{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "87503933",
   "metadata": {},
   "source": [
    "# Compact polarization splitter-rotator"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cebe8db1",
   "metadata": {},
   "source": [
    "Silicon-on-insulator (SOI) devices are known to be polarization sensitive. Devices that can manipulate the polarization of light are important components of an integrated photonic system. \n",
    "\n",
    "This model demonstrates the design of a compact polarization splitter-rotator that consists of an adiabatic waveguide tapper and an asymmetric directional coupler. When the TM0 mode is launched at the input end, it is efficiently converted into the TE1 mode at the tapper and then coupled to the TE0 mode at the narrow waveguide through the directional coupler. When the TE0 mode is launched at the input end, it propagates through the tapper without polarization change and coupling to the narrow waveguide. That is, the TE and TM polarizations are separated by this device and the output is always TE polarization, as schematically shown below. This model is based on [Daoxin Dai and John E. Bowers, \"Novel concept for ultracompact polarization splitter-rotator based on silicon nanowires,\" Opt. Express 19, 10940-10949 (2011)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-19-11-10940&id=214189).\n",
    "\n",
    "<img src=\"img/polarizer_rotator.png\">"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2de5ac4f",
   "metadata": {},
   "source": [
    "## Simulation Setup "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d7d7a340",
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     "shell.execute_reply": "2023-02-03T04:58:12.324055Z"
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   "outputs": [
    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[22:58:11] </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING </span> This version of Tidy3D was pip installed from the <span style=\"color: #008000; text-decoration-color: #008000\">'tidy3d-beta'</span> repository on   <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">__init__.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#103\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">103</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>         PyPI. Future releases will be uploaded to the <span style=\"color: #008000; text-decoration-color: #008000\">'tidy3d'</span> repository. From now on, <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">               </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>         please use <span style=\"color: #008000; text-decoration-color: #008000\">'pip install tidy3d'</span> instead.                                        <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">               </span>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[22:58:11]\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING \u001b[0m This version of Tidy3D was pip installed from the \u001b[32m'tidy3d-beta'\u001b[0m repository on   \u001b]8;id=932456;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\u001b\\\u001b[2m__init__.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=109781;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#103\u001b\\\u001b[2m103\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m         PyPI. Future releases will be uploaded to the \u001b[32m'tidy3d'\u001b[0m repository. From now on, \u001b[2m               \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m         please use \u001b[32m'pip install tidy3d'\u001b[0m instead.                                        \u001b[2m               \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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: #000080; text-decoration-color: #000080\">INFO    </span> Using client version: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.9</span>.0rc1                                                  <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">__init__.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#121\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">121</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m Using client version: \u001b[1;36m1.9\u001b[0m.0rc1                                                  \u001b]8;id=181558;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\u001b\\\u001b[2m__init__.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=827715;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#121\u001b\\\u001b[2m121\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins import ModeSolver\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee47465c",
   "metadata": {},
   "source": [
    "Define geometric parameters. The device consists of a wide tapered waveguide and a narrow waveguide. They are coupled through a directional coupler."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c7f6dcb8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:58:12.326137Z",
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     "shell.execute_reply": "2023-02-03T04:58:12.327842Z"
    }
   },
   "outputs": [],
   "source": [
    "w0 = 0.54  # width of the input/output single mode waveguides\n",
    "w1 = 0.69  # width of the first tapper\n",
    "w2 = 0.83  # width of the second tapper\n",
    "w3 = 0.9  # width of the third tapper\n",
    "w4 = 0.405  # width of the narrow waveguide\n",
    "w_gap = 0.15  # gap of the directional coupler\n",
    "L_tp1 = 4  # length of the first tapper\n",
    "L_tp2 = 44  # length of the second tapper\n",
    "L_tp3 = L_tp1 * (w3 - w2) / (w1 - w0)  # length of the third tapper\n",
    "L_dc = 7  # length of the directional coupler\n",
    "L_tpout = 14  # length of the output tapper\n",
    "shift = 0.4  # shift of the narrow waveguide output\n",
    "h_co = 0.22  # thickness of the waveguides\n",
    "inf_eff = 1000  # effective infinity used to make sure the waveguides extend into pml\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3b96978",
   "metadata": {},
   "source": [
    "Define materials. The waveguides are made of silicon. The upper cladding is silicon nitride and the lower cladding is silicon oxide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e896b235",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:58:12.329437Z",
     "iopub.status.busy": "2023-02-03T04:58:12.329340Z",
     "iopub.status.idle": "2023-02-03T04:58:12.331196Z",
     "shell.execute_reply": "2023-02-03T04:58:12.330957Z"
    }
   },
   "outputs": [],
   "source": [
    "si = td.Medium(permittivity=3.455**2)\n",
    "sio2 = td.Medium(permittivity=1.445**2)\n",
    "si3n4 = td.Medium(permittivity=2**2)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a621fb5",
   "metadata": {},
   "source": [
    "The silicon structures are defined using PolySlabs. The coordinates of the vertices can be determined by the taper widths and lengths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9b823f6c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:58:12.332504Z",
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     "shell.execute_reply": "2023-02-03T04:58:12.336851Z"
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   },
   "outputs": [],
   "source": [
    "cladding = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, -h_co / 2), rmax=(inf_eff, inf_eff, inf_eff)\n",
    "    ),\n",
    "    medium=si3n4,\n",
    ")\n",
    "\n",
    "vertices = np.array(\n",
    "    [\n",
    "        (-w0 / 2, -inf_eff),\n",
    "        (-w0 / 2, 0),\n",
    "        (-w1 / 2, L_tp1),\n",
    "        (-w2 / 2, L_tp1 + L_tp2),\n",
    "        (-w3 / 2, L_tp1 + L_tp2 + L_tp3),\n",
    "        (-w3 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (-w0 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (-w0 / 2, inf_eff),\n",
    "        (w0 / 2, inf_eff),\n",
    "        (w0 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (w3 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (w3 / 2, L_tp1 + L_tp2 + L_tp3),\n",
    "        (w2 / 2, L_tp1 + L_tp2),\n",
    "        (w1 / 2, L_tp1),\n",
    "        (w0 / 2, 0),\n",
    "        (w0 / 2, -inf_eff),\n",
    "    ]\n",
    ")\n",
    "\n",
    "wide_wg = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h_co / 2, h_co / 2)),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "vertices = np.array(\n",
    "    [\n",
    "        (-w3 / 2 - w_gap - w4, L_tp1 + L_tp2 + L_tp3),\n",
    "        (-w3 / 2 - w_gap - w4, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (-w3 / 2 - w_gap - w4 - shift, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (-w3 / 2 - w_gap - w4 - shift, inf_eff),\n",
    "        (-w3 / 2 - w_gap - shift, inf_eff),\n",
    "        (-w3 / 2 - w_gap - shift, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (-w3 / 2 - w_gap, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (-w3 / 2 - w_gap, L_tp1 + L_tp2 + L_tp3),\n",
    "    ]\n",
    ")\n",
    "narrow_wg = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h_co / 2, h_co / 2)),\n",
    "    medium=si,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f18c9962",
   "metadata": {},
   "source": [
    "Set up a mode source for excitation. First, we launch the TE0 mode with the mode source. Later, we will change the mode source to launch the TM0 mode. \n",
    "\n",
    "Two flux monitors and two mode monitors are set up at the outputs of the wide and narrow waveguides. A field monitor is added to monitor the field at z=0 plane. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7c0563c3",
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2023-02-03T04:58:12.438819Z"
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    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lda0 = 1.525  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.45, 1.6, 101)  # wavelength range\n",
    "freqs = td.C_0 / ldas  # frequency range\n",
    "\n",
    "# buffer lengths in x and y directions\n",
    "buffer_x = 1\n",
    "buffer_y = 2\n",
    "\n",
    "# simulation domain size\n",
    "Lx = w3 + w_gap + w4 + shift + 2 * buffer_x\n",
    "Ly = L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout + 2 * buffer_y\n",
    "Lz = 10 * h_co\n",
    "sim_size = (Lx, Ly, Lz)\n",
    "\n",
    "# define mode source that launches the TE0 mode (mode_index=0). Later, we will modify it to investigate the TM0 mode case\n",
    "mode_spec = td.ModeSpec(num_modes=2, target_neff=3)\n",
    "mode_source = td.ModeSource(\n",
    "    center=(0, -buffer_y / 2, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# define a field monitor\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, -buffer_y / 2, 0), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")\n",
    "\n",
    "# define two flux monitors at the two outputs to measure transmission\n",
    "flux_monitor1 = td.FluxMonitor(\n",
    "    center=(0, Ly - buffer_y, 0), size=(3 * w0, 0, 5 * h_co), freqs=freqs, name=\"flux1\"\n",
    ")\n",
    "\n",
    "flux_monitor2 = td.FluxMonitor(\n",
    "    center=(-w4 / 2 - w3 / 2 - w_gap - shift, Ly - buffer_y, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    freqs=freqs,\n",
    "    name=\"flux2\",\n",
    ")\n",
    "\n",
    "# define two mode monitors at the two outputs to study output polarization\n",
    "mode_monitor1 = td.ModeMonitor(\n",
    "    center=(0, Ly - buffer_y, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode1\",\n",
    ")\n",
    "\n",
    "mode_monitor2 = td.ModeMonitor(\n",
    "    center=(-w4 / 2 - w3 / 2 - w_gap - shift, Ly - buffer_y, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode2\",\n",
    ")\n",
    "\n",
    "# initialize the Simulation object\n",
    "sim = td.Simulation(\n",
    "    center=(-(shift + w_gap) / 2, Ly / 2 - buffer_y, 0),\n",
    "    size=sim_size,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "    structures=[cladding, wide_wg, narrow_wg],\n",
    "    sources=[mode_source],\n",
    "    monitors=[\n",
    "        field_monitor,\n",
    "        flux_monitor1,\n",
    "        flux_monitor2,\n",
    "        mode_monitor1,\n",
    "        mode_monitor2,\n",
    "    ],\n",
    "    run_time=2e-12,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "# plot the simulation at z=0 to inspect the structure, source, and monitors\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sim.plot(z=0, ax=ax)\n",
    "ax.set_aspect(\"auto\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10b7f422",
   "metadata": {},
   "source": [
    "Before the simulation, we can visualize the mode fields to ensure we are launching the correct mode at the source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4cbba902",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:58:12.440554Z",
     "iopub.status.busy": "2023-02-03T04:58:12.440439Z",
     "iopub.status.idle": "2023-02-03T04:58:12.809058Z",
     "shell.execute_reply": "2023-02-03T04:58:12.808425Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n",
      "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n"
     ]
    }
   ],
   "source": [
    "mode_solver = ModeSolver(\n",
    "    simulation=sim,\n",
    "    plane=td.Box(center=(0, -buffer_y / 2, 0), size=(2 * w0, 0, 5 * h_co)),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=[freq0],\n",
    ")\n",
    "mode_data = mode_solver.solve()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64e8829f",
   "metadata": {},
   "source": [
    "As expected, the first mode (mode_index=0) is the TE0 mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0dbf9e4e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:58:12.812422Z",
     "iopub.status.busy": "2023-02-03T04:58:12.812174Z",
     "iopub.status.idle": "2023-02-03T04:58:13.133471Z",
     "shell.execute_reply": "2023-02-03T04:58:13.133159Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x300 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, tight_layout=True, figsize=(10, 3))\n",
    "abs(mode_data.Ex.isel(mode_index=0)).plot(x=\"x\", y=\"z\", ax=ax1, cmap=\"magma\")\n",
    "abs(mode_data.Ey.isel(mode_index=0)).plot(x=\"x\", y=\"z\", ax=ax2, cmap=\"magma\")\n",
    "abs(mode_data.Ez.isel(mode_index=0)).plot(x=\"x\", y=\"z\", ax=ax3, cmap=\"magma\")\n",
    "\n",
    "ax1.set_title(\"|Ex(x, y)|\")\n",
    "ax2.set_title(\"|Ey(x, y)|\")\n",
    "ax3.set_title(\"|Ez(x, y)|\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "750b312f",
   "metadata": {},
   "source": [
    "The second mode (mode_index=1) is the TM0 mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9ce3d068",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:58:13.135131Z",
     "iopub.status.busy": "2023-02-03T04:58:13.135023Z",
     "iopub.status.idle": "2023-02-03T04:58:13.369859Z",
     "shell.execute_reply": "2023-02-03T04:58:13.369606Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x300 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, tight_layout=True, figsize=(10, 3))\n",
    "abs(mode_data.Hx.isel(mode_index=1)).plot(x=\"x\", y=\"z\", ax=ax1, cmap=\"magma\")\n",
    "abs(mode_data.Hy.isel(mode_index=1)).plot(x=\"x\", y=\"z\", ax=ax2, cmap=\"magma\")\n",
    "abs(mode_data.Hz.isel(mode_index=1)).plot(x=\"x\", y=\"z\", ax=ax3, cmap=\"magma\")\n",
    "\n",
    "ax1.set_title(\"|Hx(x, y)|\")\n",
    "ax2.set_title(\"|Hy(x, y)|\")\n",
    "ax3.set_title(\"|Hz(x, y)|\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a289f55c",
   "metadata": {},
   "source": [
    "After making sure the simulation setups and mode profiles are correct, submit the simulation to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f7326c62",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:58:13.371374Z",
     "iopub.status.busy": "2023-02-03T04:58:13.371273Z",
     "iopub.status.idle": "2023-02-03T04:59:55.944213Z",
     "shell.execute_reply": "2023-02-03T04:59:55.943792Z"
    }
   },
   "outputs": [
    {
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>         <span style=\"color: #008000; text-decoration-color: #008000\">'12e58726-6706-4296-bf86-aac86bf86cf3'</span>.                                           <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m[22:58:14]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m Created task \u001b[32m'polarization_splitter_rotator'\u001b[0m with task_id                         \u001b]8;id=363226;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=899449;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#120\u001b\\\u001b[2m120\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m         \u001b[32m'12e58726-6706-4296-bf86-aac86bf86cf3'\u001b[0m.                                           \u001b[2m             \u001b[0m\n"
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       "\u001b[?25l"
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       "</pre>\n"
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       "\n",
       "\u001b[?25h\r",
       "\u001b[1A\u001b[2K"
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       "</pre>\n"
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       "\u001b[2;36m[22:58:35]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m starting up solver                                                                \u001b]8;id=356338;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=418537;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#278\u001b\\\u001b[2m278\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
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       "\u001b[2;36m[22:59:42]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m early shutoff detected, exiting.                                                  \u001b]8;id=217411;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=624224;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#295\u001b\\\u001b[2m295\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m status = postprocess                                                              \u001b]8;id=400876;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=438290;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#301\u001b\\\u001b[2m301\u001b[0m\u001b]8;;\u001b\\\n"
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       "\n",
       "\u001b[?25h\r",
       "\u001b[1A\u001b[2K"
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     "metadata": {},
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #000080; text-decoration-color: #000080\">INFO    </span> Billed FlexUnit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.361</span>                                                       <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#311\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">311</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m Billed FlexUnit cost: \u001b[1;36m0.361\u001b[0m                                                       \u001b]8;id=125741;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=644494;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#311\u001b\\\u001b[2m311\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #000080; text-decoration-color: #000080\">INFO    </span> downloading file <span style=\"color: #008000; text-decoration-color: #008000\">\"output/monitor_data.hdf5\"</span> to <span style=\"color: #008000; text-decoration-color: #008000\">\"data/simulation_data.hdf5\"</span>        <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#593\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">593</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m downloading file \u001b[32m\"output/monitor_data.hdf5\"\u001b[0m to \u001b[32m\"data/simulation_data.hdf5\"\u001b[0m        \u001b]8;id=705566;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=704825;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#593\u001b\\\u001b[2m593\u001b[0m\u001b]8;;\u001b\\\n"
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      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f895a1a09aa646108c61e8abbc4453a0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
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       "\n",
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[22:59:55] </span><span style=\"color: #000080; text-decoration-color: #000080\">INFO    </span> loading SimulationData from data/simulation_data.hdf5                             <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#415\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">415</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[22:59:55]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m loading SimulationData from data/simulation_data.hdf5                             \u001b]8;id=376533;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=869064;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#415\u001b\\\u001b[2m415\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"polarization_splitter_rotator\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35e4c152",
   "metadata": {},
   "source": [
    "## Case 1: Launching the TE0 Mode at the Input"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56e92d80",
   "metadata": {},
   "source": [
    "Visualize the field intensity distribution to see the propagation of the input TE0 mode. We can see that it propagates through the wide waveguide with no coupling to the narrow waveguide. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "26074a9d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:59:57.023572Z",
     "iopub.status.busy": "2023-02-03T04:59:57.023492Z",
     "iopub.status.idle": "2023-02-03T04:59:58.851453Z",
     "shell.execute_reply": "2023-02-03T04:59:58.851197Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sim_data.plot_field(\"field\", \"int\", ax=ax, f=freq0)\n",
    "ax.set_aspect(\"auto\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7e70b6f",
   "metadata": {},
   "source": [
    "Plot the transmission at the two outputs. The transmission through the wide waveguide is nearly 100% with very little coupling to the narrow waveguide. \n",
    "\n",
    "Then plot the mode composition at the wide waveguide output. We can see that the TE polarization is preserved with no conversion to TM. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "281c6a99",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:59:58.852964Z",
     "iopub.status.busy": "2023-02-03T04:59:58.852868Z",
     "iopub.status.idle": "2023-02-03T04:59:59.117760Z",
     "shell.execute_reply": "2023-02-03T04:59:59.117491Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x13fc2e200>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 5))\n",
    "T1 = sim_data[\"flux1\"].flux\n",
    "T2 = sim_data[\"flux2\"].flux\n",
    "\n",
    "plt.sca(ax1)\n",
    "plt.plot(ldas, T1, ldas, T2)\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Transmission\")\n",
    "plt.legend((\"Wide waveguide\", \"Narrow waveguide\"))\n",
    "\n",
    "plt.sca(ax2)\n",
    "mode_amp = sim_data[\"mode1\"].amps.sel(direction=\"+\")\n",
    "mode_power = np.abs(mode_amp) ** 2 / T1\n",
    "plt.plot(ldas, mode_power)\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Power share at Port1 (%)\")\n",
    "plt.legend([\"TE0\", \"TM0\"])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b024888d",
   "metadata": {},
   "source": [
    "## Case 2: Launching the TM0 Mode at the Input"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "803ef159",
   "metadata": {},
   "source": [
    "Next, we investigate the case where the TM0 mode is launched at the input. To set up the simulation, we simply need to copy the previous simulation and update the mode source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "609f5c86",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:59:59.119375Z",
     "iopub.status.busy": "2023-02-03T04:59:59.119264Z",
     "iopub.status.idle": "2023-02-03T05:01:43.332357Z",
     "shell.execute_reply": "2023-02-03T05:01:43.331914Z"
    }
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "\u001b[2;36m[22:59:59]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m Created task \u001b[32m'polarization_splitter_rotator'\u001b[0m with task_id                         \u001b]8;id=877202;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=762243;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#120\u001b\\\u001b[2m120\u001b[0m\u001b]8;;\u001b\\\n",
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       "\u001b[?25l"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n",
       "\u001b[?25h"
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     },
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     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[23:00:01] </span><span style=\"color: #000080; text-decoration-color: #000080\">INFO    </span> Maximum FlexUnit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.692</span>                                                      <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#253\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">253</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[23:00:01]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m Maximum FlexUnit cost: \u001b[1;36m0.692\u001b[0m                                                      \u001b]8;id=595353;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=849897;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#253\u001b\\\u001b[2m253\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #000080; text-decoration-color: #000080\">INFO    </span> status = queued                                                                   <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#262\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">262</span></a>\n",
       "</pre>\n"
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       "\u001b[?25l"
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       "\u001b[2;36m[23:00:04]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m status = preprocess                                                               \u001b]8;id=577442;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=61767;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#274\u001b\\\u001b[2m274\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[?25h\r",
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       "</pre>\n"
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       "\u001b[2;36m[23:00:11]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m starting up solver                                                                \u001b]8;id=907174;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=836934;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#278\u001b\\\u001b[2m278\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
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       "\u001b[2;36m[23:00:21]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m running solver                                                                    \u001b]8;id=656450;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=688749;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#284\u001b\\\u001b[2m284\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[2;36m[23:01:23]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m early shutoff detected, exiting.                                                  \u001b]8;id=964477;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=26548;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#295\u001b\\\u001b[2m295\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[?25h"
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       "\u001b[?25l"
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       "\u001b[2;36m[23:01:37]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m status = success                                                                  \u001b]8;id=579290;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=257793;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#307\u001b\\\u001b[2m307\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
      ],
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       "\n",
       "\u001b[?25h\r",
       "\u001b[1A\u001b[2K"
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       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m Billed FlexUnit cost: \u001b[1;36m0.388\u001b[0m                                                       \u001b]8;id=192191;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=485345;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#311\u001b\\\u001b[2m311\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m downloading file \u001b[32m\"output/monitor_data.hdf5\"\u001b[0m to \u001b[32m\"data/simulation_data.hdf5\"\u001b[0m        \u001b]8;id=964399;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=829717;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#593\u001b\\\u001b[2m593\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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>\n"
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      "text/plain": [
       "\u001b[?25l"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "804b3240aaad40c2881768fd0845f94a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n",
       "\u001b[?25h"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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\">[23:01:43] </span><span style=\"color: #000080; text-decoration-color: #000080\">INFO    </span> loading SimulationData from data/simulation_data.hdf5                             <a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#415\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">415</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[23:01:43]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m loading SimulationData from data/simulation_data.hdf5                             \u001b]8;id=377845;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=878230;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#415\u001b\\\u001b[2m415\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_source = td.ModeSource(\n",
    "    center=(0, -buffer_y / 2, 0),\n",
    "    size=(2 * w0, 0, 5 * h_co),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=1,\n",
    ")  # mode_index=1 corresponds to the TM0 mode\n",
    "\n",
    "sim = sim.copy(update={\"sources\": [mode_source]})\n",
    "job = web.Job(simulation=sim, task_name=\"polarization_splitter_rotator\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2129fe78",
   "metadata": {},
   "source": [
    "Visualize the field intensity distribution to see the propagation of the input TM0 mode. We can see that the TM0 mode is efficiently converted to the TE1 mode and then coupled to the narrow waveguide through the directional coupler region. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e7d2839d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T05:01:44.365776Z",
     "iopub.status.busy": "2023-02-03T05:01:44.365686Z",
     "iopub.status.idle": "2023-02-03T05:01:46.211488Z",
     "shell.execute_reply": "2023-02-03T05:01:46.211216Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sim_data.plot_field(\"field\", \"int\", ax=ax, f=freq0)\n",
    "ax.set_aspect(\"auto\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e8c6f18",
   "metadata": {},
   "source": [
    "Plot the transmission at the two outputs. At the central wavelength, above 90% of the power is coupled to the narrow waveguide.\n",
    "\n",
    "Then plot the mode composition at the narrow waveguide output. We can see that the TE polarization is dominant, indicating a good TM to TE mode conversion efficiency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b1dd0a40",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T05:01:46.213032Z",
     "iopub.status.busy": "2023-02-03T05:01:46.212950Z",
     "iopub.status.idle": "2023-02-03T05:01:46.385086Z",
     "shell.execute_reply": "2023-02-03T05:01:46.384836Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x13fc02c20>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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x1pxWa7Z5CvOMLujbv4Xt30Ne2ul9QXUg9iZoPQQiWpgWokhpqa4pGxd7HR0OBxl5Rc4Jeo6k5XIoLff0bOAnczmWlf+3SbWf1fN067QzmfZ3tl4H+WpySBGRyqqgyE7CiRy27E/ihq5NlHSXJf0QcnP5WUbr6ZbPjK7jjjO6k9TpbLSeNh8EIdHmxSjnV1RgJOB/fGUk4GfOiB4RC21uhda3QLVw82IUuQCqa8rGua5jcUKdcsaa1EfSc089npoRNy2X7L8ZUw3ga/UwxlNXP70sTfHr6FA/qgd4u/06vSIiVZ0mUnMB/RByQ3Y7HPgZNn1itJYW5pzeV6s9tLrR6K6sRLtyKcyD3Yvg98+Mie6Kl2uzeBozoLe9HZpcDV7e5sYpcg6qa8pG8XW8//2fSSvyIiUjn+T0vL8cn3emUH8rUcHGzN9nzgJe+9Q6sEqqRUSkPOpsrTUhldeJfbBpLmz+FNITT5eH1je6I8feDGGNzItPLo3V17hZ0uJayD0JW7+EzZ8Yk7DtWmhs/mFG8t3hLqjR0OyIRcRFftiSjIePf4myYD8rUcHGWtS1QnyJDPIjKsSXqGBfaoX4ERXsi7+3fuaIiIj51NItlUtRPuz4HjZ8aHRDLuYTDK1uMBKwOp00RtudHdsFm+caPRuykk+Xx/SCjncbY/XV+i0mU11TNoqv4/QfNlEvKoyIIF8ig4xE289bk5SJiMilU/dyF9APoUrqxD74dbbRsu1c79liLO3V7g5juSmrn6khSjmzFRkzoG/4wFiGrHiivGoR0H640fodXNvMCKUKU11TNnQdRUTE1dS9XKo2W5Expnf9+7B36enywFpGot3uDgitZ158Yi5PL2g2wNjSEmHjR7DxQ8hKgZ//Bb+8Ds0GQtcHoW5X9X4QEREREVMo6ZaKJ+eEkUCtf++MsdoWaBRndB9ufKWRcIkUC4mGyyZA7yeM4Qfr34ODK08tQ/YtRLWBLg8YQxC8fMyOVkRERESqEGUuUnGkbIO1s4zZqotyjTK/6tD+TugwAqrXNzc+qfi8vI3EutUNkPLH6b+npM3w9ShY8hx0vs+4eRNQw+xoRURERKQK0JhuMZfDYXQdXz0T9v50ujwyFrqMMpb70lhtuRTZx2HjHFj3HmQeMcq8/KDtbUbX87DGpoYn7kl1TdnQdRQREVfTmG5xX0X5sOVzI9k+us0os3gYM093fQDqdtMYXCkbATWg12PQfQz88TWsfsto+f51Nvz6gTEJX48xxrhvEREREZEypqRbyldehjHb9Jq3ITPJKPOuBu3uhK6jIDTG1PDEjXlaofXNEHsTHFwFq2fAzh9g5wJji+4CPf4BTa4GDw+zoxURERERN6GkW8pH1lFY829YPxvy042ywCijC3mHu8AvxMzopCqxWCCmh7Ed22W0fG/+FBLXwqe3Q1hT6PkIxN5sJOoiIiIiIpdAY7rFtdIPwco3jaWcivKMsrAmRoti7M2aSVoqhsxkY9K19e9DfoZRFlQHuj8M7YeBt7+58Umlo7qmbOg6ioiIq5VHXaOkW1zjxH5YMRU2fQL2QqOsdgdjbK2670pFlZdujPVe/W/IPmqU+YdBt4eg0z3gq38z5MKorikbuo4iIuJqmkhNKp8T++Dn12HzJ+CwGWUxvYxku0FfTY4mFZtvMPR81FjTe9PHsHIapCXA0onG8873GxP9+Vc3O1IRERERqSSUdEvZOLEPfn7NGBtbnGw3vBz6PKlZoaXysfpCp5FG1/ItXxi9NlJ3wc//MuYm6HSP0fU8IMzsSEVERESkglPSLZcmLQF+fhV++/h0st0oDvqMg+hO5sYmcqk8rcZ63q2HwPZvjRtLKVuMVu9170DHu42lyAIjzI5URERERCooJd1ycTKSjGR740enx2wr2RZ35eEBLa+DFtfCroWw/F9wZKOx7Nj696DDCGPG88BIsyMVERERkQpGSbeUTs4JWPGG0cpXPBt5/T7Q72l1Ixf3Z7FA06uhyVWwZyksfwUOrYe1bxvrz3e4C3o8AkFRZkcqIiIiIhWEkm65MAXZxljWlW+dXmc7uitc/izE9DQ3NpHyZrFA4zhodDnsWwbxrxjrfK+dBb9+AB1HGBOyqeVbREREpMpT0i1/zVZodCGPf+X0EkoRreDy56DxlZqNXKo2iwUaXgYN+sG++FPJ9xoj+d4wxxjz3eMRjfkWERERqcKUdMu5ORzGxFFLX4Dje4yy0Bi47FloeYPW2RY5k8UCDfsZy+LtWwbLJsOhdUbvkF9nQ8eRxpjvauFmRyoiIiIi5UxJt5wtYS0snmCMVQXwD4M+TxnjVb28TQ1NpEIr0fK9DJZNMv4/WjPTSL47jTRavqvVNDtSERERESknSrrltBP74Md/wrZvjNdWf2Mt4m6jwTfI1NBEKpUzk+89SyF+EhzeYMx2/uts6HyfsdRYQA2zIxURERERF1PSLZCbZiz/tfY/xvJfFg9odwf0m6CJoEQuxZkTru1eYiTfR34z1vle/x50ud+4qeVf3exIRURERMRFlHRXZbYi2DgHfnoZck8YZQ0vhytfhIiWpoYm4lYsFmhyJTS+AnYtgmUvQ/Lv8MvrsPYd6PYgdH0Q/ELMjlREREREypiS7qpq7zJYOB6ObTdehzWF/pOMVjkRcQ2LBZpeBU36w44FED8ZUrbC8imwZhZ0ewi6jgLfYLMjFREREZEyoqS7qjl5EBY9DTu+N177hULfp411hT2t5sYmUlVYLND8Gmg6AHZ8Z8x2fmy70f18zb+h+2joMgp8As2OVEREREQukZLuqqIwF1ZMM8aSFuWBxRM63QN9x2k8qYhZPDygxbXQbBBs+8pY5zt1F/z0Eqz+tzGRYef7wKea2ZGKiIiIyEVS0u3uHA7Y+QMsHAdpCUZZTC+4+l8Q0cLc2ETE4OEBrW6EFtfB1i9h+StwfA8snWjMeN59DHS+F7wDzI5URERERErJw+wAxIVO7IO5t8CntxsJd1AduHkODP9OCbdIReThCa1vhgfXwvX/geoNIOc4/Pg8TGsNK9+EgmyzoxQRERGRUlDS7Y4K84wxojO7wu7F4GGFnmNh9Dpoeb0xnlREKi5PL2hzKzy0Hq57G0LrQ04qLHkWpreBVW8p+RYRERGpJNS93N3s/QkWPGa0cgM06AsDXoOwxqaGJSIXwdML2t4OsTfD7/Pg51fh5AFY/IwxR0OPf0Cnkep2LiIiIlKBqaXbXWSmwBcj4f+uNxLuwCijK/mdXyvhFqnsPK3Q7g4Y/StcOxNCY063fE9rbSTg+VlmRykiIiIi56Cku7Kz2+HXD2BGJ9j6BVg8jKWGHlJXchG3c77k+8fnYVos/Pwa5GWYHaWIiIiInEHdyyuzYzvhu39AwmrjdVRbGDQNarUzMyoRcbXi5Lv1ENjyudHt/MQ++OlFY7x31wegy/3gF2p2pCIiIiJVnlq6K6OifGOitLd7GAm3NQD6T4Z7f1LCLVKVeFqNMd8PrYcb3oWwJpCXBvGT4Y1Y+HEiZKeaHaWIiIhIlaaW7somcT18OxqO7TBeN74SBr4OIXXNjUtEzOPpBa1vMdb63vY1/Pw6HP0DVkyFtbOgwwjoPhqCapkdqYiIiEiVo5buyqIgGxY+De9fYSTcATXhptlw+2dKuEXE4OFpJN6jVsCtc40hJ4U5sGamsdTYd/+AE/vNjlJERESkSlFLd2Ww/xejdfvkAeN161vhqsngX93UsESkgvLwgGYDoekA2LMUfnkdElbBhjmw8SMjMe/xCES2MjtSEREREbdnekv3zJkziYmJwdfXly5durBu3bq/PH7atGk0bdoUPz8/oqOjefTRR8nLyyunaMtZQTb88AR8eI2RcAfVgaFfwA3/UcItIn/PYoHGcXD3/2DE/6BRHDjsxuRrs3rAxzfDwdVmRykiIiLi1kxt6Z43bx5jx45l1qxZdOnShWnTptG/f3927txJeHj4WcfPnTuXcePGMXv2bLp3786uXbu46667sFgsTJ061YRv4EIHVsI3D55u3e4wAq54AXyDTA1LRCqpet2N7cgmWDkNtn0DuxcbW3QXo+W7yVVGK7mIiIiIlBmLw+FwmPXhXbp0oVOnTsyYMQMAu91OdHQ0Dz/8MOPGjTvr+NGjR7N9+3aWLl3qLHvsscdYu3YtK1asuKDPzMjIIDg4mPT0dIKCKmACW5ADS1+AtW8br4PqwLVvQcPLzI1LRNzL8b2w6k3YNBdsBUZZWBPoPsaYlM3Lx9z4KrkKX9dUErqOIiLiauVR15jWpFFQUMCGDRuIi4s7HYyHB3Fxcaxefe7ujt27d2fDhg3OLuj79u3jhx9+YMCAAef9nPz8fDIyMkpsFVbievhPr9MJd/vh8OBqJdwiUvZqNIRB0+GRLdDzUfAJhtRdxvwR02Lh59cg54TZUYqIiIhUeqZ1L09NTcVmsxEREVGiPCIigh07dpzznNtvv53U1FR69uyJw+GgqKiIUaNG8fTTT5/3cyZPnszEiRPLNPYyV1QAy1+BFW8Y4y0Do2DwDGMspoiIKwVGQtw/oedY2PghrP43ZB6Bn140JmBrdwd0fQCqNzA7UhEREZFKqVIN3ouPj2fSpEn8+9//ZuPGjXz55ZcsWLCAF1988bznjB8/nvT0dOeWmJhYjhFfgKPb4d3LjB+3DjvE3mK0bivhFpHy5BsE3R+Gf2yG6/8DEbHGcmPr3oE328OnQ425JswbkSQiIiJSKZnW0h0WFoanpycpKSklylNSUoiMjDznOc8++yx33nkn99xzDwCxsbFkZ2dz3333MWHCBDzOMQGQj48PPj4VcGyi3Q5rZ8GP/wRbPvhVh0HToMW1ZkcmIlWZlze0uRVaD4F98bDqLdi7FHZ8b2yRraHrg9DqBo37FhEREbkAprV0e3t706FDhxKTotntdpYuXUq3bt3OeU5OTs5ZibWnpycAJs4HV3oZR+C/18Oi8UbC3egKeHCNEm4RqTgsFmjYD+78Eh5ca6yg4OUHyb/D16PgjZbw08uQkWR2pCIiIiIVmqlLho0dO5bhw4fTsWNHOnfuzLRp08jOzmbEiBEADBs2jNq1azN58mQABg0axNSpU2nXrh1dunRhz549PPvsswwaNMiZfFd4276Bb8dAXprxA7b/S9BxpPEDV0SkIgpvZvTEufw52PABrHvPGPf9879gxVTjhmGne6FuV/1bJiIiIvInpibdQ4YM4dixYzz33HMkJyfTtm1bFi5c6JxcLSEhoUTL9jPPPIPFYuGZZ57h8OHD1KxZk0GDBvHyyy+b9RUuXH4WLBwHv/2f8TqqLdz4HoQ1NjUsEZEL5l8dej1mLCu243tY+x9IWA1b5xtbRCvoeLex5JhPoNnRioiIiFQIpq7TbQZT1vw8vBHm3wMn9gIW6PkI9H3aGDspIlKZHdkE69+DLV9AUa5R5h0IrW82uqRHtTY1PLNofemyoesoIiKuVh51jZJuV7LbYfVbsPQFsBdBUG1jVuD6vVz7uSIi5S33JGz+1EjAj+85XV6rPXQcAS1vAJ9q5sVXzpQslg1dRxERcTUl3S5QbhV41lH4apQx6y8YYx4HTQe/UNd9poiI2RwOOPAL/PoBbP8O7IVGuXc1aHk9tB8OdTq6/dhvJYtlQ9dRRERcrTzqGlPHdLutvT/Bl/dD9lFjsrSrXzF+aLr5j0wRESwWqN/b2LKOwea5sOFDY3jNb/9nbDWbQbs7IPYWCIwwO2IRERERl1JLd1myFUH8JPjldeN1eAu46QNj5l8RkarK4YCDq2DjR8YKDsVjvy2e0PgKaHs7NLnKrdb9Vgtt2dB1FBERV1NLd2WSftiYLC1hlfG6wwi4ajJY/cyNS0TEbBYLxPQwtqunGDOdb/4EDq2HXQuNzTfY6H7eeghEd4UzVq4QERERqcyUdJeF3Uvgy/sg94Qxa+/gN6HVDWZHJSJS8fiFQKeRxpa6GzbNNSZgyzwCG+YYW3BdiL0RYm+GiJYmBywiIiJyadS9/FLYimDZy7BiqvE6sjXcPAdqNLzkOEVEqgy7DQ6uhM3zjO7nBZmn99VsDrE3QasboXp982IsJXWLLhu6jiIi4mqavdwFyuyiZibDFyPh4Arjdad74MqXwepbNoGKiFRFhbmw839GF/Tdi8FWcHpfVFtoeR20uK7CJ+BKFsuGrqOIiLiaxnRXVPt/NhLu7KPGMjiD3zRaYURE5NJY/YzhOa1ugNw02PE9bPnC+Hc3aZOx/fhPiGoDzQdB88FQs6m5MYuIiIj8Bc1UUxp2uzEz+UfXGgl3eAu4L14Jt4iIK/iFGEuLDfsaHt8F10yDBn3B4gFJm+Gnl2BmZ3irI/w4EQ5tMP6dFpeZOXMmMTEx+Pr60qVLF9atW/eXx0+bNo2mTZvi5+dHdHQ0jz76KHl5eeUUrYiISMWglu4LlXsSvnoAdv3PeN3mdhj4Onj7mxuXiEhVEBAGHUcYW3Yq7PwBtn8H++Lh+G5jbo0VUyGwFjQbAM0GQr2e4OVtduRuY968eYwdO5ZZs2bRpUsXpk2bRv/+/dm5cyfh4eFnHT937lzGjRvH7Nmz6d69O7t27eKuu+7CYrEwdepUE76BiIiIOTSm+0Ik/Q6f3QknD4CnDwx4FdoPM5bBERER8+RlGGO/d3xvrCRRkHV6n3cgNOwHTa+GxlcaiXs5ccexyF26dKFTp07MmDEDALvdTnR0NA8//DDjxo076/jRo0ezfft2li5d6ix77LHHWLt2LStWrLigz3TH6ygiIhWLxnRXBJvmwvePQlEehNSFWz6CWu3MjkpERAB8g4zZzWNvgqJ82LccdnwHOxcaw4C2f2tsWKB2B2jSHxpfAZFttBZ4KRQUFLBhwwbGjx/vLPPw8CAuLo7Vq1ef85zu3bvz3//+l3Xr1tG5c2f27dvHDz/8wJ133nnez8nPzyc/P9/5OiMjo+y+hIiIiEmUdJ9PUQEsGg/r3zNeN74Srv8P+Fc3Ny4RETk3Lx9ocqWx2e2Q9JuRfO/6HyRvgcO/GtuylyEgHBrFQeM4aNBP/7b/jdTUVGw2GxERESXKIyIi2LFjxznPuf3220lNTaVnz544HA6KiooYNWoUTz/99Hk/Z/LkyUycOLFMYxcRETGbbvOfS0YSzBl4KuG2QN+n4bZ5+lEmIlJZeHgYLduXTYBRK2Dsdhj0JjS7BqwBRiv45rnwxd3wakN47wpYNhkS1oCt0Ozo3UJ8fDyTJk3i3//+Nxs3buTLL79kwYIFvPjii+c9Z/z48aSnpzu3xMTEcoxYRETENdTS/WcJa+CzYZCVAj7BcOO7RndEERGpvIJqQYfhxlaUDwmrYc+PsPtHOLYdDq0ztuWvGGPB6/cyZkpv0BfCmlT5OTzCwsLw9PQkJSWlRHlKSgqRkZHnPOfZZ5/lzjvv5J577gEgNjaW7Oxs7rvvPiZMmIDHObr3+/j44OPjU/ZfQERExERKuos5HPDrbPjfk2AvMpYDG/JfqNHQ7MhERKQsefmcTqivfAnSEmHvUmMm9H3xxmoVO38wNoDAKOPY+r0hpheERJsWulm8vb3p0KEDS5cu5brrrgOMidSWLl3K6NGjz3lOTk7OWYm1p6cnAFVsDlcREanilHSD0erxw+Ow8SPjdcvr4dqZ4B1gblwiIuJ6IdHQ4S5js9sheTPsXWYk4AlrIDMJNn9ibACh9Y2W8JjeENMTgqJMDL78jB07luHDh9OxY0c6d+7MtGnTyM7OZsSIEQAMGzaM2rVrM3nyZAAGDRrE1KlTadeuHV26dGHPnj08++yzDBo0yJl8i4iIVAVKujOSjOXADq0HLBD3PPR4pMp3JRQRqZI8PIwVKmq1g15joTAXEtcaCfj+X+DIb3Byv7EV36it3tBIvmN6Qb1uEFzH1K/gKkOGDOHYsWM899xzJCcn07ZtWxYuXOicXC0hIaFEy/YzzzyDxWLhmWee4fDhw9SsWZNBgwbx8ssvm/UVRERETFG11+nO2AWfDoWsZPANhptmG7PZioiInEtehjEefP/PcGAFJP8ODnvJY0LqklGzE8F3fKD1pS+R1ukWERFX0zrdrvT757BsPNjyoWYzuHWuxm+LiMhf8w0yJtcsnmAzN83ogn7gFzi4EpJ+h7QESDloapgiIiJScVTdpHvBo+BjgaYD4Yb/gE+g2RGJiEhl4xcCTa8yNoD8TEhcB9uXAepGLSIiIlV9ne7eTxozlCvhFhGRsuATCI0uhz5Pmh2JiIiIVBBVt6X7urehy1CzoxARERERERE3VnVbupsPMjsCERERERERcXNVN+kWERERERERcTEl3SIiIiIiIiIuoqRbRERERERExEWUdIuIiIiIiIi4iJJuERERERERERdR0i0iIiIiIiLiIkq6RURERERERFxESbeIiIiIiIiIiyjpFhEREREREXERJd0iIiIiIiIiLqKkW0RERERERMRFlHSLiIiIiIiIuIiSbhEREREREREXUdItIiIiIiIi4iJKukVERERERERcREm3iIiIiIiIiIso6RYRERERERFxESXdIiIiIiIiIi6ipFtERERERETERZR0i4iIiIiIiLiIkm4RERERERERF1HSLSIiIiIiIuIiXmYHICIiIq6Rn5/P2rVrOXjwIDk5OdSsWZN27dpRv359s0MTERGpMpR0i4iIuJmVK1cyffp0vvvuOwoLCwkODsbPz48TJ06Qn59PgwYNuO+++xg1ahSBgYFmhysiIuLW1L1cRETEjQwePJghQ4YQExPD4sWLyczM5Pjx4xw6dIicnBx2797NM888w9KlS2nSpAlLliwxO2QRERG3ppZuERERNzJw4EDmz5+P1Wo95/4GDRrQoEEDhg8fzrZt20hKSirnCEVERKoWJd0iIiJu5P7777/gY1u0aEGLFi1cGI2IiIgo6RYREakCtm7dyvLly7HZbPTo0YMOHTqYHZKIiEiVoDHdIiIibm7mzJlcfvnlLF++nGXLlnHZZZfx8ssvmx2WiIhIlaCWbhERETeTmJhIdHS08/WMGTP4448/CAsLA2D16tUMHjyYCRMmmBWiiIhIlaGWbhERETcTFxfH9OnTcTgcANSoUYOFCxeSn59PZmYmP/74IzVr1jQ5ShERkapBSbeIiIibWb9+PTt37qRLly5s2rSJd955hzfeeAM/Pz9CQkKYN28eH374odlhioiIVAnqXi4iIuJmgoKC+Pe//82qVau46667uOyyy/jll1+w2WzYbDZCQkLMDlFERKTKUEu3iIiIm+revTu//voroaGhtGvXjp9//lkJt4iISDlTS7eIiIibKSoq4p133mH79u20adOGp59+miFDhjBq1CjmzJnDjBkziIiIMDtMERGRKkEt3SIiIm5m5MiRzJgxg4CAAD744AMeffRRmjRpwk8//cRVV11Ft27dePvtt80OU0REpEpQ0i0iIuJmvvnmG+bPn88rr7zCkiVLWLBggXPfyJEjWbNmDb/88ouJEYqIiFQdSrpFRETcTEREBIsXL6agoICffvqJGjVqlNgfHh7O3LlzTYpORESkatGYbhERETczY8YMhg4dytixY4mKiuKzzz4zOyQREZEqS0m3iIiIm7niiitISUkhNTWVmjVrmh2OiIhIlabu5SIiIm7IYrEo4RYREakAlHSLiIi4kauuuoo1a9b87XGZmZlMmTKFmTNnlkNUIiIiVZe6l4uIiLiRm2++mRtvvJHg4GAGDRpEx44dqVWrFr6+vpw8eZJt27axYsUKfvjhBwYOHMirr75qdsgiIiJuTUm3iIiIGxk5ciR33HEHn3/+OfPmzeOdd94hPT0dMLqct2jRgv79+7N+/XqaN29ucrQiIiLuT0m3iIiIm/Hx8eGOO+7gjjvuACA9PZ3c3Fxq1KiB1Wo1OToREZGqRUm3iIiImwsODiY4ONjsMERERKokTaQmIiIiIiIi4iJKukVERERERERcREm3iIiIiIiIiIso6RYRERERERFxESXdIiIiIiIiIi5ietI9c+ZMYmJi8PX1pUuXLqxbt+4vj09LS+Ohhx4iKioKHx8fmjRpwg8//FBO0YqIiFR+mzdvxtPT0+wwREREqgRTlwybN28eY8eOZdasWXTp0oVp06bRv39/du7cSXh4+FnHFxQUcMUVVxAeHs4XX3xB7dq1OXjwICEhIeUfvIiISCXmcDjMDkFERKRKMDXpnjp1Kvfeey8jRowAYNasWSxYsIDZs2czbty4s46fPXs2J06cYNWqVVitVgBiYmLKM2QREZEK74YbbvjL/enp6VgslnKKRkREpGozrXt5QUEBGzZsIC4u7nQwHh7ExcWxevXqc57z7bff0q1bNx566CEiIiJo1aoVkyZNwmazlVfYIiIiFd53331HXl4ewcHB59yqVatmdogiIiJVhmkt3ampqdhsNiIiIkqUR0REsGPHjnOes2/fPn766SeGDh3KDz/8wJ49e3jwwQcpLCzk+eefP+c5+fn55OfnO19nZGSU3ZcQERGpgJo3b86NN97IyJEjz7l/06ZNfP/99+UclYiISNVk+kRqpWG32wkPD+edd96hQ4cODBkyhAkTJjBr1qzznjN58uQSd/ejo6PLMWIREZHy16FDBzZu3Hje/T4+PtStW7ccIxIREam6TGvpDgsLw9PTk5SUlBLlKSkpREZGnvOcqKgorFZriRlXmzdvTnJyMgUFBXh7e591zvjx4xk7dqzzdUZGhhJvERFxa7NmzfrLoVfNmzdn//795RiRiIhI1WVaS7e3tzcdOnRg6dKlzjK73c7SpUvp1q3bOc/p0aMHe/bswW63O8t27dpFVFTUORNuMO7mBwUFldhERETcmY+PD/7+/maHISIiIpjcvXzs2LG8++67fPjhh2zfvp0HHniA7Oxs52zmw4YNY/z48c7jH3jgAU6cOME//vEPdu3axYIFC5g0aRIPPfSQWV9BRESkwvL09OTo0aNnlR8/flzrdIuIiJQTU5cMGzJkCMeOHeO5554jOTmZtm3bsnDhQufkagkJCXh4nL4vEB0dzaJFi3j00Udp3bo1tWvX5h//+AdPPfWUWV9BRESkwjrfWtz5+fnn7SEmIiIiZcvUpBtg9OjRjB49+pz74uPjzyrr1q0ba9ascXFUIiIildebb74JgMVi4b333iuxRJjNZuPnn3+mWbNmpX7fmTNn8uqrr5KcnEybNm1466236Ny583mPT0tLY8KECXz55ZecOHGCevXqMW3aNAYMGFD6LyUiIlJJmZ50i4iISNl64403AKOle9asWSW6knt7exMTE/OXK3+cy7x58xg7diyzZs2iS5cuTJs2jf79+7Nz507Cw8PPOr6goIArrriC8PBwvvjiC2rXrs3BgwcJCQm5pO8mIiJS2VxU0p2Wlsa6des4evRoiUnNwBiHLSIiIuYpnpm8X79+fPXVV2WS6E6dOpV7773XOe/KrFmzWLBgAbNnz2bcuHFnHT979mxOnDjBqlWrsFqtAMTExFxyHCIiIpVNqZPu7777jqFDh5KVlUVQUBAWi8W5z2KxKOkWERGpAAoLC0lISCApKemSk+6CggI2bNhQYnJTDw8P4uLiWL169TnP+fbbb+nWrRsPPfQQ33zzDTVr1uT222/nqaee0iRuIiJSpZQ66X7ssce4++67mTRpkpYjERERqaCsVit5eXll8l6pqanYbDbnRKfFIiIi2LFjxznP2bdvHz/99BNDhw7lhx9+YM+ePTz44IMUFhby/PPPn/Oc/Px88vPzna8zMjLKJH4REREzlXrJsMOHDzNmzBgl3CIiIhXcQw89xJQpUygqKir3z7bb7YSHh/POO+/QoUMHhgwZwoQJE/5yLPnkyZMJDg52btHR0eUYsYiIiGuUuqW7f//+/PrrrzRo0MAV8YiIiEgZWb9+PUuXLmXx4sXExsYSEBBQYv+XX355Qe8TFhaGp6cnKSkpJcpTUlKIjIw85zlRUVFYrdYSXcmbN29OcnIyBQUF51yybPz48YwdO9b5OiMjQ4m3iIhUeqVOugcOHMgTTzzBtm3biI2NdU6OUmzw4MFlFpyIiIhcvJCQEG688cZLfh9vb286dOjA0qVLue666wCjJXvp0qXnXfazR48ezJ07F7vdjoeH0bFu165dREVFnXeNcB8fH3x8fC45XhERkYrE4nA4HKU5objiPOebWSzYbLZLDsqVMjIyCA4OJj09naCgILPDERERN+SOdc28efMYPnw4//nPf+jcuTPTpk3js88+Y8eOHURERDBs2DBq167N5MmTAUhMTKRly5YMHz6chx9+mN27d3P33XczZswYJkyYcEGf6Y7XUUREKpbyqGtK3dL95yXCREREpGI7duwYO3fuBKBp06bUrFmz1O8xZMgQjh07xnPPPUdycjJt27Zl4cKFzsnVEhISStyYj46OZtGiRTz66KO0bt2a2rVr849//IOnnnqqbL6UiIhIJVHqlu7KTnfNRUTE1SpKXZOdnc3DDz/MRx995Lxp7unpybBhw3jrrbcq/KSoFeU6ioiI+yqPuqbUs5cDLF++nEGDBtGoUSMaNWrE4MGD+eWXX8o6NhEREbkEY8eOZfny5Xz33XekpaWRlpbGN998w/Lly3nsscfMDk9ERKRKKHXS/d///pe4uDj8/f0ZM2YMY8aMwc/Pj8svv5y5c+e6IkYRERG5CPPnz+f999/n6quvJigoiKCgIAYMGMC7777LF198YXZ4IiIiVUKpx3S//PLL/Otf/+LRRx91lo0ZM4apU6fy4osvcvvtt5dpgCIiInJxcnJynGOuzxQeHk5OTo4JEYmIiFQ9pW7p3rdvH4MGDTqrfPDgwezfv79MghIREZFL161bN55//nny8vKcZbm5uUycOJFu3bqZGJmIiEjVUeqW7ujoaJYuXUqjRo1KlP/4449ER0eXWWAiIiJyaaZNm0b//v2pU6cObdq0AWDz5s34+vqyaNEik6MTERGpGkqddD/22GOMGTOGTZs20b17dwBWrlzJnDlzmD59epkHKCIiIhcnNjaWPXv2MHfuXLZv3w7AbbfdxtChQ/Hz8zM5OhERkaqh1En3Aw88QGRkJK+//jqfffYZAM2bN2fevHlce+21ZR6giIiIlN6aNWv47rvvKCgo4LLLLuOee+4xOyQREZEqSet0i4iIlDGz65ovvviCIUOG4Ofnh9VqJSMjgylTpvD444+XeyyXwuzrKCIi7q/CrtMtIiIiFdfkyZO59957SU9P5+TJk7z00ktMmjTJ7LBERESqpAtKuqtXr05qaioAoaGhVK9e/bybiIiImGvnzp08/vjjeHp6AsZ8LJmZmRw9etTkyERERKqeCxrT/cYbbxAYGOh8brFYXBqUiLg/m81GYWGh2WGIXBSr1epMaCuinJycEl3kvL298fX1JSsri/DwcBMjExGRS6XfUKVTEersC0q6hw8f7nx+1113uSoWEakCHA4HycnJpKWlmR2KyCUJCQkhMjKywt6Ifu+996hWrZrzdVFREXPmzCEsLMxZNmbMGDNCExGRi6DfUBfP7Dq71BOpbdy4EavVSmxsLADffPMNH3zwAS1atOCf//wn3t7eLgm0rGhSFhFzJSUlkZaWRnh4OP7+/hU2YRE5H4fDQU5ODkePHiUkJISoqKizjjG7romJifnb/7csFgv79u0rp4gujtnXUUSkItFvqNKrKHV2qZcMu//++xk3bhyxsbHs27ePIUOGcMMNN/D555+Tk5PDtGnTXBCmiLgDm83mrCxq1KhhdjgiF614jeujR48SHh5uere1Pztw4IDZIYiISBnSb6iLVxHq7FLPXr5r1y7atm0LwOeff06fPn2YO3cuc+bMYf78+WUdn4i4keLxR/7+/iZHInLpiv+ONa5ORERcTb+hLo3ZdXapk26Hw4Hdbgfgxx9/ZMCAAQBER0c7ZzgXEfkr6g4l7kB/xyIiUt5U91wcs69bqZPujh078tJLL/F///d/LF++nIEDBwKwf/9+IiIiyjxAERERERERkcqq1En3tGnT2LhxI6NHj2bChAk0atQIgC+++ILu3buXeYAiIpVVfHw8FovlL2cZnTNnDiEhIeUWU2Wi6yciIiLuoNRJd+vWrdmyZQvp6ek8//zzzvJXX32VDz/8sEyDExGpCGbNmkVgYCBFRUXOsqysLKxWK3379i1xbHGiuHfvXrp3705SUhLBwcHlHLF70PUTERGp3CwWy19u//znPzlw4MB5969Zs8b5XvHx8bRv3x4fHx8aNWrEnDlzzPtipVTqpDsxMZFDhw45X69bt45HHnmEjz76CKvVWqbBiYhUBP369SMrK4tff/3VWfbLL78QGRnJ2rVrycvLc5YvW7aMunXr0rBhQ7y9vSv0Os4Vna7fpfP09OTo0aNnlR8/frzCzbguIiLuJykpyblNmzaNoKCgEmWPP/6489gff/yxxL6kpCQ6dOgAGEOZBw4cSL9+/di0aROPPPII99xzD4sWLTLrq5VKqZPu22+/nWXLlgGQnJzMFVdcwbp165gwYQIvvPBCmQcoImK2pk2bEhUVRXx8vLMsPj6ea6+9lvr16591F7Zfv37O53/uHj1nzhzq1q2Lv78/119/PcePHz/r87755hvat2+Pr68vDRo0YOLEiSVa2c+0detWPDw8OHbsGAAnTpzAw8ODW2+91XnMSy+9RM+ePQFjyZGRI0dSv359/Pz8aNq0KdOnT3ceu3jxYnx9fc/q0v2Pf/yDyy67zPl6xYoV9OrVCz8/P6KjoxkzZgzZ2dnO/UlJSQwcOBA/Pz/q16/P3LlziYmJcS4rWXxXe9OmTc5z0tLSsFgszutcHtfP3TkcjnOW5+fn4+3tXc7RiIhIVRMZGencgoODsVgsJcqqVavmPLZGjRol9kVGRjobdWfNmkX9+vV5/fXXad68OaNHj+amm27ijTfeMOurlUqp1+neunUrnTt3BuCzzz6jVatWrFy5ksWLFzNq1Ciee+65Mg9SRNyXw+Egt9Bmymf7WT0vuBW1X79+LFu2jHHjxgFGi/aTTz6JzWZj2bJl9O3bl9zcXNauXcvdd999zvdYu3YtI0eOZPLkyVx33XUsXLiwxDAdMFrQhw0bxptvvkmvXr3Yu3cv9913H8BZxwK0bNmSGjVqsHz5cm666SZ++eUX5+tiy5cvd3aDt9vt1KlTh88//5waNWqwatUq7rvvPqKiorjlllu4/PLLCQkJYf78+YwcORIwEvV58+bx8ssvA7B3716uuuoqXnrpJWbPns2xY8cYPXo0o0eP5oMPPgBg2LBhpKamEh8fj9VqZezYsedscS0NV1w/d/Xmm28CRre+9957r8SPGpvNxs8//0yzZs3MCk9ERMpAZfkNVRZWr15NXFxcibL+/fvzyCOPlFsMl6LUSXdhYSE+Pj6A0QVg8ODBADRr1oykpKSyjU5E3F5uoY0Wz5nTNWjbC/3x976wfwb79evHI488QlFREbm5ufz222/06dOHwsJCZs2aBRgVQn5+vrOl+8+mT5/OVVddxZNPPglAkyZNWLVqFQsXLnQeM3HiRMaNG8fw4cMBaNCgAS+++CJPPvnkOZNGi8VC7969iY+P56abbiI+Pp4RI0bw3nvvsWPHDho2bMiqVaucn2m1Wpk4caLz/Pr167N69Wo+++wzbrnlFjw9Pbn11luZO3euM+leunQpaWlp3HjjjQBMnjyZoUOHOiu6xo0b8+abb9KnTx/efvttDhw4wI8//sj69evp2LEjAO+99x6NGze+oGt9Pq64fu6q+M6/w+Fg1qxZJbqSe3t7ExMT4/y7FRGRyqmy/Ia6UN27d8fDo2RH7KysLMDoYf3nlbIiIiLIyMggNzcXPz+/Mo2lrJX6SrVs2ZJZs2YxcOBAlixZwosvvgjAkSNHqFGjRpkHKCJSEfTt25fs7GzWr1/PyZMnadKkCTVr1qRPnz6MGDGCvLw84uPjadCgAXXr1j3ne2zfvp3rr7++RFm3bt1KJI2bN29m5cqVzlZlMFom8/LyyMnJwd/f/6z37dOnD++88w5gtGpPmjSJXbt2ER8fz4kTJygsLKRHjx7O42fOnMns2bNJSEggNzeXgoIC2rZt69w/dOhQunbtypEjR6hVqxYff/wxAwcOdM4SvnnzZn7//Xc+/vhj5zkOhwO73c7+/fvZtWsXXl5etG/f3rm/UaNGhIaGXsCVPj9XXT93tH//fsC4WfTll19e8rUXERFxtXnz5tG8eXOzw3CJUifdU6ZM4frrr+fVV19l+PDhtGnTBoBvv/3W2e1cRORC+Vk92fZCf9M++0I1atSIOnXqsGzZMk6ePEmfPn0AqFWrFtHR0axatYply5aVGPd8MbKyspg4cSI33HDDWft8fX3PeU7fvn155JFH2L17N9u2baNnz57s2LGD+Ph4Tp48SceOHZ3J5qeffsrjjz/O66+/Trdu3QgMDOTVV19l7dq1zvfr1KkTDRs25NNPP+WBBx7gq6++KjFDaFZWFvfffz9jxow5K5a6deuya9euv/2exXeyzxxzXFhY+Lfn/Z2LuX7urHgOFhERcT+V5TfUhYqOjnYuR/1nkZGRpKSklChLSUkhKCiowrdyw0Uk3X379iU1NZWMjIwSd87vu+++KtOCICJlx2KxlHn3JFfp16+fM5F94oknnOW9e/fmf//7H+vWreOBBx447/nNmzcvkdwCJSZhA2jfvj07d+48b6VzLrGxsYSGhvLSSy/Rtm1bqlWrRt++fZkyZQonT54ssazZypUr6d69Ow8++KCzbO/evWe959ChQ/n444+pU6cOHh4eDBw4sESM27ZtO2+MTZs2paioiN9++8056+iePXs4efKk85iaNWsCxoRr7dq1Aygxqdq5uOr6ubtDhw7x7bffkpCQQEFBQYl9U6dONSkqERG5VJXpN9Sl6tatGz/88EOJsiVLltCtWzeTIiqdi/qv5OnpeVZXtZiYmLKIR0SkwurXrx8PPfQQhYWFzpZuMLp3jx49moKCgvOO5wYYM2YMPXr04LXXXuPaa69l0aJFJbpGAzz33HNcc8011K1bl5tuugkPDw82b97M1q1beemll875vsXjuj/++GPn0hutW7cmPz+fpUuXMnbsWOexjRs35qOPPmLRokXUr1+f//u//2P9+vXUr1+/xHsOHTqUf/7zn7z88svcdNNNzrk8AJ566im6du3K6NGjueeeewgICGDbtm0sWbKEGTNm0KxZM+Li4rjvvvt4++23sVqtPPbYY/j5+TknXfHz86Nr16688sor1K9fn6NHj/LMM8/85fV31fVzZ0uXLmXw4ME0aNCAHTt20KpVKw4cOIDD4SjR/V9ERMRsx48fJzk5uURZSEgIvr6+jBo1ihkzZvDkk09y991389NPP/HZZ5+xYMECk6ItnQtaMqx9+/bOFop27drRvn37824iIu6qX79+5Obm0qhRoxKTefTp04fMzEzn0mLn07VrV959912mT59OmzZtWLx48VmJZv/+/fn+++9ZvHgxnTp1omvXrrzxxhvUq1fvL2Pr06cPNpvN2art4eFB7969sVgsJcZz33///dxwww0MGTKELl26cPz48RKt3sUaNWpE586d+f333xk6dGiJfa1bt2b58uXs2rWLXr160a5dO5577jlq1arlPOajjz4iIiKC3r17c/3113PvvfcSGBhYoov37NmzKSoqokOHDjzyyCN/mxS78vq5q/Hjx/P444+zZcsWfH19mT9/PomJifTp04ebb77Z7PBERESc4uLiiIqKKrF9/fXXgDHx64IFC1iyZAlt2rTh9ddf57333qN/f3O615eWxXG+RTzPMHHiRJ544gn8/f1LzHp7LhV9dtiMjAyCg4NJT08nKCjI7HBEqpS8vDz2799P/fr1q+T42qrs0KFDREdH8+OPP3L55ZebHU6Z+Ku/54pS1wQGBrJp0yYaNmxIaGgoK1asoGXLlmzevJlrr72WAwcOmBbbhago11FExGz6DXVpzK6zL6h7+ZmJdEVPqkVExHw//fQTWVlZxMbGkpSUxJNPPklMTAy9e/c2O7QqJSAgwDmOOyoqir1799KyZUsAUlNTzQxNRESkyrikkfdZWVnY7fYSZboTLSIihYWFPP300+zbt4/AwEC6d+/Oxx9/jNVqNTu0KqVr166sWLGC5s2bM2DAAB577DG2bNnCl19+SdeuXc0OT0REpEooddK9f/9+Ro8eTXx8PHl5ec5yh8OBxWLBZrOVaYAiIlL59O/fv9KMs3JnU6dOJSsrCzCGimVlZTFv3jwaN26smctFRETKSamT7jvuuAOHw8Hs2bOJiIhwzkQrIiIiFUuDBg2czwMCApg1a5aJ0YiIiFRNpU66N2/ezIYNG2jatKkr4hERERERERFxGxe0ZNiZOnXqRGJioitiEREREREREXErpW7pfu+99xg1ahSHDx+mVatWZ02K07p16zILTkRERERERKQyK3XSfezYMfbu3cuIESOcZRaLRROpiYiIiIiIiPxJqZPuu+++m3bt2vHJJ59oIjUREZFKoKCggP3799OwYUO8vC5ptVAREREppVKP6T548CBTpkyhS5cuxMTEUK9evRKbiIiI2Q4cOIDFYmHTpk3nPSY+Ph6LxUJaWlq5xVXecnJyGDlyJP7+/rRs2ZKEhAQAHn74YV555RWToxMREakaSp10X3bZZWzevNkVsYiIVFh33XUXFovlrETl66+/Vo+fCig6OpqkpCRatWpldiimGj9+PJs3byY+Ph5fX19neVxcHPPmzTMxMhERqQosFstfbv/85z+dN8o9PT05fPhwifOTkpLw8vLCYrFw4MABZ3lCQgIDBw7E39+f8PBwnnjiCYqKisr52124UvcxGzRoEI8++ihbtmwhNjb2rInUBg8eXGbBiYhUJL6+vkyZMoX777+f0NDQMnvfgoICvL29S5Q5HA5sNpu6Al8kT09PIiMjzQ7DdF9//TXz5s2ja9euJW4OtWzZkr1795oYmYiIVAVJSUnO5/PmzeO5555j586dzrJq1aqRmpoKQO3atfnoo48YP368c/+HH35I7dq1nT21AGw2GwMHDiQyMpJVq1aRlJTEsGHDsFqtTJo0qRy+VemVuqV71KhRHDp0iBdeeIGbb76Z6667zrldf/31rohRRKRCiIuLIzIyksmTJ5/3mOPHj3PbbbdRu3Zt/P39iY2N5ZNPPilxTN++fRk9ejSPPPIIYWFh9O/f39nV+X//+x8dOnTAx8eHFStWkJ+fz5gxYwgPD8fX15eePXuyfv1653t17NiR1157zfn6uuuuw2q1kpWVBcChQ4ewWCzs2bPnrFjT09Px9PTk119/BcBut1O9enW6du3qPOa///0v0dHRztdPPfUUTZo0wd/fnwYNGvDss89SWFgIwK5du7BYLOzYsaPE57zxxhs0bNjQ+Xrr1q1cffXVVKtWjYiICO68805nhQuQmZnJ0KFDCQgIICoqijfeeIO+ffvyyCOPOI+xWCx8/fXXJT4nJCSEOXPmAOfuXv7DDz/QpEkT/Pz86NevX4k75sVWrFhBr1698PPzIzo6mjFjxpCdnX3WcZXFsWPHCA8PP6s8OztbPTRERMTlIiMjnVtwcDAWi6VEWbVq1ZzHDh8+nA8++KDE+R988AHDhw8vUbZ48WK2bdvGf//7X9q2bcvVV1/Niy++yMyZMykoKCiX71VapU667Xb7eTfNXC4ipeZwQEG2OZvDUapQPT09mTRpEm+99RaHDh065zF5eXl06NCBBQsWsHXrVu677z7uvPNO1q1bV+K4Dz/8EG9vb1auXMmsWbOc5ePGjeOVV15h+/bttG7dmieffJL58+fz4YcfsnHjRho1akT//v05ceIEAH369CE+Pv7UpXTwyy+/EBISwooVKwBYvnw5tWvXplGjRmfFGhwcTNu2bZ3nb9myBYvFwm+//eZM2pcvX06fPn2c5wQGBjJnzhy2bdvG9OnTeffdd3njjTcAaNKkCR07duTjjz8u8Tkff/wxt99+OwBpaWlcdtlltGvXjl9//ZWFCxeSkpLCLbfc4jx+7NixrFy5km+//ZYlS5bwyy+/sHHjxr/+j/M3EhMTueGGGxg0aBCbNm3innvuYdy4cSWO2bt3L1dddRU33ngjv//+O/PmzWPFihWMHj36kj7bTB07dmTBggXO18WJ9nvvvUe3bt3MCktERMpCJfoNdSEGDx7MyZMnnb9hVqxYwcmTJxk0aFCJ41avXk1sbCwRERHOsv79+5ORkcEff/xR5nGVhTLpt5iWlkZISEhZvJWIVDWFOTCpljmf/fQR8A4o1SnXX389bdu25fnnn+f9998/a3/t2rV5/PHHna8ffvhhFi1axGeffUbnzp2d5Y0bN+Zf//qX83Vx96sXXniBK664AjBaI99++23mzJnD1VdfDcC7777LkiVLeP/993niiSfo27cv77//Pjabja1bt+Lt7c2QIUOIj4/nqquuIj4+vkTS/Gd9+/YlPj6exx9/nPj4eK644gp27NjBihUrnOc/+eSTzuOfeeYZ5/OYmBgef/xxPv30U+cxQ4cOZcaMGbz44ouA0fq9YcMG/vvf/wIwY8YM2rVrV6L71+zZs4mOjmbXrl1ERUXx4YcfMnfuXC6//HLAuMtdq9al/Y28/fbbNGzYkNdffx2Apk2bsmXLFqZMmeI8ZvLkyQwdOtTZot64cWPefPNN+vTpw9tvv11iTHRlMWnSJK6++mq2bdtGUVER06dPZ9u2baxatYrly5ebHZ6IiFyKSvYb6u9YrVbuuOMOZs+eTc+ePZk9ezZ33HHHWcOZk5OTSyTcgPN1cnJymcZUVkrd0j1lypQSk6/cfPPNVK9endq1a2uCNRGpEqZMmcKHH37I9u3bz9pns9l48cUXiY2NpXr16lSrVo1FixaVGIsE0KFDh3O+d8eOHZ3P9+7dS2FhIT169HCWWa1WOnfu7PzsXr16kZmZyW+//eZslS5OpMFoqe7bt+95v0ufPn1YsWIFNpvNeWzx+UeOHGHPnj0lzp83bx49evRwdgl75plnSny3W2+9lQMHDrBmzRrAaOVu3749zZo1A2Dz5s0sW7aMatWqObfifXv37mXfvn0UFhaWuEERHBxM06ZNz/sdLsT27dvp0qVLibI/t/Ru3ryZOXPmlIitf//+2O129u/ff0mfb5aePXuyefNmioqKiI2NZfHixYSHh7N69erz/g2KiIiY5e677+bzzz8nOTmZzz//nLvvvtvskMpEqVu6Z82a5ew6uGTJEn788UcWLlzIZ599xhNPPMHixYvLPEgRcWNWf+NuqVmffRF69+5N//79GT9+PHfddVeJfa+++irTp09n2rRpxMbGEhAQwCOPPHLWGKOAgHPfHT5f+fmEhITQpk0b4uPjWb16NVdccQW9e/dmyJAh7Nq1i927d/9lS3fv3r3JzMxk48aN/Pzzz0yaNInIyEheeeUV2rRpQ61atWjcuDFgdOcaOnQoEydOpH///gQHB/Ppp586W4/BGLt12WWXMXfuXLp27crcuXN54IEHnPuzsrIYNGhQiRbmYlFRUecce34uFosFx5+6thWPLb9YWVlZ3H///YwZM+asfXXr1r2k9zZDYWEh999/P88++yzvvvuu2eGIiEhZq4S/of5ObGwszZo147bbbqN58+a0atXqrOU/IyMjzxq2l5KS4txXEZU66U5OTnZOqvP9999zyy23cOWVVxITE3NWK4KIyN+yWMq8e1J5eOWVV2jbtu1ZLbArV67k2muv5Y477gCMeTB27dpFixYtSv0ZDRs2dI77rlevHmAkUuvXry8xqVifPn1YtmwZ69at4+WXX6Z69eo0b96cl19+maioKJo0aXLezwgJCaF169bMmDEDq9VKs2bNCA8PZ8iQIXz//fclEvZVq1ZRr149JkyY4Cw7ePDgWe85dOhQnnzySW677Tb27dvHrbfe6tzXvn175s+fT0xMzDlnZm/QoAFWq5X169c7E9309HR27dpF7969ncfVrFmzxIyou3fvJicn57zfs3nz5nz77bclyopb48+Mbdu2becc/14ZWa1W5s+fz7PPPmt2KCIi4gqV9DfU37n77rt58MEHefvtt8+5v1u3brz88sscPXrUOVnokiVLCAoKuqjfW+Wh1N3LQ0NDSUxMBGDhwoXExcUBp5e3ERGpCmJjYxk6dChvvvlmifLGjRuzZMkSVq1axfbt27n//vudd19LKyAggAceeIAnnniChQsXsm3bNu69915ycnIYOXKk87i+ffuyaNEivLy8nF21+/bty8cff/yXrdxnnn/mscVJ+7x580qc37hxYxISEvj000/Zu3cvb775Jl999dVZ73fDDTeQmZnJAw88QL9+/UqMx37ooYc4ceIEt912G+vXr2fv3r0sWrSIESNGYLPZCAwMZPjw4TzxxBMsW7aMP/74g5EjR+Lh4VFitu3LLruMGTNm8Ntvv/Hrr78yatSos8Z8nWnUqFHs3r2bJ554gp07dzJ37lznTOfFnnrqKVatWsXo0aPZtGkTu3fv5ptvvqnUE6ldd911Z83yLiIiUpHde++9HDt2jHvuueec+6+88kpatGjBnXfeyebNm1m0aBHPPPMMDz30ED4+PuUc7YUpddJ9ww03cPvtt3PFFVdw/Phx5+Q+v/32m9u0DoiIXIgXXngBu91eouyZZ56hffv29O/fn759+xIZGcl111130Z/xyiuvcOONN3LnnXfSvn179uzZw6JFi0qsE96rVy/sdnuJBLlv377YbLa/HM9drE+fPmcde67zBw8ezKOPPsro0aNp27Ytq1atOmcramBgIIMGDWLz5s0MHTq0xL5atWqxcuVKbDYbV155JbGxsTzyyCOEhITg4WFUSVOnTqVbt25cc801xMXF0aNHD5o3b15iIrPXX3+d6OhoevXqxe23387jjz+Ov//5u7rVrVuX+fPn8/XXX9OmTRtmzZp11lqerVu3Zvny5ezatYtevXrRrl07nnvuuUuexM1MjRs35oUXXuCmm25i8uTJvPnmmyU2ERGRisbLy4uwsLBz9ogDYzWZ77//Hk9PT7p168Ydd9zBsGHDeOGFF8o50gtncfx5UNzfKCwsZPr06SQmJnLXXXfRrl07wFiHNTAw8Lx3JCqKjIwMgoODSU9PJygoyOxwRKqUvLw89u/fT/369SvlTNBijuzsbGrXrs3rr79eooXfbH/191xR6pr69eufd5/FYmHfvn3lGE3pVZTrKCJiNv2GujRm19mlHtNttVpLLIdT7NFHHy2TgEREpGr77bff2LFjB507dyY9Pd155/raa681ObLKp7LOui4iIuJOLmqd7t27d7Ns2TKOHj16VtfK5557rkwCExGRquu1115j586deHt706FDB3755RfCwsLMDktERESk1EqddL/77rs88MADhIWFERkZWWJiG4vFoqRbREQuSbt27diwYYPZYbiNQ4cO8e2335KQkHDW0nVTp041KSoREZGqo9RJ90svvcTLL7/MU0895Yp4REREpIwsXbqUwYMH06BBA3bs2EGrVq04cOAADoeD9u3bmx2eiIhIlVDq2ctPnjzJzTff7IpYREREpAyNHz+exx9/nC1btuDr68v8+fNJTEykT58+qstFRETKSamT7ptvvpnFixe7IhYRqSL+PBeESGVUGf6Ot2/fzrBhwwBjCZbc3FyqVavGCy+8wJQpU0yOTkRESqsy1D0VkdnXrdTdyxs1asSzzz7LmjVriI2NxWq1ltg/ZsyYMgtORNyLt7c3Hh4eHDlyhJo1a+Lt7V1iXgiRysDhcFBQUMCxY8fw8PDA29vb7JDOKyAgwDmOOyoqir1799KyZUsAUlNTzQxNRERKQb+hLk5FqbNLnXS/8847VKtWjeXLl7N8+fIS+ywWi5JuETkvDw8P6tevT1JSEkeOHDE7HJFL4u/vT926dfHwKHWnsXLTtWtXVqxYQfPmzRkwYACPPfYYW7Zs4csvv6Rr165mhyciIhdIv6Eujdl1dqmTbq35KSKXwtvbm7p161JUVITNZjM7HJGL4unpiZeXV4VvZZg6dSpZWVkATJw4kaysLObNm0fjxo01c7mISCWj31AXpyLU2Re1TreIyKWwWCxYrdazhqeISNlq0KCB83lAQACzZs0yMRoREblU+g1VOV1U0q01P0VERCqPgoICjh49etZEMnXr1jUpIhERkaqj1Em31vwUERGpHHbt2sXIkSNZtWpViXKHw4HFYlH3RBERkXJQ6qS7eM3PiRMnEhgYyPz58wkPD2fo0KFcddVVrohRRERELsKIESPw8vLi+++/JyoqqsKPQRcREXFHpU66t2/fzieffGKc/Kc1P6+99loeeOCBMg9SRERESm/Tpk1s2LCBZs2amR2KiIhIlVXqOdPPteZnMa35KSIiUnG0aNFCdbOIiIjJSt3SrTU/RUREKq6MjAzn8ylTpvDkk08yadIkYmNjz5rtNigoqLzDExERqXJK3dI9depUunTpAhhrfl5++eXMmzePmJgY3n///YsKYubMmcTExODr60uXLl1Yt27dBZ336aefYrFYuO666y7qc0VERNxNSEgIoaGhhIaGcsUVV7BmzRouv/xywsPDneXFx4iIiIjrlaql22azcejQIVq3bg2UzZqf8+bNY+zYscyaNYsuXbowbdo0+vfvz86dOwkPDz/veQcOHODxxx+nV69el/T5IiIi7mTZsmUue++ZM2fy6quvkpycTJs2bXjrrbfo3Lnz35736aefctttt3Httdfy9ddfuyw+ERGRisjicDgcpTnB19eX7du3U79+/TIJoEuXLnTq1IkZM2YAYLfbiY6O5uGHH2bcuHHnPMdms9G7d2/uvvtufvnlF9LS0i64Es/IyCA4OJj09HR1qxMREZdwx7pm3rx5DBs2rMRN8s8///yCbpL37NmTBg0aUL169VIl3e54HUVEpGIpj7qm1N3LW7Vqxb59+8rkwwsKCtiwYQNxcXGnA/LwIC4ujtWrV5/3vBdeeIHw8HBGjhxZJnGIiIi4o4ULF7JixQrn65kzZ9K2bVtuv/12Tp48War3mjp1Kvfeey8jRoygRYsWzJo1C39/f2bPnn3ec2w2G0OHDmXixIk0aNDgor+HiIhIZVbqpPull17i8ccf5/vvvycpKYmMjIwSW2mkpqZis9mIiIgoUR4REUFycvI5z1mxYgXvv/8+77777gV9Rn5+/iXFKCIiUlk98cQTznpvy5YtjB07lgEDBrB//37Gjh17we9TXjfJVWeLiIg7uuAx3S+88AKPPfYYAwYMAGDw4MFYLBbnfofDgcViwWazlX2Up2RmZnLnnXfy7rvvEhYWdkHnTJ48mYkTJ7osJhERkYpq//79tGjRAoD58+czaNAgJk2axMaNG531+YX4q5vkO3bsOOc5xTfJN23adMGfozpbRETc0QUn3RMnTmTUqFFlOkFLWFgYnp6epKSklChPSUkhMjLyrOP37t3LgQMHGDRokLPMbrcD4OXlxc6dO2nYsGGJc8aPH1/ibn5GRgbR0dFl9h1EREQqKm9vb3JycgD48ccfGTZsGADVq1d3aSvyxdwkB9XZIiLini446S6eb61Pnz5l9uHe3t506NCBpUuXOpf9stvtLF26lNGjR591fLNmzdiyZUuJsmeeeYbMzEymT59+zorZx8cHHx+fMotZRESksujZsydjx46lR48erFu3jnnz5gGwa9cu6tSpc8HvUx43yUF1toiIuKdSLRl2ZnfysjJ27FiGDx9Ox44d6dy5M9OmTSM7O5sRI0YAMGzYMGrXrs3kyZPx9fWlVatWJc4PCQkBOKtcRESkqpsxYwYPPvggX3zxBW+//Ta1a9cG4H//+x9XXXXVBb9PedwkFxERcVelSrqbNGnyt4n3iRMnShXAkCFDOHbsGM899xzJycm0bduWhQsXOseNJSQk4OFR6vneREREqry6devy/fffn1X+xhtvlPq9dJNcRETk4pQq6Z44cSLBwcFlHsTo0aPPeaccID4+/i/PnTNnTpnHIyIiIiXpJrmIiMjFsTiKB2v/DQ8PD5KTkwkPD3d1TC5VHoufi4hI1aa6pmzoOoqIiKuVR11zwbekXTGeW0RERERERMSdXXDSfYEN4iIiIiIiIiJyygUn3Xa7vdJ3LRcREakqCgsL8fLyYuvWrWaHIiIiUqVpxhMRERE3ZLVaqVu3LjabzexQREREqjQl3SIiIm5qwoQJPP3006VezlNERETKTqmWDBMREZHKY8aMGezZs4datWpRr149AgICSuzfuHGjSZGJiIhUHUq6RURE3NR1111ndggiIiJVnpJuERERN/X888+bHYKIiEiVpzHdIiIibiwtLY333nuP8ePHO8d2b9y4kcOHD5scmYiISNWglm4RERE39fvvvxMXF0dwcDAHDhzg3nvvpXr16nz55ZckJCTw0UcfmR2iiIiI21NLt4iIiJsaO3Ysd911F7t378bX19dZPmDAAH7++WcTIxMREak6lHSLiIi4qfXr13P//fefVV67dm2Sk5NNiEhERKTqUdItIiLipnx8fMjIyDirfNeuXdSsWdOEiERERKoeJd0iIiJuavDgwbzwwgsUFhYCYLFYSEhI4KmnnuLGG280OToREZGqQUm3iIiIm3r99dfJysoiPDyc3Nxc+vTpQ6NGjQgMDOTll182OzwREZEqQbOXi4iIuKng4GCWLFnCihUr+P3338nKyqJ9+/bExcWZHZqIiEiVoaRbRETETeXl5eHr60vPnj3p2bOn2eGIiIhUSUq6RURE3FRISAidO3emT58+9OvXj27duuHn52d2WCIiIlWKxnSLiIi4qR9//JGrrrqKtWvXMnjwYEJDQ+nZsycTJkxgyZIlZocnIiJSJVgcDofD7CDKU0ZGBsHBwaSnpxMUFGR2OCIi4oYqYl1TVFTE+vXr+c9//sPHH3+M3W7HZrOZHdZfqojXUURE3Et51DXqXi4iIuLGdu3aRXx8vHPLz8/nmmuuoW/fvmaHJiIiUiUo6RYREXFTtWvXJjc3l759+9K3b1+eeuopWrdujcViMTs0ERGRKkNjukVERNxUzZo1ycnJITk5meTkZFJSUsjNzTU7LBERkSpFSbeIiIib2rRpE8nJyYwbN478/HyefvppwsLC6N69OxMmTDA7PBERkSpBE6mJiIiUsYpY1xw/fpz4+Hi++eYbPvnkE02kJiIigiZSExERkUvw5ZdfOidQ27ZtG9WrV6dnz568/vrr9OnTx+zwREREqgQl3SIiIm5q1KhR9O7dm/vuu48+ffoQGxtrdkgiIiJVjpJuERERN3X06FGzQxAREanylHSLiIi4MZvNxtdff8327dsBaNGiBddeey2enp4mRyYiIlI1KOkWERFxU3v27GHAgAEcPnyYpk2bAjB58mSio6NZsGABDRs2NDlCERER96clw0RERNzUmDFjaNiwIYmJiWzcuJGNGzeSkJBA/fr1GTNmjNnhiYiIVAlq6RYREXFTy5cvZ82aNVSvXt1ZVqNGDV555RV69OhhYmQiIiJVh1q6RURE3JSPjw+ZmZlnlWdlZeHt7W1CRCIiIlWPkm4RERE3dc0113Dfffexdu1aHA4HDoeDNWvWMGrUKAYPHmx2eCIiIlWCkm4RERE39eabb9KwYUO6deuGr68vvr6+9OjRg0aNGjF9+nSzwxMREakSNKZbRETETYWEhPDNN9+wZ88e55JhzZs3p1GjRiZHJiIiUnUo6RYREXEzdrudV199lW+//ZaCggIuv/xynn/+efz8/MwOTUREpMpR93IRERE38/LLL/P0009TrVo1ateuzfTp03nooYfMDktERKRKUtItIiLiZj766CP+/e9/s2jRIr7++mu+++47Pv74Y+x2u9mhiYiIVDlKukVERNxMQkICAwYMcL6Oi4vDYrFw5MgRE6MSERGpmpR0i4iIuJmioiJ8fX1LlFmtVgoLC02KSEREpOrSRGoiIiJuxuFwcNddd+Hj4+Msy8vLY9SoUQQEBDjLvvzySzPCExERqVKUdIuIiLiZ4cOHn1V2xx13mBCJiIiIKOkWERFxMx988IHZIYiIiMgpGtMtIiIiIiIi4iJKukVERERERERcREm3iIiIiIiIiIso6RYRERERERFxESXdIiIiIiIiIi6ipFtERERERETERZR0i4iIiIiIiLiIkm4RERERERERF1HSLSIiIiIiIuIiSrpFREREREREXERJt4iIiIiIiIiLKOkWERERERERcZEqm3QfzcgzOwQRERERERFxc1U26b71nTVsOZRudhgiIiIiIiLixqps0n00M5+b/7OKBb8nmR2KiIiIiIiIuKkqm3T3alyDvEI7D83dyLQfd2G3O8wOSURERERERNxMlU26Z9zegXt71Qdg2o+7Gf3JRnIKikyOSkRERERERNxJlU26PT0sTBjYgn/d1Bqrp4UftiRz49urOXQyx+zQRERERERExE1U2aS72C0do/nk3q6EVfNme1IG185Yybr9J8wOS0RERERERNxAlU+6ATrGVOfb0T1pVTuI49kFDH1vDXPXJpgdloiIiIiIiFRySrpPqRXix+f3d+ea1lEU2hw8/dUWJny1hYIiu9mhiYiIiIiISCWlpPsMft6evHVbO57o3xSLBT5em8DQ99ZwLDPf7NBERERERESkElLS/ScWi4WH+jXi/eEdCfTxYv2BkwyesYIth9LNDk1ERMRUM2fOJCYmBl9fX7p06cK6devOe+y7775Lr169CA0NJTQ0lLi4uL88XkRExF0p6T6Py5pF8PXoHjSoGUBSeh43zlrF/A2HzA5LRETEFPPmzWPs2LE8//zzbNy4kTZt2tC/f3+OHj16zuPj4+O57bbbWLZsGatXryY6Oporr7ySw4cPl3PkIiIi5rI4HA6H2UGUp4yMDIKDg0lPTycoKOjvj88r5NFPN7F0h/Gj4q7uMUwY2Byrp+5XiIjIuZW2rqkMunTpQqdOnZgxYwYAdrud6OhoHn74YcaNG/e359tsNkJDQ5kxYwbDhg27oM90x+soIiIVS3nUNcoc/0aQr5V3h3VkzGWNAJiz6gB3vLeW1CyN8xYRkaqhoKCADRs2EBcX5yzz8PAgLi6O1atXX9B75OTkUFhYSPXq1V0VpoiISIWkpPsCeHhYGHtlU/5zZweq+Xixdv8JBr21gk2JaWaHJiIi4nKpqanYbDYiIiJKlEdERJCcnHxB7/HUU09Rq1atEon7n+Xn55ORkVFiExERqeyUdJdC/5aRfP1Qd+c471tmreaTdVrPW0RE5K+88sorfPrpp3z11Vf4+vqe97jJkycTHBzs3KKjo8sxShEREddQ0l1KjcID+eahHlzZIoICm53xX25h3PzfySu0mR2aiIiIS4SFheHp6UlKSkqJ8pSUFCIjI//y3Ndee41XXnmFxYsX07p16788dvz48aSnpzu3xMTES45dRETEbEq6L0Kgr5VZd3Rwruf96fpEbvnPag6dzDE7NBERkTLn7e1Nhw4dWLp0qbPMbrezdOlSunXrdt7z/vWvf/Hiiy+ycOFCOnbs+Lef4+PjQ1BQUIlNRESkslPSfZE8PIz1vD8c0ZkQfyu/H0rnmrdWsHzXMbNDExERKXNjx47l3Xff5cMPP2T79u088MADZGdnM2LECACGDRvG+PHjncdPmTKFZ599ltmzZxMTE0NycjLJyclkZWWZ9RVERERMoaT7EvVuUpPvH+5J6zrBpOUUctcH65j+427s9iq1EpuIiLi5IUOG8Nprr/Hcc8/Rtm1bNm3axMKFC52TqyUkJJCUlOQ8/u2336agoICbbrqJqKgo5/baa6+Z9RVERERMUSHW6Z45cyavvvoqycnJtGnThrfeeovOnTuf89h3332Xjz76iK1btwLQoUMHJk2adN7j/8xV67DlFdqY+N0258RqfZvW5I1b2hIa4F1mnyEiIpWD1pcuG7qOIiLialVine558+YxduxYnn/+eTZu3EibNm3o378/R48ePefx8fHx3HbbbSxbtozVq1cTHR3NlVdeyeHDh8s58pJ8rZ5MviGWV29qjY+XB/E7j3GNlhUTERERERGp0kxv6e7SpQudOnVixowZgDExS3R0NA8//DDjxo372/NtNhuhoaHMmDGDYcOG/e3x5XEnY9uRDB78eAMHjudg9bTwzMAWDOtWD4vF4pLPExGRikUttGVD11FERFzN7Vu6CwoK2LBhA3Fxcc4yDw8P4uLiWL169QW9R05ODoWFhVSvXv2c+/Pz88nIyCixuVqLWkF8+3BPrm4VSaHNwfPf/sHoT34jM6/Q5Z8tIiIiIiIiFYepSXdqaio2m805CUuxiIgIkpOTL+g9nnrqKWrVqlUicT/T5MmTCQ4Odm7R0dGXHPeFCPK18u+h7Xn2mhZ4eVhY8HsSg95awR9H0svl80VERERERMR8po/pvhSvvPIKn376KV999RW+vr7nPGb8+PGkp6c7t8TExHKLz2KxMLJnfebd341awb4cOJ7D9f9excdrD1IB5q8TERERERERFzM16Q4LC8PT05OUlJQS5SkpKURGRv7lua+99hqvvPIKixcvpnXr1uc9zsfHh6CgoBJbeetQL5Qf/tGLy5uFU1BkZ8JXW3lY3c1FRERERETcnqlJt7e3Nx06dGDp0qXOMrvdztKlS+nWrdt5z/vXv/7Fiy++yMKFC+nYsWN5hHrJQvy9eW94RyYMaI6Xh4Xvf0/imrdW8PuhNLNDExERERERERcxvXv52LFjeffdd/nwww/Zvn07DzzwANnZ2YwYMQKAYcOGMX78eOfxU6ZM4dlnn2X27NnExMSQnJxMcnIyWVlZZn2FC2axWLi3dwM+G9WN2iF+HDyew41vr+K9X/apu7mIiIiIiIgbMj3pHjJkCK+99hrPPfccbdu2ZdOmTSxcuNA5uVpCQgJJSUnO499++20KCgq46aabiIqKcm6vvfaaWV+h1NrXDeWHMb24qqUxu/lLC7Yz8sNfOZ6Vb3ZoIiIiIiIiUoZMX6e7vFWkNT8dDgf/XZvAi99vo6DITnigD1NvaUvPxmGmxiUiIpemItU1lZmuo4iIuJrbr9Nd1VksFu7sWo+vH+xBo/BqHM3M587Za5n8v+0UFNnNDk9EREREREQukZLuCqBFrSC+G92T2zrXxeGA/yzfx82zVrE/Ndvs0EREREREROQSKOmuIPy8PZl8Qyyz7mhPsJ+VzYfSGfjmL3y6LkGTrImIiIiIiFRSSrormKtaRfG/f/Sia4Pq5BTYGPflFkb9dwMnswvMDk1ERERERERKSUl3BVQrxI+593Rl/NXNsHpaWPRHCv2n/czyXcfMDk1ERERERERKwcvsAOTcPDws3N+nIT0ahfGPT39j77Fshs9ex51d6zF+QDP8vfWfTkSqNofDQVZ+EWk5hWTkFZJTYDO2/CLyimwU2RwU2Y3NbnfgYTH+bfWwWPC0WPCxeuBn9cTX6omftyeBvl4E+VoJ9PWimo8XFovF7K8oIiIibkCZWwXXqnYw3z/ciykLdzBn1QH+b81BVuxJZeotbWhXN9Ts8EREXCKnoIjDJ3M5dDKXQydzSErP42hmPikZeRzNyOd4dgHpuQUU2lwz54WHBaoHeFMjwIca1bypUc2HiEAfIoN9iQr2IzLYh9oh/oQH+uDhoeRcREREzk9JdyXg5+3JPwe35PLm4Tzx+e/sT83mplmrebBvQx6+rDHeXholICKVj8Ph4NDJXHalZLL3WBb7jmUbW2o2qVn5F/w+Pl4eBPlZCfD2xM/biwBvo/Xay9OCl4cHXh4WPD0s2B0O7A4HNjvY7Hbyi+zkFdrILTQeM/MKSc8tpNDmwO6A1KwCUrMKIOX8n+3t6UHtUD/qhPpRt7o/9cMCiKkRQJivrQyukIiIiLgDJd2VSK/GNVn0SG+e+3Yr32w6wls/7WHp9qO8fksbmke5ZiF3EZGyUFBkZ1dKJr8fSmfrkXR2JmeyMzmTrPyi854T6OtFdKg/tUP9qBXsS3iQLxFBvkQE+VAjwIfQACshft74eXuWWZwOh4P8IjvpuYWcyC7geFYBx7PzOXaqlT05I5/k9FyS0vNISs+jwGZnf2r2WUs82vNzyiwmERERqdyUdFcywf5Wpt/ajitbRPLM11vYlpTB4BkreCSuCff3boCXp1q9RcRcDoeDw2m5bDh4ko0HT7IpMY3tSZkU2OxnHWv1tNCwZjUahVejQc1qNKwZQIOwatSt4U+wn7XcY7dYLPieGucdEeT7l8cW2ewkZ+SReCKXxJM5JBzPcSbge4/klVPEIiIiUtFZHFVsEeiMjAyCg4NJT08nKKhytw4fy8xnwldbWLzN6PvYpk4w/7qpDU0jA02OTESqEofDwb7UbNbsO86afSdYt/84KRlndw8P8vWidZ0QWtUOpnlUIM2jgqgfFoDVDW8WpqenExIS4hZ1jZncqc4WEZGKqTzqGrV0V2I1A334z50d+Oq3w/zz2z/YfCida976hX9c3pj7+zR0yx+yIlIxHM3I45fdqfyy+xgr9x7nWGbJJNvLw0KLWkG0rxtK+3qhtK0TQnR1vyozI3hV+Z4iIiLy95R0V3IWi4Ub2tehR6Mwnv5yC0t3HOW1xbv439ZkXr2pDS1qqWVARC5dkc3OhoMn+WnHUZbvOsaO5MwS+729PGhfN4SuDWrQpX4N2kaHlOlYaxEREZHKSkm3m4gI8uW94R35etNh/vntNv44Yoz1fqBvQ0Zf1ggfL/34FZHSycwrZNnOYyzdnkL8zmOk5xY691ksEFs7mF6Nw+jZqCbt6obga9W/MyIiIiJ/pqTbjVgsFq5vZ7R6P/v1Vhb9kcJbP+3hhy1J/Oum1nSoV93sEEWkgjuZXcCS7Sks3JrMit2pJSY/C/G30q9pOP2ahdOzURjVA7xNjFRERESkclDS7YbCA335z50d+d+WJJ795g/2HjPW9R7WtR6P929KoG/5zwgsIhVXRl4hi/9I4bvNR1ixJxWb/fT8mvXDAriyZQRxzSNoXzcUTw+NVRYREREpDSXdbuzq2Ci6NazBywu28/mGQ3y4+iCL/khh4rUt6d8y0uzwRMRE+UU2ftp+lK9+O0z8zmMlWrSbRwVxdatIrmoVSePwapoUTEREROQSKOl2cyH+3rx6cxuua1ebp7/awsHjOdz/fxvo3zKCiYNbERn81+vQioj7cDgc/HrwJF9uPMyC34+QkVfk3NcovBqD29TimtZRNKhZzcQoRURERNyLku4qokejMBY90pu3ftrNf5bvY9EfKazcc5yxVzRhWLd6eGl5MRG3lZyex/yNh/j810QOHM9xlkcG+XJtu1pc17Y2zSID1aItIiIi4gJKuqsQX6snT/RvxqA2tRj/5RZ+S0jjhe+3MX/jIV6+Ppa20SFmhygiZaTQZuenHUf5dF0Cy3cdo3iYtr+3J1e3iuLG9rXp0qCGxmiLiIiIuJiS7iqoWWQQ80d159P1iUxZuIM/jmRw/b9XcnvnujzRvykh/pqRWKSySjyRw7z1iXz2ayJHM/Od5Z1iQrm5YzQDY6MI8NE//SIiIiLlRb+8qigPDwu3d6nLlS0jmPTDdr7ceJiP1ybwv63JPHVVU27uEI2HWsBEKgWb3cHyXUf5v9UHid91DMepVu2wat7c2KEOQzpGa5y2iIiIiEmUdFdxYdV8mHpLW27uEM1z32xl99Esnpq/hU/WJfLita2IrRNsdogich4nsguYtz6Rj9ce5NDJXGd5z0Zh3Na5Lle0iMDbS/M1iIiIiJhJSbcA0K1hDX74Ry8+XHWAN5bsYlNiGoNnruDWTtE8fmVTalTzMTtEETll6+F05qw6wLebj1BQZCz1Fexn5eYOdRjatR71wwJMjlBEREREiinpFierpwf39GrAoDa1mPTDdr7ZdIRP1iXy/e9JPBrXhDu71cOqWc5FTFFks7Pwj2TmrDzArwdPOstb1Q5iWLcYBrWuhZ+3p4kRioiIiMi5WByO4tF/VUNGRgbBwcGkp6cTFBRkdjgV2rr9J/jnt3+wLSkDgMbh1Xjmmhb0aVLT5MhEqo60nAI+WZfIR6sPkJSeB4CXh4UBsVEM7x5D+7ohWuqrAlJdUzZ0HUVExNXKo65RS7ecV+f61fnu4Z7MW5/Iq4t2sPtoFsNnr6Nf05pMGNiCRuGamEnEVfYczWL2yv18ufEQeYVGF/Kwat7c3qUeQ7vUJSLI1+QIRURERORCKOmWv+R5apbzgbFRvPnTbj5cdYBlO4/x8+6fuaNLXf4R14TqAVpiTKQsOBwOVu45zvsr9rFs5zFneYuoIEb0iGFQm1r4WtWFXERERKQyUdItFyTY38qz17RgaJe6TPphBz9uT+HD1Qf58rfDjO7XiOHdY5QMiFyk/CIb3246wvsr9rMjORMAiwXimkcwsmd9utSvri7kIiIiIpWUkm4plQY1q/He8I6s3JPKSwu2sz0pg8n/28FHqw/yRP+mDG5TS+t7i1ygk9kFfLz2IB+uPsixzHwA/L09uaVjNHd1jyFGs5CLiIiIVHqaSE0ums3u4KvfDvPaop0kZxgTPLWsFcRTVzWjV+MwtcyJnMeB1GzeX7GfzzckOsdrRwT5cFf3+tzeuS7B/laTI5RLpbqmbOg6ioiIq2kiNanQPD0s3NShDgNjo5i9cj9vx+/ljyMZDJu9ju4Na/DUVc1oEx1idpgiFcaGgyd45+d9LN6WQvHtzhZRQdzbuz4DY2vh7aUl+URERETcjVq6pcwcz8pn5rK9/HfNQQpsRuvd1a0iGXtFExpHBJocnYg5bHYHi/9I5p1f9vFbQpqzvF/TmtzbqwHdGtZQrxA3pLqmbOg6ioiIq6mlWyqVGtV8eG5QC0b0iOGNH3fx1W+H+d/WZBb9kcx1bWvzSFwT6tbwNztMkXKRU1DE578e4v0V+0k4kQOAt6cH17erzT296utGlIiIiEgVoZZucZmdyZlMXbKTRX+kAODlYeHmjtGMvqwRtUP8TI5OxDWOZuTx4eoD/HdNAum5hQCE+FsZ1rUed3aLoWagj8kRSnlQXVM2dB1FRMTV1NItlVrTyED+c2dHfj+UxmuLd/HzrmN8si6BLzYkckvHaB7q14haSr7FTexMzuS9X/bxzaYjzuEV9Wr4M7JnfW7qUAd/b/1zKyIiIlIV6VeguFzrOiF8dHdn1h84wRtLdrFq73E+XpvA578eYkinaEb1baiWb6mUHA4Hv+xO5d1f9vHL7lRneYd6odzbqwFXtIjAU0voiYiIiFRpSrql3HSKqc7ce7uyZt9x3liyi7X7T/B/aw7y6foEbmxfhwf6NqReDa1LLBVffpGNbzcd4f0V+9mRnAmAhwX6t4zknl4N6FAv1OQIRURERKSiUNIt5a5rgxrMu78bq/ce562fdrNq73E+XZ/I5xsOMbhNLR7o25AmmmRKKqDjWfl8vDaBj1YfJDUrHwB/b09u6RjN3T3qa6JAERERETmLkm4xTbeGNejWsAYbDp7grZ/2EL/zGF/9dpivfjtMXPMIHujbUC2GUiHsSsnkg5X7+XLjYfKLjPHakUG+DO8ew+2d6xLsbzU5QhERERGpqJR0i+k61KvOnBGd+f1QGrOW7+V/W5P5cXsKP25PoXNMde7r3YDLmoXjobGxUo7sdgfLdx1j9sr9JcZrt64TzMie9RkQG4XV08PECEVERESkMlDSLRVG6zoh/HtoB/Yey+Kd5fv48rdDrDtwgnUHTtCgZgD39mrA9e1q42v1NDtUcWOZeYV8seEQH60+yP7UbOD0eO0RPerTKSYUi0U3gERERETkwmidbqmwktPz+GDVfuauSSAzvwiAGgHeDO1Slzu61iM8yNfkCMWd7D2Wxf+tPsjnvyaSXWADINDHi1s7RzOsWwzR1TVeWy6c6pqyoesoIiKuVh51jZJuqfAy8wqZtz6RD1Ye4HBaLgBWTwsDY6MY0aM+baJDzA1QKq0im52lO47yf6sPsmLP6S7kDWsGcFf3GG5oX4cAH3UIktJTXVM2dB1FRMTVlHS7gCrwyqvQZmfRH8l8sPIAGw6edJa3iQ5hWNd6DGwdpa7nckGOZubx+a+HmLs2wXkjx2KBy5qGc1ePGHo2ClMXcrkkqmvKhq6jiIi4mpJuF1AF7h5+P5TGBysPsOD3JApsxmzSof5WbukUzW2d6hITpvW+pSSHw8Hqvcf5eG0Ci/5Ipshu/NNX/HdzR5d66kIuZUZ1TdnQdRQREVdT0u0CqsDdS2pWPvPWJ5ZosQTo3rAGt3auS/+WEfh4qfW7Kjuamcf8DYf57NdE58RoAO3rhnB7l3pcox4S4gKqa8qGrqOIiLhaedQ1GqwolVpYNR8e6teIUX0a8tOOo/x3zUF+3n2MVXuPs2rvcUL9rVzXrjY3d4imRS39YKsqimx2ft59jHnrE1m6/aizVbuajxfXtavF7Z3r6e9BRERERMqFkm5xC54eFq5oEcEVLSI4dDKHz9Yn8tmvh0jOyOODlQf4YOUBWkQFcXPHOgxuU4sa1XzMDllcYGdyJvM3HuKr3w5zLDPfWd6+bgi3dqrLwNZRmhhNRERERMqVupeL2ypu7fxiwyGWbEuh0Gb8qXt6WOjdOIzr2tXmihYR+HsrCavMjmbk8e3mI3y96TBbD2c4y6sHeHNd29rc2jmaJhGBJkYoVZHqmrKh6ygiIq6m7uUil8DL04PLmkVwWbMITmYX8O3mI3yx4RBbDqezbOcxlu08hr+3J1e0iOCa1rXo3SRM478rifScQhZtS+abTYdZvfc4p3qP4+Vh4fLm4dzYvg59m4bj7eVhbqAiIiIiUuWppVuqnD1Hs/h202G+2nSYxBOnJ18L9PHiihYRDIiNomfjME2uVcGk5xayZFsKC34/woo9qc6eCwAd6oVybdtaDIyN0tABqRBU15QNXUcREXE1zV7uAqrApZjD4eC3xDS+35zED1uSSM7Ic+7z9/akT5Oa9G8ZSb9m4QT7WU2MtOpKychjybYUFm9LYfXekol204hABrWJ4tq2tbXUl1Q4qmvKhq6jiIi4mpJuF1AFLuditzvYmHCS739PYvEfyRxJP52Ae3pY6FAvlMuahXNZs3Aah1fDYrGYGK37stsdbEvKIH7nUX7cfpRNiWkl9jeNCGRAbBQDW0fSKFzjtKXiUl1TNnQdRUTE1ZR0u4AqcPk7DoeDrYczWPRHMov+SGb30awS+2uH+NGrcRg9G4fRo2EYoQHeJkXqHo5n5bNq73F+3nWM+F3HSsw6DtCubghXtojkihYRNAqvZlKUIqWjuqZs6DqKiIirKel2AVXgUlqJJ3L4acdRftpxlNX7jlNQZHfus1igVa1gutSvTpcGNegcU51gf3VF/ysZeYVsOHCS1fuOs2J3KtuSMkrs9/f2pGejMPo2DSeueTjhQb4mRSpy8VTXlA1dRxERcQmHA2yFUJRLxolUgms3UtJdllSBy6XIKShi3f4T/LI7lRW7U9mZklliv8UCzSKD6FAvhHbRobSvF0pMDf8q2x3d4XBwOC2XTYlpbDh4knX7T7A9KcM523ixZpGB9GwURr9m4XSMCdUs8lLpqa4pG7qOIiJVlK0ICrKgIPvUlgWFOaefF+Scfl2YazwvzD21ZUNh3umyouLneVCUC0X5RjnGD9KMfAfBr2RqyTCRisLf24u+TcPp2zQcMCb6WrPvOGv2nWDt/uPsO5bN9qQMtidl8N81CQCE+ltpVTuY2NrBtKodTKtawdQJ9cPDw70ScYfDQUpGPtuS0vnjcAabD6WzKTGN1Kz8s46NqeFP5/rV6dEojO4Nw6gZqBnHRSqDmTNn8uqrr5KcnEybNm1466236Ny583mP//zzz3n22Wc5cOAAjRs3ZsqUKQwYMKAcIxYRkXJTlA/5WZCfAfmZp7eCM8uyTpWd+TzLeF6QaSTR+VlgO/v3o+u4/je5WrpFytDRjDx+PXiSjQdP8ltiGlsOp5fojl4swNuTRhGBNI2oRpOIQBrUDCCmRgDR1f2xelbstaUdDgfHMvPZcyyLvUez2HM0iz3HstielMmJ7IKzjvfysNAsKpD2dUPpXL86nWOqq8u4uD13rGvmzZvHsGHDmDVrFl26dGHatGl8/vnn7Ny5k/Dw8LOOX7VqFb1792by5Mlcc801zJ07lylTprBx40ZatWp1QZ/pjtdRRKTCsBWe3ZpcnPQ6X2edTpaLE+Uzy/IzTr+2nf078JJ5WMGnGlgDwPvUZvUHb/9TjwFg9Tv7udUPvHxPPfcFL7/zPPqSkZ1HcEiIupeXJVXgUp7yi2zsSMpk65F0th7OYOvhdHYmZ1JgOzsRB2Om9DqhftQJ9aNWsB+1QvyoHeJHeJAPYdV8qBnoQ/UAb5cl5g6Hg4y8Ik5mF5CckUdKRh7J6XkkZ+SReCKXhBPZJJzIIa/w/PE3qlmNFrWCaFkriHZ1Q2hZK1hrnkuV4451TZcuXejUqRMzZswAwG63Ex0dzcMPP8y4cePOOn7IkCFkZ2fz/fffO8u6du1K27ZtmTVr1gV9pvM6piQSFBwMFg/AYjxaLGe8PqNMxFUcjlOb3dg443lxOWccU3xOcdmZj2fucz6/CM6/ecvZry0WSvz/4dx/rv+HPP60WfT/kxnsdiNxLco79Zh/ass79Zh7dhfpP3edPqurdc7prtjO59nGo73QNd/D6g8+gcbmXe3U86BTj9VKljv3VzOee1cr+dzL9RMWl0edre7lIi7k4+VJm+gQ2kSHOMuKbHYOHM9hV0omO5Mz2X00k33Hsjl4PIfcQhsHj+dw8HjOX75vkK8XQX5WgnytBPl5Uc3HCx+rJ75envhaPfD28sDDYsECzm7shTY7hTY7RTYHBTY72flFZOfbyMovIju/iJM5haTlFFD05wHX5+Bhgejq/jSqWY1G4cbWJCKQppGBSrBF3FBBQQEbNmxg/PjxzjIPDw/i4uJYvXr1Oc9ZvXo1Y8eOLVHWv39/vv7669IH8EYL8LnQBMByjmTiHAk6llN5yvkSkD+f81fJyplJy5nH/Wnf+crP9frPNxPO9x7O1+f67pZzP8I5nnP6tfNSnuOaO5PDPyeL50gsz3wskZAWl5+RrJ6VxJ7aZ7f9qcwODtvp80rsP/Xc/qfXJY5z/H979x7U5JX+AfybhEtAgYrKHQSt4gUqKqCoK6hYuj90tN3xVhhZsZ3trlaUkdZbtbZrqe5g7aqjxXbddbZq6zq63XoZGQRF8YYCq25FXau4VEAsgiI3k/P7A3klISiXvAmh389MhuS8533f85DkPJyc8wbdcp3t+udvuo/2Wcy/FM0G4qpn95V6ZUpVw/2m5Y1lUv0mZcqmx1LpHVv19HWsMtAG/feL/ntD730qlTXG1NKHFNB73TYp0/8wpenrQ9v4U/Psp/bJ05/1Dfc1T5rcr396q2vysxZ4UtdwX65B8IuobJ7OEnd7OuDt1mRQ3K3JQLjJ4FgaKDs8G2A3DqJVHGLq42+EyMSsVEppoPp/ge5SeeM10bfuV6GovBo/PajGTxXVKHpQg3sPa1H2qBb3H9VCK4DKmieorHkCoFqWNtrbqODqqIaroy3cHNVwdVLDu4c9fJwbbh4v2cHGqnMvgyci4ykrK4NGo4Grq6tOuaurK65evWpwn+LiYoP1i4uLWzxPbW0tamufXcdXWVnZYt2W6c00EnUqz/nwQ6rSyg+YWvMBSEdIH4aQ2ahspSXQsLJt8rilpdJ2T5ddP11ibaVusuT66U/9Jdo23QEV//OO3DjoJuokFAoF3JzUcHNq+XpnrVag/HEdHlTXo6K6HpVPfz6u06CmXoOaei1q6jWo12ghAGiFkHKwlVIBK5US1koFbKyUsLe1QndbFextGmbKe9jbwLmbDV6yt+ZsNRGZRXJyMtasWdN8w5IbgEN3wzNOgN7MqfY5M6wt7fOc+9L+0JuR1Z+hbXyseTrWMTBr2/Rx0320GgPH0G+Hof0NLGtuNpvc9AOIprN4hpY6N2VowGZocKg3eDS4vFlv1rHZaoCmM5Yq6M5iqvTqqJrMhDadPVUa2F+pt62xfguztzozuC3coGioY2iVw/NWGphzqXbT14/B17n+67OlGX/9lQXaZzO80goDjYFyvTJD+zRb0aC38kB6j+g/brzpv2f0+oGmr+fnLeVvNhOut7JF2dLr8elPpVWTx1YNg1mlquG6ZFXjzabh1lhmZfusrPG+lbphG5f4dxkcdBNZEKVSgZ7dbdGzO7/tm4hMp1evXlCpVCgpKdEpLykpgZubm8F93Nzc2lQfAJYtW6azJL2yshLe3t4NMzg29h2IgOgXTBr0c4Uakbnw3UdERETPZWNjgxEjRiA9PV0q02q1SE9PR1hYmMF9wsLCdOoDQFpaWov1AcDW1haOjo46NyIiIkvHmW4iIiJ6ocTERMTFxSE4OBihoaHYuHEjqqqqMHfuXADAnDlz4OnpieTkZABAQkICwsPDkZKSgujoaOzZswc5OTlITU01ZxhEREQmx0E3ERERvdDMmTNx7949rFq1CsXFxQgKCsKRI0ekL0srLCyEUvlsAd3o0aOxa9curFy5EsuXL0f//v1x4MCBVv+PbiIioq6C/6ebiIjIyJhrjIO/RyIikpspcg2v6SYiIiIiIiKSCQfdRERERERERDLhoJuIiIiIiIhIJhx0ExEREREREcmEg24iIiIiIiIimXDQTURERERERCQTDrqJiIiIiIiIZMJBNxEREREREZFMOsWge8uWLfD19YVarcbIkSNx7ty559bfu3cvBg4cCLVajcDAQBw6dMhELSUiIiIiIiJqPbMPur/55hskJiZi9erVuHjxIoYOHYqoqCiUlpYarJ+dnY3Zs2dj3rx5yM3NxbRp0zBt2jRcvnzZxC0nIiIiIiIiej6FEEKYswEjR45ESEgINm/eDADQarXw9vbGu+++i6VLlzarP3PmTFRVVeH777+XykaNGoWgoCBs27btheerrKyEk5MTKioq4OjoaLxAiIiInmKuMQ7+HomISG6myDVmnemuq6vDhQsXEBkZKZUplUpERkbi9OnTBvc5ffq0Tn0AiIqKarF+bW0tKisrdW5EREREREREpmBlzpOXlZVBo9HA1dVVp9zV1RVXr141uE9xcbHB+sXFxQbrJycnY82aNc3KOfgmIiK5NOYYMy8ms3iNvz/mbCIikospcrZZB92msGzZMiQmJkqPi4qKMHjwYHh7e5uxVURE9Etw//59ODk5mbsZFuvhw4cAwJxNRESykzNnm3XQ3atXL6hUKpSUlOiUl5SUwM3NzeA+bm5ubapva2sLW1tb6XH37t1x584dODg4QKFQdDCCF6usrIS3tzfu3LnTpa5H66pxAYzNUjE2y9NV4wKAiooK+Pj4wNnZ2dxNsWgeHh4my9ld+fXI2CxPV40LYGyWqivHZoqcbdZBt42NDUaMGIH09HRMmzYNQMMXqaWnp2PBggUG9wkLC0N6ejoWLVoklaWlpSEsLKxV51QqlfDy8upo09vM0dGxy71Aga4bF8DYLBVjszxdNS6gIedQ+5kjZ3fl1yNjszxdNS6AsVmqrhybnDnb7MvLExMTERcXh+DgYISGhmLjxo2oqqrC3LlzAQBz5syBp6cnkpOTAQAJCQkIDw9HSkoKoqOjsWfPHuTk5CA1NdWcYRARERERERE1Y/ZB98yZM3Hv3j2sWrUKxcXFCAoKwpEjR6QvSyssLNT51GH06NHYtWsXVq5cieXLl6N///44cOAAAgICzBUCERERERERkUFmH3QDwIIFC1pcTp6ZmdmsbPr06Zg+fbrMrTIOW1tbrF69Wue68q6gq8YFMDZLxdgsT1eNC+jasXVVXfk5Y2yWp6vGBTA2S8XYOkYh+P9MiIiIiIiIiGTBb3ghIiIiIiIikgkH3UREREREREQy4aCbiIiIiIiISCYcdLfBiRMnMGXKFHh4eEChUODAgQOt3vfUqVOwsrJCUFBQs21FRUWIjY1Fz549YWdnh8DAQOTk5Biv4a0gR2wajQYffPAB/Pz8YGdnh379+uHjjz+GKb9GoK1xZWZmQqFQNLsVFxfr1NuyZQt8fX2hVqsxcuRInDt3TsYoDJMjtuTkZISEhMDBwQEuLi6YNm0aCgoKZI6kObmet0affvopFAoFFi1aZPzGv4BcsZm7H5Ejrs7QhwDt6x9ra2uxYsUK9OnTB7a2tvD19cVf/vIXnTp79+7FwIEDoVarERgYiEOHDskUwS8P87VhnTlfA8zZTVlKzma+fsZS8jXAnK3PFDmbg+42qKqqwtChQ7Fly5Y27ffgwQPMmTMHEydObLatvLwcY8aMgbW1NQ4fPoz//Oc/SElJQY8ePYzV7FaRI7Z169Zh69at2Lx5M3744QesW7cO69evx6ZNm4zV7Bdqb1wFBQW4e/eudHNxcZG2ffPNN0hMTMTq1atx8eJFDB06FFFRUSgtLTV2859LjtiOHz+O+fPn48yZM0hLS0N9fT1effVVVFVVGbv5zyVHbI3Onz+PL774Aq+88oqxmtsmcsTWGfoROeLqDH0I0L7YZsyYgfT0dHz11VcoKCjA7t274e/vL23Pzs7G7NmzMW/ePOTm5mLatGmYNm0aLl++LEcIvzjM18119nwNMGcb0tlzNvN1c509XwPM2fpMkrMFtQsAsX///lbVnTlzpli5cqVYvXq1GDp0qM62999/X4wdO9b4DewAY8UWHR0t4uPjdcreeOMNERMTY6SWtk1r4srIyBAARHl5eYt1QkNDxfz586XHGo1GeHh4iOTkZCO1tO2MFZu+0tJSAUAcP368Yw3sAGPG9vDhQ9G/f3+RlpYmwsPDRUJCgtHa2R7Giq2z9SPGiquz9SFCtC62w4cPCycnJ3H//v0W68yYMUNER0frlI0cOVL87ne/M0YzqQnm6waWlK+FYM62xJzNfG15+VoI5mxT5WzOdMtsx44duHnzJlavXm1w+3fffYfg4GBMnz4dLi4uGDZsGLZv327iVrbPi2IbPXo00tPTce3aNQBAfn4+Tp48iV//+tembGa7BAUFwd3dHZMmTcKpU6ek8rq6Oly4cAGRkZFSmVKpRGRkJE6fPm2OprZZS7EZUlFRAQBwdnY2RdM67EWxzZ8/H9HR0TrPn6V4XmyW3I88Ly5L7UMan4/169fD09MTAwYMwJIlS1BdXS3VOX36dLPXYVRUlMX0I10R87XlvdcaMWc3sKSczXxtef0IwJzdVFtztpXRWkzNXL9+HUuXLkVWVhasrAz/qm/evImtW7ciMTERy5cvx/nz57Fw4ULY2NggLi7OxC1uvdbEtnTpUlRWVmLgwIFQqVTQaDRYu3YtYmJiTNza1nN3d8e2bdsQHByM2tpafPnll4iIiMDZs2cxfPhwlJWVQaPRwNXVVWc/V1dXXL161Uytbp0XxaZPq9Vi0aJFGDNmDAICAszQ4tZrTWx79uzBxYsXcf78eTO3tm1aE5sl9iOticsS+xCg4fk4efIk1Go19u/fj7KyMvzhD3/A/fv3sWPHDgBAcXGxwX6kpesaSV7M15b5XmPOfsZScjbztWX2I8zZRsjZrZ4TJx14wXKFJ0+eiODgYLF161apzNCSLmtraxEWFqZT9u6774pRo0YZs7ltYqzYdu/eLby8vMTu3bvFv//9b7Fz507h7Ows/vrXv8rU8ud7UVwtGTdunIiNjRVCCFFUVCQAiOzsbJ06SUlJIjQ01BjNbBdjxKbvnXfeEX369BF37tzpYOs6xhixFRYWChcXF5Gfny9tt5TlaoboP2+drR8xVlydrQ8RonWxTZo0SajVavHgwQOpbN++fUKhUIjHjx8LIRqes127dunst2XLFuHi4mL0Nv/SMV9bXr4WgjnbkM6es5mvm+vs+VoI5mxT5WzOdMvk4cOHyMnJQW5uLhYsWACg4VNIIQSsrKxw9OhRTJgwAe7u7hg8eLDOvoMGDcK+ffvM0exWaW1sSUlJWLp0KWbNmgUACAwMxO3bt5GcnNypP83TFxoaipMnTwIAevXqBZVKhZKSEp06JSUlcHNzM0fzOqRpbE0tWLAA33//PU6cOAEvLy8ztKzjmsZ24cIFlJaW6swOaDQanDhxAps3b0ZtbS1UKpW5mtpm+s+bJfYjhujHZal9iLu7Ozw9PeHk5CSVDRo0CEII/O9//0P//v3h5ubWZfoRS8d83XXyNcCcbYk5m/m6c/cjLWHObls/wmu6ZeLo6IhLly4hLy9Pur3zzjvw9/dHXl4eRo4cCQAYM2ZMs3/vcO3aNfTp08cczW6V1sb2+PFjKJW6LzGVSgWtVmuOZrdbXl4e3N3dAQA2NjYYMWIE0tPTpe1arRbp6ekICwszVxPbrWlsACCEwIIFC7B//34cO3YMfn5+ZmxdxzSNbeLEic1es8HBwYiJiUFeXp5FJXCg+fNmif2IIfpxWWofMmbMGPz000949OiRVHbt2jUolUrpD+KwsDCdfgQA0tLSLLIfsXTM15b7XjOEOdvyMF937n6kJczZbcvZnOlug0ePHuHGjRvS4x9//BF5eXlwdnaGj48Pli1bhqKiIuzcuRNKpbLZNTUuLi5Qq9U65YsXL8bo0aPxySefYMaMGTh37hxSU1ORmppqsrgAeWKbMmUK1q5dCx8fHwwZMgS5ubnYsGED4uPjO2VcALBx40b4+flhyJAhqKmpwZdffoljx47h6NGj0jESExMRFxeH4OBghIaGYuPGjaiqqsLcuXNNFpdcsc2fPx+7du3CP//5Tzg4OEjXqjg5OcHOzs5iY3NwcGj2mu3WrRt69uxp8mvf5HjeOkM/IkdcnaEPaU9sb775Jj7++GPMnTsXa9asQVlZGZKSkhAfHy+9jxISEhAeHo6UlBRER0djz549yMnJMXnf31UxX1tevgaYsy0xZzNfW16+lis2S+1HTJazW70QnaSvy9e/xcXFCSGEiIuLE+Hh4S3ub+g6KiGE+Ne//iUCAgKEra2tGDhwoEhNTZUngOeQI7bKykqRkJAgfHx8hFqtFn379hUrVqwQtbW18gWip61xrVu3TvTr10+o1Wrh7OwsIiIixLFjx5odd9OmTcLHx0fY2NiI0NBQcebMGRNF9IwcsRk6HgCxY8cO0wUm5HvemjLXNWJyxWbufkSOuDpDHyJE+/rHH374QURGRgo7Ozvh5eUlEhMTpWvDGn377bdiwIABwsbGRgwZMkQcPHjQRBF1fczX4S3u31nztRDM2ZaYs5mvw6X6lpKvhWDONkfOVgghROuG50RERERERETUFrymm4iIiIiIiEgmHHQTERERERERyYSDbiIiIiIiIiKZcNBNREREREREJBMOuomIiIiIiIhkwkE3ERERERERkUw46CYiIiIiIiKSCQfdRERERERERDLhoJuIiIiIiIhIJhx0ExEREREREcmEg26iLigiIgKLFi0ydzMk7W3P/fv34eLiglu3bhm9TfpmzZqFlJQU2c9DRETUiPm67ZivyRJx0E3UTtu2bYODgwOePHkilT169AjW1taIiIjQqZuZmQmFQoH//ve/Jm6laRn7j4e1a9di6tSp8PX1NdoxW7Jy5UqsXbsWFRUVsp+LiIhMh/m6OeZrItPioJuoncaPH49Hjx4hJydHKsvKyoKbmxvOnj2LmpoaqTwjIwM+Pj7o16+fOZpqkR4/foyvvvoK8+bNM8n5AgIC0K9fP/z97383yfmIiMg0mK/lxXxN9GIcdBO1k7+/P9zd3ZGZmSmVZWZmYurUqfDz88OZM2d0ysePHw8AOHLkCMaOHYuXXnoJPXv2xOTJk3U+UU9NTYWHhwe0Wq3O+aZOnYr4+HgAgFarRXJyMvz8/GBnZ4ehQ4fiH//4R4ttbU39iIgILFy4EO+99x6cnZ3h5uaGDz/8UKfOw4cPERMTg27dusHd3R2fffaZ9Gn5b3/7Wxw/fhyff/45FAoFFAqFzjIzrVb73GPrO3ToEGxtbTFq1Cid8pMnT8La2lrnj6Rbt25BoVDg9u3b0v19+/Zh3LhxsLOzQ0hICAoLC5GVlYVRo0bB3t4eEydOxIMHD3SOPWXKFOzZs+e57SIiIsvCfM18TWRuHHQTdcD48eORkZEhPc7IyEBERATCw8Ol8urqapw9e1ZK4lVVVUhMTEROTg7S09OhVCrx+uuvS0l7+vTpuH//vs5xf/75Zxw5cgQxMTEAgOTkZOzcuRPbtm3DlStXsHjxYsTGxuL48eMG29na+n/729/QrVs3nD17FuvXr8dHH32EtLQ0aXtiYiJOnTqF7777DmlpacjKysLFixcBAJ9//jnCwsLw9ttv4+7du7h79y68vb1bfWx9WVlZGDFiRLPyvLw8DBo0CGq1WirLzc1Fjx490KdPH+Tn5wMAtm7dik8++QTZ2dkoKSlBbGwsPv30U2zevBkZGRnIz8/Hjh07dI4dGhqKc+fOoba2tsV2ERGR5WG+Zr4mMitBRO22fft20a1bN1FfXy8qKyuFlZWVKC0tFbt27RLjxo0TQgiRnp4uAIjbt28bPMa9e/cEAHHp0iWpbOrUqSI+Pl56/MUXXwgPDw+h0WhETU2NsLe3F9nZ2TrHmTdvnpg9e7YQQojw8HCRkJAghBCtqt+4z9ixY3XqhISEiPfff18IIURlZaWwtrYWe/fulbY/ePBA2NvbS+dqet6mXnRsQ/R/B43eeustMWfOHJ2yVatWiYiICCGEEB9++KFwdnYWZWVl0vbY2Fjh6+srqqqqpLLXXntNvPfeezrHyc/PFwDErVu3WmwXERFZHuZr5msic+JMN1EHREREoKqqCufPn0dWVhYGDBiA3r17Izw8XLpOLDMzE3379oWPjw8A4Pr165g9ezb69u0LR0dH6UtHCgsLpePGxMRg37590ie4X3/9NWbNmgWlUokbN27g8ePHmDRpErp37y7ddu7cafCLX9pS/5VXXtF57O7ujtLSUgDAzZs3UV9fj9DQUGm7k5MT/P39W/W7et6xDamurtb5dLxRXl4egoKCdMpyc3Olsvz8fLz++uvo2bOntL2wsBAzZ86Evb29Tpmfn5/Ocezs7AA0XJ9GRERdB/M18zWROVmZuwFEluzll1+Gl5cXMjIyUF5ejvDwcACAh4cHvL29kZ2djYyMDEyYMEHaZ8qUKejTpw+2b98uXQsWEBCAuro6nTpCCBw8eBAhISHIysrCZ599BqDhG1cB4ODBg/D09NRpj62tbbM2tqW+tbW1zmOFQtHsWrX2auuxe/XqhfLycp0yjUaDy5cvY9iwYTrlFy9exG9+8xsADUl+2bJlOtvz8/OxePFi6XFNTQ0KCgowdOhQnXo///wzAKB3796tjIqIiCwB83XrMV8TGR8H3UQdNH78eGRmZqK8vBxJSUlS+bhx43D48GGcO3cOv//97wE0/B/LgoICbN++Hb/61a8ANHzRiD61Wo033ngDX3/9NW7cuAF/f38MHz4cADB48GDY2tqisLBQ+qPhedpavyV9+/aFtbU1zp8/L80CVFRU4Nq1axg3bhwAwMbGBhqNpt3naGrYsGHNvpm0oKAANTU18PDwkMpOnz6NoqIiBAUFobKyErdu3dJJ8j/++CMqKip0yi5dugQhBAIDA3WOf/nyZXh5eaFXr15GiYGIiDoP5mvmayJz4aCbqIPGjx+P+fPno76+XidJhoeHY8GCBairq5O+lKVHjx7o2bMnUlNT4e7ujsLCQixdutTgcWNiYjB58mRcuXIFsbGxUrmDgwOWLFmCxYsXQ6vVYuzYsaioqMCpU6fg6OiIuLg4neO0tX5LHBwcEBcXh6SkJDg7O8PFxQWrV6+GUqmEQqEAAPj6+uLs2bO4desWunfvDmdnZyiV7buKJSoqCsuWLUN5eTl69OgBoOFTcQDYtGkTFi5ciBs3bmDhwoUAgLq6OuTn50OlUiEgIEA6Tl5eHpydndGnTx+dsn79+qF79+4658zKysKrr77arvYSEVHnxnzNfE1kLrymm6iDxo8fj+rqarz88stwdXWVysPDw/Hw4UPpX5UAgFKpxJ49e3DhwgUEBARg8eLF+NOf/mTwuBMmTICzszMKCgrw5ptv6mz7+OOP8cEHHyA5ORmDBg3Ca6+9hoMHDza75qm99VuyYcMGhIWFYfLkyYiMjMSYMWN0vpl0yZIlUKlUGDx4MHr37q1z3VtbBQYGYvjw4fj222+lsry8PERFReHmzZsIDAzEihUrsGbNGjg6OuLPf/4z8vPz4e/vr3NtWX5+frPlbfn5+c2WqtXU1ODAgQN4++23291mIiLqvJivma+JzEUhhBDmbgQRWaaqqip4enoiJSUF8+bNM/rxDx48iKSkJFy+fBlKpRJRUVEICQnBH//4R6Ofa+vWrdi/fz+OHj1q9GMTERGZE/M1kXlxeTkRtVpubi6uXr2K0NBQVFRU4KOPPgIATJ06VZbzRUdH4/r16ygqKoK3tzfy8/MRHx8vy7msra2xadMmWY5NRERkSszXRJ0LZ7qJqNVyc3Px1ltvoaCgADY2NhgxYgQ2bNjQ7AtO5FBcXAx3d3dcuXIFgwcPlv18RERElor5mqhz4aCbiIiIiIiISCb8IjUiIiIiIiIimXDQTURERERERCQTDrqJiIiIiIiIZMJBNxEREREREZFMOOgmIiIiIiIikgkH3UREREREREQy4aCbiIiIiIiISCYcdBMRERERERHJhINuIiIiIiIiIplw0E1EREREREQkEw66iYiIiIiIiGTy/yXQpqlYPSs7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 5))\n",
    "T1 = sim_data[\"flux1\"].flux\n",
    "T2 = sim_data[\"flux2\"].flux\n",
    "\n",
    "plt.sca(ax1)\n",
    "plt.plot(ldas, T1, ldas, T2)\n",
    "plt.xlim(1.45, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Transmission\")\n",
    "plt.legend((\"Wide waveguide\", \"Narrow waveguide\"))\n",
    "\n",
    "plt.sca(ax2)\n",
    "mode_amp = sim_data[\"mode2\"].amps.sel(direction=\"+\")\n",
    "mode_power = np.abs(mode_amp) ** 2 / T2\n",
    "plt.plot(ldas, mode_power)\n",
    "plt.xlim(1.45, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Power share at Port1 (%)\")\n",
    "plt.legend([\"TE0\", \"TM0\"])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d9e93c9",
   "metadata": {},
   "source": [
    "Simulation results from the two cases confirm that we can use this device to separate the TE and TM polarizations as well as convert the TM polarization to TE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bdfb1458",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "language": "python",
   "name": "python3"
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       "layout": "IPY_MODEL_d1af8e2a5bb640b683142ebdeab486b3",
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       "outputs": [
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