{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Tutorial 6: truncate computational domain with PML\n",
        "\n",
        "In this notebook, we show how to measure the parasitic reflection from\n",
        "the perfectly matched layer (PML) boundary in order to benchmark the\n",
        "performance of PML. As a simple illustration, we consider a 1D system\n",
        "where a time monitor is placed between a broadband planewave source and\n",
        "PML boundary. By visualizing the evolution of the field at the time\n",
        "monitor, one can clearly distinguish between the incident pulse passing\n",
        "through the time monitor and the reflected pulse. A subsequent Fourier\n",
        "analysis can tell the reflection amplitude at the PML boundary over a\n",
        "broad range of frequencies.\n",
        "\n",
        "Finally, taking Fabry-Perot cavity as an example, we illustrate the\n",
        "impact of reflection from PML.\n",
        "\n",
        "## Setup\n",
        "\n",
        "First we import Tidy3d and the other packages needed. If it is not\n",
        "installed, please perform the installation and account authentication by\n",
        "following the detailed instructions\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/stable/quickstart.html)."
      ],
      "id": "01aef86b-1770-4eab-a1ac-75a08fe8a6e6"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# standard python imports\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "from tidy3d import web\n",
        "\n",
        "td.config.logging.level = \"ERROR\"\n",
        "td.config.local_cache.enabled = False"
      ],
      "id": "61ea034d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next, let us define some key parameters."
      ],
      "id": "e1b02159-22a0-4508-9925-43ea52a0f254"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# The setup of the 1D simulation:8\n",
        "\n",
        "# |     |          |        |            |         |            |     |\n",
        "# |`PML`|   dPML   |`source`|  distance  |`monitor`|  distance  |`PML`|\n",
        "# |     |          |        |            |         |            |     |\n",
        "\n",
        "# Number of PML layers\n",
        "Npml = 6  # the default number of layers is 12\n",
        "\n",
        "# sufficiently large distance between the source and the time monitor\n",
        "distance = 100  # um\n",
        "# distance between the source and PML\n",
        "dPML = 1  # um\n",
        "\n",
        "# Wavelength and frequency range of the source\n",
        "freq0 = 300e12  # Hz, central frequency\n",
        "fwidth = freq0 / 5  # frequency pulse width\n",
        "lambda0 = td.C_0 / freq0\n",
        "\n",
        "# resolution\n",
        "resolution = 20\n",
        "dl = lambda0 / resolution\n",
        "\n",
        "# runtime\n",
        "t_stop = 1e-11\n",
        "\n",
        "# simulation domain size\n",
        "sim_size = Lx, Ly, Lz = (dl, dl, 2 * distance + dPML)"
      ],
      "id": "13eed443"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Create Simulation"
      ],
      "id": "b301c261-5b02-403e-b2aa-c323c24671e9"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Uniform grid\n",
        "grid_spec = td.GridSpec.uniform(dl=dl)\n",
        "\n",
        "# Planewave source\n",
        "src_z = dPML - Lz / 2\n",
        "source = td.PlaneWave(\n",
        "    center=(0, 0, src_z),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    source_time=td.GaussianPulse(\n",
        "        freq0=freq0,\n",
        "        fwidth=fwidth,\n",
        "    ),\n",
        "    direction=\"+\",\n",
        "    name=\"Gaussian pulse\",\n",
        ")\n",
        "\n",
        "# Time monitor at a single point\n",
        "tmnt_pt = td.FieldTimeMonitor(\n",
        "    center=(0, 0, src_z + distance),\n",
        "    name=\"time\",\n",
        "    size=(0, 0, 0),\n",
        "    interval=1,\n",
        ")\n",
        "\n",
        "# PML boundary\n",
        "pml = td.Boundary.pml(num_layers=Npml)\n",
        "bspec = td.BoundarySpec(x=td.Boundary.periodic(), y=td.Boundary.periodic(), z=pml)"
      ],
      "id": "3d20bab8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now it is time to define the simulation object."
      ],
      "id": "d59819b7-857c-4ba9-ab97-de0ea85e7ff2"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim = td.Simulation(\n",
        "    center=(0, 0, 0),\n",
        "    size=sim_size,\n",
        "    grid_spec=grid_spec,\n",
        "    structures=[],\n",
        "    sources=[source],\n",
        "    monitors=[tmnt_pt],\n",
        "    run_time=t_stop,\n",
        "    boundary_spec=bspec,\n",
        "    shutoff=0,\n",
        ")"
      ],
      "id": "fc510924"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Run the Simulations"
      ],
      "id": "8a9e2491-c9f3-4830-90ce-d1879c00a59e"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:18:19 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'lecture06_pml_reflection'</span> with resource_id           \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-2fcef6a3-8cc5-4642-a353-f2fbefe0bd83'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
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        {
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          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fcef6a3-8cc5-4642-a353-f2fbefe0bd83\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fcef6a3-8cc</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fcef6a3-8cc5-4642-a353-f2fbefe0bd83\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">5-4642-a353-f2fbefe0bd83'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"698ffaeeb7de40a7ac3149b0b1c74681\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:18:20 UTC </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"b8b5d701c2404bb9b0d681bc3386311e\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:18:40 UTC </span>starting up solver                                                 \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"ad0665ff8e244610b4d3410049c7eb0f\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:18:43 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">41</span>%, exiting.                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fcef6a3-8cc5-4642-a353-f2fbefe0bd83\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fcef6a3-8cc</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2fcef6a3-8cc5-4642-a353-f2fbefe0bd83\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">5-4642-a353-f2fbefe0bd83'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"5cb938c255224cdbaaa150dc711dcbeb\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Loading results from data/data_pml_reflection.hdf5                 \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = web.run(\n",
        "    sim, task_name=\"lecture06_pml_reflection\", path=\"data/data_pml_reflection.hdf5\"\n",
        ")"
      ],
      "id": "156202c8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Post Run Analysis\n",
        "\n",
        "We visualize the time evolution of the field at the monitor plane. Two\n",
        "pulses are clearly visible in the figure. The amplitude of the pulse\n",
        "appearing first is much larger than the one appearing later. To identify\n",
        "the pulses, we compute analytically the time it takes for the center of\n",
        "the pulse to reach the monitor (red dashed line) and for it to get\n",
        "reflected and reach the monitor again (blue dashed line)."
      ],
      "id": "69189b73-e05d-4ecd-9795-5ad164511936"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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          }
        }
      ],
      "source": [
        "plt.rcParams.update({\"font.size\": 16})\n",
        "fig, ax = plt.subplots(1, figsize=(7, 4), tight_layout=True)\n",
        "\n",
        "speed = td.C_0\n",
        "time_reach_monitor = source.source_time.offset / fwidth / 2 / np.pi + distance / speed\n",
        "time_reflection = time_reach_monitor + 2 * distance / speed\n",
        "ax.vlines(time_reach_monitor * 1e12, -600, 600, colors=\"r\", linestyle=\"dashed\")\n",
        "ax.vlines(time_reflection * 1e12, -600, 600, colors=\"b\", linestyle=\"dashed\")\n",
        "\n",
        "time_data = sim_data[\"time\"]\n",
        "Ex = time_data.Ex\n",
        "Ex_values = np.squeeze(Ex.values)\n",
        "\n",
        "ax.plot(Ex.t * 1e12, Ex_values)\n",
        "ax.set_xlabel(\"time (ps)\")\n",
        "ax.set_ylabel(\"$E_x$\")\n",
        "ax.set_xlim(0, 1.5)\n",
        "ax.set_ylim(-600, 600)\n",
        "plt.show()"
      ],
      "id": "b25ab533"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now to compute the reflection amplitude across the frequency range\n",
        "spanned by the Gaussian source, let’s perform Fourier analysis."
      ],
      "id": "2d3c914d-9162-4797-8b02-35f549a49e12"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# First, let's select two time intervals of equal length. The first interval\n",
        "# completely contains the original incident pulse, and the second interval\n",
        "# completely contains the reflected pulse. We take the former to\n",
        "# be [0,time_reach_PML), and the latter to be [time_reach_PML,2*time_reach_PML)\n",
        "\n",
        "time_reach_PML = source.source_time.offset / fwidth / 2 / np.pi + 2 * distance / speed\n",
        "inds = np.argwhere(np.array(Ex.t) >= time_reach_PML)\n",
        "Nt = int(inds[0].item())"
      ],
      "id": "84ccd2e7"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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7NPkTY8aM0Sg7d+6cXm1YWlpWaBR/yTufgep1jqhSqZCbm6v1rhQHBwfRsfHx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DZl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\nAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# Now let's perform FFT in each interval, and visualize the spectrum\n",
        "dt = sim.dt\n",
        "df = 1 / Nt / dt\n",
        "fmesh = np.arange(0, Nt) * df\n",
        "\n",
        "# original pulse\n",
        "spectrum_original = (\n",
        "    1 / np.sqrt(2 * np.pi) * np.fft.ifft(np.fft.ifftshift(Ex_values[:Nt])) / df\n",
        ")\n",
        "# reflected pulse\n",
        "spectrum_reflection = (\n",
        "    1 / np.sqrt(2 * np.pi) * np.fft.ifft(np.fft.ifftshift(Ex_values[Nt : Nt * 2])) / df\n",
        ")\n",
        "\n",
        "# visualization of each spectrum\n",
        "fig, ax = plt.subplots(1, 2, figsize=(8, 4), tight_layout=True)\n",
        "ax[0].plot(fmesh / 1e12, np.abs(spectrum_original), label=\"Original\")\n",
        "ax[0].plot(fmesh / 1e12, np.abs(spectrum_reflection), label=\"Reflected\")\n",
        "ax[0].set_xlim((freq0 - fwidth) / 1e12, (freq0 + fwidth) / 1e12)\n",
        "ax[0].set_ylim(0, 8e-13)\n",
        "ax[0].set_xlabel(\"Frequency (THz)\")\n",
        "ax[0].set_title(\"Spectrum\")\n",
        "ax[0].legend()\n",
        "\n",
        "# visualization of reflection spectrum\n",
        "ax[1].plot(fmesh / 1e12, np.abs(spectrum_reflection / spectrum_original))\n",
        "ax[1].set_xlim((freq0 - fwidth) / 1e12, (freq0 + fwidth) / 1e12)\n",
        "ax[1].set_yscale(\"log\")\n",
        "ax[1].set_ylim(1e-6, 1)\n",
        "ax[1].set_title(\"Reflection amplitude\")\n",
        "ax[1].set_xlabel(\"Frequency (THz)\")\n",
        "plt.show()"
      ],
      "id": "c6becac2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Impact of Parasitic PML Reflection to Fabry-Perot Cavity Simulation\n",
        "\n",
        "Finally, let’s examine the impact of parasitic reflection from PML\n",
        "boundary to a simple Fabry-Perot cavity transmission simulation\n",
        "illustrated in our previous Lecture 2. Most setups are similar, so\n",
        "please checkout the link\n",
        "[here](https://www.flexcompute.com/fdtd101/Lecture-2-Using-FDTD-to-Compute-a-Transmission-Spectrum/)\n",
        "for more detailed explanations."
      ],
      "id": "b8f39dad-4c13-45a9-9e02-93df238a9e65"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Wavelength and frequency range\n",
        "freq_range = (200e12, 400e12)\n",
        "lambda_range = (td.constants.C_0 / freq_range[1], td.constants.C_0 / freq_range[0])\n",
        "freq0 = np.sum(freq_range) / 2\n",
        "\n",
        "# frequencies and wavelengths of monitor\n",
        "Nfreq = 301\n",
        "monitor_freqs = np.linspace(freq_range[0], freq_range[1], Nfreq)\n",
        "monitor_lambdas = td.constants.C_0 / monitor_freqs\n",
        "\n",
        "# central frequency, frequency pulse width and total running time\n",
        "lambda0 = td.C_0 / freq0\n",
        "bandwidth = 0.4  # bandwidth of source in units of delta frequency.  0.38 for broadband\n",
        "\n",
        "freqw = bandwidth * (freq_range[1] - freq_range[0])\n",
        "t_stop = 1000 / freq0\n",
        "\n",
        "# Thickness and refractive index of slab\n",
        "t_slab = 0.5\n",
        "n_slab = 3.5\n",
        "mat_slab = td.Medium(permittivity=n_slab**2, name=\"silicon\")\n",
        "\n",
        "# Grid resolution (cells per um)\n",
        "dl = 6e-3\n",
        "\n",
        "# space between slabs and sources and PML\n",
        "spacing = 16 * lambda_range[-1]\n",
        "\n",
        "# simulation size\n",
        "sim_size = Lx, Ly, Lz = (dl, dl, 2 * spacing + t_slab)"
      ],
      "id": "6f6ef819"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Analytical Method"
      ],
      "id": "0faa6007-2646-47d2-b0be-44b204c44910"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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2tCs/IlIOi0UiIp0xmUz466+/hLbLLruszedLSkoSVlHNz8/HqVOn2nw+ItI3+cOoQYMG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\nEYcOHUJOTg4uXLiAmpoa6XVxcXGNHt+e9+Xu7o5HH30Ujz7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hgSuuuEJo+/zzz1t1bElJ\nCX788UehbcqUKVbLraHrr79eiJcvX97qY9PS0nDgwAGhbezYsVbJi0gvjEYjexY1wM3NDV26dBHa\n5AsPObqG2xEZjUakp6cjMzMTJSUlXKxDw7hthjawWCRrMBqNKC4uRmZmJtLT06XP3oCAAIvXDdEa\njndog/vvvx9Lly6V4i+//BJz5sxBp06dmj3uv//9r/DEd+DAga1ayKctbr/9drz00ksoKSkBAKxZ\nswb79u1D//79Wzz2zTffFG4wOnfujCFDhtgkTyKtSk1NFW7mgoOD0aFDBxUzclzx8fE4deqUFB87\ndgwDBgxQMSNtMRgM6NixIwCgqKgIJpMJpaWl0nwZZ2dnODs7s9dKY+Rbb5WXl+PMmTMqZeO45Gs0\nlJeXIzk5mf9eqFVMJhPq6uoaXRskICAAHTt21P3vkmaKxZqaGuTl5aG4uBjl5eVt3sSyZ8+e8PLy\nsnJ2ojFjxmD8+PFYs2YNgIsTWGfNmoXffvsNrq6ujR6za9cuzJ07V2h77bXXWvwFOnLkiNmqr88/\n/zxCQkKaPS4kJARPPvkknn76aQAXn3jMnDkTmzdvNlvptKHly5fj/fffF9qefvppzqMgh3PkyBEh\n7tmzp+4/8PWqR48ewp66R48eVTEbbaovGN3d3VFcXCz0jjR1I0Pqys/PR1VVlRR36NCBnzEqMJlM\nOH/+vHDf6e7uzoX9qM08PDzg7++PwMBAu/g3rWoFcOzYMSxcuBDr1q3D4cOHUV1d3e5z7tq1q8U9\nHK3hrbfewqBBg6T/kNesWYOrrroKH3/8MWJjY6XXGY1GLFmyBHfffbfw/q699lpcfvnlLV4nJSUF\n7733ntA2e/bsFovF+td988030o3V0aNHMXz4cHz00Ue47LLLhNdWV1fj7bffxjPPPCN8YF5++eWY\nNWtWi9cisjfygqSxVYZJGfKfvbyQp4sMBgOCgoIQFBSE6upqlJSUoKKiAnV1dRyOqjEmkwl79+4V\nVuG8+uqr4e7urmJWjis1NRWFhYVSHBAQwJEk1GpOTk5wdnaGl5cXfH19db2YTWNUKRaLiorw2GOP\n4bPPPlPj8lbRq1cvfPHFF7j55pul/4TXrVuHbt264dJLL0VcXBxKSkqwd+9epKSkCMf27dsXX3zx\nhc1z9PT0xC+//IKRI0ciKysLwMUCfcSIEYiPj8eAAQPg4+OD7OxsbNq0SRqy2vA9fv/993y6Rg6p\nsZ5FUof8Z8+exZa5ubm16qEiqSMrKwuPPfaYFHt7e2POnDl20QuhRxs3bsR3330nxR988AH+8Y9/\nqJgRkXYoXiwWFxdj7Nix2Lt3r9KXtrrp06fD09MTt99+O4qKigBcHO6zadMmbNq0qdFjJkyYgEWL\nFkmLEdha165dsXXrVkybNg27du2S2k+cONHsfmXXX389vvjiC6tv60GkF+xZ1I4ePXoIcXJyMvdC\nI12T79Hco0cPFooqkn/GcIseor8pXiw+9NBDjRaKgYGB6NGjB4KCgoStKSzV3Hw8W5g8eTKOHz+O\n1157DV999RUKCgoafd0ll1yCRx55BDfeeKOi+QFATEwM/vrrL3z11Vd45513mizUPT09MWbMGMyZ\nM8dsmCqRIzEajWY3cywW1ePj44OYmBikpqYCuPj3c/z4cfTr10/VvIjaSv4wiiMX1JWQkCDELBaJ\n/qZosXj8+HF88803Qtv06dPx8MMP22xVUCWEhYVh/vz5mDdvHg4cOICTJ0+iqKgIrq6uCA8PR//+\n/REeHt6mc/fq1QvvvPOO0BYaGmrxeZycnHD77bfj9ttvR3Z2Nvbv34+srCzU1dUhKCgI4eHhSEpK\n4nwJIlzcPqbhysVBQUGcv6KyxMREqVgELg4TZrFIetVYzyKph8UiUdMULRZ//vlnYfGU999/H/fd\nd5+SKdiUs7MzBgwYYNUl3WNiYvDggw9a7XwAEB4e3ubilcgRyOcrJiYmcoiYynr27IkVK1ZIMect\nkp6xZ1FbunXrBoPBIN2jpqWloaysjFNxiAA4KXmx3bt3S19PmDDBrgpFIrIfXNxGe7giKtkTebHI\nnkV1eXh4IC4uTmiT9/4SOSpFi8W8vDzp6xkzZih5aSKiVuPiNtrDYpHsRX5+vnA/5O7uLmy5Rero\n1auXEPMzhugiRYtFJ6e/L9elSxclL01E1GrsWdSexlZEraioUCkboraT91jFx8fDxUXVba8J5g+k\nDh8+rFImRNqiaLHYqVMn6euGG9QTEWkFV0LVJm9vb8TExEixyWRqdvsfIq3iEFRtkvcsslgkukjR\nYrHhDVdycrKSlyYiahX5SqiBgYEICwtTMSOqx6GoZA/kD6M4ckEbOAyVqHGKFos33XSTtKLg8uXL\nlbw0EVGrNDZfkSuhagOLRbIHXAlVm7p37y4MB87MzERRUZF6CRFphKLFYufOnTFp0iQAwIoVK7Bt\n2zYlL09E1CLOV9QuFotkD7jHoja5ubmhe/fuQhs/Y4gULhYB4N1330VoaChMJhOuu+46zjkhIk3h\nSqjaJS/cudci6U1JSQkyMzOl2NnZGd26dVMxI2qI8xaJzCleLEZFRWHlypUIDg7GuXPnkJSUhPnz\n56O0tFTpVIiIzMifJLNY1A6uiEp6J+9V7Nq1K9zc3FTKhuQ4b5HInOJrNS9btgy5ubm46667MG/e\nPJSVleGRRx7Bs88+i8suuwz9+/dHcHAwvLy82nT+6667DqGhoVbOmogcgdFo5HwiDfP29kZsbCxS\nUlIAXFwR9fjx4+jfv7/KmRG1Dhe30Tb2LBKZU7xYfPXVV7Fnzx6z9rKyMqxcuRIrV65s1/mTkpJY\nLBJRm6Snp5uthNqxY0cVMyK5xMREqVgELj75Z7FIesGHUdrGvRaJzCk+DJWISKsaW9yGK6FqC+ct\nkp4dOnRIiFksaktcXBzc3d2lOC8vD7m5uSpmRKQ+FotERP+Pi9toH1dEJT07ePCgEPfu3VulTKgx\nzs7OZgU8P2PI0Sk+DPX+++9HVlaWzc4fGRlps3MTkX3jthnax2KR9KqgoEC4/3F1dUV8fLyKGVFj\nEhMTsW/fPik+fPgwRo8erWJGROpSvFi88847lb4kEVGrsGdR+3r06AGDwQCTyQQAOHPmDMrLy9u8\nKBqRUuRDUBMSErgSqgZxkRsiEYehEhGBK6HqhZeXF2JiYqTYZDJxv17SBfkQ1D59+qiUCTWH22cQ\niVgsEhHh4kqoFy5ckOKAgACEh4ermBE1hUNRSY/kPYucr6hNjfUs1o9kIHJELBaJiMCVUPWExSLp\nEXsW9SE6Oho+Pj5SXFxcjLNnz6qYEZG6WCwSEQE4cOCAEPOpv3ZxLzTSG6PRaPZ7ys8YbTIYDHwg\nRdQAi0UiIpg/9e/bt69KmVBL5MPE5MP7iLQmJSVFGOYeGBjI1ds1jIvcEP1N8dVQW6uyshK1tbUW\nH+fl5QUnJ9bARGQZec8ii0Xt6tGjB5ydnVFXVwcASEtLQ1FREQICAtRNjKgJjc1X5DB37eLoBaK/\nqV4sVlRUYOnSpdi8eTP27NmDtLQ0FBcXo6ampk3n27VrF5KSkqycJRHZs4qKCpw8eVJo4xAx7fLw\n8EBCQoIwNOzgwYMYMWKEilkRNY3zFfWFK6IS/U21YrG6uhovvvgi3nvvPRQVFamVBhERjhw5AqPR\nKMVdunSBr6+vihlRS/r27SvcwB04cIDFImkWV0LVl8aKRaPRyJFr5JBU+a0/e/YsBg4ciFdeeYWF\nIhGpTj4ElU/9tU8+TFj+d0ikJexZ1JeOHTsiKChIisvLy5GamqpeQkQqUrxnsaysDBMnTmx0/HdY\nWBiCg4ORkpKCiooKAED37t1hMBhw/vx55Ofnmx0TExMDf39/Kfby8rJd8kRkl7i4jf7I/47kf4dE\nWlFeXo7Tp08LbfI5caQt9Suibt68WWo7fPgwunTpomJWROpQvGfxtddeE54ABwQE4JVXXkF6ejrO\nnTuHI0eOoGfPntL3v/32Wxw/fhx5eXnIysrCl19+KcxJrK2txaeffor9+/dj//79wrFERK3BnkX9\nkf8dHT58WFrwhkhLjh49ymHuOiQfisoHUuSoFC0Wi4uL8b///U+Ko6OjsXPnTjz99NOIiopq8fjw\n8HDceuut2LlzJ9555x24uroiMzMTY8aM4dLpRNQmJpOJPYs61LFjR4SGhkpxRUUFTp06pWJGRI3j\nfEV96tevnxDv379flTyI1KZosbhhwwaUlpZK8eLFi9GtWzeLz2MwGPDggw/iq6++AgCUlpbixhtv\nbPMKqkTkuDIzM1FYWCjFPj4+iI2NVTEjag2DwcB5i6QLnK+oTywWiS5StFjcuHGj9PUVV1yBIUOG\ntOt806dPx/Tp0wEAx44dw9KlS9t1PiJyPPIbud69e3PFO51gsUh6wJ5FferVq5fwf0FycjJKSkpU\nzIhIHYreEaWlpUlfX3XVVa06pqXewkcffVT6evHixW1LjIgclrzA4BBU/eAiN6QH7FnUJy8vL8TH\nxwtt/IwhR6RosXj+/Hnp64SEhCZf5+Ly9yKtlZWVzZ5z4MCB0mqoq1evbmeGRORouLiNfrFnkbQu\nJycHeXl5Uuzh4YGuXbuqmBFZgkNRiRQuFmtra6Wvm1sJzMfHR/o6Nze32XMaDAZEREQAuLjAQcO5\nR0RELeHiNvqVkJAAV1dXKc7MzERBQYGKGRGJ5J8viYmJcHZ2VikbshSLRSKFi8WAgADp67KysiZf\n5+fnJ32dnp5u0TXOnTtncV5E5JgqKipw8uRJoY3zifTDzc0NPXr0ENrYu0hawvmK+sZikUjFYjE/\nP7/J1zUcorF79+5mz1lTU4PU1NT2pkZEDujIkSPc/0znOBSVtIzzFfVN/vly+PBhrrxPDkfRYjEw\nMFD6urlJwg2fvK1Zswbl5eVNvnbFihWoqKiQ4ob7bhERNYfzFfWPi9yQlrFnUd/CwsIQHh4uxVVV\nVThx4oSKGREpT9FiMSYmRvp6x44dTb7u8ssvl5YrLioqwosvvtjo6/Ly8vDII48I5w8JCbFOskRk\n9zhfUf/Ys0haVVNTgyNHjghtLBb1h0NRydEpWiw2/E9906ZNwuqoDYWHh2PUqFFS/Prrr+Pmm2/G\n5s2bce7cOaSlpWHhwoW45JJLkJKSIr3u2muvtVXqRGSHuG2G/sn/zo4cOSIspkaklmPHjqGqqkqK\nw8PDERYWpmJG1BYsFsnRqVYs1tbW4ttvv23ytS+//LIQL1q0CCNGjEB4eDhiYmJwxx13CHMVvb29\n8fDDD1s9ZyKyTyaTicNQ7UBoaCg6duwoxRwmRlqxd+9eIR4wYIBKmVB7sFgkR6dosdihQwfhqdqb\nb76J6urqRl87dOhQ/Pvf/27VeQ0GAz788ENER0dbJU8isn+ZmZkoKiqSYh8fH8TGxqqXELUZh6KS\nFrFYtA+NFYsmk0mdZIhUoGixCFwcIpSdnY3s7Gzs2rVLmpvYmJdffhmvv/46PD09m3xNSEgIlixZ\ngpkzZ9oiXSKyU/KConfv3s1+HpF2sVgkLWKxaB/i4uLg7e0txefPn8fZs2dVzIhIWS5KXzA4ONii\n1z/xxBO4+eab8cMPP2DLli3SPoqdOnXCmDFjcNNNNwn7MhIRtQYXt7EfXBGVtKaurs5suCKLRX1y\ndnZGnz59sH37dqlt//796NSpk4pZESlH8WKxLSIjI/Hwww9zTiIRWc2+ffuEmPMV9Ys9i6Q1p06d\nwoULF6Q4ODgYUVFRKmZE7dGvXz+zYvHqq69WMSMi5XDMFRE5pD179ggxn/rrV3x8PNzc3KQ4Ozsb\nubm5KmZEjq6xIagGg0GlbKi9uMgNOTJFexZ37tyJkpISmEwmmEwmjBw5Eu7u7kqmQESEgoICYdud\n+mFGpE8uLi7o3bu38ABgz549uPLKK1XMihwZ5yvaFxaL5MgU7Vm8//77MW7cOIwfPx7z5s1joUhE\nqpDfyCUmJja7kBZpX1JSkhDv3r1bpUyIWCzam169egkLoCUnJ6OkpETFjIiUo2ix2PAf2o033qjk\npYmIJPJCQl5okP7I/w7lw4yJlGIymVgs2hkvLy/Ex8cLbVxIixyFosViYGCg9HVcXJySlyYiksgL\niYEDB6qUCVmL/O+QPYuklpSUFBQXF0uxn58funTpomJGZA0cikqOStFiMTw8XPq6rq5OyUsTEUnY\ns2h/EhMThakNZ8+elbZaIlKSvFexf//+3MPVDrBYJEel6KdXjx49pK+Tk5OVvDQREYCLGyqnpqZK\nsYuLCxe3sQNubm5mW2hwKCqpgUNQ7ZO8WJT/PRPZK0WLxRtuuEH6etmyZUpemogIQOOL23h4eKiU\nDVkTh6KSFrBYtE/yv8dDhw6hsrJSpWyIlKNosdilSxeMHDkSALB69WqsW7dOycsTEXEIqh3jIjek\nNi5uY79CQkIQExMjxbW1tRyKSg5B8UH07777Lry9vQEA06ZNw44dO5ROgYgcGBe3sV/sWSS1nT17\nFnl5eVLc2CqapF+DBg0S4l27dqmUCZFyFC8We/XqhWXLlsHb2xuFhYUYPnw4Hn74YZw5c0bpVIjI\nAbFYtF89e/YUhhRnZ2cjKytLxYzI0ch7Ffv16wdnZ2eVsiFrY7FIjshF6QsuW7YMubm5uPvuu/HO\nO++gtrYWb7/9Nt5++2307dsXAwYMQExMDPz8/No0j+i6665DaGioDTInIr3j4jb2zdXVFf369cNf\nf/0lte3ZswcREREqZkWOhENQ7RuLRXJENikWd+7ciZKSEgDA4MGD4evrK33v1VdfbXIeyYEDB3Dg\nwIF2XTspKYnFIhE1Sv7Z06tXLy5uY2cGDhwoFIu7d+/GpEmTVMyIHAmLRfs2cOBAGAwGmEwmAMCJ\nEydQUlICPz8/lTMjsh2bDEO9//77MW7cOIwbNw4nTpywxSWIiCzGIaj2j4vckJpYLNo3X19fJCQk\nSLHJZOJnDNk97hJLRA6DK6HaP/nf6e7du6VeACJbysnJwdmzZ6XYzc0NPXv2VDEjsgUORSVHo/ic\nxfvvv9+mCw5ERkba7NxEpG/sWbR/CQkJ8PT0REVFBYC/b+A7deqkcmZk7+S9in369IGrq6tK2ZCt\nDBo0CF999ZUUs1gke6d4sXjnnXcqfUkiIuTn5yMtLU2KXV1dubiNHXJxcUH//v2xbds2qW3Pnj0s\nFsnmdu7cKcQcgmqf2LNIjobDUInIITS2uI27u7tK2ZAtcb9FUoO8WBw8eLBKmZAt9e3bFy4uf/e1\npKWlCXtrEtkbFotE5BA4BNVxcJEbUprJZDIrFi+55BKVsiFb8vDwMBuVwt5FsmcsFonIIcgLBi5u\nY7+4yA0pLTU1Ffn5+VLs7e2NHj16qJgR2RKHopIjYbFIRA5BPhSRPYv2Kz4+Ht7e3lKcl5eHjIwM\nFTMieyfvVUxKSoKzs7NK2ZCtsVgkR8JikYjsXk5ODtLT06XY1dUVvXv3VjEjsiVnZ2f0799faOO8\nRbIlDkF1LI0Vixy9QPaKxSIR2b0dO3YIcb9+/bi4jZ2TD0WV38wTWROLRcfSs2dPeHp6SnFubi5H\nL5DdsvnWGZmZmQgICLD1ZSRRUVG8CSQigbxY5CqF9k/+d7x9+3aVMiF7V1tbazYnmsWifXNxccGA\nAQOwdetWqW3Xrl2Ijo5WMSsi27B5sThlyhRbX0Kwa9cuLlxBRIK//vpLiIcMGaJSJqSUoUOHCvGu\nXbtQU1PDTdLJ6o4cOYKKigopDgsLQ1RUlIoZkRIGDRpkVixed911KmZEZBschkpEdq2urs5s8QH2\nLNq/6OhohIeHS3FFRQUOHDigYkZkrxobgmowGFTKhpTCRW7IUbBYJCK7duzYMZSWlkpxcHAw4uLi\nVMyIlGAwGMx6FzkUlWxBPnJBXkSQfZL/Pe/evRtGo1GlbIhsh8UiEdm1xuYr8qm/Yxg2bJgQs1gk\nW5D/XskfUpB96tq1q7AmR0lJCU6cOKFeQkQ2YvM5i8uXL1d0ifqIiAjFrkVE2id/6s8hqI6DPYtk\na4WFhTh27JgUGwwGLm7jIOr/rtesWSO1bdu2DT169FAxKyLrs3mxGB4ejpiYGFtfhoioUfKeRS5u\n4zgGDBgAV1dX1NTUAABSU1ORnZ0tzGUkag/5fMVevXrBz89PpWxIaZdeeqlQLG7duhWzZs1SMSMi\n6+MwVCKyW6WlpTh8+LDQxqf+jsPDwwMDBgwQ2ti7SNYk/33iwyjHcumllwpxw9VRiewFi0Uisls7\nd+6EyWSS4vj4eEX3fSX1cd4i2RLnKzq2wYMHw8np71vpkydPIi8vT8WMiKyPxSIR2a1t27YJsbxw\nIPvHeYtkK0aj0WyYO4tFx+Lj44O+ffsKbfyMIXvDYpGI7JZ8SBCLRccjv3nfvXs3qqurVcqG7Mmx\nY8dQXFwsxYGBgejevbuKGZEaOBSV7B2LRSKyS0aj0ewJr/w/dbJ/nTp1QqdOnaS4qqoK+/btUzEj\nshfylZaHDBkiDEkkx8BikewdP9WIyC4dOXIEJSUlUhwYGIj4+HgVMyK1cCgq2QLnKxJgXizu3r0b\nVVVVKmVDZH0sFonILjU2X5FP/R0TF7khW5D3ILFYdExRUVGIioqS4qqqKuzdu1fFjIisi3dORGSX\nOF+R6rFnkawtLy8Px48fl2JnZ2cMHjxYxYxITfL/XzgUlewJi0UiskvynkXOV3Rc/fv3h7u7uxRn\nZGQgMzNTxYxI7+SfL/369YOvr69K2ZDaOG+R7JlNisWPPvoIGzZswIYNGzhHiIgUl5OTg+TkZCl2\ncXHBoEGDVMyI1OTm5oaBAwcKbexdpPbYsmWLEA8fPlylTEgLGisWG+7xS6RnNikWBw4ciFGjRmHU\nqFF80kZEipM/1e3fvz+8vLxUyoa0gENRyZrkxSJHLji2Pn36wNvbW4rz8vKEB5ZEesZhqERkdzZv\n3izEvJEj+Zwi+TBCotYqLy/Hnj17hDZ+xjg2FxcXDBkyRGjjUFSyFywWicjuyIvFyy67TKVMSCvk\nxeKePXtw4cIFlbIhPdu1axdqamqkuEuXLoiIiFAxI9ICLnJD9orFIhHZlZKSErNN11ksUseOHdGt\nWzcprq2tNdtUnag1OF+RGsNFbshesVgkIruyfft2GI1GKe7RowdCQ0NVzIi0YsSIEUK8adMmlTIh\nPWOxSI0ZMmQIDAaDFB89ehQFBQUqZkRkHSwWiciuyAsA9ipSPRaL1F61tbVmPUacr0gA4O/vj969\newttHL1A9oDFIhHZFXkBIC8QyHHJfxf++usvVFVVqZQN6dG+fftQWloqxSEhIejRo4eKGZGWyB8c\nyOfPE+kRi0UishuVlZXYuXOn0MZikep17twZUVFRUlxZWYndu3ermBHpzcaNG4V45MiRwtBDcmzy\nkSzy3xciPWKxSER2Y+fOnaiurpZieXFAjs1gMHAoKrVLY8UiUT3578OuXbtQVlamUjZE1sFikYjs\nBoegUktYLFJb1dXVmQ0rHDVqlDrJkCZFRESYrbrMPV1J71gsEpHd+PPPP4WYi9uQnLxY3LJlC2pr\na1XKhvTkwIEDKC4uluKgoCAkJiaqmBFpkfwBAoeikt6xWCQiu1BVVWW2SuHo0aNVyoa0Kj4+Hh06\ndJDisrIy7NmzR8WMSC8aG4Lq5MTbKBLJi0X5Q0wiveGnHBHZhb/++guVlZVS3KlTJ8TFxamYEWmR\nwWAwu5nbsGGDOsmQrnC+IrWG/Pdi586duHDhgkrZELUfi0UisgvyG/7Ro0dzlUJq1JgxY4R4/fr1\nKmVCemE0Gs3mK7JYpMZERkaia9euUsx5i6R3LBaJyC7Ii0V5QUBUTz48ecuWLcIqukRyBw4cQEFB\ngRQHBASYbcBOVI9DUcmesFgkIt2rqKjAX3/9JbRxviI1pVu3boiIiJDiiooK7NixQ8WMSOv++OMP\nIR49ejScnZ1Vyoa0jkPdyZ6wWCQi3du2bZvQMxQbG4vOnTurmBFpmcFg4FBUsoi8WOTIBWqO/GHl\nzp07UVJSolI2RO3DYpGIdK+x+YpEzZH/jvDJPzWlurrabD/OsWPHqpQN6UFERAR69OghxXV1ddxC\ng3SLxSIR6Z68V4jFIrVE3jO0fft2lJeXq5QNadmOHTuE343w8HAkJCSomBHpgfyBwrp161TKhKh9\nWCwSka4VFxdj586dQhuHiFFLYmJiEBMTI8XV1dVm+3QSAeZDUMeOHcuVlqlFl19+uRDLf4+I9ILF\nIhHp2oYNG1BXVyfFPXv2FBYvIWqK/Mn/mjVrVMqEtKyxYpGoJSNHjoST09+32UeOHMG5c+dUzIio\nbVgsEpGurV27VojHjRunUiakN/LfFfnvElFZWZnZSsssFqk1AgICMGjQIKGNvYukRywWiUjXWCxS\nW8mHEx44cAA5OTkqZkRas3HjRtTW1kpxt27dEBUVpWJGpCfyBwssFkmPWCwSkW6lpaXh1KlTUuzq\n6oqRI0eqmBHpSUhICAYMGCC08WaOGpIPTZbPQyNqjrxYXLt2LUwmk0rZELUNi0Ui0i15r+LQoUPh\n4+OjUjakRxyKSs1ZvXq1EE+YMEGlTEiPhg0bBk9PTynOzMzEsWPHVMyIyHIsFq3MZDLh7NmzOHLk\nCE6ePInS0lK1UyKyWxyCSu0l/51Zs2YNn/wTgIsjF06cOCHFLi4u3JaHLOLh4YFRo0YJbfIHEERa\nx2LRCkwmE3766SdMmjQJfn5+6NSpE3r16oX4+Hj4+fmhe/fuePzxx5Gamqp2qo06ceIE9u/fL/w5\ne/as2mkRNauurs5s3yoWi2SpSy+9VHjyn5WVxSf/BMB8COrQoUPh5+enUjakV/LeaBaLpDcsFtsp\nJSUFw4YNw9SpU/Hbb7+hrKzM7DWnTp3CvHnzkJCQgFdffVVTT623bt2Knj17on///sKfuXPnqp0a\nUbN27dqFgoICKQ4ICMDAgQNVzIj0yN3d3WyeK2/mCOAQVLIO+e/Nxo0bUVFRoVI2RJZjsdgOhw4d\nwiWXXGK2rLabmxu6du2KDh06CO1VVVX497//jdtuuw1Go1HJVBt14cIFzeRCZKlVq1YJ8fjx4+Hi\n4qJSNqRn8pu5lStXqpQJaUVtba3ZyAUWi9QW8fHx6Ny5sxRXVlZi06ZNKmZEZBkWi210/vx5TJw4\nEfn5+VJbVFQUvvnmG1y4cAGnTp1CTk4O0tPT8eCDDwrHfv3113jxxReVTtnMY489huTkZLXTIGoT\n+Q39lVdeqVImpHfy352NGzfiwoULKmVDWrBz504UFxdLcXBwMPr3769iRqRXBoOBQ1FJ11gsttEz\nzzyDjIwMKe7WrRu2b9+Om2++WejdiIqKwjvvvIOPP/5YOP6VV17ByZMnFctXbs2aNfjwww+lOCIi\nQrVciCyVl5eHXbt2CW186k9t1b17d8TGxkpxdXU11q9fr2JGpDb5yIVx48bB2dlZpWxI71gskp6x\nWGyD06dP49NPP5ViJycnfPXVV4iMjGzymLvvvhs33XSTFNfW1uKZZ56xaZ5NKSoqwp133inF06ZN\n4wpvpCvyvar69euH8PBwFTMiPTMYDGa9ixyK6thWrFghxBy5QO0xduxY4WHD0aNHkZaWpmJGRK3H\nYrEN3nrrLdTW1krx1KlTMWTIkBaPe+211+Dk9PeP/Mcff8SZM2dskmNzHnjgAWm10+DgYLzzzjuK\n50DUHhyCStZ21VVXCfHKlSs1tRgZKSc7Oxt79+6VYoPBgCuuuELFjEjv/P39MWzYMKFN/kCCSKtY\nLFrIZDLh559/FtruuuuuVh0bHR2N8ePHC+datmyZNdNr0dKlS7Fo0SIpXrBggdlCPERaZjQazYbw\nsFik9ho9ejTc3d2lODU1VdhjjxzH77//LsSDBg3i/5PUbldffbUQs1gkvWCxaKHt27fj3LlzUuzp\n6YkxY8a0+nj5h8VPP/1ktdxakpOTg3/84x9SPHHiRNx8882KXZ/IGnbt2oW8vDwp9vf3x9ChQ1XM\niOyBl5eX2RYa8qKBHIP8733ixIkqZUL2RP57tH79epSXl6uUDVHrsVi00JYtW4R40KBBcHV1bfXx\nl156qRDv3LkTNTU1VsmtJXfffbe0equfnx8++ugjRa5LZE2//vqrEE+YMIFbZpBVyIei/vbbbypl\nQmqprq7G2rVrhTYWi2QNPXv2NNtCgwtpkR6wWLTQsWPHhLhv374WHd+7d2/hxra2thanTp2ySm7N\n+eKLL4Sb7Hnz5jW7IA+RVi1fvlyIJ02apFImZG/kIz82bdqEwsJClbIhNWzevBmlpaVS3LFjR26Z\nQVZhMBjMPmP4QIr0gMWihY4ePSrE0dHRFh3v7OxstmqjvAC1trS0NMyePVuKx4wZg7vvvtum1ySy\nhbS0NBw6dEiKnZycOF+RrCYuLg49e/aU4rq6OrMtFMi+yeeRXXXVVcLCdETtIe+lXrFiBRfSIs3j\nJ6CF5EsdW1osNnaMLZdPNplMuOOOO1BSUgLg4rychtt+EOmJfAjqpZdeiuDgYJWyIXsk76mW92ST\n/TKZTPjll1+ENvnQZKL2GD16NLy8vKQ4MzMTBw4cUDEjopaxWLRQw+EpwMXFNSwlP0Z+Tmv63//+\nhw0bNkjxq6++Kmw+TaQn8mKRQ1DJ2q655hohXrlypWLzykldhw8fFrazcnd3N9tMnag9PDw8cPnl\nlwtt8gcURFrDYtECJpMJFRUVQpuHh4fF5/H09BTisrKyduXVlBMnTuCpp56S4mHDhuGhhx6yybUa\nU1hY2OSfoqIixfIg+1BaWoo///xTaGOxSNY2ePBghIaGSnFxcTE2b96sYkakFPlN+9ixY+Hj46NS\nNmSvJk+eLMTy7diItIbFogUuXLhgNrZcXvi1hhLFYm1tLW699VapuHV3d8dnn32m6NyLoKCgJv90\n6dJFsTzIPqxatQrV1dVS3LVrV8THx6uYEdkjZ2dns3lFHIrqGOTF4rXXXqtOImTXJk2aJNyL7d+/\nH6mpqeolRNQCFosWaGx5/rq6OovPIz/GFsv+z507Fzt37pTi5557DgkJCVa/DpFS5HuSXnPNNTAY\nDCplQ/ZMPhT1559/5iIUdi4zMxO7d++WYoPBwJELZBOhoaFm26hxKCppGYtFC3h4eJgVdvJhqa0h\nP8baw1z27duHl156SYoHDBiAxx9/3KrXaI2CgoIm/zScF0LUkqqqKrMlxqdOnapSNmTvxo8fL0wx\nSEtLw759+1TMiGxN3ns8ePBgdOzYUaVsyN7Je605FJW0jMWihby9vYW4srLS4nPYslisqqrCrbfe\nKi3I4OLigs8//1yVTcsDAwOb/BMQEKB4PqRff/zxh9neZ0OHDlUxI7Jn3t7euOKKK4S2ZcuWqZQN\nKUF+sy6fV0ZkTfLfr02bNuH8+fMqZUPUPBaLFpIXObm5uRafQ35MYGBge1ISPPvsszh8+LAUP/nk\nk+jbt6/Vzk+kBvkQ1MmTJ3PvM7Ipec81i0X7df78eaxfv15oY7FIthQXF4fevXtLsdFo5Nxo0izl\nu5t0rnv37sK+iOnp6RafQ35M9+7d251XvT/++EP6OiwsDJMmTcL+/ftbPK6wsFCI8/PzzY7r06cP\nb9BJcXV1dWbzOTgElWzt6quvhouLC2prawEAx44dw7Fjx9CjRw+VMyNrW758ubCWQM+ePfn3TDZ3\n7bXX4tChQ1K8dOlS3HHHHSpmRNQ4FosW6tmzJ9auXSvFls69KykpMRtqYKv/lHJycjB48OA2Hbt4\n8WIsXrxYaCstLeUy4qS4rVu3Ii8vT4oDAgIwatQo9RIihxAYGIgxY8ZgzZo1UttPP/3EIsIO/fjj\nj0J8/fXXq5QJOZLrr79eWF9izZo1KCoq4jQd0hx2E1moV69eQrxjxw6Ljv/rr7+EOCAgAJGRke3O\ni8heLVmyRIgnTZoENzc3lbIhRyLvwV66dKlKmZCtFBUVCQ+AARaLpIzevXujW7duUlxTU8OhqKRJ\n7Fm00IQJE4T4xIkTyM/PR0hISKuO37JlixDLF1For/j4eGnYlCXS09OFoaghISFmRayzs3O78yOy\nRF1dndlT/+uuu06lbMjRTJ48Gffdd5+0bcbevXtx+vRpdO3aVeXMyFp+/fVXaUE44OK0EPlDYSJb\nMBgMuOGGG/Dqq69KbT/++CNuvfVWFbMiMsdi0UJRUVEYOHAg9uzZAwAwmUz4/vvv8eCDD7Z4rMlk\nwnfffSe0TZkyxar5ffvtt206bubMmcKxN954I959911rpUXUJps3b8a5c+ek2M/Pz+yBDZGtdOzY\nESNGjMDGjRulth9++AFPP/20ilmRNTU2BJX7t5JS5MXi6tWrUVxcDH9/fxWzIhJxGGobzJgxQ4g/\n/PBDYXJ8U9asWYPTp09Lsb+/P6666iqr50dkL+TzZidPnizsf0dkazfeeKMQf//99yplQtZWVFSE\nVatWCW0cgkpK6tu3rzBSobq6Gr/++quKGRGZY7HYBvfddx8iIiKk+MiRI5g/f36zx1RUVOChhx4S\n2ubMmdPigjElJSXYv3+/8Ke6urrtyRPpRG1trdkcMfmNO5GtXXfddcIQ/EOHDuHYsWMqZkTW8tNP\nPwn/n8bFxaFfv37qJUQOx2AwmD2gkD8kJVIbi8U28PT0xIsvvii0Pf300/j6668bfX1ZWRkmT56M\nU6dOSW2RkZH417/+1eK1Nm3ahP79+wt/2rJdB5He/Pnnn2aroI4bN07FjMgRdejQAWPGjBHaeDNn\nH+TTQm666SYOQSXFyR+Crlq1ymzVfCI1sVhso1mzZglPg2pqanDrrbdi/Pjx+Prrr7Ft2zasWrUK\nL7/8Mrp37y6stubm5oZFixbBy8tLjdSJdEE+3G/KlClcBZVUIb+ZW7x4sbToDelTTk6OsC8xcLFY\nJFJa3759hS15amtrzebSEqmJxWI7fPPNN7j22muFtrVr1+LWW2/FpZdeiiuvvBL/+c9/kJ2dLX3f\n29sbP/74I0aMGKFwtkT6UVlZafafJYegklqmTJkCF5e/14M7fvw49u/fr15C1G5LliyB0WiU4j59\n+qBnz54qZkSOymAwmD2oWLRokUrZEJljsdgO7u7uWLZsGd59912Ehoa2+PrLL78cu3fvxqRJkxTI\njki/VqxYgeLiYinu0KEDxo4dq2JG5MiCgoLMtjn65ptvVMqGrEF+M85eRVKT/Pdv06ZNyMjIUCkb\nIhG3zmgng8GABx54ALNmzcJvv/2G9evX4+TJkygqKoKrqyvCw8MxYMAATJ48Gb1797b4/P7+/ujb\nt6/Q5u7ubq30JZ07dxau06lTJ6tfg6i15DfiN910k9CzQ6S0mTNn4rfffpPiRYsW4fXXX+fvpQ6l\npKRg+/btQtv06dNVyoYI6Nq1Ky655BLs3LlTalu8eDEee+wxFbMiushg4sQLUkFhYSGCgoIAAAUF\nBQgMDFQ5I9KKgoICdOzYUdgoe9euXUhKSlIxK3J0FRUVCAsLQ2lpqdS2atUq7vupQy+88AKef/55\nKR42bBi2bt2qXkJEABYsWIDZs2dLcZ8+fXDgwAH1EiJNUuP+mcNQiUhTlixZIhSK8fHxGDhwoIoZ\nEV1cBVu+xD2HouqPyWTCV199JbTdeuutKmVD9Lcbb7wRTk5/35YfPHiQc6NJE1gsEpGmyG/kZs6c\nyeXsSRNuueUWIV62bBnKyspUyobaYuvWrThz5owUu7u7Y9q0aSpmRHRRx44dzUYqfPnllyplQ/Q3\nFotEpBknTpzAtm3bhLYZM2aolA2RaOTIkcJ87vLycixdulTFjMhS8pvva665htMgSDNuu+02If72\n22+FkTZEamCxSESasXDhQiEeOXIkunTpok4yRDJOTk6YOXOm0Pb555+rlA1ZqqKiAj/88IPQJr85\nJ1LT5MmT4e/vL8V5eXlYuXKlihkRsVgkIo2ora01e+p/xx13qJQNUePkv5ObNm3CqVOnVMqGLPHT\nTz+hpKREijt06IDx48ermBGRyMPDw2xlXvlDVCKlsVgkIk1Ys2YNsrOzpdjHx8dsQREitXXv3h3D\nhw8X2r744guVsiFLfPLJJ0J88803w9XVVaVsiBon7+3+9ddfkZOTo1I2RCwWiUgj5MP5pk+fDm9v\nb5WyIWranXfeKcRffvklamtrVcqGWuPUqVP4888/hba77rpLnWSImjFkyBDEx8dLcWOjboiUxGKR\niFSXk5OD5cuXC20cgkpadcMNN8DHx0eKs7KysHr1ahUzopZ89tlnQjxs2DD07NlTpWyImmYwGHD3\n3XcLbZ988gm4LTqphcUiEanuiy++EFZ8S0hIwNChQ1XMiKhpPj4+uPHGG4W2jz76SKVsqCU1NTVm\n877Yq0haduuttwpDpE+fPm3WM06kFBaLRKQqo9FodqN97733cm9F0jR5sbFixQqkp6erlA0157ff\nfhPmfPn5+XFvRdK00NBQTJ06VWiTz7klUgqLRSJS1Zo1a5CamirFHh4euPXWW9VLiKgVBg8ejH79\n+kmx0WjkzZxGvf/++0I8Y8YMzocmzZMPRV26dCny8vJUyoYcGYtFIlLVhx9+KMTTpk1DUFCQStkQ\ntY7BYMA//vEPoe3TTz/lBtoac+LECaxbt05ou+eee1TKhqj1Ro8ejbi4OCmurq42m3tLpAQWi0Sk\nmoyMDPz6669Cm/wGnEirZsyYAV9fXyk+d+4cfv75Z/USIjPyXsWhQ4eif//+KmVD1HpOTk5m/x9+\n8MEHXHmZFMdikYhU8/7778NoNEpx7969MWTIEBUzImo9X19fzJw5U2h79913VcqG5C5cuGC2sM0D\nDzygTjJEbXDnnXfCw8NDitPT0/Hbb7+pmBE5IhaLRKSK8vJyfPzxx0Lbgw8+yIVtSFfuu+8+Id60\naRP279+vTjIk+Pbbb1FSUiLFoaGhuP7661XMiMgyQUFBuPnmm4U2PpAipbFYJCJVLFq0CAUFBVIc\nGBho1ktDpHW9e/fG6NGjhbYFCxaolA3VM5lMZn8Pd999N9zd3VXKiKht5L3hf/zxB44ePapSNuSI\nWCwSkeKaupHz8vJSKSOitvvXv/4lxIsWLUJubq5K2RBwcZXlhjfUzs7OuPfee1XMiKht+vfvj0sv\nvVRomz9/vkrZkCNisUhEilu/fj0OHz4sxU5OTrj//vtVzIio7a6++mrExsZKcXV1tdkqv6Ss//73\nv0J8ww03IDo6WqVsiNpH/kDq66+/FvYOJbIlFotEpLg333xTiKdMmYLOnTurlA1R+zg7O+Of//yn\n0Pbee++hoqJCpYwc2+HDh7FmzRqh7eGHH1YpG6L2k/8fWVVVZbbSL5GtsFgkIkUdOHAAq1evFtp4\nI0d6d+eddwrbaOTm5uLLL79UMSPHJe9VvPTSS3HJJZeolA1R+7m4uGD27NlC2/vvv88HUqQIFotE\npKh58+YJ8aWXXmo2H4NIb/z8/MzmxM2bNw91dXUqZeSYMjMz8c033whtjzzyiErZEFnPrFmz4O/v\nL8X5+flmW8OQ7S1YsABz584VVlq2dywWiUgxaWlp+O6774S2J554QqVsiKxr9uzZcHV1leLk5GQs\nW7ZMxYwcz1tvvYWamhopjouLw+TJk1XMiMg6fH19cc899whtb7zxBmpra1XKyPGUlJTg+eefx9NP\nP42YmBi88MILKC0tVTstm2OxSA6v4abwZFtvvfWW0NOSkJCAq6++WsWMiKwnMjLSbPuX119/HSaT\nSaWMHEt+fr7Z3q1PPPEEnJ2dVcqIyLpmz54NNzc3KU5NTTV7AEu28+6776KoqAgAUFhYiAULFjjE\n5zuLRXJYqampmDVrFqZOnap2Kg4hOzvb7Ebuscceg5MTP4bIfjz++ONCvGfPHqxatUqlbBzL//73\nP5SXl0txeHg4brvtNhUzIrKuiIgI3H777ULb3Llz+dBbAWVlZWbzoWfPng0/Pz+VMlIO79LI4VRW\nVuK+++5Dt27d8Pnnn+OXX37Bjh071E7L7s2bNw9VVVVSHBUVhVtuuUXFjIisr0ePHrj22muFthde\neMEhnj6rqbi4GO+8847Q9uijj8Ld3V2ljIhsY86cOcJD1mPHjuHnn39WLyEH8cEHH+D8+fNS7Ofn\nZ7YKtr1isUgOx93dHQcPHhTG+T/77LMqZmT/cnNz8cEHHwhtTz75pDCchshe/Oc//xHiHTt2YO3a\ntSpl4xjefvttaXgYAAQGBpotOERkD7p06YKbbrpJaHvhhRfYu2hD5eXlZovz/fOf/0RAQIA6CSmM\nxSI5HIPBgBdffFFoW7NmDbZs2aJSRvZv3rx5whLfERERuPPOO1XMiMh2BgwYgEmTJglt7F20ncLC\nQrPhYQ8//DB8fHxUyojItp566ikYDAYpPnjwIJYuXapiRvbto48+Qm5urhT7+PiYbWViz1gskkMa\nM2YMRo4cKbSxd9E2srKy8O677wptTzzxBDw8PFTKiMj25J8n27ZtM9tflKzjv//9r7CMfVBQEP71\nr3+pmBGRbSUmJmLatGlC23PPPcetemygtLQUc+fOFdruv/9+BAcHq5SR8lgskkMyGAx46aWXhLYN\nGzZgw4YNKmVkv15++WWhVzE8PBx33323ihkR2V5SUhKuuuoqoe2pp57iUDEry8/Px4IFC4S2xx9/\n3CEWnSDH9vzzz5vNXfz+++9VzMg+LViwAHl5eVLs4+ODRx99VMWMlMdikRzWZZddhnHjxgltTz31\nFIeKWdGZM2fwySefCG3/+c9/4OXlpVJGRMp5+eWXhXj//v1YsmSJStnYp1deeUXY5ywkJAQPPvig\nihkRKSMhIQE333yz0Pbcc8+hurpapYzsT0FBAd58802h7eGHH0aHDh1UykgdLBbJocnnLu7YsYPj\n/q3oueeeExYSio2NxaxZs1TMiEg5/fv3Nxsq9swzzwibxlPbpaSk4L333hPannzySc5VJIfx3HPP\nCfuIJicn46OPPlIxI/vy+uuvC0PcAwMDHa5XEWCxSA5uyJAhZsvcP/XUU7yZs4Ldu3fjm2++Edpe\nfPFFroBKDuWll14SbuZOnz5ttt8otY288I6OjsYDDzygYkZEyoqLi8M999wjtL344osoLi5WKSP7\nkZqairfffltoe/LJJ+Hv769OQipisUgOb+7cuWY3c3wy1z4mk8ns6VuvXr3Mlvsmsnfdu3c3W/n3\nueeeE7Z5IMvt2bMHixYtEtpeeuklLpxFDue5556Dt7e3FOfn5+ONN95QMSP78NRTTwlDeiMiIhx2\niDuLRXJ4CQkJZguuPP/88ygoKFApI/375ZdfsGnTJqFt3rx5QlFO5CheeOEF4Wbu/PnzZvMZqfVM\nJpPZaqd9+vQxm79F5AjCwsLwxBNPCG3//e9/kZqaqk5CduCvv/4yWyzolVdecdj1FlgsEsH8ydz5\n8+fx3HPPqZiRflVVVeHxxx8X2q644gpMmDBBpYyI1BUeHo4nn3xSaPvf//6H06dPq5SRvn3//ffY\nunWr0PZ/7d13VBTX2wfw79Klgw2xYK/YY+/d2HvDXqMmajTRRE1sMWrUJMbEFnvvNRKNDXsv2BAb\ndlSQpiB17/uHr/tjdhbYhWVnke/nHM7xXubOc3d3XOaZuXPvL7/8wotRlG2NHTsWHh4emnJsbCy+\n+eYbBXuUdanVanz99deSusqVK6Nv374K9Uh5TBaJAHh4eGDixImSusWLF+PGjRsK9SjrmjdvnuQk\n2MLCAvPmzVOwR0TKGzt2LAoUKKApJyQkYPTo0Zx92UDR0dGyi1Ft2rThxSjK1hwdHfHzzz9L6nbs\n2IEjR44o1KOsa/Xq1Th37pykbv78+ZJlSrKb7PvKibSMHTsWRYsW1ZSTkpIwatQonswZ4NGjR5g5\nc6akbujQoShXrpxCPSIyD/b29pg9e7akztfXF3v27FGoR1nTzJkz8fz5c03Z2toav/76q4I9IjIP\n/fr1Q7Vq1SR1o0aN4oR9BggLC8OECRMkdR06dECjRo0U6pF5YLJI9P/s7Ozw22+/Ser8/Pywbt06\nhXqU9Xz99dd4//69ppwrVy5Z8kiUXfXq1Qv16tWT1I0ePRrR0dEK9ShruXXrlmzNszFjxqBEiRIK\n9YjIfFhYWGDhwoWSutu3b/NiigF++OEHhIaGaso5cuSQnRdmR0wWiZJp27atbDjT2LFjJV8epNve\nvXuxe/duSd2cOXPg7u6uTIeIzIxKpcJff/0lebbuyZMnsvVeSU6tVuOLL76QrNvq6emJyZMnK9gr\nIvNSo0YN9O/fX1I3depUPHjwQJkOZSFnz57F4sWLJXWTJk1C4cKFlemQGWGySJTMx5O55NOvv3nz\nhg+KpyEiIgLDhw+X1NWqVUv2R4souytfvrxsJs/58+fj8uXLCvUoa1ixYgVOnTolqVuwYAGcnZ0V\n6hGRefrll1+QM2dOTTk2NhbDhw/nIzWpiIuLw+DBgyXvUfHixXnu9/+YLBJpKVasGH788UdJ3Zo1\na3DgwAGFemT+xo8fjxcvXmjKVlZWWLx4cbZ+IJwoJVOnTpVMdpOUlISBAwdK1vSi/3n69KnspK11\n69bo3LmzQj0iMl+5c+fG/PnzJXWHDh3CmjVrFOqR+fv5559x+/ZtSd2SJUtga2urUI/MC8/kiHT4\n5ptv4O3tLakbPHgwF9LW4fDhw/j7778ldRMmTEDFihUV6hGReXNycsKSJUskddevX5dNgEMf1lQc\nPHgwoqKiNHX29vb4888/oVKpFOwZkfnq27cvGjduLKkbPXo0nj59qlCPzNe1a9cwa9YsSd3AgQPR\npEkThXpkfpgsEulgbW2N5cuXS+6MPX/+XDZ8LLsLDw+XDTUtXbo0nyMiSkPr1q1li8jPmDEDly5d\nUqhH5mn58uX477//JHWzZ8/mc0REqVCpVFi6dCly5MihqYuKisKgQYM4HDWZ2NhY9O7dWzJjrIeH\nB5f70sJkkSgFNWrUwPjx4yV1a9euxfbt2xXqkfkZMWKEZBp7lUqF5cuXS575JCLdfv/9d+TOnVtT\nTkxMhI+PD2dH/X93796VLY7doEEDjBw5UqEeEWUdxYsXx5w5cyR1hw4dwl9//aVQj8zPpEmTcOvW\nLUndokWL4ObmplCPzBOTRaJUTJ06VTYcdciQIXj8+LFCPTIf69evx+bNmyV1EyZMQJ06dRTqEVHW\nkitXLtkQ7rt372LcuHEK9ch8xMXFoWfPnpLE2cHBAStXruSz0ER6GjlypGyNwG+++Qb+/v4K9ch8\nHDp0SLasSL9+/dCxY0eFemS++I1LlApbW1usXbsW1tbWmrqIiAj06tVLMoV7dnPnzh188cUXkrpK\nlSph2rRpCvWIKGtq3749hgwZIqlbunQptmzZolCPzMOkSZNw5coVSd1vv/2GokWLKtQjoqzHwsIC\nq1atkswaHBcXh+7du2frEQwvXryQPQbg5eWFBQsWKNQj88ZkkSgNlStXlg3lOHPmDCZOnKhQj5QV\nExODrl27Sv7Q2NraYv369bCxsVGwZ0RZ06+//orixYtL6gYPHozAwECFeqSsXbt2yWZz7NKlCwYP\nHqxQj4iyLi8vLyxdulRSFxgYmG2X00hMTESvXr0QEhKiqVOpVFizZg1cXFwU7Jn5YrJIpIcxY8ag\nVatWkrq5c+di27ZtCvVIGUIIDBs2DDdv3pTUL1y4EOXKlVOoV0RZm6OjIzZv3iy52PLu3Tt06dIF\n7969U7Bnpnfnzh3069dPUleoUCEsW7aMs58SpVOPHj0wcOBASd26devw559/KtQj5UycOBHHjx+X\n1E2dOhUNGjRQqEfmj8kikR5UKhVWr16N/PnzS+oHDBggS5w+ZfPnz8f69esldT4+PrziT5RBVatW\nxe+//y6pu3nzJvr16we1Wq1Mp0wsMjISnTp1wtu3bzV1VlZW2LRpEyecIMqgP/74A2XKlJHUjR07\nFidOnFCoR6a3YcMGzJ07V1LXtGlTTJo0SaEeZQ1MFon0lDt3bmzfvl3y/GJ0dDTatm2LV69eKdgz\n0zhw4AAmTJggqStdujSWLFnCK/5ERvDFF1+gR48ekrqdO3dmi2eBExMT0b17dwQEBEjqf/vtN9Su\nXVuhXhF9OhwcHLBr1y44OTlp6hITE9G5c2c8ePBAwZ6ZxqVLl2QXtvPly4f169fD0tJSoV5lDUwW\niQxQs2ZNLFy4UFL36NEjtG/fHu/fv1eoV5nv6tWr6Nq1q+QOh4uLC/bs2QNHR0cFe0b06VCpVPj7\n779RoUIFSf306dNld/Q/JUIIjBo1CgcPHpTU9+7dm8tkEBlRqVKlsG7dOkldaGgoWrdujbCwMIV6\nlfmCgoLQpk0bxMbGaupsbW2xe/du5M2bV8GeZQ1MFokMNHToUAwdOlRSd/78efj4+HySM6Q+evQI\nrVq1kjw7ZWFhgS1btqBkyZIK9ozo0+Po6Ii9e/dK1l8EPgx5116c/lMxZ84cLF68WFJXrVo1LF26\nlKMWiIysffv2+PHHHyV1gYGB6NChwyd50Ts0NBQtW7aUjQBbtmwZqlevrlCvshYmi0QGUqlU+PPP\nP9GsWTNJ/a5duzB48OBP6vmiV69eoUWLFnj58qWkft68eWjRooVCvSL6tHl5eWHnzp2SCW8SExPR\nqVMnnD9/XsGeGd/SpUvx/fffS+oKFSqEvXv3wt7eXqFeEX3apk6dil69eknqTp48iS5duiA+Pl6h\nXhlfVFQUWrdujbt370rqv/32W/Tt21ehXmU9TBaJ0sHa2hrbtm2TzQC6Zs0ajBo16pOYjjokJARN\nmjSRfcl+/fXX+PrrrxXqFVH2ULduXaxbt05yZy06OhotWrTApUuXFOyZ8axfvx7Dhw+X1Dk5OeGf\nf/6Bh4eHQr0i+vSpVCqsXLkS9erVk9T7+vqiT58+n8QoqXfv3qFVq1a4cOGCpL5nz56YPXu2Qr3K\nmpgsEqWTi4sLDhw4AC8vL0n9X3/9hREjRmTpO4yvX79Gs2bNcOvWLUl9t27dMG/ePIV6RZS9dOvW\nTTZDamRkJJo1a4bLly8r0ykjWb16Nfr27Su5sGZnZ4d9+/ahfPnyCvaMKHuwtbXFnj17ZP/ftm7d\nih49emTpO4xv375FmzZtcPr0aUl948aNsWrVKlhYMP0xBN8togwoUKAADh06JHtAesmSJRg8eHCW\nvDr35MkT1KtXD/7+/pL6Vq1aYe3atfySJTKhUaNGyZ4vioiIQKNGjeDn56dMpzJo8eLFGDhwoCRR\ntLKywrZt27jWGZEJubm54b///kPx4sUl9Tt27ECXLl2y5DOMoaGhaNy4sWwtxZo1a2L37t2wtbVV\nqGdZF8/6iDKoRIkSOHz4sGxCilWrVqFDhw5ZalHtGzduoG7durKhp82aNcOOHTv4JUukgKlTp8qe\n63v79i1atmyJnTt3KtQrwwkhMHnyZIwYMUKSKFpaWmLjxo1o06aNgr0jyp48PDxw+PBhFC5cWFK/\nb98+NG3aFKGhocp0LB2CgoJQv3592VD9qlWr4t9//5UsG0L6Y7JIZATe3t7w8/OTPWezf/9+NGzY\nEM+ePVOoZ/rbv38/ateujadPn0rqmzdvjt27d8POzk6hnhFlbyqVCjNnzsR3330nqY+Li0Pnzp0x\na9Yss39O+v379+jTpw9mzpwpqf94R7Fr164K9YyIvLy8cOLECdkdxjNnzqB27doIDAxUqGf6O3Pm\nDGrUqCFbq7VatWr477//4OrqqkzHPgFMFomMpGzZsjh+/DgKFSokqb98+TKqVq0qGxJhLtRqNX7+\n+We0a9dOdhe0S5cunJWQyAyoVCrMmjULc+bMkf1u4sSJ8PHxwdu3bxXoWdoeP36MOnXqYMOGDZL6\nHDlyYNeuXejYsaNCPSOijwoWLIgTJ07IJu67d+8eqlWrht27dyvTsTQIIbBkyRI0atQIISEhkt81\natQIR44cgbu7u0K9+zQwWSQyopIlS+Ls2bOoXLmypP7169do0qQJZsyYYVbPMb5+/RqtW7fGpEmT\nZBPyfPHFF9i8eTOHnhKZkfHjx2PFihWwsrKS1G/atAmfffYZrl27pkzHUrB9+3ZUrlwZV69eldTn\nypULx44d49BTIjOSL18+nDp1Co0aNZLUv337Fh07dsTYsWMlC9srLSoqCr1798bw4cNlE/J07doV\nvr6+HHpqBEwWiYzM09MTx48fR+vWrSX1SUlJ+PHHH1G/fn2zGNKxdetWlCtXDgcOHJDUW1hYYMGC\nBVi0aBEsLS0V6h0RpWTgwIE4ePAg3NzcJPV3795F9erVMWPGDCQkJCjUuw/CwsLQv39/dO3aFeHh\n4ZLflSlTRjNkjIjMi6urKw4cOKBzHcLffvsN1apVw5UrVxTomdShQ4fg7e2NjRs3yn43efJkbN68\nmY/PGIsgUkBYWJgAIACIsLAwpbuTKZKSksSUKVM0rzP5j42Njfjhhx9ETEyMyft179490bZtW539\nypkzpzhw4IDJ+0REhrt7967w9vbW+X+5QoUKws/Pz+R9SkpKEmvXrhW5c+fW2a+OHTuKqKgok/eL\niAyjVqvFwoULhZWVlez/sYWFhfjqq69ERESEyfv1/Plz0bt3b53fL46OjmLTpk0m75MpKXH+zGSR\nFJEdksWP9u/fn+KJU/78+cXff/8tEhISMr0fL1++FGPHjhU2NjY6+1KnTh3x9OnTTO8HERlPdHS0\nGDx4sM7/0wBEp06dxM2bNzO9H2q1Whw6dEhUqVIlxQtk8+bNE0lJSZneFyIyntOnTwsvL68ULzD/\n+uuv4v3795nej/DwcDFlyhTh4OCgsy/ly5cXd+7cyfR+KI3JImUb2SlZFOJDotamTZsUT+gKFy4s\nfvvtt0y54h4YGChGjRolcuTIkeJJ3M8//2yShJWIMse2bdtSvCgFQHTu3FmcOHFCqNVqo8aNj48X\n27ZtE9WrV08xdtmyZcXVq1eNGpeITCciIkL07ds3xf/jHh4eYubMmSI0NNTosR8/fiy+//574eLi\nojO2hYWFGD9+vEkSVnOgxPmzSggzn2+bPknh4eGa2anCwsJkz958ioQQ2LJlC77++mu8fPlS5zb2\n9vbo1KkTevXqhUaNGqV7vH1oaCh27dqFzZs34+jRoyluV6tWLSxbtgze3t7pikNE5iM0NBRff/01\n1q9fn+I25cqVg4+PD7p06YISJUqkK45arcbFixexfft2rFu3Dq9evdK5na2tLSZPnozx48fDxsYm\nXbGIyHz8+++/GDlyJIKCgnT+3sbGBu3atYOPjw+aNm0KR0fHdMWJjIzE3r17sWXLFvz777+yCfg+\nqlChApYsWYJatWqlK05WpMT5M5NFUkR2TBY/ioyMxE8//YSFCxciLi4uxe1y5MiB+vXro2bNmqhS\npQqKFSuGQoUKwdHRESqVCsCHk7aQkBA8e/YMN2/exLVr13D8+HFcu3Yt1XXX8ufPjzlz5qBXr16a\nfRHRp+HMmTMYM2YMLl68mOp2RYsWRcOGDfHZZ5/B29sbRYoUQZ48eSSJ3fv37xEcHIz79+/j5s2b\nOHv2LE6cOIHXr1+nuu+uXbvi559/lq3bRkRZ2/v37zF37lzMnTtXttxWcjY2NqhTpw5q1qyJqlWr\nokSJEvDy8oKzs7PmvEMIgTdv3uDZs2e4desW/P39ceLECVy8eDHFBBEAcubMienTp2Po0KGymaE/\ndUwWKdvIzsniR0+fPsVPP/2ENWvWpJo0arOwsICDgwMSExMRFxeX6heqNk9PT3z//fcYPHgwZwkj\n+oSp1Wrs3bsX06dPly1bkRY7OztYWVkhISHBoO8mAGjTpg1++OEHVK9e3aB2RJS1hISEYPbs2Vi6\ndCmio6P1bpeRcxh3d3eMGzcOX331VbZdEoPJImUbTBb/59WrV1i0aBFWrlyJZ8+eZUqMmjVr4ssv\nv0SXLl24biJRNiKEwOHDh7F48WLs3bsXSUlJRo/h5OSEHj16YPTo0bIFvYno0xYREYFly5Zh2bJl\nePDgQabEKF++PL788kv4+PjAwcEhU2JkFUwWKdtgsiiXlJSEY8eOYdu2bfD19c1w4lipUiV06tQJ\nXbt2RenSpY3USyLKql6+fIldu3Zh+/btOHnyZIbWYnR2dkbLli3Rvn17dOjQAfb29kbsKRFlNUII\nnD17Fps3b4avr2+GE8cyZcqgQ4cO6N69OypUqMBHZv4fk0XKNpgspk4IgYCAAJw/fx4XL15EYGAg\nHj58iODgYNmwMFdXV3h6eqJo0aKoWLEiKleujAYNGiBXrlwK9Z6IzF1MTAzOnj2Lc+fO4datW7h9\n+zaCg4MREhIied7Z2toaOXPmRLFixVC8eHFUqVIFNWvWRKVKlThpDRGl6MGDBzh37hwuXLiAgIAA\nBAUF4dmzZ4iNjZVs5+TkBE9PTxQuXFhyDpMvXz6Fem7emCxStsFkMf3i4+MRExMDa2tr2NjYwNra\nWukuEdEnIjExEfHx8UhMTISVlRVy5MjBK/pEZDQJCQmIjo6GlZUVbG1teQ5jICXOn7PXFEJEnwAb\nGxte0SeiTGFlZZXtZhckItOxtraGq6ur0t0gA1go3QEiIiIiIiIyP0wWiYiIiIiISIbJIhERERER\nEckwWSQiIiIiIiIZJotEREREREQkw2SRiIiIiIiIZJgsEhERERERkQyTRSIiIiIiIpJhskhERERE\nREQyTBaJiIiIiIhIhskiERERERERyTBZJCIiIiIiIhkmi0RERERERCTDZJGIiIiIiIhkmCwSERER\nERGRDJNFIiIiIiIikmGySERERERERDJMFomIiIiIiEiGySIRERERERHJMFkkIiIiIiIiGSulO0DZ\nk1qt1vw7IiJCuY4QEREREWUByc+Zk59LZyYmi6SIqKgozb+LFi2qYE+IiIiIiLKWqKgo5MyZM9Pj\ncBgqERERERERyaiEEELpTlD2k5iYiKdPnwIAnJ2dYWFh+usWERERmruaDx8+hKurq8n7QATwWCTz\nwuORzAmPRzInSh+ParVaMzqvYMGCsLLK/EGiHIZKirCyskKRIkWU7oaGq6sr3NzclO4GEY9FMis8\nHsmc8Hgkc6LU8WiKoafJcRgqERERERERyTBZJCIiIiIiIhkmi0RERERERCTDZJGIiIiIiIhkmCwS\nERERERGRDJNFIiIiIiIikuE6i0RERERERCTDO4tEREREREQkw2SRiIiIiIiIZJgsEhERERERkQyT\nRSIiIiIiIpJhskhEREREREQyTBaJiIiIiIhIhskiERERERERyTBZJCIiIiIiIhkrpTtAFBISgsDA\nQISFhSE2Nhaurq7IkycPypUrB2tr60yJef/+fdy7dw9RUVGwsbFBgQIF4O3tjRw5cmTpWJRxjx49\nQlBQEMLDwyGEgLu7Ozw9PVGyZEmoVCqlu5chCQkJCAgIwKNHjxATEwNHR0cUKVIEpUuXhqWlpdLd\no2SSkpLw4sULhIeHIyIiAuHh4YiNjYWzszPc3NxQtmxZODs7Gz1udHQ0bt68iRcvXiA+Ph4uLi4o\nVaoUihQpkqVjUcbExsbixYsXiIiI0PwkJSXBxcUFefLkQdmyZWFjY6N0NzMkJCQEt27dQmhoKIQQ\nyJUrF8qVK4c8efIo3TUyE48ePUJgYCAiIiJgbW0NT09PeHt7w9HRMUvHSguTRTK5Fy9ewNfXF4cO\nHcLJkycRHBysczs7OzvUrFkTgwYNQrdu3TL8h+jNmzeYP38+1q5di+fPn+uM16JFC3z77beoU6dO\nlolFGXPr1i38+++/OHToEM6fP4/IyEid27m5uaFx48YYMWIEGjdubHCcy5cvIyAgIEN97dKlC+zs\n7AxuFxAQgF9++QU7d+5EVFSU7Pfu7u7o2rUrJkyYwBN1hbx58waLFi3CtWvXcOvWLTx8+BAJCQkp\nbq9SqVCyZEl069YNAwcOROHChTMU/8iRI/j1119x+PBhxMfHy37v5eWFAQMGYMyYMXBxcckysSh9\nbt68ifXr1+PatWsICAjAs2fPoFarU9ze2toaVatWhY+PD/r06WPQ5yaEwIYNGzLU36JFi6J27doG\nt1Or1VizZg0WLVqEy5cvQwgh26ZKlSoYMWIE+vfvz4tqWcDu3bvx7t07SV2pUqVQrVq1dO0vKioK\nCxYswMqVK/Ho0SPZ762trdGkSROMHTsWzZo1S1cMJWIZRBCZyL///isaNWokLCwsBACDfooWLSpO\nnz6d7th79+4V7u7uescbNmyYiIuLM/tYlH5//PGH8Pb2NvhYBCAaNWoknjx5YlC80aNHpytW8p/g\n4GCDYqrVajFz5kxhbW2t1/7t7OzEn3/+aVAMMo6LFy+m+7iwsbEREydOFPHx8QbHjY6OFr1799Y7\nVt68ecWRI0fS9RpNGYsy5rfffkv38Zg7d26xZs0avWMlJCRk+LvRx8fH4Nf46NEjUa1aNb1jVK1a\nVTx8+NDgOGQ6W7Zs0fnZjRw5Ml378/PzE/ny5dP7GOnZs6d49+6d2ccyFJNFMplBgwbpPOCtrKxE\nhQoVRIsWLUTXrl1Fo0aNhLOzs2w7S0tLsW7dOoPjbty4UZagqlQqUaVKFdGxY0fRsGFD4ebmJovX\nqlUrg0++TBmLMqZUqVI6j0dHR0dRvXp10bZtW9G5c2dRs2ZNYWNjI9vO3d1dXLt2Te94SiSLX331\nlWwfOXLkELVr19a8NltbW9k206ZNM/TtpAxKKVksVKiQaNKkiejSpYvo1KmTaNCggciZM6fObVu0\naCGio6P1jhkTEyPq168v20/OnDlFo0aNRMeOHUXFihVlv7e2thb79u0z6PWZMhZlnK5k0dLSUpQt\nW1a0aNFCdO/eXbRv317UqFFD2Nvb6zwev//+e71iKZEsPnjwQOTPn1+2n8KFC4vPP/9ctG7dWhQt\nWlT2+3z58ol79+6l5y2lTBYcHJzihfr0JIu+vr46//aXL19edOjQQTRu3Fjkzp1b9vu6desa9D1s\n6ljpwWSRTCZ5smhrayt69eol/vnnHxEVFSXbNjExUWzYsEF4enpK/mNYWVmJw4cP6x3z6tWrspPh\npk2bijt37ki2i4mJEfPmzRNWVlaSbceOHWuWsSjjkieLOXPmFGPHjhUnT57UmbRHRkaKmTNnyj7f\nPHnyiOfPn+sVTztZrFevnvDx8THoJyIiQu/Xt2zZMtkfli+//FKEhIRItgsODhYDBw6Ubbtz5069\nY1HGfUwWXVxcRP/+/cW2bdtEWFiYzm3VarXw8/MT9erVk31uw4cP1zum9uduY2Mj/vjjD/H+/XvJ\ndjdv3pTFcnR0FHfv3jXLWJRxH5NFLy8v8fXXX4ujR4+KmJgYndvGxsaKjRs3isKFC8uOxw0bNqQZ\nSztZdHBwMPi7cdGiRXq/ttjYWFGhQgVZEvjPP/8ItVot2fbgwYOiYMGCkm29vb1lxy0pr3Xr1ile\nTDA0Wbx//77spkXNmjVlF4jj4uLEkiVLhJ2dnWTbvn37mmWs9GKySCYzaNAg4ejoKKZMmSI7YU3J\ny5cvRcmSJSX/MUqWLKn3XTjtk47WrVun2nbnzp2S7S0tLcXt27fNLhZlXKlSpUShQoXEihUrRGxs\nrF5tzp07JxwcHCSfW+/evfVqq50sbtu2LSPdT1V4eLjsDvb06dNTbTNu3DjJ9gULFtT7faGMe/To\nkVizZk2KJ+S6JCUlyYZ1qlQqERAQkGbbc+fOSdpZWFiIAwcOpLh9bGysaNy4saRN27Zt9eqnKWOR\ncRw/flwcOHBAJCUl6d0mLCxMdnfYw8NDJCYmptpOO1n08vLKYO9TN2/ePNlFv6CgoBS3f/r0qewu\n5Jw5czK1j2SYv//+W/L9UrZs2Qwlix06dJC0T+sO3rFjx4SlpaWkjb6PTpkyVnoxWSST2b9/v3j1\n6pXB7a5fvy77j7F169Y02/3zzz+SNm5ubuLly5dpttO+At6xY0ezikXGsXHjxnRdHV66dKns5Fyf\nu4umTBa/++472VXKtE764uLiZM9wzp8/P9P6SMbx9u1b2fCkKVOmpNmuYcOGkjajRo1Ks83jx4+F\no6OjwScppoxFyrp8+bLkMwMgDh06lGobUyaLkZGRsmHc+pxP7N27V/Y3Pjw8PNP6SfoLCgoSTk5O\nms9m7NixwsfHJ93JovbFrRw5coj79++n2W78+PGSdvXq1TOrWBnBZJGyhLZt20r+Y/Tp0yfNNs2a\nNZO00ff5iaCgIKFSqSRt05rMxJSxSFmJiYmyk/OlS5em2c5UyWJ8fLxwcXGRxNq/f79ebTds2GDS\nK/xkHAMGDJB8bl26dEl1e39/f8n2VlZWel3cEkL+HGz37t3NJhaZhxIlSkg+t99//z3V7U2ZLP71\n11+SWGXKlNG7beXKlSVtFy5cmGn9JP0kJSWJBg0aaD6TYsWKiZiYmAwliz179pS0HTJkiF7t3rx5\nI3tU5erVq2YTKyMsQJQFNGzYUFK+detWqttHRETAz89PUjdo0CC9YhUuXBhNmjSR1O3atcssYpHy\nLC0tUbduXUldWsejKR09elSy/Ef+/PnRsmVLvdp27twZrq6umvLjx49x5coVY3eRjMzLy0tSfvPm\nTarba3/HtGnTBnnz5tUrlvZ3m6+vL+Li4swiFpkHQ49HU9I+HvX9W61r2507dxqlT5R+v//+O44f\nPw7gw3JCy5cvz9Aa1vHx8fD19ZXU6XuMuLu7o2PHjpK61I4RU8bKKCaLlCXkypVLUn79+nWq2+/f\nv1+yRlmRIkVQrFgxveM1b95cUt69e7dZxCLzYOjxaErax0/jxo1hYaHfV72trS3q16+f6v7I/Giv\nKZYzZ85Ut9f+TA1Zr6tixYqSZO/t27c4cuSIWcQi82Do8WgqkZGRsgu7hhyP2n+rT5w4gbCwMGN0\njdIhICAAkyZN0pSHDRsmu7FgqGPHjkkutrq4uBi0PqMh53OmjJVRTBYpSwgODpaU07pydOHCBUnZ\n0IXvte8cXbp0ySxikXkw9Hg0JWMfjxcvXsxwnyhznThxQlJO7TOPi4vDjRs39N5eF+3tUzpGTBmL\nzMPbt29x7do1SZ2hn3lmuXLlChITEzVlZ2dneHt7692+RIkSkosXSUlJuHr1qlH7SPpJTExE3759\nERsbCwAoWLAgfvnllwzvV/vvZ61atfS+2ArI/37evHkT79+/VzxWRjFZpCzh8uXLkrKnp2eq2wcE\nBEjK5cqVMyie9h+Qt2/f4unTp4rHIuWp1WrZCUJax2NK3rx5g5MnT2LXrl3YuXMn/Pz8cOfOHQgh\n0rU/IQQCAwMldYYej9rb3759O119IdPYtWuX5KTDyckJffr0SXH7wMBAJCUlacoqlQplypQxKKa+\nx4gpY5F5mDJliuYEHgCqV6+Ozz77zOD9qNVq3L59GwcPHsTWrVvh6+uL8+fPZ2hIq/bf6jJlyhh0\ncg4AZcuWlZR5PCrjp59+klxYX7p0KZycnDK834yezxUvXhy2traashACd+7cUTxWRlllyl6JjCgi\nIgL79u2T1KU11ED7P2GhQoUMiunk5AQXFxfJEIGAgAAULFhQ0VikvKNHj+L58+eSuvQMfRk6dCjC\nw8N1/s7NzQ316tXD0KFD0apVK6hUKr32+eTJE0RHR0vqDD0etbd/+vQp3r17B0dHR4P2Q5lLrVZj\n+fLlGD16tKZOpVJhyZIlqQ770/6+8vDwgI2NjUGxtY8R7X0qEYuU9e7dO0yePBkLFizQ1Dk7O2Pl\nypUG7+vFixdwcXGRDWcF/nfBoU2bNvjqq69QoEABvfeb0b/VutrweDS9y5cvY+bMmZpy37598fnn\nnxtl3xk9RlQqFQoUKIAHDx5I9lm5cmVFY2UUk0Uye/PmzZNcqQQge7BX24sXLyRlQ/6gJG+TPIHT\nThCUiEXK++mnnyRld3d3NGjQwOD9pJQofvzd3r17sXfvXlSoUAHr169H+fLl09zns2fPJGWVSmXw\nXU/t41cIgeDgYJQoUcKg/VDGHTlyRDLkOSEhAeHh4bh9+zb+/fdfyXePk5MTlixZgl69eqW6T+1j\nJL3fV8ml9H1lyliU+TZt2iS5UxwbG4uQkBBcvXoV//77ryS5K1q0KLZu3Wrw3RLgw3GefB6A5IQQ\nuH37Nm7fvo3ffvsNY8aMwcyZM2FtbZ3mfnk8Zn2xsbHo27evZjhx3rx58dtvvxlt/8Y6RpIncJn9\n/ahPrIxiskhm7ebNm5g7d66krnnz5qhYsWKKbaKjo6FWqyV16bkroj2kQddVTlPGIuWtXLlSM/Pa\nR2PGjNHrREWbra0typcvDw8PD9jb2yMsLAx37tyR/QG5fv06qlevjjVr1qBbt26p7lP7uLGzs4OV\nlWFf87qG8vB4VMasWbPSnNClcOHC6N69O0aPHo18+fKluU/tzzIzv69MGYsy34ABA9KcjbZy5cro\n378/Bg8eDHt7+3TH8vT0RJkyZeDu7o64uDi8evUK165dk8RPSEjA3LlzceLECRw4cEAyk7MuPB6z\nvkmTJkmG/i5atAju7u5G2z+/H3VjskhmKyYmBj169EB8fLymzsbGBr/++muq7XT9Z0nPBCTabXTt\n15SxSFmBgYGSIX/Ah5lvv/nmG733YWNjg+7du6Nv376oX7++ziF5AQEB+P3337F8+XLNhYjY2Fj0\n6dMHefPmTfUupvZxk55j0dLSEtbW1pIr+zwezZetrS1UKpXsolVKjHGMaLeJj49HQkKC7KKJKWOR\n8iwsLGBrawvxYQ1vg9uXKFECgwYNQvfu3VG4cGHZ72NjY7Fnzx7MmDFDslzR+fPn0alTJxw4cCDV\nYc6ZcTzyu9F0Tpw4gd9//11T7tKlCzp16mS0/SclJclGsWXWMWLKWMbAZJHMVv/+/WXr102bNi3N\nYS0xMTGyOjs7O4Pja7fRfhbM1LFIOZGRkejQoYPki9jCwgKrVq3S+wv+888/x9dffy1bg0xbmTJl\nsHTpUnTr1g2dO3fWDE+Oj4+Hj48P7t27l2JM7eMxPcfix3bJk0Uej8po2rQpPDw8NOWYmBiEhobC\n398fUVFRAD5cxJg9ezZ+//13zJ49W3ZBQ5sxjhFdbaKjo2V3dkwZizJfr169JBdvo6KiEBwcjOvX\nryM+Ph5qtRrnzp3DuXPnMGfOHKxZs0avpSk+fpf26dMHlpaWKW5nZ2eH7t27o0OHDhg2bBjWrFmj\n+d2xY8cwf/58fP/99ym2z4zjkd+NpvH27Vv0799fc1HM3d0df/31l1Fj8NwxZUwWySz98MMP2LZt\nm6SuZcuWmDBhQpptk88O9VFKzz+kJvkfxZT2a8pYpIyEhAR07dpVNsvYtGnTDHpWsUWLFgbFbdKk\nCbZu3YqWLVtqrtI/f/4cf/75J7799ludbbSPm/QciwCPR3Px3Xff6axXq9U4cuQIfvrpJ82yGbGx\nsRgzZgxevXqFn3/+OcV9GuMY0T4+dO3X1LEo86U0WU1sbCy2bNmCadOmISgoCMCH5YVatWqFHTt2\noF27dqnu18LCAv3799e7H7a2tli5ciVCQkIki5rPmTMHX3zxBdzc3FJslxz/VmcdY8eO1RxbALBg\nwQLkyZPHqDF0JWuZdYyYMpYxcOkMMjuLFy+WTSJSpUoVbN26Va9ZIXWN+07P2jPaQwR07deUscj0\nhBAYOHAgDh06JKkfMGAAJk+enOnxmzdvju7du0vq1q1bl+L22sdNeo5FIYTsuSQej+bFwsICzZo1\ng5+fH8aPHy/53axZs7B///4U2xrjGNH+vrK0tNR5t9uUsUg5dnZ26NevH/z9/SV3Ej+uhZcZS0FZ\nWFjgzz//lAxHjoyMlM2cnlxmHI/8bsx8vr6+WL58uabcqlUr9O7d2+hxrK2tZcPbM+sYMWUsY2Cy\nSGZl69at+PLLLyV1JUuWxIEDB/ReQ0fXfxZdt/zTot1GV3xTxiLTGzt2LNavXy+p69ChA/7++2+T\n9eGLL76QlG/cuCGbgfcjY5wM6WrD49E8qVQqzJkzB23btpXUT5w4McU22seIMb6vUjpBMWUsUp6T\nkxN27twpWfYpMjISs2bNypR4RYoUkY3YOHjwYIrbZ8bxyO/GzBUWFobBgwdrys7Ozli6dGmmxTPl\nMZKVjkcmi2Q2Dh48iD59+kgmaihUqBAOHz6M3Llz670fCwsL2fMsyaef15f2CbmutctMGYtMa8aM\nGZKH6YEPz5Bt3rw51edqjK1WrVqyK5B3797Vua32cZOUlITXr18bFE9XIsrj0bxNnz5dUr5+/Tpu\n3rypc1vtzzIzv69MGYvMg6Ojo+xu9+bNm9M14Y0+tB8FCAwMTHFbHo9Zz9ixYyWf09y5c9O1xIS+\n+P2oG59ZJLNw+vRpdOrUSTL+Om/evDh8+HC6FqcvXbo0zp07pyk/efLEoPbx8fGyk+zSpUsrHotM\nY+HChfjxxx8ldbVq1cLu3btN/oyKjY0NcufOLfmjEBISonPbEiVKwNLSUrIW2pMnTwx6tkP7+HV3\ndzfoYg2ZXqVKleDp6Sk5Ri5cuABvb2/ZttrfLc+fP4darYaFhf7XjrWPkdS+G00Vi8xHq1at8NVX\nX2nK4eHhuHfvHkqWLGn0WPnz55eUU/puBOTHjqF/q3W14fGYuZJf9MqbNy9y5MghG+2jS/LnG4EP\nF1i12/Xo0UO2tFTp0qVx//59TTk9x4j2sOvUvh9NFSujmCyS4q5evYrWrVtLbqe7u7vj0KFD6V4I\nvGzZspIELvl/SH08ePBAciXU2toaxYsXVzwWZb41a9bIZpSsVKkSfH194eDgoEiftKeD1zXpx8ft\nihUrJrnzeP/+fXz22Wd6x0q+wC/wYXZWMn+FChWSJIsp3VEuW7aspBwfH48nT57oXKogJfoeI6aM\nReajUKFCUKlUkr9rr1+/zpRkUd/vRkB+PBr6txrg8aikV69eoW/fvulqe+jQIdncAx06dJANBS1b\ntiz++ecfTdnQYyQkJEQzU/VHqX0/mipWRnEYKinqzp07aNGihWZ5AODDmOsDBw6gfPny6d5vxYoV\nJeWzZ88a1P706dOScpkyZVJc18uUsShz7dy5E4MGDZKc5JQpUwb//fefolP1a18tT+1On7GPR+39\nkXnSHuaX0jTsbm5ustEamXWMmDIWmbf0LuOTFu2LIoZ8Nz5//tygyXdCQ0NljwBUqFBB7/Zk/oz9\n99PT0xO5cuVSPFZG8c4iKebRo0do2rSp5ETY3t4e+/fvR7Vq1TK079atW0vuDvn7+yMyMhIuLi56\ntT9+/Lik3KZNG7OIRZnn4MGD6Nmzp2QIZ9GiRQ1+ZtbYbt68KVs7KbVnNlq3bi1Zdubj0gr60t6e\nx2PW8Pz5c0k5b968KW7bunVrLFmyRFM+ceIEevbsqVecV69eSZ4Ls7S0RMuWLc0iFpmH58+fyy5e\npHY8ZsT58+cl5dS+GwsVKgRvb2/J0MYTJ07Ax8dHr1jaf6vLli2LokWLGtBbMlSrVq3SNbTyzJkz\nkqGoJUuWlJ1X6roo36JFC8mjHE+ePMHjx4/TXB/5I0PO50wZK8MEkQKCg4NFsWLFBADNj62trTh4\n8KDRYpQvX16y/0WLFunVLioqSjg4OEjaXrx40WxikfGdOnVK2NvbSz6HggULikePHindNTF58mRJ\nv/LlyyfUanWK279580ZYWVlJ2ly/fl2vWMePH5e0c3JyEnFxccZ6KZRJ7ty5I/ncAIjbt2+nuP3B\ngwcl27q7u4v379/rFWvOnDmStg0aNEh1e1PGIvOwfPlyyeeWO3dukZSUZPQ4b9++Fbly5ZLEmjdv\nXqptfvjhB8n2zZs31zte27ZtJW0nTZqU0ZdAmcTHx0fyWY0cOVLvto0aNZK0nT59ul7t4uPjRd68\neSVt//33X7OJlRFMFsnk3rx5I7y9vSUHuZWVldizZ49R48yfP18So2zZsiI+Pj7NdvPmzZO08/b2\nNqtYZFxXrlwRLi4uks/Bw8ND3L17V+muiSdPnggnJydJ34YNG5Zmu44dO0raDBgwQK94HTp0MDgW\nZdy7d+/E27dv092+X79+ks+tRIkSqW4fHx8vvLy8JG2WLl2aZpz379+LIkWKSNqtWrXKbGKRcbx+\n/TrVC1KpSUhIEKVLl07X94+hJk2aJImjUqlEYGBgqm3u3r0rLC0tJW1u3LiRZqw7d+5I2llaWoqA\ngABjvRQysowki2vWrJG0LVCggHj37l2a7VavXi274JzWxVZTxsoIJotkUm/fvhU1atSQHOQWFhZi\n8+bNRo/1/v17UaBAAUmsqVOnptrmwYMHsjt9+iSxpoxFxhMYGCjy5Mkj+Qxy5syp18mDIe7fv29w\nm5CQEFGxYkVJ32xtbfW623nr1i3ZCdGhQ4dSbbNjxw5JLDs7O/Hs2TOD+02Gu3fvnihevLg4d+6c\nwW2XLVsmVCqVwcmY9smGq6trmp/3N998I2lTunRpkZiYaFaxKONWrVolmjZtavD/f7VaLQYMGCD5\n3CwtLYW/v3+KbYKDg/U6Oda2YcMG2XHfu3dvvdoOHjxY0q569eqpXtxNTEwUdevWNUkCTMaRkWQx\nKSlJlCtXTtL+yy+/TLXNy5cvZXe5V6xYYVaxMoLJIplMXFycaNq0qexK4MqVKzMt5rp162TxZs2a\npXNIjL+/vyhYsKBk+4YNG5plLMq4p0+fikKFCkk+AxcXF3Hp0iWjxypQoIBo2bKl2LFjh4iOjk51\nW7VaLXbu3Cm7+ABAzJo1S++Yw4YNk7R1dHQU+/fv17nt1q1bhZ2dnWR7DrEynXv37mm+Mzp27CjO\nnj2bZpvHjx/LTswBiFq1auk15C8pKUlUqVJF0rZo0aI675YkJiaKH3/8URZr3759er0+U8aijFu1\napUAIOzt7cVXX30lHj58mGabCxcuyBIqAGLcuHGpttu0aZNwd3cXEydO1Gu4/MuXL8WXX34pi5M3\nb17x9OlTvV7fs2fPhLOzs6R98+bNRXh4uGzbqKgo2fBTJycn8eTJE71ikTIykiwKIYSvr6/sGBs/\nfrxISEiQbXvv3j1RqlQpybYVK1bU++KWKWOll0qITFoplUjLgAEDsHr1akldkyZN0L9//3Ttr2vX\nrnqteTdkyBAsX75cUleiRAl07doVhQsXRnh4OM6ePYu9e/dCrVZrtilQoADOnTsnW8fJXGJR+iUm\nJqJChQoICAiQ1I8YMQK1atUyeH8uLi5o27Ztir8vUKCAZgKSHDlyoFq1avD29kbhwoXh4uICa2tr\nhIeHIyAgAIcPH8ajR49k+xg+fDgWLVqkd59iYmJQv359XL58WVJfr149NG/eHB4eHnjx4gV8fX1l\nk0Q0btwYBw8elK1BRZnj/v37smWC8uXLh8aNG6NkyZLIkycPbG1tERUVhaCgIFy8eBFnz56VTSJS\nqVIlHDlyBO7u7nrHrV27tmSSMUtLS3To0AE1atSAi4sLgoKCsGXLFtm6Zd9++y1++eUXg16jqWJR\nxqxevRoDBgyQ1JUuXRoNGzZEoUKFkCdPHgghEBERgTt37uDMmTOy71IA6N27N9asWZPqupqbN2+W\nTHjk5eWFqlWroly5csiVKxecnZ0RGxuLV69e4ezZs/Dz80NcXJxkHy4uLvDz80OlSpX0fo179+5F\np06dJBOaOTk5oVevXihXrhxUKhUCAgKwYcMGyWztlpaW2Lp1Kzp16qR3LDK93r17Y8OGDZryyJEj\n8eeffxq0j++//x6zZ8+W1BUqVAg9evRAsWLFEBUVhUuXLmHHjh1ITEzUbJMzZ06cOXPGoKViTBkr\nXTI1FSVKRntIXUZ/QkJC9IqblJQkRowYYdC+S5cuLe7du2fwazRlLEq/t2/fGvVYLFWqVKrx8ufP\nn+59Ozg4iCVLlqTrdb5580bUr1/foHht2rRJ17AwSr/g4GDZSANDflQqlRgyZIiIiIgwOPaNGzdE\n4cKFDYr33Xffpet1mjIWpd+hQ4dkz0ob8mNvby/mzp2r1x3uTZs2Zei7t06dOuLBgwfpep3bt2+X\nPQqS1uvasmVLumKRaWX0zuJHkyZNkg13Tu3Hy8sr1WHX5hLLUEwWyWSUShY/2r9/v6hUqVKq+3R1\ndRWTJk3K8MmyKWOR4UydLPr4+OgcVpraj4eHh5g8eXKGnxtMTEwUCxYsSDNhLVKkiFixYkW6J7ag\njElMTBT79u0TPXv2FG5ubnodI87OzmLIkCEZHjodEREhxo0bJxwdHVONV6NGDXHkyJEsE4vS7927\nd2L58uWiRYsWwtbWVq/jsWDBgmLSpEkGDdE8deqUqFatmmw26tR+VCqVaNSokdi+fXuGZ1m9f/++\n6NKli+QZb+0fCwsL0alTJ7OY9Iz0Y6xkUQghjh07JmrWrJnqMeng4CDGjBmjcyizucYyBIehkslM\nmjQJjx8/Ntr+lixZAkdHR4PbXb9+HcePH8e9e/cQFRUFGxsb5M+fH5999hkaN26MHDlyGK2PpoxF\n+ouLi8OgQYOMtj9PT0+9hsmFh4fjxo0bCAwMRFhYGCIiIhAREYHY2Fg4OTnB1dUVRYsWRY0aNVC6\ndGmoVCqj9TExMRGnTp3CuXPn8PjxY8TExMDBwQFFihRB7dq1UatWrVSHi5HpJCUl4dq1a/D398e9\ne/cQFhaG+Ph4ODk5wdnZGUWKFEGVKlXg7e2tc62w9Hr37h2OHDmCK1eu4MWLF0hISICLiwtKliyJ\nRo0aoWzZslkyFmVMTEwMLl26BH9/fzx+/Bjh4eEAAGdnZ7i6uqJ06dKoUqUKihcvnu7vLLVajQcP\nHuDGjRt49uyZ5rsxMjISFhYWcHNzQ65cuVCxYkXUqFEDrq6uRnyFwMuXL3Ho0CHcvHlTM1Q6V65c\n8Pb2RrNmzZAvXz6jxqPMtXjxYsmi9c2bN0ffvn0ztM87d+7g6NGjuHv3LiIiImBtbY18+fKhSpUq\naNKkCZycnDLabUVi6YPJIhEREREREcnwMjIRERERERHJMFkkIiIiIiIiGSaLREREREREJMNkkYiI\niIiIiGSYLBIREREREZEMk0UiIiIiIiKSYbJIREREREREMkwWiYiIiIiISIbJIhEREREREckwWSQi\nIiIiIiIZJotEREREREQkw2SRiIiIiIiIZJgsEhERERERkQyTRSIiIiIiIpJhskhEREREREQyTBaJ\niIiIiIhIhskiERERERERyTBZJCIiIiIiIhkmi0RERERERCRjpXQHiIjof6Kjo3HlyhU8fPgQkZGR\niI+P1/yudu3aqF27toK9I8p+jh07hsuXLwMA8uTJg759+yrco0/b6tWrERoaCgCoXr066tevr3CP\niLI3JotERGbg2bNnmDhxIrZu3Yq4uDid20yZMoXJIpEJvXnzBl27dsWbN28AAIsWLVK4R5++yMhI\nfPvttwA+JOeBgYFwdXVVtlNE2RiTRSIihQUEBKBevXqaE1IiMg/fffed5v9lqVKlMGTIEMnvT58+\njbNnz5qkL998843m32/evMGqVaskvx85ciRy5MiRrn1rv44iRYqgc+fO6etoBg0fPhwLFy7EgwcP\n8Pr1a0yaNAl//fWXIn0hIkAlhBBKd4KIKDurVKkS/P39NWVnZ2c0a9YMBQoUgJXV/67pNW/eHM2b\nN1eii0TZzvXr11G5cmWo1WoAwIYNG9CrVy/JNpMnT8bMmTNN0p/kp2s3b95E+fLlJb8PCQlBrly5\n0rVv7dfRokULHDhwIH0dNYJVq1Zh4MCBAABLS0vcuHEDZcqUUaw/RNkZ7ywSESno6NGjkkSxXLly\n8PPzS/dJHxEZx8SJEzWJYrFixdC9e3eFe5R99O7dG1OnTsWTJ0+QlJSEyZMnY8eOHUp3iyhbYrJI\nRKSgI0eOSMrfffcdE0UihZ07dw779+/XlMeOHQtLS0vZdnXr1sW4ceP02ueNGzfw33//acrOzs6y\nYa30gbW1NcaMGYOxY8cCAHbu3IkrV66gSpUqCveMKPthskhEpKA7d+5IypUrV1aoJ0T00dy5czX/\ndnBwQO/evXVu17JlS7Rs2VKvfS5fvlySLLq5uWHevHkZ6+gnrH///pg4cSJiY2MBAPPmzcPGjRsV\n7hVR9sN1FomIFBQRESEpOzs7K9MRIgIAPHz4ELt379aUe/Towf+XCnBzc0OXLl005W3btuHJkycK\n9ogoe+KdRSIiBWkvk6FSqYy27wcPHuDu3bt4+fIlwsLCIIRAnz59kDdv3jTbvnz5Ev7+/nj9+jXC\nw8Ph6uqKPHnyoHr16nB3dzdK//z9/XH37l28evUKrq6u8PT0RJUqVT6JafJN8f4l9/jxY9y6dQvP\nnz9HYmIi8uTJg2rVqqFQoUJGixEREYHLly8jJCQEoaGhsLGxgbu7O9zd3VGwYEGUKFHCaLGUtHz5\ncs2zisCHZJGU0bNnT6xfvx4AkJiYiFWrVmHKlCkK94ooe2GySERkQhcuXMCJEyc05efPn0t+v3Tp\nUri4uMja1a9fH9WrV9eUjx8/josXL2rKbdu2RalSpZCQkIBFixZh9erVuHbtmmw/DRs2TDFZjIuL\nw6JFi7Bu3Tpcu3YNuibLtrS0RI0aNTBhwgS0a9cuzderTa1WY/HixViwYAHu3bsn+72trS3atm2L\nCRMm4LPPPgMArFixAuHh4Zptki8hoG3btm14/Pixpjx06FCD7gotXrwY0dHRAAAbGxuMGjVK77aZ\n9f6dO3cOp06d0pSbNWuGihUrAvjwehcuXIiTJ0/qbFulShX8/PPPaNGihd6vI7n4+HgsX74ca9eu\nxaVLl5CUlJTitrly5UKtWrUwdOhQtGnTRlOflJSEBQsWaBIwlUqFkSNHws7OzuD+XL9+XTKUs3jx\n4ujQoYPB+0mJWq3WJCcAkDNnTjRs2NBo+8/qhBCYP3++UfbVrl07lCxZMtVtmjVrBldXV80IjLVr\n1+LHH3806kU1IkqDICIik5k1a5YAYPDPrFmzJPsZN26c5PebNm0Sz549E5UrV051PxcuXNDZr4MH\nDwovLy+D+tS0aVMRHh6u92sPCQkRdevW1WvflpaW4vfffxdCCFGsWDHJ71LTpEkTybZBQUF6908I\nIfLmzatp6+DgoHe7zHz/ZsyYIWm3ePFiER0dLTp37qx3rClTphj0PqT3NQEQI0eOlO2rWbNmkm3W\nr19vcH+EEKJ9+/ay98KYTp48Kdl/r169jLbvv//+W7JvLy+vdO/rxo0bsvc9JCQk3fubNGmSZF8t\nWrTQuV1CQkK6vr90/Wzbtk2vvnXr1k3S7ty5c+l+nURkON5ZJCL6BERFRaFp06aaCXNsbGxQr149\nFClSBAAQGBiIs2fP6rzbtXr1agwZMgSJiYmaOktLS1SuXBnlypWDi4sLwsPDceHCBQQGBmq2OXz4\nMOrUqQM/Pz/kzp071f5FRkaiefPmuHr1qqQ+b968qF+/PvLmzYvQ0FCcPn0aT58+RVJSEsaMGQMn\nJ6d0vyemYor3L7mEhAS0a9dOM5OutbU16tati2LFisHGxgYPHjyAn5+fZIjztGnT4OXlhQEDBugV\nY/Hixfjqq69kdxLz5s2L2rVrw8PDA8CHtf0uX76MoKCgVPc3bNgwHDp0SFNevnw5fHx89OrLRy9f\nvpTMUGpvby9b9zCjku8fABo3bmzU/ZPhGjVqhK1bt2rK+/fvR40aNRTsEVH2wmSRiMiEatSoIZlq\nf/PmzZKhqMOGDYOjo6POdqmZNm0aXrx4AZVKhS+//BLTp0+XPfsXFBQEW1tbSZ2vry8GDhyoSSI/\nDhH8/vvv4enpKYtz6tQpDB06FAEBAQCA27dvo1+/fti/f3+qQ8OGDh0qSRQdHBwwf/58DBo0CFZW\n//tTpFarsXXrVowcORJhYWH46quvYGNjk+prV5Kp3r/k5s6di6dPnwIARo4cienTp8uegwwODkbf\nvn1x+PBhTd24cePQqVMnncOck9u5cydGjBghqatYsSLmzp2Lpk2b6uxnUFAQVq9ejUWLFuncZ/v2\n7eHh4YGXL18C+DCM+v79+yhevHjaL/j/rVq1SpKQd+vWzegTzxw8eFBSrlevnlH3n9VZWFjovVRI\nci9fvsSGDRvSFbN+/fqS8oEDBzB9+vR07YuI0kHhO5tERNlanTp1JEOsnj59qlc77WGoH3/++OMP\nvWMHBweL3LlzS4Z+6jM0LCwsTFSsWFESd+3atSlu7+vrK9nWxsZG+Pn5pRrj2rVrwsnJSedrTI0p\nh6Ga6v3THob68efPP/9MNU5MTIwoXbq0QcM2g4KChLOzs6RNhw4dRFxcXJqvSwghoqKixOnTp3X+\nbuLEiZL9fvfdd3rtUwgh1Gq1KF68uKT9qVOn9G6vj5iYGGFlZaXZv729vUhKSjLa/j+FYajp8f79\ne1GjRg3J/nPlyiUePXqkV/vExESRI0cOTVtra2vx/v17o/WPiFLHO4tERJ+INm3a4KuvvtJ7+9mz\nZyMkJERTnj59umSq+pS4ublh8+bNKF++vOZOz9y5c9GnTx+d2//000+S8g8//IAGDRqkGqNixYr4\n9ddfzXrRclO9f7r06NEDI0eOTHWbHDlyYOrUqZLZPHfs2IEvvvgixTY//fQToqKiNOUKFSpg69at\nsLa21qtfTk5OqF27ts7fDRkyBLNnz9ZMdLN69WrMmDFDcmc5JceOHcP9+/c15TJlyqBOnTp69Ulf\n165dk9y5LFeuHCwsss4KY4sWLYK9vX262p47d87IvfmfQYMG4fz585qyjY0Ndu7cCS8vL73aW1pa\nomzZsrh8+TKAD8Ow/f39ORSVyFSUzlaJiLIzY95ZvHLlit5xIyIiJHfu8ufPL2JjYw3qe/fu3SXx\nr169Ktvm9u3bkm1y5swpoqOj9dp/YmKi7G5SWn+2THVn0VTvnxDyO4sqlUoEBgbqFSM6OlrY2Nho\n2rq7u6e4bXBwsLC1tZXEOnv2rEGvKS0tW7aU7H/Xrl16tevZs6ek3bx584zaLyGEWLFihSRG165d\njbr/zL6zaMwfY91ZnD59umzfK1euNHg/2pM5rVq1yij9I6K0ZZ1LZkRElKJSpUqhcuXKem+/f/9+\nvH37VlPu3r277HnGtCRfHgGAzuUb/vnnH0m5U6dOet/9sLS0NPoEJsZiqvdPl6pVq6a55MBH9vb2\nKFWqlKYcFhaG0NBQndvu379fMinOZ599hpo1a+oVR1/Dhg2TlJcvX55mm7CwMOzatUtTtrGxQd++\nfY3aLwB49OiRpFygQAGjx8hOduzYIVsT8ZtvvtF7kqXktD8L7c+KiDIPh6ESEX0CatWqZdD22olJ\nWsNCdalQoYKkrD3TKfBhXcnkmjVrZlCMFi1amOVkFqZ6/3QxNIHLnz8/bty4oSlHREQgV65csu2S\nr/8JfJiUxtjatGkDT09PvHjxAsCHyUqeP3+O/Pnzp9hm3bp1iI2NlfTLkNlj9fVx8p2PMiNGZhox\nYgRy5MiRrranT5826lDUK1euoG/fvpLZl9u2bYs5c+aka3/an0VwcHCG+kdE+mOySET0CShbtqxB\n2yd/hgj4MEvnw4cPNWWhtcRG8vLHf39cKPsjXXesrl+/LilrJ0hp8fb2Nmh7UzHV+6dLaomVLtqz\n6ya/I5rcx2fCPqpevbpBcfRhZWWFQYMGYcaMGQCApKQkrFq1CpMnT06xzYoVKyTlwYMHG71fAPDu\n3TtJOb2Jl1KmTZum8yKAPiZPnmy0ZPHFixdo164dYmJiNHXly5fHxo0b0/0MqPZnER0dnaE+EpH+\nmCwSEX0CtJfJSMurV68k5blz52a4D+Hh4bK6N2/eSMqGJjrOzs5wcnJKMcFRiqneP10MXS7C0tJS\nUtZeO/Ej7WRV3wlIDDV48GDMnDlTM9HNihUrMGnSJJ1Lcpw7d05yV9TLywtNmzbNlH4lH4ILwKyX\nbDFX79+/R/v27SXLAeXJkwf79u3TuSSQvuzs7GRxiMg0+MwiEdEnwNATsbCwMKP3ISEhQVYXGRmp\n+beFhQUcHBwM3q+x19IzBlO9f7pk1gyd2q8prfUY06tQoUL4/PPPNeVHjx5J1oNMTvuZxkGDBmXa\n69d+5jQ+Pj5T4nyqhBDo378/Ll26pKmztbXFrl27MnzhQTuR104eiSjz8M4iEdEnQN8F3T/SPhEe\nPXq0XksYpEbXCaH2cExD+wlkXnKUEaZ6/0xJ+7PKzPd92LBh2L9/v6a8fPly2fOs7969w5YtWzRl\nS0vLdE2Ooi/tCxm8e2WYqVOnYuvWrZK6v//+O8WlVAyh/Vmk56ITEaUPk0UiomzIzc1NMkR0zJgx\nKFy4sNHjODs7a4ZXqtVqREdHG3yil3zdP3NhqvfPlNzc3CTrRkZERCBPnjyZEqtVq1YoUKAAnj17\nBgDYvXs33rx5g5w5c2q22bRpk+Q5whYtWmTqDKUeHh6Ssr7PkBKwZcsW2URU33//vUFrh6ZG+7PQ\n/qyIKPOY3+VaIiLKdNoTYQQFBWVKHHd3d0nZ0FkMo6OjDUoW03PnMrnkk3KkxlTvnylpv6aPiVxm\nsLS0lExUEx8fj7Vr10q20R6CmlkT23yknexn5uv/lFy4cAH9+/eX1HXs2BEzZ840WgztzyKrX5gh\nykqYLBIRZUPas4zqu8ZfRuPcvHnToPa3bt2SDY9MjfasiYYMJYyLi9N7Ih1TvX+mpL1OZ/JnzzLD\noEGDJJPvJE8Ob9y4IVl2xcPDA23bts3U/iRfjxLgWn76ePbsGTp06CBZ2qRSpUpYt25dhi/cJPf4\n8WNJWfuzIqLMw2SRiCgbaty4saS8b9++TIlTrVo1Sfno0aMGtTd0e+3JcJIPq0zLlStX9N7WVO+f\nKdWvX19STv5MYWYoUKAAWrdurSnfvn0bZ86cAfDhWbfk+vXrl+FnQtNSpUoVSfJq6IWK7CYmJgbt\n2rWTjBbw8PDA3r17jfpMoVqtxq1btzRlS0tL2YUNIso8TBaJiLKhNm3aSE6+L126JFuU3RiSz3oJ\nANu3b9d71k8A2Lhxo0HxtCeJSb7sQlp2796t97amev9MqXXr1pLXdOLECclJemYYNmyYpLx8+XLE\nxsZiw4YNkvpBgwZlaj8AwN7eXnLHODo6Gvfv38/0uFmREAJ9+vTB1atXNXV2dnbYs2cPChYsaNRY\nDx48kKyrWL58edjb2xs1BhGljMkiEVE2VKhQIfTq1UtS9+WXXxp9BsgqVaqgUqVKmnJwcDAWL16s\nV9stW7YYlOwBQNWqVSXlvXv36tXu9evXsrtZqTHV+2dKBQoUQI8ePSR1w4cPz9S7ay1btpQk+Fu3\nbsXq1asly3g0aNAAJUqUyLQ+JNe8eXNJ+dSpUyaJm9VMmjQJO3fulNStXLkS1atXN3os7SHe2p8R\nEWUuJotERNnUjz/+KFmf8caNG+jZs6fBCY9arcbp06dT/P348eMl5UmTJsHf3z/VfT58+BCjRo0y\nqB/Ah+GhyddgO3TokGZoY0ri4uLQp08fzayt+jLV+2dKkydPljz3efLkSYwYMULvhDEhIcGg51It\nLCwkE9dER0dj7Nixkm2GDBmi9/4yKvmwWAA4duyYyWJnFevXr8esWbMkdT/88AN69uyZKfG0P4NW\nrVplShwi0o3JIhFRNlWsWDGsXr1aUrdnzx7UrFkTBw8eTLO9v78/ZsyYgRIlSsDHxyfF7Xr27ClZ\nQ+/du3do1qxZinf9/Pz80LBhQ7x+/RrW1taShCwtrq6u6N69u6YshECnTp1w/vx5ndvfvHkTTZo0\nwX///Qd7e3vZBDmpMdX7Z0qlSpXCH3/8IalbsmQJmjdvnmoSGBERgcWLF6Ns2bJYsmSJQTEHDRok\nGf6aPNl2c3ND586dDdpfRtStWxf58uXTlA8ePAi1Wm2y+Obu3Llzsllpu3btimnTpmVKvKSkJPz3\n33+asqenJ+rWrZspsYhIN66zSESUjXXu3BmLFi3CqFGjkJiYCAC4fv06WrZsiQIFCqBRo0YoWLAg\nnJycEB0djfDwcNy5cwfXr1+XTB6T1oLyq1evRr169fDw4UMAHyaead++Pby9vdG4cWPkzZsXoaGh\nOHnypGQWzp9++gnLli2TrLeXllmzZmHv3r2aO4WvXr1CrVq10LBhQ9SsWRNOTk4IDQ3F2bNncf78\neajVaqhUKqxcuRKjR4826M6gqd4/Uxo8eDCePHmCGTNmaOoOHz6M8uXLo2LFiqhTpw7y5s0LlUqF\n169f48qVK7h06RLi4+MBfFgP0RD58uVD27ZtsWvXLtnvfHx8JHeKM5ulpSV8fHwwb948AB+GJ584\ncQINGzY0WR/M2fbt2xEXF6cp29jYoHz58pg/f77B+2rXrh1KliyZ6jYnTpzA69evNeXevXtLJiEi\noszHZJGIKJsbPnw4ypQpg379+uHJkyea+mfPnmHdunVGieHp6YkjR47g888/x507dzT1N2/eTPGO\n1YQJEzB+/HgsW7bMoFj58uXDnj170LZtW0RGRgL4cIfx2LFjOocV2tra4u+//0b37t0xevRog2IB\npnn/TG369OkoWrQoRo8eLVnn0t/fP80hxOkxbNgwncliZq+tqMugQYMwf/58zdDbLVu2MFlMQXx8\nPH788cd0tS1cuHCayeKWLVs0/1apVBg4cGC6YhFR+nEYKhERoWHDhrh//z6WLl2KSpUq6b1Gmr29\nPapVq4YuXbqkuW3hwoVx9epVTJw4EW5ubiluV6dOHfj6+mL27Nl6919bvXr1cPHiRXTo0CHF12Jj\nY4NOnTrh8uXL6NOnT7pjAaZ5/0ytf//+ePjwIcaNGwcPD480t7e2tka1atVQu3Ztg2M1b94cRYoU\nkdRVq1YNFStWNHhfGVW6dGnJLL4bN26UzMZJphEdHS2ZDbl169ZcX5FIAbyzSESkoJ49e6JmzZqa\nspOTk17ttO90lC5dOsN9sba2xtChQzF06FCEhobi1KlTeP78OUJDQxEbGwtnZ2c4OzvDxcUFbm5u\nKFWqFIoWLQoLC/2vO9rZ2WHmzJmYMmUKjh49irt37+LVq1dwdXWFp6cnateuLUsa0qtEiRLYtWsX\nXr16haNHj+LJkyeIjIxE7ty5UbBgQTRq1Ag5c+aUtBkxYoTmTpqtra1B8TLr/atVqxbGjRunKSef\nXVYfbdu2RYECBTRlfRK/j3LmzIl58+Zh7ty58Pf3x7Vr1/D69WuEh4fDwcEB7u7ucHNzQ8GCBVG1\nalWDnvlMTqVSoXjx4ggKCtLUKXFX8aNvv/0Wvr6+AICoqChs2rQpw/2pUKGC5HN0d3dP975y5col\n2ReADC0nUbduXcn+Uvo+MeYd1rQSv40bN+Lt27ea8jfffGO02ESkP5XgirNERGTGihcvjgcPHmjK\n/LP16Xn27Bm8vLw0k8k4ODggODhY74snmaFRo0bw8/MDAJQtWxY3b97U+44xZYxarUa5cuU0Q9Yb\nN26MI0eOKNwrouyJw1CJiIhIUStXrpTMOtqtWzdFE0UAkuUhbt++jT179ijYm+xl586dkmebtZfq\nICLTYbJIREREiklMTMSKFSskdSNHjlSoN/9Ts2ZNdOvWTVOePn0672qbgFqtlszE26tXL1SvXl3B\nHhFlb0wWiYiISDHr1q2TzCJbt25dVK1aVcEe/c+vv/6qWefz6tWr2LBhg8I9+vStWbMG169fBwA4\nOztrljEhImVwghsiIiJSRGBgICZMmCCpmzp1qjKd0SF//vxYs2YNzpw5AwAICwtTuEefvsjISM1k\nO/Xq1UO+fPkU7hFR9sYJboiIyKxxgptPx6+//gq1Wo3Y2FjcuXMH27ZtQ3x8vOb3bdq0wb59+xTs\nIRERJcdkkYiIzBqTxU+HlZUVkpKSdP6uQIECuHDhAu8kERGZET6zSERERIqqW7cu/Pz8mCgSEZkZ\nPrNIRERmbfDgwQgNDVW6G2QE48aN09xZtLW1Rb58+VCnTh1UrlxZ4Z4REZEuHIZKREREREREMhyG\nSkRERERERDJMFomIiIiIiEiGySIRERERERHJMFkkIiIiIiIiGSaLREREREREJMNkkYiIiIiIiGSY\nLBIREREREZEMk0UiIiIiIiKSYbJIREREREREMkwWiYiIiIiISIbJIhEREREREckwWSQiIiIiIiIZ\nJotEREREREQkw2SRiIiIiIiIZJgsEhERERERkQyTRSIiIiIiIpJhskhEREREREQyTBaJiIiIiIhI\nhskiERERERERyfwf9zxrlf52/9gAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "def slab_analytical(d, n, wvl):\n",
        "    \"\"\"computes transmission as a function of slab thickness (d), refractive index (n), and wavelength (wvl).\"\"\"\n",
        "    rho = (n - 1) / (n + 1)\n",
        "    t = ((1 + rho) * (1 - rho) * np.exp(-2j * np.pi * n * d / wvl)) / (\n",
        "        1 - rho**2 * np.exp(-4j * np.pi * n * d / wvl)\n",
        "    )\n",
        "    return np.abs(t) ** 2\n",
        "\n",
        "\n",
        "transmission_analytical = slab_analytical(t_slab, n_slab, monitor_lambdas)\n",
        "fig, ax = plt.subplots(1, figsize=(5, 4), tight_layout=True)\n",
        "ax.plot(monitor_freqs / 1e12, transmission_analytical, \"k\", label=\"analytical\")\n",
        "ax.set_xlabel(\"frequency (THz)\")\n",
        "ax.set_ylabel(\"Transmitted\")\n",
        "ax.legend()\n",
        "plt.show()"
      ],
      "id": "de819595"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Create Simulation"
      ],
      "id": "fae71710-b5c8-48d5-8f92-4b1b3bdb5473"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "slab = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=(0, 0, -Lz / 2 + spacing + t_slab / 2),\n",
        "        size=(td.inf, td.inf, t_slab),\n",
        "    ),\n",
        "    medium=mat_slab,\n",
        "    name=\"slab\",\n",
        ")\n",
        "\n",
        "# Here we define the planewave source, placed just in advance (towards negative z) of the slab\n",
        "source = td.PlaneWave(\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freqw),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -Lz / 2 + spacing / 2),\n",
        "    direction=\"+\",\n",
        "    pol_angle=0,\n",
        "    name=\"planewave\",\n",
        ")\n",
        "\n",
        "# We are interested in measuring the transmitted flux, so we set it to be an oversized plane.\n",
        "monitor = td.FluxMonitor(\n",
        "    center=(0, 0, Lz / 2 - spacing / 2),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=monitor_freqs,\n",
        "    name=\"flux\",\n",
        ")"
      ],
      "id": "8aefcc1e"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "# simulation with default 12 PML layers\n",
        "pml = td.Boundary.pml()\n",
        "bspec = td.BoundarySpec(x=td.Boundary.periodic(), y=td.Boundary.periodic(), z=pml)\n",
        "sim_default = td.Simulation(\n",
        "    center=(0, 0, 0),\n",
        "    size=sim_size,\n",
        "    grid_spec=td.GridSpec.uniform(dl=dl),\n",
        "    structures=[slab],\n",
        "    sources=[source],\n",
        "    monitors=[monitor],\n",
        "    run_time=t_stop,\n",
        "    boundary_spec=bspec,\n",
        ")\n",
        "\n",
        "# simulation with only 2 PML layers\n",
        "pml_2layer = td.Boundary.pml(num_layers=2)\n",
        "bspec_2layer = td.BoundarySpec(\n",
        "    x=td.Boundary.periodic(), y=td.Boundary.periodic(), z=pml_2layer\n",
        ")\n",
        "sim_2layer = sim_default.copy(update={\"boundary_spec\": bspec_2layer})"
      ],
      "id": "65794ac3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Run the Simulations"
      ],
      "id": "778fe0aa-5d37-449d-a87d-6ecd6707e040"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"d95d88aa64f249b4afcd388983314f86\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:18:44 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.050</span> for the whole batch.                \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"0c1d4d214ac543ccbbec87b6a1a39b76\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:18:45 UTC </span>Batch complete.                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        }
      ],
      "source": [
        "batch = {\"lecture06_FP_default_PML\": sim_default, \"lecture06_FP_2PMLlayer\": sim_2layer}\n",
        "\n",
        "batch_data = web.run_async(simulations=batch, path_dir=\"data\")\n",
        "\n",
        "sim_FP_data = batch_data[\"lecture06_FP_default_PML\"]\n",
        "sim_FP_2layer_data = batch_data[\"lecture06_FP_2PMLlayer\"]"
      ],
      "id": "97b24912"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Postprocess and Plot\n",
        "\n",
        "Now, we compute the transmitted flux, plot the transmission spectrum,\n",
        "and compare it to the analytical result."
      ],
      "id": "46e0f521-b4f7-4be1-ae87-e3dd65de58c3"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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JydHTGeKyA8Sek47nXJdQIl9HznPT5f913i/5+ul6d3KJ5IC+/oBBD3Lbyc3V48N09YfC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\nLELmK1SIv0xrKvgpKITBnwD6i3nruo5uogIXumz5JcgAwT8nE1Hi3Nc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D/3zzDb3UsrIo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zdvHp50szKiPb71+eefR9euXbHnn87t0qVLMXToUHTu3BkjRoxA79690bFjR9SqVQv5+fkoKSnB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\n5FBa0fXXW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IABA7Bw4UJMmjQJU6dOxdy5c7F582YUFhYiKysLtWrVQv369dGnTx8MHDgQ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HDgnXe0fwSPLFxI53xcHDnkkyd73lc4y+aQkUHn+B9/AEePUoK4K0aFkvLl6T1Fi5LD65Jq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\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zlktavbry/WfPKm9y4eGeQygFglsducDp4cMkKHvq5KWV8HClsyxJFBYtwzqaemsEsWmC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\nIiIiIiIiIir0/4qAHrmlndE/AAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, figsize=(6, 4), tight_layout=True)\n",
        "\n",
        "transmission_default = sim_FP_data[\"flux\"].flux\n",
        "transmission_2layer = sim_FP_2layer_data[\"flux\"].flux\n",
        "\n",
        "ax.plot(monitor_freqs / 1e12, transmission_analytical, \"k\", label=\"analytical\")\n",
        "ax.plot(monitor_freqs / 1e12, transmission_default, \"b--\", label=\"default\")\n",
        "ax.plot(monitor_freqs / 1e12, transmission_2layer, \"r--\", label=\"2layer\")\n",
        "ax.set_xlabel(\"frequency (THz)\")\n",
        "ax.set_xlim([200, 400])\n",
        "ax.set_ylim(0, 1.8)\n",
        "ax.set_ylabel(\"Transmitted\")\n",
        "plt.show()"
      ],
      "id": "1f594b40"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As shown in the plot, the transmission result with the default number of\n",
        "PML layers agrees well with the analytical result; however, when there\n",
        "are 2 PML layers, the reflection at the PML boundary results in lots of\n",
        "ripples in the transmission spectrum. Therefore, suppressing parasitic\n",
        "reflection from the boundary with more PML layers is extremely important\n",
        "for obtaining a high-quality simulation result."
      ],
      "id": "4e937168-ccdf-4d27-98dc-db9ab4c45995"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
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