{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Defining common integrated photonic components\n",
        "\n",
        "This notebook contains predefined functions used to construct commonly\n",
        "used photonic integrated circuit (PIC) components, including straight\n",
        "waveguide, linear taper, ring, race track, s-bend, circular bend, and\n",
        "directional coupler.\n",
        "\n",
        "These components are defined using the\n",
        "[Photonforge](https://docs.flexcompute.com/projects/photonforge/en/latest/)\n",
        "library (`pf.Path`) as it offers a convenient and flexible way to\n",
        "construct curved paths with variable width. Each path is converted to a\n",
        "polygon via `path.to_polygon().vertices` and used to instantiate a\n",
        "Tidy3D\n",
        "[PolySlab](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PolySlab.html),\n",
        "which is then wrapped into a\n",
        "[Structure](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Structure.html).\n",
        "Users can directly copy these predefined functions to their own scripts\n",
        "and use them in building simulations. More importantly, users can learn\n",
        "the workflow from these examples and build their own Tidy3D Structures\n",
        "using the same principles.\n",
        "\n",
        "PhotonForge also provides a complete set of tools for photonic design\n",
        "automation, including **PDK integration, parametric components,\n",
        "connectivity management, and technology definitions**. You can check the\n",
        "many applications of this powerful tool\n",
        "[here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples.html)."
      ],
      "id": "ba8c9842-e207-450e-a317-287bea80b583"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import photonforge as pf\n",
        "import tidy3d as td"
      ],
      "id": "594bc712"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Straight Waveguide\n",
        "\n",
        "Straight strip waveguides are the most fundamental building block of any\n",
        "PIC. The function `straight_waveguide` returns a Tidy3D\n",
        "[Structure](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Structure.html)\n",
        "of a straight waveguide. The waveguide is specified by the starting\n",
        "position and the ending position. It only supports waveguides parallel\n",
        "to the $xy$ plane."
      ],
      "id": "5f7b2520-df47-4d9a-951e-879f01d93cb3"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "def straight_waveguide(x0, y0, z0, x1, y1, wg_width, wg_thickness, medium, sidewall_angle=0):\n",
        "    \"\"\"\n",
        "    This function defines a straight strip waveguide and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of the waveguide starting position (um)\n",
        "    y0: y coordinate of the waveguide starting position (um)\n",
        "    z0: z coordinate of the waveguide starting position (um)\n",
        "    x1: x coordinate of the waveguide end position (um)\n",
        "    y1: y coordinate of the waveguide end position (um)\n",
        "    wg_width: width of the waveguide (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    medium: medium of the waveguide\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    \"\"\"\n",
        "\n",
        "    # Define the path from (x0, y0) to (x1, y1)\n",
        "    path = pf.Path(origin=(x0, y0), width=wg_width)\n",
        "    path.segment((x1, y1))\n",
        "\n",
        "    # Define geometry as a PolySlab directly from the path vertices\n",
        "    wg_geo = td.PolySlab(\n",
        "        vertices=path.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "    )\n",
        "\n",
        "    # Define tidy3d structure\n",
        "    wg = td.Structure(geometry=wg_geo, medium=medium)\n",
        "\n",
        "    return wg"
      ],
      "id": "a4e7223f"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "Si = td.material_library[\"cSi\"][\"Li1993_293K\"]\n",
        "\n",
        "wg = straight_waveguide(\n",
        "    x0=1,\n",
        "    y0=2,\n",
        "    z0=1,\n",
        "    x1=5,\n",
        "    y1=8,\n",
        "    wg_width=0.45,\n",
        "    wg_thickness=0.22,\n",
        "    medium=Si,\n",
        "    sidewall_angle=15 * np.pi / 180,\n",
        ")\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "wg.plot(z=1, ax=ax1)\n",
        "wg.plot(x=2, ax=ax2)\n",
        "ax2.set_xlim(2, 5)\n",
        "plt.show()"
      ],
      "id": "5faf4553"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Linear Waveguide Taper\n",
        "\n",
        "Linear waveguide tapers can be defined in a similar way. Two\n",
        "parameters - width at the start and width at the end of the taper, need\n",
        "to be specified."
      ],
      "id": "c64a98ec-a63b-4181-b346-de9ecbac9c46"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "def taper_waveguide(\n",
        "    x0, y0, z0, x1, y1, wg_width_0, wg_width_1, wg_thickness, medium, sidewall_angle=0\n",
        "):\n",
        "    \"\"\"\n",
        "    This function defines a linear waveguide taper and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of the waveguide starting position (um)\n",
        "    y0: y coordinate of the waveguide starting position (um)\n",
        "    z0: z coordinate of the waveguide starting position (um)\n",
        "    x1: x coordinate of the waveguide end position (um)\n",
        "    y1: y coordinate of the waveguide end position (um)\n",
        "    wg_width_0: width of the waveguide in the beginning (um)\n",
        "    wg_width_1: width of the waveguide in the end (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    medium: medium of the waveguide\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    \"\"\"\n",
        "    # Define path with linearly interpolated width from wg_width_0 to wg_width_1\n",
        "    path = pf.Path((x0, y0), wg_width_0)\n",
        "    path.segment((x1, y1), width=(wg_width_1, \"linear\"))\n",
        "\n",
        "    # Define geometry from path vertices\n",
        "    taper_geo = td.PolySlab(\n",
        "        vertices=path.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "    )\n",
        "\n",
        "    # Define tidy3d structure of the taper\n",
        "    taper = td.Structure(geometry=taper_geo, medium=medium)\n",
        "\n",
        "    return taper"
      ],
      "id": "1312b225"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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NqsqrSqDJieBqaUdjlLzrtCQpLCxMCxculKcnS1oBAAAAACoOCgoA\nAJSyQ4cOafz48ZIki4+HAm+gEXNFk5WYprh1f/dNmDt3rmrXrm1iIgAAAAAAXI+CAgAApWzw4MFK\nS0uTJAXeUFtWPy+TE8GVHFl2xa0+KEdapiTp+eefV/fu3U1OBQAAAACA61FQAACgFK1cuVIrVqyQ\nJHlW9pdfs6omJ4KrJW47oYzoREnSjTfeqDfffNPkRAAAAAAAlA4KCgAAlJLU1FQ988wzxr6tfT1Z\nrDRirkjSjsUqeUeUJCkkJESLFy+Wt7e3yakAAAAAACgdFBQAACgl7777rg4dOiRJ8m1cWd7VbSYn\ngitlJaUrbu0hY3/WrFmqV6+eeYEAAAAAAChlFBQAACgFx44d0xtvvCFJsnh7KLANDXorEofdobg1\nB+VIdfZNGDhwoHr06GFyKgAAAAAAShcFBQAASsGQIUOUkpIiSQq4rqY8/FkGpyJJ+vWkMqISJEmt\nW7fWhAkTTE4EAAAAAEDpo6AAAICLrVmzRkuXLpUkeYT6yT+imsmJ4EppJ+KUtP2kJMlms2nx4sXy\n8fExORUAAAAAAKWPggIAAC6UkZGhgQMHGvtB7evK4sF/txVFVnK64n/4u2/Cxx9/rIYNG5qYCAAA\nAACAssMVDgAAXGjy5Mn6448/JEk+V4XJu2awyYngKg67Q/E/HJI9JUOS9J///Ef333+/yakAAAAA\nACg7FBQAAHCRqKgojRo1yrnjaZXtpjqm5oFrJe04pfST8ZKkli1b6t133zU5EQAAAAAAZYuCAgAA\nLjJ06FAlJDgb9Qa2rimPQNbVryjST8UradsJSVJAQICWLFkiPz8/k1MBAAAAAFC2KCgAAOACGzZs\n0IIFCyRJHsG+8m9Z3eREcBV7Sobi1hyUHM79jz76SE2aNDE3FAAAAAAAJqCgAABACWVmZmrAgAHG\nvq0djZgrCofDobi1h2RPdvZN6N+/v/r27WtyKgAAAAAAzMHVDgAASmjatGnatWuXJMmnXqh86oSY\nGwguk7wzSunH4yRJzZs31+TJk01OBAAAAACAeSgoAABQAmfPntXLL7/s3PGwyNaWRswVRfrpBCVu\nPS5J8vPz05IlS+Tv729yKgAAAAAAzENBAQCAEhgxYoRiY2MlSQHXhMsjyNfcQHAJe2pmjr4JU6dO\nVUREhLmhAAAAAAAwGQUFAACKaevWrZo5c6YkyWrzUcA14SYngis4HA7Frzske2K6JKlv37569NFH\nzQ0FAAAAAEA5QEEBAIBisNvtGjBggBwO5y3stnZ1ZPHkv9WKIHn3aaX9FStJatKkiT788ENZLBZz\nQwEAAAAAUA5w5QMAgGKYPXu2fvnlF0mSd+1g+dQNNTkRXCHjTKIStzj7Jvj4+GjJkiUKDAw0ORUA\nAAAAAOUDBQUAAIooJiZGw4YNc+5YLbK1q8sd7BWAPS1TsasPSnbnrJNJkyapZcuWJqcCAAAAAKD8\noKAAAEARjRw5UufOnZMk+besLs8QP5MToaQcDofifzwse0KaJOmBBx7Qk08+aXIqAAAAAADKFwoK\nAAAUwY4dO/TBBx9IkqwBXgpoXdPkRHCFlD3RSjsSI0m66qqrNH36dGadAAAAAABwCQoKAAAUksPh\n0IABA2S32yVJtpvqyurlYXIqlFTGuSQlbDomSfL29taSJUsUFBRkcioAAAAAAMofCgoAABRSZGSk\nNm7cKEnyCrfJ56owkxOhpOzpmYr7/oDRN+Htt99W69atTU4FAAAAAED5REEBAIBCiI+P1wsvvODc\nsUhB7euxJM4VzuFwKH79UWXFO/sm9OzZUwMGDDA5FQAAAAAA5RcFBQAACmH06NE6ffq0JMm/RXV5\nhvmbnAgllbLvrNIOnZck1atXTzNnzqRIBAAAAADAZVBQAACgAHv37tWkSZMkSVY/LwVcRyPmK13G\n+WQlbDwqSfL09NSiRYsUEhJiaiYAAAAAAMo7CgoAAFyGw+HQoEGDlJmZKUkKvKm2rD6eJqdCSdgz\nshS3+oCU5eyb8NZbb6lNmzYmpwIAAAAAoPyjoAAAwGV89tlnWrNmjSTJq1qgfBtVNjkRSirhp6PK\nik2VJHXv3l2DBw82OREAAAAAAFcGCgoAAOQjKSlJzz33nLFv60Aj5itdyv6zSv3znCSpdu3amjNn\nDt9TAAAAAAAKiYICAAD5GDt2rI4fPy5J8mteVV6VA0xOhJLIjElW/E9HJUkeHh5auHChKlWqZG4o\nAAAAAACuIBQUAADIw8GDBzVhwgRJksXXU4E31DY5EUrCkZGl2O8PSpl2SdIbb7yh9u3bm5wKAAAA\nAIArCwUFAADy8Oyzzyo9PV2SFHhDbVl9acR8JUv4+S9lxaRIkjp37qyhQ4eanAgAAAAAgCsPBQUA\nAC6xYsUKrVy5UpLkWTlAfk2rmJwIJZFy4JxS9p2VJNWoUUPz5s2T1cqvQAAAAAAAFBV/TQMAkE1q\naqqeeeYZY9/Woa4sVpr2XqkyY1OUsOGIJMlqtWrhwoWqWrWqyakAAAAAALgyUVAAACCbCRMm6MgR\n5wVo3yZV5F3NZnIiFJcj06641QflyHD2TRg1apRuueUWk1MBAAAAAHDloqAAAMD/HD16VG+++aYk\nyeLtIVsbGjFfyRI2/aXM88mSpNtvv10jRowwOREAAAAAAFc2CgoAAPzP888/r9TUVElS4A21ZPXz\nMjkRiiv10Hml7D0jSapataoiIyPl4eFhcioAAAAAAK5sFBQAAJD03Xff6fPPP5ckeYb5ya95NZMT\nobgy41IVv965bJXFYlFkZKSqV69ucioAAAAAAK58FBQAAG4vPT1dgwYNMvZt7evRiPkK5cj6X9+E\n9CxJ0ksvvaQ777zT5FQAAAAAAFQMFBQAAG5v0qRJ2r9/vyTJt2EleYcHmZwIxZW4+bgyzyVJkjp2\n7KhXX33V5EQAAAAAAFQcFBQAAG7t5MmTGj16tCTJ4mVV4E11TE6E4ko9ckHJv5+WJFWuXFkLFy6U\np6enyakAAAAAAKg4KCgAANza0KFDlZiYKEkKaF1THgHeJidCcWQlpCl+3WFjf968eapZs6aJiQAA\nAAAAqHgoKAAA3Nb69ev1ySefSJI8QnzlfzWNe69El/ZNGDp0qO666y6TUwEAAAAAUPFQUAAAuKXM\nzEwNGDDA2Le1qyuLB/8tXokSfzmhjDPOWSZt27bVG2+8YXIiAAAAAAAqJq6cAADc0ocffqjdu3dL\nknzqh8qndoi5gVAsaX/FKHlnlCQpNDRUixYtkpeXl8mpAAAAAAComCgoAADcTnR0tF555RXnjodF\ntrZ1zQ2EYslKTFNctr4Jc+bMUZ06NNUGAAAAAKC0UFAAALid4cOHKy4uTpIUcG1Nedh8TE6EonLY\nHYpbc0iO1ExJ0uDBg3XPPfeYnAoAAAAAgIqNggIAwK1s3rxZs2fPliR5BPkooFUNkxOhOJK2nVDG\n6QRJ0g033KBx48aZnAgAAAAAgIqPggIAwG1kZWXlbsTsyX+FV5q047FK+u2UJCk4OFiLFy+Wt7e3\nyakAAAAAAKj4uIoCAHAbM2fO1K+//ipJ8q4TIp+6oSYnQlFlJaUr7odDxv7MmTNVv359ExMBAAAA\nAOA+KCgAANzC+fPnNXz4cOeO1SJbOxoxX2kcdofifvi7b8J///tf3XfffSanAgAAAADAfVBQAAC4\nhVdeeUUXLlyQJAW0qiHPYF+TE6GokrafVMapeEnStddeq7ffftvkRAAAAAAAuBcKCgCACm/79u36\n6KOPJEnWQG8FXBtuciIUVfrJOCX9elKSFBgYqMWLF8vXl6IQAAAAAABliYICAKBCs9vtGjBggBwO\nhyTJ1raOLF4eJqdCUdhTMnL0TZgxY4YaNWpkYiIAAAAAANwTBQUAQIW2YMECbdq0SZLkXTNIPvXD\nTE6EonA4nH0T7MkZkqT/+7//04MPPmhyKgAAAAAA3BMFBQBAhRUXF6ehQ4c6d6wW2drXlcViMTcU\niiR5xymln4iTJF199dWaNGmSyYkAAAAAAHBfFBQAABXWa6+9pujoaEmSf4tq8gz1NzkRiiI9KkGJ\nv5yQJPn7+2vJkiXy8/MzORUAAAAAAO6LggIAoEL6/fff9f7770uSrP5eCriupsmJUBT2lAzFrTkg\nOVtf6MMPP1TTpk3NDQUAAAAAgJvzNDtAWdmzZ49effXVIj3n3//+tzp16lRKiQAApcXhcGjgwIHK\nysqSJAW2qSOrt9v8l3fFczgcilt3WPYkZ9+ERx99VI888ojJqQAAAAAAgNtcXTl79qw+++yzIj2n\nZ8+epZQGAFCalixZonXr1kmSvKrb5NuokrmBUCTJu04r/VisJKlZs2aaMmWKuYEAAAAAAIAkNyoo\nREREaOnSpQUe9/jjjys+Pl5+fn7q3r17GSQDALhSYmKinn/+eeeORbJ1oBHzlSQ9OkGJW49Lknx9\nfbVkyRIFBASYnAoAAAAAAEhuVFCoUqWKevXqddljNmzYoPj4eEnSfffdp6CgoLKIBgBwoTFjxujk\nyZOSJL/m1eRViYvRVwp7WqbiVh+U7M7GCZMnT1aLFi1MTgUAAAAAAC6iKXM2c+fONbYfe+wxE5MA\nAIrjzz//1DvvvCNJsvh6KvCGWiYnQmE5HA7Frzsse2K6JOmhhx7S448/bnIqAAAAAACQHQWF/0lJ\nSTGWRKpXr55uu+02kxMBAIrC4XBo0KBByshwNvK1taktq4/bTMS74qX8Hq20ozGSpEaNGumjjz5i\nqSoAAAAAAMoZCgr/89lnnxnLHT366KNcxACAK8zy5cv17bffSpI8qwTIt0kVkxOhsDLOJiph8zFJ\nko+Pj5YsWSKbzWZyKgAAAAAAcCkKCv8zZ84cSZLFYlG/fv3MDQMAKJKUlBQ9++yzxn5Qh3oUhq8Q\nl/ZNmDhxoq655hpzQwEAAAAAgDyxFoSk48ePa+3atZKk2267TfXq1SvWODExMfk+FhsbW6wxAQAF\nGz9+vI4ePSpJ8mtaRV5VA80NhEJxOByKX39EWfFpkqRevXrpP//5j8mpAAAAAABAfigoSJo3b57s\ndrukkjVjDgsLc1UkAEAhHTlyROPGjZMkWbw9FHhjbZMTobBS/jijtMMXJEkNGjTQxx9/zMwSAAAA\nAADKMZY8kjR37lxJUlBQkHr27GlyGgBAUTz33HNKTU2VJAXeUEtWPy+TE6EwMs4lKeHnvyRJXl5e\nWrx4sYKDg01OBQAAAAAALsftZyhs3LhRBw4ckCQ9+OCD8vf3L/ZYFy5cyPex2NhYNWjQoNhjAwBy\n++abb/TFF19Ikjwr+cuveTVzA6FQ7OlZzr4JWc6+CRMmTND1119vcioAAAAAAFAQty8oXGzGLJVs\nuSNJCg0NLWEaAEBhpaWladCgQca+rX09Wawsl1PeORwOJWw4oqw456ySe++9N8f3EQAAAAAAlF9u\nveRRSkqKlixZIklq2rSpbrrpJpMTAQAKa+LEicYMM99GleRdw2ZyIhRG6v6zSj14XpJUp04dzZo1\ni74JAAAAAABcIdy6oLBs2TLFx8dLKvnsBABA2Tlx4oRef/11SZLFy6rANnVMToTCyLyQrPiNzr4J\nnp6eWrx4scLCwkxOBQAAAAAACsutCwoXlzvy8PDQww8/bG4YAEChDRkyRMnJyZKkgOtrySPA2+RE\nKIgjI0ux3x+QMu2SpLFjxzIzEAAAAACAK4zbFhROnDihNWvWSJLuuusu1ahRw+REAIDCWLt2rRYv\nXixJ8gjxlX8EjZivBPEb/1JWrLNvQteuXfXcc8+ZnAgAAAAAABSV2xYU5s2bJ7vdeZckyx0BwJUh\nIyNDAwcONPZt7evJ4uG2/5VdMVL+PKvU/WclSTVr1tTcuXNltfJ9AwAAAADgSuO2f83PmzdPklS5\ncmV1797d5DQAgMKYOnWq9uzZI0nyaRAmn1rBJidCQTJjUpSw4agk5xKDCxcuVOXKlc0NBQAAAAAA\nisUtCwqbNm3S/v37JUl9+vSRtzdrbwNAeXf69Gm9+uqrzh1Pq2w30Yi5vHNk2hW3+oAc/+ubMHr0\naHXs2NHkVAAAAAAAoLg8zQ5ghrCwMC1dulSS1K5dO5PTAAAKY9iwYYqPj5ckBV4bLg+bj8mJUJCE\nn/9S5oUUSVKnTp00bNgwkxMBAAAAAICScMuCQpMmTdSkSROzYwAACunnn3/W3LlzJUkeQT7yb1XD\n5EQoSOrB80r544wkqXr16po/fz59EwAAAAAAuMLxlz0AoFzLysrSgAEDjH0aMZd/mXGpil9/WJJk\nsVj0ySefqFq1aianAgAAAAAAJcUVGQBAuTZ9+nT99ttvkiTvuiHyqRNibiBcliPrf30TMpx9E0aO\nHKnbbrvN5FQAAAAAAMAVKCgAAMqtc+fO6aWXXnLueFhka1vX3EAoUMKmY8o8lyxJuvXWW/XKK6+Y\nnAgAAAAAALgKBQUAQLn10ksvKSYmRpIU0CpcnsG+JifC5aQevqCUPdGSpCpVqigyMlIeHh4mpwIA\nAAAAAK5CQQEAUC5t27ZNM2bMkCRZA70VcA2NmMuzrPhUxf/4d9+EBQsWKDw83ORUAAAAAADAlSgo\nAADKHbvdrgEDBsjhcEiSbO3qyuLFne7llSPLrtjVB+VIz5IkDR8+XP/4xz9MTgUAAAAAAFyNggIA\noNyZO3eutmzZIknyrhUsn3qhJifC5SRuPa7Ms0mSpA4dOui1114zOREAAAAAACgNFBQAAOVKbGys\nXnzxReeO1SJb+7qyWCzmhkK+0o7GKHnXaUlSpUqVtHDhQnl6epqcCgAAAAAAlAYKCgCAcuXVV1/V\n2bNnJUn+V1eXZ4ifyYmQn6yENMWtO2Tsz507V7Vq1TIxEQAAAAAAKE0UFAAA5cauXbs0ZcoUSZLV\n30sBrWuanAj5cWTZFbfmoBxpzr4JQ4YMUbdu3UxOBQAAAAAAShMFBQBAueBwODRw4EDZ7XZJUmDb\nOrJ604i5vErcdkIZ0YmSpJtuuklvvvmmyYkAAAAAAEBpo6AAACgXFi1apPXr10uSvGrY5HtVJZMT\nIT9px2KVvCNKkhQSEqKFCxfKy8vL5FQAAAAAAKC0UVAAAJguISFBQ4YMce5YJFv7ejRiLqeyktIV\nt/bvvgmzZ89WvXr1zAsEAAAAAADKDAUFAIDp3njjDZ06dUqS5BdRTV6V/E1OhLw47A5n34TUTEnS\noEGD9M9//tPcUAAAAAAAoMxQUAAAmGrfvn169913JUkWX08FXl/L5ETIT9KvJ5URlSBJuu666zR+\n/HiTEwEAAAAAgLJEQQEAYJqLjZgzM513vNva1JHVx9PkVMhL2ok4JW0/KUkKCgrS4sWL5ePjY3Iq\nAAAAAABQligoAABMs2zZMq1evVqS5FU1UL5NKpucCHnJSk5X/A9/9034+OOPddVVV5mYCAAAAAAA\nmIGCAgDAFMnJyRo8eLCxb+tAI+byyGF3KP6HQ7KnZEiSnnrqKf3rX/8yORUAAAAAADADBQUAgCnG\njRunY8eOSZL8mlWVV5UAkxMhL0k7Tin9ZLwkqVWrVka/CwAAAAAA4H4oKAAAytyhQ4eMhr4WH08F\n3kgj5vIo/VS8kradkCQFBARoyZIl8vX1NTkVAAAAAAAwCwUFAECZGzx4sNLS0iRJgTfWktXXy+RE\nuJQ9JUNxaw5KDuf+tGnT1LhxY3NDAQAAAAAAU1FQAACUqZUrV2rFihWSJM/K/vJrWtXkRLiUw+FQ\n3NpDsic7+yY8/vjj6tOnj8mpAAAAAACA2SgoAADKTGpqqp555hlj39a+nixWGjGXN8k7o5R+PE6S\nFBERoffff9/kRAAAAAAAoDygoAAAKDPvvvuuDh06JEnybVxZ3tVtJifCpdJPJyhx63FJkr+/v5Ys\nWSJ/f3+TUwEAAAAAgPKAggIAoEwcO3ZMb7zxhiTJ4u2hwDa1TU6ES9lTc/ZNmDp1qpo3b25uKAAA\nAAAAUG5QUAAAlIkhQ4YoJSVFkhRwXU15+HubnAjZORwOxa07LHtiuiTp4YcfVr9+/UxOBQAAAAAA\nyhMKCgCAUrd69WotXbpUkuQR6if/iGomJ8KlknefVvpfsZKkpk2b6oMPPpDFQn8LAAAAAADwNwoK\nAIBSlZ6eroEDBxr7QR3qyeLBfz/lScaZRCVucfZN8PX11eLFixUYGGhyKgAAAAAAUN5wRQcAUKom\nT56sffv2SZJ8rqok7/AgkxMhO3tapmJXH5TszsYJkyZNUsuWLU1OBQAAAAAAyiMKCgCAUhMVFaVR\no0ZJkiyeVtluohFzeeJwOBT/42HZE9IkSQ8++KD+7//+z+RUAAAAAACgvKKgAAAoNUOHDlViYqKk\n/zViDvQxORGyS9kTrbQjMZKkhg0batq0afRNAAAAAAAA+aKgAAAoFRs2bNCCBQskSR7BvvK/urrJ\niZBdxtkkJWw6Jkny9vbWkiVLFBTEclQAAAAAACB/FBQAAC6XmZmpAQMGGPu29nVpxFyO2NMzFbf6\ngNE34d1339W1115rcioAAAAAAFDecXUHAOBy06ZN065duyRJPvVC5VM7xNxAMDgcDsWvP6qseGff\nhJ49e+rpp582ORUAAAAAALgSUFAAALjU2bNn9fLLLzt3PCyyta1jbiDkkPLHWaUdOi9JqlevnmbO\nnEnfBAAAAAAAUCgUFAAALjVixAjFxsZKkgKuCZdHkK+5gWDIOJ+shJ+PSpK8vLy0ePFihYSEmJoJ\nAAAAAABcOSgoAABcZuvWrZo5c6YkyWrzUcA14SYnwkX2jCxn34QsZ9+Et956SzfeeKPJqQAAAAAA\nwJWEggIAwCXsdrsGDBggh8N5wdrWro4snvw3U14k/HRUWbGpkqR77rlHzz77rLmBAAAAAADAFYcr\nPQAAl5g1a5Z++eUXSZJ37WD51A01OREuStl/Vql/npMk1a5dW7Nnz6ZvAgAAAAAAKDIKCgCAErtw\n4YKGDRvm3LFaZGtXlwvW5URmTLLifzoqSfLw8NCiRYsUFhZmbigAAAAAAHBFoqAAACixkSNH6vz5\n85Ik/5Y15BniZ3IiSJIjI0ux3x+UMu2SpDFjxqhdu3YmpwIAAAAAAFcqCgoAgBLZsWOHPvzwQ0mS\nNcBbga1pxFxexP/8l7JiUiRJXbp00QsvvGByIgAAAAAAcCWjoAAAKDaHw6EBAwbIbnfeAW9rW0cW\nLw+TU0GSUg6cU+q+s5Kk8PBwzZs3T1Yr/+0DAAAAAIDi48oCAKDYIiMjtXHjRkmSV3iQfBqwNn95\nkBmbooQNRyRJVqtVCxcuVJUqVUxOBQAAAAAArnQUFAAAxRIfH//3EjoWKag9jZjLA0emXXGrD8qR\n4Zw18tprr+nmm282ORUAAAAAAKgIKCgAAIpl9OjROn36tCTJv0V1eYb5m5wIkpSw6S9lnk+WJN1x\nxx0aPny4yYkAAAAAAEBFQUEBAFBke/fu1aRJkyRJVj8vBVxX0+REkKTUQ+eVsveMJKlatWpasGCB\nPDzoaQEAAAAAAFyDggIAoEgcDocGDRqkzMxMSVLgTbVl9fE0ORUy41IVv97ZN8FisSgyMlLVq1c3\nORUAAAAAAKhIKCgAAIrks88+05o1ayRJXtUC5duossmJ4Mj6X9+E9CxJ0ssvv6w77rjD5FQAAAAA\nAKCioaAAACi0pKQkPffcc8a+rUM9GjGXA4mbjyvzXJIk6ZZbbtGrr75qciIAAAAAAFARUVAAABTa\nm2++qePHj0uS/JpXlVflAJMTIfXIBSX/7myOXblyZUVGRtI3AQAAAAAAlAoKCgCAQjlw4IDefvtt\nSZLF11OBN9Q2ORGyEtIUv+6wsT9//nzVrEmDbAAAAAAAUDooKAAACuRwOPTMM88oPT1dkhR4Y21Z\nfWnEbCZn34QDRt+EF198UV26dDE5FQAAAAAAqMgoKAAACvTVV19p1apVkiTPKgHya1LF5ERI3HpC\nGWecfRPatWun119/3eREAAAAAACgoqOgAAC4rNTUVD3zzDPGflD7erJYacRsprS/YpS8K0qSFBYW\npkWLFsnLy8vkVAAAAAAAoKKjoAAAuKwJEyboyJEjkiTfJlXkVS3Q5ETuLSsxTXHZ+ibMmTNHtWvT\nzwIAAACXN3v2bFWvXl3Vq1fXhx9+aHYcAMAVioICACBfR48e1ZtvvilJsnh7yNaGC9dmctgdiltz\nSI7UTEnSc889p7vvvtvkVAAAAChrU6ZMMYoDs2fPLtRzkpKSFB0drejoaCUlJZVywoqlOK93RZee\nnq5ffvlFU6dO1WOPPaabb75ZjRs3Vq1atdS4cWPdfPPNGjx4sNavX1+qOTZu3Kj//ve/atu2rerX\nr68WLVqoe/fumjZtmuLi4kwfD6iI6KgJAMjX888/r9TUVElS4A21ZPVjWR0zJW07oYzTCZKkG2+8\nUWPHjjU5EQAAAMyQmJio6OhoSaI4UAZ4vXOrVauWzp49m+/jBw4c0IYNG/Tee++pbdu2mjlzppo1\na+ay88fHx+s///mPFi5cmOuxPXv2aOXKlRo9erTmzJmjTp06lfl4QEXGDAUAQJ6+++47ff7555Ik\nzzA/+TWvZnIi95Z2PFZJv52SJAUHB2vRokXy9vY2ORUAAAAAd5Senl7oYzdt2qT27dtr586dLjl3\nWlqa7r333jwv/md36tQpde/eXWvXri3T8YCKjoICACCX9PR0DRo0yNi30YjZVFlJ6Yr74ZCxP2vW\nLNWvX9/ERAAAALjS9O/fX1FRUYqKitLTTz9tdhxc4Xx8fHTDDTdowIABmjNnjr799ltt375df/31\nl/744w9FRkbqpptuMo6PiYlRnz59lJmZWeJzv/7661q3bp2x36lTJ3399dc6fPiwduzYoTFjxigw\n0Nn7Lz09XQ8++KASEhLKbDygomPJIwBALpMmTdL+/fslSb4NK8k7PMjkRO7LYXco7oe/+yYMGDBA\nPXv2NDkVAAAArjT+/v7y9/c3OwYqiBMnTsjLK/8lcZs2barevXtr4MCBmjp1qiTn0kFr1qxR586d\ni33e06dPa+LEicb+448/rhkzZshi+fsGuFatWqlr165q3769kpOTdebMGU2YMEGjR48u9fEAd2Bx\nOBwOs0O4g5iYGIWFhUmSLly4oNDQUJMTAUDeTp48qaZNmyoxMVEWL6sqPdBKHgEsrWOWxG0nlPTr\nSUlS69at9fPPP8vHx8fkVLgS8bsIAJQPiYmJWrx4sdasWaP9+/fr/Pnz8vPzU40aNdSgQQPddddd\n6ty5s3E3bHa33nqr9u3bJ0n6888/FRQUpL1792revHnauHGjoqKilJiYqPHjx+uRRx7J8dwzZ85o\n/vz5WrNmjf766y8lJiaqUqVKatasmbp166b7779fnp4F33Not9u1fPlyLV++XLt379a5c+ckSVWq\nVFGVKlXUrFkz3XXXXerYsWO+yzO6YozCcuW57Ha7vvrqK61cuVI7duzQ2bNn5eHhoRo1auiWW27R\nI488okaNGhU6m8Ph0DfffKNVq1Zp27ZtOnv2rLKyslSjRg3VrFlTt956q+655x7VqlXLeM6IESM0\na9YsJSUlKTExUZJks9nyLBRMmzZN9957r7E/e/ZsDR8+XJL06quv6qmnnrpsPle8Z8aMGaPJkydL\nkqZOnar77rtPcXFxmj9/vpYvX66//vpLmZmZql27tjp37qynn35awcHBhXsBC3DmzBmtX79e69ev\n18GDB3XmzBmdPXvW+Hlr3769+vbtq6ZNm+Y7Rkle78J4/vnnFRkZKcnZI+2LL76Q1Zr/YiJDhw7V\nvHnzJDn/Nvjqq68ue3x5kJGRoYYNG+rYsWOSnO+9UaNGFXu89957T4MHD5YkVatWTUeOHJGfn1+e\nx44dO1YjRoyQ5Oz5cOzYsRyFgtIYD3AHFBTKCH/EA7hS9OnTR5988okkKbBNbQVcE25yIveVfjJO\nMV85LxrYbDZt375dDRs2NDkVrlT8LgIA5ps+fbpGjBih8+fPX/a4q666SgcPHsz1+RYtWmjPnj2S\nnP+uv/fee3rjjTeUlZWV47gPPvggx8XiKVOmaMSIEZddoqNRo0aaN29ejiVKLnXkyBH17NlTO3bs\nuGx+SercubO++eabUhmjsFx5rl9++UWPP/64du/ene8xnp6eGjx4sMaNG1fgRd5ffvlFTzzxhHbt\n2lVgtj/++MO46D1gwADjbu+CLFy4UA8++KCxP2XKFA0cOFCSNGHCBA0ZMiTf57rqPTNs2DC99dZb\nkqT58+erfv366t27t44fP57n8dWqVdOqVat07bXXXvZrK8jmzZvVtm3bAo+zWq0aNGiQ3n77bXl4\neOR6vCSvd2HEx8fr2muv1eHDhyU5L1gPGzYsz2NXrVqlbt26yeFwKCAgQL/++quaNGlSpPOZ5dFH\nH9XcuXMlSYMGDdKkSZOKPdatt96qH3/8UZKz4DNmzJh8j42JiVHVqlWNZZY2b96sNm3alOp4gDso\n32VMAECZ+vHHH41igkeIr/yvrm5yIveVlZyRo2/C9OnTKSYAAHAFe+aZZ/Tvf/+7wGKCpEKtMT5u\n3Di99tpruYoJkvPO94tGjhypgQMHFrje94EDB3THHXcYF9YulZqaqs6dOxfq4ryU99fgijEKy5Xn\n+uabb3TLLbdctphwcYwJEyboscceu+xxy5cv180331yoYkJB2UqDq94zl9q1a5fuuuuufIsJkhQd\nHa177rlH8fHxRcp8qcK+Zna7Xe+9955pPSWCgoL0ySefGDM9XnnlFW3dujXXcadPn1a/fv2Mn+33\n33//iikmSM6fx4tq1KhR7HEcDod+/fVXY/8f//jHZY8PDQ3VjTfeaOxnf25pjAe4C3ooAAAkOX/p\nHjBggLFva19PFg/qzmZwOByKX3tQ9uQMSdKTTz5Z5LudAABA+TF9+nS9//77xn7lypX11FNPqVOn\nTqpVq5bS09N16tQpHT58WF9//bX+/PPPAse8eNf33Xffrccff1zNmzeXzWaT5LxIKUmrV6/WG2+8\nYTynevXqGjp0qO644w6FhITo2LFjWrx4sT766CNlZmYqOTlZDz30kH7//fdcM9k+//xzHThwQJLk\n7e2tp59+Wt26dVP9+vXl4+Ojc+fO6fTp09q/f7+++uqrPJcPcsUYheWqcx09elS9e/dWSkqKJKle\nvXp66qmndPPNNys8PFyZmZnat2+f5s6dqyVLlkiS5s2bpzvvvFMPP/xwrvH279+vvn37GhdYPT09\n1adPH913331q3LixfHx8FBUVpZMnT+qHH37QihUrcjx/7NixevnllzVlyhTjTuo333wzzyJGSEhI\nkV83V75nLjVhwgRJ0tVXX61nnnlGN910k4KCgnT8+HHNmTNHM2bMkORcm3/atGl64YUXipw/u5o1\na6pTp0667bbbVLNmTVWtWlWhoaGKi4vTzp07NWvWLK1Zs0aS82f0oYce0i233JJjjNJ+vSWpTZs2\nev311zV8+HBlZmaqd+/e2rFjh/Hz7HA41K9fP509e1aS9K9//Uv9+/fPc6zk5GQ1aNCgWDny4unp\nqRMnTpRojPT09BxFpzvuuKPYYx07dsxYekpy9jYoSKtWrfTzzz9LkjHDq7TGA9wFBQUAgCTn1Pjf\nf/9dkuRTP1Q+tVyzdimKLvm3U0o/4bwrq2XLlnrvvffMDQQAAIotMTHRWLdektq3b68vvvhClStX\nznFckyZNdNttt+nxxx/Pc9ZBXsaPH3/Zi64vv/yycUdzs2bNtG7dOlWtWtV4vE6dOurQoYPuvfde\ndevWzShsTJkyRa+88kqOsXbu3Glsv/vuu/rvf/+b4/GL6/x36dJFzzzzTJ5fgyvGKCxXnWvEiBGK\njY2VJPXo0UORkZG51ldv0KCBunbtqq5du+rRRx+VJL3++uvq27dvrvXVhw0bZtz5X6lSJX311Ve5\nlgyqV6+eJKlXr1764IMPcmSz2Wyy2Ww5emzYbDZVr+6amcWufM/kpVevXoqMjMxRwKldu7batWun\nqlWrGhftP/300xIVFNq2bZvvhfBatWopIiJCDz30kF5//XWNHDlSkrPHw6UFhdJ+vS8aOnSoVq9e\nrTVr1ujw4cN66qmntGDBAknS22+/re+++06S8/WfPn16vuPY7XZFR0e7LFdey0AV1fvvv6/Tp09L\nkjp27Kgbbrih2GOdPHnS2A4ODi5UEad+/fp5Pr80xgPcBbeeAgAUHR399x8AnlbZ2tY1N5AbS4+K\nV+I25x8/AQEBWrx4cb5NwQAAQPm3YMECXbhwQZKzEXBexYRLFeYi3m233XbZC6579+7Vli1bJEkW\ni0WRkZE5Lgxnd+edd+Yoenz88ce5jsneE6Bx48YF5svra3DFGIXlinOdPn1aS5culeS8233BggWX\n/b2sX79+RlPeAwcO5FrS6Pjx4/ryyy+N/YL6D1wuW2lw9XvmUtWqVdPcuXPznQ3ywgsvyMvLS5Kz\nIFSSglJhX7OXX37ZaKT9/fffF/t8JWW1WjV//nzj34bIyEjNmzdP27Zt00svvSTJ+TVFRkYWeyaE\nGbZu3aqXX35ZkuTr66spU6aUaLzsy3BdnIlVkOzHXbqMl6vHA9wFBQUAgIYPH26sUxpwbbg8bD4m\nJ3JP9pQMxa05KP1v2eMPP/zQaMAHAACuTKtXrza2n3766QKLCYX1+OOPX/bx9evXG9u33HJLgU1u\nBw4caKzjfuzYMR07dizH4x06dDC2hw0bVqylPlwxRlmea+3atcZa/A8++KD8/f0LfE7Xrl2N7c2b\nN+d4bM2aNcbd/9ddd12OY8sDV79nLlXQaxgcHGz0BUhLS1NcXFxhoxebxWIx1sSPjY3V0aNHS/2c\n+alRo4Zmz55t7P/3v//V/fffr4wM5zKor7zySo73dV4CAgIUFRXlso+S3IF/4MABde/eXWlpaZKc\nM+JbtmxZ7PEkGUuPSc4CRWFkLwImJSWV6niAu2DJIwBwc5s3bzZ+cfUI8lFAy+I3yULxORwOxa07\nLHuS8w+Gxx57LM91dwEAwJUl+13qnTt3dtm4119//WUf37dvn7F96TIuealUqZKuvvpq/fbbb5Kk\nP/74Q3Xq1DEe79q1qzp37qxvv/1W27dvV4sWLdSkSRN16NBB1113nW666Sa1atUqx8yAS7lijMJy\nxbkuvhaS8w78RYsWScrZ9PrS7ezNZy9deqa03guu4ur3zKWaN29e4JhhYWHGdmJiYo794jh37pw+\n++wzbdiwQfv27VNMTIySk5NzfN+yN4A+d+6cseSUGbp3766BAwdq8uTJSkxMNNb379Chg3Gn/+VY\nLBaXL8dUHAcPHtTtt99u9H144403CmxWXhg+Pn/f+Jaenl6o52T/mbx0hpGrxwPcBQUFAHBjWVlZ\nORsxt6sriyeT18yQvOu00o/FSnL+sTV58mRzAwEAAJc4f/68sV23ruuWlaxUqdJlH7+4zJLkXK6n\nMGrVqmVcHM7+fMl5oXL58uUaM2aM3n//fcXGxmr//v3av3+/Zs6cKUmqWrWqevfureeff161a9fO\nNb4rxigsV5zr3LlzxnZcXFyR75i/dDmU0novuIqr3zOXKswMj+w9J+x2e6Ey5Oftt9/WqFGjinQX\neXlYwmbChAn6/PPPjdkBgYGBioyMLLOlr0pqz5496tSpk6KioiRJY8aM0YgRI1wy9sVG1ZJyNFO+\nnOzf/+y9MEpjPMBdcNUIANzYzJkz9euvv0qSvOuEyKduqMmJ3FN6dIIStx6X5LzLZcmSJQoICDA5\nFQAAcIXs68C78oLgxaVmXHne7MfltX69t7e3XnvtNZ0+fVqrVq3SSy+9pE6dOhlrip85c0aTJk1S\ns2bN9Pnnn+d5DleMUVglPdfFpVqKK/td8FLpvRdcpTTeM2Z5/fXX9cILLxR5SZry8DV8/fXXOZYa\nSkpK0oEDB0xMVHi//PKLbrnlFqOYMG7cOJcVEyRnH5qLzp8/r+Tk5AKf89dffxnbl/YEcfV4gLtg\nhgIAuKnz58//3UjNapGtXfm7S8od2NMyFbf6oGR3/sE5ZcoURUREmJwKAAC4SqVKlYw726OiolSt\nWrUyOW9o6N83ipw5c6ZQz8m+RE/251/Kx8dHXbp0UZcuXSQ5L8Ju2rRJ06dP1/z585WUlKSHHnpI\nf/zxh+rXr19qYxRWcc+VfbmdCRMmqG/fvkU676U3iGSfVXLxgmt5UprvmbIUHR2tN954w9i/9tpr\n1adPH7Vq1Uo1atRQYGCgvL29jdkQgwcPNpazMtuJEyf0xBNP5Picw+HQI488op07dxbYgyU5OVkN\nGjRwWR5PT0+dOHGiUMeuXbtW9957rzHL491339XgwYNdlkWSrrrqKnl7exvLE/3xxx+67rrrLvuc\nP/74w9i+dNktV48HuAsKCgDgpl555RVjWnJAqxryDC5cEyq4jsPhUPy6w7InOn+B7dOnj0vWFgUA\nAOVHkyZNdPjwYUnSjz/+qGuuuaZMzpv9ouKWLVsKPD41NVU7d+409q+66qpCn8vDw0MdOnRQhw4d\n5OvrqxkzZigtLU3z58/XyJEjy2wMV+dt1KiRsf3nn3+WeG36iw2HJed7oTBr4pelsnzPlKZvvvnG\nuED8j3/8Q6tWrbpsr4zY2NgySnZ5drtdDz/8sPE32mOPPabY2FgtW7ZMp06dUv/+/bV8+fICx7i0\nd0dJFHamypdffqkHHnhAaWlpslgsmjJlip5++mmX5bjI09NTLVq00Pbt2yVJP/zww2ULAGlpafrp\np5+M/VatWpXqeIC7YMkjAHBD27dv10cffSRJsgZ6K+DacJMTuaeU36OVdjRGktS4cWN9+OGHOdaN\nBQAAV77bbrvN2J46dWqhG3+WVPv27Y3tr7/+usA74iMjI43lPsLCwnJc/C6K7M2G//zzT9PGcMW5\n7rjjDmN78eLFhb5rPz/Z3wtr1qzJ0aS5qLy9vY3tjIyMEuW6yKz3jKsdP37c2L7vvvsuW0w4f/68\n1q9fX+CYpfF6X2rs2LFat26dJGcxa/Lkyfr444+NfhYrVqzQ1KlTS+XcJTF//nz16tVLaWlpslqt\nmjFjRqkUEy66++67je2ZM2fmWlosu+zv0ZCQEN18882lPh7gDigoAICbsdvtGjBggPGLkq1tHVm8\nyt8arhVdxtlEJWw+Jsk5DX/JkiU5moIBAICK4ZFHHpGvr3Mm6IEDB/R///d/yszMLPXz3njjjcYd\n9unp6Xr88cfzvRB66NAhDRs2zNjv06dPrpscXnvtNW3YsKHA827bts3YvnTJH1eMUViuOFdERIQ6\nduwoSYqPj9f9999fqKa9Bw4c0MCBA3N9vlmzZsZ4DodDDzzwgE6dOlXgeHkJCQkxtrOv6V4Srn7P\nmOXiz5vkXNM/PxkZGerfv3+h1s0vjdc7uy1btmjUqFGSJC8vL33yyScKCAhQWFiY5s+fbxRFhgwZ\not9//z3fcQICAhQVFeWyj+y9HPIydepU9evXT5mZmfLw8NCcOXP0+OOPu+x1ycuDDz5ovB779+/X\n22+/nedxZ86cyTEL6F//+leOwlBpjQe4AwoKAOBm5s+fr02bNkmSvGsGyad+WAHPgKtd2jfhvffe\nY7osAAAVVLVq1fT8888b+/PmzVO7du20bNmyHBenY2NjtX37dr3xxhvq1atXic9rsVj+7pcladWq\nVbr99tu1fv162e12SVJiYqJmz56t9u3b69y5c5KcFySfe+65XOP98ssvuvnmm9W2bVtNmzZNBw4c\nMG5Qsdvt2rdvn4YOHaoJEyYYz8l+x7urxigsV51r/Pjx8vLykuRcpigiIkLvv/++jhw5kuO4U6dO\nafHixbr33nvVrFkzrVixIs9cY8eONZaR2bdvn1q3bq1JkyblWKc+NTVVBw8e1IwZM3T33XfnOUuj\nWbNmxvaiRYv066+/FvalyZer3zNmyb5kzccff6wXXnghRxEgMTFRy5YtU5s2bQpcQuii0ni9L4qP\nj9dDDz1kFBrHjBmj66+/3nj8tttu04svvijJ+d7o3bu3UlNT8xzLYrGoevXqLvu4XM+XcePGGTeq\neXp66pNPPtHDDz9c7NchKysrx7nXrl2b53FNmzbN0c/kxRdf1AsvvGDMqMnKytKqVavUrl0743O+\nvr565ZVXymQ8wB1YHJebywOXiYmJMRo6Xbhwodw0KwLgXuLi4tS4cWPndG2rRZV6XS3PUD+zY7kV\nh8OhuNUHlXbYuTbq/fffr0WLFpWbO7pQcfG7CACYJysrS127dtV3332X67Hg4GBlZGTkuEu6bt26\nOnr0aK5jW7RooT179khy/rue/a7p/PTq1UufffZZjs95eXnJZrMpJiYm1/Ies2bNyrOnU/fu3bVy\n5cocn/P09FRQUJDi4uKUlZWV47GIiAj9+uuv8vHxcekYheXKc3388cd68sknc71WPj4+CgwMVEJC\nQq6lrPL7HkrSxIkT87wA7+/vL29v71xr+u/evVstWrTI8bmMjAzVrFlTZ8+ezfH87DNep02bpnvv\nvdfYnzJlijFzYsKECRoyZEie+Vz1npGkYcOG6a233pLkvLGpoMbWt956q3788UdJ0pEjR1SvXr3L\nHp8Xu92ua6+9NteSUr6+vvLz81NcXJxRIKlcubJatmypH374QZL0/fff684778w1ZnFe78Lq27ev\nIiMjJUl33nmnvvvuu1x/G2RmZqp9+/baunWrJOnpp582dfmjM2fO5Cg2eHl55Whifjm33367Pvnk\nk1yfz8zMNIp3krOgdbGRel7nb9u2rdGf5qLg4GAlJSXlmgX24Ycf6j//+c9lvx5XjgdUdMxQAAA3\nMmrUKGPtV/8W1SkmmCBl7xmjmNCgQQNNnz6dYgIAABWch4eHvvrqK/373//O9f9+XFxcoZZcKa6F\nCxeqf//+OT6XkZGhCxcu5Lgw7O/vrzlz5uR7YXj06NG5LrRmZmbqwoULuS7Ot27dWt9++22ui/Ou\nGKOwXHmuJ554Ql999VWuu7XT0tJ0/vz5XMWEpk2bXvZi7+DBgzV37txcy10mJycXukGwl5eXxo4d\nm+v50dHRxkdKSkqhxrqUq94zZrFarVq6dKnCw3P2iUtNTVVMTIxRTAgPD9fy5ctVv379Ascsrdd7\n3rx5RjGhcuXKmjdvXp5/G1ycAXDxPfPBBx8UenZFabj4Gl6UkZGR47W43MfFptMlUbVqVX377be5\nCm1xcXE5Lv57e3vrnXfeKfDiv6vHAyo6CgoA4CZ+//13TZ48WZJk9fdSwHU0Yi5rGeeSlLDJOd3a\ny8tLS5YsUXBwsMmpAABAWfDy8tJHH32k3377Tf/+97/VoEEDY91ui8WisLAwXX/99XrllVf0+eef\nu/S8M2fO1MaNG9W3b19Vr17deMxqtapZs2YaMmSIDhw4oH79+uU7TuvWrfX9999r+/btGjBggBo3\nbpzjwmflypXVtWtXLViwQFu3bjUaybp6jMJy9bm6du2qo0eP6sMPP9Rdd92VY3aIxWJR/fr19fDD\nD2vVqlXas2ePunXrdtnxHnnkER05ckSjRo3SDTfckGMt9oCAADVu3Fh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5AGy9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\nqf6xoKA6d/HFF1NWVgZAxp6diEtNDDjRb8rn5lLyzSIAWrRowcSJE0lMr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          }
        }
      ],
      "source": [
        "taper = taper_waveguide(\n",
        "    x0=1,\n",
        "    y0=2,\n",
        "    z0=1,\n",
        "    x1=5,\n",
        "    y1=8,\n",
        "    wg_width_0=0.25,\n",
        "    wg_width_1=1,\n",
        "    wg_thickness=0.22,\n",
        "    medium=Si,\n",
        "    sidewall_angle=15 * np.pi / 180,\n",
        ")\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "taper.plot(z=1, ax=ax1)\n",
        "taper.plot(x=2, ax=ax2)\n",
        "ax2.set_xlim(2, 5)\n",
        "plt.show()"
      ],
      "id": "b75652e5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Ring\n",
        "\n",
        "Rings are commonly used structures in PIC to construct resonators. Due\n",
        "to the hole, we can not define one single structure for the ring.\n",
        "Instead, we define two half rings and combine them to make one full\n",
        "ring."
      ],
      "id": "2489d5bb-6a1f-4d0e-968d-2661d914d073"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "def ring_resonator(\n",
        "    x0,\n",
        "    y0,\n",
        "    z0,\n",
        "    R,\n",
        "    wg_width,\n",
        "    wg_thickness,\n",
        "    medium,\n",
        "    sidewall_angle=0,\n",
        "    reference_plane=\"middle\",\n",
        "):\n",
        "    \"\"\"\n",
        "    This function defines a ring and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of center of the ring (um)\n",
        "    y0: y coordinate of center of the ring (um)\n",
        "    z0: z coordinate of center of the ring (um)\n",
        "    R: radius of the ring (um)\n",
        "    wg_width: width of the waveguide (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    medium: medium of the waveguide\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    reference_plane: reference plane for the sidewall angle, either 'bottom', 'middle', or 'top'\n",
        "    \"\"\"\n",
        "    # Top half ring: arc from 0° to 180° (counterclockwise)\n",
        "    path_top = pf.Path((x0 + R, y0), wg_width)\n",
        "    path_top.arc(0, 180, R)\n",
        "    ring_top_geo = td.PolySlab(\n",
        "        vertices=path_top.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "        reference_plane=reference_plane,\n",
        "    )\n",
        "\n",
        "    # Bottom half ring: arc from 0° to -180° (clockwise)\n",
        "    path_bottom = pf.Path((x0 + R, y0), wg_width)\n",
        "    path_bottom.arc(0, -180, R)\n",
        "    ring_bottom_geo = td.PolySlab(\n",
        "        vertices=path_bottom.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "        reference_plane=reference_plane,\n",
        "    )\n",
        "\n",
        "    # Define ring structure combining both halves\n",
        "    ring = td.Structure(\n",
        "        geometry=td.GeometryGroup(geometries=[ring_bottom_geo, ring_top_geo]), medium=medium\n",
        "    )\n",
        "\n",
        "    return ring"
      ],
      "id": "7995055d"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ISj72lCEqJRQKhfj43twyzlDQPCnZ91uYi9GAY33ZX59d79690bt3b8TFxeHgwYM4duwY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eO1aLInu3kC080Nyi/pa3OUWFiemSpLZt2+qZZ54xtyAAAAAAAM4AoQyqjHr16umt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\nogp2pnqXBQYG6rHHHtPYsWMVFFQzA2tULbR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          }
        }
      ],
      "source": [
        "ring = ring_resonator(\n",
        "    x0=2,\n",
        "    y0=4,\n",
        "    z0=1,\n",
        "    R=5,\n",
        "    wg_width=0.5,\n",
        "    wg_thickness=0.22,\n",
        "    medium=Si,\n",
        "    sidewall_angle=15 * np.pi / 180,\n",
        ")\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "ring.plot(z=1, ax=ax1)\n",
        "ring.plot(x=2, ax=ax2)\n",
        "ax2.set_xlim(8, 10)\n",
        "plt.show()"
      ],
      "id": "792fc842"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Race Track\n",
        "\n",
        "Similar to rings, race tracks are commonly used to construct resonators.\n",
        "The way to define a race track is similar to defining a ring."
      ],
      "id": "e6726a17-21bc-4f5f-a1e3-d1afef3d5035"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "def race_track_resonator(\n",
        "    x0,\n",
        "    y0,\n",
        "    z0,\n",
        "    R,\n",
        "    wg_length,\n",
        "    wg_width,\n",
        "    wg_thickness,\n",
        "    medium,\n",
        "    sidewall_angle=0,\n",
        "    reference_plane=\"middle\",\n",
        "):\n",
        "    \"\"\"\n",
        "    This function defines a race track and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of center of the race track (um)\n",
        "    y0: y coordinate of center of the race track (um)\n",
        "    z0: z coordinate of center of the race track (um)\n",
        "    R: radius of the circular part (um)\n",
        "    wg_length: length of the straight waveguide (um)\n",
        "    wg_width: width of the waveguide (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    medium: medium of the waveguide\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    reference_plane: reference plane for the sidewall angle, either 'bottom', 'middle', or 'top'\n",
        "    \"\"\"\n",
        "    x_start = x0 + wg_length / 2 + R\n",
        "\n",
        "    # Top half: right quarter arc → top straight segment → left quarter arc\n",
        "    path_top = pf.Path((x_start, y0), wg_width)\n",
        "    path_top.arc(0, 90, R)  # right quarter arc (0° → 90°)\n",
        "    path_top.segment((x0 - wg_length / 2, y0 + R))  # top straight segment\n",
        "    path_top.arc(90, 180, R)  # left quarter arc (90° → 180°)\n",
        "    race_track_top_geo = td.PolySlab(\n",
        "        vertices=path_top.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "        reference_plane=reference_plane,\n",
        "    )\n",
        "\n",
        "    # Bottom half: right quarter arc → bottom straight segment → left quarter arc\n",
        "    path_bottom = pf.Path((x_start, y0), wg_width)\n",
        "    path_bottom.arc(0, -90, R)  # right quarter arc (0° → -90°)\n",
        "    path_bottom.segment((x0 - wg_length / 2, y0 - R))  # bottom straight segment\n",
        "    path_bottom.arc(-90, -180, R)  # left quarter arc (-90° → -180°)\n",
        "    race_track_bottom_geo = td.PolySlab(\n",
        "        vertices=path_bottom.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "        reference_plane=reference_plane,\n",
        "    )\n",
        "\n",
        "    # Define race track structure combining both halves\n",
        "    race_track = td.Structure(\n",
        "        geometry=td.GeometryGroup(geometries=[race_track_bottom_geo, race_track_top_geo]),\n",
        "        medium=medium,\n",
        "    )\n",
        "\n",
        "    return race_track"
      ],
      "id": "d132d3b1"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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doZE7q6i8fv75Z7z11lu4e/duqV+TlpZm1ZhSSE9Px+DBg3H37l3UrFkTf/31l81mlFUW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          }
        }
      ],
      "source": [
        "race_track = race_track_resonator(\n",
        "    x0=2,\n",
        "    y0=4,\n",
        "    z0=1,\n",
        "    R=5,\n",
        "    wg_length=8,\n",
        "    wg_width=0.5,\n",
        "    wg_thickness=0.22,\n",
        "    medium=Si,\n",
        "    sidewall_angle=15 * np.pi / 180,\n",
        ")\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "race_track.plot(z=1, ax=ax1)\n",
        "race_track.plot(x=2, ax=ax2)\n",
        "ax2.set_xlim(8, 10)\n",
        "plt.show()"
      ],
      "id": "3ca04548"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Waveguide Cosine S-bend\n",
        "\n",
        "Waveguide s-bends are commonly used in various PIC devices. The function\n",
        "`cosine_sbend` defines an s-bend using the `pf.Path.s_bend()` method,\n",
        "which internally uses a cosine profile to smoothly connect two points.\n",
        "The bend direction can be controlled by the `mirror` parameter, and the\n",
        "`orientation` parameter selects whether the bend propagates along the\n",
        "$x$ or $y$ direction."
      ],
      "id": "3f7d23df-7b1b-4ce8-8e0b-4dbab3246984"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "def cosine_sbend(\n",
        "    x0,\n",
        "    y0,\n",
        "    z0,\n",
        "    wg_width,\n",
        "    wg_thickness,\n",
        "    bend_length,\n",
        "    bend_height,\n",
        "    medium,\n",
        "    orientation=\"x\",\n",
        "    mirror=False,\n",
        "    sidewall_angle=0,\n",
        "):\n",
        "    \"\"\"\n",
        "    This function defines a cosine waveguide bend and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of the bend starting position (um)\n",
        "    y0: y coordinate of the bend starting position (um)\n",
        "    z0: z coordinate of the bend starting position (um)\n",
        "    wg_width: width of the waveguide (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    bend_length: length of the bend (um)\n",
        "    bend_height: height of the bend (um)\n",
        "    medium: medium of the waveguide\n",
        "    orientation: orientation of the bend, either 'x' or 'y'\n",
        "    mirror: whether to mirror bend (reverses the transverse direction)\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    \"\"\"\n",
        "    path = pf.Path((x0, y0), wg_width)\n",
        "\n",
        "    if orientation == \"x\":\n",
        "        # S-bend from (x0, y0) to (x0+bend_length, y0 ± bend_height)\n",
        "        end_y = y0 - bend_height if mirror else y0 + bend_height\n",
        "        path.s_bend((x0 + bend_length, end_y))\n",
        "\n",
        "    elif orientation == \"y\":\n",
        "        # S-bend from (x0, y0) to (x0 ± bend_height, y0+bend_length)\n",
        "        end_x = x0 - bend_height if mirror else x0 + bend_height\n",
        "        path.s_bend((end_x, y0 + bend_length))\n",
        "\n",
        "    # Define geometry from path vertices\n",
        "    bend_geo = td.PolySlab(\n",
        "        vertices=path.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "    )\n",
        "\n",
        "    # Define tidy3d structure of the bend\n",
        "    bend = td.Structure(geometry=bend_geo, medium=medium)\n",
        "\n",
        "    return bend"
      ],
      "id": "32d66c7b"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wQ7333nu53ujbvBzybREhv4uqy+HnaWGG5YvhdCnzZIoyohKyiyjR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\ndfz4caWlpalatWqqXr262rZtqxtuuEH169fPc9y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jcUaorBwB3vKu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          }
        }
      ],
      "source": [
        "bend = cosine_sbend(\n",
        "    x0=2,\n",
        "    y0=4,\n",
        "    z0=1,\n",
        "    wg_width=0.45,\n",
        "    wg_thickness=0.22,\n",
        "    bend_length=10,\n",
        "    bend_height=5,\n",
        "    medium=Si,\n",
        "    orientation=\"x\",\n",
        "    mirror=False,\n",
        "    sidewall_angle=15 * np.pi / 180,\n",
        ")\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "bend.plot(z=1, ax=ax1)\n",
        "bend.plot(x=7, ax=ax2)\n",
        "ax2.set_xlim(5, 8)\n",
        "plt.show()"
      ],
      "id": "6dcb46e0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Waveguide Circular Bend\n",
        "\n",
        "Circular bends with an arbitrary bending angle and radius can be defined\n",
        "using the `circular_bend` function. Similar to the s-bend, the circular\n",
        "bend here interfaces with waveguides in the $x$ or $y$ direction and its\n",
        "bend direction can be controlled by the `mirror` parameter."
      ],
      "id": "ecbec97f-cff0-4926-9a3d-11f3defb60f5"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "def circular_bend(\n",
        "    x0,\n",
        "    y0,\n",
        "    z0,\n",
        "    R,\n",
        "    bend_angle,\n",
        "    wg_width,\n",
        "    wg_thickness,\n",
        "    medium,\n",
        "    orientation=\"x\",\n",
        "    mirror=False,\n",
        "    sidewall_angle=0,\n",
        "):\n",
        "    \"\"\"\n",
        "    This function defines a circular waveguide bend and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of the bend starting position (um)\n",
        "    y0: y coordinate of the bend starting position (um)\n",
        "    z0: z coordinate of the bend starting position (um)\n",
        "    R: radius of the circular bend (um)\n",
        "    bend_angle: angle of the bend (rad)\n",
        "    wg_width: width of the waveguide (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    medium: medium of the waveguide\n",
        "    orientation: orientation of the bend, either 'x' or 'y'\n",
        "    mirror: whether to mirror bend\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    \"\"\"\n",
        "    # Convert bend_angle from radians to degrees for pf.Path.arc\n",
        "    bend_angle_deg = np.degrees(bend_angle)\n",
        "\n",
        "    path = pf.Path((x0, y0), wg_width)\n",
        "\n",
        "    if orientation == \"x\":\n",
        "        # Arc starting at -90° (path going in +x direction), sweeping by bend_angle\n",
        "        path.arc(-90, -90 + bend_angle_deg, R)\n",
        "        if mirror:\n",
        "            path.mirror((x0 + 1, y0), (x0, y0))\n",
        "\n",
        "    elif orientation == \"y\":\n",
        "        # Arc starting at 180° (path going in +y direction), sweeping by -bend_angle\n",
        "        path.arc(180, 180 - bend_angle_deg, R)\n",
        "        if mirror:\n",
        "            path.mirror((x0, y0 + 1), (x0, y0))\n",
        "\n",
        "    # Define geometry from path vertices\n",
        "    bend_geo = td.PolySlab(\n",
        "        vertices=path.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "    )\n",
        "\n",
        "    # Define tidy3d structure of the bend\n",
        "    bend = td.Structure(geometry=bend_geo, medium=medium)\n",
        "\n",
        "    return bend"
      ],
      "id": "62ca322f"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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AAABQ0xHcAACASomIiNBXX32lhx56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\n6667zrqP1Wo1Fj7evn278eVjWZN3fKKio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OTk6McffzzrPna7XQsXLpQkXXnllfmmbUTx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\nletkxA0AAAAAlGMUborg5MmTRnvkyJH69ddfFRUVpR49eqhatWrat2+fv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          }
        }
      ],
      "source": [
        "bend = circular_bend(\n",
        "    x0=2,\n",
        "    y0=4,\n",
        "    z0=1,\n",
        "    R=10,\n",
        "    bend_angle=np.pi / 2,\n",
        "    wg_width=0.45,\n",
        "    wg_thickness=0.22,\n",
        "    medium=Si,\n",
        "    orientation=\"y\",\n",
        "    mirror=True,\n",
        "    sidewall_angle=15 * np.pi / 180,\n",
        ")\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "bend.plot(z=1, ax=ax1)\n",
        "bend.plot(x=0, ax=ax2)\n",
        "ax2.set_xlim(8, 12)\n",
        "plt.show()"
      ],
      "id": "e3c63c92"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Directional Coupler\n",
        "\n",
        "A directional coupler (DC) composes of two waveguides brought into close\n",
        "proximity for a certain length. The function `directional_coupler`\n",
        "defines a symmetric DC."
      ],
      "id": "fba4ecb0-7620-4030-b675-ee64ec1408fa"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [],
      "source": [
        "def directional_coupler(\n",
        "    x0,\n",
        "    y0,\n",
        "    z0,\n",
        "    wg_width,\n",
        "    wg_thickness,\n",
        "    wg_spacing_in,\n",
        "    wg_spacing_coup,\n",
        "    wg_length,\n",
        "    coup_length,\n",
        "    bend_length,\n",
        "    medium,\n",
        "    sidewall_angle=0,\n",
        "):\n",
        "    \"\"\"\n",
        "    This function defines a directional coupler and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of directional coupler center (um)\n",
        "    y0: y coordinate of directional coupler center (um)\n",
        "    z0: z coordinate of directional coupler center (um)\n",
        "    wg_width: width of the waveguide (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    wg_spacing_in : spacing between the input straight waveguides (um)\n",
        "    wg_spacing_coup: gap size of the coupling region (um)\n",
        "    wg_length: length of the input straight waveguides (um)\n",
        "    coup_length: length of the coupling region (um)\n",
        "    bend_length: length of the bending (um)\n",
        "    medium: medium of the waveguide\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    \"\"\"\n",
        "    # Y positions: input/output and coupling region\n",
        "    y_in = wg_spacing_in / 2 + y0\n",
        "    y_coup = (\n",
        "        y0 + (wg_spacing_coup + wg_width) / 2\n",
        "    )  # center-to-center gap = wg_spacing_coup + wg_width\n",
        "\n",
        "    # X positions\n",
        "    x_start = x0 - wg_length - bend_length - coup_length / 2\n",
        "    x_bend_in_end = x0 - coup_length / 2\n",
        "    x_bend_out_start = x0 + coup_length / 2\n",
        "    x_end = x0 + wg_length + bend_length + coup_length / 2\n",
        "\n",
        "    # Upper waveguide: straight in → s-bend approach → coupling → s-bend exit → straight out\n",
        "    path_top = pf.Path((x_start, y_in), wg_width)\n",
        "    path_top.segment((x_start + wg_length, y_in))  # straight input\n",
        "    path_top.s_bend((x_bend_in_end, y_coup))  # smooth approach to coupling gap\n",
        "    path_top.segment((x_bend_out_start, y_coup))  # coupling region\n",
        "    path_top.s_bend((x_bend_out_start + bend_length, y_in))  # smooth exit from coupling gap\n",
        "    path_top.segment((x_end, y_in))  # straight output\n",
        "\n",
        "    # Lower waveguide: mirror of upper around y=y0\n",
        "    path_bottom = path_top.copy().mirror((x0 + 1, y0), (x0, y0))\n",
        "\n",
        "    # Convert paths to PolySlab geometries\n",
        "    dc_top_geo = td.PolySlab(\n",
        "        vertices=path_top.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "    )\n",
        "    dc_bottom_geo = td.PolySlab(\n",
        "        vertices=path_bottom.to_polygon().vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "    )\n",
        "\n",
        "    # Define tidy3d structure of the directional coupler\n",
        "    dc = td.Structure(\n",
        "        geometry=td.GeometryGroup(geometries=[dc_top_geo, dc_bottom_geo]), medium=medium\n",
        "    )\n",
        "\n",
        "    return dc"
      ],
      "id": "42c2ee5b"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LcijM+vXrMXPmTMTExFjc5uG/M3tITU1Fv379EBUVhYCAAOzatcui964yc3FxkbYzMzMt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\n585ce+21eT5kExISwieffML06dPJyclh3LhxBUroFFU7JcHUqVPP2Ecvu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          }
        }
      ],
      "source": [
        "dc = directional_coupler(\n",
        "    x0=5,\n",
        "    y0=2,\n",
        "    z0=1,\n",
        "    wg_spacing_in=10,\n",
        "    wg_width=0.45,\n",
        "    wg_thickness=0.22,\n",
        "    wg_spacing_coup=0.1,\n",
        "    coup_length=5,\n",
        "    bend_length=6,\n",
        "    wg_length=2,\n",
        "    medium=Si,\n",
        "    sidewall_angle=15 * np.pi / 180,\n",
        ")\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "dc.plot(z=1, ax=ax1)\n",
        "dc.plot(x=5, ax=ax2)\n",
        "ax2.set_xlim(1, 3)\n",
        "plt.show()"
      ],
      "id": "8ed9db14"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Multimode Interference (MMI) Coupler\n",
        "\n",
        "A multimode interference (MMI) coupler consists of a wide multimode\n",
        "waveguide connected to single-mode input and output waveguides via\n",
        "s-bends. Power splitting occurs through the self-imaging effect: the\n",
        "multimode region supports many guided modes whose interference pattern\n",
        "reproduces the input field at periodic distances along the propagation\n",
        "direction. The function `make_mmi_shape` builds a symmetric 2×2 MMI and\n",
        "returns the Tidy3D\n",
        "[PolySlab](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PolySlab.html)\n",
        "geometry, which can then be wrapped into a\n",
        "[Structure](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Structure.html)."
      ],
      "id": "4b9da712-d1d0-4f59-93ed-fb3846027581"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_mmi_shape(\n",
        "    l_mmi,\n",
        "    w_mmi,\n",
        "    w_wg,\n",
        "    s_bend_length,\n",
        "    s_bend_offset,\n",
        "    center=(0, 0),\n",
        "    slab_bounds=(-0.11, 0.11),\n",
        "    sidewall_angle=0,\n",
        "    reference_plane=\"top\",\n",
        "):\n",
        "    \"\"\"\n",
        "    Build a symmetric 2x2 MMI coupler and return its Tidy3D PolySlab geometry.\n",
        "\n",
        "    The MMI body is a rectangle of size (l_mmi, w_mmi) centered at the origin.\n",
        "    Four s-bend waveguides are attached symmetrically: two at the input (left)\n",
        "    and two at the output (right) faces. All parts are merged into a single\n",
        "    polygon via boolean union before creating the PolySlab. The resulting\n",
        "    geometry must be wrapped in a td.Structure by the caller.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    l_mmi: length of the MMI multimode region (um)\n",
        "    w_mmi: width of the MMI multimode region (um)\n",
        "    w_wg: width of the access waveguides (um)\n",
        "    s_bend_length: longitudinal length of the s-bend transitions (um)\n",
        "    s_bend_offset: transverse offset of the s-bends — controls port separation\n",
        "        at the input/output relative to the MMI edge (um)\n",
        "    center: (x, y) position of the MMI center (um)\n",
        "    slab_bounds: (z_min, z_max) of the slab in the z direction (um)\n",
        "    sidewall_angle: sidewall angle of the waveguide (rad)\n",
        "    reference_plane: reference plane for the sidewall angle, either 'bottom', 'middle', or 'top'\n",
        "    \"\"\"\n",
        "    # MMI multimode region: rectangle centered at the origin\n",
        "    mmi = pf.Rectangle(size=(l_mmi, w_mmi))\n",
        "\n",
        "    # Access waveguides connect at the top and bottom edges of the MMI face\n",
        "    x_out = l_mmi / 2  # x position of the output face\n",
        "    y_out = w_mmi / 2 - w_wg / 2  # y offset: waveguide centered near the MMI edge\n",
        "\n",
        "    # Output upper s-bend: starts at the output face, bends upward\n",
        "    bend_out_up = pf.Path(origin=(x_out, y_out), width=w_wg)\n",
        "    bend_out_up.s_bend((s_bend_length, s_bend_offset), relative=True)\n",
        "    bend_out_up.segment((10, 0), relative=True)  # straight output section\n",
        "\n",
        "    # Output lower s-bend: mirror of upper across the x-axis\n",
        "    bend_out_down = bend_out_up.copy().mirror()\n",
        "\n",
        "    # Input upper s-bend: mirror of output upper across the y-axis\n",
        "    bend_in_up = bend_out_up.copy().mirror((0, 1))\n",
        "\n",
        "    # Input lower s-bend: mirror of output lower across both axes\n",
        "    bend_in_down = bend_out_down.copy().mirror((0, 1))\n",
        "\n",
        "    # Boolean union of all parts into a single connected polygon\n",
        "    polygons = pf.boolean(\n",
        "        [\n",
        "            mmi,\n",
        "            bend_out_up,\n",
        "            bend_out_down,\n",
        "            bend_in_up,\n",
        "            bend_in_down,\n",
        "        ],\n",
        "        [],\n",
        "        \"+\",\n",
        "    )\n",
        "\n",
        "    assert len(polygons) == 1, \"Expected a single polygon for the union.\"\n",
        "    polygon = polygons[0]\n",
        "    assert len(polygon.holes) == 0, \"Expected no holes.\"\n",
        "\n",
        "    # Translate to the requested center position\n",
        "    polygon.translate(center)\n",
        "\n",
        "    geometry = td.PolySlab(\n",
        "        vertices=polygon.vertices,\n",
        "        axis=2,\n",
        "        slab_bounds=slab_bounds,\n",
        "        sidewall_angle=sidewall_angle,\n",
        "        reference_plane=reference_plane,\n",
        "    )\n",
        "\n",
        "    return geometry"
      ],
      "id": "d96bb993"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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rr2L//v1FHt8aoo6SMkRbjx8/Fp8vXLgQs2bNwqxZszB79mzxMWfOHMyZMwdz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          }
        }
      ],
      "source": [
        "mmi_geo = make_mmi_shape(\n",
        "    l_mmi=3,\n",
        "    w_mmi=1,\n",
        "    w_wg=0.45,\n",
        "    s_bend_length=4,\n",
        "    s_bend_offset=1,\n",
        "    center=(0, 0),\n",
        "    slab_bounds=(-0.11, 0.11),\n",
        "    sidewall_angle=5 * np.pi / 180,\n",
        "    reference_plane=\"top\",\n",
        ")\n",
        "\n",
        "mmi = td.Structure(geometry=mmi_geo, medium=Si)\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
        "mmi.plot(z=0, ax=ax1)\n",
        "mmi.plot(x=0, ax=ax2)\n",
        "ax2.set_xlim(-4, 4)\n",
        "plt.show()"
      ],
      "id": "7a8eae1c"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}