{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Inverse taper edge coupler\n",
        "\n",
        "Note: The cost of running the entire notebook is higher than 1\n",
        "FlexCredit.\n",
        "\n",
        "Fiber-to-chip couplers are essential components in photonic integrated\n",
        "circuits (PICs) that need to couple in/out light using optical fibers.\n",
        "However, the huge mismatch between the mode sizes of a single mode fiber\n",
        "($\\approx 10\\mu m$ in diameter) and a silicon wire waveguide (220 x 500\n",
        "nm) can cause significant coupling loss if they are coupled directly.\n",
        "For this reason, the design of the fiber-to-chip coupling devices is\n",
        "critical for the whole system’s performance and needs to be carefully\n",
        "accomplished. There are two main categories of fiber-to-chip optical\n",
        "coupling devices: [grating\n",
        "couplers](https://www.flexcompute.com/tidy3d/examples/notebooks/GratingCoupler/),\n",
        "where the optical fiber is positioned perpendicularly to the chip plane;\n",
        "and edge couplers, which allow in-plane light coupling by the direct\n",
        "alignment between the fiber and the integrated waveguide facets.\n",
        "\n",
        "In this notebook, we will show an example of using Tidy3D to evaluate\n",
        "the performance of edge couplers built using inverted taper mode\n",
        "transformers of linear, quadratic, and exponential profiles. We will\n",
        "also see how to set up a [Gaussian\n",
        "beam](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.GaussianBeam.html)\n",
        "to simulate the field launched by a lensed fiber and the use of\n",
        "[Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html)\n",
        "simulations to perform parameter sweeps.\n",
        "\n",
        "For more integrated photonic examples such as the [8-Channel mode and\n",
        "polarization\n",
        "de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/),\n",
        "the [broadband bi-level taper polarization\n",
        "rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/),\n",
        "and the [broadband directional\n",
        "coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/BroadbandDirectionalCoupler/),\n",
        "please visit our [examples\n",
        "page](https://www.flexcompute.com/tidy3d/examples/). If you are new to\n",
        "the finite-difference time-domain (FDTD) method, we highly recommend\n",
        "going through our [FDTD101](https://www.flexcompute.com/fdtd101/)\n",
        "tutorials. FDTD simulations can diverge due to various reasons. If you\n",
        "run into any simulation divergence issues, please follow the steps\n",
        "outlined in our [troubleshooting\n",
        "guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/)\n",
        "to resolve it.\n",
        "\n",
        "We start by importing the necessary modules:"
      ],
      "id": "87638a7d-4590-4cf1-8f45-ba5994a87ff3"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# standard python imports\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Tidy3D imports\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web"
      ],
      "id": "82f81593"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation Setup\n",
        "\n",
        "The inverted taper structure is made using an SOI platform consisting of\n",
        "a silicon (Si) substrate, a 3 $\\mu m$ thick silicon dioxide (SiO2)\n",
        "layer, and a 220 nm thick silicon layer covered by 3 $\\mu m$ thick\n",
        "silicon dioxide. As shown in the image below, the inverted taper is\n",
        "defined at the 220 nm thick Si layer, and its main geometric parameters\n",
        "are also defined in the figure. An optical fiber mode with a Gaussian\n",
        "profile (2.5 $\\mu m$ spot-size) is focused at the taper tip and coupled\n",
        "into the output waveguide.\n",
        "\n",
        "<img src=\"img/EdgeCoupler.png\" alt=\"Schematic of the inverted taper edge coupler\"  width=\"400\"/>\n",
        "\n",
        "Definition of the simulation wavelength and materials."
      ],
      "id": "04ba4f21-4391-4cd7-b7fc-0e61fc0beef2"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "wl_c = 1.55  # Central wavelength.\n",
        "wl_bw = 0.100  # Wavelength bandwidth.\n",
        "wl_n = 101  # Number of wavelength points to compute the output data.\n",
        "\n",
        "mat_si = td.Medium(permittivity=3.48**2)  # Taper and substrate material.\n",
        "mat_sio2 = td.Medium(permittivity=1.44**2)  # Box and cladding material.\n",
        "mat_air = td.Medium(permittivity=1.00)  # External medium material."
      ],
      "id": "a81032af"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Definition of the taper size, lensed fiber parameters, and SOI\n",
        "structure."
      ],
      "id": "6fccc291-4fb9-44bd-ae71-a31e1b6ee80b"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "taper_l = 25  # Taper length.\n",
        "taper_w_in = 0.19  # Taper tip width.\n",
        "taper_w_out = 0.50  # Taper output width.\n",
        "taper_t = 0.22  # Taper thickness.\n",
        "\n",
        "# Spot size of the gaussian mode launched by the lensed fiber at the taper tip.\n",
        "spot_size = 2.5\n",
        "\n",
        "box_thick = 3.0  # Silicon dioxide box layer.\n",
        "clad_thick = 3.0  # Silicon dioxide layer covering the taper."
      ],
      "id": "ef32e8f3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Calculated parameters and constants used in the simulation set up."
      ],
      "id": "dc6196c4-01ad-4bc0-860a-0febe598ccdf"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Extra space around the taper at x,y directions.\n",
        "pad_x = 1 * wl_c\n",
        "pad_y = 1.5 * wl_c\n",
        "\n",
        "# Wavelength and frequency values.\n",
        "wl_range = np.linspace(wl_c - wl_bw / 2, wl_c + wl_bw / 2, wl_n)\n",
        "freq_c = td.C_0 / wl_c\n",
        "freq_range = td.C_0 / wl_range\n",
        "freq_width = 0.5 * (np.max(freq_range) - np.min(freq_range))\n",
        "run_time = 30 / freq_width\n",
        "\n",
        "# Large number to be used in replacement of td.inf when necessary.\n",
        "_inf = 1e3"
      ],
      "id": "43c94194"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Function to create the inverted taper geometry based on the work of [G.\n",
        "Ren et\n",
        "al. (2013)](https://www.sciencedirect.com/science/article/abs/pii/S0030401811006389)."
      ],
      "id": "657148d6-2e88-4738-a990-5dbc4728473d"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# List of inverted tapers names.\n",
        "tap_names = [\"linear\", \"quadratic\", \"exponential\"]\n",
        "\n",
        "\n",
        "def get_taper(\n",
        "    taper_shape=\"linear\",\n",
        "    init_coord=[pad_x, taper_w_in / 2],\n",
        "    end_coord=[pad_x + taper_l, taper_w_out / 2],\n",
        "):\n",
        "    \"\"\"Return a polygon composed of the taper vertices given the desired shape.\"\"\"\n",
        "\n",
        "    x0 = init_coord[0]\n",
        "    x1 = end_coord[0]\n",
        "    y0 = init_coord[1]\n",
        "    y1 = end_coord[1]\n",
        "    x = np.linspace(x0, x1, 41)\n",
        "\n",
        "    tap_name = \"linear_tap\"\n",
        "    if taper_shape == \"quadratic\":\n",
        "        alpha = ((x - x0) / (x1 - x0)) ** 2\n",
        "        tap_name = \"quadratic_tap\"\n",
        "    elif taper_shape == \"exponential\":\n",
        "        alpha = np.expm1((x - x0) / (x1 - x0)) / np.expm1(1)\n",
        "        tap_name = \"exponential_tap\"\n",
        "    elif taper_shape == \"linear\":\n",
        "        alpha = (x - x0) / (x1 - x0)\n",
        "    else:\n",
        "        print(\n",
        "            \"taper_shape is neither 'linear', 'quadratic', or 'exponential'!\\n\"\n",
        "            + \"Linear taper shape returned!\"\n",
        "        )\n",
        "        alpha = (x - x0) / (x1 - x0)\n",
        "\n",
        "    y = y0 + alpha * (y1 - y0)\n",
        "    upper_bound = [[xv, yv] for xv, yv in zip(x, y)] + [[_inf, y1]]\n",
        "    lower_bound = [[_inf, -y1]] + [[xv, -yv] for xv, yv in zip(x[::-1], y[::-1])]\n",
        "    taper_polygon = upper_bound + lower_bound\n",
        "\n",
        "    # Inverted taper structure using a PolySlab.\n",
        "    taper = td.Structure(\n",
        "        geometry=td.PolySlab(\n",
        "            vertices=taper_polygon, axis=2, slab_bounds=(-taper_t / 2, taper_t / 2)\n",
        "        ),\n",
        "        medium=mat_si,\n",
        "        name=tap_name,\n",
        "    )\n",
        "    return taper"
      ],
      "id": "808c72d2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Function to create the simulation object. Since the box and cladding\n",
        "oxide layers are considerably thick, the silicon substrate and the upper\n",
        "air layer will be removed from the simulation, so being possible to take\n",
        "advantage of the symmetry along the z-axis. In addition, we will insert\n",
        "the Gaussian source directly into the taper tip to reduce the simulation\n",
        "cost further."
      ],
      "id": "7cce4809-a0fb-4df2-815b-adef84965e16"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_simulations(\n",
        "    tap_length=taper_l,\n",
        "    tap_w_in=taper_w_in,\n",
        "    tap_w_out=taper_w_out,\n",
        "    tap_t=taper_t,\n",
        "    tap_names=tap_names,\n",
        "):\n",
        "    \"\"\"Return a dict of simulation objects for the content of 'tap_names'.\"\"\"\n",
        "\n",
        "    size_x = tap_length + 2 * pad_x\n",
        "    size_y = tap_w_out + 2 * pad_y\n",
        "    size_z = box_thick + clad_thick + tap_t\n",
        "\n",
        "    # Gaussian source focused at the taper tip.\n",
        "    # The Gaussian source must be placed at a plane within a uniform medium.\n",
        "    gauss_source = td.GaussianBeam(\n",
        "        center=(0.99 * pad_x, 0, 0),\n",
        "        size=(0, size_y, size_z),\n",
        "        source_time=td.GaussianPulse(freq0=freq_c, fwidth=freq_width),\n",
        "        pol_angle=0,\n",
        "        direction=\"+\",\n",
        "        num_freqs=7,\n",
        "        waist_radius=spot_size / 2,\n",
        "    )\n",
        "\n",
        "    # Field monitor to visualize the fields throughout the length of the taper.\n",
        "    field_monitor_xy = td.FieldMonitor(\n",
        "        center=(size_x / 2, 0, 0),\n",
        "        size=(size_x, size_y, 0),\n",
        "        freqs=[freq_c],\n",
        "        name=\"field_xy\",\n",
        "    )\n",
        "\n",
        "    # Field monitor to visualize the Gaussian input fields.\n",
        "    field_input = td.FieldMonitor(\n",
        "        center=(pad_x, 0, 0),\n",
        "        size=(0, size_y, size_z),\n",
        "        freqs=[freq_c],\n",
        "        name=\"field_input\",\n",
        "    )\n",
        "\n",
        "    # Field monitor to visualize the fields at the output waveguide.\n",
        "    field_output = td.FieldMonitor(\n",
        "        center=(size_x - pad_x / 2, 0, 0),\n",
        "        size=(0, size_y, size_z),\n",
        "        freqs=[freq_c],\n",
        "        name=\"field_output\",\n",
        "    )\n",
        "\n",
        "    # Mode monitor to get the power coupled into the fundamental TE mode.\n",
        "    mode_spec = td.ModeSpec(num_modes=1)\n",
        "    mode_monitor = td.ModeMonitor(\n",
        "        center=(size_x - pad_x / 2, 0, 0),\n",
        "        size=(0, size_y, size_z),\n",
        "        freqs=freq_range,\n",
        "        mode_spec=mode_spec,\n",
        "        name=\"mode_0\",\n",
        "    )\n",
        "\n",
        "    # Silicon dioxide box + cladding layers\n",
        "    sio2_medium = td.Structure(\n",
        "        geometry=td.Box.from_bounds(rmin=(pad_x, -_inf, -_inf), rmax=(_inf, _inf, _inf)),\n",
        "        medium=mat_sio2,\n",
        "    )\n",
        "\n",
        "    # Simulation definition\n",
        "    sim_tap = []\n",
        "    for t_name in tap_names:\n",
        "        taper_poly = get_taper(\n",
        "            t_name,\n",
        "            init_coord=[pad_x, tap_w_in / 2],\n",
        "            end_coord=[size_x - pad_x, tap_w_out / 2],\n",
        "        )\n",
        "\n",
        "        sim_tap.append(\n",
        "            td.Simulation(\n",
        "                center=(size_x / 2, 0, 0),\n",
        "                size=(size_x, size_y, size_z),\n",
        "                medium=mat_air,\n",
        "                grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=wl_c),\n",
        "                structures=[sio2_medium, taper_poly],\n",
        "                sources=[gauss_source],\n",
        "                normalize_index=0,\n",
        "                monitors=[field_monitor_xy, field_input, field_output, mode_monitor],\n",
        "                boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML(num_layers=20)),\n",
        "                symmetry=(0, -1, 1),\n",
        "                run_time=run_time,\n",
        "            )\n",
        "        )\n",
        "    sims = dict(zip(tap_names, sim_tap))\n",
        "    return sims"
      ],
      "id": "6ad994bf"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Comparison between inverted tapers with different shapes.\n",
        "\n",
        "We start our analysis by comparing the response of inverted tapers with\n",
        "3 different geometries: linear, quadratic, and exponential. Then, before\n",
        "running the simulations, we will visualize the shapes of the inverted\n",
        "tapers and examine the simulation set up to see if everything is\n",
        "correct."
      ],
      "id": "72389301-135e-4771-b78f-11142f937c22"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Get the list of simulation objects.\n",
        "sim_tap = get_simulations(tap_length=taper_l)"
      ],
      "id": "6d9c61f1"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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          }
        }
      ],
      "source": [
        "# Structure visualization.\n",
        "fig, axs = plt.subplots(3, 1, tight_layout=True, figsize=(8, 6))\n",
        "for sim_s, tap_n, ax in zip(sim_tap.values(), sim_tap.keys(), axs):\n",
        "    sim_s.plot_structures(z=0, ax=ax)\n",
        "    ax.set_xlim(0, 2 * pad_x + taper_l)\n",
        "    ax.set_ylim(-1.5 * taper_w_out / 2, 1.5 * taper_w_out / 2)\n",
        "    ax.set_aspect(\"auto\")  # Used to better visualize the shapes.\n",
        "    ax.set_title(tap_n)\n",
        "plt.show()"
      ],
      "id": "199f21e0"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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11Ial9cGGPuK6dbhlucOrLcIrlhlRUgRO/dKgNCyHALT9PapUgQQoHNYpAXrbAAEBDC\nBcVVGHCxYqcNxx2ZADz/H+XsxciQnQjR40eGDAibel+goAgQbgcybU6dAujPLpV9zjncdrhcVsgn\nv6zIshXBbgl9yoDdWgKb5ESRMwsA4HJZYZOcYd3XSJif+Zmf+Zmf+QHmZ37mZ37mD4X5mZ/5mZ/5\n0z9/iWSHBAmQZG05WVbgEhYoJ/t/AjIUIWD102MKh6fdqN+ZCpwSh9KOp1l/6kVikdwRNdxtFgUW\nrxeoW1jgdKfOS+VUs96jnL04ooZ7ps2JcvZi7ffjjkwUO21B7mEsDrdd+8ABwv+wUtktDmTZirTf\ni5xZcLhT5yq8zM/8zM/8KuZnfuZn/nAxP/MzP/OrmJ/5mZ/5U0Ws+a2SG7JX/08RFriEMaYH4hH2\npAshTh5lLyX3ie1yS3CL0tPgSIj0Wy6bFZDcQpsexy0skBQ5+dPjSBIgSZAkK2RrTpmbixwyjjst\n6kWvkZvpRpbdDiCyN9xsq+e/Up0e57gzB5LFmNPjOBwl2s9Ot1U7pQvwnAYFWYJDZEQ2qAxYrS5t\nrEJnDpzCZvjTw5if+Zmf+VXMz/zMz/zMz/wRYX7mZ37mZ34AzJ+O+RVhgYAMIQBF8j0gV5YEhFC0\n6XEUYYFTSEmfHocNe9KVJCXvSHT/F5j1XAM6GjYrAK8xPc17ye9FaxPq5Bcjkuybq8gBHC+RtemJ\nPBeYtSDaU3KyMwFJPnXR2uMlMiTZ/0Vrk0k5Oe2PvwuMWCyAEuXbnMUC2ODWxixxZUDA4veiJUbA\n/MzP/MyvYn7mZ37mZ37mjwbzMz/zMz/zMz+QfvmF1heUvH4+RZYFFEXxmdPerXj+PVlSZ54PoiD8\nN+tjH9dm9YylcimedRlNkeNUYx1Qm/Wxj5tl94ylKiiSUWTA6czCvRp4pFLl6unMz/zMz/wq5md+\n5mf+WDE/8zM/86uYn/mZn/mNJl75ZVlAwqn+l+dCtNEdAKwHNuwp5cWrWa8yetM+Xs16ldGb9vF6\ns1YZ/UOL+Zmf+ZlfxfzMz/zMrxfmZ37mZ34V8zM/8zO/UcQ7v5Ga9mzYU0qLd7NeZdSmfbyb9Sqj\nNu2LHIjrm7XKqB9a8f6wUjE/8zM/86uYn/mZn/mTjfmZn/mZX8X8zM/8zK83ozTt2bCnlJWoZr3K\naE37RDXrVUZr2pfOH683a5XRPrQS9WGlYn7mZ37mVzE/8zM/8ycL8zM/8zO/ivmZn/mZP16M0LRn\nw55SUqKb9SqjNO1d7sQ261VGadonulmvMsqHVqI/rFTMz/zMz/wq5md+5mf+RGN+5md+5lcxP/Mz\nP/PHW7Kb9mzYk04S96RNVrNeleymvaIATq/3pkQ161XJbtonq1mvSvaHVrI+rFTMz/zMz/wq5md+\n5mf+RGF+5md+5lcxP/MzP/MnSjKb9glsc6aH5cuX44cfftB+Hzx4MCpUqKDL2EeOHMHcuXOxa9cu\nZGRkoEGDBujUqROs1vD/m/QYIzoSRAKa9slu1qtsVgBe2+JSPL/He1sUBRAALCf71Ylu1qs861S0\nxrnn7/hvi79pgIociXuzVqkfEOoHh/p3vD84kv1hpWJ+5geYn/mZ3/tv5mf+eGJ+5md+5lcxP/Mz\nP/Mnmtnzy7KAoigQJ4959zTtFciyiOt62bCPQHFxMXr16oUNGzZo/3bLLbfE3LAvKSnBs88+i9Gj\nR8Ph8D1U+bTTTsM777yDXr16xX0MPTjj2LQ2SrNeleimvdPladarktWsVyW6aR9ozv5kzaOf6A8t\no3xYqZif+QHmZ37m9/6b+Zk/Hpif+Zmf+VXMz/zMz/zJYvb8yWjas2EfgWeffRYbNmyAJEkQQp//\nFEVR0KtXL3z33XcAgJYtW+LSSy9FYWEhZs6ciQMHDqB3797Iz8/H3XffHbcx9BKvprXRmvWqRDXt\nS+e3WZDUZr0qUU37RF9gN1yJ+tAy2oeVivmZH2B+5md+77+Zn/n1xPzMz/zMr2J+5md+5k82s+dP\ndNOec9iH6Z9//sGoUaNQrlw59OnTR7dx33//fa3R/vTTT+Pff//F22+/jY8++ggbN27ExRdfDAB4\n4IEHfI7s13uM2J16guo9p7tRm/WqeM9pXzq/RQasybs4dxnxntPeqM16ldUS3zndjPphpWJ+5md+\n5lcxP/MzP/PrhfmZn/mZX8X8zM/8zG8UiZzTng37MDgcDgwcOBButxuvvvoq6tSpo9u4L7/8MgCg\nXbt22s+q8uXL4/PPP4fdbofL5cJLL70UlzH04fuNkl5Na6M361XxatqXzi8BkA34qo1X097ozXpV\nvD60jP5hpWJ+5md+5lcxP/MzP/PHivmZn/mZX8X8zM/8zG80iWraG7D1aTwvvfQSVq9ejfPOOw8P\nPPAAnnrqKV3GnTt3LvLy8gAA999/PySp7H9wnTp10KNHD8yYMQPffvstiouLkZmZqesYepEgYJEB\n18knqmd6GAGrJbrTQ1xuSRsLAKyyZyydZiPSneeodymu+QXg+W5EKBCKjofx6yDTCogMGQXFnjfq\nYycAobiRZVdC3NO/Ioc6luf+uZluZFoViFLDyTDG42C3uCDBDYfL842C02WBBDdslui2z+m2nhzD\n8/yxWx1Rj5UIzM/8zM/8zM/8APMzP/MzP/MzP/NHg/mZn/njl1+C7eRPQltHLCyygFtBmelx9MSG\nfQj//vsv3njjDVitVnz00UeQdTy8ec6cOdrPXbp0Cbhcly5dMGPGDBQWFuKvv/7CZZddpusYelC/\nJ7DKLgghwy08TVuXIkEIBTZLZE9cp1uGW5x6rC2SG1ZZKX0gv+FYZcQ1v9NtASAghAuKq1DPTddF\nhgwImw3HHZ4vhAqKAOF2INPmjGicYqc6hufb1HL2YmTITvj7jsIuGecbV7u1BDbJiSJnFgDA5bLC\nJjlht0R2uoHDbYfLZYV88suKLFtRxGMkA/MzP/MzP/MzP8D8zM/8zM/8zM/8kWB+5mf++OYvkeyQ\nIAGSrK0nVrKswCUsUE72/zzNe/2algacXMM4nE4nBg4cCJfLhSFDhqBly5a6jr969WoAQLVq1VCj\nRo2Ay7Vo0aLMffQcQ282iwKLVxPVLSxwusN/qnma1adOp7FI7ogb3slk9vyZNifK2Yu13487MlHs\ntAW5h69TzXqPcvbiiBv+yWS3OJBlK9J+L3JmweEOfx4fh9uufeABqfNhrWJ+5md+5lcxP/MzP/OH\ni/mZn/mZX8X8zM/8zJ8qrJIbss9BpPpNjcMj7IMYNmwYli9fjjPPPBMvvPCC7uNv27YNAELOie99\n+9atW3UfI5QjR44EvC0/Px8AIMTJo+wlT6PZZgUkt9CmdHELCyRFDjk9jMstwS1KT4MjATDQVVbD\nELf8kgRIEiTJCtmaE6/Nj1m21fNUUKfHOe7MgWQJPT1OkUPGcadFe4/LzXQjy24HEPgN3+Eo0Wuz\n9SMDVqtLOz2s0JkDp7CFPKXL6bZq9wE8p4FBluAQGXHdXN0xP/MzP/MzPwDmZ37mZ37mZ37mD4b5\nmZ/5mV8Vz/yKsEBAhhCAIul77LosCQihaNPj6IUN+wBWrVqFV199FQAwZswYZGdn676OY8eOAQBy\nc3ODLud9e0FBge5jhFK5cuWwlvO0or2azRZAQMCtzenumSnKFqD37nRDWxbwzAmlzgufiuKT3/Oz\nkGQIg3+JkWn35D9e7HnTKii2QkBBlt3/lxZFDklbFgDKZSrItEshc3qfjWAksixgtbjgdHvOLihx\nZUARcsCLprjcFm1ZALBZnJBlYdh8oTA/8zM/8zM/8wPMz/zMz/zMz/zM7w/zMz/zJy7/qUNHJYg4\n9BhlWUBRTjXt9ZjPng17P9xuN26//XY4HA706dMHV111VVzWU1TkOW3Ebg9+ukhGxqlvl9T76DmG\nfiQUO/01YwXURrNbkeBWAh1l7v2i8VzAwZ06M8EEoWd+ATcE3G439hUb8MhyPxRYoJy8wEeJE5Dh\nhAx3gGU8/y7DiaNON44memN15wIgTuVXrHA6RYD8Vqhfe8lwwq244U6dmYACYH7mZ37mZ36A+Zmf\n+Zmf+Zmf+b0xP/MzP/MnMr+CU017txL/2eGPHTuGKlWqxDQGG/Z+jBgxAkuWLEGlSpUwatSouK0n\nKysLx44dg8MRfH6mkpJTjdmsrCyf2/QYI5TDhw8HvG379u1o1aoVXnjx1YjGJCIiIiIiIiIiIiJf\npmnYL1myBLNnz/Z7W6NGjXDzzTcDANavX6/NVz98+HBUr149btuUm5uL/fv34/jx40GX857CpvTU\nN3qMEUqlSpUC3pabm4stW7YAAMqXLw9Z5nWM4yU/Px/169cHAGzZsgUVK1ZM7gYRpSm+1ogSh683\nosTh640ocfh6I0oMvtbIKBRF0aYtD3Wd0XCYpmG/aNEiPPvss35v69Gjh9awnzNnDoqLi1GuXDns\n2bMHr7zySpnl//rrL+3n9957DxUrVkR2djYeeeSRiLapXr162LRpE3bu3Bl0Oe/b69Wrp/sYsbBa\nrTjzzDN1G4/CU7FixaBfpBCRPvhaI0ocvt6IEoevN6LE4euNKDH4WqNki3UaHG+madi3bdsWTz/9\ntN/bzjnnnDL/dvz4cTz33HMhxx05ciQAz39KpA37pk2bYu7cuThw4AAOHDiA0047ze9yq1atCrit\neoxBRERERERERERERMlnmoZ9u3bt0K5du5DLBWvsq37//XftKPsHHngAFSpUQE5OTsTbdPnll2P0\n6NEAgLlz56Jv375+l5s7dy4AIDs7G+3bt9d9DCIiIiIiIiIiIiJKPtM07MMVTmP/iSee0Br2//vf\n/6KeYqZLly6oUqUKDh06hDFjxvhttu/ZswfffPMNAODaa69Fdna27mMQERERERERERERUfLxCqFx\nNG7cOLzyyisYMWKE39szMjLw1FNPAQD+/PPPMvPlFxYW4pZbbkFJSQksFovfKXr0GIOIiIiIiIiI\niIiIko9H2MfR22+/jfXr16NChQp49NFH/S7z0EMPYe7cuZg1axaeffZZ/Pjjj+jYsSMKCwvx9ddf\nY/fu3QCAt956C02aNInbGERERERERERERESUXGzYJ5nFYsFXX32Fxx9/HGPHjsWiRYuwaNEi7fZK\nlSph1KhRGDBgQFzHICIiIiIiIiIiIqLkkoQQItkbkWp++eUXzJ8/HwDw6KOPomLFin6XGz16NPLy\n8pCVlRXyQrYAcODAAfz888/YuXMnMjIy0LBhQ1xxxRXIyMgIe9v0GIOIiIiIiIiIiIiIEo8NeyIi\nIiIiIiIiIiIiA+BFZ4mIiIiIiIiIiIiIDIANeyIiIiIiIiIiIiIiA2DDnoiIiIiIiIiIiIjIANiw\nJyIiIiIiIiIiIiIyADbsiYiIiIiIiIiIiIgMgA17IiIiIiIiIiIiIiIDYMOeiIiIiIiIiIiIiMgA\nrMneAKJ043A4sH37dhw9ehQ1atTA6aefbtj1JGpbifSyceNG7N+/P+Ry2dnZaN26tW7rPXbsGLZv\n3w63240zzjgDlStXTsoYRPFy9OhRrF27Fi6XCwBw8cUXRzxGcXExtm/fjuPHj6NmzZqoVauW3pup\n23oSta1E/uzcuRM7duyAEAIVK1ZEs2bNQt5nzZo1OHz4cMjlKlSogObNm+uxmQCAI0eOYMeOHZAk\nCXXr1kWFChWSMgZRpFwuF/bv3499+/bBZrPh9NNPj7r22r17N/bu3Yvy5cujbt26yMjI0Hlr9VtP\noraVyNuJEyewb98+HDx4EOXKlUP9+vWRmZkZ8n75+flYtWpVWOto1aoVcnJyYt1UAIDT6cT27dtx\n5MgRVK9eHXXq1IEkSQkfgygoQUS6OHz4sLjnnntE+fLlBQDtz9lnny3GjBkjFEUxzHoSta1Eehsw\nYIDPczbQn0aNGumyvhUrVoirrrpKWCwWbWxJkkSHDh3E/PnzEzYGkd727t0r3n//fTFgwADRuHFj\nIUmSz2vI6XSGPda+ffvEgAEDRE5Ojs8YTZs2FZMnT9Ztm/VYT6K2lcjbsmXLxGuvvSZ69Oghatas\n6fPc69y5c1hjdOvWLazPv4suukiXbf77779Fx44dhSzL2tgWi0V06dJFLF26NGFjEEVi7ty5YsiQ\nIaJVq1Y+zzv1T7NmzcSYMWOE2+0Oa7wPPvhANGzY0GeM3Nxccdddd4lDhw7ptt16rCdR20okhBBO\np1NMnDhRDBgwQNStW7fMa81ms4kuXbqIX3/9Neg4s2bNCuuzDYD4999/Y97ugoIC8fDDD4vKlSv7\njF23bl0xYsSIsN4b9BiDKBxs2BPpYOfOneKMM87Q3qxPP/100bp1a5Gbm6v9W+/evWNuhOuxnkRt\nK1E8qA377OxscdFFFwX807dv35jX9cMPPwi73a412Js0aSKaNWumNd5lWRbjx4+P+xhE8fDpp5/6\n7GSUL1/eZ8cj3Ib9+vXrRbVq1Xx2Vlq1aiWys7O1f7v//vtj3l491pOobSUqrV+/fj6vt1q1agmb\nzRZVw758+fJBP//uvffemLf3008/1T6nLBaLaNasmWjSpIn2xZ7NZhNff/113McgilSbNm18XmvV\nqlUTbdq0EU2bNvU5cKJjx47i+PHjAcdRFEXccsstPo3v1q1bi9NPP137tzp16ogdO3bEtL16rCdR\n20rkLS8vr0xDvV69eqJt27ZlGvjPPPNMwHG8G/atWrUK+vm2cePGmLe5UaNG2vpq1qwp2rRpIypU\nqKD9W7du3YLWwHqMQRQuNuyJYqQoijj//PO1JuL06dO1244fPy7uu+8+7c37jTfeSOp6ErWtRPGi\nNuybNm0a1/Vs27ZNOwK3YcOGYtWqVT63qa8jq9UqlixZErcxiOJl7ty54t577xUTJ04Uq1evFoqi\n+JzBEs6ORklJiXY0X8WKFcVPP/2k3XbkyBHRt29fbbyPP/446m3VYz2J2lYif0aOHCmeeOIJ8fXX\nX4vdu3cLIYSoXr16VA37Sy+9NI5bKsTKlSu1L5pbtWolNm/erN22du1acc455wgAIisrK2DzRI8x\niKLRpk0bUb58efHwww+LlStX+ty2d+9ecfPNN2vv9bfcckvAcUaMGKEtd/fdd4uCggLtthkzZmhf\n9LZp0yamo2n1WE+itpXIm9qwr1+/vhg1apTYs2ePz+2LFy8WTZo00Z6bn332md9xvBv2//33X1y3\n+fLLLxcAhN1uFxMnTtQOUCwqKhJDhw7VtuPJJ5+M6xhE4WLDnihG06ZN096Y33///TK3K4oiOnXq\npB0VFe0piXqsJ1HbShQviWrY33bbbVoxtnbt2jK37927V1SsWFEAEJdffnncxiBKpEgb9u+99562\nvPcXwCqn0ylatWqlHYFUVFQU1XbpsZ5EbStRuIzasO/evbt2lO7OnTvL3L5p0yaRmZkpAM8ZmfEa\ngyga77zzjjhw4EDA291ut7jkkku0z4OtW7eWWebIkSNafXbJJZf4Pet43LhxIRuRoeixnkRtK1Fp\nR48eFaNGjRIOhyPgMrt379am4A00XWmiGvazZ8/W1vPqq6/6Xea6664TAERmZqbYtWtXXMYgigQb\n9kQxuuKKKwTgOeWypKTE7zK//PKL9ub+0UcfJW09idpWonhJRMO+sLBQZGVlCQCiV69eAZd75JFH\ntNdK6dOM9RiDKNEibdi3bt1aAJ7rnwSaRu3zzz/Xxvzmm2+i2i491pOobSUKlxEb9vv27dPm/Q42\nPdStt96qfSF99OhR3ccgiqepU6dq7/WffPJJmdsnTJig3T5r1iy/Yzgcjohfw/FYT6K2lSha3rXl\n/v37y9yeqIZ9z549BQBRrlw5n7NQvP3zzz/atgwfPjwuYxBFQgYRRe3EiRP4/fffAQBXXnkl7Ha7\n3+U6deqkXdH8hx9+SMp6ErWtRKnu119/RVFREQDgmmuuCbhc9+7dtZ9//PFH3ccgMrK9e/di2bJl\nADzPY0mS/C7XtWtXyLKn3IzmM0WP9SRqW4lS3U8//QRFUQCE99nlcDjwyy+/6D4GUTzVrFlT+/nQ\noUNlblff/7OystC5c2e/Y9hsNlx55ZUAgHnz5qGgoCDi7dBjPYnaVqJohXq9JYKiKJg1axYAoGPH\njihXrpzf5dq2bYvq1asDKFsH6jEGUaTYsCeKwZo1a+B0OgEA5513XsDlrFYrWrZsCQBYsWJFUtaT\nqG0lSpTCwkKsXLkSS5YswdatWyGE0GVc7+d9sNdK27Zt/d5HrzGIjCzc53iFChXQoEGDMvdJ5HoS\nta1EiXLs2DGsWLECS5cuxfbt23Ubl59/ZAbr1q3TflYba97U5+O5554Lm80WcBz1OexyubBmzZqI\nt0OP9SRqW4mi5f16O+2004IuqygKNm7ciH/++Qdr167VDn6K1ZYtW7QvqoJ9LnnfvnLlSt3HIIoU\nG/ZEMdi4caP2c7169YIuW7duXQDA9u3b4XA4Er6eRG0rUSKsX78eFStWxLnnnou2bduifv36qFq1\nKu644w5s2rQpprG9Xyvqa8GfcuXKoXLlymXuo9cYREYWzWdKNM9xPdaTqG0lSoS///4blSpVQsuW\nLXHeeeehXr16qF69OgYPHoxdu3bFNLb6vC9XrhyqVKkScLnTTz8dFovF5z56jkEUL0IIfPzxxwAA\nWZbRsWNHn9tdLhe2bt0KIPzPCyDy57Ae60nUthJFa/fu3dpR6S1btgz6mQAA7dq1Q8OGDdGuXTuc\nc845qFChAjp16oTvv/8+pu2Ipg48cuQIDh48qOsYRJFiw54oBvn5+drPlSpVCrqsersQAseOHUv4\nehK1rUSJ4Ha7UaVKFbRp0wbnnHMOrFYrDh8+jI8//hgtW7bEV199FfXY6mslKysLmZmZQZdVXyve\nry+9xiAysmg+U44dOxbxmTB6rCdR20qUCC6XCzVq1EDbtm3RuHFjWCwWHDhwAO+99x5atGiBuXPn\nRj22+loJ9TqxWq3adACBPv9iGYMoXj744AMsXrwYANC/f3/UqlXL5/aCggJtSqdwPy+AyJ/Deqwn\nUdtKFK0HHngAJSUlAIChQ4eGXN5ut6Np06Zo3bo1KlWqBKfTiT/++APXXnstBg0apD3fIxVNHVj6\nfnqMQRQpNuyJYlBYWKj9HKopl5WV5fd+iVpPoraVKJ7at2+PL7/8EkePHsW+ffuwZMkSrF69GkeO\nHMHw4cORmZmJwsJC9O3bF0uWLIlqHepzPtTrBDj1Win9OtFjDCIji+YzRQiBEydOJHw9idpWoni6\n/PLLMXPmTBQUFGD37t3alAF5eXl4/vnnYbVaceTIEVx//fVRH0HLzz9KZ4sXL8aQIUMAADVq1MDw\n4cPLLMN9OyJ9DB8+HN9++y0AoFu3bujdu7ff5apVq4YRI0Zg69atOHr0KFatWoWlS5fi0KFD+Pnn\nn9GwYUMAwIQJE/Dss89GtS18vVGqYsOeKAbecwW63e6gy7pcLr/3S9R6ErWtRPF011134cYbb0Ru\nbq7Pv5crVw6PPvoovvnmGwCei9g9+eSTUa1Dfc6Hep0Ap14rpV8neoxBZGT8/CNKrIcffhjXXHMN\nsrOzff69UqVKeOGFFzBx4kQAwPHjx/Hcc89FtQ5+/lG62rZtG3r06IHi4mLY7XZMmzYN1apVK7Mc\nP9uIYvf111/jiSeeAACcddZZmDRpUsBl27Rpg//9739lppmRJAlXXHEF/v77b9SvXx8AMGLECOzZ\nsyfi7eHrjVIVG/ZEMfC+Oniob0+9j9QLdFXxeK4nUdtKlExXXXUVunbtCgD47bffcPjw4YjHUJ/z\n4Rxdqy5T+nWixxhERhbNZ4rNZoPdbk/4ehK1rUTJdMstt6Bdu3YAgO+//z6qaxCpr5VwjggM9fkX\nyxhEetq3bx+6dOmCvXv3wmKx4PPPP8ell17qd1nu2xHF5tdff0Xfvn2hKApq1qyJX375BVWrVo16\nvMqVK+OFF14A4DkgK5r57Pl6o1TFhj1RDLznPQz1ba96e05OTpmjgxOxnkRtK1GyXXbZZQAARVGi\nmhZAfa24XC4cOHAg4HJCCOzbtw8AULNmTd3HIDKyaD5TonmO67GeRG0rUbJ16tQJgKeZsHPnzojv\nr75W8vLyfI4QLO3YsWNaQyLQ6y2WMYj0cujQIXTp0gWbNm2CJEn4+OOPceONNwZcPicnB+XLlwcQ\n/ucFEPlzWI/1JGpbicL1119/oUePHigpKUHVqlUxd+5c7ej4WKj7dgCwbt26iO8fTR0oyzJOO+00\nXccgihQb9kQxaNKkifbzhg0bgi6r3t6kSRNIkpTw9SRqW4mSzftIhqKioojvH+5rZdu2bdoRjOec\nc47uYxAZWSSfKeoXZ9E8x/VYT6K2lSjZ9Pr8UxQFmzZtCrjc+vXrtZ8Dvd5iGYNID8eOHcOVV16J\nVatWAQDef/99DBgwIOT91OdwuPtLQGyfb7GsJ1HbShTKsmXL0LVrVxQWFqJixYr45ZdfdHuuJWrf\nzvv2+vXr+8xVr8cYRJFiw54oBnXr1sXpp58OAJg/f37A5fbv36+9cV988cVJWU+itpUo2bZs2aL9\nHM1RDd7P+2CvFe/bSr9W9BiDyMhatGihHdkX7Dm+evVqHDp0CEB0z3E91pOobSVKNn7+EXkUFhai\na9euWLp0KQBg5MiRuPfee8O6r/p83Lx5c9AjadXncM2aNaM6iliP9SRqW4mCWbVqFa644gocPXoU\nubm5mD17Nlq1aqXb+LF+tlWsWBFNmzYFEPxz6fjx4/j3338BlP1c0mMMokixYU8UA0mScMMNNwAA\nFi5ciM2bN/td7pNPPtF+VpdP9HoSta1EyVRcXIypU6cCAKpWrYrGjRtHPEazZs3QsGFDAMDkyZOh\nKIrf5dTXSsWKFX1O1dRrDCIjs9vt6N69OwDgp59+Ql5ent/lYv1M0WM9idpWomTKz8/Ht99+CwBo\n0KBBVE2NDh06aPcLdJFAIQQmT54MwHMwSJs2bXQfgygWxcXF6NGjB/78808AwKuvvopHHnkk7Pt7\nT5kT6Dm8detWrWl3/fXXR3VGsh7rSdS2EgWyceNGdOnSBYcOHUJ2djZ+/PFH7XoqelEvqg5E3wRX\nXyv//fcfli1b5neZzz//HE6nE4D/OlCPMYgiIogoJtu2bRMZGRkCgOjSpYtwOBw+t2/cuFFUqFBB\nABAXXXSR3zEOHDggFixYIBYsWCD27NkTt/XoMQZRshw8eFC4XK6At584cULceOONAoAAIJ599lm/\ny61fv157vRUVFfldZsKECdo4r7/+epnbP/30U+32l19+OW5jECXSgAEDtOek0+kMufzy5cuFLMsC\ngOjZs6dwu90+t//7778iMzNTABA9evTwO8bu3bu112NeXl7c1qPHGER6ql69ugAgOnfuHHLZvLy8\nMs9Zb0ePHhWXX3659vodPXq03+VWrVqlvd4CfZ6++eab2jjjx48vc/uoUaO028eOHRu3MYii4XA4\nRPfu3UPWgqFceumlAoAoX7682LBhg89tTqdTXHXVVQKAsNlsYvPmzX7HUF9rK1eujOt69BiDKBrb\nt28XderUEQBEZmammDt3bkT3LykpEUeOHAm6zMSJE7X6rUmTJn4/uw4fPqy93nbs2OF3nP3794vc\n3FwBQFx44YVl9gF37dolTjvtNAFANG/e3O9nrh5jEEWCDXsiHQwfPlwrDNu1ayc+/fRT8csvv4g3\n3nhDVKtWTQAQubm5AQs278bdu+++G7f16DUGUTIMHz5cVK5cWfTv31+MGjVKTJ06Vfz666/ihx9+\nEC+++KKoW7eu9txu3769OHHihN9x+vXrpy23ceNGv8u43W5xxRVXaMvdeuut4rvvvhM//vijeOCB\nB4TFYhEARKtWrURhYWHcxiCKp4ULF2o7OAsWLBBXX3219nz9448/fG47cOCA3zGGDh2q3adTp05i\n2rRp4ueffxYvvfSS9gVwtWrVxJYtW/ze37txN3Xq1IDbGut69BqDKBr5+fk+r6cFCxaIypUrCwDi\nvPPOK3Nb6S/Mhg4dKk477TQxcOBAMXr0aDF9+nTx22+/ie+++048/fTTombNmtpz++qrrw74hduV\nV16pLReoSVJcXCzOP/98AUDIsizuvfde8cMPP4iZM2eKgQMHavfv2LFjwPXoMQZRNPr27as9vzp3\n7lzmtVX6T6D3+1WrVony5csLAKJq1arijTfeEL/88ov49NNPxYUXXqitY9iwYX7v73Q6tWWCHQQV\n63r0GoMoUocPHxZnn3229vx6+umnQ77eSn/u7Ny5U1itVnHZZZeJV155RUycOFHMmjVLzJkzR4wb\nN87ni+hy5cqJxYsX+92W77//PqyDoD766CNtuZYtW4qJEyeKOXPmiFGjRolatWppXzz8/fffcR2D\nKFxs2BPp5NVXXxU2m017A/f+c/rpp4v58+cHvG+4DftY16PnGESJNnHixIDPW/WPxWIRd955pzh2\n7FjAccJp2AvhOWLxuuuuC7iuSy65ROzduzfoNusxBlG8qF8ahfPn008/9TuGoijiscce045+Kv3n\n7LPPFkuXLg24DeE27GNdj15jEEVjzpw5Yb/WAJQ522TkyJEhX682m00MGTIk4JljQoTXsBfCc+Zn\n586dA66ra9euIY+K1GMMokhVqVIlotfaQw89FHCshQsXakcPl/5jtVrFiy++GPC+4TbsY12PnmMQ\nRWLx4sURvdYAiFmzZvmMceDAAe3L62B/WrduLVasWBFwW8Jt2AshxDvvvKPNOFD6z2mnnSZmz54d\nMrseYxCFQxJCCBCRLjZt2oTPPvsMK1euxLFjx1C9enV06tQJvXr1Qm5ubsD7/fLLL3jppZcAAI88\n8kjI+c6iXY/eYxAl2rFjxzB37lwsWrQIu3fvxv79+2G1WlG9enW0adMG119/PerUqRN0jJdffhk/\n//wzAGD69OmoXbt20OXnzZuHL7/8Eps3b4aiKKhbty6uvfZaXH311ZDl8C4Fo8cYRHrr2LEjXC5X\nWMs+99xzuOKKKwLevnr1anz++edYvXo1jh8/jlq1aqFLly646aabkJWVFfB+M2bMwOjRowEAL774\nIjp37hx0O6Jdj95jEEViyZIlePjhh8Ne/scff0SFChV8/u3IkSP45Zdf8M8//2DPnj04cOAA7HY7\natasibZt2+KGG25A9erVg4776KOPYtGiRQCA2bNno1y5cgGXFULgl19+wbfffott27YBAOrXr48b\nbrgh5OtUzzGIItG9e3fk5+eHvXzPnj3x4IMPBry9oKAAX3zxBX7//Xfs27cPubm5aNGiBfr166dd\nq8gft9uNSy+9FIDnwudjxowJuh3RrkfvMYjCtX79egwaNCii+4wcObLM/PaKouD//u//8Ouvv2Lb\ntm3Ys2cPSkpKUKlSJTRt2hRdunQJOW/9X3/9hccffxwAcNddd+HWW28Nuvz27dvx2WefYdmyZcjP\nz8dpp52GDh06oE+fPqhUqVJYWfQYgygUNuyJiIiIiIiIiIiIiAyAh/URERERERERERERERkAG/ZE\nRERERERERERERAbAhj0RERERERERERERkQGwYU9EREREREREREREZABs2BMRERERERERERERGQAb\n9kREREREREREREREBsCGPRERERERERERERGRAbBhT0RERERERERERERkAGzYExEREREREREREREZ\nABv2REREREREREREREQGwIY9EREREREREREREZEBsGFPRERERERERERERGQAbNgTERERERERERER\nERkAG/ZERERERERERERERAbAhj0RERERERERERERkQFYk70BREREREREqvXr10MIgQYNGsBisSR7\nc6IihMD69esBAA0bNoQs8zgpIiIiIgoPK0ciIiIiIjKE6dOno3HjxujXr1/KNusBQJIk3HvvvWjS\npAnGjx+f7M0hIiIiohQiCSFEsjeCiIiIiIjMraSkBI0bN8a2bdvwww8/oFu3bsnepJgsWLAAl1xy\nCapXr46NGzciNzc32ZtERERERCmAR9gTEREREVHSvf3229i2bRvOP//8lG/WA0CHDh3QuXNn7N+/\nH6+99lqyN4eIiIiIUgQb9kRERERElFQOhwMjR44EADzwwANJ3hr93HfffQCA9957DwUFBUneGiIi\nIiJKBWzYExERERFRUs2YMQN5eXnIycnB9ddfn+zN0U337t1RqVIlHD9+HJ9++mmyN4eIiIiIUgAb\n9kREREREVMamTZuwbt06bNy4MehyBQUFWLduHdatW4eDBw9Gta5x48YBAK677jqUK1cu4HIbN27E\nunXrcOjQoaDjqduTn59f5rbt27dj3bp12LNnj8+/FxYWYseOHXC73UHH3rdvH/bs2YNwLgVmt9vR\ns2dPAMDYsWNDLk9ERERExIY9ERERERGVMXXqVDRp0gQNGzbEJ5984ncZRVFwzTXXoEmTJmjbti2O\nHDkS8Xry8vKwcOFCAECXLl2CLtu2bVs0adIkZPO7SZMmaNKkCT777LMyt/Xq1QtNmjTBI488AgCY\nPXs2zj//fJQrVw5169ZFdnY27r77bp8sBQUFGDp0KCpVqoSaNWuidu3aqFOnDsaMGRMyn5pp1apV\n2LRpU8jliYiIiMjc2LAnIiIiIqIynn76aXTs2BEAcP/992PDhg1llnnllVcwb948AMCYMWPQoEGD\niNczf/587ecLLrgguo2N0qRJk9CtWzcsX74c9erVQ/ny5eFwOPDhhx+ie/fuKC4uxpEjR3DZZZfh\nzTffhCRJqFevHmRZxu7du3H//fdj+PDhQddx4YUXaj//8ccfcU5ERERERKmODXsiIiIiIipDlmVM\nmTIFVatWRWFhIXr16oWSkhLt9oULF+Kll14CANxyyy3o379/VOtRG/YVK1ZEw4YNY9/wMG3evBn3\n338/Hn/8cRw8eBBbt27F4cOHMWrUKADAX3/9hQkTJmDw4ME4cOAA5s6di0OHDmHr1q3Ytm0bzj//\nfADAc889h/379wdcT61atVCnTh0A0L7cICIiIiIKhA17IiIiIiLyq1atWvjkk08gSRKWL1+Oxx57\nDABw5MgR9O3bF263G2effXZYU8MEoh65X6dOHUiSpMt2h2PJkiW45557MGzYMJQvXx4AYLFY8PDD\nD6N79+4AgGeeeQZff/015syZg86dO2vbV6dOHW2aoOLiYnz55ZdB11W3bl0A8HuWAhERERGRNzbs\niYiIiIgooK5du+Lhhx8GALz77rv47rvvMGjQIOzcuRN2ux3Tpk1Dbm5u1OPn5eUBACpXrqzH5oYt\nIyMDzzzzjN/bevToAcDzxUT//v39HvnfuHFjNGrUCACwePHioOtSsx04cCCWTSYiIiIiE2DDnoiI\niIiIgnr99ddx3nnnAQB69uyJb775BgAwbNgwtGnTJqaxDx48CCDxDfvWrVujUqVKfm+rX7++9nPn\nzp0DjqEut3fv3qDrqlKlCoBTX04QEREREQXChj0REREREQXlfSS9w+EAAFx99dUYMmSILmMD0MZN\nlFq1agW8LTs7O6LlTpw4EXRd6tz/GRkZkWwiEREREZkQG/ZERERERBSxli1b6jLnfLVq1QAAhw8f\njnmsSFitVt2WE0IEvV3NpmYlIiIiIgqEDXsiIiIiIgrK6XSid+/eKCgo0P7tjTfewLx582Ieu3r1\n6gAS37BPpEOHDgE4lZWIiIiIKBA27ImIiIiIKKgnn3wSS5YsAQBMmTIFDRo0gKIo6Nevn9aMjlbr\n1q0BAFu2bNGmjgmluLg44G1Hjx6NaXv0pigK1q9fD+BUViIiIiKiQNiwJyIiIiKigGbPno233noL\nADB48GD07dsX06ZNg91ux+7duzFw4MCYxr/00ksBeI7i//fff8O6z8aNGwPetnjx4pi2R29r1qzB\nsWPHAJzKSkREREQUCBv2RERERETk1759+zBgwAAIIXDuuedi+PDhADxHir/++usAgJkzZ+K9996L\neh3t2rXTLt66aNGisO4zc+ZMbNq0qcy/u1wuvPLKK9rviqJEvV16UTPJsoxLLrkkyVtDREREREbH\nhj0REREREZUhhED//v1x4MABZGdnY9q0acjIyNBuf/jhh9G1a1cAwGOPPYaVK1dGtR673Y6ePXsC\nAL799tuw7lNSUoL27dvj7bffxsKFC7FixQpMmzYNF198MebNmwdZ9uzmzJ49G6tXr0ZhYWFU26YH\nNVO3bt1QuXLlpG0HEREREaUGNuyJiIiIiKiM119/HXPnzgUAvPvuu2jcuLHP7ZIkYdKkSahZsyaK\ni4vRu3dvnDhxIqp13XPPPQCA+fPnY/v27SGXHzRoECRJwpAhQ9ChQwe0bNkSffr0wf/93//hgQce\nwM033wwAmDVrFpo1a4YFCxZEtV2xysvLw88//wwAuPfee5OyDURERESUWqzJ3gAiIiIiIjKWzZs3\n4/PPP0ejRo1wySWXBJynvlq1avjss89w3333QVEUvPfee3j88ccjXl+7du3QunVrLFu2DJ9++ime\neeaZoMvXrVsXy5cvx1tvvYW//voLhYWFqFevHvr3748bb7wRe/bsgcvlwtatW9G2bVu0bNlSu2+9\nevWQn5+P2rVrBxw/KysLjRo10n4OpHbt2mjUqBHq1q3r9/Zp06bB5XKhfv36uPLKK4NmIiIiIiIC\nAEkIIZK9EUREREREZG6zZs1C165dUaNGDWzZssVvo7xixYo4evQoXn755ZBN/WRzOp1o3LgxtmzZ\ngilTpqBv377J3iQiIiIiSgGcEoeIiIiIiJLu6quvxhVXXIF9+/bh/fffT/bmxGzixInYsmULzj//\nfPTp0yfZm0NEREREKYINeyIiIiIiMoSRI0eicePGmDlzJlwuV7I3J2pCCHz11Vdo1KgRRo0aBUmS\nkr1JRERERJQiOIc9EREREREZQrNmzbB27dpkb0bMJEnSLjZLRERERBQJHmFPRERERERERERERGQA\nPMKeiIiIiIhSQsOGDXHs2DFUrVo12ZtCRERERBQXkhBCJHsjiIiIiIiIiIiIiIjMjlPiEBERERER\nEREREREZABv2REREREREREREREQGwIY9EREREREREREREZEBsGFPRERERERERERERGQAbNgTERER\nERERERERERkAG/ZERERERERERERERAbAhj0RERERERERERERkQGwYU9EREREREREREREZABs2BMR\nERERERERERERGQAb9kREREREREREREREBsCGPRERERERERERERGRAbBhT0RERERERERERERkAGzY\nExEREREREREREREZABv2REREREREREREREQGwIY9EREREREREREREZEBsGFPRERERERERERERGQA\nbNgTERERERERERERERkAG/ZERERERERERERERAbAhj0RERERERERERERkQGwYU9ERERERERERERE\nZABs2BMRERERERERERERGQAb9kREREREREREREREBsCGPRERERERERERERGRAbBhT0RERERERERE\nRERkAGzYExEREREREREREREZABv2REREREREREREREQGwIY9EREREREREREREZEBsGFPRERERERE\nRERERGQAbNgTERERERERERERERkAG/ZERERERERERERERAbAhj0RERERERERERERkQFYk70BRESU\nvoqLi+FyuQAA2dnZkGV+T0xkFG63G0VFRQDS+/UphEBhYSEAIDMzE1Yry18iIjNzOp0oKSkBAGRk\nZMBmsyV5i4gono4fPw4g/V/vJ06cgKIosNlsyMjISPbmUIzSc8+MiIh0V1xcjOPHj+P48eMQQoR1\nn969eyM3Nxe5ublYuXJlnLcwvUTzeJuV92PlcDh0H9/tdmvjh/sn2P+Z3uNF65577kFubi6aNGkS\nl8fNKBRFwfnnn4/c3Fz07Nkz2ZtDREQ6cjgc2melepBIKKNHj9bq0w8++CDOW5heonm8zUgIgeLi\n4qjue+LEiYjrxHjWi263W7f/61gel2h98sknyM3NRYUKFbBhw4aErjvRHnjgAeTm5qJRo0baQTmU\nutiwJyKisHTv3l3buVm/fn2yNyft8fEuy+12Y/Xq1Zg6dSqefPJJdOvWDXXq1EFWVpb2WD311FO6\nr3fBggXa+OH+2bx5c8LGi8aSJUswYcIEAMALL7yAzMxMXcc3EovFgldffRUA8M0332Du3LlJ3iIi\nItLLa6+9pn1WTpo0Kdmbk/b4eJe1adMmTJkyBQ8//DAuvvhi1KxZExaLBVlZWbBarahduzauvfZa\nTJ48OaxmdevWrSOuE/XYZ3A4HPjrr78wYsQI3HjjjWjatCmqVasGu90Om82GcuXK4bzzzsOQIUOw\nfPnyhD8u0Th27BieeOIJAMCtt96Kpk2bxmU9RvHiiy8iIyMD27dvxxtvvJHszaEY8ZxgIiIiSgn/\n/fcfWrVqlezNSAtDhw6Foig444wzMGDAgGRvTtxdd911aNq0KVavXo2hQ4diyZIlkCQp2ZtFRERE\nKa5Zs2baFEulud1u7NmzB3v27MH333+PF198EZMmTUKHDh103w6bzYZq1apFff+ZM2fi5ptvDnh7\nYWEhli5diqVLl2L06NEYMGAAxo4dG/CgDyM8LiNHjsS+ffsgy3JcDuoxmjp16mDAgAH48MMPMWLE\nCNx///0xPScouXiEPRERxU1WVhZycnKQk5MDi8WS7M2hNJXIxqvVatWe08H+hDsfvN7jheOPP/7A\nb7/9BgB4+OGHTTGnuyRJePTRRwEAy5Ytw3fffZfkLSIiomSx2+3a56vdbk/25lCastvtZWrULVu2\n4IorrsD8+fMD3i+culD9413Dde/eHVWqVNE9h81mK1OHCiEwadIkXHfddRFPwxPt4xKpw4cPY9So\nUQA8B240aNBAt7GN7NFHH4UkSSgsLORR9imODXsiIoqbqVOnanMqNm/ePNmbQynOYrHgnHPOQe/e\nvfHqq6/i+++/x/bt23HfffclbBt69eoV1hyi9evXT8p44Rg+fDgAzwVYb7vtNt3GNbpevXqhYsWK\nAE49BkREZD4PPvig9vl61113JXtzKMU1aNAA/fr1wzvvvIM///wTW7ZswbFjx1BSUoKSkhL89ddf\nPtfQKS4uxm233Rbw+kFLly4NqzYsKCjAmWeeqd3vjjvuiClHZmYmLrvsMrz00kv48ccfsW7dOhw5\ncgQOhwNutxu7du3CJ598giZNmmj3+fnnnzFjxoyEPC6R+uCDD1BQUAAAuPfee3UZMxU0aNAAnTp1\nAgB8+OGHOHbsWJK3iKKV/odUEVEZDocjrKNJhBAoLCwEAG2+OX9jORwO5OTkBD3KVVEUKIqiy5Gc\nDocDNpstpqNq9RgjGesK9/8uXC6XCxaLJei2qVebd7vdPv92/PjxMsuWK1fO5/fi4mLtIkXZ2dkR\nHSUc7XOmqKhI21Z/z0uXy5XQI4oj/T+L5fEORVEUnDhxQvs9nP8T9TUOALIsIzs7O6J16ql58+ZY\nvXp10tafDjZt2oRZs2YB8BxtVKlSpYDLFhYWQggR1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p5H2Kt/+vXrJ5YuXSpcLpcQQohV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\nQ1Seg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LMIgDYGzc6r0H45vqUXCAsN4ZSgdGtLOgmnBAfV24L9iVFoY2a8pbjT/htjYFrs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\n"
          }
        }
      ],
      "source": [
        "# Simulation set up visualization.\n",
        "fig = plt.figure(tight_layout=True, figsize=(8, 6))\n",
        "gs = fig.add_gridspec(2, 2)\n",
        "ax1 = fig.add_subplot(gs[0, :])\n",
        "ax2 = fig.add_subplot(gs[1, 0])\n",
        "ax3 = fig.add_subplot(gs[1, 1])\n",
        "sim_tap[\"linear\"].plot(z=0, ax=ax1)\n",
        "sim_tap[\"linear\"].plot(x=pad_x, ax=ax2)\n",
        "sim_tap[\"linear\"].plot(x=pad_x + taper_l + pad_x / 2, ax=ax3)\n",
        "plt.show()"
      ],
      "id": "a468c15e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now, we will run the simulations using a batch object."
      ],
      "id": "ddf208db-66bf-4142-8e9e-ea7f45eab8f4"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Maximum FlexCredit cost for linear = 0.13\n",
            "Maximum FlexCredit cost for quadratic = 0.13\n",
            "Maximum FlexCredit cost for exponential = 0.13\n",
            "Maximum FlexCredit cost for batch = 0.39"
          ]
        }
      ],
      "source": [
        "# Initialize a simulation batch.\n",
        "batch = web.Batch(simulations=sim_tap, verbose=True)\n",
        "\n",
        "# Get the estimated simulation cost.\n",
        "tot_cost = 0\n",
        "for bat in batch.get_info().values():\n",
        "    sim_name = bat.taskName\n",
        "    cost = web.estimate_cost(bat.taskId, verbose=False)\n",
        "    tot_cost += cost\n",
        "    print(f\"Maximum FlexCredit cost for {sim_name} = {cost:.2f}\")\n",
        "print(f\"Maximum FlexCredit cost for batch = {tot_cost:.2f}\")"
      ],
      "id": "c6b220e1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Run the batch and store all of the data in the `data_taper` dir."
      ],
      "id": "923fc9aa-eb53-40c7-a60e-1bba4a22480e"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c7124271e183442da34b58e65703c4a7\",\"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\">10:24:57 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</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\">10:25:00 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.390</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\":\"66a3bff9f6ce4b569355f73a2dc112ce\",\"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\">10:25:02 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_taper = batch.run(path_dir=\"data/data_taper\")"
      ],
      "id": "476656fd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Inverted taper results\n",
        "\n",
        "Now we will see the field intensity and the modal coupling efficiency\n",
        "for the 3 inverted tapers."
      ],
      "id": "d011a5b0-4522-4b13-94c3-e51ecbb2dbd5"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim_tap_results = dict(batch_taper.items())"
      ],
      "id": "5d867ee3"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "fig, axs = plt.subplots(3, 1, tight_layout=True, figsize=(10, 8))\n",
        "for tap_n, sim_data, ax in zip(sim_tap_results.keys(), sim_tap_results.values(), axs):\n",
        "    sim_data.plot_field(\"field_xy\", \"Ey\", f=freq_c, val=\"abs\", ax=ax)\n",
        "    ax.set_title(tap_n)\n",
        "    ax.set_aspect(\"auto\")  # Used to better visualize the shapes.\n",
        "plt.show()"
      ],
      "id": "fcac92b8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Below, we have the $|E_{y}|$ field recorded by the monitors positioned\n",
        "at the taper tip and taper output of the quadratic structure. We can\n",
        "clearly visualize the Gaussian profile corresponding to the fields\n",
        "launched by a lensed fiber at the taper tip. In contrast, the output\n",
        "field corresponds to the transverse electric polarization of the\n",
        "fundamental output waveguide mode."
      ],
      "id": "c4e0b2e0-1221-4bef-b5af-e3740e8c1444"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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7dlWRIkVyNLYnn3xSDz/8cKYHuKWkmSmZ7ZQ7LZDHl5nlKFJu7Ji8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\nyKqLFy9qw4YNOn78uAoWLKhy5cqpYsW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giOtv+IESPs62vWrHEKC1Rd2fYnIiLyDwXGt/v1ZxSkYMZOfDcaNGgAADh69KhuPHV4cnKy3+pT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\nii8gSMwUAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "fig, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(8, 4))\n",
        "sim_tap_results[\"quadratic\"].plot_field(\"field_input\", \"Ey\", f=freq_c, val=\"abs\", ax=ax1)\n",
        "ax1.set_title(\"|Ey| at taper tip\")\n",
        "ax1.collections[-1].set_clim(0, 20)\n",
        "ax1.set_xlim(-2, 2)\n",
        "ax1.set_ylim(-2, 2)\n",
        "\n",
        "sim_tap_results[\"quadratic\"].plot_field(\"field_output\", \"Ey\", f=freq_c, val=\"abs\", ax=ax2)\n",
        "ax2.set_title(\"|Ey| at taper output\")\n",
        "ax2.collections[-1].set_clim(0, 50)\n",
        "ax2.set_xlim(-2, 2)\n",
        "ax2.set_ylim(-2, 2)\n",
        "plt.show()"
      ],
      "id": "17ed7c62"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The modal coupling efficiencies shown below reveal that the quadratic\n",
        "taper profile has the lowest insertion losses."
      ],
      "id": "e8daae59-e436-46e9-84fa-cbba35cd876a"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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slC5ccA1ebVtj2g34+Zn9XPv1c4Sv/fqZwWuXLpKPj/e+BwAAAABo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\nHqRcipmydvT7779r9erV5q/T0tIsarcuO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          }
        }
      ],
      "source": [
        "power_tap_25 = []\n",
        "for sim_data in sim_tap_results.values():\n",
        "    mode_amps = sim_data[\"mode_0\"]\n",
        "    coeffs_f = mode_amps.amps.sel(direction=\"+\")\n",
        "    power_0 = np.abs(coeffs_f.sel(mode_index=0)) ** 2\n",
        "    power_0_db = 10 * np.log10(power_0)\n",
        "    power_tap_25.append(power_0_db)\n",
        "\n",
        "plot_colors = (\"black\", \"red\", \"blue\")\n",
        "fig, ax1 = plt.subplots(1, figsize=(8, 4))\n",
        "for data, color, label in zip(power_tap_25, plot_colors, sim_tap_results.keys()):\n",
        "    ax1.plot(\n",
        "        wl_range,\n",
        "        data,\n",
        "        color=color,\n",
        "        linestyle=\"solid\",\n",
        "        linewidth=1.0,\n",
        "        label=label,\n",
        "    )\n",
        "ax1.set_xlim([wl_range[0], wl_range[-1]])\n",
        "ax1.set_xlabel(\"Wavelength (um)\")\n",
        "ax1.set_ylabel(\"Power (dB)\")\n",
        "ax1.set_title(\"Coupling Efficiency\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "03e4d6e9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Inverted Taper Length Sweep\n",
        "\n",
        "Before, we simulated the inverted tapers with a short length of only 25\n",
        "$\\mu m$ to improve simulation time. Nevertheless, the designs can be\n",
        "improved by making the inverted taper larger in length so that its\n",
        "adiabaticity is increased. In the following sections, we increase the\n",
        "taper length to 50 $\\mu m$ and 100 $\\mu m$ (other values can be added to\n",
        "the sweep at a higher simulation cost)."
      ],
      "id": "b404c1e5-7e1b-4b0e-b4ed-5b3f24ec2115"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Maximum FlexCredit cost for sim_50_linear = 0.23\n",
            "Maximum FlexCredit cost for sim_50_quadratic = 0.23\n",
            "Maximum FlexCredit cost for sim_50_exponential = 0.23\n",
            "Maximum FlexCredit cost for sim_100_linear = 0.44\n",
            "Maximum FlexCredit cost for sim_100_quadratic = 0.44\n",
            "Maximum FlexCredit cost for sim_100_exponential = 0.44\n",
            "Maximum FlexCredit cost for batch = 2.00"
          ]
        }
      ],
      "source": [
        "# Taper lengths on the sweep.\n",
        "taper_sweep = [50, 100]\n",
        "sim_sweep = [get_simulations(tap_length=t_l) for t_l in taper_sweep]\n",
        "\n",
        "# Make a dictionary of {task name : simulation}\n",
        "sims = {\n",
        "    f\"sim_{tap_l}_{sim_name}\": sim\n",
        "    for sim_l, tap_l in zip(sim_sweep, taper_sweep)\n",
        "    for sim, sim_name in zip(sim_l.values(), sim_l.keys())\n",
        "}\n",
        "# Initialize a batch and run them all\n",
        "batch = web.Batch(simulations=sims, verbose=True)\n",
        "\n",
        "# Get the estimated simulation cost.\n",
        "tot_cost = 0\n",
        "for bat in batch.get_info().values():\n",
        "    sim_name = bat.taskName\n",
        "    cost = web.estimate_cost(bat.taskId, verbose=False)\n",
        "    tot_cost += cost\n",
        "    print(f\"Maximum FlexCredit cost for {sim_name} = {cost:.2f}\")\n",
        "print(f\"Maximum FlexCredit cost for batch = {tot_cost:.2f}\")"
      ],
      "id": "2c42e1e7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Run the batch and store all of the data in the `data_sweep` dir."
      ],
      "id": "6dc64b2e-2b9f-44ea-9694-9093c0d035f7"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"b0eaeb25ff4640319f434c578f61c591\",\"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\">10:25:21 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</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\">10:25:27 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.005</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\":\"46eac91c3867457fa8559375b743ae2d\",\"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\">10:25:30 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_sweep = batch.run(path_dir=\"data/data_sweep\")"
      ],
      "id": "a156939c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Print the simulation log corresponding to the longest inverted taper to\n",
        "inspection."
      ],
      "id": "2de5b3ae-d92d-4350-b47e-7c70d4fbec79"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[22:24:21] USER: Simulation domain Nx, Ny, Nz: [3477, 126, 136]                 \n",
            "           USER: Applied symmetries: (0, -1, 1)                                 \n",
            "           USER: Number of computational grid points: 1.5829e+07.               \n",
            "           USER: Subpixel averaging method: SubpixelSpec()                      \n",
            "           USER: Number of time steps: 8.9104e+04                               \n",
            "           USER: Automatic shutoff factor: 1.00e-05                             \n",
            "           USER: Time step (s): 5.3908e-17                                      \n",
            "           USER:                                                                \n",
            "                                                                                \n",
            "           USER: Compute source modes time (s):     0.6406                      \n",
            "[22:24:22] USER: Rest of setup time (s):            0.3241                      \n",
            "[22:24:32] USER: Compute monitor modes time (s):    5.1342                      \n",
            "[22:25:11] USER: Solver time (s):                   47.3870                     \n",
            "           USER: Time-stepping speed (cells/s):     9.14e+09                    \n",
            "           USER: Loading data for monitor field_xy                              \n",
            "           USER: Loading data for monitor field_input                           \n",
            "           USER: Loading data for monitor field_output                          \n",
            "           USER: Loading data for monitor mode_0                                \n",
            "[22:25:13] USER: Post-processing time (s):          2.4842                      \n",
            "\n",
            " ====== SOLVER LOG ====== \n",
            "\n",
            "Processing grid and structures...\n",
            "Building FDTD update coefficients...\n",
            "Solver setup time (s):             3.6473\n",
            "\n",
            "Running solver for 89104 time steps...\n",
            "- Time step   3564 / time 1.92e-13s (  4 % done), field decay: 1.00e+00\n",
            "- Time step   7128 / time 3.84e-13s (  8 % done), field decay: 7.89e-01\n",
            "- Time step  10692 / time 5.76e-13s ( 12 % done), field decay: 5.46e-01\n",
            "- Time step  14256 / time 7.69e-13s ( 16 % done), field decay: 4.18e-01\n",
            "- Time step  17820 / time 9.61e-13s ( 20 % done), field decay: 3.51e-01\n",
            "- Time step  21384 / time 1.15e-12s ( 24 % done), field decay: 3.06e-01\n",
            "- Time step  24949 / time 1.34e-12s ( 28 % done), field decay: 3.13e-05\n",
            "- Time step  25200 / time 1.36e-12s ( 28 % done), field decay: 3.16e-06\n",
            "Field decay smaller than shutoff factor, exiting solver.\n",
            "Time-stepping time (s):            43.6588\n",
            "Data write time (s):               0.0773\n"
          ]
        }
      ],
      "source": [
        "print(batch_sweep[\"sim_100_quadratic\"].log)"
      ],
      "id": "3c7c0e32"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Parameter sweep results\n",
        "\n",
        "Now, we will get the batch results and plot the modal coupling\n",
        "efficiency at the central wavelength as a function of the inverted taper\n",
        "length."
      ],
      "id": "cec206a9-7f52-4f2f-a5d3-92dd8d2166c5"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [],
      "source": [
        "coup_eff_tl = np.zeros((len(tap_names), len(taper_sweep) + 1))\n",
        "for i in range(len(tap_names)):\n",
        "    coup_eff_tl[i, 0] = power_tap_25[i].sel(f=freq_c)\n",
        "\n",
        "sims = {\n",
        "    f\"sim_{tap_l}_{sim_name}\": sim\n",
        "    for sim_l, tap_l in zip(sim_sweep, taper_sweep)\n",
        "    for sim, sim_name in zip(sim_l.values(), sim_l.keys())\n",
        "}\n",
        "\n",
        "for j, tl in enumerate(taper_sweep):\n",
        "    for i, sn in enumerate(tap_names):\n",
        "        data_sim = batch_sweep[f\"sim_{tl}_{sn}\"]\n",
        "        mode_amps = data_sim[\"mode_0\"]\n",
        "        coeffs_f = mode_amps.amps.sel(direction=\"+\", f=freq_c)\n",
        "        power_0 = np.abs(coeffs_f.sel(mode_index=0)) ** 2\n",
        "        power_0_db = 10 * np.log10(power_0)\n",
        "        coup_eff_tl[i, j + 1] = power_0_db"
      ],
      "id": "5b74ed76"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As shown below, the longer the taper, the higher the modal coupling\n",
        "efficiency, as is expected due to the increased adiabaticity. However,\n",
        "the quadratic shape profile seems more advantageous for this case as it\n",
        "achieved a steady state coupling loss of $\\lt$ 0.6 dB for a 50 $\\mu m$\n",
        "taper length. In contrast, the exponential shape needs double this\n",
        "value, and an even longer taper length would be necessary for the linear\n",
        "profile to obtain similar coupling loss. Detailed discussions about the\n",
        "effects of taper profile over the coupling efficiency, bandwidth,\n",
        "footprint size, or taper/fiber misalignments can be found in the\n",
        "literature\n",
        "\\[[1](https://www.mdpi.com/2076-3417/10/4/1538),[2](https://opg.optica.org/prj/fulltext.cfm?uri=prj-7-2-201&id=404538),[3](https://www.sciencedirect.com/science/article/abs/pii/S0030401811006389)\\]."
      ],
      "id": "26b67ebe-2352-4bd3-956e-81fb2014dd6b"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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XLl3k5OSkzZs3KzU1VY6Ojqbl0q9fP9NiZda8eXOtXr1aUVFROnny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\n3I/Aw8NDAwYMUJ8+fdS/f3/de++92rh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hw4e1Z88eRUREKCEhwbpaIvPc4eHhqlu3bq75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YN28e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\nERFZHRMQRERERERERGR1/wvQdNXAMcQqYgAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, figsize=(6, 3))\n",
        "lin_style = [\"ok\", \"sr\", \"hb\"]\n",
        "taper_lengths = [taper_l] + taper_sweep[:]\n",
        "for ce, ls, lab in zip(coup_eff_tl, lin_style, tap_names):\n",
        "    ax.plot(taper_lengths, ce, ls, label=lab)\n",
        "ax.set_xlim([taper_lengths[0] - 2, taper_lengths[-1] + 2])\n",
        "ax.set_xlabel(r\"Taper Length ($\\mu m$)\")\n",
        "ax.set_ylabel(\"Coupling Efficiency (dB)\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "dd8dc3a4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next, we will visualize the field distribution and the\n",
        "wavelength-dependent coupling coefficients for these longer inverted\n",
        "taper structures."
      ],
      "id": "17e754d2-21da-42d0-a39a-b2c4b79706f8"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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          }
        }
      ],
      "source": [
        "final_sim_data = [\n",
        "    batch_sweep[\"sim_100_linear\"],\n",
        "    batch_sweep[\"sim_50_quadratic\"],\n",
        "    batch_sweep[\"sim_100_exponential\"],\n",
        "]\n",
        "\n",
        "fig, axs = plt.subplots(3, 1, tight_layout=True, figsize=(10, 8))\n",
        "for sim_data, tap_n, ax in zip(final_sim_data, tap_names, axs):\n",
        "    sim_data.plot_field(\"field_xy\", \"Ey\", f=freq_c, val=\"abs\", ax=ax)\n",
        "    ax.set_title(tap_n)\n",
        "    ax.set_aspect(\"auto\")  # Used to better visualize the shapes.\n",
        "plt.show()"
      ],
      "id": "adde71e2"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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cvHixyH0iIyPVoayTk1OxSx6Yk+bzWNQiUAAQEhJS5HNb1QQEBKi3jx8/XqbX0py5fuXK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\nGjRokP744w9rPV26dOrWrZv69eun7Nmzm9ghAAAAA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vA2icETRkyBCYm5sjPT1duhUzKCgIiYmJLbIbNFFbkJiYqDbTraGhQVpz2dvbGwMHDpTKbGxs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\nTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "plot_colors = (\"black\", \"red\", \"blue\")\n",
        "fig, ax1 = plt.subplots(1, figsize=(8, 4))\n",
        "for sim_data, color, label in zip(final_sim_data, plot_colors, tap_names):\n",
        "    mode_amps = sim_data[\"mode_0\"]\n",
        "    coeffs_f = mode_amps.amps.sel(direction=\"+\")\n",
        "    power_0 = np.abs(coeffs_f.sel(mode_index=0)) ** 2\n",
        "    power_0_db = 10 * np.log10(power_0)\n",
        "\n",
        "    ax1.plot(\n",
        "        wl_range,\n",
        "        power_0_db,\n",
        "        color=color,\n",
        "        linestyle=\"solid\",\n",
        "        linewidth=1.0,\n",
        "        label=label,\n",
        "    )\n",
        "ax1.set_xlim([wl_range[0], wl_range[-1]])\n",
        "ax1.set_xlabel(\"Wavelength (um)\")\n",
        "ax1.set_ylabel(\"Power (dB)\")\n",
        "ax1.set_title(\"Coupling Efficiency\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "8f3463c5"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}