{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Broadband directional coupler\n",
        "\n",
        "In the rapidly evolving field of silicon integrated photonics, the\n",
        "directional coupler (DC) stands out as a crucial building block for a\n",
        "multitude of applications, such as optical signal processing, sensing,\n",
        "and communication systems. As a passive device, a DC allows for the\n",
        "precise manipulation and distribution of light between two parallel\n",
        "waveguides within close proximity, enabling highly efficient and compact\n",
        "coupling with minimal loss. This elegant, yet simple structure\n",
        "capitalizes on the waveguiding properties of silicon, leveraging the\n",
        "evanescent coupling between the propagating modes to achieve precise\n",
        "control over the flow of optical power, thereby playing a pivotal role\n",
        "in shaping the future of photonic integrated circuits.\n",
        "\n",
        "Conventional compact DCs often face limitations in terms of narrow\n",
        "bandwidth, while broadband designs tend to require a significantly\n",
        "larger footprint. This document explores a design for compact, broadband\n",
        "DCs, as proposed in\n",
        "`Zeqin Lu, Han Yun, Yun Wang, Zhitian Chen, Fan Zhang, Nicolas A. F. Jaeger, and Lukas Chrostowski, \"Broadband silicon photonic directional coupler using asymmetric-waveguide based phase control,\" Opt. Express 23, 3795-3808 (2015)`,\n",
        "[DOI: 10.1364/OE.23.003795](https://doi.org/10.1364/OE.23.003795). The\n",
        "key innovation in this design, as compared to traditional DCs, lies in\n",
        "its incorporation of an asymmetric-waveguide-based phase control\n",
        "section. To demonstrate a concrete example, we will design a 2x2 DC for\n",
        "the TE mode, with a 50%/50% (-3 dB) splitting ratio, operating within\n",
        "the 1500 nm to 1600 nm range. Different polarizations and splitting\n",
        "ratios can be achieved in a similar design process.\n",
        "\n",
        "Initially, we employ the transfer matrix method (TMM) to model the DC in\n",
        "a semi-analytical manner. TMM necessitates the calculation of effective\n",
        "indices for various waveguide configurations, for which we utilize\n",
        "Tidy3D’s [waveguide\n",
        "plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/),\n",
        "as it offers a convenient means of performing mode analysis. TMM\n",
        "provides a computationally efficient and accurate preliminary estimation\n",
        "of the ideal design parameters, which are then further optimized using\n",
        "rigorous 3D FDTD simulations.\n",
        "\n",
        "<img src=\"img/broadband_DC_1.png\" width=\"500\" alt=\"Schematic of the DC\">\n",
        "\n",
        "For more integrated photonic examples such as the [8-Channel mode and\n",
        "polarization\n",
        "de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/),\n",
        "the [broadband bi-level taper polarization\n",
        "rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/),\n",
        "and the [90 degree optical\n",
        "hybrid](https://www.flexcompute.com/tidy3d/examples/notebooks/90OpticalHybrid/),\n",
        "please visit our [examples\n",
        "page](https://www.flexcompute.com/tidy3d/examples/)."
      ],
      "id": "1f620ecb-408c-4c63-8b43-9125c84236d5"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import gdstk\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from tidy3d.plugins import waveguide"
      ],
      "id": "14eceadf"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Transfer Matrix Method (TMM) Analysis\n",
        "\n",
        "The broadband DC primarily consists of a symmetric coupler, an\n",
        "asymmetric phase control section, and another symmetric coupler. The\n",
        "three sections are connected via linear tapers. The inputs and outputs\n",
        "are from 90 degree circular bends.\n",
        "\n",
        "We can use TMM to analyze this system. Assuming the input and output\n",
        "fields on the waveguide are $E_1$, $E_2$, $E_3$, and $E_4$, each section\n",
        "of the DC can be represented by a matrix. That is, we can write down the\n",
        "following equation that connects the input and output fields:\n",
        "\n",
        "$\\begin{bmatrix}E_3\\\\E_4\\end{bmatrix} = C \\cdot P_t \\cdot P \\cdot P_t \\cdot C \\cdot \\begin{bmatrix} E_1\\\\E_2 \\end{bmatrix}$.\n",
        "\n",
        "$C =\\begin{bmatrix}t & -jk\\\\-jk & t\\end{bmatrix} e^{-j\\frac{\\pi}{\\lambda}(n_++n_-)L_1}$\n",
        "represents the symmetric coupler. $t$ and $k$ are the transmission and\n",
        "coupling coefficients given by \\$t = cos(L_1) \\$ and \\$k = sin(L_1) \\$,\n",
        "where $\\Delta n_{eff}=n_+-n_-$. $n_+$ and $n_-$ are the effective\n",
        "indices of the symmetric and anti-symmetric modes, which we will\n",
        "determine from mode analysis using the [waveguide\n",
        "plugin](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.waveguide.RectangularDielectric.html).\n",
        "\n",
        "$P = \\begin{bmatrix}e^{-j\\frac{2\\pi n_1}{\\lambda}L_2} & 0\\\\0 & e^{-j\\frac{2\\pi n_2}{\\lambda}L_2}\\end{bmatrix}$\n",
        "represents the asymmetric phase control section. Here $n_1$ and $n_2$\n",
        "are the effective indices of the lowest order modes, which correspond to\n",
        "modes confined in the top waveguide and bottom waveguide, respectively.\n",
        "We will determine $n_1$ and $n_2$ from mode analysis too.\n",
        "\n",
        "Lastly,\n",
        "$P_t = \\begin{bmatrix}e^{-j\\theta_{t1}} & 0\\\\0 & e^{-j\\theta_{t2}}\\end{bmatrix}$\n",
        "approximately represents the linear tapers. $\\theta_{t1}$ and\n",
        "$\\theta_{t2}$ are the phase shifts in the top and bottom tapers, which\n",
        "we will determine numerically from quick FDTD simulations.\n",
        "\n",
        "In the\n",
        "[reference](https://opg.optica.org/oe/fulltext.cfm?uri=oe-23-3-3795), a\n",
        "small propagation loss of 2.7 dB/cm is also considered. Since this is a\n",
        "small factor, we choose to ignore it in the analysis without a\n",
        "significant loss of accuracy.\n",
        "\n",
        "After we perform the TMM calculation, we can determine the power\n",
        "splitting ratio by $\\eta_{cross} = \\frac{|E_4|^2}{|E_3|^2+|E_4|^2}$ and\n",
        "$\\eta_{through} = \\frac{|E_3|^2}{|E_3|^2+|E_4|^2}$, assuming the input\n",
        "field is $\\begin{bmatrix}E_1\\\\0\\end{bmatrix}$.\n",
        "\n",
        "<img src=\"img/broadband_DC_2.png\" width=\"700\" alt=\"Top view of the DC\">\n",
        "\n",
        "We are interested in the wavelength range of 1500 nm to 1600 nm."
      ],
      "id": "df84bab4-b4a9-412b-be9b-08185870fa17"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.55  # central wavelength\n",
        "ldas = np.linspace(1.5, 1.6, 101)  # wavelength range of interest\n",
        "freq0 = td.C_0 / lda0  # central frequency\n",
        "freqs = td.C_0 / ldas  # frequency range of interest\n",
        "fwidth = 0.4 * (np.max(freqs) - np.min(freqs))  # frequency width of the source"
      ],
      "id": "33addc4a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The silicon layer is 220 nm. The waveguide width and gap size in the\n",
        "symmetric coupler are 500 nm and 200 nm, respectively."
      ],
      "id": "6e6eb64d-aef8-4808-9a40-b2259336bc6a"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "w_sc = 0.5  # width of waveguides in the symmetric coupler section\n",
        "h_si = 0.22  # thickness of the silicon layer\n",
        "gap_sc = 0.2  # gap size between the waveguides in the symmetric coupler section"
      ],
      "id": "1687b3ab"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To define the media, we directly use the dispersive medium model of\n",
        "silicon and oxide from Tidy3D’s [material\n",
        "library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)\n",
        "for convenience."
      ],
      "id": "ee165b59-e49a-4e02-aead-b7cc6629ed47"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define silicon and silicon dioxide media from material library\n",
        "si = td.material_library[\"cSi\"][\"Li1993_293K\"]\n",
        "sio2 = td.material_library[\"SiO2\"][\"Horiba\"]"
      ],
      "id": "24734794"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we use the [waveguide\n",
        "plugin](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.waveguide.RectangularDielectric.html)\n",
        "to perform the mode analysis on the symmetric coupler. Alternatively,\n",
        "one can use the\n",
        "[ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html)\n",
        "plugin to do the same analysis. The [waveguide\n",
        "plugin](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.waveguide.RectangularDielectric.html)\n",
        "just provides a fast and convenient way of setting up the mode analysis\n",
        "for dielectric waveguides."
      ],
      "id": "f5da6901-5161-47cd-84e7-462b2bcea784"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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AAAAoJDwCAAAAoJDwCAAAAIBCwiMAAAAACgmPAAAAACgk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\nREREREREsv4fzs+jx05TLWwAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# define the symmetric coupler section\n",
        "symmetric_coupler = waveguide.RectangularDielectric(\n",
        "    wavelength=lda0,\n",
        "    core_width=(w_sc, w_sc),\n",
        "    core_thickness=h_si,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        "    gap=gap_sc,\n",
        "    grid_resolution=40,\n",
        "    mode_spec=td.ModeSpec(num_modes=5, precision=\"double\"),\n",
        ")\n",
        "\n",
        "# plot the cross section\n",
        "symmetric_coupler.plot_structures(x=0)\n",
        "plt.show()"
      ],
      "id": "ea238939"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The effective indices of different modes can be directly calculated. The\n",
        "corresponding mode profiles can be visualized. Here we focus on the two\n",
        "lowest order modes, which are the symmetric and anti-symmetric modes."
      ],
      "id": "56e31762-bba1-4a45-9fa2-6d47ff09299a"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Effective indices: 2.4632251516307817, 2.441747367359347"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Wlu6cj4+P3n777XQTRgDAU4SHh2v58uXaunWr/vvvP9ntdpUpU0Zly5ZVu3bt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\n3jPu9tNPP5nHL7zwgj788EOn6W+io6M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8022wybbbYZfvnLX1Yd7+jowOGHH44//elP+PDDDxGGoTnW2dmJO+64A7vuuiveeecdAMCZZ55p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          }
        }
      ],
      "source": [
        "# compute the effective indices for the symmetric and anti-symmetric modes\n",
        "n_p = symmetric_coupler.n_eff.values[0][0]\n",
        "n_m = symmetric_coupler.n_eff.values[0][1]\n",
        "del_n = n_p - n_m\n",
        "print(f\"Effective indices: {n_p}, {n_m}\")\n",
        "\n",
        "# plot the mode profiles\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
        "\n",
        "symmetric_coupler.plot_field(\"Ey\", mode_index=0, ax=ax1)\n",
        "symmetric_coupler.plot_field(\"Ey\", mode_index=1, ax=ax2)"
      ],
      "id": "65f01756"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After obtaining $n_+$ and $n_-$, we will calculate $n_1$ and $n_2$ in a\n",
        "similar fashion for the phase control section, where the waveguide\n",
        "widths are 600 nm and 400 nm. The gap is 300 nm."
      ],
      "id": "733a2a62-874d-43ef-b9e6-49914beb904b"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Def755zNt2rS8++676dy5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\n"
          }
        }
      ],
      "source": [
        "w_top = 0.6  # width of the top waveguide in the phase control section\n",
        "w_bottom = 0.4  # width of the bottom waveguide in the phase control section\n",
        "gap_pc = 0.3  # gap size in the phase control section\n",
        "\n",
        "# define the phase control section\n",
        "phase_control = waveguide.RectangularDielectric(\n",
        "    wavelength=lda0,\n",
        "    core_width=(w_top, w_bottom),\n",
        "    core_thickness=h_si,\n",
        "    core_medium=si,\n",
        "    clad_medium=sio2,\n",
        "    gap=gap_pc,\n",
        "    grid_resolution=40,\n",
        "    mode_spec=td.ModeSpec(num_modes=2, precision=\"double\"),\n",
        ")\n",
        "\n",
        "# plot the cross section\n",
        "phase_control.plot_structures(x=0)\n",
        "plt.show()"
      ],
      "id": "cc1cbf9c"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Effective indices: 2.5727219701591744, 2.2483020975382546"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wMAFEVBWVmZNeM2F9tKlKvqW01NTeIC8Y5QazjVq9Sb1zlel4l3bc9rxr1//LYlcy+3ZNZgiDeI\nLN4oIsF2gqLFv48AxLwg93GKbbfg0ZBk15CwH+b1+UhmpJzXe88BdkRERFRbffr0gSAI0DQNW7Zs\nSXisGRsWFhaiS5cuaWlPmzZtIIoiVFXFoUOHcrqtRNT4CbbAS0tRwJVMHJ2oH6G2/QfuGN99XDLX\ns1/D3j/gbmbMtd339myf1729W1W/7hnvs+P9Vt1xudev36sfwt5XIAqaa5/+r71vQbT2OW/g7l9w\nv7dinNejeryiuH0g7nPr2D9hYj8FEVH2cIathxNOOAEAEAqF8OWXX8Y97vPPP7e2Bw8enLb2/Pzz\nzwAAWZZRVFTk2JdrbSUiIiKipkcQsvuI20tH1EQUFBSgX79+AIDly5cnPPaLL74AAAwaNMhz8Foq\n7Nu3D6qqd+m3bNnSsS/X2kpERERETU+2Y1h+tSUvTNh6uOiii6ztl156Ke5xr7zyCgCgf//+OOqo\no9LSloMHD+Ljjz8GABx33HExQWoutZWIiIiIiIiywyxD/N///hfffvut5zGfffaZNSDYXrY41V5/\n/XVre9CgQTH7c6mtREREREREuYAJWw89evTA+eefDwCYM2eOZ5mmZ555Bps3bwYA3HLLLZ7XURQF\nkUgEiqLUqR2RSATXXXcdysrKAABXX3112tpKREREREREDdd1112HQCAAALj77rtj9iuKgnvvvRcA\nUFxcjPHjx3teJxKJIBKJWDNka2vjxo2YOnUqAKCoqAijRo1KW1uJiIiIiIgaCyZs43j00UdRVFSE\niooKnHHGGXjjjTdQWlqKXbt24ZFHHsHvfvc7AHpJ4gkTJnheo3///vD5fGjdurXn/uuvvx6jR4/G\nv/71L6xZswY//fQTqqursWvXLrz88ssYMmQIXn31VQDAKaecguuuuy5tbSUiIiIiqgsBAsQsP1hN\nigjo2rWrleR88803ccUVV2DdunWoqKjAmjVrcN5551lL5Tz00ENo1apVzDWWLl0Kn88Hn8+HKVOm\nxOwvLy9Hnz59MGXKFLz//vvYsGEDDh48iIqKCqxfvx5/+ctfcOKJJ2L//v0A9Fi1bdu2aWkrERER\nEVFdZTuGZWKOvMjZbkCuOvroo/Haa6/hiiuuwI4dOzxLMB1zzDH4z3/+A1mu29t4+PBhvPzyy3j5\n5ZcTHnfRRRfhn//8J3w+X9baStSUqJqW1HHuo9Q4p2mu67mPq+k69vPd8xzsl/a6f7xz3S8x3mtO\n7p3wFq/zXHSVdvdas0F07BesloiC/fn450TPAxTNeZ7jGNvrNo9RbC860VppXte0P+X1nrpfuxf3\naVzTgoiIiJL1wAMPYPfu3ZgzZw5eeeUVa2kckyAIuOeee3DjjTfW6fqCIGDz5s149NFH8eijj8Y9\nrqCgAI899hiuv/76rLWViMiLPQbU6hBsJdNdUNv4OlEfgHt/vP4D85xk+wy8+grMp9ztt//kvIbt\neVfLYvscECPJrpcaxfQNOH7WHPtFxO+PcPQ3wN5X4H1ObL8FIArOFyW52pbseuyix6dF9ehlqalf\nwjo3zpudTB8FERFlDrN3CYwYMQLr1q3DzJkz8fbbb2PHjh0IBALo3bs3Ro8ejUmTJsHv98c9X5Zl\nSJIUN0n69NNPY/To0Xj33Xexdu1a7N69G/v370d+fj66dOmCIUOG4KqrrsJpp52W9rYSEREREdWF\nIHBwCVGuEAQBs2fPxqhRo/D0009j5cqVOHDgANq0aYNTTjkFN954Y8L4UhAESJIEANa/ds2aNcP3\n33+Pd955Bx988AG2bNmC3bt3o7KyEi1atEDfvn0xfPhwTJgwAR06dEhrW4mIiIiI6irrcSxjaPIg\naO5hW0S1cPDgQas81U+7dqFly5ZZbhGRt9r8n44zbOO3rTZSO8PWPDf+efFm2LrPi9dGz5Gp9Zhh\n631O7b+NMQlCRAcPHkTnTp0AAAcOHMiZ71tXX3015s+fjxvuuBs33XVfVtsy4fILsGLpZ3j66adx\n7bXXZrUtRJT77HHsrp9+ypn/rxJRZnGGLRznNM4ZtqjjDFv787WZYeu8d00zbN37vdoS79y4x3lf\nMs59kjua/RJUW7kawwaDQeTl5QEAPvpyA9p37JS1tvy4dQvOPeV4CIIAVXX/35uaqozMsA2FQlix\nYgU++eQTrF69Gnv37sW+fftQXV2Ntm3bom3btujVqxdOP/10nH766Wjfvn0mmkVERERERETk6eef\nf8ann36KTz/9FN9//z327t2L/fv3Iy8vD23btkX79u0xePBgnH766TjppJNY0YiIiIiIiIjqLK0J\n29WrV+Opp57Ciy++iMrKSs9jfvrpJwDA+++/j7///e8AgJNOOgk33HADRo8ebY14ICIiIiKi3CMg\nfiWDTLaBKBWqq6vx8ssv46mnnsLy5cvjHrdlyxYAwBtvvAFAX7N1zJgxuOGGGzB48OCMtJWIiIiI\niOpGFLIbx2Y7hqbclJaE7Ycffoj77rsPK1eudN5MltGjRw+0atUKrVu3RiAQQElJCQ4cOICdO3fi\n0KFDAIAVK1ZgxYoVuOOOO3DLLbfgrrvuQkFBQTqaSkSNUCbKH+vnuu+rxd1nv0ayJY+9Shcld6zm\nWbIoXrmiRGWV61OiKH5ZIi1uSSKvckSCra2iILjOtd/PVQLZaLwgAIoWe7z7HPMujmZr9ns7z1Uh\nxOxzv13u715en7eaShB5/Q5YjoiIiCi1KisrMWPGDMycORMHDhxw7GvZsiU6d+6M1q1bo1WrVqiu\nrsaBAwdQUlKCrVu3QlEUVFZWYt68eZg3bx5OOOEEPPTQQzjzzDOz9GqIiCgZgi3Yqkt5ZC/JlkNO\ntj8hfjliZwnkaDlj53UVzTv2VzzuZ13Do7/AqxSy93HR5xRbp4XjeY/3KNm+GZM7jpYc/QHRbcnW\nCaA/H+0nAKL9EZ59Ea7Sx9bPVl9F7DnuEsequ51iTb0G8YlePVMen1uvd7K+n272SxARZUZKE7ab\nNm3C5MmT8eabb1rPnXTSSRg1ahROPvlkDB48OG7iVdM0bNy4EcuXL8eHH36IhQsX4sCBA/jjH/+I\nZ555Bg8//DCuuuqqhOsJEhERERFRhgnssKGGS9M0/Otf/8J9992HnTt3AgCaNWuGUaNGYfjw4Rgy\nZAj69OkTNw6trKzEqlWr8MUXX2DBggVYuXIlVq1ahREjRuD888/H9OnT0adPn0y+JCIiIiIiqoGQ\n5TiWMTR5SWnC9qqrrsLq1avRunVr3HDDDRg/fjx69eqV1LmCIKBv377o27cvfvvb36KiogKvv/46\nZs+ejc8//xzjx49Hv379MGjQoFQ2mYiIiIiIiJqoL7/8EuPHjwcAnHLKKZg0aRIuueQSNGvWLKnz\nCwoKcPrpp+P000/HPffcg82bN+P555/HU089hTfffBM///wzVq1alc6XQERERERERI2AuzpkvbRs\n2RLTpk3D1q1bMW3atKSTtV6aNWuGcePGYdmyZXj33Xdx0kknOcqDEBEREREREdWHpmk46aST8O67\n72LZsmUYN25c0slaL71793bExC1btkxha4mIiIiIiKixSukM27fffhuynPplcc8++2ycffbZiEQi\nKb82EZFbMuvVAogZRFLTOjPuNWai1/Fei8Z9rH6cbY0YONeaibfOjH19Gfdat0By68rUZj0ZrzVZ\n3evJxK4jo5cCibd+jH3tGPe6MYC+Hovj55i1ZvQnlJjzYt+zmLVwDe7PgH39GNVjRRhRqHlNW/26\nzjV6k6FpLJ1CRLlDgHM98uy1gqj2jj32WCxfvjzl1y0qKsLUqVMZwxIR1URzR8i1IKRuHoq5nm2q\n1rI11dS/YPUT1KM/AQAU1Xu/YrtwxB772+5i9gm416Z1r0trHmf9bLXdu2/Ba51ce3uc/Q+oFcnR\nZ2Bfs1YwnjOPEzzXtHU8ZzvGvV/vp4C1bb+2/aNitkd1fXwk10dU1JwHaJ6fkOQ/h159VWItPsJe\nfT3J9ksQNXQChKzGsdmPoSkXpXSGbTqStZm8PhERERERETUdjGGJiIiIiIgoF6Q0YUtERERERERE\nRERERERERMnjcF8iatCSrdRbm5K+3veJPd9desb+o6PMj3UN53lepY/dJYfcpZDc5Y29SiLbSycr\nqrNcUfznPdpdx/JEyZQmcpdI1vcDPlG0nrOXIopXEjn6vABAiy1RZF7feC2CoL8Wd6lkANCsc+wv\n1rs8MuD8/Zvlke3XU7XYc8xT4hU9UTWtVmWRrVayigoRZZGA7P9/KNv3JyIiItSvvHG67lfLssmC\nptWpLHIyfQ5xl0Iy43qPY92lkOP1K5gxu+Jqh71McVi1x/j2ksjxSx6rmhbnecScr5dBjh5rfz56\n3+jPqup8Pvravd9Ld6xs9j2IoqvssWDvZ7CVOxZq7qPwKo3s3ueTzOvZ+hPEeCW1na/F/WkUJO/P\nmuDxFngdGed0IkqCIGQ3juR/vuQlowlbTdPw2Wef4ZNPPsH333+Pw4cPQ1GUhOfMnDkTRx11VIZa\nSERERERERHXxwQcfYOrUqRgxYgSmTZuW7eakzKFDh/Cf//wHq1evxp49e1BZWek5mM/Uq1cvPP74\n4xlsIREREREREdXFLbfcgpUrV+LJJ5/ECSeckNW2ZCxhu379elx11VX46quvanXeH//4x7S0h4iI\niIiI6k8QYisKUNO0a9curFixAh07dsx2U1Jm1qxZuO+++1BRUZH0OYMGDUpji4iIiIiIqL7ELMex\nrBKVO7766iusWLECe/fuzXZTMpOw3bNnD4YOHYr9+/cDAPLz89GnTx+0bNkSopi4NEnz5s0z0UQi\naqK85ka4Sx0ne679PHthJnMChlUOyPW8u/yxvcyxfry91HF0n1kWGQDCiuYoTxRW7CWJNI9jgLBR\n18hdtsh6DaqWVFkiO3cZIuv5OGWI7OWJfKIASVSN60TLIycqlWyWIBKMekFmmWS97HHsPmh6yRGr\nTJEWLaNsvjzJ9m1NiVMe2bqewfy9iLbjBUFwlk22HZ+oNLL5PidbGhmItp1f9oiIKJs2b94MAFi3\nbl2WW5Ia//u//4tbb73V+rljx47o0aMH8vPzE57Xp0+fdDeNiCh7Ml32uL7c7U2iRLJgxugeAZY7\nfkx465oPiSmHnKgUsldJZXcsr7herr0McsS2HYyotmP0bbMfwexDUDW9H0ONey9nyWN3uWPz+LCq\nWuWP7ccotrLJ9uu5tyWPjIokCtbzkuDqbxCjfQU+UYBolT4WPJdwcpdNto4VBc9yyT5V/zdPjn6W\nVDO6d328BM3Vj+D6UEjxPiRJxvaeFT88Prf1vA0RUaOlaRq+++47AMB///tfnHfeeVltT0YStk88\n8QT279+PvLw8zJw5E1dffTXy8vIycWsiIiIiIiJKs23btmHevHkAgO+//x5/+9vfMHny5BoH6OYq\nRVHwpz/9CYA+Y/bpp5/G8ccfn+VWERERERERUao89dRT+PnnnwHoeczzzjsPv/jFL7LWnowkbFes\nWAEA+P3vf4/rr78+E7ckIkopr1m37ucU28hG+yBHRY0zGjXBTFr79a0ZuprmGDXrnj1rjopVbbNn\nw6pmbSsaELFtW8ermjXq1j7CNZmRrm72ka+OEa+2Ea6iIMAnRUfC+szRrmJ02yeJEAW9fT5RgE9S\no8dL5khZ0TYiVr+uYA1q1afT2st02vc5ZuSa77N5QJyRvJprTKpqG4sqxZ4ad7ZtbWba1maWLaB/\nVjjLloiygf/rafzWr1+PhQsXYsuWLSgvL4dqfY9QsXfvXqxcuRLhcBiXXHIJXn/9ddx9992YMWMG\nfvGLX6C4uBiC+T1AFNGsWTN07doVw4cPx69+9atsvqy4fvjhB+zbtw8+nw+LFi1qVGWeiYhqpaHN\nqK2J/fXUMNtW0DTPWbZezNgtXmUqr9mxXsd4zay174tXsUux9RvY2X+2z6qttm0HjX4C8znV6mdQ\nY/ox4lXiUjTNsU/VNITM/gdVQyjivW3vf4gkMcNWtvcxeGz7ZRGSKMBvzH71S2LM7Ft922NWrW0m\nrnW8IMBnlPkyjwsY17b/rgOSZDQQDu6Pj3tGrap5f768PiPJfha9umzSUfY1ycm9RDlLQHbjWP7n\nkn6RSASLFi3C0qVLsWfPHgSDQev/r6FQCBs2bMD3338PQRBw8cUXY8GCBRg4cCD69++P7t27Oyad\n+nw+tGjRAv369cOll16KTp06paXNGUnYmm/CGWeckYnbERERERERUYo8++yzuOaaa6wkbTzt27fH\nrFmzUFRUhOeeew579+7Fhx9+GPf4P//5z5gwYQL+8Y9/pLrJ9WbGsH369GGyloiIiIiIqAFRFAUj\nRozAJ598UuOxV199Nf70pz9h+fLl2L17N9avX4/169fHPf6ee+7Bf/7zHwwfPjyFLdZlJGHbu3dv\nfPzxxygvL8/E7YiIiIiIKEMECLWuCJD6NlC6qKqKe+65B6qqQpIk9OvXDy1btrRmzAqCgMLCQgwY\nMADXX389OnfujH/84x8YNmwYPvroI+zatQvhcNhKgGqahrKyMmzcuBFVVVWYN28ebrjhBgwePDib\nLzNG9+7d4ff7GcMSERERETVCopDdODbbMXRjt2jRIitZ26JFC/Tp08cxY1aWZbRt2xZnnHEGJkyY\nAFmWsXLlSvzjH//A119/jdLSUiiKYh2vKAp2796NLVu2oLKyEnfeeSe++uqrlLc7IwnbiRMnYs6c\nOXjjjTdw9tlnZ+KWRER1Fq88UU3HeZVBBmJLExlVgRwlkPXyRrFlkQF7OaLok2FVhaJGyxrrJZGj\nZYvM7YiiolqxHxNbhigUUa322rftJYlqKonsLoUM6KWKEpUoMrfNUkU+UXSUO45uR0sQ+UQBPtXc\n1qxjRFWwShpJIqDALHnsLpMMCILmKJNslmrWvAoU216rIDm/SEm2ba/SxqoWLTukaZrVsR2vNHKq\nvqbZPzv87kdERPW1ceNG7N27F3l5eVi7di2OPvroGs+RJAnjx4/H+PHj4x5TWlqKM844A2vXrsVH\nH32Ucwlbv9+PsWPH4tlnn8U333yDgQMHZrtJRESZk8UyyEIK7q3VUOo4eqBxr2SPTyFHiWTElkN2\nl0KOfd67FLLievtCkeiN7GWQK8NKzLbZjxC0lUZ2lzq239sUvXf8fgbz+WBEtUolO/sfVM/lmdzs\nfQx+WYpuG30GfllEwNbP4HdtS7aSyCZ70sReHtnqYxD098cshazYfjex7ZMcPyuuoFxzfdTilsf2\n6CGQPI4jIiJvn332GQDg3HPPxYIFC+D3+2s8p0uXLvjDH/6Q8JiPPvoIw4cPx9dff40DBw6gVatW\nKWmvKSMJ2xNOOAGTJ0/GzJkzceaZZ+KSSy7JxG2JiFImmRSu/cu6PUZyB05eiVs9aas5git7EGSu\nX2udo2mO9WmrI6ojuDITs/ZgqCqkOIInr4DJuZ6Md/I2kdgkrWhtm0GSJES33YFUvl+ytvPMJK0k\nIiDr9/aJAgJmQCoKULRoglcV9TVfw8Z7pAdgmm2d29gkriQI0IxFbM2ATRCda8+a3HGUfU1bM5iy\nJ2Hd4ZU9aQs4E7r69VI/Q4zJWyIiqq8ff/wRADBkyJCkkrXJKi4uxlVXXYW1a9di69atKbtuKj38\n8MNYsmQJxo8fj/feew/t2rXLdpOIiNInS0naVCRoa7pmjQlcTY2btI23jq0geK/hWV9eyVr7urXu\nRK3m+te9hm3YtpxBUPHerjIStuZgbzNhG1LUmHVmAeeAbfvz7oRtZUixrlNlbkeU6PVt/RKKqkFT\no+vk2hOZ9jjaXGdWdg0EN5Op+X5Z71vw6X0LAVc/g72/IhFz0LkkCvAZ/Rpmn4vi8Xs3L2cea/K5\nPlbubpXafPq9umS8XoXE2J+IyIpjf/3rXyeVrE3WsGHD0LdvX2zYsAFbt25tmAlbAHj00UfRpk0b\nXHXVVRg5ciSuuOIK9O7dGwUFBQnPcy/uS0REREREuUMQOCikMauoqAAAtG3bNuXXbt++PQDkbNnh\n9u3b46OPPsKECRPQr18/TJo0CUOHDkWHDh0gy/FD6fz8fHTr1i2DLSUiIiIiotoQkN04ljF0eqU7\njt2wYUNa4tiMJWwB4KyzzsI777yDBQsWYMGCBUmds2rVqpwrj0VEBMSOhLSPAHWWNNb/jTfTNqxo\n0VJDHkN07bNq7efYZ9gGFdUapVodUVEd0UevVoUU20jW5Ea42ssW2Ue4er1ON0EQrBGvQpwyyPZZ\ntfl+2SpdVOCXrDbl+yWEjFGw+T7Jet3mrFsAUCURgPmzClUTHDNWwzBH/+o/i2q09JFZSlmzlUQW\nJHO0rG30rsfvMfpao9vxShO5yx/XNMs29nwtZWtacLYtERHVRZcuXTB27FicfPLJKb/2kUceibFj\nx2LIkCEpv3aqdOjQAb/+9a+xYsUKPPjgg3jwwQdrPGfQoEFYvXp1BlpHRNQwpWNWbbL3izvbNg3l\nkfWaTzpR8J4had3eFWfbZ9fayyBr1vHGc3BV8HLPsLUvrWSbVWsvj2zOrDVLI5txuVmly12i2Kqe\nZQtmzZm4lbb+hyrrehHr+aqQgpCxrSoqFKNks6JE+x802/3sMbEgChCMe4qiANGI62WfBMnqY1BQ\n4JcQ8svGz5JVLczeF+HVdjezUpg5Q1fVnJG/fSarz7iefUYzACiuGsiallww7tntwjieiChpQ4cO\nRZs2bdC5c+eUX/vss89G586d0aZNm5RfO2MJ2yeeeAJ33HEHVDU7JVaIqOFLttyQV9Iz/rGpPc6r\nDfZyRkA0UWsmSc31aO0JWTszoagndKPXDyuqVcYoGFGtgKsiFHEEWGZgVB6MWOWG7AFTKKIiYpYh\nUlQo5no1imYlajVbeSL367QnFN0BlJmcrJYFiEbmVHIkbPVgCgCqwpJVtshddknRvFOioitrqmia\n4/0CgKASTYqayVp7KWXB+EuoqGa7na/PFPursZdLNtcUsq+DEz0i3nq22WK+FiZuiYioJkOGDElb\nQjWd106FgwcP4sILL8TSpUuz3RQiovSoZ+LUK/GaqPxwphO1idqQMHHr2icYAZRXaeS6MuND99JK\netnj+Mlaq0/ASNTGS9xa17QFsmHbzYK2hK25XV4dcfxbaSZsNc1RDjnfJ0G2LXuk31fTl1syrxWM\noCqkX6esOoKg2f8QjCBirGOkRlREjKSunrA12uzqf3D0MRi3lCQRonF/2adCNmoPK0YbIlZ/gvdn\nzp6wDUX0AfB630N0ySRJFBCQxWjZ5rzoMktAdE1b+3ub6P0Hor8nU7IJ3Ezy6lNL1UByIqJMueee\nexrktTOSsF2xYgVuu+02AEDnzp0xduxYDBw4EC1btoQoJh651rt37wy0kIgoKtnkrPs7rP17ueZ4\n3py5GZ0dC0RHXpqzZRXVnGmrj9QUBXOGqma1yxwRG1bNGbb6PvesWnuAVR6MGM97j2qNhBWoxnWU\niApFiQZPVsJW0xzBk5so2pO2+r+SJFqBlT2YkiQREb++bV+zpsBvWzNXizPCVRCshKyoahCNtkqC\naM2wtSe2w4pqvZ+Avh6uomm2dWVUSKroeA3OACp+UKIlcZhm212XpG26gyJNY9KWiOpPQLTeQTbb\nQJRqd9xxh5WsHTZsGM4//3x0794d+fn5Cc8rLi7ORPOIiLIqXvJV0FTPZGidkrV1TfAmMUs2Xjsz\nQRCEhJWr7MlaM3lmJmtj+iFca9i6k232QeH2Gbb2maBVrpm1ZWbiNhhBKKI4EqCyKKBVYUAfbB1R\nrcSnOejaPqvWvE5VdQThoP58OBixkrSRsIpIyJ6wjc629SIIgjWT1pmwVSCb69QGtJj3VjLif0kQ\nIHuUuKoMKagKK6gKRRyJab8sOWbomq/VnHFrn71svu81TSBIx7rHRFQ32Y5jGcOSl4wkbOfMmQMA\nOOGEE/DRRx+hsLAwE7clIrJk+juxPdeouQIoe6IW0JOtZnlj+5d7nyTCpwnwSaKeiLRd1EzuWtdS\n1bizasurwwCco1ojYcUa1RoJKY5RrWZJIjUSbY99hq1XwtYk2mbYOhK2shgtV+SXoCjGTNpIdEZv\nsqNgzSSmKAjwiWaCV0/gQoyWRQ4r+vtaHVGtBLiimaWKjESvKFojYCXRTE7bZs7a7u1uUbwyyInY\nSySbSduayiKnG5O2REREsaqqqvD8888DAGbOnIlbb701yy0iIsoNaZ8lm4rr26+RxIzfmMRtkuWR\nBWtAbvQ5URBqVfULcHbaqxoSJmvdM2vdt3JX7bInFW2bjue9ErUAUF4dRlm1XqnLjNslWURhng9+\nSbSSn4qqIaJqCCkqQsZA8mBEtfofwkEFYeOaoWA0eav3SxjboTDUSEh/TYpitU1TFQiiHn0LkgRR\n9hvtkCEbFbrUiGQNQrfeU+OXU2XMkgWAkCzCr8aWRK4KKzhUGUJ5dcSqPiYbpZBDEQko0O8ZCImO\n96vAF+0VsA+ut4uTe7bE+6yoOTjzloiI0i8jCdvvv/8eAHD33XczWUtEjYY7bxkvJrOXMbb/a36R\nD6saghHFmjFr7s/3AT6/My2o2K4VVqIzbO1r1ZZVRxwB1qFKPWEbCilJjWqNlkRWoUT062iqAk3V\nj7EHTyZBMgIoUYoGU6LkPfo1rEL26deQ/RL8AS16P1sZZJMkONfC9ctG+zQRrpjMkfhUND0ZXhVW\n9NnKgv6+2de+lQQNoqBfz+dRdjnpktlmW13nWjNqERuEu5O02QzHWCKZiOor26XeOTw584LBIAKB\nQLabkTZbt26Foiho164dbrnllmw3h4go6zJSzjgd9/AocVxXgqbVqyyyVxlkc21bQRAATZ8daiZr\n7SWQ482sVeHsZ4gpwWv7ORJnhq21dJLRR2AO+j5UGUbQSLBGQgpUTYMkiQi1yIOU73OURI4YM2yj\nyzApCBn9EuFgBEHjmuFqxdqOhMJQglUAACVUZSVsVVv/g53ex2AkbP35iAT0iheyPwCf4uziNr+b\niqKAoNGvku9aq9Yvi9bM4EPlIVSWh6BGVAiiANknIRSQEMqTo/0RxjJPhRHnIHwg2lfjrhQW+/uI\neVlJ85yV7fF5TPY4oqZOEISsxrFZj6GbqOrqauTl5WW7GXFlJGHbokULAEDHjh0zcTsiopRLVK7I\n+/jYbTM2skoiW+vPKvoatIq+bkpVWIGiamjdzI/igAyfMas0bEuUKpoeYNnLINtHw7oDLAAIVkWs\nUa2RsIJwtdeo1iDUsBEkRULREa6qAtVM2HoETiZ7ACWI0dGvos8PyW8EUz7JKlckh1WoRrDjC8iO\nNXNNkii6ErZ6kBSWVGukrB4E6eWSzRHNiiigPBTBoaow8n0SfKI+wzZg+91IogCf5g5wvb8wxQuQ\ngWjJZfvnxP3Fy11BWdUAERokUfDMM2RjjRjOtiUiomQtWLAADz74ICZOnIhx48ahdevW2W5SSpkx\nbPv27dmZQkRUkyRntCZ1fjrU0L645ZFTkOw1/4K4exTMvy2apukVmGDOoHUu8+NeozZe14TZ3+Ce\n0Wkf5GzfNhOrABzVuoDoTNvqqjCqK8IIVocRrtYTsKqiYmDvNijKk63Y3DzPXMcW0AeMm1W9QsEI\nglXGDNuqMEIVZQCASHU5IiEjYRu0JWwjYc/XqPcx+AAAUiAfstHHoOQVQlWdyxGY8bQkC1b7ivLs\n/Qz6GrzmvxWHg9i/6zAkSYQvICOQL0NR9HuVGa8z3y873jt70ttMhicqSU1ERNl3ySWXID8/H9dc\ncw3OPvvsGpdszbSMJGxPO+00LFq0CN999x1OOeWUTNySiCjj7F/M7eugmtvml3lrLVvbDNtqRUVl\nWEFpZRillWH8WFKBwT1a4RftiuCTBIQVDUFFRdAWBKiu0av20bDmrNrqqrAVGIWDEYRsM2zN5G24\nutIxqlUxg6RwyBEwaQkStvZZtYLxh06U/RB9fmvbDKYi/nzI+Xq1BdknQY3of4r0NWt81jXLzXLK\nYnSGrRlMAUC+T4qOaPVFyyXnySJ8koACRcM3Px/G7kPVaF3oR2Gefh9JAMJm2WRRQNi4dtgoieyz\n/Z2ub2xlL4FsZx8pbf9DnI0krRtn2xIRUbLWrVuH22+/HXfffTcuvvhiTJw4EWeeeWbOBb110bFj\nRxx55JH48ccfEQ6H4fP5aj6JiKgpsidDNQ1abf8GJJusTSY4SyaIiVPuOG555DQwZ9UC0cStBL0M\nkxJWUR3RIHnlj7XYGbfutWsTzbD1mlULwEqyVoWia84C+qDv6sowqitCqCorQ8Xe7SjbvQX9x01F\nM58ERQMqjHVfK0OKY4ZtJGwrg1wVQahK76MIlh1CqLJUP6aqHJHqCn07WAXFSN7GGyRuHxQuB/IR\n8eszpHyRkK2/Qk/c2pdkClnLMCkA9L/nfllEYZ6MPFlC/84SPv50K7Z/8Saad+mNZm27IlLUDKqq\nQRQFlBt9EEV5xvtjS1CbrBm2MQO9nU+4P8ZM5xIRZVYoFMI777yD119/HV26dMFvf/tb/Pa3v0WP\nHj2y3TQAGUrYXnPNNZg1axZmzpyJMWPGNOrSWUTUdCSades1w9YqhRwzw1afWVteHUF5dQRlwQiC\nERWHt23E9mARwipQHVFwOBhBta1UUVkwglIjGVtaGUZ5MGxtV9nKDUXLECkIGwFYJBhCJFipb4cq\noYaCehvDQSjhaJJWVcLGa1CBBDNrHYzkrSjJkHx6ACXKMkRZ/3+/5A9A9hfo23n5kI0gS/ZL8AX0\nP0u+gAy/MXr1cL6MwwX6dmGeDwfz9QCreb4PzY3jmwVkFPhE5MkS/JKAPFmCTwRatuiO7/aUI2CM\nnJVEAaLxAPRkuZlAN/91JtujYksX2da61WKestao9T5X981Xa+ETBeueYq7V9Kxjc44//vjUtoOI\ncpogZHctboAVkbPhmGOOwbBhw/Dxxx8jFArh5Zdfxssvv4xu3bpZQW/Xrl2z3cw6EwQBf/jDHzB+\n/Hj8/e9/5xq2RNRkJSyF7LHvy7Vrk7tGMgnY+oygrSl5G2d/bMLWVTnJ6zx3ks4jDed+JiZxZ/xc\nEVbRo98xUNTY71fmOrb2e9S0Xq49qajatu0J25DRN1EZilbhAoxSxlVhVJWVoergz6g6uEe/5q7v\nsMsYNK5X+NIrW5VWhlFarvctVFWEETQGkgcrQwiW60nacOVhRKrL9e2qcqjhYML222mIxugRAIKk\n9w3IgQIE85oBAPzNmiNY2BLV+Xpit7qZH3nN9O1goR9VRXq/xOF8H5rn+1Dgl9C+MAA59JN+TOl+\niLIfgtgZgihAkkX4ApLj/bFmEdvew3gJ83Rjwpeo7sQsx7HZjqGbqssvvxybN2/Gjh07sHPnTkyb\nNg1/+ctfMGzYMFxzzTUYNWpUVvOXGRn63LJlS7z99ts4dOgQzj33XPzwww+ZuC0RUUZptoedqunr\n0iqqXp7I/DmsGg9FL4NcFVJQaaxFG5BF5MmiY8ZlRNWiD2P92mBY0R8RvSRyWXUE1cEIwiEV4ZCK\nkLHeTDioIFQdRri6Sn9UliJceVgPlioOI1RxCKGKQwiWHzL2lUIJVUJTwtCUcPLJWkA/VlWghoPW\ntYLlhxAyHuHKwwiWH7Qeocoy/VEdsWb+6mvs6o+wEQCWV0cQDCuoDquoDqsIhhVENA0RTYOiqIio\nmiM4EgUBBT4JVSH9fSmvjqAqpFhr/4YVfa0ac9v8vWhGEFxTnKVZ6ws5E7zmIxnmr1eEkHvJWsD7\nA01ERASgb9+++PDDD/Hdd9/hnnvuQYcOHQAAP/74I/74xz+iR48eGDlyJF555RWEQqEst7Zuxo0b\nh4cffhh33303pk+fjmAw+U5lIqKcpKnOR0qvnaLAIdmArL7XyVBiLdmQShDMQXDRuFDVnI9EFE3z\nfKi2h6Ih+jDWblVUTa/YZXuYfQjBKj1hGyo7gFDZQSvRmidLkIx7hiPR+LwqFEEkrCISVvUKX9Vh\nhKrDCJaXIlR+0HgcQvBwCYKHS2qVrPVi9leEK0ut/oZg+UGEyw8iVB3RH0HF6mOoDimoCkZQFYwg\nFFGtQfR+SUR+oZ78DVWUGq/3AEJVYeu9CAej709IUfVHJPoIK/rD/r7qDzgeKjTHI+5rs/U3uPsd\niIio7q6//nps27YNb7/9NkaNGgVZlqFpGj788ENceeWV6NSpE2699VZ88803WWlfRmbYPvzww/jx\nxx9xyimn4KWXXkKvXr0wePBg9OnTBwUFBQnPve+++xr0yGwiani8vgbXNpT1CqasGbbGTnN0a9gW\nIJUHIygpD6Jd8zwU+WTHKE1V1ZO2ABBUVSt5CQCVoQiCYbP0kIqIbVZtyJxtW1XpGMlqlhuKBCvr\nHSjVSFWghPQZvUokCDmgl0fWNAUwyjJpqgqguXWKGacKgoCQUc6o0qcg4NOTx3kR0ZpxnCeL+vuj\naFCl6HvWMt+HQ5Vh+GUJBRG9FFJ1RIFPMmfYitZ7bK71Y0/6anHWs02WGVTFrGeraVaZZ7dEQZsp\nJ5O7RNRkCWAZ9absyCOPxMMPP4xp06Zh0aJFeOaZZ7B48WKoqorFixdj8eLFaNOmDcaNG4eJEyei\nf//+2W5yUrZv346HHnoIADBgwADcddddeOihh3DKKaegQ4cOkOX4oXS3bt1w7733ZqqpRETZ4SqF\nDMDzC0GtZtemKykVr30ez8ddzzZJycRziV6mKAKSCIQUzTPuc69l645j3X0R9hK98Uoi66WCozNr\n7TNswxWlCFWUIlh2AAAg5xUipKhQoPdpKJpePaw6rCIUUhCqji7JFK42+hyqyxGu1NetDRvlkFPN\n7G8AAEGQrNm3ktwSkqy/j76AbPUhBCOqPohb0xBRVRzRthCbmhUjXFGKYNlByPmFkPMLEQr6EDFm\n1oZcM2u9SiInKkntpaZEPBGljzlQJpv3p+wQRRHnnHMOzjnnHPz888/45z//iblz52LLli04cOAA\nZs2ahVmzZmHw4MG45pprcOWVV6J58+Y1XzgFMpKwfe2117BmzRrHcytXrsTKlStrPPeaa65hwpaI\ncpI77Iz3RdsMoKzSu6ozcWuOzAxGVIQi+rovflmEbKz9YyVrNc1K2IYVzSilrAcO1WEVkbARGIUU\nhEOqtR0JVQMwgqSqcmO7AmEjeVur2bOpoCqIGO3QFNVK2AKIrn8rFlnr30mSAkk2ShAFFeTJ+uss\n8EmIGG9uRNEQkY1RqqoZFOlr2oaM9zVojHxVVM1KlpujjM3tROoTR8UbDVvXL2eJOgHSkszV304i\nIqK4ZFnGqFGjMGrUKOzYsQPz5s3DvHnzsH37duzfvx+PP/44Hn/8cQwZMgQTJ07E6NGjUVRUlO1m\nx7V3717MmTPH8dzBgwfx1ltv1XjuoEGDmLAlIqqNpMojJzGMuqZEq6bVIQjLbDBkfwUqnEnbZJLB\niho/YWjfF/RYw1axrT9r/quEqqCEqqFG9GoZ0cHXeiwdMWaWBsMKlLAWPTcUjfv16l7pSdS6KaFK\nRKp9kPx6OctIoAARv2S1KWgmoxXVaLsGVQMCsgRfXjOEK0qhhKoQqSqHEqxCJFQYk8g2E9xeJZHd\na9i6ZWuibLz+KolxPhE1cR06dMA999yDu+++Gx9//DGeeeYZLFiwAMFgEKtXr8bq1atxxx134LLL\nLsM111yD0047La3tyUjCtnv37igvL6/Tufn5+SluDRFR+tm/hLtHuka/yBsJWyOJGLKVz4meq+cz\nVeM8M2EbMZO8RsAQDKtWkjYSiljJ20gwGA2SqsoRrjqsP19Vt/8np5p9FCwAfTgxjBGxor4GjSiJ\nkIwkreQTUB3Rg61gREXYDCitMk/Ge6UCqghIoqC/txFnyaKwL5r4dv8+FFs/QKLRrvbuAsE4LheC\nHXsQz5m4RESUDUcccQT+8Ic/4P7778fixYvxzDPPYNGiRYhEIli+fDmWL1+O2267DWPGjMFNN92E\nY489NttNjpGfn48+ffrU6dzu3buntjFERI1FbbNVtS3bbD++NrNk65TITR89jjP6EVxJWs3Vr+Cu\nGOVmX7dWibNtJh5VI9sYsfoWgoiEqhAxqnMBgCBK1sBn1Yi1g2F96SElolizUcNVldaA8XCG+x/C\nlaWQfPq6tRF/AcLGWoSRiIqwUZksbPQPqMbSSpIoQBAl6xpKqFpP3IYVKIozoe09w9b7sx3v+brw\n+hVLHs8REVHtCYKAYcOGYdiwYSgpKcH8+fMxd+5cfPvtt6isrMT8+fMxf/589O7dG9dffz0mTpyI\n4uLilLcjIwnbV199NRO3ISKqtVSuA+JI0iL2i7t7Zm1YiT5vJm2DEVvS1vbN20zWRozZqGFjRm61\nNQI2YgVGkZBqlSGKVJXbgqTDOZOotTOTtpoWnekrChJE2SxhJCIc0oNnySdFk9TGewAYo2PV6No8\n1rVVDZqx7m90FrOevAWMGbbWbFtYz5mcifeaX4vjeKH2C8UnM2K6rterd/LWvFTu9GMQUY4QUPv/\n31HTIIoiWrRogRYtWsDv9yMSiVj7Kioq8I9//AP/+Mc/cOmll+LJJ59Ex44ds9hap/79+2Pjxo3Z\nbgYRUe6pRRLVsxxyzPXilUeu5xq75vnuxG2C8s25zv5WuSt5uRO41nG2Hx1lkG0ZXvN5s0/BSlAG\nq6yH1QajQpemasa6rRpCiqb3SYSV6GxUWxnktC/B5CFUqQ9WlwIFkMN6GctI2GclXavDetvDimqt\nG6xGwtb5SjiESKhKT9qG8vT9xptp9kPYZylH+xXcM5zh+tk7AZ8tXrdveP9lENWNiOzGsYyhc1d+\nfj5atmyJFi1axOzbvHkz7rzzTkybNg1/+MMfcOutt8YshVcfGUnYEhE1Rsl+sXYHTqrri7w9kWgm\nGM3jNAARTYWq6evXhm0BQjCiojJojF4NqdF1ZkKR6Fq1tiApF5O1dmo4iHBVBQBAkHwQjTVnBEmO\nlkf2KQgb5YyqwxFUh/U/Y2HFTGjrs2wjmgq/kfFWjQS4+wHowa2ZQLc/1xiZyVvOuiUionQrKSnB\n888/j2eeeQbffvut9XxeXh4uu+wyXHjhhXj77bfx6quvory8HK+99hq+/PJLrF+/nhWWiIhyQFKJ\nVlNd46d0JWq9ruc12zbBrFrz9de4lm1N5W+TaV8SvCp4xeMuyRuvJLI9eRsxZ4wqzsStGgk5yiFb\nx6saFOhxeFg1yiFHNL1fIqgfG64qjy7DlAVmkjhSXW71hUQKAtZrDYYVhFU9aRtRtJhS0kpIT1Sr\n4ZCjzDMQu5atfVtNZqR3Mu1PyVWIiKg21qxZg7lz5+L//u//cPjwYev57t2745prrkH79u3x7LPP\n4vPPP8ehQ4dw++23o6SkBNOmTUtZG3I2kb9u3Tps3rw5280gIgKgB0juh5sKzXrYj1NU46E5HyFF\ndZRBVtTo+qqKalwH5hq2RkLSWGclFFFRHY5AiSjGQ4US1h+RYMgaBRup1oOkbAZKtaGEKo01Zyqs\ndivBKv31RVQoYQWRkIpISDVGxEYfZrLWLGlkvneaplnr2NpnMytGAtyclev5iPM7remzYFKRe4FW\nqmfxEhERAXrVko8++ghXXnklOnfujNtvv91K1vbp0wczZszATz/9hOeffx6XX345nn32WezatQsP\nPvggfD4ftm7din/+85/ZfRH1VFFRgeXLl6O0NDPr9BERNSgpWqdWgOb5qPG6NV27puAuw7ziTXvy\n1R27KsYj3vOK5j2QWVE1KIqqP4y4W1X0RyRUFZOsVSIhY0C5avRPGDF2WO+biAQrEQlWQglVAaqi\nP7IoXFWOSKhSf4QV6zWaiVpV1aJLLNleq6YqUCNhPXFr9kcY75O51JLne+vq94l9v+F4EBFRdpWW\nluLvf/87jj/+eAwePBizZ8/G4cOHIUmSNdB4y5Yt+P3vf49rrrkGy5Ytw7p16zBixAgAwPTp0x3J\n3frK2Rm248ePx65du7Bz507Ics42k4iIiIioaROElJYAqlMTsnr3pm337t345z//iblz5+KHH36w\nnvf7/bjkkktw/fXXY+jQoZ7nFhUV4b777sO+ffswc+ZMfP311xlqdXqsX78eJ598Mu677z48+OCD\n2W4OERERERHFIWQ9jmUUm01Lly7F3Llz8fLLL6OqKlr6/4gjjsDEiRNxzTXXoHPnzp7n9u/fH2+8\n8Qa6deuGffv2YfPmzRg8eHBK2pWRTOg777yDkpKSpI//6aefsH79eoRCIWzZsgV9+vRJY+uIiDLD\nXRrZKsGrOkdkqsasW3slHX2GZ7RMj77WimatoaIYI0X17WpEgpXGdjDrI1rrIhKshBTQ14lRQpVQ\nIgX6dkSGYqzjGzFm1gL6+6HZZsWaFE1fWyc62tVZEtmcvVxf1lrIcb7oqai5pEUmZ77WqzyyhqS/\nUyaoMkZERA3cd999h7vuugtvvfWWY23ao446Ctdeey1++9vfom3btklda9CgQQCAQ4cOpaOpdXLg\nwAG8/fbbSR+vqipef/11AMDnn3+ermYRETVJNc6gdR2j5WgneNLLKiV4vfWZleksiRztJ7CWZTL7\nF4y/65qqQAk7Z9hqimLF0YqqIRxR9D4MRUMkrCIS0vsizD6JbFPDQaghozxyOALFKG+sKirCEQVh\nRbVmIquuvhM1EtJn2hpvuvk+aaqzT8e+HbuGbe7M2iYiImD+/Pl4+OGHsXHjRus5URQxcuRITJo0\nCeeeey4kSarxOvn5+ejXrx8+/fTTlMaxGUnY3n///VizZk2tz/P7/WjTpk0aWkRElF7uUkVA/DVS\n3SVyVKM8MqAHdKoKqBqMACIaBJjHAsY6rUbApUUiUJWwfm0jMGloNCUM1QgMFSUMJay/HlXxQTPX\n1VGiSW3VSMZqVlnkaDCs2hK07n/tzLV+7AFwY4+tVGhc05aI6k0AIGb7fyXZvn8TtGbNGrzxxhsA\nAJ/Ph4suugjXX389hg8fXuuR6sXFxejWrVvSCd5M+OGHHzBu3Lg6ndupU6cUt4aIqJFxB1pxyhUn\nk6iNd55n0ta9nm0NA29zSU2JP9WKZ10JQ4+kYsx2RHMcqxmJSzUcsrat60VC+qBoo9xvyBw8rajQ\nVBWakew115DNBWZbNCVs60NRrQHd+s8aNMX1WlXFeDjfH9WjXyFef0+NbYv7Gc/9zyRRQycK2Y1j\nsx5DN1Hz58+3krWdOnXChAkTcO2116Jr1661vlaXLl3QrVs35Ofnp6x9OVtr+KijjsK0adPQunXr\nbDeFiIiIiIiIXLp3745rr70WEydORPv27et8nQsuuAAXXHBBCluWHZIk4ZxzzsEjjzyS7aYQERER\nERGRiyiKOOusszBp0iRccMEF9VqO9V//+lcKW6bLSML2k08+cZTJ8hIMBrFlyxZr/aMWLVrgrLPO\nykTziIjqxD3CtbazMd0jXyO2maDx7mXNAjVm20ZHwNpGeyphaIpRwsiYadsQmbOEtUgEmmbMHtai\ns2o120xkqyQTYmc3m4O1zffX/j4rmma9p6nmLgecTFlkIiKihuK8887DFVdcAVFsnH/djjvuOBw8\neLDG4w4dOoTly5fjoYcewrp163DqqaeiS5cuGWghEVEOauwlinKIYlXySt01NdcMW01VYmbYWrNv\nVXtsbsTqqhZzfC7QjE4BTVGt/gFN1d871VhGSf/X9VoVxfEemEshaVrsDFsiImoYXnnlFRQXF2e7\nGXFlJGFbWFiY1HHt27fHKaecgq5du+L+++/Hbbfdhvnz56e5dUREuUUPHLTYtU9cJZDt+zVNs4IQ\n/RopjNqyRLNFnua2ZpQ9rknDf/VERA2HABZta4qKioqy3YS0kiQJLVq0qPG4Fi1aoHv37jj//PMx\naNAg3HvvvTj11FPxy1/+Mv2NJCLKYUKcMsdUe/VZB9U+QDleglFzD0ZXkk+6moOkNU1PjOZiX4Rm\nLTmV+HV5JZvtz6XiI801bYlySzbjWMbQ2ZHLyVogRyf73HHHHQgEAnjppZdQXl6e7eYQERERERE1\nWaFQCPv370dZWVm9rvPTTz9h4cKFWL16dYpaljsKCwtx6623QtM0zJs3L9vNISIiIiIiatIOHz6M\n/fv3IxyuXwXKzz//HAsXLsS+fftS1LL4cjJhW1BQgCOPPBKhUAjbt2/PdnOIiDJKMP7PLAqxY61E\nUbAejZ0giRCknPwzRURENoIAiFl+NP6/itn1+uuvo23btrj22ms99y9btgyXXXYZZs6cmfA6S5Ys\nwahRozB9+vQ0tDL7fvGLXwAAvvvuuyy3hIiIGhOvvoFUEgQBgu0egiRBkKS03rMhEsRofw0RNXzZ\njmGbQNdu1l1yySVo27YtPv30U8/9f/7zn3HZZZfhv//9b8LrPPDAAxg1ahS+/vrrdDTTIWf/zFRW\nVgIA8vPzs9wSIiJvoiA4HvUl2/5SS66/2qIQm6S131MPsET9IYoQJRmiJANiww2yBEHSH6JoJW8F\nQYAgRh8m+/sjCoL1xy3e70USBes9lgT9QURERHWzY8cOvPbaa1i+fHm2m5JVjGGJqMmzxV8aM1s5\nwYx3JSEaB7v7G+IRPPoT3M+JgqAnMgVY/RFCjq1vb7ZJ71+In3SN93rNRyqkuh+JiIjq7rPPPsNr\nr72GPXv2ZLsploysYVtbBw4cwPbt29GhQwd07do1280hIkpKTd+1owlCwfGzY18Ns2fNxKJkJCgl\nIxASJUCS9W1B8gHW8zJUj3VYGgJR1v9EiZJPf00AREm03itBsL1+8/3zuI4g6u+rbASmjsS4xy/N\nPqm3PvGT+9zcCll1IuekERERpcxXX30FABgyZEh2G0JE1MRpycY5DThhZsayqmisiVrLsN/eH2Em\nMM1B0WZyUpBiE5V68tKo/CXo8bMgApIkQpJFiLIeu0OUgBzpixAko29B9lm/cr2fwKjUYryWmNfq\nev3mLGTBo0+HiIgoFXIuYasoCu644w6oqoo//OEPkFiCg4iIiIgopwlZ7/DM9v2pqdu2bRumT5+O\ndu3a4cYbb8x2c4iIiIiIKAG9MkD24sjsx9CUizKSsH355Zexd+/ehMdomobt27dj8eLF+O9//4sT\nTzwRkUgE//M//+N5/OjRo9G2bdt0NNchFAph4cKFeOutt7Bz504EAgH06tULY8aMwcknn5xT98lU\nW4moZvbSNonK8rr/lYxSv5Io6iM8BX2yrCgAsihaM0l9kgifJEI0/i8uSSJEa1atD5IvT3/elwc1\nHEzLa0wn0ReAKAf0bckH2WfOthUgGjOJfZIAWbKXNRaskbGiUZJJEmDMRI59AM5Syuksi5yLs2uJ\niIgovn379uGll16q8biqqips2rQJL7zwAqqrq3HLLbfglVde8Ty2Xbt2uOKKK1LdVE87duzAv/71\nL6xatQoHDhxAmzZtcPLJJ+Oqq65C+/btc+o+mWorEeUQQQA0zfazETFpquMwc6asAA0p0UDKNOuV\nkJyvWRQEqFr898Gc7BmzvFKcpZfs29byQu4ZtqIE0eeHEqqyjjX3WSWWBQGisYyRKIoQjepYkhyA\nEqpM6vWmlShZ/SOCJEOSzCpdep+KJApWv4B73V5J9kMUJauamft98qyaVssEDKteERGRXUYStn/7\n29+wZs2aWp2zcuVKrFy5Mu7+IUOGpD1h+9133+Hyyy+PWUz4nXfewaxZszBu3Dg888wzCAQCWb9P\nptpKRLVnltg1E7eiq3yOJArwG4GCJApGqV8zMDXXZBUgQU/UAnqy0i8JVpJWkkXIfiNwCuRDDulr\npynhaijhagBoUIlbOVAAKU9/DVJevhUgybItaS2L8Bmv3yeLkM11YOBcC0awJ2oFZ8JWEmJ/L/ES\n7InirlSMihMhQE1VR0QS96qzWpzKwYJERNRQ/fjjj7j55ptrfd7MmTPj7hs0aFBGErZz587Frbfe\naq2pa3rttdcwbdo0PPPMM7j88stz4j6ZaisRNWzuEsf2BG7S5Y9rkoHgxbxFgrxrjcz+hWSrDdsT\niM4EYzR5LZpJTHNAtLE8kST7Icl+hO3X8/mtBKdPEuGTJWvpIkkWIQX0OF7Oy8+JhK0cyIfk0/tC\nJdmWfDUGwfskfbC8JAgxr1WUfRBlfzTJay5DlSBh6+5P4Dq1RERUGw1jaFkW7N+/H2effTa+/vpr\n5OXlYerUqXj//fexcOFCXHrppQCA559/Hr/5zW+yfp9MtZWIiIiIyE0Q9Fkd2Xxkoits9erVmDBh\nAnr37o3i4mL06NEDl156Kd55550M3J0oOS+++CKuu+46VFZWon///pg3bx4+/vhjzJ49Gz179kRp\naSmuvPJKLF68OOv3yVRbiYiIiIjcsh7DZiCIVRQFzzzzDIYNG4bOnTujVatWGDhwIO6++27s3Lkz\n/Q2gWsvIDNvVq1dn4jYpdf/992Pr1q0QRRFvvvkmhg8fbu276KKLcOedd+Kxxx7Diy++iHHjxuHc\nc8/N2n0y1VaipiyZP6L2WYuCEDtk1iy5G/1X3/DL+mhUvyxBEiNWCV/zeuboVVkS4DNO9kkiAj4J\nPp8+7ibskyDJEX2fX4biLwAAyIEgNEV/PqhEkh+GmyVyfqH+b14zyOZr8OdZJZFln2TNJM6TRev9\nkCURsiTos2yNkkbm7GTJmr0sxpZEFoXo70OM/SUnmoma3Gci97DkEhFR7T3yyCP4/e9/D0WJ/h09\nfPgwtm3bhtdffx0TJkzAM888Y1W+oIZv8ODB0OozBSoLDh8+jJtuugmapuGYY47B0qVLUViof7ca\nOnQoLrvsMpxwwgnYunUrJk2ahE2bNsHv92flPplqKxHlEHcZZM9jxJiyyF5qPavWqxRyjs98dDdP\n05xlkWMqeMWpGCXGmWHrl20zbM0Zo2ZlK58ec4uyH6Lsc7ZLlCALAmRRtJYpCvhEhGQJkk+EFDDi\n+LxChCoO621XwsgW2Z9vzfr1+SVIxmsL+MwZttEqXWa5Z8B87ebDqGxmzLQ13zu/FH0PzefcSy25\n+xkkflUkogwpKSnBueeeG1PF9uDBg/jvf/+LOXPm4MUXX8TIkSOz1ELywj8THkpKSjB37lwAwJVX\nXulIgJoeeughtGvXDgDw17/+NWv3yVRbiSiWIDgf8YhmqV7joScXRetnSRQgG0nEgCxa5XXMZKIe\nPOhld31SNKgwk7YBnwTZJ0L2y8ZDgi+/AL78Ash5hZD8+ZD8+fDlFQKipD9ykOQv0BO1ec3gyy+E\nHCjQH34JkiwYDwl+WYRf1ksv5fn0h2S8P+Z6vyL0hK17feCAca75kBy/G0RLIRmPZH6/qZSuZKoI\nwXoQEaWakAOPdPrXv/6Fe+65B4qi4Fe/+hWWLVuGgwcP4uuvv8bo0aMBAPPmzcPvf//7NLeEKLG5\nc+eipKQEgF6a2UyAmlq3bo1HHnkEALBt2za8+OKLWbtPptpKRHWjCaL1qFFdg6V4gZYgpnat2Tpc\nK/nXjoRfRFL5HcV8q8z41WTGrlb/ggDHw84RC9sGM8uyqD98EmSfBFEWIcoiJH++lbS0kyW9D0MU\nBfjMtWB9gnG+T38E8uHLL4Qv3/n/90yR/AV6H0N+IaRAgf7wiVbfgtW3IuuDv2PW/pX9EH1+SIF8\nfRC4JOoln+O8h+ZDdD3qSvR4EFFqZTuGTWccq6oqRo0ahZUrV0KSJPzhD3/A1q1bsW/fPrz++uvo\n2rUrSktLcdlll2H9+vVpbAnVVkZm2DY0//nPfxCJ6DPS4pURDgQCGD16NJ588kksW7YMe/bsQfv2\n7TN+n0y1laix8lx7tI6zKeyXsifGzJGu9nVTAVizQ/XZtbFf9gFANZoiCnpAZLbXJ4sIyCLyjFGc\nlbIESdZn/UiyYM1CVQIF1mhWTVWhafoxkaryOr3GdJCMmbS+/GbWDFvJXwA5oAeFsk+Gz1yf1yfA\nZ7zmgG2GrU8S9YDRFbwC+voysvs9to0+jgnM4nQ4JBNrOT8D2ZfSBC1zvUTUBJWXl2Py5MkAgGOO\nOQbvv/++NcuvRYsWePHFF6EoCl599VVMnz4dEyZMQK9evbLZ5LTatWsX3nzzzZjn165dm3C/+zhK\nj9deew0A0K1bNwwdOtTzmIsvvhjNmzfH4cOH8dprr2H8+PFZuU+m2kpEaWAmMpOZCSuIEGo6Lt7M\n2yRn28a/bpyILMdn1iZif6virWXrjmftSVvHDFuv2aGumaRWwjKQDzUS0tsgStYsX3MwuV/SB1fr\nSV/jGsaAbACIBCuhhoN1fdl14svX7y37CyD79FnCsk+yqqHk+YzZtbb3yz6bWPL5IRsJa9nvXOM3\nYOuTsI6Pu4YtXD+7+iuy/HFsuP81EFEi//73v7FkyRIAwIwZM3Drrbda+0aNGoVjjz0WAwcORHl5\nOe688068++672WpqRqxYsQLV1dUxz+/fvz/hfvdxmcCErYelS5cCACRJwsknnxz3uF/96ld48skn\noaoqvvjiC1x88cUZv0+m2kpEteNI3FnJQefPMSWRJdGRrDXPEUVjRKWRtAX0EsB+WZ9hCwABn4KI\nEUQoEdkK2pRAAJqmJ0E1NRrsCoKEcLWRtM1imWTJXxANpPIL9VnAgD5D2K//ifL5RasksiRLVpI6\nIItW8la2z5IFrJm2iqpFE+KCEJ2dK5qJXiHm92EvUZQoSWsP/+sxcDblOIuWiCh1XnrpJezZswcA\n8OCDD3qWZH3kkUfw2muvIRKJ4O9//zsef/zxTDczY5YsWWIF/nXZT+kTDoetcmennXZa3ON8Ph9O\nPvlkLF68GMuWLcvKfTLVViLKQWagnOwgaXvSNZnkbV1n5mY7a+aiIvr+2OM7FVp0pi2c/QzxSu3a\nZ3lKcbbNhK2ZkDQTlLI/ANmfD9mfj3BFKQBAUxVrJq9oxNoBnwSfFEFIji5h5MsvgBLS43slVIVg\nBhO2voLi6HJL+YXWAHBZFq1lpXxG/4v5/iiqBs3WNyL58yD58yH7JCuBbSa0rQS3/f2M8xmK93xd\n5MKgcCJqGGbNmgUA6Nq1K26++eaY/T169MDvfvc7PPLII1i8eDE2bdqEPn36ZLqZGTN16tR67c+k\nlP6/Pt1r/GRqDaENGzYAADp37oxmzZrFPc4+et48J9P3yVRbiShWTIkaIfqwk0TjYZbaNZKyPuPh\nN5OvsmisYysgFFERMRKsolHqVzYStrKor2UbkEUEZAkBWUKeT09qmrNRfX7ReEj6GrD+PMh5hVZJ\nIjmvGfwFzeEvaA7RF8jwGydBzi/UA6dmRda2nGd7+CXIflF/+CRIPgGST0BBQEJ+QEZ+QIZfFq3y\n0tb6tTDLIpszlDUjSSuhwC9ZyXGrRJGtZJTX7Fy7+pQtEQTB8TDV9c+avcSx+5EWudV/QUQ5RoCz\n9H82Hun6/9TChQsBAMXFxXHX9unZsydOOOEEx/HUcDSWGPa7776zKi/17t074bFmbFhSUoJ9+/Zl\n/D6ZaisRNSDJrENjlkpO9EjmPrVvXB3OqTt7Wtod3yUT78WU6LWXS7Y9HzD6IOwPs+SvWRpZ9knG\nEkt5VlnkSLAKgB7jSoI+mNxcrilaFllP3Fpxf0Fz+AqK4SsoTtn7FPf1W0stGX0LgQB8AQm+gN4m\nc1kpn9GXoA/iBoIRBeHqCuMa+UYp5Xz9dficD79sPqLlkZMpSa2/b8ktrZVq9v6qeH1XRE2NmAtx\nbBrs3LkTq1evBgBcccUVVmUBN3N5H4BxbC5J6QzbUaNG4eyzz8bEiRM9R5/X1cqVK/HAAw/gwQcf\nxKBBg1J23Xh2794NAOjUqVPC4+z7zXMyfZ9MtPXgwYNx9x06dKhW1yJqCLz+XNZ2dIvXF1/zD7E5\nu9McyekTBeT7JYQiKgojMpTCAMqrwyhTIhCb5wHQoklb45yAqAdEeT59BGiBX0Z1WA/tlIgIVdX/\n966q9k7CAgjGyFBBFBExyv2IkoxISA+6lFDQKqGcUqIESdYTw3JePkRjW8rLt2bVynmF8OcZs2oD\nMvwBfVv2S/AbI2IL/BLyZGNWsa0ktGy+P7YZs6Ig4GBVGC0KfMj3RYOpPFmCz/iy4hNtM2yNX7L9\nC1N9vzt5ltw2nlfj9N9yhiwRUe4wZwGeeOKJkKT4a8CfcsopWLlyJbZt24b9+/ejTZs2mWpiRpx8\n8sl4/vnnU3a97t27p+xa9fXll19i6tSp+POf/2wl3lMhFAph7ty5WLx4Md54442UXTcee4xX29iw\nbdu2Gb1PptrKOJYozewli81avR6DVDzLIsctgxzn+Xq3NU6M5fF8UmvXJiBCcMyQjXfbeC9TVQFF\njT8zU9SMwcmCfgErjlWdM25N9qShz9Zp75xha8xA9Tn/9QVk+JoVw19dDiVUjaqDPyNSXa5XB4Pe\npyEJ+mzVPJ+IKr+EiBHTR8IKlEg+AEAJFUKNRPsZwpWl3i++HqyllpoVwd+sOXwFzfXXlhddYkn2\nuyp2SfqgelkUsWNfOcIVpRBECYGilvAXFMOXVwB/QLZmDfsTzrDV/40tiZw4vmfSlIhSbdWqVdZ2\nooqsxxxzDJo1a4aKigrHOY3JvffeG3cZ0boYMGBAyq4VT0oTtjt37sSNN96Iv/71r7jjjjtw5ZVX\nol27dnW6ViQSwXvvvYennnrKWgfpL3/5SyqbG1dZWRkAoKCgIOFx9v3mOZm+Tyba2qpVq1odT9RU\nxfueHS8hGC3LKyLfJyHkVxGKqAgpKg5VhlAtqNbaMACs2bWAnpj0SUK0JHJYRVFeNElrzeZQnf+b\nF4zzBUGCIOkJW0GWrVm2qj8IJayvTaNGwlDN9W9rk8QVJeMfGZIvT9+W5WiS1h+AbARTUl4+ZL9+\njOyX4AtEE7ZmGWRfQEah8dr0JLVobcvme2tbw9akahoqwwry/TKK8vRr5Psl+Iz3DtADLHPbPDfZ\nJK1XMra2ob2mARCiJa9yLlmbY80hohyV4RkCcZqQcgcPHsTevXsBAEceeWTCY3v27Gltb9y4Eaee\nemoaWpQ93bp1Q7du3bLdjLTQNA3vvvsu3n33XVxwwQW44YYbcNZZZyVM0CeyZ88e/N///R9mzpyJ\n7du3Z2TAMeCM8dIZG6biPplqK+NYIg/uZGR91oiNuXaKkq32LxX1uV6NM3Yz8+XFvEtNr8QK4W2v\n2Z3MizfoF7At8ZMgYWhP3ppJRwDINxKS5r/BgNHPkC8jEvZBKWoFJRJCuKockepyVEcUKMa9fLKe\nrK2OSMj3ywiF9EHlvoAMVdEbrKnRmbWCKEGU9fg+XFVer7VtzT4NORBdL9ffrDl8hS2tweD+QLSf\nIc+vV+wyX7/P6KQJKSqqysPG+cXwF7XSH/k+a3au/f0x1/+1v4fmtSTXL81dqjrZmD/e4G8iSqEs\nx7HpuvfGjRut7URxrCiK6NatG7799lvHOY3J8OHDs92EWktpwnb27Nm4/fbbsXTpUtx2222YPHky\nzj77bIwaNQpDhgxB3759407BBoC9e/di5cqV+OCDD/DCCy9YHSStW7fGAw88gGOPPTaVzY3LLM9U\nU5Auy9G3zzwn0/fJVFuJKFbsF2jNtg8x21aiVoomagEgIGtQNA2FeTIUVYOiajggi2je/Wh07dEa\nPklAWNFQGoygMqwHP5VhBeXBCA5W6UHFgfIQDlnbQRyq1Lerq8IIVun/zYeDEYSCirUdDhrPV1dC\nCZozbKugRIyEbTgENRJN3prruWgea94KRpJWECUIxv/nRdkP0ee3tmW/PrrWLC8E6CN3zZm0vjwJ\ngTw94PLnywjk69vFBT60KNCvU5zvQ+tCfbtVMz8KjXVui/NkFPgkBCR91q35nv2wtQSFgWiyNk8S\nkSfZ1rAVhZjA1h5AObYTlUv2LHVkPzd2v6oBA489Dn4puXtkWg41hYgoaRUVFQln1bVs2TLpa9nL\nr7Zv3z7hsfb9LNvasBx77LF44okn8Kc//QmLFi3CokWL0KFDB4wZMwZnnnkmTjzxxISzOlVVxYYN\nG/DFF19gwYIFeO+996x467TTTsNjjz2Wkddhj/HSGRum4j6ZaisRpYY54zRmlizgnGVrOP644zyv\n43k+kHzSOJnkbW2CmDgzaWNm2Lp+1rxm5bqapnrNNIb7GPc1NCgacDiooCqiea5JKyJaMtmcaatZ\nzfF+f+wJRNExqzZ6AzMBWWAkJMttM2wD+So0tUhvcziEst3lkDr1QiefBEUDKkIRlFdHcKgyjAMV\nIew9XA0AKCsLoqpc70+oKguhulLfDpYdQsiYYRupKkfEKEMcCVZBMSp/efU5AGayV+8PkAN6qWYA\n+ixgo9yyr1kx8prlId/oNygoCljb7ZoH0LZIP6d1oR/FBT7kyRKqIwoi/goAXyJQ3Ab5LTsgr1ke\n8gp8COT7rBnH5vsTkGMTtvZKX5nEsJ2ocUgUwwLpjWO//fZbxrA5JKUJ28GDB2PJkiV49dVXMXXq\nVGzatAlvvfUW3nrrLQBA8+bNcfTRR6N169Zo1aoVAoEADhw4gAMHDmD79u3Ytm2b43rNmjXDpEmT\nMHXqVLRo0SKVTU2oWbNmKC0tRXV1dcLjqqqqHOdk4z6ZaOuBAwfi7jt06JBjRgFRY+U9utEZEMUb\nuWpum6V3zODNDNBEQV/LtsAnoTjgg9pCQ/9OzZHvk7C/MgSfJEIUAEXVHLNzA7KE5nnR+1jleSQR\nhUbis7w6bCVvQyEFYVvCNmIkfyPhfESMUbCKokKJ6CGgqqhQjI4xTVWiCVvFI2Er2RO20W3JLBUk\niRDN8sU+CbIxS1b2RxO2sk+0Rr4W5snWjOHifH90u8BnzbYt8ElWoCQKAhRVQ1hQEQ6pUDWgOqKi\nW8sCtCsMWGvJBIxRtAEjIM0z1uoBokGXPTD2SrybvJKw7s+J/Rj34T5RP17R9OMExAb2GQ/2GO0R\nUQN3++234/bbb4+7vzbriZaXl1vbeXl5CY4E8vPzPc+j3CfLMm655RaMGzcO06ZNw5w5c/Dzzz9j\n5syZmDlzJgCgR48eOOKII9CqVSu0atUKwWAQJSUlOHDgADZs2BAz87Nv376YNm0aLr300oy9DnuM\nl87YMBX3yVRbGccSZYg9oSnoidlalRW2H5soeVufYKWG9sRtbz3LIwPeaVRVc34nUTVA0QBF0/Rl\ne3wCVE2Dhmi/gVmdSTBKIStmNWrjGtbAcNX5PvlsQWmeLdg142oAaFGg9x+EFOf7f8gvIa+ZD+Fg\nHiKhZlB7tIcknYTVWw+gbVGelcBUjEb6ZdGK3RVbRlqSRPjy9GPzCvwIVuuJh0go7Bg8bg0Yt/U/\n2Ol9DHryVfLnQwro379kf8DqSwjk+/QB4EafSCBfRrHx+vL90ddcFVKsAfM7D1aha582aNN5LNSI\nCkHU1+L1BSTk58m2QeN61TDzeuZyTUC0P8Enut9/52fI/TFmCE5EmqbVWBkm3XEsY9jckdKEremy\nyy7DpZdeig8++ABPPfUUFi1ahEgkgsOHD1vrQCXSv39/TJo0CePHj0fz5s3T0cSEWrZsiV27diUM\n8ADnyIe6JJRTcZ9MtLU2IziImhJ3wi5e/Gge5x5xaX6RV0QBkCWIigqfGP0D7PMYUmtfF8UnCVYw\nlu+XrIBIiVMnqUwUrBG1kiwgEtaDi0hIQcRIoOoJWyOhHFGhaj5r26QmqMMkioJVdlmSxOi2LEI0\nGi/7JdvaOKK17fdL0WSsX7KSzgV+KVp6SBatgMdMwtqpWvT9loRoklwSzPdMn10bneUsWNfz+v0l\nu56MVxifKFnrdV3N47hMYaKWiOpD0DQI6VhvLofUVJbOvr82wTTljpYtW+Kxxx7DAw88gOeeew6z\nZ8+2SoNt3boVW7duTXi+z+fDxRdfjEmTJmHYsGGZaLKDPWbLVGxY1/tko61EVH8JZ9qmiseM3ZRc\nM0W8ZtfWhlcoHU3I6huCIECApq+Fq2mQBD1WVOGcyWvGlJprpm2iNVRlWx+DPZFoDv7ON2JzMxYH\n9H6EkE+yBnZLsgi/rPc/hCIqJFGw+iAkUYheyy8hEtHje/uvVBCifQYRn4SIX79XJJRvJWztg8Q1\nVYkOCpeiM2wlWXasuWutM5svwx+QrTLGAb9kG5wtOGYch8zXJApoUeiHLIuIGM/Jsoh8vxTTN2F/\nv3y2Dglz010SOfb3gTpLtkwyyykTJSfbcWwm7p1sHMsYNnekJWEL6L/sESNGYMSIETh06BCWLFmC\nzz77DGvWrMGePXuwb98+hEIhtGnTBm3btkWvXr1w+umn4/TTT8dRRx2VrmYlpVevXli/fj1+/PHH\nhMfZ9/fu3Tsr98lUW4kaukx/XXUk6wTnv2ZgpErmH0MRkqqPpFWNMkhmglEShWgCUhSsNWAkUYCo\nRpONPlGzkprmKFE3SRRQaQQWVSERIUkPgkRJsIIbJaJCMUbVqhHVSs5qmmYFWV4JW3tpJTMediRs\nbTNsJUmE7I/OtjXbrSdm9T9L+X4JRbbZttaaOj7JSsL6pOiatZIAx3ul79cLRok+yQqezNnKjqSv\nubaw8SlxzKq1v8aYV117zs+FEPNcNjCWI6LG5PHHH8fVV1+dkmsVFhZa2/ZZfl7s+4uKilJyf8qO\nFi1a4NZbb8Wtt96KTZs24dNPP8Vnn32G77//Hvv27cP+/fuRl5eHtm3bokOHDhg0aBBOP/10nHba\naVn93dtjvGRjQ7/fj+7du2f8PplqKxGlR9oTt8nOuE32GgnUd2atV/+2VznkGq9j2xYF/bqqACtp\nKxjPq4iWQlYFM8HrvIh7DVuvpKL7eTPe9pod65dFhCIqIsZzspGUtScmzW2/pCdzASAgqwgZ13X3\nIUQHkouQpGjfgKbqM1gVxfv3LghCnCpeYjRhayRr/bZ1ec02+SURskcAnu+TgAI/ArLoSj7r/RVm\nItu91q896W0OuHfPsPUqbe14L+IE5NnuJyCizBEEASUlJSm7njuOLS4ujnusGccyhs0daUvY2rVo\n0QIXXHABLrjggkzcrt6OOeYYLFy4EOXl5di4cSOOPvpoz+NWrVrlOCcb98lUW4maEq8vxopHzBVT\nIte+z/F8NKkIAMZ3faiaeYYKURCgivpatm6SLQKLzrpVoYgCVOOieVr07orfVnrINoLUDDgAICBH\nrORtKCJZo0idJZG1aMJW1aB5JGpVTXMEGIJthq0oClZSUpIFiEbb9RG50VG30VGq0UCoyJ6ktc2w\nDcjO9WfN90MUbIltY+atomkIyKJr1q3gSPT6xGigaa01nGR6P5lEp+Nz4JGsrYn7/U01JmuJqLFp\n1qxZymbVtW7d2tquaU2fvXv3ep7XGHzwwQeYOnUqRowYgWnTpjWYa6dCnz590KdPH1x33XXZbkqN\nWrVqhc6dO+Onn35yxH5ezP39+vVzrBGbqftkqq1ElF6aIHombeMlQeMdn1AKZ8e61apsc6rvXUNS\nVxAEiJpmJW0BMzaMrmFrJmjNONOKZ11Bnj2B64szw9aMw0N+o1/AlrQMRSQomuZ4Lt8nWYlbx72M\nffZrmMwkrSDClmhVHdW+7IPE7f0Pjj4G2wBxz2WXfFJM9S57xS57/4ipwC9ZbTf7ZCRjAH3AmGkL\nxCZq7UnvZNewZQxORF5SWRnGHcd26NAh7rFmHNvYYlgAuOWWW7By5Uo8+eSTOOGEExrMtRnxeDj/\n/PPxpz/9CQCwaNGiuEnQRYsWAQA6deqE448/Piv3yVRbiXKB1xdbrzjH6wtyvFGuySZnkz3Oqw3m\nGjP2pCEQXeNEVKLJWq92OgeXmtcSPEsm62RHEGJuB2QRlcZatfl+CfnGdiiiIGgkaUMR1QqsQhHV\nCpLsI2ITBZeCINgCsei97YFRwJGwleE3XkeBX3Ikcu2zas33Kk+KrjlrljfWtwVIguB4363Zt6Lr\nZyFaElkUhGhCXTRfA2KuYb62RK9bP972nG1/XZK16ZQDTSCiRkVLffnCWjch9SWcWrdujTZt2mD/\n/v344YcfEh5rL5cb7/t4Q1VaWooVK1bgiCOOSPm1f/75Z6xYsYIVgFLk/PPPx5w5c7By5Urs2bMH\n7du3jzlm06ZN2Lx5s3V8tu6TqbYSUQ3qOZu1tknPjJRVTrINcXnsr28pZC9e5ZFFmDNrARXRpK2m\n6bGpmbQFoqWQzZm20bjWlSi1J2xtgWnAlmwNq/q2meS0x/H2PgKTGbfbk56Kqjl+LnT1S1jVvmQR\nIaMvQlVUKEbZZD1hGx0wHn2fooOY3QPErWWXfJI189YcFG6v3mUmke19Ee4Zwu7ks/15e98EEF16\nyf5++kRnv4IppiSya4B4Lsbm6Rw0TpRbshzHpune9nj0hx9+wC9+8Qvv22uaVc2mscWwAPDdd99h\nxYoVNS7BUhfffPMNVqxYUWMlrrrI3nCyHDZ48GAMHDgQADBr1iyUlZXFHPPZZ59hyZIlAIDf/OY3\ndeqAT8V9MtVWIiIiIqKmZtCgQQCAlStXJhyw9MUXXwAAunTpgnbt2mWkbZlilsfauXNnyq+9bds2\nAEDz5s1Tfu2maMKECQCAcDiMv/3tb57HPPTQQwAAWZYxfvz4rN0nU20lIiIiImpKzBgWAJYvXx73\nuHXr1lm5JPs5jUVDjWM5wzaORx99FCNHjsTOnTsxatQoPP/88+jYsSMAYOnSpRgzZgwAoH379pgy\nZYrnNcaMGYNt27ahqKgI77//ftruk4prEFHtuUe82AdDCLZVaNwza2GOeFWNUaKyPjpW1TTHbFpz\ntq1PhDH7FhBVc5aoBknVHGvQ2EvwmDNI/VJ0NGhVSLG2QxEVoYB+s2BERUiJlj4KmeWR1ehIWkXV\nrDVrEpFdJZglMTp61RrJKkS37SNc7SNX/bKIPCk6kzZgG8EakCVr23ydemlj50hQyfZ+6G2Ivk+C\n7Xdi/n7cpasB92xb52tNZsST+xz3gJma1qVJ5chWjtUhorTRtKzOlEmniy66CIsXL8aBAwfw4Ycf\n4swzz4w5ZufOnVixYoV1fGPTs2dPAHpp2jfeeAMXXHABRLH+436/+uorzJ07FwBw1FFH1ft6BJx4\n4okYPXo0XnrpJcycORNdu3bF7373O8iyjGAwiL/+9a+YP38+AOD6669Hr169Yq7xzTffWCWgx44d\ni5tvvjkt90nFNYio4bLPcs3Ed4ikZgKnoUSyPYKuKZwWBMExOEwvfxydZQtE17TVjzee05wzaxXN\nGfjZy/baq3TlydF7RRRXaWMhOsNWUTVHv4B+L+c97PvNfaGI6pip65f1WbUFfmeFr2j/g+ao8GV/\nL+xxtFnRS7ZV8fLL0T6DfL+s9y3YZtXWVBLZi1mtTBIFqwSyObM2em3JOt7eN+G4jisQTzYuZ/xO\nlH6CpmY1jk3Xvbt3746BAwfim2++wauvvoqHHnrIcwLfK6+8Ym035jj2qaeewogRI9C1a9d6X7O6\nuhrPPPMMfvzxRwiCgCOPPLLe13QTtJoWTmjCHn30USvB6fP50KdPH1RUVFglz4qKivDBBx/gxBNP\n9Dz/6KOPxqZNm1BcXIxDhw6l7T6pukZdHDx4EK1atQIA/LRrV0rrrRMlI9n/g8Uriez1rLvcj35+\n7HHuBKa9RLL9Gubz5looZlJWNe6uafr1Nc35nLvtYdsNwqoKRdX/NfeFVfM41dqOKCqqFfsxsYlZ\ndxlkrySt4/V4vBnuckKAV/I2tjyy35aw9YmiI8iJbkfLP8duR5OyZklkewkie3LWTMgKgnOdn2hi\n12i/I+kbvZYsOb/c2I+zrud6XxKVQo5J5iJWfRO2DPKIGoeDBw+ic6dOAIADBw7kzPetq6++GvPn\nz8d999yNB6b+PqttGXneBfjk00/x9NNP49prr03ZdUtLS9GzZ08cOHAAJ510EpYtWwZJkhzH/OY3\nv8Fzzz0HURTxzTffoH///im7f67o0aOHNYo4EAiguLg4uhyAKKKoqAgDBgzAXXfdhSFDhqC8vBwP\nP/wwPvroI+zatQuhUMjR8VpWVobKykoA+t/HDRs2oE+fPhl/XY1RWVkZzjjjDKxZswaAXtr7iCOO\nwNatW1FaWgoAOOOMM/Duu+/C7/fHnL906VKcdtppAIA777wT06dPT8t9UnWNurLHsbt++iln/r9K\nlDMaeAd2rdenTXB8vHLI8foi7H0P8RK2mjEg236c3idgJCxt14//vJmghfGv2QfgbE91JPp+VoaV\nhNtmP4KZUFU1Y+kmVXP0d7j7V6J9HfH7Gczn7QPGnf0Pakxi2Iu9j8FvJEwlUbCWWjKTt/aB4fZt\n63yP5ZT0543nRFsfg/FcwBp47iyNDAAFxhq6BT7n90S/q0Zynuz8PPnjJI7d/Q+AswSzu712XomZ\nePnpVPdDsA+CTLkawwaDQeTl5QEAtmzeaLUxG7Zs2YL+xxwHQRCgqqn9u/vMM89YgzDnzp2LiRMn\nOvbv3r0b/fv3x8GDB/GrX/0Kn376aUrvnwvcA66Li4ut3z2g59Datm2L4cOH4/7770fz5s2xevVq\nzJgxA9988w0OHToERYn+rVQUBQcPHrSeO+200/DZZ5+lvN0siZzAXXfdhXfffRdDhgxBOBzGunXr\nsHXrVuTl5eHyyy/HN998k5IEaCruk6m2EhERERE1FcXFxXjwwQcBACtWrMBFF12Eb7/9FqqqYvv2\n7Zg0aRKee+45AMCNN97YKJO1APC///u/yM/PB6B3cuzduxd79uzBnj17sHv3bmzevBmvv/46zjzz\nTGzYsAEXXnghHnroISxfvhzbt2/Hzz//bB2/Z88eR7L2D3/4A5O1KVRUVIRly5Zh6tSp6NChA0pK\nSvDVV1+htLQURxxxBB5++GG899579U6ApuI+mWorEREREVFTMmHCBKvM8Y033ognnngCpaWlCIfD\n+Pjjj3HGGWfg4MGDCAQCeOyxx7Lc2vQYPnw4xo4da/1cWlrqiEl37tyJtWvXYvr06Vb+7PTTT8eL\nL76Ib7/9Frt27XIcv3//fitZ2759ezzxxBNpaTdn2CbpwIED2LlzJwKBALp27Wp1WCTy9ddfo6qq\nCrIsY/DgwWm7TzqukSzOsKVsS8cMW6/BnF4jPBXN/bNtJK3HbFslzkhYa4Ssa3at6tqvl0WOztI1\nR7sCztmzqqbPsgX0EbLmtqLpM27Nbet4NTo7V9Fiyx0l2nZzz7R1zLD1KNksCYI1SlQUbduC90xa\nSXCWQbaXO05mNq25z9oWoiNKrWvZRoQ6Xk+C8sZeo1rjza71GtkabxBqXUa2ckQrUeOTq6OTozNs\np+CB39+X1baMPP9CfPLpZymfYWu699578de//tX62V228JJLLsFLL70EWW68K87s378f7777Lr7/\n/ntUVlZao8BVVcWePXvw3nvvYf/+/RgyZIi1VtJxxx2H4447DsXFxVYZZVEUUVBQgK5du2LYsGHo\n3r17tl5So6eqKnbs2IEDBw6gTZs26NKli+esG7uysjKsX78eANCpU6ekSofV5T7puEZtcIYtUS00\n0mUPACRVBjldM2zdz3vNsrXfx9wX+7yzf8FdCSxs+7k6HP1d2mfeBo1+gmrbzFpA71dw92PEm23r\nnomralqcpZec2/GWYbL3O9jjctmjipdXRS9rVq0kOmJ90TbD1t0HINr6I6zjbX0T7pm29hm2Acks\nu+yaQevqLHDPqHXPwDX5PJ72KuPMGbaUq3I1hnXMsN30bZZn2P6A/scen5YZtoA+i/bMM8/Et99+\naz1nj2Pz8/Mxf/58XHbZZSm/dy5Zu3YtlixZgj179iAYDFrPB4NBbNy4ER999BFUVbXi2IKCAgwd\nOhTdu3d35NVkWUZxcTH69++Ps846yzFbN5Uab49CirVq1coK6JJ1zDHHZOQ+6bgGERERERHpHn74\nYYwYMQJPPvkkli5dipKSEhQXF+P444/HNddcg1//+tfZbmLatWnTBldddVXc/aWlpRg8eLCVrP33\nv//dJN6XXCaKIrp164Zu3bolfU5RURGGDBmS9vuk4xpERERERKTr2LEj1qxZg1mzZuGFF17A5s2b\nEQwG0bFjR5xzzjmYPHkyevfune1mpp05iDieN954AxdffDGWL1+OI488EkuWLEHHjh0z2EInJmyJ\niJLgNRoxdkBt9CAFHqNBjRGi1ppvrpGqmnG+e2atOfNW0gSomn6MJurPm8eERQ2qpg/BVDQNYUW0\nrm2fhWsffWvOvNWPcbYFiD9yNhGvtV8AfaSqe5Sq+d6Y2z7bqFhR0GfQ6sdEt+1r1Jrr1gJwzpj1\nmGVr7gP035K9ndHjYbXJvU/fTrwGrfu5ZI5PNPiUs2uJqMHQkHzJiwZs2LBhGDZsGAB9NqA5Y5R0\nxcXFuPrqq3H//fdjwIABTNYSETUW7lmoDX3GbS3Wt403u9ZLTfGyKERjfXelDscxMPsLjBmttnhV\nhQBzhVTN6nMQrGe82qzafgzI3q/djLHNildmH4KqSVBULWYWb7Tyl+b8WfOeiRtWVahq7DH2Cl/2\n67m3PWeW2mfYumbLmuvPmq/JPnPW0U/h0S9hzbYVBON5OKqFAbCqftln2Jptca8zK8X0C9TcTwB4\nz5JN9tMY75qpxv4HavA0LbtxbAbunZeXhylTpmDKlCkAGMd6ueiii9C9e3ds27YNN998c1aTtQDX\nsCUiIiIiIqoVBrnezNmRTWGkNhERERERUUPCONabuQxMLsSxnGFLRERERERE9darVy+MHTsWJ598\ncrabQkRERERERFSjc845B0cccYSVuM0mJmyJqEnzquDiVT5G8ahS4T7Mfp69qoVZgsgskSOYJY/N\nUseCANV2niQYJYIEvaiRZCuVbC+TrGmCVVJJv4ZmXUOVzRJFznJD0dJF7ueN12krO2Qv6eT1+uPx\nKjFkf/32kkL2YxKVPraXOU5l+WPB0Q7nMfprid1vXcu2HT03yfJG3k8b57AUMhE1NFr2yyM2gZLM\nDcGQIUNqvf4pERE1MIlKCmf7+4CXWpRANiUqhVybrxwCvJZScjJLJZvHWisqeZRGlgR7n4ARR7tK\nI0ui+47er0XwRd8Xn9FpoRj1lt19CMZqSp59CICzNLK9bHL0+ei93GWT7c+b4pWXdsfKVvliW0lj\n8/l45Y5r6qOw90+YP8criSw5roWY5+xtjPdzfWN5r9LJnsfV7zZEjZOmZvfvVi7+zWyi7rnnnmw3\nwZKROdC33HILRo4ciRtuuAFVVVW1Oue7775Lc+uIiIiIiIiIor777juMHDkSI0eOxMsvv1yrc265\n5ZY0t46IiIiIiIgam4zMsP3888+xZs0aAMCaNWvwn//8Bx06dEjqnNLS0kw0kYiIiIiI6kDQNAgc\nHUyNTGlpKRYvXgwAeO+99/Ddd9/h97//fVLn7N+/PxNNJCIiIiKiOsp+HMsYmmJlvCTyqlWrcOKJ\nJ+LNN9/EwIEDM317ImpkvKq/eFXPiVdmNl6pndj7xJ4vuoob2UsCSbZauO4SyNFLCVZ7BVsVI03T\nrDI69j/dmmZvrwDNdk9Ncx8br4yyvb3R8sju5wC9zJHX8zXxeq/dJZAlMfZ4QYgtbazvR9ySyKa6\nlD6OuU9Nx7pek/M6Hp8Pj49cTWWIalMOmWWQiYiIMkPTNEydOhWbNm3C3Llz4ff7s90kIqLcVIfy\nw/UqCVmX+9UgUTnkRMxYLlHsbJU71qIxpKZpjrLIQM2lkYFoaV0z9jc7B9yxqeDot7CV8LU9q5ht\nEc17Rpdbsr8mr9LIXvvN55x9Csa9UrAME5DcUkz6ca5yyaLHObZj3Pu9+ikSLacUUwLZ1THg/jne\nJ9irPyHekktERNR4ZKQksmnatGlo3rw5duzYgVNPPRVvvfVWJm9PREREREREaaKqKvbu3YvNmzdj\n165d2W5OSgwcOBATJkwAADz//PM488wzUVJSkuVWERERERERUSpUV1djx44d2LRpEyorK7Palowm\nbEeOHIlly5ahW7duKCsrw0UXXYRZs2ZlsglERERERJRSmj47JpsP1HJaBqXUV199hSuvvBJt2rRB\n+/bt0adPH9xxxx2OYzZt2oRJkybhiSeeyFIr68bn8+Ef//gHHnnkEQiCgCVLluCkk07Cpk2bst00\nIiIiIiKqq2zHsLWoZkipp6oqnn32WZx00kkoLCxE165dcfTRR+Pzzz93HDdv3jxMmjQJq1evzki7\nMl4SecCAAVixYgUuvvhiLF++HLfeeis2bdqEWbNmQZKkmi9ARJRmXlVmvErPqHCXsokt9wPYShWZ\nJXVcf481aNYxqq0FmhYtU6RqMMol2+9vu4YWPU/VNEe3dbRscrS9eokjwXZubLvd+2rLXUkqfini\n2FLG9uPtlxEFwbOMsX5u8mWPE50Tr8qQ+zMQ736OY+Jcy3nd2tc1YjlkIiLKFbNnz8bNN9+MSCSS\n8LhOnTph3rx5KCgowE033dTgYr8pU6agV69euOqqq7BlyxYMGTIEr732GoYNG5btphERNWxpKGtc\nF3UthVwTe5ljk1kCGYjGlfH6E6xYUxCg2voINHeJZNG7vwGO5Yii24pXn4W1nFKU2degarBubl92\nyXmcq8xxEssvee1PhjuOdi/DZD3vsRwT4Fx2yf6zflziY+L1VejtcLYzpkR1Dfut5z2fjVXfMsl1\n6Y8gImroKioqcPHFF+ODDz6o8djKykrMmTMHeXl5GDx4cNrblpVvRe3bt8fHH3+MK664AgDw97//\nHeeddx4OHz6cjeYQERERERFRLb333nv43e9+h0gkgoEDB+KJJ57AlClTPI8tKirCqaeeitLSUqxY\nsSLDLU2NUaNG4bPPPkPHjh1x6NAhjBw5EnPnzs12s4iIiIiIiChJEydOxAcffABJkjB27Fj8+9//\nxnHHHed57LnnngtAj30zIWvD2PLy8vDiiy9i6tSpAIDFixfjlFNOwbZt27LVJCIiIiIiqi0tF0oi\nUzbcfffdUFUVo0ePxpo1a3DLLbfEDXQB4PjjjwcALF++PFNNTLlBgwZh5cqVOPbYYxEOh3Httddi\nypQpUOmj8YQAAJeKSURBVFV+DomIiIiIGoxsx7CMY7NizZo1eOmllyBJEhYsWIB//etf+PWvf41W\nrVp5Ht+zZ08UFxdjw4YNGZlwmtW6I4IgYNq0aZg/fz78fj/Wr1+Pk046qUEH8ERERERERI3dtm3b\n8NVXX6GwsBBz5syBLOur7cQr7QfolZYA4IcffshIG9OlS5cuWLp0KS644AIAwKOPPopLL70UlZWV\nWW4ZERERERERxbNgwQIAwLhx46x4DsidODbja9h6GTduHLp3745Ro0Zh7969OOOMM5CXl5ftZhFR\nA+X1/9d4y6F4rdfhtXZKMuva2te0ta9bormu576Wfa0cCbb1aqx1ZOxr3DrP9l5/VrDtt62D4zjP\neZ1468XUYwnbBGvBJl7DBaj92rTucxKdF6+NXsck+mPteXzco81zuF4tETVGWvZHB9dn0XWqk40b\nNwIAhgwZguLi4qTOadeuHQCgtLQ0be3KlGbNmmHhwoWYPHkyHn/8cSxcuJADj4mIGph0rFsrCkLc\nPgX3OrYmVXPFr65I3Iz1JcF2DcG5Zq1m7ImJk22xv31tXMnel2D8G12H1nkN+4/2ffZ+heh6toLj\nWl7nRc+Pfa4uYl5zzDqxtn2I3x/h6G9wXM/7HK9+C/e9a1rT1r3fqy3xzo0nHV0I7JegRinbs1yz\nHUM3UWYcO3LkyKTPadeuHTZv3pyRODarM2ztTjvtNKxYsQJ9+vRBdXU1Dh06lO0mERERERERkQdz\nNmnz5s0dzyfqTKyurgaARjM4VxRFPPbYY5g9ezZkWcbPP/+c7SYRERERERFRHLkex2YkYdunTx8c\nc8wxKCgoSHjckUceieXLl2P48OGZaBYRERERERHVQZs2bQAAP/30U9Ln/Pe//wUQLSmVywoKCnDM\nMcegT58+NR57/fXX4+233056pjERERERERFlXm3j2EgkYs3KzUQcm5GSyP/+97+TPrZFixZ49913\nsW3bNgDAEUcckaZWERERERFRvWkaoLKcU1NzzDHHQJZlrFmzBjt37kSXLl0AxB+ZXFFRgZdffhkA\ncMopp2SsnXXVr18/fPXVV0kfP2LECGzZsgUHDx5sNDOIiYiIiIgaLU3NbhzLGDorBg0ahOeffx4L\nFy7ENddcYz0fL4595ZVXUF5ejo4dO6J79+5pb1/OlES2k2UZRx11FI466igEAoFsN4eIiIiIiIhs\niouLMXLkSEQiEVx33XUIh8Nxjw2Hw5gwYQL27duHDh06YNiwYRlsaea0bt0aRx11lJW8JiIiIiIi\notxxySWXwO/346233sKLL76Y8NiNGzfi1ltvBQCMHTs2E83LzAxbIqKGRPQYUaNqWsxz7qPEOKXu\nVdeRkus4zXVtSQBU+1NGezQAUky7vO8ZvWb0ZvHGbemHxq/TX9O93OK9D3bxlgWIN4rIa5ST1328\nLpuoPcle1/PcGvZ7fY6Sum7dTiMiyh5Ng6Bld3SwgCT/SFFKPfjgg3j//ffxzjvv4OSTT8aUKVOw\nb98+APp3kR07duCTTz7BjBkz8PXXXwMApk2bxhmoRESUNVo9Ay7zdI8uAosZC7r7Eex31hzHR7dV\nLTZOlYTYfgMzPjf7F8zXlajPwH4Nez+F+7WomvP+MfdGLE1Lrh8FQFq+tcX7rbrjcq9fv1c/hP13\n4O4jSHQN9+8u5tyY9nnc3OM68Y5N9tNc1/4JosZMyHIcKyT6Q0Jpc8QRR+CWW27B9OnTcdVVV+GT\nTz7B1VdfjVAoBACoqqrC2rVr8dprr2HWrFkoKytDu3btMHny5Iy0jwlbIiIiIiIiqrWBAwfi+eef\nx7hx47BmzRqMHj3a2vfyyy9bJZBNN998s6PsFBEREREREVEmPfzww9iyZQsWLFiAOXPmYM6cOda+\nCy+80HFs8+bN8eqrr2Zk/VogR0siExERERERUe67/PLLsWzZMgwdOjTuMZ07d8a8efMwa9aszDWM\niIiIiIiIyEWWZWsGbceOHeMed9ZZZ2HFihU47bTTMte2jN2JiIiIiIgaIQ3IcklkVkTOrkGDBuHj\njz/G1q1bsWTJEuzcuRPV1dVo3bo1jj/+eAwZMgQ+ny/bzSQiIiIiItJpapbj2CzH0E2cIAi4+eab\nMWnSJKxcuRJffvklSkpKIMsyOnfujKFDh6JHjx4ZbxcTtkRERERERFRvPXr0SCqora6u5jq2RERE\nRERElFU+nw+//OUv8ctf/rLGY4PBIAKBQFrbw4QtETUJguD9fLLru4seF1BdJ8e5BSRjR9xbGddW\nbQdIHhfTPBprP85+vtcLTualqmmcoSTGe4M8JDq0pusI8X7ZyZ6feHeca9blrPifSyIiosZo3bp1\nePTRR6GqKp5//vlsN4eIiJoILQ2BlyDU3J/gjhPtfQheLdIQP15VXWdY/QyuRrhjenufgf19EBz9\nB652xLwwo8/Cq80J3gNVq9377tXn4VZTvO+WKP73upTX2oHx7ul17Zpa5z4nldeOnlu/zzv7KYiI\nohRFwcsvv4xHHnkE06dPx5lnnpnW+zFhS0REREREdadpyY+ASl8jsnx/SmTp0qV45JFH8NZbb0HT\nNIwePTrbTSIiIiIioqYs23Fs1mNoSqSqqgrz5s3DjBkzsHXr1ozdlwlbIiIiIiIiSsrhw4exePFi\nbNy4EaqqomfPnrjwwgtRXFwcc+w777yDv/zlL/j8888dz3fu3DlTzSUiIiIiIqImbtOmTfjggw+w\ne/dutGzZEsceeyyGDx8ec1xZWRlmzZqFJ554Avv27bOez8/PR8uWLdPeTiZsiYiIiIioHjRA8yqS\nR43N66+/juuuuw4lJSWO54uLi/H000/jiiuuAABs3rwZ1157LT777DPrGFEUcdFFF2HKlCkYMmRI\nRttNRERERETkoKnZjWMZQ2dEKBTCpEmT8M9//jOm9P4JJ5yARYsWoX379gCAf/7zn7jrrruwf/9+\n65g2bdrgd7/7HW666Sa0adMm7e1lwpaIiIiIiIgSWr58Oa644gooihKzr7S0FGPHjkX37t1RVlaG\nCy+8EJWVlQCAQCCA8ePHY/Lkyejdu3emm01ERERERERN1C233IJnn33Wc9+qVatw3nnnYeXKlbj+\n+usxd+5ca1+PHj1wxx13YMKECSgoKMhUc5mwJaKmTRBin0t2CQHR62QPqnHBmo6WhBpW4HPdT3Ud\nLNVwA/coonhtyCYhyffUJNbi8Lq8tGR/xzXeO8vvKxERUX3df//9VrJ2/PjxGDZsGAoLC/HVV1/h\niSeeQFlZGaZOnYo1a9agsrISgUAAN998MyZPnmyNWCYiIsoULQNBmHmLuvQhqB4nxWuxhgSxr3FN\ns3/AHdPH6wdI+O4Y13SfKdm2rf6IBBdKpg+iFq2qk2T6GGrqV4i3O5n+iJruH+8ayb4T9e2zYF8F\nETVmW7duxdNPPw1Anyl72223oV+/fjhw4ADeeustLFiwAGvWrMHYsWPx4osvAgB69+6NP/7xj7ji\niisgSVKiy6cFE7ZERERERFRngqZByHo5p9p2CFJtlJaW4qOPPgIAPPnkk7jpppusfZdeeimuuuoq\nHHPMMXj//fcBAH379sXChQs5o5aIiIiIiHKSoKlZjWOFWg9qodpauHAhNE1DixYt8M0336Bjx47W\nvokTJ2Lq1Kl48MEHrWTtzTffjOnTp8Pv92eryRCzdmciIiIiIiLKeevWrYOqqujYsSNuuOGGmP19\n+vTBuHHjAOhr1b722mtM1hIREREREVHWfPPNNwCAG264wZGsNd13331WuePTTjsNs2bNymqyFuAM\nWyIiIiIiqhcNyPYMWw5OTqv9+/cD0GfOxisLNWDAAADA8ccfj759+2asbURERERERLWmZTmOzXYM\n3QSYcewvfvELz/0FBQXo2bMn1q1bh7Fjx2ayaXFxhi0RERERERHFVV1dDQBo27Zt3GPMdWq7du2a\nkTYRERERERERxdMQ41jOsCUichGE5I5LdqkBsYYLqrYLJXlrAIBkOzippiT7wgxqCmYribW7ZVJS\nccmafid1labLEhERZZVWi/WVfD5fGltCREQUn5algMx922T+bMaLSVWPkxO9KvPouLG37T72GF/y\nOD7Zv/eq5n1+ons77pPUXWqnPr/5ZPsthCQ+X7XtA6nN4enqxyAiaqwaYhzLhC0REREREdVdtktJ\n6Y3I8v2JiIiIiIiowdBUlkSmnMOELREREREREdVo3bp1+OMf/xh3X03HmAYMGIDLLrssxa0jIiIi\nIiIicpo/fz6WLl3que+HH36o8RjT+PHj0bNnz5S3z44JWyIiIiIiIqrR+vXrsX79+nofM3r0aCZs\niYiIiIiIKO2ef/75lBxz6qmnMmFLRERERES5LBdKIhMRERERERElKeslkbmsD8ViwpaIqI4EIf6+\n2vzNFRNdKAHVdpO6XSExKR0XTZO6voe1kYFbEBER5aTzzjsPGzZsSNn1mjdvnrJrERFR06blYKBm\nb1Jt++MTxbaqx8VqevX2M8SaDnbdW43T9mT7CrQcSEYIKfh81Pi+Jbp/ne+Z2s91Dv5nQkSUds8+\n+ywqKipSdr2uXbum7FrxMGFLRERERER1p2kQsj3DNgc6BBuzoqIiHH300dluBhERERERUUoIULMa\nxwpglap0O+KII7LdhFoTs90AIiIiIiIiIiIiIiIiIqKmiglbIiIiIiIiIiIiIiIiIqIsYUlkIiIi\nIiKqO00DVJZzIiIiIiIiogZCVbMbxzKGJg+cYUtERERERERERERERERElCWcYUtElAaCUPMxmla/\ne4jJ3CRF1Fo0NpPtSoUG1lwiotxU3z9qREREREnSGlAQF6+pdfnqlEys7Y7d6/JOmVcQ6/s21+L3\npNby/ah322ohlbdKdX9JA/pPgSj3aMhuHMsYmjwwYZuEnTt34p133sHOnTsRCATQq1cvnHvuuWjW\nrFm9rz1jxgzs3r27xuMGDRqEK6+8MqttJSIiIiIiotynaRqWLl2KVatW4cCBA2jTpg1OPvlkn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q1apyOBwyTdPj75jeiAHX0l5z8fHxio2N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\neDMGrmz69OnZfm/w9/d3GSNtxYTAwMAs20pKSjJffPFFMzAwMFP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          }
        }
      ],
      "source": [
        "# compute the effective indices for the first two modes\n",
        "n_1 = phase_control.n_eff.values[0][0]\n",
        "n_2 = phase_control.n_eff.values[0][1]\n",
        "print(f\"Effective indices: {n_1}, {n_2}\")\n",
        "\n",
        "# plot the mode profiles\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
        "\n",
        "phase_control.plot_field(\"Ey\", mode_index=0, ax=ax1)\n",
        "phase_control.plot_field(\"Ey\", mode_index=1, ax=ax2)"
      ],
      "id": "6ee347e3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To perform the TMM analysis, we still need to obtain $\\theta_{t1}$ and\n",
        "$\\theta_{t2}$. This can be done by setting up FDTD simulations for the\n",
        "tapers. To get the phase shift, we place one\n",
        "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n",
        "right before the taper and another\n",
        "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n",
        "right after the taper. The phase difference calculated from the mode\n",
        "amplitudes is the phase shift we are looking for. Since the tapers are\n",
        "only 1 $\\mu m$ in length, the FDTD simulations are very fast.\n",
        "\n",
        "First, let’s do the top taper that transitions from a 500 nm waveguide\n",
        "to a 600 nm waveguide."
      ],
      "id": "a820c9ab-85da-42ec-8c4e-081308fe21f3"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "L_t = 1  # length of the tapers\n",
        "l = 10  # length of the straight waveguide\n",
        "\n",
        "# define vertices\n",
        "vertices = [(-l, 0), (L_t + l, 0), (L_t + l, w_top), (L_t, w_top), (0, w_sc), (-l, w_sc)]\n",
        "\n",
        "# define the top taper structure\n",
        "taper_top = td.Structure(\n",
        "    geometry=td.PolySlab(\n",
        "        vertices=vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(-h_si / 2, h_si / 2),\n",
        "    ),\n",
        "    medium=si,\n",
        ")"
      ],
      "id": "a8877aeb"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "# simulation domain size\n",
        "Lx = L_t + l / 2\n",
        "Ly = 5 * w_sc\n",
        "Lz = 9 * h_si\n",
        "\n",
        "# define a mode source that injects te mode\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=3.47)\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-l / 5, w_sc / 2, 0),\n",
        "    size=(0, Ly, 4 * h_si),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    direction=\"+\",\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=0,\n",
        "    num_freqs=7,\n",
        ")\n",
        "\n",
        "# define a mode monitor to measure the phase before the taper\n",
        "mode_monitor_1 = td.ModeMonitor(\n",
        "    center=(0, w_sc / 2, 0),\n",
        "    size=(0, Ly, 4 * h_si),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode_1\",\n",
        ")\n",
        "\n",
        "# define a mode monitor to measure the phase after the taper\n",
        "mode_monitor_2 = td.ModeMonitor(\n",
        "    center=(L_t, w_top / 2, 0),\n",
        "    size=(0, Ly, 4 * h_si),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode_2\",\n",
        ")\n",
        "\n",
        "run_time = 4e-13  # simulation run time\n",
        "\n",
        "# define a simulation\n",
        "sim = td.Simulation(\n",
        "    center=(0, w_sc / 2, 0),\n",
        "    size=(Lx, Ly, Lz),\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
        "    structures=[taper_top],\n",
        "    sources=[mode_source],\n",
        "    monitors=[mode_monitor_1, mode_monitor_2],\n",
        "    run_time=run_time,\n",
        "    medium=sio2,\n",
        ")\n",
        "\n",
        "# plot simulation\n",
        "sim.plot(z=0)\n",
        "plt.show()"
      ],
      "id": "0bc90a66"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "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\">03:24:14 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'top_taper'</span> with resource_id                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-5b5ac49b-e8f7-4f0c-a9f5-0f704ff3d53a'</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-5b5ac49b-e8f7-4f0c-a9f5-0f704ff3d53a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-5b5ac49b-e8f</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-5b5ac49b-e8f7-4f0c-a9f5-0f704ff3d53a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">7-4f0c-a9f5-0f704ff3d53a'</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\":\"b43b3c5546d247d5a71dc2772955c1e5\",\"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\">03:24:16 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.044</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\">             </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"728f0ec3da2d457583533cf19e470a2d\",\"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\">03:24:17 UTC </span>Loading results from data/simulation_data.hdf5                     \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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"top_taper\")\n",
        "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
      ],
      "id": "3a2436ed"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Compute and plot $\\theta_{t1}$. As expected, the phase shift is linear.\n",
        "Note that the phase is only significant mod 2$\\pi$."
      ],
      "id": "17cb2167-c249-400c-aefd-ddb99a43655f"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AAAAAAEfCgGZHs2fPjv91tWrVEvQa/3x8M0eOHM99XkBAgNXPAI4mtZevprcc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          }
        }
      ],
      "source": [
        "# phase at the first monitor\n",
        "phase_1 = np.angle(sim_data[\"mode_1\"].amps.sel(mode_index=0, direction=\"+\"))\n",
        "\n",
        "# phase at the second monitor\n",
        "phase_2 = np.angle(sim_data[\"mode_2\"].amps.sel(mode_index=0, direction=\"+\"))\n",
        "\n",
        "# phase shift at the top taper\n",
        "theta_t1 = phase_2 - phase_1\n",
        "\n",
        "plt.plot(ldas, np.unwrap(theta_t1))\n",
        "plt.xlabel(r\"$\\lambda (\\mu m)$\")\n",
        "plt.ylabel(\"Phase shift\")\n",
        "plt.xlim(1.5, 1.6)\n",
        "plt.show()"
      ],
      "id": "f8469fb1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Similarly, we simulate the taper that transitions from a 500 nm\n",
        "waveguide to a 300 nm waveguide."
      ],
      "id": "4a0303dd-abe9-45bc-8b67-45a23b992ef6"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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f/9iFwjKLG2+80bqa8uMf/7j+8pe/9PiS3OXLl+v111+3Juppr6am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\nyU9+8jtFvvMnk0lHlpWmQpaW/rxsFf1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pCQAAAPSeWWzu8HVdbC5a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          }
        }
      ],
      "source": [
        "# define vertices\n",
        "vertices = [(-l, 0), (L_t + l, 0), (L_t + l, w_bottom), (L_t, w_bottom), (0, w_sc), (-l, w_sc)]\n",
        "\n",
        "# define the bottom taper structure\n",
        "taper_bottom = td.Structure(\n",
        "    geometry=td.PolySlab(\n",
        "        vertices=vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(-h_si / 2, h_si / 2),\n",
        "    ),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "# copy previous simulation and update the structure\n",
        "sim = sim.copy(update={\"structures\": [taper_bottom]})\n",
        "sim.plot(z=0)\n",
        "plt.show()"
      ],
      "id": "a93a982b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Compute and plot $\\theta_{t2}$."
      ],
      "id": "3eb6dacf-aad9-42aa-9af0-59eeef796165"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "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\">03:24:18 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'bottom_taper'</span> with resource_id                       \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-c566fc74-fbb2-4a28-bc14-79e235cb7444'</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-c566fc74-fbb2-4a28-bc14-79e235cb7444\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-c566fc74-fbb</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-c566fc74-fbb2-4a28-bc14-79e235cb7444\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">2-4a28-bc14-79e235cb7444'</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\":\"b6c5cda3f9064188a4b3c61914d70537\",\"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\">03:24:20 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.044</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\">03:24:21 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"dc03b001e98d4ea599de2346e25e2a62\",\"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\">             </span>Loading results from data/simulation_data.hdf5                     \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\">03:24:22 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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ZCgkPtZrXLFZBE5r3VfrUaQ1IBwAAAACwJ0fpESjQbKRixYrav3//Kx9fpUoV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          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"bottom_taper\")\n",
        "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n",
        "\n",
        "# calculate phase shift\n",
        "phase_1 = np.angle(sim_data[\"mode_1\"].amps.sel(mode_index=0, direction=\"+\"))\n",
        "phase_2 = np.angle(sim_data[\"mode_2\"].amps.sel(mode_index=0, direction=\"+\"))\n",
        "theta_t2 = phase_2 - phase_1\n",
        "\n",
        "plt.plot(ldas, np.unwrap(theta_t2))\n",
        "plt.xlabel(r\"$\\lambda (\\mu m)$\")\n",
        "plt.ylabel(\"Phase shift\")\n",
        "plt.xlim(1.5, 1.6)\n",
        "plt.show()"
      ],
      "id": "8eec83bd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now that we have calculated $n_+$, $n_-$, $n_1$, $n_2$, $\\theta_{t1}$,\n",
        "and $\\theta_{t2}$, we are ready to assemble the matrices and calculate\n",
        "$\\eta_{cross}$. First, we focus on the wavelength of 1550 nm and explore\n",
        "$\\eta_{cross}$ as a function of $L_1$ and $L_2$."
      ],
      "id": "3ef56f05-10b2-42f6-ac90-9ebc66b7f02b"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "# input field vector\n",
        "E_in = np.array([[0], [1]])\n",
        "\n",
        "N_L1 = 100  # number of L_1 points\n",
        "N_L2 = 50  # number of L_2 points\n",
        "L_1_array = np.linspace(4, 20, N_L1)\n",
        "L_2_array = np.linspace(1, 6, N_L2)\n",
        "\n",
        "eta_cross_1550 = np.zeros((N_L1, N_L2))\n",
        "\n",
        "# compute the taper matrix\n",
        "P_t = np.array([[np.exp(-1j * theta_t1[50]), 0], [0, np.exp(-1j * theta_t2[50])]]) * np.exp(-0.5)\n",
        "\n",
        "for i, L_1 in enumerate(L_1_array):\n",
        "    for j, L_2 in enumerate(L_2_array):\n",
        "        # compute the transmission coefficient\n",
        "        t = np.cos(np.pi * del_n * L_1 / lda0)\n",
        "        # compute the coupling coefficient\n",
        "        k = np.sin(np.pi * del_n * L_1 / lda0)\n",
        "        # compute the symmetric coupler matrix\n",
        "        C = np.exp(-1j * np.pi * (n_p + n_m) * L_1 / lda0) * np.array([[t, -1j * k], [-1j * k, t]])\n",
        "        # compute the phase control section matrix\n",
        "        P = np.array(\n",
        "            [\n",
        "                [np.exp(-1j * 2 * np.pi * n_1 * L_2 / lda0), 0],\n",
        "                [0, np.exp(-1j * 2 * np.pi * n_2 * L_2 / lda0)],\n",
        "            ]\n",
        "        )\n",
        "        # compute the output field vector by tmm\n",
        "        E_out = np.dot(C, np.dot(P_t, np.dot(P, np.dot(P_t, np.dot(C, E_in)))))\n",
        "\n",
        "        # total transmission\n",
        "        T = np.abs(E_out[0, 0]) ** 2 + np.abs(E_out[1, 0]) ** 2\n",
        "        # power transmitted to the cross port\n",
        "        eta_cross_1550[i, j] = np.abs(E_out[0, 0]) ** 2 / T"
      ],
      "id": "b0e300e1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot $\\eta_{cross}$ as a function of $L_1$ and $L_2$. Since we are\n",
        "looking for a specific power splitting ratio, we add contours to the\n",
        "plot. For a desirable splitting ratio, one only needs to pick design\n",
        "parameters on the specific contour."
      ],
      "id": "8f0bee71-001f-4e68-8156-e17e196dfc93"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LXvSiF73oRS960avmdeHCBa/WVsFIcXFxwI+jq1dxcTHnYy4vL2e6dOliayM9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3Uz1kRERODtt9922hZBEFZqJjbB5ufNBWxTaPtJZP2DfTM1OrPwcGCpUl8QiUSQisUwmEzQB4kF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/1NQEpz94jVk2caJ4sYCFiGM04uMNGyL/PGbiRPF9KCQQCKDs1FNRkJuLH55yCn5/3XXJdwIU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OJivEptee4ssYaLYMM3hczWP2dCwg9StWjY2BIg0hgMBvx16hTU5j90Zzz3PNf8Z/du3Lxn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\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Gd5dK+Ps7H1kHBjofkVsduRqVu+ovp40cn8582OPLsyotUVu/R2s/egk02foeO3aM1u3a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Vdcwcsvv9zu9ZKSErKyOo+7/DFnzhwuvfRSVW2oRTcfNoUHIt1RoAbNzepP0pxOadsVB/IbyI4/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          }
        }
      ],
      "source": [
        "# plot the power transmitted to the cross port as a function of L_1 and L_2\n",
        "cp = plt.contour(\n",
        "    L_2_array,\n",
        "    L_1_array,\n",
        "    eta_cross_1550,\n",
        "    levels=10,\n",
        "    colors=\"black\",\n",
        "    linestyles=\"dashed\",\n",
        "    linewidths=1,\n",
        ")\n",
        "plt.clabel(cp, inline=1, fontsize=10)\n",
        "cp = plt.contourf(L_2_array, L_1_array, eta_cross_1550, levels=100, vmin=0, vmax=1, cmap=\"bwr\")\n",
        "plt.xlabel(r\"$L_2 (\\mu m)$\")\n",
        "plt.ylabel(r\"$L_1 (\\mu m)$\")\n",
        "plt.title(\"Transmission to cross port\")\n",
        "plt.colorbar()\n",
        "plt.show()"
      ],
      "id": "84e3ba99"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In this case, we aim for a 50%/50% splitting ratio. Since we want the DC\n",
        "to work in a wide wavelength range, we also need to calculate\n",
        "$\\eta_{cross}$ at other wavelengths to make sure the same splitting\n",
        "ratio is maintained. Here we skip explicitly showing this step to avoid\n",
        "making the notebook excessively long.\n",
        "\n",
        "From this analysis, the optimal $L_1$ and $L_2$ are found to be 12.8\n",
        "$\\mu m$ and 4.4 $\\mu m$. Now we fix $L_1$ and $L_2$ and calculate\n",
        "$\\eta_{cross}$ as a function of wavelength."
      ],
      "id": "82633819-2416-4e06-ad4c-f530891dd07d"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [],
      "source": [
        "L_1 = 12.8  # optimal L_1 from the tmm analysis\n",
        "L_2 = 4.4  # optimal L_2 from the tmm analysis\n",
        "\n",
        "# compute power transmitted to the cross port as a function of wavelength\n",
        "eta_cross_ldas = np.zeros(len(ldas))\n",
        "for i, lda in enumerate(ldas):\n",
        "    t = np.cos(np.pi * del_n * L_1 / lda)\n",
        "    k = np.sin(np.pi * del_n * L_1 / lda)\n",
        "    C = np.exp(-1j * np.pi * (n_p + n_m) * L_1 / lda) * np.array([[t, -1j * k], [-1j * k, t]])\n",
        "\n",
        "    P = np.array(\n",
        "        [\n",
        "            [np.exp(-1j * 2 * np.pi * n_1 * L_2 / lda), 0],\n",
        "            [0, np.exp(-1j * 2 * np.pi * n_2 * L_2 / lda)],\n",
        "        ]\n",
        "    )\n",
        "\n",
        "    E_out = np.dot(C, np.dot(P_t, np.dot(P, np.dot(P_t, np.dot(C, E_in)))))\n",
        "\n",
        "    T = np.abs(E_out[0, 0]) ** 2 + np.abs(E_out[1, 0]) ** 2\n",
        "    eta_cross_ldas[i] = np.abs(E_out[0, 0]) ** 2 / T"
      ],
      "id": "c000190d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot $\\eta_{cross}$ as a function of wavelength. Here we can see if we\n",
        "define +- 1 dB as the bandwidth, the bandwidth is larger then 100 nm."
      ],
      "id": "2fcbdd2b-5a0e-4b03-847c-cfbb17e397da"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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XvberpzudXctXhKGVsWnlOYfGqcHX6eruSndvz2j/9WxQhjVsHXHEEbnzzjuH\n85S5/fbbs9tuuw3rOQEAAIB113/rWn8I6gs/Q6NSx4pty7tWxqLOrs4hxwy87hoclIaepz8qrdw+\n6HX/vp6uFAqF0f5rYT3gVkQAAABYT/X29g6KRMvT0dU5KC71RaP+yNQflvqOW/m6c0VgGhqlulbs\n6/vqX/nU/3p5d1c6Br3u7F4+2n8VsFrDGrbOPvvstLS0rHH///7v/+brX/96Nt544xx11FGZO3du\nGhoa0tHRkb///e+56qqrcs0112T33XfPpz/96VRXV2frrbcezhEBAABgnRQKhYHb0jq6OgeiUGdX\nZzr6o1DX0MDU2dWZjoHtK7/vW6HUuZro1Pd95+AoNRCalo+ZB3zDSCkrFGnt3tlnn51//ud/zic+\n8Yn853/+5xqfmzV//vy8613vyjbbbJP58+enrq6uGOOVvObm5jQ2NiZJmpqa0tDQMMoTAQAAvHr9\nt8B1dHUOBKbBr/tDUUdXx5BQ1LG8c0hI6j+2c0Wg6hgcnlYJVSuDlNvdGKt6O7vz3IV9j5Mq5Y5Q\nlLB1zz33ZJdddslb3/rW/OY3v3nJ43/5y1/miCOOyD//8z/nm9/85kiPNyYIWwAAwEjqf1h3x/LO\ndHR1DMSivu/7olF7V+fKULS8LwwN3j/4uP7w1Pfn8rSv+LNj+eBjxSUYKWMlbBXlGVvnn39+ent7\n84EPfGCdjn/HO96RadOm5YILLshXv/rVVFZWjvCEAAAApaVnRWRqHxySBr1uX822jq7+7R1DtveH\npRcfOxChVmzrLfSO9o8NDJOKceWjPcKwKErY+utf/5ok2Xjjjdfp+LKyskyfPj333XdfHn/88Wy5\n5ZYjOR4AAMCrVigUBlYctQ8KR+3LO9K+vHNFOOpYsW1oaGpf3jEkQg28f1C4evExnr0E66+qisq+\nr/LKVPa/rqhMZfng1xWprqxKRXlFqisqU1VRlcryipXHVQ56f3lFKisqU13R933feSqGnK9q0PaK\n8opUVVQNvK/qRe+pLK9IS0tLGr/fONp/Va9aUcJWT09PkuSRRx7JG97whpc8vqurK0888USSpLu7\ne0RnAwAAxrbunu6BqLRseX9o6hgUnToGolH78s60d/WHqKHHDY5L/auh2pd3rAxTXZ1umYMiKh9X\nnqqKylRXVKWyoi/k9AeiwbGnesX3/WHoxfv7vl/5/sr+bf1xaMW+/sBUVbniuPKh51gZnSpSVlY2\n2n89G4yihK1tt9021157bc4+++y85z3vSXn52pe7XXDBBWlpaUldXV0222yzYowIAAAUWW9v70AU\nal/ekWWdHSui0ou/OlfdtmLV05qOHRytunr8n+UwHCrGlae6snplHKrsi0bVlVVD4k7f90MjU/WK\n41duH/S6smpIgOr/sz8gVa1he/kYuZWOV6coYeu9731vzjnnnNx222054ogjct555632tsTe3t6c\nc845+cQnPpEkede73pWamppijAgAAAzSH52Wdbb3RacXBaTBEarvmEGBann7aqPTshcFqI6uztH+\nMaEk9Eed6sqqQSGp78+aFduq+vdVVKa6sjpVFZV9+1a8HhygVsapla8Hx6jB76lasa+6oirjxo0b\n7b8KWEVRPhUxST7+8Y/n29/+dpKksrIyb3rTmzJ37tw0NDSko6MjCxYsyNVXX52FCxcmSWbNmpXb\nb789M2bMKMZ4Jc+nIgIAbFh6env64tKKkLSss30gHL34dfvyzr5jlnekvbM/PHUMef/g7/tXRAGD\nVikNikj931dXVKamsnogKvWFpKpUVww6flAwqqmsHvLela9XRquqisrUVlUPhKuq8kpBiRExVjpC\nUVZsJclZZ52V8ePH5ytf+Uq6urpy1VVX5aqrrlrtsbvuumsuvfRSUQsAgJJVKBTS0dWZZf2hqXNo\ngFpdiOr7s31FYBoaopa9KEh1di8f7R8RiqZiXHlqqvqiUE1ldWoqq1ZEohVBqao6Nf0xqap6UGSq\nHnRcX1jq2z80PA0+b//qp5oVK5kqyov2P5uBV6BoK7b63X///Tn33HMzf/78PPTQQwMPh99oo42y\n55575phjjsmRRx75ks/hYqixUloBAIqp/1Ps+qNRW0f7kPjU1rlsZVBawzGD/2wbEqY60lvoHe0f\nEYbVuLJxfRGpsjq1KyJRzcBqpqHRqT8g9R8zdPvK4wfHqNoVf1b3n3vFqiVxCYbfWOkIRQ9bL9bW\n1pbq6upUVPgPqldjrPxCAgCsTqFQGLTyqb0vOC3vSFvHsiEBatXt7QPvWba8fdD3K4/t6e0Z7R8P\nXrGayurUDoSjwRGp73XtarfXDNk+OEoNPlf/9r5tNampqk6lwARjxljpCKP+n0r19fWjPQIAAMOk\nUChkeXdX2lbEp76QtGwgKLUNfK26bU3H9a+YGuX/PxbWScW48tRW9UWg2qqagUhU179tRSAaEpGq\nalI7KEL1v79m0PdrildlZWWj/SMDjKpRD1sAAIyOQqGQ9q7OtHW0rQxJHcuGhKeB16vb3jE4RK1c\nKdVtBRTrmbKyshVxqG+lUn8o6t82EJNWxKYh21YEp7rq2hcdN/j4ld+7ZQ6guPynLgBACehfCdU6\nEJn6olLr6l4PilCtHcuGrIhqfVGgsgqK0bYyNNWsEpwGh6e66kHbKlc9rq7/2BUhavC+qopKK5sA\nxqhhDVuf//znc+SRR2aHHXYYztOmra0tZ599do444ohsu+22w3puAICR0P9MqLaOZWldsSKqdSAs\nrYxP/d+v3N6e1s62QfvaB85hJRTF9uJAVFddk7qq2iEBqq66diA01VXXrhKiVh4/NEbVVdempqIq\n48aNG+0fE4ASNqxh61e/+lW+8IUv5KijjsqnPvWp7Lzzzq/qfM3Nzfn+97+fM888M88991wOPPDA\nYZoUAGCo/k/HW9reNmgFVFtaO5YNiU+tKyJT/8qp1o5lK4PVkEjV7hPxGHH9gahuUGCqq165bWVY\nWhmdBo5dw76VsapadAJgvTesYevDH/5wPvWpT+WnP/1pfvrTn+a1r31tjj/++Lzzne/MlltuuU7n\nWLJkSf73f/83P/zhD/PrX/86y5cvT5KXdQ4AYMPQ29ubts72LO1oG4hQbZ3LsrS9bUhsau1oW3HM\niwLVi46xIorhVlleMSQ8rfyzdsWKptqBVVB9cal64PWL3zM4SvWHJ7fXAbChKysM84MVXnjhhXz2\ns5/Nueeem+7u7oHt06ZNy+tf//psv/32mTJlShobG1NdXZ2mpqY0NTXl8ccfz2233Za//vWvQ571\nsNtuu+XrX/963vjGNw7nmGPOWPmYTgDGvv4YtTI29QWnpYP+bBv0/Yv3D97X1rlstH8cxoCKceWp\nq65NffWLgtJAgOrbVj9k29DoVP+iY/vfX+lB4gCsp8ZKRxj2sNXv8ccfz7nnnpsLLrggzzzzzMt6\nb0VFRQ4//PB89KMfzZvf/Gb/T9Q6GCu/kACsn/o/Pa+1vW1FkFoRl9pXF6f69re2t6W1sy1L24fG\nKTGKV6q6oir11bWpXRGS+kNTf1Qa8v2gCDU4WNXX1K2IVHWpq+77s6qicrR/NAAourHSEUYsbPXr\n6urKVVddlWuuuSZ//OMf86c//WnISq5+s2fPzn777Zf99tsvhx56aDbeeOORHGvMGSu/kAAMr8G3\n6i0diFJ9r1dGqFX3DX3dF6R63KbHOqoYV576mrqB+FRbVZvxA9/XDQlQfYGpdjXbVsSnQTGqwuon\nABg2Y6UjjHjYerHe3t688MILee6557J8+fJMnTo106ZNS3V1dTHHGHPGyi8kAH1eHKSWdrQOiVFL\n2lsHAtSSwZHqRce0dlgdxdr1r4Kqq64dCEjja+oyvro+9TX9sWllpBocpvpjVV310GhVVVFpxT0A\nrOfGSkco+v/tNW7cuEybNi3Tpk0r9qUBYMQVCoV0dHUOBKe+uLQyRC1tb8uSjsFRqnXoCqr+93Qu\nS5H/vydKQPm48iErn/rj0vgVQWl8Tf3Aqqe+4+oyvqYudf0rplazaspteABAKbOeGwBW6O3tzbLl\n7QNBaml760CQWhmg+rYtae97vXLbyu+7ela95Z4NU1VFZV90GhSZ+oNTf3waX1PfF5sGAtXg42pT\nv2L/+Jq6VFdUWQkFADCIsAXAmNB/615fdFo6JD4NjlMDwWoNkcoqqQ1bxbjyvtC0IiyNf1GM6g9R\n418UqvqOq1+5gmrFfquhAABGlrAFwKgrFApZtrwjS9tb07KsNUs7VgSnZa0DMWpIlFoRqlral4pS\npHbFM6EmvCg49X2/MlK9eP9ApFqxosqKKACA0iNsAfCqdfd0Z2lH20CIamlvzZJlS4dGqWWtWdLR\nt71lRaBqWbYyVHX7xL0NyotjVP8qqP4YNX5QjKqvqc+EFcdMWBGqVkaqWp+UBwCwAfPfBAFIZ9fy\ngQDVsiJItSxb2hef2lfGqCXLlmZJR9sqcaqt0yfvbQgqyyv6glJtX2Aa/Hr8oPD04lA1obY+9dV1\nmbDiWDEKAIDh4r9VAowBy7u7hgSpl/PnkmVL097VOdo/AiOotrI642vrM7F2/EBwmlgzfkWUqlsl\nVk2orR8SqSbUjs+EmvpUV1aN9o8CAABDCFsA64Ge3p6+Z0YtW9r33KhlrVm8bEmWtLdmcdvSLGlf\nmpZlrWlZtuRFK6ha09K+NO3LO0b7R2AE9Aepvtg0fkh4mvDi7Sti1MSBFVQrt1VaHQUAwBjlv+kC\nDINCoZD2rs4sWbY0i5ct7QtQy1qHhKr+KNXS1retZdnSlaum2ltH+0dgGJWPK+8LTAPRafxAcBoc\noibU9K2imlD74nA1PuNrfKIeAAC8FGELYIVCoZDWjmVZvGxJWlYEqqGh6sXb+lZS9b9e3t012j8C\nw6C2srovMtXWZ0LN+IFANXFFnBo/EKPGrwhTK/f3B6raymqfrAcAAEUgbAFjSm9vb1o7l2Vx25KV\ngaqtL0z1B6i+QLUyVLUMWmHVW+gd7R+BV6E/Sk2sHZ+JdSti02ri1MoQ1ff94FBllRQAAJSOooSt\nX/7yl3nuuedyxBFHZOrUqSP2HmBsKBQKaetcNhCdmtuW9IWptpVxaki4EqfGhMryikyoHZ9JA8Fp\nfCbVrXhd07caalLdhIFjhoSpugmiFAAAbICKErZOP/303HnnnZk7d+46R6pX8h5g/dLZtXxomFqx\naqo/UC1uaxm0f+nA/pa2Jenu7Rnt8XmZxtfUZVLthIHYNKluwkB86o9VfWGqPpNqJwxdVeX2PQAA\n4BVwKyKwVoVCIUs72gZWSC1uWzIkRDW39W1r6X+9YhVVc9sSn9RXQsaVjRsSmibWju+LT4O/H7xa\nqm7CwJ/9D0Wv8Ml7AABAka23/ytk+fLlSZKqqqpRngTGhp7enrQsa83itpYsXrYkTa1LsnhZy0Co\nGhytBseplmVL02P11HqvrKxsIEQNBKea8ZlUP2GVELXqnxNSX12bcePGjfaPAQAA8LKsl2GrtbU1\nf//735MkU6ZMGeVpYP3S3dOdxcuWprlt9VGqf/vg1VT9oYr1W311XSbX9cepCX238q0IUJPqJgzc\n2tf/evD346vrhCkAAGCDMyJhq//B7/2ef/75ge1/+tOf1vi+3t7evPDCC/n5z3+eZcuWZcaMGdlk\nk01GYkQYdd093Wlpb01za8tAhFoZq1oGotTA62VL0tzakqUdbaM9OmtQPq48k+om9MWp2gmZXN8X\nnibXTVwRqfpe923ri1aTB8Urt/IBAAC8PCPyv6L6H/z+Yl/84hdf1nn+z//5P8M1EoyYQqGQJe2t\nWdy2JE1tLQNxqqmtJc2tLUNWVg3EKyuo1lu1ldV9oWlFdOpbGTUxk+rGZ1LdxIFtQ8JUbd+fddW1\nHn4OAABQROvd8oCqqqrsuOOO+cAHPpCPfexjoz0OG5iOrs6BGNXUtmTQaqqWNK3Y3rwiWC1etiRN\nK1ZVeQbV+qW2srovRtVPSMOK1VJ9Mapv28poNThUTczEuvGpqawe7fEBAABYRyMStq6//vr09Kz8\nH/r77rtv7r777vzxj3/M6173ujW+r7y8PLW1tSMxEhuY/lVUg4PU4DA1JFKtCFhNbS0+xW89UlVR\nOXAL3+S6CZlcP3GVENW3beX+/uOrK33oBAAAwIZgRMLWi+PU1ltvneXLl6exsTHjx48fiUsyhvX0\n9gzcwtfUujjNrX23+TW1Ll4lVK0MVlZRrQ/KysoGrYyamIb+EFU/cUisalixkmpyf7iqn5jaymq3\n9QEAALBWRbkVca+99sqsWbMyadKkYlyO9VhXT3cWt7WkqXVJmtoW962Ual28IlStjFUrXy9JS/vS\nFAqF0R59g9Z/a9/k+r6vhkG39DXWTxqIVX3b+/6cXD8xE2rqfVIfAAAAI6YoYetHP/pRbr/99hx9\n9NGZNWtWMS45qpYtW5ZFixZl0aJFKRQKmTFjRl7zmteMudUn3T3dWbxsaV+Y6g9UK2LUCyteD6ys\nWnGrnwemj64JNfV9AWrFbXuDQ1Xf60lDVk/1r7CqraoZ7dEBAABgFUUJWxtttFGSDHnu1lhz8803\n57LLLsu1116be++9N729vUP2T506Ne973/vy7//+7+vlyrXe3t60tC8dEqheGPS6P1Ct3N9iJdUo\nGvyMqYb6iWmonzTk+/7nTTWOnzTkWVSV5evd50UAAADAK1aU/5W788475ze/+U0WLFiQ17/+9cW4\nZNGde+65ueiiiwa+nzFjRrbccsuUlZXl3nvvzfPPP5+vfvWrueyyy3LNNddkiy22GLFZCoVC2jrb\nV8SpxSvj1Ioo9cJqwpVnUo2O8TV1aaiftOJrRaAaFKte/P3k+omZVDs+FQIVAAAApKxQhCU3jzzy\nSLbbbrvsu+++ufrqq0f6cqPife97Xy677LK8733vy0c+8pHsvPPOA/s6Ojryla98JZ/5zGeSJDvu\nuGPuvvvuVFQMX5xobm5OY2NjkmTWh/ZKV3nvS7yD4VRbWZ2GFauj+v9sHD9pYCVVw/hJaey/7W9F\nxJpcP8kKKgAAAEbF4I7Q1NSUhoaGUZ7olSlK2Er6nrN1wgkn5CMf+Ui++tWvrvLJiaXusssuy157\n7ZXZs2ev8ZhPfOIT+eY3v5kkueKKK3LEEUcM2/UH/0JOe9+uGVctmLwSZWVlaVgRogavouoLU5MG\nwlTjim39x3gGFQAAAKVE2HoZfv/736epqSl33HFHvvGNb2TKlCk5/PDDs/POO2fy5MkpLy9f43sP\nPvjgkv3LfbG//vWv2X777ZMkp556ar72ta8N27mFrVVVV1QNrJrqj1CNKwLVkG39AWv8pEyqneBT\n/AAAABjzxkrYKkr9OO2003LnnXcOfP/ss8/me9/73jq99/bbb89uu+02UqMV1bRp0wZeL168ePQG\nKUH9z6JqHD95IEQ1jp88JE69OGLVVdWMuU+iBAAAAFayrKeI/vKXvwy83njjjUdxktE1sXZ8X5Ra\nEaf6YtWKUNW/qmrQ64b6SamqqBztsQEAAID1TFHC1lVXXZWurq5X9N6pU6cO8zSj55xzzhl4/Za3\nvGUUJxk+E2rqV8SpSQMrqqasCFMvjldTxk/ywHQAAABg2BSlMEyZMqUYl1mvXX311fnJT36SJNlr\nr72y3377vexzNDc3r3HfcNzaWFtVkykDEWrykJVTUyZMTmN9361/UwZtt5IKAAAAGC2WzhTBY489\nlmOOOSZJUldXl/PPP/8Vnaf/oW7romJc+crb/MZPypTxDQOhqi9STRqIWP3PqqrzyX4AAABACdng\nwtZ1112X9vb2V3WOgw46aJ0/Oa+5uTmHHnponn/++ZSVleXcc88d+GTEkXL7F3+eTWfO9uB0AAAA\nYEwblbDV1taWW2+9NQ888EAWL16c2trazJw5M3vttVc23XTTEb32CSeckMcee+xVnaO9vT01NS+9\nuqm1tTVve9vbcv/99ydJvva1r+W44457xddtampa477Fixdniy22SJJMrJsgagEAAABjXlHD1tKl\nS/Mf//EfOf/889PW1rbaY/bff/+ceeaZ2WOPPUZkhv322y/PPPPMqzpHeXn5Sx7T0dGRww8/PLfc\nckuS5POf/3xOOeWUV3XdhoaGV/V+AAAAgLGkrFAoFIpxoUWLFmW//fbL3/72t5c8tqKiIt///vdz\n/PHHF2Gy4dfV1ZUjjjgiv/3tb5Mkn/zkJ3PmmWeO6DWbm5sHnsHV1NQkggEAAABrNFY6wro9KGoY\nHHnkkQNRa//9989FF12U++67L4sWLcqCBQty9dVX5+STT05dXV26u7vzwQ9+MHfffXexxhs2PT09\nec973jMQtf7P//k/Ix61AAAAADZERVmx9dvf/jaHHnpoysrK8u1vfzsnnXTSGo/9+9//noMOOiiP\nPPJIDj/88PziF78Y6fGGTaFQyHvf+95ccsklSZITTzwx55xzTlGedzVWSisAAAAw8sZKRyjKiq1f\n/epXSZLjjjturVErSbbccstcfPHFSZLf//736ezsHPH5hsvHPvaxgah1wgknFC1qAQAAAGyIivLw\n+P5bEN/97nev0/F77713Ntlkkzz11FN56qmnBj7tb3322c9+Nuecc06SZJtttslRRx2Vq666ao3H\nT506NbvttluxxgMAAAAYc4oStpYtW5YkmTx58jq/p6GhIU899dQaPz1xfXPdddcNvH7wwQdz6KGH\nrvX4N7/5zfnDH/4w0mMBAAAAjFlFCVtTp05NkvzlL3/J3nvv/ZLHd3R0ZMGCBUmSadOmjehsw2WP\nPfZITU3NOh//ute9bgSnAQAAABj7ihK29txzz/zqV7/K17/+9Rx33HGpra1d6/Hf+MY30tbWls02\n2ywzZswoxoiv2n/913+N9ggAAAAAG5SiPDz+2GOPTVVVVR544IEceOCBefDBB1d7XEdHR77whS/k\ntNNOS5J84AMfKMZ4AAAAAJSgskKhUCjGhc4444yBYFVWVpbXv/712WWXXdLQ0JDOzs48/PDDufba\na7N48eIkyU477ZSbb7459fX1xRiv5I2Vj+kEAAAARt5Y6QhFuRUxSf7t3/4tPT09+dznPpeenp7c\ncsstueWWW1Z77Bvf+MZceumlohYAAAAAa1SUWxH7/fu//3vuv//+nHzyydlhhx1SUbGyq2200UY5\n/PDD87Of/SzXXnttNt5442KOBgAAAECJKdqtiGvS1taWmpqalJeXj+YYJW+sLCEEAAAARt5Y6QhF\nuxVxTdxuCAAAAMArUdRbEV+ss7MzzzzzTJYsWZJRXjgGAAAAQIkpeti666678qEPfShz5sxJTU1N\nZsyYkUmTJmXixIk58MADc+GFF2b58uXFHgsAAACAElO0Z2z19PTk//7f/5uzzjrrJVdn7bTTTrn8\n8suzzTbbFGO0MWGs3BsLAAAAjLyx0hGK9oytj370ozn//POTJLW1tTnkkEMyd+7cNDQ0pKOjI3//\n+9/z+9//Po888kj+/Oc/Z//9988dd9yRTTbZpFgjAgAAAFBCihK2/vjHPw5ErX/8x3/MOeeck6lT\np65yXKFQyA9+8IN87GMfy9NPP51PfvKT+dGPflSMEQEAAAAoMUUJW5dcckmS5A1veEMuu+yyjBu3\n+kd7lZWV5QMf+MDAnz//+c/T3t6e2traYowJAAAAQAkpysPjH3rooSTJP/3TP60xag12/PHHZ/Lk\nyeno6Mhjjz020uMBAAAAUIKKErYqKyuTJJtvvvk6HV9RUZFZs2YlSaqqqkZqLAAAAABKWFHC1o47\n7pgkeeqpp9bp+N7e3ixatCgTJ07M7NmzR3I0AAAAAEpUUcLWhz/84VRUVOS8885bp+P/53/+Jy+8\n8EI+8pGPDKz2AgAAAIDBihK2tt9++5x33nm55pprcuKJJ6atrW2Nx1555ZX50Ic+lDe96U05/fTT\nizEeAAAAACWorFAoFEb6Ir///e/T1NSU2267LWeddVYmT56cI444InPnzk1DQ0M6OjqyYMGC/O53\nv8udd96Z3XbbLZ/4xCdSXl6+xnMefPDBaWhoGOnRS0Zzc3MaGxuTJE1NTf5uAAAAgDUaKx2hKGFr\nt912y5133jms57z99tuz2267Des5S9lY+YUEAAAARt5Y6QhFuRURAAAAAIZbRTEuctVVV6Wrq2tY\nzzl16tRhPR8AAAAApaUoYWvKlCnFuAwAAAAAGxC3IgIAAABQkoQtAAAAAEqSsAUAAABASRK2AAAA\nAChJwhYAAAAAJUnYAgAAAKAkCVsAAAAAlCRhCwAAAICSJGwBAAAAUJKELQAAAABK0noTtnp6evLA\nAw/k4YcfTqFQGO1xAAAAAFjPFS1s/fjHP84555yTpUuXrrLvyiuvzCabbJLtttsuW221Vbbeeuvc\neOONxRoNAAAAgBJUVijC8qgnnngim222WWbPnp1HH300ZWVlA/sefPDB7Lzzzuns7BzyngkTJuSe\ne+7JnDlzRnq8MaG5uTmNjY1JkqampjQ0NIzyRAAAAMD6aqx0hKKs2Lr88stTKBTy7ne/e0jUSpKv\nfOUr6ezsTE1NTc4444ycd955mTVrVpYuXZovfelLxRgPAAAAgBJUlLB13333JUl23HHHIdt7e3vz\n85//PEly2mmn5VOf+lQ+/OEP5+KLL06SXHHFFcUYDwAAAIASVJSwtXDhwiTJrFmzhmy/995709zc\nnCQ56qijBrbvv//+aWhoSFNTU5566qlijAgAAABAiSlK2GppaUmSVFRUDNne/4D46dOnZ5ttthnY\nXlZWlpkzZybpu88TAAAAAF6sKGFr0qRJSbLK6qv58+cnSfbee+9V3tPR0ZEkqa2tHeHpAAAAAChF\nRQlbO+ywQ5LksssuG9j23HPP5Xe/+12S5E1vetMq71m0aFGSDKzcAgAAAIDBihK2jjzyyCTJL37x\nixxzzDE566yzcvDBB6e9vT2VlZX5h3/4hyHHP/fcc1m2bFlmzJiRurq6YowIAAAAQIkpStjaa6+9\nctxxxyVJfvKTn+Tkk0/O3XffnSQ59dRTs/HGGw85/g9/+EOS5MADDyzGeAAAAACUoIqXPmR4fP/7\n388222yTiy66KIsWLcoWW2yRE088Mf/0T/+0yrHz5s1Lkhx88MHFGg8AAACAElNWKBQKoz3Ei7W0\ntKSrqyuTJ09e5ZMUWb3m5uY0NjYm6fskyYaGhlGeCAAAAFhfjZWOsF5Wo/5PUQQAAACANSnKM7bW\nRU9PTx544IE8/PDDWQ8XkQEAAACwnila2Prxj3+cc845J0uXLl1l35VXXplNNtkk2223Xbbaaqts\nvfXWufHGG4s1GgAAAAAlqCjP2HriiSey2WabZfbs2Xn00UdTVlY2sO/BBx/MzjvvnM7OziHvmTBh\nQu65557MmTNnpMcbE8bKvbEAAADAyBsrHaEoK7Yuv/zyFAqFvPvd7x4StZLkK1/5Sjo7O1NTU5Mz\nzjgj5513XmbNmpWlS5fmS1/6UjHGAwAAAKAEFSVs3XfffUmSHXfcccj23t7e/PznP0+SnHbaafnU\npz6VD3/4w7n44ouTJFdccUUxxgMAAACgBBUlbC1cuDBJMmvWrCHb77333jQ3NydJjjrqqIHt+++/\nfxoaGtLU1JSnnnqqGCMCAAAAUGKKErZaWlqSJBUVFUO29z8gfvr06dlmm20GtpeVlWXmzJlJ+u7z\nBAAAAIAXK0rYmjRpUpKssvpq/vz5SZK99957lfd0dHQkSWpra0d4OgAAAABKUVHC1g477JAkueyy\nywa2Pffcc/nd736XJHnTm960ynsWLVqUJAMrtwAAAABgsKKErSOPPDJJ8otf/CLHHHNMzjrrrBx8\n8MFpb29PZWVl/uEf/mHI8c8991yWLVuWGTNmpK6urhgjAgAAAFBiihK29tprrxx33HFJkp/85Cc5\n+eSTc/fddydJTj311Gy88cZDjv/DH/6QJDnwwAOLMR4AAAAAJajipQ8ZHt///vezzTbb5KKLLsqi\nRYuyxRZb5MQTT8w//dM/rXLsvHnzkiQHH3xwscYDAAAAoMSUFQqFwmgP8WItLS3p6urK5MmTV/kk\nRVavubk5jY2NSfo+SbKhoWGUJwIAAADWV2OlI6yX1aj/UxQBAAAAYE2K8owtAAAAABhuo7Jiq62t\nLbfeemseeOCBLF68OLW1tZk5c2b22muvbLrppqMxEgAAAAAlpqhha+nSpfmP//iPnH/++Wlra1vt\nMfvvv3/OPPPM7LHHHsUcDQAAAIASU7RbERctWpRdd9013/zmN9cYtZLk2muvzd57750f/vCHxRoN\nAAAAgBJUtLB15JFH5m9/+1uSvlVZF110Ue67774sWrQoCxYsyNVXX52TTz45dXV16e7uzgc/+MHc\nfffdxRoPAAAAgBJTVigUCiN9kd/+9rc59NBDU1ZWlm9/+9s56aST1njs3//+9xx00EF55JFHcvjh\nh+cXv/jFSI83JoyVj+kEAAAARt5Y6QhFWbH1q1/9Kkly3HHHrTVqJcmWW26Ziy++OEny+9//Pp2d\nnSM+HwAAAAClpyhhq/8WxHe/+93rdPzee++dTTbZJO3t7XnqqadGcjQAAAAASlRRwtayZcuSJJMn\nT17n9/QvgVvbg+YBAAAA2HAVJWxNnTo1SfKXv/xlnY7v6OjIggULkiTTpk0bsbkAAAAAKF1FCVt7\n7rlnkuTrX/962tvbX/L4b3zjG2lra8tmm22WGTNmjPR4AAAAAJSgooStY489NlVVVXnggQdy4IEH\n5sEHH1ztcR0dHfnCF76Q0047LUnygQ98oBjjAQAAAFCCygqFQqEYFzrjjDMGglVZWVle//rXZ5dd\ndklDQ0M6Ozvz8MMP59prr83ixYuTJDvttFNuvvnm1NfXF2O8kjdWPqYTAAAAGHljpSNUFOtC//Zv\n/5aenp587nOfS09PT2655Zbccsstqz32jW98Yy699FJRCwAAAIA1KsqtiP3+/d//Pffff39OPvnk\n7LDDDqmoWNnVNtpooxx++OH52c9+lmuvvTYbb7xxMUcDAAAAoMQU5VbEJ598Mh0dHZk9e3aqq6uH\n7Gtra0tNTU3Ky8tHeowxbawsIQQAAABG3ljpCEVZsXXEEUdkq622yp///OdV9tXX14taAAAAALxs\nRQlb48ePL8ZlAAAAANiAFCVsbb755kn6lrkBAAAAwHAoStg68sgjkyR/+MMfinE5AAAAADYARQlb\nb3vb2/L2t789Z599dm677bZiXBIAAACAMa4oYWvcuHH56U9/muOPPz77779/PvnJT+auu+5KV1dX\nMS4PAAAAwBhUVigUCiN9kQMOOCB33313kmTp0qXp7e3tu3hZ2Ut+KuK1116buXPnjvSIJW+sfEwn\nAAAAMPLGSkeoKMZFli5dmpaWllW2FwqFtLa2rvW93d3dIzUWAAAAACWsKGHrxBNPzMKFC1/Re2fO\nnDnM0wAAAAAwFhQtbAEAAADAcCrKw+MBAAAAYLgJWwAAAACUpKKFrXvvvTe33HJL2tvbX/LYv/zl\nL7nllluydOnSIkwGAAAAQCkqSth64YUXsttuu+Xtb397Kipe+rFeF110Ufbaa6+ce+65RZgOAAAA\ngFJUlLB16aWXpqurK+9+97tTWVn5kscfd9xxSZIf/ehHIz0aAAAAACWqKGHr9ttvT5Lsvvvu63T8\nTjvtlJqamtxzzz1Zvnz5SI4GAAAAQIkqSth64oknkiSbbrrpOr9n0003TaFQyMKFC0dqLAAAAABK\nWFHCVmdnZ9/Fxq375crKypIkra2tIzITAAAAAKWtKGFro402SpLcf//963T8smXL8uijjyZJpk2b\nNlJjAQAAAFDCihK2Xv/61ydJLrjgghQKhZc8/qKLLkpnZ2c23XTTTJ8+faTHAwAAAKAEFSVsvetd\n70pFRUXuuuuunHzyyenp6Vnjsddff33+3//7f0mSY445phjjAQAAAFCCihK25syZk4997GNJkrPP\nPju77757zj333Nxzzz158skn8/DDD+fXv/513v/+9+eAAw5IW1tbZs6cmX/5l38pxngAAAAAlKCy\nwrrcGzgMurq68s53vjO/+c1vXvLYadOmZd68edl1112LMNnY0NzcnMbGxiRJU1NTGhoaRnkiAAAA\nYH01VjpCUVZsJUllZWWuvPLK/Pd//3dmzJix2mMqKipy3HHH5a677hK1AAAAAFiroq3YGqynpyd3\n3XVX7rvvvjQ3N6e2tjabbrpp9tlnn0yaNKnY44wJY6W0AgAAACNvrHSEitG4aHl5eXbffffsvvvu\no3H5ounp6Ulra2smTJiQceOKtjgOAAAAYIOgtgyTQqGQm266KV/4whey//77Z+bMmamurs7kyZNT\nWVmZ7bbbLqecckoWLFgw2qMCAAAAjAmjciviWPT8889n2rRpQ7ZVVVWlrKwsnZ2dA9tqampy7rnn\n5r3vfe+wXn+sLCEEAAAARt5Y6QhWbA2TcePG5YADDshXv/rV3HzzzXnmmWfS0dGR9vb2LFy4MF/9\n6lfT2NiYjo6OfOADH8htt9022iMDAAAAlDQrtoroxhtvzD777JMkOf7443PxxRcP27nHSmkFAAAA\nRt5Y6QhWbBXR3nvvndmzZydJHnjggVGeBgAAAKC0CVtF1tvbmyTZaKONRnkSAAAAgNImbBXRVVdd\nlaeeeipJcvjhh4/chRobk7Ky4n2deOLLn/HEE4s7Y//Xy3XnnaMz53nnvfxZd921+HPuuuvLn/O8\n80bn7/TOO1/+rKMxp39Pw//l39Pwf/n3NPxfL5d/T2v/8u9p+L/8exr+L/+ehv/Lv6fh/3q5/Hta\n+9f69u9pxW2Ipa5itAcYi7q6utLS0pIkWbZsWZ588sn8/Oc/z3e/+90kyT/+4z/mgx/84GiOCAAA\nAFDyhK0RMH/+/BxyyCGrbN91111zyimn5JhjjknZK6jfzc3Na9y3ePHil30+AAAAgFImbI2Aqqqq\nTJkyJUnS0dGRtra2JMmf//zn/PznP88+++yTzTbb7GWft3GMLBMEAAAAGA6jGrZ6enrS0tKS2tra\n1NbWFuWazc3N6enpeVXnmDp16lr3v+lNb8rzzz8/8P2zzz6byy67LJ/5zGfy85//PDfeeGPmz5+f\nHXbY4VXNAQAAALAhK3rYuv/++/Otb30r8+fPz9/+9reB7ZMnT85ee+2VE044IUceeWTKy8tH5Pqv\ne93r8thjj72qc7S3t6empmadj99oo43y8Y9/PAcccEB23333PPPMM/nwhz+cm2666WVdt6mpaY37\nFi9enC222OJlnQ8AAACglBU1bH3+85/PF77whfT29q6yb/HixZk3b17mzZuXvfbaK5dffnk22WST\nYZ+hsbExra2tr+ocr+T5WEmyww475Pjjj895552Xm2++OY8++mg233zzdX5/Q0PDK7ouAAAAwFhU\ntLB1+umn53Of+1ySvjC05557Ztddd82UKVPS0dGRhx9+OPPnz8/ixYtz88035+CDD84tt9yS8ePH\nD+scd91117Ce7+V63eteN/B6wYIFLytsAQAAALBSWaFQKIz0RRYsWJBtttkmXV1d2XPPPfODH/wg\n22677SrHdXR05Iwzzsjpp5+eQqGQz3zmM/n85z8/0uMV1Te+8Y2ccsopSZJbb701e+yxx7Cct7m5\neeDh8k1NTVZ3AQAAAGs0VjrCuGJc5Ec/+lG6urqy3XbbZf78+auNWklSU1OTz3/+8/nSl76UJLnw\nwguLMV5RzZ8/P0lSUVGRrbfeepSnAQAAAChdRQlbt912W5Lk1FNPTV1d3Usef8opp6S+vj6PP/54\nFi1aNNLjDYvVPTfsxS699NL8+te/TpIcdthhmTx58ghPBQAAADB2FeUZW88//3ySZPvtt1+n42tq\najJnzpzcd999ef7557PxxhuP5HjD4r3vfW+ampry9re/Pdtss01mzJiRxsbGtLW15f77789PfvKT\nXHrppUmSadOm5etf//ooTwwAAABQ2ooSturr65P03bO5rvqP7X/v+q6rq2vgUx3XZrfddsvFF1+c\nOXPmFGkyAAAAgLGpKGFr6623zh/+8IdceumlOeyww17y+BtvvDELFy5MXV1dZs2aVYQJX71LLrkk\nH/vYx3LVVVflrrvuyqJFi/Lcc8+luro606dPzy677JIjjjgiBx54YMaNK8odoAAAAABjWlHC1jve\n8Y585zvfyY9+9KPss88++chHPrLGYxcsWJATTjghSfLWt741VVVVxRjxVausrMx+++2X/fbbb7RH\nAQAAANgglBUKhUIxLvTGN74xN9xwQ5LkgAMOyAknnJBddtklDQ0N6ezszMMPP5x58+bl/PPPT1tb\nWyorK3PHHXfkta99bTHGK3lj5WM6AQAAgJE3VjpC0cLWM888k/322y8PPvjgSx5bWVmZiy66KO95\nz3uKMNnYMFZ+IQEAAICRN1Y6QtEe9jR9+vTccccd+Zd/+ZdMmjRpjce95S1vyc033yxqAQAAALBW\nRVuxNVhnZ2duv/32PPDAA2lpaUlNTU1mzpyZvfbaKzNmzCj2OGPCWCmtAAAAwMgbKx2hKA+Pf7Hq\n6urss88+2WeffUbj8gAAAACMAUW7FREAAAAAhlNRwtaee+6ZioqK3HnnnSP6HgAAAAA2HEUJW93d\n3enp6cnLeZzXK3kPAAAAABuO9fZWxP6gNW7cejsiAAAAAKNova1GzzzzTJJk/PjxozwJAAAAAOuj\nUflUxLVpbm7OxRdfnKeeeioVFRXZfPPNR3skAAAAANZDIxK29txzz9xxxx0D3/f09AxsX5tCoZDe\n3t6B79/2trelqqpqJEYEAAAAoMSNSNjqf/D7i61u25rstNNOOeuss4ZzLAAAAADGkBEJW5/4xCfy\n9NNPD3z/zW9+M08++WROPvnkzJo1a43vKy8vz6RJk7LTTjtlt912S1lZ2UiMBwAAAMAYUFbo//jB\nEbTbbrvlzjvvzO23357ddtttpC+3QWpubk5jY2OSpKmpKQ0NDaM8EQAAALC+GisdoSgPj7/ggguy\ndOnSbLvttsW4HAAAAAAbgKKErZ133rkYlwEAAABgAzJutAcAAAAAgFdC2AIAAACgJAlbAAAAAJQk\nYQsAAACAkiRsAQAAAFCShC0AAAAASpKwBQAAAEBJErYAAAAAKEnCFgAAAAAlSdgCAAAAoCRVFPNi\nS5YsyU9/+tNcc801efjhh7NkyZL09PSs9T2/+MUvsuOOOxZpQgAAAABKRdHC1nXXXZejjz46Tz/9\n9Mt6X0dHxwhNBAAAAEApK0rYeuqpp3LYYYeltbU1SbLVVltlt912y5QpU1JeXr7W906fPr0YIwIA\nAABQYooStr7zne+ktbU19fX1ueSSS3LEEUcU47IAAAAAjGFFeXj87bffniQ57bTTRC0AAAAAhkVR\nwlZ7e3uSZN999y3G5QAAAADYABQlbG2xxRZJPAgeAAAAgOFTlLB17LHHJknmz59fjMsBAAAAsAEo\nStg66KCDcvzxx+fss8/OPffcU4xLAgAAADDGFSVsJckFF1yQE088MW984xvz5S9/OY888kixLg0A\nAADAGFRWKBQKI32RAw44IHfffXeSZOnSpent7U2SVFZWpq6ubq3vvfbaazN37tyRHrHkNTc3p7Gx\nMUnS1NSUhoaGUZ4IAAAAWF+NlY5QUYyLLF26NC0tLats7+rqWu32wbq7u0dqLAAAAABKWFHC1okn\nnpiFCxe+ovfOnDlzmKcBAAAAYCwoWtgCAAAAgOFUtIfHAwAAAMBwErYAAAAAKEmjGrZ6enrS1NSU\n9vb20RwDAAAAgBJU9LB1//3356STTsrWW2+dioqKTJkyJXV1dWloaMjb3va2XHrppenp6Sn2WAAA\nAACUmLJCoVAo1sU+//nP5wtf+EJ6e3vXetxee+2Vyy+/PJtsskmRJit9zc3NaWxsTJI0NTWloaFh\nlCcCAAAA1ldjpSMU5VMRk+T000/P5z73uSRJWVlZ9txzz+y6666ZMmVKOjo68vDDD2f+/PlZvHhx\nbr755hx88MG55ZZbMn78+GKNCAAAAEAJKUrYWrBgQU4//fQkyZ577pkf/OAH2XbbbVc5rqOjI2ec\ncUZOP/303H///fnKV76Sz3/+88UYEQAAAIASU5RnbP3oRz9KV1dXtttuu8yfP3+1UStJampq8vnP\nfz5f+tKXkiQXXnhhMcYDAAAAoAQVJWzddtttSZJTTz01dXV1L3n8Kaeckvr6+jz++ONZtGjRSI8H\nAAAAQAkqSth6/vnnkyTbb7/9Oh1fU1OTOXPmDHkvAAAAAAxWlLBVX1+fpO8p++uq/9j+9wIAAADA\nYEUJW1tvvXWS5NJLL12n42+88cYsXLgwdXV1mTVr1kiOBgAAAECJKkrYesc73pGk7yHy55577lqP\nXbBgQU444YQkyVvf+tZUVVWN+HwAAAAAlJ6yQqFQKMaF3vjGN+aGG25IkhxwwAE54YQTsssuu6Sh\noSGdnZ15+OGHM2/evJx//vlpa2tLZWVl7rjjjrz2ta8txnglr7m5OY2NjUn6buNsaGgY5YkAAACA\n9dVY6QhFC1vPPPNM9ttvvzz44IMveWxlZWUuuuiivOc97ynCZGPDWPmFBAAAAEbeWOkIRbkVMUmm\nT5+eO+64I//yL/+SSZMmrfG4t7zlLbn55ptFLQAAAADWqmgrtgbr7OzM7bffngceeCAtLS2pqanJ\nzJkzs9dee2XGjBnFHmdMGCulFQAAABh5Y6UjVIzGRaurq7PPPvtkn332GY3LAwAAADAGFO1WRAAA\nAAAYTsIWAAAAACVpWG9F7OnpSf8juyoqKla7/eUafB4AAAAA6DesK7Ze//rXp7KyMpWVlbnjjjtW\nu/3lfg0+DwAAAAD0cysiAAAAACVpWO/zO+200/Lss88mSTbbbLPVbn+5Bp8HAAAAAPqVFV7pw69Y\nrzQ3N6exsTFJ0tTUlIaGhlGeCAAAAFhfjZWO4FZEAAAAAEqSsAUAAABASRrWZ2y9Ui0tLfnqV7+a\n66+/PhUVFTn44INz8sknp6qqarRHAwAAAGA9VZSw1dnZmenTp6ejoyPPPvtsJk6cOLCvo6Mj+++/\nf/70pz8NbJs/f37mzZuXq666KpWVlcUYEQAAAIASU5RbEefNm5eWlpYceuihQ6JWknz3u98diFpb\nbrlldtlllyTJNddck3POOacY4wEAAABQgooStubPn58kefOb37zKvgsvvDBJcsghh+SBBx7InXfe\nmc9+9rNJku9973vFGA8AAACAElSUsLVw4cIkyezZs4dsf+aZZ3LvvfcmSU455ZRUVPTdGXnqqaem\nqqoq9913X5YuXVqMEQEAAAAoMUUJW08//XSSZOrUqUO233jjjUmS6urq7LvvvgPbJ06cmE022SSF\nQiFPPfVUMUYEAAAAoMQUJWyVl5cnSZqamoZsv+6665Iku+66a6qrq4fsq6+vT5J0dXUVYUIAAAAA\nSk1Rwtbmm2+eJLn55psHthUKhVx55ZVJMmS1Vr/+VV4zZswY+QEBAAAAKDlFCVsHHHBAkuQ73/lO\n/vjHP6azszNnnHFGHn300STJYYcdNuT4rq6uvPDCC6murl7l9kUAAAAASJKKYlzk3e9+dz73uc/l\n8ccfz3777ZeysrIUCoUkyR577JG99957yPG33nprCoVC9txzz5SVlRVjRAAAAABKTFFWbNXV1eXK\nK6/MnDlzkmQgas2dOzc//vGPVzl+3rx5SZKDDz64GOMBAAAAUIKKsmIrSXbeeec88MADuf7667No\n0aJsscUW2WOPPVJRseoIO+ywQ04//fQcffTRxRoPAAAAgBJTVuhfPkVJa25uTmNjY5K+T59saGgY\n5YkAAACA9dVY6QhFuRURAAAAAIZb0W5FXJuWlpZ89atfzfXXX5+KioocfPDBOfnkk1NVVTXaowEA\nAACwnipK2Ors7Mz06dPT0dGRZ599NhMnThzY19HRkf333z9/+tOfBrbNnz8/8+bNy1VXXZXKyspi\njAgAAABAiSnKrYjz5s1LS0tLDj300CFRK0m++93vDkStLbfcMrvsskuS5Jprrsk555xTjPEAAAAA\nKEFFCVvz589Pkrz5zW9eZd+FF16YJDnkkEPywAMP5M4778xnP/vZJMn3vve9YowHAAAAQAkqStha\nuHBhkmT27NlDtj/zzDO59957kySnnHJKKir67ow89dRTU1VVlfvuuy9Lly4txogAAAAAlJiihK2n\nn346STJ16tQh22+88cYkSXV1dfbdd9+B7RMnTswmm2ySQqGQp556qhgjAgAAAFBiihK2ysvLkyRN\nTU1Dtl933XVJkl133TXV1dVD9tXX1ydJurq6ijAhAAAAAKWmKGFr8803T5LcfPPNA9sKhUKuvPLK\nJBmyWqtf/yqvGTNmjPyAAAAAAJScooStAw44IEnyne98J3/84x/T2dmZM844I48++miS5LDDDhty\nfFdXV1544YVUV1evcvsiAAAAACRJRTEu8u53vzuf+9zn8vjjj2e//fZLWVlZCoVCkmSPPfbI3nvv\nPeT4W2+9NYVCIXvuuWfKysqKMSIAAAAAJaYoK7bq6upy5ZVXZs6cOUkyELXmzp2bH//4x6scP2/e\nvCTJwQcfXIzxAAAAAChBRVmxlSQ777xzHnjggVx//fVZtGhRtthii+yxxx6pqFh1hB122CGnn356\njj766GKNBwAAAECJKSv0L5+ipDU3N6exsTFJ36dPNjQ0jPJEAAAAwPpqrHSEotyKCAAAAADDTdgC\nAAAAoCQN6zO2enp6Bh4MP/jZWYO3v1yrewYXAAAAAAzriq3Xv/71qaysTGVlZe64447Vbn+5X4PP\nAwAAAAD93IoIAAAAQEka1vv8TjvttDz77LNJks0222y121+uwecBAAAAgH5lhVf68CvWK2PlYzoB\nAACAkTdWOoJbEYvgK1/5SjbffPOBryeffHK0RwIAAAAoeT5ycIT95S9/yb//+79n+fLlA9u6u7tH\ncSIAAACAsWFUw1Z7e3t6enrWekxdXV3GjSvNhWU9PT15//vfn+XLl2ejjTZ6xc8ZAwAAAGBVRS1G\nf/7zn3PSSSdlu+22S2VlZerq6jJhwoS1ft11113FHHFYff3rX89tt92WXXbZJe9973tHexwAAACA\nMaVoYesb3/hGXve61+Wcc87JAw88MOZvx3vooYfymc98JuXl5TnvvPNSXl4+2iMBAAAAjClFuRXx\nxhtvzKmnnppCoZD6+vq84x3vyM4775yGhoaXvM1w8803L8aIw6q3tzcf/OAH09HRkVNOOSW77rpr\nLr/88tEeCwAAAGBMKUrY+t73vpdCoZCtt94611xzTWbOnFmMy46as88+OzfccEM23XTTnH766aM9\nDgAAAMCYVJRbER9++OEkyWc/+9kxH7UeeeSRfPrTn06SfOc730l9ff0oTwQAAAAwNhVlxVZDQ0OS\nZM6cOcW43KgpFAr50Ic+lLa2trzrXe/KoYceOqznb25uXuO+xYsXD+u1AAAAANZ3RQlbu+++e379\n61/n0UcfzV577VWMS46Kc889N9dcc00mTZqUs846a9jP39jYOOznBAAAAChVRbkV8aSTTsqECRPy\nne98J729vcW4ZNE98cQT+eQnP5kkOfPMMzNjxoxRnggAAABgbCvKiq1p06blF7/4RQ499NAcc8wx\n+e53vztwe2Kx7bPPPnnyySdf1TkefPDBVFdXD9n24Q9/OEuXLs3ee++dE0888VWdf02amprWuG/x\n4sXZYostRuS6AAAAAOujooStJHnTm96Uu+++O+9///sza9asvOUtb8nWW2+durq6tb7vxBNPHNYH\nzj/55JN57LHHXtU5CoXCkO+vuOKKXHXVVamsrMx5552XsrKyV3X+NRmtGAgAAACwPipa2Ors7MxF\nF12Uv/71r1m2bFl++ctfrtP7DjvssGENWzfccEO6u7tf1TlevFrrqaeeSpKUlZXlbW9722rfM/jB\n7/vss08qKirS2NiYu+6661XNAgAAALChKkrY6u7uzlvf+tZce+21A9vGjRuX+vr6jBu39sd8VVQM\n74izZs0a1vMNtnz58nVaDdYfwlpbW0dsFgAAAICxrihh6wc/+MFA1DrxxBPz0Y9+NDvuuGMqKyuL\ncfkRd8IJJ+Swww5b6zFnnnlmzjnnnCTJ9ddfn1mzZqW8vLwY4wEAAACMSUUJW7/73e+SJB/96Efz\n3e9+txiXLKoJEyZkwoQJaz1m0qRJA69nzZqVzTfffISnAgAAABjb1n4f4DB59tlnkyTvete7inE5\nAAAAADYARQlbm266aZK49Q4AAACAYVOUsNW/Uuu6664rxuUAAAAA2ACUFQqFwkhfpLe3N//4j/+Y\na665JjfddFO23377kb7keqe5uTktLS1J+p6xNdyf9tjc3JzGxsYkSVNTUxoaGob1/AAAAMDYMVY6\nQlFWbI0bNy4//vGPc+yxx+YNb3hD/vM//zMLFiwoxqXXGw0NDdl8882z+eabD3vUAgAAANgQFWXF\n1gEHHJC77747SbJ06dL09vYmSSorK1NXV7fW91577bWZO3fuSI9Y8sZKaQUAAABG3ljpCEVZOrR0\n6dKB2/AG6+rqWu32wbq7u0dqLAAAAABKWFHC1oknnpiFCxe+ovfOnDlzmKcBAAAAYCwoWtgCAAAA\ngOFUlIfHAwAAAMBwE7YAAAAAKElFuRXxpbS0tOSrX/1qrr/++lRUVOTggw/OySefnKqqqtEeDQAA\nAID1VFHCVmdnZ6ZPn56Ojo48++yzmThx4sC+jo6O7L///vnTn/40sG3+/PmZN29errrqqlRWVhZj\nRAAAAABKTFFuRZw3b15aWlpy6KGHDolaSfLd7353IGptueWW2WWXXZIk11xzTc4555xijAcAAABA\nCSpK2Jo/f36S5M1vfvMq+y688MIkySGHHJIHHnggd955Zz772c8mSb73ve8VYzwAAAAASlBRwtbC\nhQuTJLNnzx6y/Zlnnsm9996bJDnllFNSUdF3Z+Spp56aqqqq3HfffVm6dGkxRgQAAACgxBQlbD39\n9NNJkqlTpw7ZfuONNyZJqqurs++++w5snzhxYjbZZJMUCoU89dRTxRgRAAAAgBJTlLBVXl6eJGlq\nahqy/brrrkuS7Lrrrqmurh6yr76+PknS1dVVhAkBAAAAKDVFCVubb755kuTmm28e2FYoFHLllVcm\nyZDVWv36V3nNmDFj5AcEAAAAoOQUJWwdcMABSZLvfOc7+eMf/5jOzs6cccYZefTRR5Mkhx122JDj\nu7q68sILL6S6unqV2xcBAAAAIEkqinGRd7/73fnc5z6Xxx9/PPvtt1/KyspSKBSSJHvssUf23nvv\nIcffeuutKRQK2XPPPVNWVlaMEQEAAAAoMUVZsVVXV5crr7wyc+bMSZKBqDV37tz8+Mc/XuX4efPm\nJUkOPvjgYowHAAAAQAkqyoqtJNl5553zwAMP5Prrr8+iRYuyxRZbZI899khFxaoj7LDDDjn99NNz\n9NFHF2s8AAAAAEpMWaF/+RQlrbm5OY2NjUn6Pn2yoaFhlCcCAAAA1ldjpSMU5VZEAAAAABhuwhYA\nAAAAJaloz9hKkiVLluSnP/1prrnmmjz88MNZsmRJenp61vqeX/ziF9lxxx2LNCEAAAAApaJoYeu6\n667L0Ucfnaeffvplva+jo2OEJgIAAACglBUlbD311FM57LDD0tramiTZaqutsttuu2XKlCkpLy9f\n63unT59ejBEBAAAAKDFFCVvf+c530tramvr6+lxyySU54ogjinFZAAAAAMawojw8/vbbb0+SnHba\naaIWAAAAAMOiKGGrvb09SbLvvvsW43IAAAAAbACKEra22GKLJB4EDwAAAMDwKUrYOvbYY5Mk8+fP\nL8blAAAAANgAFCVsHXTQQTn++ONz9tln55577inGJQEAAAAY44oStpLkggsuyIknnpg3vvGN+fKX\nv5xHHnmkWJcGAAAAYAwqKxQKhZG+yAEHHJC77747SbJ06dL09vYmSSorK1NXV7fW91577bWZO3fu\nSI9Y8pqbm9PY2JgkaWpqSkNDwyhPBAAAAKyvxkpHqCjGRZYuXZqWlpZVtnd1da12+2Dd3d0jNRYA\nAAAAJawoYevEE0/MwoULX9F7Z86cOczTAAAAADAWFC1sAQAAAMBwKtrD4wEAAABgOAlbAAAAAJQk\nYQsAAACAklSUZ2ytTmdnZ5qamrJs2bIUCoU1Hjd79uxUV1cXcTIAAAAASkFRw1ZTU1POOuus/M//\n/E/++te/pre39yXfc/vtt2e33XYrwnQAAAAAlJKiha177703hxxySBYuXFisSwIAAAAwhhXlGVvL\nly/PEUcckYULF2bixIn513/91/z85z/PVlttlST55je/mYsvvjjvf//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tRe/evQEARUVF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Kzg7e2t9Ckhkbbk5OQoHe/9JENDQ0ybNk3u9VOnTuHhw4cwNjZWOj8W0NAbTHb9yJ6GODo6om/f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\n"
          }
        }
      ],
      "source": [
        "# plot the power transmitted to the cross port as a function of wavelength\n",
        "plt.axhline(y=-3, color=\"r\", linestyle=\"--\", linewidth=3, label=\"Ideal\")\n",
        "plt.plot(ldas, 10 * np.log10(eta_cross_ldas), linewidth=3, label=\"TMM\")\n",
        "plt.legend()\n",
        "plt.xlim(1.5, 1.6)\n",
        "plt.ylim(-6, 0)\n",
        "plt.xlabel(r\"$\\lambda (\\mu m)$\")\n",
        "plt.ylabel(\"Transmission to cross port (dB)\")\n",
        "plt.show()"
      ],
      "id": "e2227c5e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 3D FDTD\n",
        "\n",
        "The TMM analysis is only meant for an estimation of the optimal design\n",
        "parameters since TMM doesn’t account for crucial details that can only\n",
        "be captured in a rigorous full wave simulation. Starting from the TMM\n",
        "analysis, we can further optimize $L_1$ and $L_2$ using 3D FDTD\n",
        "simulations. This can be done by performing a grid search (parameter\n",
        "sweeping), [adjoint\n",
        "optimization](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd1Intro/),\n",
        "or other gradient-free optimization around the initial values. Since\n",
        "parameter sweeping and adjoint optimization have been demonstrated in\n",
        "various examples such as the\n",
        "[MMI](https://www.flexcompute.com/tidy3d/examples/notebooks/MMI1x4/) and\n",
        "the [mode\n",
        "converter](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd3InverseDesign/),\n",
        "we won’t do it again here but only report the final optimized design.\n",
        "\n",
        "After some further optimization, we determine that the optimal $L_1$ and\n",
        "$L_2$ are 12.4 $\\mu m$ and 4.7 $\\mu m$, which is not far from the TMM\n",
        "estimation of 12.8$\\mu m$ and 4.4 $\\mu m$. Now we demonstrate the FDTD\n",
        "simulation on the optimized device. To define the DC structures, we use\n",
        "Tidy3D’s built-in\n",
        "[PolySlab](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PolySlab.html)."
      ],
      "id": "a5beadbe-6589-4ac7-a8ad-f843a419d848"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [],
      "source": [
        "L_1 = 12.4  # optimal L_1 from the 3d fdtd analysis\n",
        "L_2 = 4.7  # optimal L_2 from the 3d fdtd analysis\n",
        "\n",
        "# define vertices of the top waveguide\n",
        "vertices = [\n",
        "    (L_2 / 2 + L_t + L_1, 0),\n",
        "    (L_2 / 2 + L_t + L_1, w_sc),\n",
        "    (L_2 / 2 + L_t, w_sc),\n",
        "    (L_2 / 2, w_top),\n",
        "    (-L_2 / 2, w_top),\n",
        "    (-L_2 / 2 - L_t, w_sc),\n",
        "    (-L_2 / 2 - L_t - L_1, w_sc),\n",
        "    (-L_2 / 2 - L_t - L_1, 0),\n",
        "]\n",
        "\n",
        "# define the top waveguide\n",
        "DC_top = td.Structure(\n",
        "    geometry=td.PolySlab(\n",
        "        vertices=vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(-h_si / 2, h_si / 2),\n",
        "    ),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "# define vertices of the bottom waveguide\n",
        "vertices = [\n",
        "    (L_2 / 2 + L_t + L_1, -gap_sc - w_sc),\n",
        "    (L_2 / 2 + L_t + L_1, -gap_sc),\n",
        "    (L_2 / 2 + L_t, -gap_sc),\n",
        "    (L_2 / 2, -gap_pc),\n",
        "    (-L_2 / 2, -gap_pc),\n",
        "    (-L_2 / 2 - L_t, -gap_sc),\n",
        "    (-L_2 / 2 - L_t - L_1, -gap_sc),\n",
        "    (-L_2 / 2 - L_t - L_1, -gap_sc - w_sc),\n",
        "]\n",
        "\n",
        "# define the bottom waveguide\n",
        "DC_bottom = td.Structure(\n",
        "    geometry=td.PolySlab(\n",
        "        vertices=vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(-h_si / 2, h_si / 2),\n",
        "    ),\n",
        "    medium=si,\n",
        ")"
      ],
      "id": "fb7355c9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The input and output waveguides are connected to circular bends, which\n",
        "can be most conveniently defined using `gdstk`."
      ],
      "id": "96950cc4-3bcb-4354-8af7-13c147afb1a8"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [],
      "source": [
        "R = 5  # bend radius\n",
        "\n",
        "cell = gdstk.Cell(\"bends\")  # define a gds cell\n",
        "\n",
        "# define the first input waveguide bend\n",
        "bend_1 = gdstk.FlexPath((L_2 / 2 + L_t, w_sc / 2), w_sc, layer=1, datatype=0)\n",
        "bend_1.horizontal(L_2 / 2 + L_t + L_1)\n",
        "bend_1.arc(R, -np.pi / 2, 0)\n",
        "bend_1.vertical(2 * l)\n",
        "cell.add(bend_1)\n",
        "\n",
        "# define the second input waveguide bend\n",
        "bend_2 = bend_1.copy()\n",
        "bend_2.mirror((0, 0), (0, 1))\n",
        "cell.add(bend_2)\n",
        "\n",
        "# define the third input waveguide bend\n",
        "bend_3 = bend_1.copy()\n",
        "bend_3.mirror((0, -gap_sc / 2), (1, -gap_sc / 2))\n",
        "cell.add(bend_3)\n",
        "\n",
        "# define the forth input waveguide bend\n",
        "bend_4 = bend_2.copy()\n",
        "bend_4.mirror((0, -gap_sc / 2), (1, -gap_sc / 2))\n",
        "cell.add(bend_4)\n",
        "\n",
        "# define the waveguide bend tidy3d geometries\n",
        "bends_geo = td.PolySlab.from_gds(\n",
        "    cell,\n",
        "    gds_layer=1,\n",
        "    axis=2,\n",
        "    slab_bounds=(-h_si / 2, h_si / 2),\n",
        ")\n",
        "\n",
        "# define the waveguide bend tidy3d structures\n",
        "bends = [td.Structure(geometry=bend_geo, medium=si) for bend_geo in bends_geo]"
      ],
      "id": "0c323d15"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Define source, monitors, and simulation."
      ],
      "id": "907548c5-edb9-4f22-9443-5587af659c13"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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hZU2FT53dxdsWXhXO/sWCwBIAAAAAgLHL6c7L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8+UYojw2XingY93ejjKy56+Yf3umc3qG06WeigAAAAAgCJ7YVuH/vziNjkOf5+HP0p6ykkoFNI7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\nMpNTwQEAA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          }
        }
      ],
      "source": [
        "# define a mode source that injects te mode\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-L_2 / 2 - L_t - L_1 - R, -R - l / 10, 0),\n",
        "    size=(4 * w_sc, 0, 4 * h_si),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    direction=\"+\",\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=0,\n",
        "    num_freqs=7,\n",
        ")\n",
        "\n",
        "# define a mode monitor to measure the transmission to cross port\n",
        "mode_monitor_cross = td.ModeMonitor(\n",
        "    center=(L_2 / 2 + L_t + L_1 + R, R + l / 10, 0),\n",
        "    size=(4 * w_sc, 0, 4 * h_si),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode_cross\",\n",
        ")\n",
        "\n",
        "# define a mode monitor to measure the transmission to through port\n",
        "mode_monitor_through = td.ModeMonitor(\n",
        "    center=(L_2 / 2 + L_t + L_1 + R, -R - l / 10, 0),\n",
        "    size=(4 * w_sc, 0, 4 * h_si),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode_through\",\n",
        ")\n",
        "\n",
        "# define a field monitor to visualize mode propagation\n",
        "field_monitor = td.FieldMonitor(size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\")\n",
        "\n",
        "run_time = 2e-12  # simulation run time\n",
        "\n",
        "# simulation domain size\n",
        "Lx = 2 * L_1 + 2 * L_t + L_2 + 2 * R + l / 4\n",
        "Ly = 2 * R + l / 4\n",
        "Lz = 9 * h_si\n",
        "\n",
        "# define a simulation\n",
        "sim = td.Simulation(\n",
        "    size=(Lx, Ly, Lz),\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0),\n",
        "    structures=bends + [DC_top, DC_bottom],\n",
        "    sources=[mode_source],\n",
        "    monitors=[mode_monitor_cross, mode_monitor_through, field_monitor],\n",
        "    run_time=run_time,\n",
        "    medium=sio2,\n",
        "    symmetry=(0, 0, 1),\n",
        ")\n",
        "\n",
        "ax = sim.plot(z=0)\n",
        "ax.set_aspect(\"auto\")\n",
        "plt.show()"
      ],
      "id": "ea3fb0ac"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the simulation job to the server. Before running the simulation,\n",
        "we can get a cost estimation using `estimate_cost`. This prevents us\n",
        "from accidentally running large jobs that we set up by mistake. The\n",
        "estimated cost is the maximum cost corresponding to running all the time\n",
        "steps."
      ],
      "id": "1e5368ed-811d-440c-b245-792cbd69f445"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "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\">03:24:23 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'full_structure'</span> with resource_id                     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-708fca54-4c6c-452f-bc71-476f0f996d8b'</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-708fca54-4c6c-452f-bc71-476f0f996d8b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-708fca54-4c6</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-708fca54-4c6c-452f-bc71-476f0f996d8b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">c-452f-bc71-476f0f996d8b'</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\":\"e0938b419aef400d9488ddbac4c32f1d\",\"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\">03:24:25 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.438</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>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"full_structure\")\n",
        "estimated_cost = web.estimate_cost(job.task_id)"
      ],
      "id": "b71396d7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The cost is reasonably so we can run the simulation."
      ],
      "id": "daea1d23-ce4f-4187-80f3-9d0448bad0e7"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "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\">03:24:26 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"43a9256bc1e3409eb61572efa30a8252\",\"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\">03:24:29 UTC </span>Loading results from data/simulation_data.hdf5                     \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
      ],
      "id": "536534f9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After the simulation is complete, we plot the splitting ratio and\n",
        "compare it to the ideal case. From the plot, we can see that the\n",
        "designed DC maintains a -3 dB splitting ratio very well across the\n",
        "wavelength range of interest. The bandwidth is larger than 100 nm. As a\n",
        "comparison, [traditional\n",
        "DCs](https://tidy3d.simulation.cloud/workbench?taskId=pa-45ba95c2-3ced-4331-8ea3-01c49041f516)\n",
        "have a much smaller working bandwidth."
      ],
      "id": "96966bfd-9e6c-46d1-a6cc-3a24b8a83bdf"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "# calculate transmission to cross port\n",
        "amp_cross = sim_data[\"mode_cross\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "T_cross = np.abs(amp_cross) ** 2\n",
        "\n",
        "# calculate transmission to through port\n",
        "amp_through = sim_data[\"mode_through\"].amps.sel(mode_index=0, direction=\"-\")\n",
        "T_through = np.abs(amp_through) ** 2\n",
        "\n",
        "T_total = T_cross + T_through  # total transmitted power\n",
        "\n",
        "plt.axhline(y=-3, color=\"r\", linestyle=\"--\", linewidth=3, label=\"Ideal\")\n",
        "plt.plot(ldas, 10 * np.log10(T_cross / T_total), linewidth=3, label=\"FDTD\")\n",
        "plt.xlabel(r\"$\\lambda (\\mu m)$\")\n",
        "plt.ylabel(\"Transmission to cross port (dB)\")\n",
        "plt.xlim(1.5, 1.6)\n",
        "plt.ylim(-6, 0)\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "28979b65"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, visualize the power distribution at the central wavelength,\n",
        "which confirms the even splitting of power."
      ],
      "id": "082b04ec-ed56-4371-af59-48053a88435b"
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Zf/7zn/Xee+/pvPPOU2Njo6644oqCxShluVY6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\n3reBA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          }
        }
      ],
      "source": [
        "ax = sim_data.plot_field(field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", vmin=0, vmax=4000)\n",
        "ax.set_aspect(\"auto\")\n",
        "plt.show()"
      ],
      "id": "4ba2d408"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}