a466-49f0-92c7-0dbadf6ac0f8"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Loading simulation from local cache. View cached task using web UI \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>at                                                                 \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-e9560573-483f-4f09-9a48-320c449ff2ab\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-e9560573-483</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-e9560573-483f-4f09-9a48-320c449ff2ab\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">f-4f09-9a48-320c449ff2ab'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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f9YmATe1xnFQe9bw6qMsAaiGZTOpPf/qTjj32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WrUAyAUknehL3bwzDLAkuJNNSvLYUsZaZB+vr6/j4xz+OD3zgA/jEJz6B22+/vXU/rTXe+973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\nFP6NDcMTJGY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          }
        }
      ],
      "source": [
        "sim_data_opt = web.run(sim_opt, \"optimal design\")\n",
        "sim_data_opt.plot_field(\"field\", \"Hz\", \"real\", vmax=0.5)\n",
        "plt.show()"
      ],
      "id": "df79d81f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, compute and plot power transmission from the mode monitor\n",
        "across the wavelength range."
      ],
      "id": "1da94c3a-4a6a-47db-905d-e75e769096e4"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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PPZQk2WeffSpRHgAAAAAFqcjMpjZt2uTWW2/N4YcfvtxaTCeccEJG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\nvvvuS5J885vfzLnnnrva1wMAAABo6VpV2HTIIYe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XX301+++/f26//fbst99+TfURWMu9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\niIiIiIh4zf8AlpV9Pz6y8mAAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "amp = sim_data_opt[\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "T = np.abs(amp) ** 2\n",
        "plt.plot(ldas, T, c=\"red\", linewidth=2)\n",
        "plt.xlabel(\"Wavelength (μm)\")\n",
        "plt.ylabel(\"Transmission\")\n",
        "plt.ylim(0, 1)\n",
        "plt.grid()\n",
        "plt.show()"
      ],
      "id": "254cb049"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}