{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Tutorial 4: mode source\n",
        "\n",
        "In this tutorial, we illustrate the usage and the importance of mode\n",
        "sources in integrated photonics simulations.\n",
        "\n",
        "## Setup\n",
        "\n",
        "First we import Tidy3D and the other packages needed. If it is not\n",
        "installed, please perform the installation and account authentication by\n",
        "following the detailed instructions\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/stable/quickstart.html)."
      ],
      "id": "a4fc2c70-78af-4ab6-b992-18bc5c16c82c"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# standard python imports\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "from tidy3d import web\n",
        "from tidy3d.plugins.mode import ModeSolver\n",
        "\n",
        "td.config.local_cache.enabled = False"
      ],
      "id": "3d9e024a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Straight Waveguide Simulation\n",
        "\n",
        "We will do a simulation of a straight waveguide, using a silicon ridge\n",
        "waveguide on a silicon oxide substrate. We begin by defining some\n",
        "general parameters."
      ],
      "id": "9f014f02-00cd-4407-aa8e-f9a8cbf51ddd"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Unit length is micron.\n",
        "wg_height = 0.25\n",
        "wg_width = 0.5\n",
        "\n",
        "# Permittivity of waveguide and substrate\n",
        "si_eps = 3.48**2\n",
        "sio_eps = 1.45**2\n",
        "\n",
        "# Free-space wavelength (in um) and frequency (in Hz)\n",
        "lambda0 = 1.55\n",
        "freq0 = td.C_0 / lambda0\n",
        "fwidth = freq0 / 10\n",
        "\n",
        "# Simulation size inside the PML along propagation direction\n",
        "sim_length = 20  # um\n",
        "\n",
        "# space between waveguide and PML\n",
        "spacing = 1.5  # um\n",
        "\n",
        "# Simulation domain size and total run time\n",
        "sim_size = [sim_length, wg_width + spacing * 2, wg_height + spacing * 2]\n",
        "run_time = 20 / fwidth\n",
        "\n",
        "# Grid specification\n",
        "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lambda0)\n",
        "\n",
        "# monitor and modal plane size\n",
        "sz_plane = 2  # um\n",
        "\n",
        "# Modal source position (x coordinate)\n",
        "src_pos = -sim_size[0] / 2 + spacing"
      ],
      "id": "fe9e8b70"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Create Simulation\n",
        "\n",
        "Now we set up almost everything (structures, monitors, simulation) to\n",
        "run the example. Sources will be set up in the next section.\n",
        "\n",
        "First, we define the substrate and the waveguide. Note that they both\n",
        "need to be extended into the PML layers. In `tidy3d`, the PML layers\n",
        "extend beyond the simulation domain (more details on setting up PML\n",
        "layers can be found\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/latest/faq.html#how-do-i-add-pml-absorbing-boundaries-to-my-simulation)).\n",
        "So when defining the substrate and the waveguide, it is best to extend\n",
        "them well beyond the simulation domain size to make sure they truly\n",
        "extend into the PML layers."
      ],
      "id": "50392866-4082-4869-94c9-865b6207b472"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Waveguide and substrate materials\n",
        "mat_wg = td.Medium(permittivity=si_eps, name=\"silicon\")\n",
        "mat_sub = td.Medium(permittivity=sio_eps, name=\"silica\")\n",
        "\n",
        "# Substrate\n",
        "substrate = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=[0, 0, -sim_size[2]],\n",
        "        size=[td.inf, td.inf, 2 * sim_size[2] - wg_height],\n",
        "    ),\n",
        "    medium=mat_sub,\n",
        "    name=\"substrate\",\n",
        ")\n",
        "\n",
        "# Waveguide\n",
        "waveguide = td.Structure(\n",
        "    geometry=td.Box(\n",
        "        center=[0, 0, 0],\n",
        "        size=[td.inf, wg_width, wg_height],\n",
        "    ),\n",
        "    medium=mat_wg,\n",
        "    name=\"waveguide\",\n",
        ")"
      ],
      "id": "017c8372"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next, we define two types of monitors: \\* `FieldMonitor` to visualize\n",
        "the fields in xy plane at central frequency; \\* A set of `FluxMonitor`\n",
        "to measure the flux as a function of distance away from the source."
      ],
      "id": "510de827-43c4-4a02-9afc-b4f4463dfe89"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "mnt_list = []\n",
        "\n",
        "# xy-plane frequency-domain field monitor at central frequency\n",
        "freq_mnt = td.FieldMonitor(\n",
        "    center=[0, 0, 0], size=[np.inf, np.inf, 0], freqs=[freq0], name=\"field\"\n",
        ")\n",
        "mnt_list.append(freq_mnt)\n",
        "\n",
        "# A series of flux monitors\n",
        "offset_from_source = 0.05  # the space between the 1st monitor and the source\n",
        "\n",
        "pos_start = src_pos + offset_from_source  # define the positions of the monitor\n",
        "pos_end = sim_size[0] / 2 - spacing\n",
        "num = 100\n",
        "pos_list = np.linspace(pos_start, pos_end, num)\n",
        "\n",
        "for i in range(num):\n",
        "    flux_mnt = td.FluxMonitor(\n",
        "        center=[pos_list[i], 0, 0],\n",
        "        size=[0, sz_plane, sz_plane],\n",
        "        freqs=[freq0],\n",
        "        name=\"flux\" + str(i),\n",
        "    )\n",
        "\n",
        "    mnt_list.append(flux_mnt)"
      ],
      "id": "4d00b02d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now it is time to define the simulation object."
      ],
      "id": "7ea41a2d-32a5-4c96-a643-2ecaf1f748a4"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Simulation\n",
        "sim = td.Simulation(\n",
        "    size=sim_size,\n",
        "    grid_spec=grid_spec,\n",
        "    structures=[substrate, waveguide],\n",
        "    sources=[],\n",
        "    monitors=mnt_list,\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        ")"
      ],
      "id": "55e74ba2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Note: Tidy3D is warning us that our Simulation does not contain sources.\n",
        "In this case, since we are using the simulation as a demonstration and\n",
        "are not running any simulations, we may safely ignore this error.\n",
        "\n",
        "## Setup Source\n",
        "\n",
        "In this waveguide example, we are interested in exciting a selected\n",
        "mode. This can be achieved with our in-built `Mode Source` feature\n",
        "(Details can be found\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/ModalSourcesMonitors.html)).\n",
        "The procedure is as follows,\n",
        "\n",
        "- First, we solve for eigenmodes with the in-built solver. The modes are\n",
        "  computed at the central frequency of the source, and in order of\n",
        "  decreasing effective index `n`, such that the modes that are fully\n",
        "  below light-line (if any) should appear first."
      ],
      "id": "3f082b3f-b584-4eeb-a771-32cc726d3b36"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Effective index of computed modes:  [[2.49630979 1.849733  ]]"
          ]
        }
      ],
      "source": [
        "# position and size of source plane\n",
        "src_plane = td.Box(center=[src_pos, 0, 0], size=[0, sz_plane, sz_plane])\n",
        "\n",
        "# number of modes to compute\n",
        "num_modes = 2\n",
        "\n",
        "# setup and solve for modes\n",
        "mode_spec = td.ModeSpec(num_modes=num_modes)\n",
        "ms = ModeSolver(simulation=sim, plane=src_plane, mode_spec=mode_spec, freqs=[freq0])\n",
        "modes = ms.solve()\n",
        "\n",
        "print(\"Effective index of computed modes: \", np.array(modes.n_eff))"
      ],
      "id": "add6c912"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "- Next, we visualize the modes using the in-built plotting functions."
      ],
      "id": "61faf719-e29c-415c-8c9b-0ba35f11c82a"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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KyurVq63706ZNU5cuXZwm0Q4dOmQ309YZb3SQpk+frkmTJknKWGrr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\njTfesMpOnjw5x9gArh7sQQvkgb+/v77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7PPPlv169dXSIj18Ltly5Z64okn7ArVIy0tTffff78kqVu3blqx\nYoVnaeYzzjhDAwcOVNeuXbV582bdcccdGjBggCIjI4PSj12xAgAAAIAdbJmg/eKLL/T999+XSNu4\ncaM2btxYat177rnH9gnaAwcOaNq0aZKkG2+8scSEZ5GHH35Yb731lvbu3atnnnnGp0nPQPRjV6wA\nAAAAaoasrCzNnDlTU6dO1apVqzzpLteJ5QMLCwu1bNkyLVu2TAMHDtRHH32kWrVqBSvcSiMtLU3T\np08vkZaVlaUVK1aUWrdLly5BmaB96623dPjwYUnSCy+8cNK+ubGxsfr3v/+t//u///NcXT1y5Mig\n9GNXrAAAAABgB1smaDt06OBz3WDsmTpv3jy5/7dx33XXXWdaJiQkRMOGDdNzzz2ntWvXas+ePWrU\nqJHt/dgVKwAAAGoGW5deYpmnSuWHH37Q1KlT9dFHH3kmwiSpSZMmGjFihEaOHCmHw6EPPvhAU6dO\n1fbt2/XFF19ozJgxeuedd4IYeeUQHR2tLl26+FTXnzGzP2bPni1JOuWUU0xP9pWkgQMHKiEhQRkZ\nGZozZ45Pk56B6MeuWAEAAFADOBxyVMPB77fffqtly5Zp3759iouL02mnnab/+7//C8o8G0pnywTt\nBx98YEc3AfPdd99JOjGx2a1bN8ty5557rp577jkZhqE1a9boiiuusL0fu2IFAAAAUP0cOXJEH330\nkd566y398MMPnnSn06kBAwbo1ltv1cCBAz1Xz0rSgw8+qLFjx+rRRx/Vk08+qWnTpmnKlCkKDQ0N\nxl2oNNq3b6/169cHO4wyy8vL8zzn5557rmU5l8ulHj166IsvvvCMP+3ux65YAQAAgKpox44duv76\n6/Xtt9+elJeQkKA33nhDV111VRAigze2TNBWNZs2bZIkNW7c2OueNa1atfLc3rhxY7knPQPRj12x\nAihdodsISFlvee5ieUYZ+7Mq5y5jPyXbcpuXL8i37r/QOq+68HYfrR4by8fSp+el7MeeWZ3i7fp6\nbJYlH0Dl55C9+8KyB23wfPvtt3rrrbc0Y8YMZWVledIbNmyom2++WaNGjVLTpk0t67tcLk2YMEGv\nvfaaMjMztXv3btu3poF/tmzZosLCQklS69atvZYtGk9mZGRo//79ql+/vq392BUrqiYjiF9BC/3s\n3J+vzwV+fvfO97F+QWHZf0p0K857gTDzfFd4yddtWuyfn1N5VuOobG8dFZqmWl045fRykZPLopLT\ny1VYIVZfeNzmdVzeviD5cgGWxXHqMMwfF3kZ3zqs8iyelxP9F1jUMe/f6eV15bJID3Oa58SHlFwO\nv7Uz/c//5Fnc/9I4yv4N1nD5ePJaSJhv9Tz9+lffnyV1DKef0w2Gl2OpNOV4bgCHvL/fV0R/FWXf\nvn3q27evdu7cqbCwMA0fPlxnnnmmDhw4oPfff1+7d+/WsGHD5Ha7NWzYsAqMBOVVaSdo165dq/Dw\ncJ1++um2971//35JUoMGDbyWK55/4MCBoPRjR6wZGRmWeZmZmeVqCwAAAEBwXXDBBVqyZInn/w6H\nQxdccIFuvfVWXXbZZQoJKdsw0el0ql69esrMzFRubm5FhVutHT16VGvWrFHnzp2VmJhoa99FY0mp\n/OPJ8kx6BqIfu2Jl7AsAAICq5q677tLOnTsVGhqqhQsXqk+fPp68++67T+eff75++uknjR49Wv37\n91dSUlLwgvXiu+++U0xMzEnpRVt8WuX/tVxVUmknaG+55Rbt2rVL+/bts32prGPHjkmS1ytSJSkq\nKuqkOnb3Y0estWvXLld5AAAAVFX27sNj754/KLJr1y5JUr169XTTTTdp9OjRPl/9Onr0aB08eND2\nycXqYuPGjbrgggv0wAMPaNKkSbb2XXxcWJHjyUD0Y1esjH0BAABqBofs2hX2z/4qwsaNGzVr1ixJ\n0p133lliclY6sbzx22+/rS5duujo0aN6/vnnNXHixAqKxj9ut1vHjx/3Ob8qsmWCdvbs2Tp48GCZ\ny+/Zs0e//fabCgoKtH37drVr164CoztZ0dJJTqf3ZRGK78NUUGCxXEcF92NXrAAAAACqhz59+mjC\nhAm6/PLL/T4Z9t577w1QVFVfamqqPv300zKXd7vdmjdvniRpzZo1FRWWpaKxpFSx48lA9GNXrAAA\nAEBVMmPGDM/tW265xbTMmWeeqbPOOkvr16/XzJkzK90Ebe3atXXJJZcErL2OHTsGrK2KZssE7ZNP\nPqnvv/++3PUiIiJUr169CojIu+joaGVmZionJ8druezsPze48HZpdUX2Y0es6enplnmZmZlq2bJl\nudoDAAAAEDxvvPFGsEOolv744w/9/e9/96lu8+bNAxtMGURHR3tuV+R4MhD92BUrY18AAICaweHw\nvn944DusmGaXL18uSWrYsKHatGljWe7888/X+vXrtXXrVu3evVuNGzeumIB80KFDB33++efBDiMo\nKu0Sx6eeeqomTpyohIQE2/tOSEjQnj17lJaW5rVc8Xxf4gxEP3bEGoznAAAAAMHhtHOMygrHqOFC\nQkI0ZMgQ25c3lkqO8+waT/raTzBiBQAAACq7DRs2SCr9qtH27dt7bm/cuLFSTdDWZLZM0K5Zs0aG\nYXgtk5ubq+3bt+u9997Tiy++KEnq3r27HeGdpG3btvrtt9+0c+dOGYZhuTdWSkpKiTrB6MeuWAFA\nkhwWv9o7nC7TdFg/NlaPJQAAgTR9+nRlZGTouuuuU3x8/En5hYWFMgxDISHeh4b33Xef9uzZo+ee\ne04NGzasoGirtrPOOkv5+fmllsvMzNTq1as1YcIErV27Vq1btw7KylHFx4XFx4tmivLDw8PVrFkz\n2/uxK1bUTO5Sfq/yXte/vvMKfW8gt8DtV99H8nyrn3o8r8xl07O9vyceyys0TT+cW7LezpQ/r26P\nCDEfX0WFWo9JYyzyosLMl0yPCrX+TAx1mT9noV7Hd+b9OCxWbHd6Oyx8GUYaFs+123wZeEehl+et\n0Pz5dxRYHxeOglzz7rPN9xF053jZfzDrqGm6YVHHyMku8f+8Qz97bjtjzU/KcUbFWvYvSa5aiV7z\nS7RVu0GZyxbnjvLzhKEw/94fjJAIn+s6rI63svZt9cIAAswhe08YLuoqOztbGRkZluXKc8Jgdna2\nDh06JEmlTrgWz9+5c2eZ+0DFsuUdz+VyKSQkxOtfdHS0OnXqpOeee06TJk3Sb7/9pjvvvNOO8E5y\nxhlnSJKOHz/uOQPBzNq1a0+qY3c/dsUKAACAmsFh8x8q1oQJE3TnnXdq//79pvkdO3ZUaGioNm/e\n7LWdBQsW6D//+Y+OHDlSEWFWG6WNe0NCQpSUlKRLL71UK1asUMeOHTVhwgQtW7bM9ljj4+M9E5jF\nx4tmivJPO+20Enu82tWPXbECAAAAFWnSpEmqXbu25V95HD3650krxbcEMVN864/i9RBclfKUlDvv\nvFMRERGaPXt2UH4AuOyyyzy3582bZ1lu7ty5kqSmTZvq9NNPD0o/dsUKAAAAAAiciIgI3XXXXZKk\n9957LygxFI0n169frz179piW+fXXX7Vjx44S5YPRj12xAgAAoGZwGIZtfxUhN/fPFQpCQ0O9lg0L\nCzOth+CqlBO04eHhOuWUU1RQUKBdu3bZ3v/pp5+url27SpJefvllpaenn1Rm4cKFnjNzR44cGbR+\n7IoVAAAA1Z9DJ/agteuPK2hR03Xo0EGSPJOKdhs5cqQcDocKCws1ceJE0zJPPPGEpBM/6txwww1B\n68euWAEAAICKMm7cOKWnp1v+lUdUVJTndmmTrjk5Oab1gm3v3r164YUXNHPmzCrVdqBUygla6c/L\nrEu7NLuiTJ48WS6XSwcOHNAll1yirVu3evIWLFig4cOHSzpxReqYMWNM2xg4cKDatWvnmUCtqH4C\n0QYAAAAAwF7BHveefvrp+tvf/iZJeuONN/T4448rO/vEfn1HjhzRmDFjNGvWLEnSPffco+bNm5/U\nxg8//KB27dqpXbt2+ve//11h/QSiDQAAAECSZBgn9ui27e/EVbSRkZFKSEiw/CuP2Ng/98wubSXa\nw4cPe27HxcWVq5+KlJKSojFjxuiFF14IeNvbt2/XmDFj9MorrwS87UCplBO0Bw8e1O7du9W4cWM1\nbdo0KDH06tVLr776qpxOp1avXq22bduqSZMmql27ti699FKlp6crKSlJn3/+eYn1u4vbsWOHkpOT\ntWXLlgrtJxBtAAAAAJLkcDhs/QNqsh9++EGS1LNnz6DF8Nprr6l3794yDEPjx49XYmKiWrRooTp1\n6nh+KBk0aJCefPJJ0/pZWVlKTk5WcnKyDh48WGH9BKoNAAAAoDoICwtTkyZNJEk7d+70Wrb4SrWn\nnHJKhcZVHkVX82ZmZga87aIrkoN1MmxZhAQ7gL/Ky8vTXXfdJbfbrX/9619yOoM3h3zLLbfotNNO\n04QJE7RkyRLt3r1bkhQfH6+hQ4dqwoQJqlevXqXox65YgerO6cdiiy5n2et6K+stz1ksz1HG/qzK\nhbqs319DQszzXBbpIeGR1m1Fmp8YUpB9zLJOVWN1HyXrx8bysbRIl6yfs7IeC1Z1ih9Xvh6bZckv\nzp/XGgD4YteuXdq+fbsKCgrUtGlTtWnTJtghoYbbvHmzJk+erEaNGum2224LWhwRERFaunSpXnjh\nBb355pvasmWLUlJSJEmnnnqqbr/9dt1yyy1+n1ARiH7sihX28ndbNrefDfhTu9DtX98FftTPLvCv\n771Hfdt/7pf93q/QKW7DHu9lUw6ajwkPp2WV+P/xvX/+6BybYD6+OqWu9ZisSaJ5naSoMNP02hGW\nTSk2wvynVG+/Xroc5s+V9TNo03uY1WvH7bas4igssEjPs6zjPn7UPP3wIdP0wgzrk32O7zOvc/SP\nA6bpR/aU7NtZ7Gqz+Ga1TOvENq1r2b8kxbdp4jW/uIi2Z5S5bHHOht73kiyN2+nyq76cvk8ZGH5+\nBvtT2+9dPh2V8lo2wKtTTz1Vu3bt0i+//CK32205n/bjjz9KOnFCdseOHe0M0auGDRtKkpKTk5WS\nkhLQVXDmzp0rSWrcuHHA2gw0WyZo33//fe3bt89rGcMwtHPnTi1ZskTbtm1T165dtW/fPj399NOm\n5f/2t7+pfv36FRFuCeecc46+/PJL5efna9++fQoPD1fdunXLNOD78ssvlZubK5er9A9Ff/oJZBsA\nAABAdfLdd9/p3nvv1erVq0ukt2nTRhMnTtSQIUOCFBmqm/379+u9994rtVx2draSk5M1Z84cFRQU\n6Nprr9Vbb71lWrZBgwa68cYbAxzpyVwul+677z7dd999Onz4sNLT01WnTp0yrcDUpUsXbdq0SZKU\nmJhYYf0Esg0AAADUbA655TCsT0gJPL9PITA1YMAAffnll8rMzNSaNWvUo0ePk3s2DC1atEiSdPbZ\nZ6t27doVEosv6tatq2bNmumPP/5Qly5ddNFFF6lOnTqeOS2Hw6Ho6Gi1a9dOgwYN8izrvHXrVi1a\ntEi7d+9WTk6OjGInHR0/flw//PCDZ7Wi7t2723/HysiWCdqXX35Z33//fbnqrF27VmvXrrXM79+/\nvy0TtEVCQ0PLvdxyixYtbOmnItoAAABADeSQfLgo32cV3denn36qq6++WoWFhQoNDVW3bt0UGhqq\ndevWacuWLRo6dKj+9a9/6aGHHqrYQFAj7N69W//4xz/KXe/VV1+1zOvSpYstE7TF1apVS7VqmV9V\nZCYyMlLt2rWr8H4qqg0AAACgqho6dKgeeOAB5ebm6rnnntPMmTNPKjNv3jzt2LFDknTdddfZHWKp\nxowZo3vuuUfp6en6+OOPLcu1bNlS33zzjRYvXqy//e1vcntZ8aF4nauvvjqQ4QaULRO0UVFRAV/n\nuSxXpQIAAAComX7//Xddf/31Kiws1Gmnnab58+erWbNmkk7sbzN8+HB9+eWXevjhh9WtWzf1798/\nyBGjqnO5XAEf9xbtyQQAAAAggAxDqgZX0DZo0EB33nmnJk+erFmzZun555/XmDFjPPk///yz/v73\nv0uSmjVrptGjR1dIHP64++671bhxY02fPl3Jyck6evSoZ/LV7XYrMzNT2dnZ2rFjh5544gl99NFH\nnvyIiAjFx8d75gsdDociIiLUuHFj9e7dW3fccQd70K5cudKObgAAAAD4qbpsjjF+/HhlZ2crLCxM\nn376qWdyVpLi4+P1ySefqH379tq7d68efPBBrV+/PojRVrwHHnhAcXFxJ6UXbUVjlf/XcrDWuXNn\nHTtmvp8iAAAAAFSEf/3rX1q9erVWrVqle++9V2+99ZY6d+6sAwcOaPny5SosLFR0dLRmz56t8PDw\nYIdr6sorr9SVV15pmud2u7Vs2TINGzZMr7/+uiSpb9++ev7559WpU6cqvcWnLRO0AAAAAGCXrKws\nzZo1S5I0ePBgtW7d+qQycXFxuuWWW/TYY4/p+++/14YNG9SxY0e7Q7XN/Pnz/coHAAAAgGrD0Imr\naO3sr4KEh4dr0aJF+uc//6kpU6Zo06ZN2rRpkye/V69emjJlitq3b19xQVQgp9Opfv366f7779eD\nDz6osLAwzZw5U4mJicEOzW9M0AKodvw5a8afE25Cy7GRnstL2bAQ6yXcXcUCdBVrwum07ivEoq/w\nEOtKoeHmHw9hEebpoTEJlm2FZZtfSeIuyDdPz8+1bCvYnKHmZ5mFRcdb1rF6bCwfS4vHXrJ+zqye\nY2/HRfHjp/hx5fX4K+UYL89rwNfXWlU+Kw6oChySnDa+zipqD9oVK1YoKytLkjRw4EDLcgMHDtRj\njz0mSfriiy+q9QQtAMCc248fTP39rTXfj86zC/xblnHn4Wyf6q1MTi1z2a0bvZdN+2OHaXpGym8l\n/u/OOuS5ndS2q2mdwoJCy35CXeZfOCIsxj5RXsZEEQXmz1lImGUVGYZ5/1bPoLfDwm1x1IV4WabT\nYXWkWtbxcmxZ1DEsxveSZOSZH2vu7KOm6dmpmZZtZW7da5q+a735Sh9r0kv2/b0jw3P71J8jTOu0\nbrTfsn9Jat7XPG4zjeJ82yc9PLG+T/U8Qv3cIsGfZV/9nfBiyA/4JDIyUs8//7wmTJig1atXa//+\n/YqNjdVpp52mli1bBju8gDjjjDMkSe3bt68Wk7MSE7QAAAAAqplffvnFc/vMM8+0LHfGGWfI5XKp\nsLBQv/76qx2h2W7Dhg0yAnhmeEgIQ0gAAAAAVV312IP2r2JiYtS/f39b+rJbTEyMXC6XatXy7eSX\nyiigo+vCwkLPZrwVoaLbBwAAAGo6Oy9Ur6iutm3b5rldfO/ZvwoJCVGDBg20e/fuEnWqE8ZPgce4\nFwAAAADs1bNnTxUUFAQ7jIDysvhh+V166aV65plnPMuJBcqyZct07rnn6scffwxouwAAAACCzzAM\nZWRkeP0rj8OHD0s6sVdNbGys17Lx8fEl6gCl+fHHH9WrVy8tX748oO1mZWXp3//+ty655JKAtgsA\nAADgLwxDDsNt41+w7zAqo4BO0B46dEgPPPCAWrZsqYkTJ+qPP/7wua2cnBzNmDFDffr00fnnn69v\nvvmGfecAAACAamjfvn2qXbu217/yKDphNDzcfO/w4iIjIyVJx48fL3/gqJEcDodWrVqlvn376vzz\nz9fMmTOVm5vrc3spKSmaMGGCWrRooXHjxiktLS2A0QIAAAAAKqOALnH83nvv6b777tPChQv18MMP\n65FHHtF5552nwYMHq3v37urcubPCwsIs6//+++9as2aNlixZolmzZnnOYm/YsKEmTJigzp07BzJc\nAAAAAH/hCOB+pcFSNOYoy/JH+fn5kso2mQtIUufOnfX222/r4Ycf1rJly7Rs2TLFx8dryJAh6t+/\nv7p166bmzZtb1s/NzdVPP/2k7777TnPmzNF///tfzz7BAwYM0LPPPmvTPQEAAABqKne13IMWVUtA\nJ2g7duyor776Sl999ZUeeugh/fDDD1qxYoVWrFgh6cQPJa1atVJiYqJq166t8PBwpaenKz09XTt3\n7tShQ4dKtJeQkKC77rpLY8eOVXR0dCBDBQBTTj8u1A91lX1RgshQ633FvOWFFgswpNiqAi4vgYdZ\nxBUbYf0RUCvKPC8vJsI0vbDAy5cMdyPTZGeY+Q/hBcePWDaVn21+dZO7MN+6fwtOV6hpemik9edN\nSHScaXpEbJJlnajYSPN0i8fS6rGXrJ8zq+fY23FR/Pgpflz5emxK5XsN+PNaA1D9NGjQQBs2bAhY\ne0XLGufn5ys/P1+hoebv+dKfV87GxMQErP/KYs+ePcrPz1ejRo28PgaVre3Kzul06uabb9bVV1+t\nSZMm6eWXX1ZmZqamTp2qqVOnSpLq1KmjJk2aeK4Az83NVVpamtLT07Vt2zbl5eWVaPOss87SxIkT\ndeGFFwbjLgE1muHHiUmFbv9+bPWn/uEc//Zg+yPNt+3Jtm5MLXvZZXN86uMk7kLPzbQt602LxCf1\nsayelVdomm5YPP7uAP+IXt4FAb2NlZwyzzQc3sZi5nWsuwnogouS22ICpNA8vSDbelWKYwfMj9v1\nGTnmXf+1y2JP7c+HzetYpRcZ4jW3pIR2zcpR+k+hzTJ9qlfEEZXgV33D7cf7i9Pf6QbvvzsAQHUS\n0AnaIgMGDNCAAQP03Xff6fXXX9fMmTOVk5OjvLw8bdy4sdT63bp106233qqrr77as+QYAAAAgIpm\n2HsW8f/6cjgcSkjw74ek4ho2bOi5vWfPHq9XM+7Zs0eS1KiR+QlFVVn//v21efNmbdq0Se3atQto\n2/369VNycrI2b96stm3bBrTtqiI6OlpPPPGEHnzwQX388cd6/fXX9f3330uSUlNTlZrqfRIjKipK\nV199tW699VZ17drVjpABAAAASJJh89iXK2j9smTJEs2fP18bNmxQRkaGOnXqpHfffdeTf+zYMa1f\nv16xsbHq0qVLECMtnwqZoC3So0cP9ejRQ1OmTNHq1au1cuVKff/99zpw4IBSU1OVl5enpKQk1alT\nR61bt1bv3r3Vu3dv1a9fvyLDAgAAAFCNdezY0XN78+bNlhO0u3bt8uxX26FDBztCs1XRss3Z2dkB\nb7voymNOqD0x0TpixAiNGDFCe/bs0YoVK7Ry5Upt27ZNqampOnTokCIiIlSnTh3Vr19fXbp0Ue/e\nvdW9e3evWwABAAAAQE22d+9eXXPNNVq5cmWJ9L+OQx0Ohy666CKFh4crLS2tyqzyVKETtEUiIyPV\nt29f9e3b147uAAAAAPjCkBw2nkVcUfvdnnfeeZ7by5cv14ABA0zLLV++3HO7d+/eFRJLMCUmJkqS\nfv31V3Xu3Dlg7R44cEB79+4t0QdOaNSokYYPH67hw4cHOxQAAAAAluxePYoraMvr8OHD6tevnzZv\n3ixJOvPMM5WYmKjFixefVDY6Olq9evXS0qVL9d1335X4TaAys2WCFgAAAADs0rRpU5199tlat26d\nPvzwQz3xxBOmVyq+/fbbkqSEhAT169fP7jArXMeOHfX111/rwQcf1OHDh9W2bdsSj0NoaKgaNmyo\nFi1alKh3/Phxbd26VUePHlVh4Z/79hUUFGjnzp1644035Ha7dcoppyg62nrvdgAAAAAAfDFx4kRt\n3rxZSUlJmjlzpvr06aNVq1aZTtBKUp8+fbR06VItX76cCVoAAAAAVVAQ9qCtCA8//LAGDRqkPXv2\n6IEHHtALL7xQIv/NN9/UihUrJEljx46tlkvNDhs2TC+//LL27dunu+66y7Jcu3btNHfuXLVq1Up3\n3nmnpk6dqvz8/FLbv+GGGwIZLgAAAAAAMgzDs8fsu+++qz59+kg6sZSxlUaNGkmS54rbqoAJWgAA\nAADVzv/93//puuuu04cffqgXX3xRmzZt0lVXXaWwsDAtWrRI06dPlyR1795dY8aMCXK0FeOcc87R\nm2++qQkTJmjXrl2W5TZv3qxhw4Zp+PDhev3110ttt3bt2ho5cqQefPDBQIYLAAAAAPYwDMlt48nJ\nKJcdO3bo0KFDql+/vi699NIy1alXr54kKTU1tSJDCygmaAFUCKf1ySyl8qOq3327vJyFU5rQcnQc\nHuK0zIuNsH5rdhbrw1HG/iIs+kqItr5SqG5OhGl6fmH590sICTXvPyzSvI+83DzLtgpzs0zTjYKC\ncsflCDF/nF3hUZZ1wsLNH7OIaOuN5yOjw03T4+PN0+vGmj8ukvVzZvUce1P8+Cl+XHk7/rwdt1L5\nXgO+vtaq6nsLgOB4++23FRsbq9dff12LFi3SokWLSuRfcsklev/99xURYf3eW9WNGjVKo0aN0t69\ne3Xo0CHl5f35OZuVlaVff/1VTz/9tH766SelpKRIkq6++mpdfvnlatKkicLD//y8CgsLU3x8vJo0\naeL1zGUANU8wt1UL5o5u/v6sW+BHA1n5haUX8mJH6jGf6u35ZY1f/frLKDRf4SEk3HocUyvSfLwW\nGeYyTY8KMU+XpNAQ88+/EC+DBascl98jFD85Le6nw3p8bbjMH0tniPWY2BFhvh2CI9I8PSzOy5g8\n2vx5zrfxTejbHRllLttq10Gf+ojNOe5TvSKuQuvfVcokmJNW/qyw4yj/byMB6zsQ/QPwSEtLkyQ1\na9asRLq3cWjRqljuKjTxzgQtAAAAgD/Z+it7xfYVFham1157TXfeeadmzZqlbdu2qaCgQE2bNtVl\nl12mc845p0L7r0waNmyohg0bnpR+3nnnqVu3bjr77LOVmZmpW2+9tUxX0QIAAABAVeUwDDls3d4n\nmKeUVT0xMTGSpCNHjpS5zh9//CHpxIpPVQUTtAAAAACqtfbt2+uRRx4JdhiV1llnnaXExESlpaVp\n2LBhwQ4HAAAAAFCDNWvWTKGhodqyZYtSU1NVp06dUuvMnz9fknT66adXdHgBw3X3AAAAAP7HOLG0\nl21/nEVcWSQmJkqS6tatG+RIAAAAAKCCGTaPfYO6KUPVEx0drd69e6uwsFATJkzwpFstcbx48WJ9\n9tlnkk5sZVRVMEELAAAAADXclClTNH/+fDVt2jTYoQAAAAAAarh//vOfkqSXX35Z9957rw4fPnxS\nmZycHL3yyisaNGiQDMPQgAED1LlzZ7tD9RlLHAMAAADwsHMfHlv3/IFXffr0CXYIAAAAAGATgxWd\nKrm+ffvqwQcf1NNPP63nn39er732mpo3by5J2rx5s/r06aP169fr+PHjkqQGDRro7bffDmLE5ccE\nLYBqx2KlgzJx+bGuQFSoKyBla8eElbvv3ALrH7gjQszvVK2IUMs6jWpHmqaHWbR1yEtbh46af9Tk\nZBeYphfkFVq2VVAQa5ruLiz/D/xOiyc7xOI+SlJImPnzFhFp/XGaFBthnm7xPNeJC7dsy+o5s3qO\nvR0XVrwdf6Ud4+V5Dfj6WvPn9Q0AAICK4c93NH9/G/X366HVUnll4fKz8zA/GqgV4d9Pei3rxPjW\nb9MOZS6blbbXpz58sXnJl17yzNPrdOhpmt6wZW3Ltjo0rmWafkqdaMs69WLMx3iJkebju+hQ68FS\ndJh5XpjbfHwtSc7cY6bpjpyjpulG5gHLtgoO7TNNz9q527JOevIu0/Q968zb+iYty7KtyqCDlzH7\nX8U28W3rCFdsvE/1ihgh5r9DlD0AP95fHH4u2Olv/araNwBTTz31lOrXr69//vOfysrKUnJysiQp\nLS1NK1as8JTr2rWrZsyYoYYNGwYrVJ8wQQsAAADgT3Ze1coZywAAAAAAuxXtQWtnf/DJ3XffrWuv\nvVbTpk3T8uXL9ccffygrK0sJCQk67bTTNGjQIF166aV+nXQXLLZM0I4cOVKbN29WixYt9Nprryk2\n1vwKKLM6b7/9ttq2bWtDlAAAAAAA+CY5OVkjRoyQJI0YMUI33XRTmeu0a9dOU6dOregQAQAAAKDK\nSUpK0pgxYzRmzJhghxJQtkzQ/vTTT/r+++/1zTff6Oeff9bnn3+upk2blqnO0aPmy22g8ikoKFBB\ngfWSKrCZnyfluP1swJ/abusVbsvWtx9nJPmzF16oyl43xsu7b+1w6yVVitfr1KmT53Zji2V0JSmr\nwPwBzcyxfr2mZ+eZph88nGuafuiYebq3vJzsfNP0gjzrx7HQYsneQC5x7PK6xLF5XoTF0lSSlGSx\nnJVVet1a1ssl1Y40X3443mJ5s6gQL0tpH80xTy/j8WemPK8Bh+HbC91w+/76dhv+nUnn51uTX8vv\nGf4u3lf1TiKstir9dyW7zyIux/sGKs6mTZu0evVqHTx4UNnZ2brjjjuUlJQU7LCqnKNHj+qbb76R\nJH3zzTfasmWLnnzySa9nchfVyckx/1xG5cTYN8CCPHb14+ulfPxK6+Fw+/45GObw7zM0KdK3pTzb\nNiz70siJRwO1zGDFLFdYt0Mn03Rfljhu6WWJ4/q2LHFsPr6WJGfOEdN0h0W6kVnPsq2CQ+bfD7Li\nEyzrpIeZ5yXm1jFNP3qoci9xHG2xJZQZd7xvSxznu/xbotiQf0v1+jPuNnz4faZkA35Udfh7hSJj\nE18YFt91K/93JcOv34F96Q8Vb9WqVVq6dKkee+yxYIdSJrYvrP7rr7+qa9euWrt2rd1dAwAAAAD+\n5/vvv1ePHj3UoUMH3XzzzXrwwQf1+OOP69ChQyXKXXXVVYqPj9fSpUuDFGnV9PTTT2vo0KHKyqrc\nPzQDAAAAQFVlGIY+++wz9ezZU7169dLixYuDHVKZ2TpBO3nyZNWuXVsHDhxQnz59NHPmTDu7BwAA\nAABIWrx4sXr27KnVq1dLkkJDQ+V0mg8Pe/bsqcOHD+vLL7+0M8Qq64wzztBdd90lSfr000/Vu3dv\n7d+/P8hRAQAAAPAoWj3Ktr9g3+Gqo6CgQNu3b9fGjRt1/Phxy3L5+fl677331LFjRw0aNEjffvut\njVEGhi1LHBfp3bu3Bg0apEsuuURbtmzR1Vdfra1bt+qf//ynnWEAqOScfi7F6fTjA8+frsO8LEP0\nV0kWS9VKUkyo9bK0IRbL8hZ4WZLDaXGvIrws5RsXZv7x4Iw3bysq3MtSutHm9/VorvlSJ7n51uuE\n5Vjk+bIymMVv0Irw8viHW+TFhlt/nMZYLD8cZ7Gclbfn3+o5s3qOvR0X8RG+9G+dJ5XvNeDra82f\nM8v8fW8Bagw7l3nyY1sC+O7w4cO65pprlJubqy5dumjy5Mnq1auXOnbsqOTk5JPKDxgwQJKq1JnI\nweRyufTiiy+qbdu2uuuuu7R+/Xp17dpV8+fP1+mnnx7s8IBqx+q7cFn5sySmv98vQ12+NxAT5v27\neWlaJFovyetNw5bmy9KaOXTyR0qlcnDjN6bpaVutt5051KmHafpOL8sin9403jT9lNpRpukN46z7\ntxoTettCxpF7zDTdnbrbND135zbLtjI2pZim71lr3pYkfbPLfCnl3MKq+T2w6Zn1y1w2son3Lf4s\nRZkvpV1mLuttmMrE6ceUgZetHcrCcNi+4CeASuLw4cN66KGHNG3aNB058udnx8CBAzV58mS1b9/e\nk/bxxx/r4Ycf1o4dOzxpYWFhuu666zR27Fhb4/aH7e94rVq10urVq9WnTx8ZhqGHHnpIN954o/Ly\nzPc7BAAAAAAEzrvvvqu0tDS1a9dOK1asUJ8+feRyWf/Q37JlSzkcDm3cuLEK7CVVedx2221asGCB\n4uLitGvXLp177rn6/PPPgx0WAAAAAFQqOTk5Ov/88/Xqq6+WmJyVpC+++EJ9+vTR9u3blZ2drcGD\nB2v48OGeydlatWrpgQceUEpKit5++221a9cuGHfBJ0E5JSUhIUGLFi3STTfdJEn64IMPdMEFFygt\nLS0Y4QAAAAAo4nbb+wfbFe0lO3bsWEVH/3kFlcPiiofQ0FAlJCSooKBABw4csCXG6uKiiy7St99+\nq+bNm+vYsWMaNGiQXnjhhWCHBQAAANRwNi9xzBrHXj3//PP64YcfJJ2YcO3fv7+uuuoqnXrqqZKk\ngwcP6vHHH9cNN9yguXPnSpLq16+vZ555Rjt37tSkSZPUoEGDYIXvs6CtGRAaGqp33nlHTz/9tBwO\nh1auXKnu3bubLqkFAAAAAAiMPXv2SJLOPPPMMteJj4+XJGVnZ1dESNVax44dtWbNGnXv3l1ut1tj\nxozRbbfdxtXIAAAAAKATqzxJ0rnnnqvk5GQtXrxY//nPf/Trr79q+vTpcjqd+uijjzRr1iw5HA49\n8MAD2r59u+6//37FxcUFOXrfBX1R93HjxmnWrFmKiorStm3b1KNHDy1btizYYQEAAAA1kCGH4bbv\nj7OIg6LoSlnjL3sAW11BK8mz2lGtWn7uiVZD1a1bV8uWLdOwYcMkSa+//rouueQSHT58OMiRAQAA\nADWQwRW0lUVGRoa2bt0qh8OhKVOmqF69eiXyhw8fruHDh6uw8MR+608++aQmTZqkqCjzvdyrkqBP\n0ErSFVdcoRUrVqhBgwbKyMjQRRddpK1btwY7LAAAAACodho1aiRJ+u2338pU/pdfftHhw4cVFxen\nxMTEigytWouIiNBHH32kRx55RJK0aNEiXX311UGOCgAAAACCZ+fOnZKkhg0bqkOHDqZlLrjgAklS\nTEyM7r77bttiq2iVYoJWks466yytXbtWp59+uvLz80/aCBgAA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0o3KipK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\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t9u3bh7Zt2+L8+fPuDk2dDtrs7GzMmzcPL774Irp3744XXngBBw4cQHx8PDIzM63+Kb0b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          }
        }
      ],
      "source": [
        "fig, axs = plt.subplots(num_modes, 2, figsize=(10, 8), tight_layout=True)\n",
        "for mode_ind in range(num_modes):\n",
        "    ms.plot_field(\"Ey\", \"real\", f=freq0, mode_index=mode_ind, ax=axs[mode_ind, 0])\n",
        "    ms.plot_field(\"Ez\", \"real\", f=freq0, mode_index=mode_ind, ax=axs[mode_ind, 1])\n",
        "plt.show()"
      ],
      "id": "02b4f550"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "- Finally, we select the mode to excite. In this example, we choose the\n",
        "  fundamental TE mode, or Mode 0."
      ],
      "id": "683a1981-d131-4ba8-87da-08eea8366d34"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "source_time = td.GaussianPulse(freq0=freq0, fwidth=fwidth)\n",
        "mode_source = ms.to_source(mode_index=0, direction=\"+\", source_time=source_time)\n",
        "sim = sim.copy(update={\"sources\": [mode_source]})"
      ],
      "id": "6a6694f9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "As a comparison, here we setup another simulation whose source is simply\n",
        "a dipole source of the same polarization as the TE mode. We place the\n",
        "dipole source off the symmetry plane, since in general the waveguide\n",
        "might not have a symmetry plane."
      ],
      "id": "6761d10d-cd35-4f50-9b22-d6f0828b931f"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "point_source = td.PointDipole(\n",
        "    center=(src_pos, wg_width / 4, wg_height / 4),\n",
        "    source_time=source_time,\n",
        "    polarization=\"Ey\",\n",
        "    name=\"point source\",\n",
        ")\n",
        "sim_point = sim.copy(update={\"sources\": [point_source]})"
      ],
      "id": "93e06295"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Visualization\n",
        "\n",
        "Let’s visualize the simulation with the modal source or the point\n",
        "source."
      ],
      "id": "a2730065-bd8a-4171-b1b6-30cfb52f424b"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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TB3tnzpyJYcOGqfNGIhGMGTMG69atq7ecmpoa9Wuv15vWuqNfzCe7/2MqGzZs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\nUrOyuBwnonZdeqpzr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AEAQG30f8B7xbL/U/8AAPgnqP3Plv7PhD1C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\nff9Pld/jN90wYZ/E66+/rocfflhTpkzRsmXL6j1eVlams846S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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, 2, tight_layout=True, figsize=(8, 4))\n",
        "sim.plot(x=src_pos, ax=ax[0])\n",
        "sim_point.plot(x=src_pos, ax=ax[1])\n",
        "plt.show()"
      ],
      "id": "85e7b652"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Running Simulation\n",
        "\n",
        "We will submit the simulation to run as a new project."
      ],
      "id": "91ddf567-e87d-4e1d-84f6-6565e5fce0ff"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Uploading data for 2 tasks ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:33\n",
            "\n",
            "00:28:20 UTC Started working on Batch containing 2 tasks.                       \n",
            "00:28:24 UTC Maximum FlexCredit cost: 0.141 for the whole batch.                \n",
            "             Use 'Batch.real_cost()' to get the billed FlexCredit cost after    \n",
            "             completion.                                                        \n",
            "00:29:31 UTC Batch complete.                                                    \n",
            "lecture04_mode_sour... → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:01:06\n",
            "lecture04_point_sou... → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:35\n"
          ]
        }
      ],
      "source": [
        "batch = {\"lecture04_mode_source\": sim, \"lecture04_point_source\": sim_point}\n",
        "\n",
        "batch_data = web.run_async(simulations=batch, path_dir=\"data\")\n",
        "\n",
        "sim_data = batch_data[\"lecture04_mode_source\"]\n",
        "sim_point_data = batch_data[\"lecture04_point_source\"]"
      ],
      "id": "7bb80d66"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Post Run Analysis\n",
        "\n",
        "Once the simulation has completed, we can download the results and load\n",
        "them into the simulation object.\n",
        "\n",
        "Now, Let’s visualize the field xy plane at the central frequency"
      ],
      "id": "ca4af832-b35d-4c91-986d-a85d38e22ed6"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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1GwCQHq655hq/DjbdunXTp59+an1H3bNnjzZt2qSvv/5ad911l9q0aRM2v507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\nhRde8EvnRB4oJxMAkkhRUZHZtWtXU1J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AU82u426cIYsv++/En2SER5vXOMFuaUwMGcPJZwCxC2jH9Ti346xdznKaYXa3MS+Vhn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BpC/sWf9CiKywjBZm6vcRDaiYpcPNA5vTPzen8IvysDtQo1v4mkwMF3xsBXEYqkYlFRdQERKE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\nMpBn5iQ2j1zu06RzlFX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O5mszZfVaV20mkGozo/YSmIfNNCkRFmIztQmF37HNlJVSprys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zn2bx3bpmLlZJ92XHsp0oY0wnauzbZkG28qYoftPXmbVMo++4x16RGSa47dLzXP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\naBOKuBef1f6DKyFLQL1eb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XYbgCBaTSaTaVrP4x//+NgxJ598chelJIQQQgghhBBCyGpC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\nhBBCCCGEEEIIIYS0gZFsCFkhrLUciqR7rLe2s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WLr2nTr1s1lPzpw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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, 2, figsize=(12, 3), tight_layout=True)\n",
        "\n",
        "sim_data.plot_field(\"field\", \"Ey\", z=0, f=freq0, val=\"real\", ax=ax[0])\n",
        "sim_point_data.plot_field(\"field\", \"Ey\", z=0, f=freq0, val=\"real\", ax=ax[1])\n",
        "ax[0].set_xlim([-10, 0])\n",
        "ax[1].set_xlim([-10, 0])\n",
        "plt.show()"
      ],
      "id": "ab7d0392"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The field excited by the modal source (left figure) shows single mode\n",
        "features; while the one by the point dipole (right figure) leaks to the\n",
        "free space. To quantitatively illustrate that, we plot the flux as a\n",
        "function of distance away from the source:"
      ],
      "id": "075d4d51-ecf9-406a-9fd3-dff9bc6f1266"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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SpJiYGIWEhDh1/yXl999/13//+181a9ZMTZs2VbNmzVShQgWrywIAAADckivmCI8LrKdO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\nscFKREREREREsvS/LJgLT3wuVaQAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "flux_list = np.zeros_like(pos_list)\n",
        "flux_point_list = np.zeros_like(pos_list)\n",
        "for i in range(num):\n",
        "    flux_list[i] = sim_data[\"flux\" + str(i)].flux.item()\n",
        "    flux_point_list[i] = sim_point_data[\"flux\" + str(i)].flux.item()\n",
        "\n",
        "# normalize the dipole one\n",
        "flux_point_list /= flux_point_list[0]\n",
        "\n",
        "fig, ax = plt.subplots(1, figsize=(5, 4), tight_layout=True)\n",
        "ax.plot(pos_list - src_pos, flux_list, \"-r\", label=\"Modal source\")\n",
        "ax.plot(pos_list - src_pos, flux_point_list, \"--k\", label=\"Point source\")\n",
        "ax.set_xlabel(\"Distance to the source\")\n",
        "ax.set_ylabel(\"Flux\")\n",
        "ax.legend()\n",
        "plt.show()"
      ],
      "id": "9ee9dfe6"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}