{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Creating FDTD animations\n",
        "\n",
        "Animations are often created from FDTD simulations to provide a more\n",
        "intuitive understanding of the physical phenomena being modeled. These\n",
        "animations can visualize the evolution of the field distribution over\n",
        "time, showing wave propagation, interactions, and other dynamic effects\n",
        "that static images cannot adequately depict. This can help researchers\n",
        "and engineers better understand the results of their simulations,\n",
        "identify anomalies, and develop or refine their models. Additionally,\n",
        "these animations can serve as effective educational and communication\n",
        "tools, making complex concepts more accessible to non-experts.\n",
        "\n",
        "This tutorial demonstrates how to create animations in a waveguide taper\n",
        "simulation and display them directly in a Jupyter Notebook. We will show\n",
        "how to use Tidy3D convenience features to animate time-domain and\n",
        "frequency-domain fields.\n",
        "\n",
        "We also provide a comprehensive list of other tutorials such as [how to\n",
        "define boundary\n",
        "conditions](https://www.flexcompute.com/tidy3d/examples/notebooks/BoundaryConditions/),\n",
        "[how to defining spatially-varying\n",
        "sources](https://www.flexcompute.com/tidy3d/examples/notebooks/CustomFieldSource/)\n",
        "and\n",
        "[structures](https://www.flexcompute.com/tidy3d/examples/notebooks/CustomMediumTutorial/),\n",
        "[how to model dispersive\n",
        "materials](https://www.flexcompute.com/tidy3d/examples/notebooks/Dispersion/),\n",
        "and [how to visualize simulation\n",
        "setups](https://www.flexcompute.com/tidy3d/examples/notebooks/VizSimulation/)\n",
        "and\n",
        "[results](https://www.flexcompute.com/tidy3d/examples/notebooks/VizData/).\n",
        "\n",
        "If you are new to the finite-difference time-domain (FDTD) method, we\n",
        "highly recommend going through our\n",
        "[FDTD101](https://www.flexcompute.com/fdtd101/) tutorials."
      ],
      "id": "c7c5d105-72b4-452e-8f64-a2d0802f01af"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.animation as animation\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from IPython.display import HTML"
      ],
      "id": "82442b39"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation Setup\n",
        "\n",
        "For this demo, we simply simulate a linear waveguide taper. The\n",
        "simulation setup is directly borrowed from the [waveguide size\n",
        "converter](../notebooks/WaveguideSizeConverter.html) case study\n",
        "notebook."
      ],
      "id": "b329dff4-be89-486e-923b-b48419807bc9"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.55  # central wavelength\n",
        "freq0 = td.C_0 / lda0  # central frequency\n",
        "ldas = np.linspace(1.5, 1.6, 101)  # wavelength range\n",
        "freqs = td.C_0 / ldas  # frequency range\n",
        "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # width of the frequency distribution"
      ],
      "id": "594b71d3"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "n_si = 3.48  # silicon refractive index\n",
        "si = td.Medium(permittivity=n_si**2)\n",
        "\n",
        "n_sio2 = 1.44  # silicon oxide refractive index\n",
        "sio2 = td.Medium(permittivity=n_sio2**2)"
      ],
      "id": "d0b37953"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "w_in = 5  # input waveguide width\n",
        "w_out = 0.45  # output waveguide width\n",
        "t_wg = 0.11  # waveguide thickness\n",
        "L_t = 10\n",
        "inf_eff = 1e3  # effective infinity of the model\n",
        "\n",
        "# define the substrate structure\n",
        "sub = td.Structure(\n",
        "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)),\n",
        "    medium=sio2,\n",
        ")\n",
        "\n",
        "# vertices of the taper\n",
        "vertices = [\n",
        "    [-inf_eff, w_in / 2],\n",
        "    [0, w_in / 2],\n",
        "    [L_t, w_out / 2],\n",
        "    [inf_eff, w_out / 2],\n",
        "    [inf_eff, -w_out / 2],\n",
        "    [L_t, -w_out / 2],\n",
        "    [0, -w_in / 2],\n",
        "    [-inf_eff, -w_in / 2],\n",
        "]\n",
        "\n",
        "# construct the taper structure using a PolySlab\n",
        "linear_taper = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t_wg)),\n",
        "    medium=si,\n",
        ")"
      ],
      "id": "839f8b49"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To create a time-domain animation, we need to capture the frames at\n",
        "different time instances of the simulation. This can be done by using a\n",
        "[FieldTimeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldTimeMonitor.html).\n",
        "Usually, an FDTD simulation contains a large number of time steps and\n",
        "grid points. Recording the field at every time step and grid point will\n",
        "result in a large dataset. For the purpose of making time-domain\n",
        "animations, this is usually unnecessary. In this particular case, we\n",
        "will record one frame every 100 time steps, which is realized by setting\n",
        "`interval=100` in the\n",
        "[FieldTimeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldTimeMonitor.html).\n",
        "Similarly, we set `interval_space=(3,3,1)` such that the field is\n",
        "recorded every 3 grid points. To further reduce dataset size, we will\n",
        "only be recording the z-component of the magnetic field."
      ],
      "id": "164e2f52-08d1-4bdc-bdc4-7e0d9b4bbd43"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "run_time = 5e-13  # run time of the simulation\n",
        "\n",
        "# define a field time monitor to record time-domain animation frames\n",
        "time_monitor = td.FieldTimeMonitor(\n",
        "    center=(0, 0, t_wg / 2),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    fields=[\"Hz\"],\n",
        "    start=0,\n",
        "    stop=run_time,\n",
        "    interval=100,\n",
        "    interval_space=(3, 3, 1),\n",
        "    name=\"time_movie_monitor\",\n",
        ")"
      ],
      "id": "c1df47b5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To create a frequency-domain animation, we will include a\n",
        "[FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html)\n",
        "in the simulation to obtain the steady-state electromagnetic fields at\n",
        "the end of the simulation. Afterward, we will change the field phase\n",
        "using a convenience function to create the frequency-domain animation."
      ],
      "id": "61344363-7272-4959-84bd-5335c2279e65"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "frequency_monitor = td.FieldMonitor(\n",
        "    center=(0, 0, t_wg / 2),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=[freq0],\n",
        "    fields=[\"Hz\"],\n",
        "    name=\"frequency_monitor\",\n",
        ")"
      ],
      "id": "18984077"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now, we can define the simulation source and create the FDTD simulation\n",
        "object."
      ],
      "id": "c8ceb3ff-f409-44e7-bfbd-2b05cac4dd58"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define a mode source\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-lda0 / 2, 0, t_wg / 2),\n",
        "    size=(0, 1.2 * w_in, 6 * t_wg),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    direction=\"+\",\n",
        "    mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n",
        "    mode_index=0,\n",
        ")\n",
        "\n",
        "# define simulation domain size\n",
        "Lx = L_t + 2 * lda0\n",
        "Ly = w_in + 2 * lda0\n",
        "Lz = t_wg + 1.5 * lda0\n",
        "sim_size = (Lx, Ly, Lz)\n",
        "\n",
        "# define simulation\n",
        "sim = td.Simulation(\n",
        "    center=(L_t / 2, 0, t_wg),\n",
        "    size=sim_size,\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0),\n",
        "    structures=[linear_taper, sub],\n",
        "    sources=[mode_source],\n",
        "    monitors=[time_monitor, frequency_monitor],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),  # pml is used in all boundaries\n",
        "    symmetry=(0, -1, 0),\n",
        ")  # a pec symmetry plane at y=0 can be used to reduce the grid points of the simulation"
      ],
      "id": "ee83567a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize the simulation."
      ],
      "id": "b2a39226-bff2-4e92-802c-8c6f39284126"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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D8UjvNFqGWQAAULso7FAy+abBSoWn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\nf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          }
        }
      ],
      "source": [
        "sim.plot(z=t_wg / 2)\n",
        "plt.show()"
      ],
      "id": "9d3d9d93"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the simulation."
      ],
      "id": "4abc0759-a4da-489d-a7b0-ada3add7ba3a"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">01:02:38 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'taper'</span> with resource_id                              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-7295111a-7421-4262-8fb7-a06fa69175cd'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7295111a-7421-4262-8fb7-a06fa69175cd\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-7295111a-742</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7295111a-7421-4262-8fb7-a06fa69175cd\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">1-4262-8fb7-a06fa69175cd'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"e86ce4b94c72478abf7c37c5835de4ac\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">01:03:08 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">01:03:09 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"700126beb186405783581f31522a3033\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">01:03:10 UTC </span>Loading results from data/simulation_data.hdf5                     \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = web.run(simulation=sim, task_name=\"taper\", path=\"data/simulation_data.hdf5\")"
      ],
      "id": "4ee31dd0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Creating a Time-Domain Animation\n",
        "\n",
        "Before creating the time-domain animation, we can inspect the field\n",
        "distribution at a few time instances."
      ],
      "id": "f5fc8939-0bb1-413b-ae89-779b77270f6c"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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xCX7DsixPEt0j3PdUeSMO2XgnIhXr37hNS2RYhvOL+5ECtFR4U4f+svqIuje5mYZ5W43206KP5p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ZtsvK559/bt8/KSkp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\nSUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, 2, figsize=(10, 5), tight_layout=True)\n",
        "\n",
        "sim_data[\"time_movie_monitor\"].Hz.sel(t=1e-13, method=\"nearest\").plot(x=\"x\", y=\"y\", ax=ax[0])\n",
        "\n",
        "sim_data[\"time_movie_monitor\"].Hz.sel(t=2e-13, method=\"nearest\").plot(x=\"x\", y=\"y\", ax=ax[1])\n",
        "plt.show()"
      ],
      "id": "68c596e4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To create an animation, we need to define a function that plots each\n",
        "frame. Then we use `matplotlib`’s `FuncAnimation` to create the\n",
        "animation. For this particular animation, we use 50 frames. For detail\n",
        "on `FuncAnimation`, please reference the\n",
        "[documentation](https://matplotlib.org/stable/api/_as_gen/matplotlib.animation.FuncAnimation.html).\n",
        "\n",
        "After the animation is created, we can display it directly in the\n",
        "notebook environment by using `HTML`. Here we see the incident pulse\n",
        "from the wider waveguide is squeezed into the narrower waveguide through\n",
        "the taper. Some field is reflected back or leaked out of the waveguide,\n",
        "leading to some insertion loss, which can be minimized by using a longer\n",
        "taper."
      ],
      "id": "b9c2cd19-e23c-4b7b-8d8c-4c7c29428b9f"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "<link rel=\"stylesheet\"\n",
              "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
              "<script language=\"javascript\">\n",
              "  function isInternetExplorer() {\n",
              "    ua = navigator.userAgent;\n",
              "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
              "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
              "  }\n",
              "\n",
              "  /* Define the Animation class */\n",
              "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
              "    this.img_id = img_id;\n",
              "    this.slider_id = slider_id;\n",
              "    this.loop_select_id = loop_select_id;\n",
              "    this.interval = interval;\n",
              "    this.current_frame = 0;\n",
              "    this.direction = 0;\n",
              "    this.timer = null;\n",
              "    this.frames = new Array(frames.length);\n",
              "\n",
              "    for (var i=0; i<frames.length; i++)\n",
              "    {\n",
              "     this.frames[i] = new Image();\n",
              "     this.frames[i].src = frames[i];\n",
              "    }\n",
              "    var slider = document.getElementById(this.slider_id);\n",
              "    slider.max = this.frames.length - 1;\n",
              "    if (isInternetExplorer()) {\n",
              "        // switch from oninput to onchange because IE <= 11 does not conform\n",
              "        // with W3C specification. It ignores oninput and onchange behaves\n",
              "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
              "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
              "        slider.setAttribute('oninput', null);\n",
              "    }\n",
              "    this.set_frame(this.current_frame);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.get_loop_state = function(){\n",
              "    var button_group = document[this.loop_select_id].state;\n",
              "    for (var i = 0; i < button_group.length; i++) {\n",
              "        var button = button_group[i];\n",
              "        if (button.checked) {\n",
              "            return button.value;\n",
              "        }\n",
              "    }\n",
              "    return undefined;\n",
              "  }\n",
              "\n",
              "  Animation.prototype.set_frame = function(frame){\n",
              "    this.current_frame = frame;\n",
              "    document.getElementById(this.img_id).src =\n",
              "            this.frames[this.current_frame].src;\n",
              "    document.getElementById(this.slider_id).value = this.current_frame;\n",
              "  }\n",
              "\n",
              "  Animation.prototype.next_frame = function()\n",
              "  {\n",
              "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
              "  }\n",
              "\n",
              "  Animation.prototype.previous_frame = function()\n",
              "  {\n",
              "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
              "  }\n",
              "\n",
              "  Animation.prototype.first_frame = function()\n",
              "  {\n",
              "    this.set_frame(0);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.last_frame = function()\n",
              "  {\n",
              "    this.set_frame(this.frames.length - 1);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.slower = function()\n",
              "  {\n",
              "    this.interval /= 0.7;\n",
              "    if(this.direction > 0){this.play_animation();}\n",
              "    else if(this.direction < 0){this.reverse_animation();}\n",
              "  }\n",
              "\n",
              "  Animation.prototype.faster = function()\n",
              "  {\n",
              "    this.interval *= 0.7;\n",
              "    if(this.direction > 0){this.play_animation();}\n",
              "    else if(this.direction < 0){this.reverse_animation();}\n",
              "  }\n",
              "\n",
              "  Animation.prototype.anim_step_forward = function()\n",
              "  {\n",
              "    this.current_frame += 1;\n",
              "    if(this.current_frame < this.frames.length){\n",
              "      this.set_frame(this.current_frame);\n",
              "    }else{\n",
              "      var loop_state = this.get_loop_state();\n",
              "      if(loop_state == \"loop\"){\n",
              "        this.first_frame();\n",
              "      }else if(loop_state == \"reflect\"){\n",
              "        this.last_frame();\n",
              "        this.reverse_animation();\n",
              "      }else{\n",
              "        this.pause_animation();\n",
              "        this.last_frame();\n",
              "      }\n",
              "    }\n",
              "  }\n",
              "\n",
              "  Animation.prototype.anim_step_reverse = function()\n",
              "  {\n",
              "    this.current_frame -= 1;\n",
              "    if(this.current_frame >= 0){\n",
              "      this.set_frame(this.current_frame);\n",
              "    }else{\n",
              "      var loop_state = this.get_loop_state();\n",
              "      if(loop_state == \"loop\"){\n",
              "        this.last_frame();\n",
              "      }else if(loop_state == \"reflect\"){\n",
              "        this.first_frame();\n",
              "        this.play_animation();\n",
              "      }else{\n",
              "        this.pause_animation();\n",
              "        this.first_frame();\n",
              "      }\n",
              "    }\n",
              "  }\n",
              "\n",
              "  Animation.prototype.pause_animation = function()\n",
              "  {\n",
              "    this.direction = 0;\n",
              "    if (this.timer){\n",
              "      clearInterval(this.timer);\n",
              "      this.timer = null;\n",
              "    }\n",
              "  }\n",
              "\n",
              "  Animation.prototype.play_animation = function()\n",
              "  {\n",
              "    this.pause_animation();\n",
              "    this.direction = 1;\n",
              "    var t = this;\n",
              "    if (!this.timer) this.timer = setInterval(function() {\n",
              "        t.anim_step_forward();\n",
              "    }, this.interval);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.reverse_animation = function()\n",
              "  {\n",
              "    this.pause_animation();\n",
              "    this.direction = -1;\n",
              "    var t = this;\n",
              "    if (!this.timer) this.timer = setInterval(function() {\n",
              "        t.anim_step_reverse();\n",
              "    }, this.interval);\n",
              "  }\n",
              "</script>\n",
              "\n",
              "<style>\n",
              ".animation {\n",
              "    display: inline-block;\n",
              "    text-align: center;\n",
              "}\n",
              "input[type=range].anim-slider {\n",
              "    width: 374px;\n",
              "    margin-left: auto;\n",
              "    margin-right: auto;\n",
              "}\n",
              ".anim-buttons {\n",
              "    margin: 8px 0px;\n",
              "}\n",
              ".anim-buttons button {\n",
              "    padding: 0;\n",
              "    width: 36px;\n",
              "}\n",
              ".anim-state label {\n",
              "    margin-right: 8px;\n",
              "}\n",
              ".anim-state input {\n",
              "    margin: 0;\n",
              "    vertical-align: middle;\n",
              "}\n",
              "</style>\n",
              "\n",
              "<div class=\"animation\">\n",
              "  <img id=\"_anim_img7b1568188808457fb22a4c3e9576aa6f\">\n",
              "  <div class=\"anim-controls\">\n",
              "    <input id=\"_anim_slider7b1568188808457fb22a4c3e9576aa6f\" type=\"range\" class=\"anim-slider\"\n",
              "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
              "           oninput=\"anim7b1568188808457fb22a4c3e9576aa6f.set_frame(parseInt(this.value));\">\n",
              "    <div class=\"anim-buttons\">\n",
              "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.slower()\">\n",
              "          <i class=\"fa fa-minus\"></i></button>\n",
              "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.first_frame()\">\n",
              "        <i class=\"fa fa-fast-backward\"></i></button>\n",
              "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.previous_frame()\">\n",
              "          <i class=\"fa fa-step-backward\"></i></button>\n",
              "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.reverse_animation()\">\n",
              "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
              "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.pause_animation()\">\n",
              "          <i class=\"fa fa-pause\"></i></button>\n",
              "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.play_animation()\">\n",
              "          <i class=\"fa fa-play\"></i></button>\n",
              "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.next_frame()\">\n",
              "          <i class=\"fa fa-step-forward\"></i></button>\n",
              "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.last_frame()\">\n",
              "          <i class=\"fa fa-fast-forward\"></i></button>\n",
              "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim7b1568188808457fb22a4c3e9576aa6f.faster()\">\n",
              "          <i class=\"fa fa-plus\"></i></button>\n",
              "    </div>\n",
              "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select7b1568188808457fb22a4c3e9576aa6f\"\n",
              "          class=\"anim-state\">\n",
              "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_7b1568188808457fb22a4c3e9576aa6f\"\n",
              "             >\n",
              "      <label for=\"_anim_radio1_7b1568188808457fb22a4c3e9576aa6f\">Once</label>\n",
              "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_7b1568188808457fb22a4c3e9576aa6f\"\n",
              "             checked>\n",
              "      <label for=\"_anim_radio2_7b1568188808457fb22a4c3e9576aa6f\">Loop</label>\n",
              "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_7b1568188808457fb22a4c3e9576aa6f\"\n",
              "             >\n",
              "      <label for=\"_anim_radio3_7b1568188808457fb22a4c3e9576aa6f\">Reflect</label>\n",
              "    </form>\n",
              "  </div>\n",
              "</div>\n",
              "\n",
              "\n",
              "<script language=\"javascript\">\n",
              "  /* Instantiate the Animation class. */\n",
              "  /* The IDs given should match those used in the template above. */\n",
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              "    var loop_select_id = \"_anim_loop_select7b1568188808457fb22a4c3e9576aa6f\";\n",
              "    var frames = new Array(50);\n",
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              "\"\n",
              "\n",
              "\n",
              "    /* set a timeout to make sure all the above elements are created before\n",
              "       the object is initialized. */\n",
              "    setTimeout(function() {\n",
              "        anim7b1568188808457fb22a4c3e9576aa6f = new Animation(frames, img_id, slider_id, 200.0,\n",
              "                                 loop_select_id);\n",
              "    }, 0);\n",
              "  })()\n",
              "</script>"
            ]
          }
        }
      ],
      "source": [
        "t_end = sim_data[\"time_movie_monitor\"].Hz.coords[\"t\"][-1]  # end time of the animation\n",
        "frames = 50  # number of frames\n",
        "\n",
        "fig, ax = plt.subplots()\n",
        "\n",
        "\n",
        "def animate(i):\n",
        "    t = t_end * i / frames  # time at each frame\n",
        "    sim_data[\"time_movie_monitor\"].Hz.sel(t=t, method=\"nearest\").plot(\n",
        "        x=\"x\", y=\"y\", ax=ax, vmin=-0.1, vmax=0.1, add_colorbar=False, cmap=\"seismic\"\n",
        "    )\n",
        "\n",
        "\n",
        "# create animation\n",
        "ani = animation.FuncAnimation(fig, animate, frames=frames)\n",
        "plt.close()\n",
        "\n",
        "# display the animation\n",
        "HTML(ani.to_jshtml())"
      ],
      "id": "f6d81ec9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Creating a Frequency-Domain Animation\n",
        "\n",
        "Using the `phase` parameter, the\n",
        "[plot_field](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.SimulationData.html#tidy3d.SimulationData.plot_field)\n",
        "function allows us to apply a phase shift to frequency-domain monitors.\n",
        "Below, we will apply a $\\pi$ phase shift to the `Hz` taper field\n",
        "component."
      ],
      "id": "1a0b5eb2-9d11-4b2c-852b-ae47e43d4081"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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S2gYAAIJozJgxuvXWW6P+r169eurRo4fy8vK0ceNGrV27Vps2bXJU3vvvv6/v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\nLtbnn38uSapVq5a2bdvmKI5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PUhjmNUa1XMzc1h3/79uOPOO3H3Pffg4QMHsbi0hEajsdlZJIQQQgghhBBCSAr27duH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f/nZ4nocjR46kukjmTBnpTTjtdhsf+MAH8Id/+IcoFosAgHw+j+c+97m4/vrr8fSnPx3XXHMN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\nrSgWi4jjGN1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Ajj/++FasjoiIiIiIiIjI6rbbbsPll1/esOV96EMfOqwewtkbw1m7di0f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\nMc+qVXeJ8v33dk5O52rZfEo3mpb5a/uWyVzWS4bM16htCWXfbOd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Ue49bY9RZ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zdBKol0Oi2CNS4fwCEiIiIiIiIiaj8HSKbSSPkBUmkfQRjCi8uUVba0u0RERESHOz6EQw1X\nsCSenB2TOZzzeyZEOVGYNubpSgWynDZzZ8YTsgs7MXmTH+n8xwuUV7m3Z8ZXG3U275G5gU8aMnOH\n9wYyN7i/VOapDgblNgNA3xNTorzdkoN6IUaKMuf01LYpo87klp2inFz5qCj3HD1kzHN0v9yGXauy\nRp2iypNcrR4tyjO7HjfmKeVk+2zpZry0zDevc3NXVM5vAJjMyT4yOmv2mZ6U/NK/O5THLb50tTEP\nqvI1d7Gk2X+LUzNyFpUHPJY0c1t7KZn/Go7KF1ux5Cgvy/PPKZh54uMqB2nMk3nBowNnL316PZG5\nbqcoc6ijonLJW1I6OJ4arCfNnOTxUK7LTah5LL+qcRNym9wuM8e3nhbF5bptOaj1qnR+bABYO2Ce\n2/vbofKaA0BxhWxL1XJtjSfkyrMZuY2r+nxjntVq2qqsuX+XZmR/7Y7kcXSntxnzOCVZJyoVjDqa\nmw7gp5II0+m5B28yGcTj+rq+gIduqpX5y4A9x7RiXGd03mfXchulgku2OsY03RZbOi09j84bXEce\n4cgW+GpRVpVaOanrpYN3rjonq7ZNVOu25YWuqmtcox710uvSh8CWJ17Po/PG26bpXPKO7f5H74hW\nvi62Voq4qqUtdaSVM84lfY7azot6zrcm5OW29TvjkNRRR38c77/nDovY9mJIR0VEdBiqqnv3/Ix5\nL7FrUtaZLcnrdW+YNeZJhHLsEU+Z98Zx9QFWalDav91FOWacelKOv6e3yXgHAPQeMyLK3d3mmHG4\nV25T0CXHYMkuGfcBgNnR7fM3tg6FqRFj2tT4UlF+dJcZW1uvYjR9Q7J9wZrjjHn69oyqdReNOkff\nK+Nkj8/I4zhZNj/P9T1s6Jn3XHosX1axq9K0Gc9ITsh944VjRp1sSqYwXtmtYh6WfpdU7ZuYNWMe\npYrcTj2PnzRHFno/lCty3UXL4Cmv9qfjmctNpmQc0qnjnqqibi4LZXPdJXWvrneVZ7mfTqn90J02\n4yTJuNwGvV/Slm3U8ZasJf6SVAtyItmHoph5HYqpWFC40ox3aqGK4Q5NmudJpPad55vt9ftlLDNY\n2i/K6eHlxjzx5WtFudq/yqgzHZd9frIg90MhZ/bnYqV2n8mknn7LTdoPkAkDuPv1AXeBg5KK6li6\nbBs7a7YX7NQag9sWq5ejx9u2aXrVtnG8jmfUs6ecNqbCrecaUnshtjG5LOrVWNdrLMdWpwGRHEt7\njbiCvobY5qkV97PUqahrvy2O1qre4Np6pxGLkK2xzqNYz1FdrhHvmlvX/MtoGH1sbfGjSMdnzaNk\n9KGn+rg1ZrXYRIsgHRVTilMb8SEcIiIiagnPiyFMp+YeuPHT8BOeCNbA420JEREREREREVEnmHvL\njb/vwZt4Qv6ITP8AkoiIiIjm8NsuIiIiaopUMoHQTyP00wjSaST1L1Vsb6ghIiIiIiIiIqKWch0X\nKd+HHwRIpwM4yTRi6u3EtjdEExEREZGJD+EQERHRIXMdB8HeB278NALPMYI1USF/gLmJiIgw93Am\nH9AkIiIiImq6eDyOdBAg7QfwgwCOlxQpk3QaNCIiIinq/BhOp6fLosMaH8KhlpiekXlxixMyT7Vb\nNHM6pzLydZbdlry58aTswjH1SszyrJnHfCHKs7K9uckpo87WMbkNO6YLRp2VS3tFOdYncwwHSzLG\nPL3+HlHuypk5RCfLB/9BN6byo49Omu3teULmAe/e+pgo+0NmzuHBrMxLfLRlm0ZVfvmKypEc8+Qy\nACA/KXN6RxXz2MYSMjd7zJJfXMup/OKTBTMn8nRJ1gmDrCg7XWb/9UqyzzuWnNNeILepWlDbZMkz\n6qVkH7ctV4vKcrlO2fIgRFGuy1U3J1EdeXWdqnlMnLLKiV3PTZmXkG0JzD5UVWmLvLI6bpa0Rm4y\nLdsWdBt1kJLrilRbbL/3Sarj1J9OmJXkqY++QNYplc226D2lc6oDQK/Kf740I5fbkzL3QxryOLnF\nGaOOM71bTsjLa16Un0Ui7j31hpsUwnQKaT+7X7CmCidm7gcnmTKm1dSiG3nHltdX52zWuXpteZ/r\nyA2tpxk5gBuVE7hFuYWjDvolnG2Lq3W8HVvna9ebtMC09maearUgW554/TZva/5rnUtenye2Aaae\nZqtTbU7O95o9xJYYvI7lGudSPXnX6zmPm3VO1mDrZ7rPaO5+nZUvgiciokYp5MwxwlhOjiPyZfkJ\nX03K8TgAxDNyDJYIzLhOUt0QlcqNubecVl8eT4zNinJuh4x3AED3nu2i3DW4wagzqMZyPd1yjLOn\nq8eYJ+7L8V4pN2Fp8fwK0+PGtNy4nLZjT2jUeWxUxiuGu2R7V/YMG/Ok18nt7hufNupUVZzEe1S2\nZTRnxlZKVXlsfc+8e4kl5o89lGfN2FVF7RsvP2nUyaSzopxPy/vGYsUcq3rqPixMmTGPgupn+j7d\nt2yPXq5mOweKrpzmOmYdPSVWxyBGP2OhjxEAWCYJCct4JdDxWsv9flipzlvHFgPpSsr9GcTNOnFj\ncKfiW3HzWLs9g6KcNGoAXo8M7GSLqi/axlcqDhXr7jPX3S/PwWrXElEuxMz2Tqs+kiuZ656ZUtfs\nShWptI9Ueu5NN72Bj3ji6etZBUBc9RnbMail0sL4gO5W+vwDAFeNkozxtmUePcW2F/RstcZt9bAu\nolm7s5O+lFbxuLqaZhmjO0YsewHjeFtsUC9HxR2s61GxCFudquppkTrYtlibvh436ijq86Ke5cbq\niEDo5drm0DEvfU7WEyexZcVrVXxEH1vHqWfvPTVPi2JNRNQ+fAiHiIiI5uUA8NOpuQdufB++U0Ei\nrgLoDQg4EBERERERERHRoYl5MaT9p99yU/WScPd7wKCe30EQERER0cLxIRwiIiISPC/2VGopH2Hg\nw6/mRbAmmjV/GUtERHSoomoVUSPeyEREREREdARJJlPwg7kHbnw/QMGRP5zKlTo8XQgRES0+ETo+\nhtPp7aPDGx/CISIiOsIlk0mEgY8wCBD4afhQr1VWKQWJiIiIiIiIiKj1HNeF7/sIghC+76MaT8NT\nadkLBT50Q0RERNROfAiHiIjoCOK6LgLfh//UQzeZWMUI1iBfsM9MREREREREREQtE48nEATB3L8w\nROQl4eyXEny6yF/5ExEREXUaPoRDLTFdjkS5OJUT5erMlDFPskcmp+1Om901noyJciyeFOXy7PRB\ntbNehckRY9rk5KAo77K8OWKq5Ityb+8SUfaX9Bnz+P07Rblr3PxyfLJ88L9u0MOz3YWyUWdwmzwu\nk1tkWxLLHzXmCTMDoryq2zfqTCzLiHJBtX+z60CbTsnjX8yb7Y15cj7dP/YfoO5Vqcq+aXs964wa\nzOYSspzxe4x53LI8/jGjBuDEE6JcLeZlBcur8pyY3A9OMjXv360iy+C8Kveno9oP17YFqm1VSz+s\n9bo/x1yuk0rXXFcskapRIW5MMpabMPtmlAhkOSaPkdmDgLjqd10pM7F2OiGvTS5k++OWPp9Uy9Vl\nAIhHcp+7eXnOOlPTSCQ8BGkfYZCeSy0VS2DuVMgBRXkt3ity1DYk5X5xVBkAHFu/MhZcnb9s6UNR\nNVazTk2W/uu4bs06UPvB2C+x2vMYZQCwXItqzWOsWy3D+LtFFJnTqmqirlK1zNMI9SzWcloY7dHX\n9ciykQtKdV/jENnWbaO3Qc8Rs2yknhSzrMdVe9A4/yz7oa5zdCHq6HtNW0+t8802jz7361muEtmO\nvdrnun84tmOil2PrvzW6WXW/XlVPn+x41erCrvMt1aQLIxFRB7HFUsZzcow4rWIIUWiO4xJdctwQ\nD8xxWlJ9Nk8b0YrGGFHj+pmd5jZWRnaIspcbM+oMBnKbhnvkdm/LyDEkAEz6MgZSyk3M31gby+dj\nfny3KE+NmzGlR3bJ7VyVlePgniFzbNe9dJ0oZ44y90OlWBJlPb5K7DD3b3Fa9iE3bo6nEqqPuOpm\nKKqYn8NRXqVLnp006ri+HCtn4vKYlNO1P9/jnnmPmC/LfqXHI57l/izpye32YrXv4arq/kPHsgCg\nrBZTrePWUC9Gjw9t9P1pyqsdL0pZ9p2m95Vtuem4rmMu14iv6DGjJ+MzAIBAxvVcS8zD1fEBT57r\nUdy8BuppJdeM2eVKcp/PliIkU2kET6WWSiV9xBNz6yoAKJQBqH5nGwak4+685ToOtdHvbPPpPuNa\nOl49/Upz1UbFbEM7Peay7Ac9TY+vbeMtc7kHP/a3L3f+9Vipcbx1XF9HPKAh6okp6LG0bZ5adfSY\nvU5RrehPPbGLOuIDkT6PLcdR14ksMcequgCb1+N52nkIbP3OOI8bFFrQi7GtW+9x4zyxLNe8zNdu\nsC0mY1ZaQIxJ37fWFSN7ap7DIYYTLYIYTrPioUR14EM4REREhwnHAVKpFMIgmHvLjVtCIiGDmE6J\nb7khIiIiIiIiImo3NxZ76i03T6eWcvd7CKFoefCMiIiIiDofH8IhIiJapGKxGMKnXkcc+D4yTlEE\na9z8An5hSUREREREREREDZdKphCEcw/chGGIkivfqMPUUkRERESHBz6EQ0REtEjsDdYEvo8gDNGV\nlB/jruV16URERERERERE1Fqu6yDwA/iBjzAIkMj0wPNkHKfEh26IiIiIDkt8CIdaIleRA4ryrMwD\nHc3K3MwAkFTJHf2E2V29hMyn6dry+jZBYXLUmJabkiledk7kjTrTRZkfMRv0inJ6IGvM4w/IfN19\nT5i5rbfnZS7uhQzfJsvmXNOjs7K8XW5315NbjXn8oVWiPDiwwaizrkfmVtY5tG05T7er3MWFXMmo\no+eLq/6RSNTOU122rFy3b1aV/ZSZ99lJd8uyZV2xuPy1i5vPiXJUNrfRWI9ahpO0tCWm8tDaFqRz\nY6pcngvOUKpzm6ocuDqHtq2O/bzW/VXl542Z1wtjXV7KrBOX06ztU/S1KmnpZ3o36FznbtU81rFq\nEb7vI/B9hGGAMOHtF6yJgMoUMDP/2V5NZsyJiVCW68iL6lTLNeeJdJ7qStmoY/QrvRxL3lzH1X1z\nYbmhDTofs2XdRp5n3X/ryRVdR52F5rtul6iOPMrNyl1dSz15oBvFyEFdT5068s8bOeptV20j53uN\ncp11rPnlG6GunNgHv4xaudjrOv/qaJt1OU1gzS6u+og+/fbvQ43K295WUWUR5BNvdwOIiJqvXJg1\npuVVPGO6JMuRZXzlpmU8I542x2nJFt0Kj6j2z+zJGXXye2TMIzNrvlm0y+8S5aGs3G4/Y45fk119\nopwbfdJs4AI+/0qzMj6UmzKP245RuZ1PTMg6w93mcQuyy0U5vsqM2WV1H6nK+8i4bx7r/LiMm1Wr\n5r1nPCXTKXvpuFHHUJZjz6hgxuOc4owop5JyXBzWES9KxMybrVxJxTst22QuR3b6lCfLnmU9WtVy\nQ1IxwiQHf3NYz5gmribELIco4dWOQ+l1qd1irAcAkqqSrY4xTa3cdq0yptnGHirOVFZbUCwDXtxD\nEIQIwrn0UvFkat8YsAJgpgLLgZJ8Ff9Me+beq2fUVlGDcr0U25i9ogYbFT0YsSzHCPtZOlEj4gOu\nZayvJ+mxNGD2K13F1ufr2aZFFcWpJ+7XrFhAPVo03rauZyExPB130HEJAJGOH9rCOroczX/OWus0\naWzaqNCCPm9tH286Tmaco7ZzfwHrbtpAXsV0bafSAePfrer7zRRFnR/DqePejKhZ+BAOERFRB4g/\nFawJw2DuTTdxRww0nHJxnrmJiIiIiIiIiKgVHDhIp9P7Ukt5qQCJhPwhl+2HfkRERER0ZOBDOERE\nRK3mzAVrwjCA7wfoTseNYI1TMn/FSERERERERERErRVzY/tiOGEYIBFk4O73BoR8mQ/cEBEREdHT\n+BAOERFRk7mxGMIghB/4CIIQ2UwogjWxSmGeuYmIiI4MUaWCqNLhrzImIiIiosNeKpXc98BNGARI\nBjLdd2lxJSQiIiJqvCjq/BgO01FRG/EhHGqJskpQWZqV+ZqrlnzjcZUk0o+b+ZkTSTktlkovtIkH\npZSfNqblZ0qivGfa/FJ9TG33smy3KMd6Bo15/H6ZpzpryaHenZP7Yax08B98ubL5YTRWlNN6dsvj\nNLN9jzFPYunjouz5vUadgUBOW1WSx61kyY+sc2LvmTL3r85Rr+fptuQST8VrD5qLat+UKrI/z1p+\n7RKo/OKuJSGozmnqJuV+iEp1PJihcsw6nrmNkSunRbaE3Y7qVzq/rSX/aj0c1T5zubU/hur6LZHO\nv2rZxigm3zQTeQmzjgqi2PKsazq/tAsHyVQKQRAgCAKEYQg/lRR1nGpZ5ku15RuPq/5gyVtuziT7\nmTWnc1Veh2zJap2KrKNzGdtyvTpqufXkfI8iud16GVZ6hwO181vXkWPXlsPZmM/VeaDryRVdR2Cu\nnnkWsFzjvG3SD/MW2xu2bfnca6kv37Rlvhr5r+vJa28bLBrnirrPsp77elqDBqE6Z3qjcofXWs/c\nynSy8BrnrKVOXcttEt1nKpZzSbeuOk/TWtRsIiI6AlTLJWNaWY2382qcHHlyzAMATioQ5URojsHS\ntvv7Jpguy/YXxvNGnfzolCiHkyNGnTC7SpT7fblN3V3mftgTythPwu8y6hSnx4xptZRVLK1kWcbs\nlIxNbBnNifKKbjOO1pXwRbmve6lRx1s+KedRY0jHM8dXiYycpzxrplx2VewvnpFtiSUt8QzFFktx\n1TS3OCPK6YTcTwBQjXQ8w1xXypN1ipZ4ltEWtaC4J8ueZT2eq8cVtnGEvjeu2RRDzDKocSK9bn3T\nurCbUD0W8tSlIG5pi57mwDJWimrERGNm33RcD74/l1oqDAL4mS54qg/r1FK6dSnLgatGtfdNpMZy\nenxdsSxDz2MbR+g+UtHzWAfyesBq1on0JDVAqRr9w2yLsQxbS+roVnq5tjG5Pt90HduYvJ5PJX2+\n6aUY56OljvH3enZMg1hjBp2sntjaAuYx4gG2eVRMtJ559KHU5x9gnuu1ygAsV7yDZzu39HnSKMbH\nku180+dkjb9b52lVLMTWP/S5ZIlDHeh0W+j3LUS0ePAhHCIiokPgOi7Svo8wDBAEITJhaARrmvb0\nAxERERERERER1S0ej8/9aCoIEQQ+0kEovhw2fohERERERHSQ+BAOERHRQYh78ad/HRUE8H1fBGts\nv6IhIiKiOlSri+BVwXywloiIiGgx8dM+gjBA4PsIwxCJhHpTMuM4REREC9PpMZzF9uYvOqzwIRwi\nIqJ5pNNzQRr/AMEaIiIiIiIiIiJqv1gstu9HU+FTacJdW5paIiIiIqIm4kM4RERET3FjMQRPBWnC\nMETa9xmsISIiIiIiIiLqQMlEAmEY7ovl+Klku5tERERERMSHcKg1Kuqt7dWSfAVYVMgb87jloij7\ncfOL8FRSduF4KlxgCw9StWJMKuVzojw6UzTqjOfLch5PtjfZ3W/Mk+rrFuV0X9qo0zsl1zVWMttX\ni+2lbLmKnJqfkMdpds+4MU/XyA5R9gZ3m3UGs6K8JJBvFsmXa78izo+b+ZlzarurVdnxkp45j5+Q\n0zzXfAVtVaUdKKv+XKyY7U14qm8mAqOO7tGRJ/eDEzePtfH6PEcupWp7ha7OZe3Ga9Yx8l/bluvU\nfjhlQQkb1HIj1N4m3d7I0rZqFKkykEgkRWqpdFruc8eR27DQFxRX1ZxOzHIMFEe1t55XJzqqTmS5\nVun961TLRhV93JyKquNYjqze5655i1FruZFlHr3dehut666D0Udsy4jV6FeWecw6Zq+x9c9DtsBl\n6mNSbVKWlUYt1nKJbohai7Wt11HH1lrHWI66FtjmUeettc/Xuj4061Wrtn6mrzuWOtZtqDGPsa46\nPofqOq8bUEfvfqAxfVz3qbl1ySXPd6YfFo+MVivW+2wiImqtKDKvxXp8XSjLOiXLh2EyJcfBnm++\nVTT0WvMJpu9GZvLmOKg4MS3nmRo16iQh5+tNybHdYCZlzLM9lHUSXb3muqfHjGk1qc/McmHWqJLP\nlUR5l4rr7MoVjHmWFeRDDJmurFEn2bdclONFudyM2Vp4aXn8y7Nm3CxSKQ1iCbnvvLTlAQsVf7Gl\nRXCqcj84Jbndcc88bmm9XJgxpZIr15VUY0gdTwIAV8cH1C2gbVzhqUoxSyU9yamxHqu6xlvOPCV7\nW2y/bYoZy5H7yrFch9wI8P303AM3foAwDODp41QjblYPPSYDAK/GcmwprWzjBk2PwXUM3bUspBKp\nddUxkDeGkNYOYURtzHWrOjE9dNJts6x7IcE1a7hTTYtZKulJuoZ1mFnHuL0RjOXWM6isJz7QKI2I\nKzQj/lXncuuLD+gOUk+cT8XiLR3aFoM2lqvqNCvpsd4i21HVu6GeLmV8dlnr1BE304dAn391LNde\nR03Q9waNipvp/mFb7oF+4Hs4/PA3ijo/htPp6bLosMaHcIiI6IjgwJl7HXEYwPcDpIPQDNYQERER\nEREREVHbxeNx8cCNn0paH1wnIiIiIuo0/PaRiIgOS/F4HGEYwvd9hGGIZCotgjX610VERERERERE\nRNQevu/P/XgqCJDxU0gk1NuzOv3X9kRERERET+FDOEREdFjw0+l9wZqgq9sI1lSalWeHiIiIGiKq\nVuypFImIiIjosOLGYnNvuQkChGGI0E8jtl86L1vqbCIiIuocURR1fAwnalTqMaIF4EM41BaVsrrw\nlUtGHZ2v2ffM3MuZlOzCXio89MYtUKUo80nnZs1tmizKAeSsSpqeyph5wdP93aLs9/tGnb7tMm/5\naFHuq7FS7Q9CWwZK/cxCOSfbX5w2c4cXxqdE2Rvbba4rHBDl7lSfKC/NmDm+dS7VhKU/TOXlPi+p\nfha35JpPJ+RykpbkpJ7Kz6nzopYtiVLVoUYsbuYX15yKzHVu/YVPrZsGW+5aV+0rXbbMFzmWOsY8\nRtLW2vMoRl7duQWpOpZc564M1qTSMlgD1H7oJraANxi7DXrtcV3pmo38tnXkiTVyn1uzs6s6tpzI\nuj/IsuOY/dCoY2ufXpfOfWvN0Tp/W+YmHvx5YSYvPvi8z/XsO2sdva4a+3uujj4v6sh/rfqZvo7W\nQ+eonlvOQS+mreo5a215qcUybNehGrnl5+rMn0vesVznHd2frTnf5bSFzNNKNftro3Kz1zi36mpL\nh9F9z3ZOEhERtUJVja/L6tWiOswDAKlUIMrxMG3UCS3j9FYoWNpbnMqLcnVmwqjjFWT8pVvFoZZ0\nm/EMP5TxgFSm31x3OCrL02NmAzU1trd9CVJW8aBZFTcZmSoa8+zpktOySTM+EA/lNsQG5L6LKuYO\nDuLyhzLl6RmjTrUs2+uq2E8spd6MAsDxkqocN+qYgyO5H5yybD8AJBIqxuhZ4kVV2X/1WKmesZMe\nV9jGJsa4wrKcWK1bbstMC4lwuHou23KNe9YIyUQCYRjui+X4KX2uRECtB29s8awaGnb/X2M8ZY3Z\n1BNDUrtKH/+qZQfr/WsbrzqYv47+O2Ae28hSJ4pknaoj61j3tt6mBZwXtl2p22utY5xfcoKtvcY8\n9dRZwHlssPQxY6xfj1rxgk5XT7yrnvPaiM/ZLlb1xOPUdV71O1uszbgC1hFb0+V2jv3ruXTpPVVX\n3Mx6Hs8/T614XcdZSNyaiA5bfAiHiIg6XjKZFMGaVEoGbxfycAERERERERERETWW4zhzD9o8lR48\nDHx4nvoagl9KEhEREdFhjA/hEBFRR9HBmiCTMYI1fOaGiIjoMFStHuCtaB2E9yBEREREQjweF28r\nDtJp+VYEPnBDRER0GIoWQQyHQRxqHz6EQ0REbRX34ggCf1+wxg9CEayxpaMiIiIiIiIiIqLWS6XT\nCMMAQRAiDAMkkyolGL/wIiIiIqIjHB/CoZaI1foOvWLm/HXKMgd1yguMOmFK5nlOpmU5lvDNVRVz\nNRqzMFFF5pOulMwBZ64ot3NWJU3PJlW+aQBeT68oB4MZo04mOynKAyW53Ipl7Dur8nMnLQcpXiPp\nZiVv5hsvTasc6tOWHOr5KVFOp7tFORM3c2cOhXJA71naFqhc8gWVTNXWDz31gEeQNC+LCXf+HMO2\n0EJFTS2ZuwrxuMwL78b0214sS64VyLDmt1U5nS25SY1pejUNfA4mnU4jDAIET6WX0sEa2+o1vZmx\nJj2os9jiRvo4Nizvs6v7hy1Hsk5ebFl3jVzL1pTO9TxN7xx8Xni9TfXkfYarzlHrPLXPNzMvdY1y\nHawPq7Wx/7Zr1fVcCerJJ61zWdvm0ZNs+d31JB2Mtp6jeprlQmTM185fli6gv5rLWGBudn1tWsi5\nZFm3XpdxfjWpg9v6mc4Lb8uzvu9vjfywJiKiI5pTx/11Wd2jlPWHFgBHpRGO+ymjTjKTEGV/XMYU\ncpXm3OeULO0tF+TAvTpriR8VZ0TRT3WJcn8gtwcAslk55p0cNWNVxe4BUY7UOKhcMNsSS8jlul7c\nqKNVynK7p/JmPE5PmymZxyBMymOZTPeIsjdgLrei3nDrpMx4UVQuyAmqLzoxM2bjBipO5pnHwAzk\nqONfNYM2jmpLwjNjFzF1A6d7VT0xBWPMYKnjqqmO9Ya0OYGcWCy27y03e//FYuoaUTNWVUccqlEW\n2Vt39Diy0qBAlN67UY1TAAD0WWDrQbq/umrBVR0bsqj5PYGFPgesbbEsV8cLjfOtnnG8rY4xz8Fv\nVEc9rNbhMYW6rhdGPEAfyDquQ9Y6qo+r+wfbUdS3GJZbjrbFzRp15a0rbqbP0TqWs5C4njUe16rz\ny/hOpXY8vOZ0Ijps8CEcIiJqmrqCNUREREQAomoFkeVLsM7SQcFyIiIiogZLJpNzbyl+KkV4KpVa\n0AMGREREdJiLoo6P4egH24laiQ/hEBFRwzBYQ0RERERERETU+RzHQRAE+2I4QRAgHq/9RiUiIiIi\nIpofH8IhIqIFYbCGiIiIiIiIiGhx8DxvX/xm7z/+cIqIiIiIqPH4EA4REdWFwRoiIiJqqmoV6PBX\nGRMREREtFul0GkEYInjqx1PJZLLdTSIiIqLDRRR1fgwnYjoqah8+hEMtkXRdUVZFe97ASlkuwzO/\n7O9Oy7dupHxZTnb1GvPk9uTma+qCOU5MlCuWXIOFspxWrESiHCV9Y55Yd58op/q6jTrBknFRXjJV\nlG2J5HoAYLYi96cLc/+GnjxQni8vGU7MnEfnWIzKBaMOCtNy3aocprPGLGVjGxJGnZQnj0FR7e8q\nzP3gqc6YcM1t8hNyuborWh9DUasqWz/rZSXXleuxPd+it8ByaGuzzWNZUCr1dLAmkzGDNdVIzuda\nGlzrGR1nQRvQPJFqcMc/Y6RuIp123lSqnRU5rlnFmCDrWHtDTNZZyDba2mKw1XHlNc9YjjpnrcvR\nH3iWOgtqXx3zVNX5Zdu/VTUxWsA52c6zuJ5T1HJZN5ej+q+ex7YIfc2zXS+Ma1w9/Xch8xjLsMzT\niBzI1g+mOnpAzQ8Dsz+b51vtc6muc6uec6nG+aXPLSIiosNNLGH5ol7dIOk4Q1nfWAJAPC2KiS4z\n5pHqToly744ZUc5VmjPGsd0jVksyNlUtlMz5SjLGkQrlfUNP2nw77GBGbuNIl7l/i/lBue5ItsXL\nzxrzOOr+yEuFRh0vruIM6s7Wdl9TUMdy1hLQmC3JOvG0ilVVzX2nR09OMm3UidT+1fewjmd5+64n\n40Nu2uxnkavm0/fytvs7vQ1ls4qnx4T6vte23CbdS8ZiMQS+Dz/wEQYBgjBELLZf+xwXqMqNMO6X\n6xhn6rhJO1mPWz3j6zaxdrM2jS1sP6pzdJzSMhKOVB19dYjZ5lnAJtbTzfR1PFZHXFLXsX0W6B5k\nrVNriGubpieq/WKNd+lp1mtKg2IGrVLjHF1wDE/v4AXEB2zXt1r913b7s6DYWjT/ubVQ+lyvp231\n/OjWiJvVcS7ZlquXYy7Xdq2qve66zi8ioibjQzhERAQ3FkPgB/ADH0Ew97ab/YM19XyJTURERERE\nREREzZdMJuD7AcIwQBgESKVS8svKDnpYhoiIiIjoSMOHcIiIjkCJRBJ+EOz7dZQRrCEiIiJqtWq1\nMW9tIiIiIjqMOI4D308jCAKEQYgg8BGPW94KRERERNQyUefHcDq9fXRY40M4RESHO8eBn/YRhMG+\nt9wwWENERERERERE1Hk8L4YgCBGGwVyKKd+Ha0vPSkREREREHYkP4VBLJFUuG5232pqLMpJ5iuOe\n+ZaOLl8+SJBMyzzQya4+Y57c6JNyQrVi1KnFjZv5u/U015K/p6TyaBfLKtdnaObD9rp6RDk92GPU\nCYdG5Hqmi6K8fFfOmCdXlPvXtbwFJZ2Uua11rvZEYD7I4cZ1lm9TVFaJtCuyvfHIPCa+V3u5cSNH\nvfy7Lc+y3u6Y5WUwnlpuTMU9PNsbZHQacJ2IFEC5qio16KHc2FPBmiAM5l5NHMhgTcwxzzn9Fhwj\n/6plPXrf1fMiHWu+7g5Sq33Nyn1e136x5K6tmc+2UbmiF8KWa1mvewG52q05nBeyXF3HMo+xrnrm\niXk169Rcji0Hda2c2U06tWy5rdup1hlYT+q8enJQ6xq2z0gj3Xgd55txztZxPtaXF76d+dwXcF2s\nJze7/pJhQedS7Tzx9eSbX8j5VVeedT2PpY7um512ThIR0eEpZot5qA+lqvpQqlg++yJPxgzioW/U\nSWXluvpUHGJ7vmTMs5A7Hx2XSlkG/zpWVS2bsYmoXJh3OdmUGSdZmpWxlG2qDADFgoyTOO4yUS7l\nZ832OnJfeUnzuKVU3CyekvPEdYDDomz5BXFJBVzKcTkOiidDYx69FMcz94NbVcdbx+xcMzYUuXIb\njTGZbZqex3ZPq+Mmum0AYJu2AOlUau6HU76PMMwgqY5l5EDe89dxn1vXPXc998Id/NbketrWrDhU\nPevWq7bFJTV9v1/PuKJRdG+wRczNsXIdC65jTFNrOQuNS+pt0uuxxYF1zMC27lpxVFsMwdCkcXzN\nWGEr1XWNWUgMz3bgalzzrHE/FR+w9E193tZzRhrncR11WmWhb8I34ma6z9exLtt5rifVM0/Tzq9a\n8yw0Jt1J5yQRtRQfwiEiWuRS6RSCIIQf+AiC0AjW1DUgJiIiImqzqFpBVDn4B+RbqsMfKCYiIqLO\n5roufN9HuDdFeOAjFtvv4aIF/FiFiIiIqNWiatT5MRymo6I24kM4RESLiOs68IOn00r5QSCDNURE\nRERERERE1BESiQSCYO4txYHvI51OL/hNBEREREREtDjwIRwiog4WT8RFaikGa4iIiIiIiIiIOo/j\nOEin0/vecBMGAeJxM0UZEREREREd3vgQDhFRh3AcIO3PpZTyfR9BGDJYQ0REREeOamXuHxEREdEi\n4HkegiBA8FR6Kd9Pw3WZToqIiIiOBFHnx3AipqOi9uFDONRwfswcbIaefHNHLCXT51jf7KEu3nHX\nrJNNyS4chPKBhXRX1pgnn10iyrOj281115AIzeXG074ox7zabyspqm0sw3zgwktl5Hp6+4064fJx\nUa4Wy7ItKTNdkT9bNqYZ607L/ev3pkU51d9tzJPIBKLseEmjjqMCEpHaD06lZMyT9vTlytymuBuJ\ncjWSZVWcW5c6TK6lL+r4SQyNeRNNzIvNPXATzD14k06bwZpINVqfK/q0sLXMqGPbxjqW01EWcvPU\ngLzqjq0TNctCtrFF80SWfenUsRw9n9HPbMeonvbVOrZ1HHvbNhnzufK6U9c8ljrGfPqcrGO5kZ7H\n0jX1pKqtzgL6dAvPgoZo59vDjPPCKNsOSgcNDhtw3bQxzoF6vqio67xY4HKUes4vzXZ+NYPldriu\nvxEREc0nlpDxDC8dmnVUjMNVHzzWz8KYjAfEMmYMIdUj4ww9YUKUhwpm7GJ7vnY8Q8vG5b184Jkx\nBVvsRIuKBVF2qzJ+EcTNe43BQG7Tyr7AqFMsy3vAmGpvuSiXYeMlzDBvOpBxpoEueUy60+Y8SVfH\nHcybjIq6QSqp719iCXMbjT0TM7cpqup7YV223MvpOIprOY62aQuQTqXgP/WGmzAIkExYfji1//38\nAsaM9Y0zLTd+Tbp3b4SFhFIaNYwz7u2bZKHhooXMtpB5jN1Qx0Jsu86tETHUsVibWB2HxHbd0YyY\nrm1d6npmhF/qiJHaxlm14qjWU7TWvrHFAvQ8rYoVtlMbr2W2/lsrtraQuFozNSsuUM/5pi3kewtj\nvXWsZ0Hx+lYetwP16Q7+3CaixuBDOERELZJKp+D7AYIwQBCESCZl8KvTbtqJiIiIiIiIiI5EruvC\n959+4CYIfMRi6mGexfblNhERERERtQQfwiEiagLXdeAHcw/bBEEAPwjMYA0RERERPY3pqIiIiKhN\nEokEgiBAGPgIfB/pdLqtb9UkIiIi6mjRIkhHZbxlkah1+BAOEVEDxBNxI7UUgzVERERERERERJ3F\ncRyk02kEvo8wnHvTTTxuSS1FRERERES0AHwIhxomDgdxx0Fv3HzbR5CSXS2uyo4lN7OjnqD0LAlj\ng7hczmB3SpTHsrIMAMXZFWrdZu7FSnFWlF1Ppg1KZQeMeVKBrJNOmYP3pGXf7E/n0AaApMqjHcv2\nG3X8oTFRjioyrVE8mDDmKc8WjGmal5bblOiWeeHT/WY+90R/ryi7XT1GHScpc74b+bqrZn53N5LT\n0p55+dLZxKOoeUlQ/bQP/6lXEvuWYI2RH7bO5R50U1TZlkeVDwM9pZ7XRDcrF+sCXlHt1DOPrlNH\nrui6lrsQxr6zrUfluq9nsQttz/7rsR1XPc2asFu1V89j+fwwl3vwdaztVfShrifvej30taud6jn2\nC8l1bb1OGnXmzxsPWHJO81X0AOrrv9ZzR6vnPKh1vlkOXM15LPT51UGnCRER0SFxYnE4sTiSXXIc\nH0/5Rl1PxV9i6nO2YrkfjTw5Tnb90KiT7s+KcrhUxi+GcyVjHlfdvc1abmKT6iN+ICnbn+4140WJ\nUMZA3ETthzKcSlGUU5653B5fRiuW95h1Kmobdqm4Wa5Q+1fGftKMOfUEct1LMnIbB7vMtnSreFbK\nM5cbU8dAH4KK7W5exbccy74yBjoN4nkxBE+lBw+DAH46BXe/e1LrOLlZMYRa479mxSUWmXq6QrPC\nXQvphvWMyW01jPihWk6zxui2cXFVnbeuZZuqNfa5vj4vlD62trNCxzvtMdH5l1NPfMAWV60VQ7BS\n15RGxeeaFudbiIWM4+tartq/lmXUupZGtvgAB/cA6ruW1jpq9Xz/UM/3FrqO7dwyJlmOo3FedNJ5\nQkRHDD6EQ0RUQ8zz9gVrgiCE7/siWKMHyERERER08KJqFVGHvyp4sd/1/eIXv8A111yDO++8E6Oj\noxgcHMSznvUsvOlNb8LGjRvbvp7bb78dF198cV3ruPnmm/GMZzyjUU0mIqLDSCqVfCq1VIgg8JFK\nqQd++GUcERER0aGJos6P4Szye75SqYSvfOUr+M///E889thjqFarWL16NV760pfita99rXmP24b1\nvPWtb8U3v/nNmus47rjj8L3vfa8h7V0s+BAOEZGSTKYQhOG+t9w06oOMiIiIiKhdPvjBD+ITn/gE\nqvsFyR599FH87Gc/wxVXXIHPfvazePOb39zW9RQKBWzbtq2u9RQKtd/sSUREhz/XdRH4/twPp3wf\nYRgiFpv/TdRERERERJ3siSeewEte8hL8+te/FtMfeOAB3HLLLfj85z+Pm266CevWrWvrekZGRuqK\n4/T3m1leDnd8CIeIjmiO+/+zd99xbhT3/8ff0nVJ594LNsbGBhsIzTRjijFgY9M7DjhAHAIklEAg\nMYEAoYdACD96rwnlSzM1JkDAGBtTXegG3MC995Pm98dxymm1d9pb7Uor6fV8PO7h82l3ZiTtzO5+\nNJpPOLnKTSQSVTQaVblNqisAAACgUN1www265pprJEkHHHCALr74YvXq1UuzZs3Sn//8Z3300Uc6\n88wz1alTJx155JGBqOfFF1/U9ttv3+TjnTp1ct1OAEDhqqysUPSnFW5i0ahqampIww0AAICisW7d\nOo0cOVIzZsxQZWWlLrnkEh1++OEKh8N64YUXdPnll2vWrFkaMWKEpk2bplatWuW9nu23314vvvhi\nk49XVlY2+Vix4pNmeKZjVbmqQ2G1t8lBXdUmdSWR8prUHNQqszkULSl+KmxuqFtZcmRbc1vPb52+\ngkndptQc5GUVvW222ZDy/1BZaj7smmh6udHWqXW3s+QSl6SoJQd5ediSm9RmfXtTkVpOWW2btG3K\nO3RN+X+t5fWsapOedz1RV5dembXc6tS6y2Op+bvDtW3T9glbcsmHbdqbsOQBV5ll8A1nPh7CSm+/\nNTepXY7ZyooKxWL1KaVisZiqo7GUYI3de2DNbe8mH7NdOMhajJuQkV0uVT/2ccLutbN2W2v+3ZDb\nVF7W99arZQXztDyho/zNBb50oiSbpL0OckW7qsdBfmk3+aTD1v/bjFXWnNO226TWnSlvdf02qfsk\nLAORm9zydtuk1dv8w4FjF3z3a8xzlM89LQe19U1J38dR3mqfxgNXudmdsPYdK7t6HfSL9G0y92sr\n8sIHTCJe/xNkBXiAzJ8/X5dddpkkafjw4Xr55ZeTKwT07dtXw4YN0y677KLPP/9cv/3tbzVixAjV\n1NTkvZ5OnTqpR48eLW4HAOdq2nRSqLxKVa3ap/y9OlqRtm3EEuspT7vZs6mgPDWmEI61SW9Dh9Yp\n/6/tkhq/qFuffu9ftXBdyv/X16WfOyosF4ERS3wo2skSl5BUbYmdlEfSx6iQ5Us71iXuK8vSry3a\nWGJXXWLpMaWKstTrlnaW92BzPPP5x/oeSVJtdWo51ra0qU5/r1tbtqkuT39OFZbnab3mtmtt3Br1\nsLlXClu3CYUUiUQUjUYUjcZUG42kB/BNIqW+UMIm3uXm/O0k7uDi+tnVNbdfk4ysz8mmbda4jd31\ncyZ2u3hxSZXPy7KEg8oL76oxle39dYbnnXB5qGbqFU7u9e2OM2u5ZZad7Jpr3cYuphC2xjetbbF5\nnTLe69t+MOAg7pBhn8DLdF/vEbuX19qP3cTW7OJq1j+5+SzBCb9ODU7OUtY+addPrH9y1I+d1O0g\ntoZcMcGP4QQ8XVZTbr75Zs2YMUOS9PDDD+vYY49NPjZw4EBtt912GjVqlL766itdd911uuqqq/Je\nT0VFBTEcC58i7QCQfyGFFI1E1LFjR23Zu7cGDRyoQYMGqXfv3urUqZMikQjflgIAAEBRu/3227V+\n/XpJ0t/+9re0FB3RaDS5es38+fP1r3/9K9D1AACKV1l5uVq1bq2u3bqpb79+2mGHHdS/f3/16NFT\nbdu2Lclv0AIAAKB0JBIJ/f3vf5ck7bXXXikTYxoccsghOuiggyRJt956qzZt2hTYekoZk3AAFI3y\n8nK1btVK3bp1U7++fbXDDturf//+6tmjB8EaAAAAlKRnnnlGUv3SwIMGDbLdZtSoUaqtrU3ZPqj1\nAACKR3VVtdq376CePbfQNttsq+23315bbbWVunTpotraWoUzragIAAAAFJFJkyZp0aJFkqSTTjqp\nye1OPPFESdKqVav0+uuvB7aeUkY6KgAFq7qqWtFYVNFIVLFYVNXVqUs6+5ZWAwAAAN4rhHRUBWb1\n6tWaNWuWpPpvNjWlvLxcu+22myZOnKgpU6YEth4AQOEKh8KKRKPJ1FLRaFTl5YSmAQAACpIpgHRU\nBZiu7L333kv+3lx8pfFjU6ZM0YgRIwJZTynjTgdAQQiHQ4pGoopEI4pFo4rGagnWAAAAAM347LPP\nkr/37du32W232morTZw4UQsXLtSyZcvUrl27vNZzxRVXaMGCBVq2bJlisZj69u2rAw44QCeffLJi\nsZjjtgEA8qOyolKRaPSnGE5MkZoaUoIDAAAAzXAaX+ndu7fKysoUj8dT9slXPfPmzdPhhx+uL7/8\nUps2bVKHDh2088476+ijj9Z+++3X4vYVAz7Bhme6VJcpEi5TNJae8ifSLnWFkoraSOoGlVUZy68o\nS/9brDL1jx1jqeV0b1eTtk8injrzsbIqvRvE61L3C5WlrqhSVZ2+T4e2qc+xe5vqtG1aWeqqtJRr\nZNL2MWWpr2eiujZtm7L2XVLbW5Xa/up2Nnn6TOoM1VB5RdomocrU5xCKtkrdwKYtpiK17niZzTAT\ntryZ4dRtTKhMlZUVivy0wk0sGlWNNVgTCqXPYs2w8o2x1qv6ybqNJax/8JGb0FPYg3hVwuYpelGu\nG8YmABdy8x5Y3/uAzXAOuWmPk32sr1Uen7d15SnbQyqtzzo58BysaJWpHJuxwdFKWdbxy7qPk3Lt\n2pZprLLZJ1dDU+5GQHe8GKvsighbXnPrW+BqXAoa61L+CY/GCycpAjL1N7vHLX9z1Ged7ONilTzr\nu293Hs2XUBO/w3+rV6/W8uXLm3y8bdu2OWxN0xYuXJj8vUuXLs1sKXXt2jX5+6JFi1o0CcePel54\n4YWU/0+fPl3PPPOMLr30Ut1333069NBDHbcPgL2atl0VrqxRVTT13r86mh7XaV2TGjOoKM98TjVl\nqfuURdIn0FW2bZPy/0iX9in/j9elX7NUWtpXuzH9G7jhitQzY1Vtarwo2qV12j7WukOx9G1CFZb4\nleU6scLmgjVSkfpadbKJm1VbXs+Oludod+lWXpZal7UMSYpVpN7TRCst8a2y9PaWWf5WZnOVYX2a\nZWUh1VTXKBqLKRaNKhKNpqcED6VeVzm7G8x8z+vqftsNN9eRXq3QbL0fyeNkJuu9kd39q6NyLLsF\n6ZbLTWzQyR529xEmT0/c7m2zHq127c00kS7s4Pk4mYxnHWOcHGZlNhullZPhcSf72EmLGeQyPhew\nGGhjno2BLu7108amAI0xTti9cl68007eEVd91ME2tnWl7dN8fE6Ss/fS2i+CdJJpOFbJ4pBTiUSi\n2RiOFLw4Tm1trSKRSJPblZWVqWPHjvrxxx9TYjL5qmfhwoV67rnnkv//5ptvNGXKFN1222064IAD\n9PDDD2eMFxUbJuEAyLuQpOqaGsWi9ZNuIrFW6cEaAAAAICBGjRrV7OP5+kDFas2aNcnfmwuqSFJN\nzf8m0zfeL9f17Ljjjjr66KO1ww47aIsttlBNTY2++eYbPf3007rvvvu0dOlSHXnkkXrmmWc0evTo\nFrUTAOCNsrJwfUqpWFSRSFStamMKO5mcDQAAAOTYV199lfGLRkGL42SKrUj/i6+0NIbjZT3V1dU6\n7rjjdOCBB2qrrbZSjx49tG7dOk2bNk233nqrPvzwQ02cOFHDhw/XpEmT1KpVq7QyihWTcADkXFlZ\nmaINSxJHIorWtkoJ1pgwQxMAAECpMQkj49UqTZBU/22vBhm/udzoejzRwvfBq3r23ntvffjhh2n7\n9O3bVwcddJBOPPFEjRw5UuvXr9e4ceP0zTffOAoYAQCyU1VdpUgkqmgsWj/5piZ19aRwvpbXBQAA\nQH6Y4MdwgjKxpiUa4iSOVqX6Kb7S0hiOl/Xce++9KitLz0Ky3Xbb6eSTT9YZZ5yhe+65RzNmzNBf\n/vIXXX/99S1ua6Hik24AvquuqlIkEqlf6SYaUXXUsgQ135YCAABAAZkwYYL23HNPz8p7/fXXdcop\np2RVxoknnpgWzIjF/nfdvWHDhmb3X79+ve1+TnhVj13gprF9991X48eP1yWXXKIff/xREyZM0LHH\nHtuitgIAmhcOhVUTqamfbBONqjYWU3k5IWQAAAAUpn79+mnKlCmeljl27FhNnDgxqzJeeuklbb/9\n9il/a4iTZIqtSP+Lr7Q0huNlPc3FccrKynTbbbfpP//5j2bPnq377rtP1157bcmsoMkdFDzTulNU\n0bIyVbeqSnss0jGa8v+q1qn/D1emfoNGUlrCR2s+SEmqKk/9W9tIar7x3h1S65GkCkvnXr5uY9o2\nm+OWnN6WfNita9JTJXWyPO8urdKfUwdLDnVr7m2756iQZQCrTH9O1jyo4RrLcl42+SVNmaX7h2yG\nA8s2ibClLZb87pIUKqtQJFLzv5VuotG0YI2ruafW18buOVn/5iCvpjXPs13b7HIgZ2L9EpibMvLJ\n2ly7ubDW187u+A1Q2vKccZWP3sk+LmZtu2qLE3YXSZZZ0Hb5mV29/R4cM7a5oq3PwUE+aTc5qN2M\nVXZvdaaxyklueb/GIbty3XwR1s1b7WSmPprg182Ok5zWHvST+r9leP9ty03dx0l/c8KLb9ZwNBeW\n2tpaT/OFr1+/XvPnz8+qjGXLlqX9rfFyy0uWLGl2/8aPt/S55aoeSTrhhBN0ySWXSJLee+89JuEA\nWYi2jaqsKqKq6tR79lhtesyjXTT1b9Xl1nN1evnGEs8wlekrV4Vbd0itu8e61MfL04O61W1Tl0E3\ndfG0bUKW/SprU+uu6dA6bZ+Kjp1S/l/WplPaNqaiJvUPljiJ3SVWjeW1sruEiVZa4jqWF7TMptwy\nS0HlNhfh1j9Z9ykLS+UVFYr9NOEmEo0qEolkfZ1tdz9g/ZNdDCHtT9aYgt09rvVvbq7l7O5f/bqf\n9ou1vZbnZPd80p633XN2cn1f4Fxd/zsq101bWr6PE9Z30e7otvY/V++8R/foTtpiHaecjTvNl2G/\nj4OxyhITczVW2ezj2ziUYbxwxO3YUAJjil/8euUcrYJh7TsZHrcr10msMO0jILvx2Tjob5l41bc4\nngtGOBz2NIYj1cc2so3jbNq0Ke1vDfGVVatWafPmzaqoSP8cVqqPRTbEgdw8t1zVU1FRoaOOOko3\n3HCDli5dqq+//lpbb711i8spREzCacKaNWs0bdo0TZkyRVOnTtXUqVP1ww8/SJJOO+003XnnnZ7W\nN3/+fP3973/Xiy++qHnz5qmqqkr9+vXT8ccfr1/96leqrEwPgPhRBtBSFeXlisb+l1qqJtaKD0UB\nAADQcol4/U+g+fPJyAEHHKC5c+dmVUY0mj5Zv3///snfv/3222b3/+677yRJrVq1UteuXVtUd67q\nkaQePXokf1+6dGmL90fx+v777zV16tRkHOejjz5KfmNv0qRJ2m233Tyt79VXX9Vdd92l999/X8uW\nLVOHDh20xx576Mwzz9Tee++dszKAlgiFpOqaGsWiMUUiEbVqVUu8EAAAAC6Y4MdwfGzfgw8+mLLS\nrxudO3dO+1tDfCWRSOj7779X3759bff98ccfk6vYDBgwoMV156oeqXTjOEzCacKIESP0zjvv2D4W\nj3vbaf/973/r2GOP1YoVK1L+vnjxYr377ru699579eqrr9p2Ri/LADIJhUKqrq5WLBZRNBJRrFXb\ntGCN9RvmAAAAAJpXXV2dEpTwSqdOndStWzctWLBAU6dObXbbhsd33HHHwNYjpa74U1tb66oMFJ8v\nvvii2YCgFyuWNS7rzDPP1B133JHy97Vr1+r777/Xv/71L/3hD3/QVVdd5WsZgBNl4TJFY1FFIvUr\nFbeqjaUs/17mZglLAAAAoMS1b9/el3Ibx0qmTp3a5OSYxrEXN/GVXNUjlW4ch7WymhCLxbTPPvvo\nwgsv1JNPPqkvv/zSl3o+//xzHXXUUVqxYoV69uypZ599VsuXL9e8efN0zTXXqLy8XJ988olGjx6t\nuro638oA7ITDYbWqrVXXLp3Ub6sttcN2A7VN/37q2b272rVNn4ADAAAAIFgOPfRQSdLkyZOTq7ta\nvfvuu/rxxx9Ttg9qPS+//HLy9+22285VGShOW2yxhY4++mhdf/31evPNN3Xttdf6Us8VV1yRnDxz\nzDHH6NNPP9Xq1as1bdo0HXTQQTLG6Oqrr9Ztt93maxmAnaqqKrVt107de/bU1gO20aDtt9eWfbZS\n5y5dFKutTZmAAwAAACBYDjjgAEUi9al0/+///q/J7Z5++mlJ9emeDj744MDWI/0vjlNTU6OtttrK\nVRmFiJVwmtA4sCcpudSS1y688EKtXr1a0WhUb7zxRvLga9OmjS6++GK1b99e48aN0/vvv6/77rtP\n48aN86UML7TuUatYRbnKI+kTMyKdUvPEVbVrlfL/UJUlp7YkY8mrbZfbsdqSFLtdTWrOujqbRLo1\nFanlrt1YnbaNVUVZ6jeDaqvSu07r6tS6rW2RpNrK1LojlpzflempztOS9JoKm/aWW1ajsT5uk5vS\nmptdoZCqq6sUiUQUi8YUi0VVXW2py5jUsp3kt3XDp1yaHn75MSdK9Qtp1tWUbHO/ZmJ3DHlwbHqW\ni7nQcss7yRNvDeYmHOSb94uTwLK1LXZts/wtrf12+1jOXbbPOa3c1GM+YXPusv7Fuonbb3e72cuv\nHPVecJYDPnM+97Rxx0ludttzYuZyfOHTGOjo/OxiGyf9JO1NcloOCktBpKMqPOPGjdOdd96puro6\nXXnllbYf6v/5z3+WVJ/S6qSTTgpsPQsWLNCf/vQnSfXBm8MOO8xVW1F8+vfvr++//z7lb9OnT/e8\nnjlz5uiaa66RJI0aNUr/+te/kumYd955Z7344osaOnSo3n33XY0fP17HH3+82rVr53kZXqltW63y\n6hpVW2IcXdukx2jax1LjDtXlqefdMptztbFciZmKSNo2ZW0s3yCNb05tozUuIalmXeZl38OW2E84\nkvqNy7JWqXEqSQq3trQl0iZtm0R1ajmmvCpjWyosF6nlYbvgTyrrq1lmc5lTFg4rEokoGosqGo0p\nGo2qvDz1vcx03+DVKlG+pSUvsHvnUrwetYvZuFkl27qLVzG8hEcFBfg22Ja1T1r7ut2Rau1tuVzs\nPFPPsRtjrPf/ds1N28ZSTpnNTtaYge2tqOX1zFl8IFf75FJaQMbuc4zM8TjruGN9ue3Ggkyxtvpy\nctP7M/VZr8q14+QziPTYWuZ6nPXREv0ApFiYAkhHFfQx0EZNTY1OPvlk3XHHHXruuef04Ycfaqed\ndkrZ5rPPPtMTTzwhSTruuOPUpk2bwNZz1113JVfTOeyww1RTk36vWaxK784gQL799ltNmDBBkvSr\nX/3KdvbXL3/5S/Xr10+SdMstt/hSBkpTOBxWLBZV586dtFWfLbX9doO07TbbqHevXurQoX36BBwA\nAAAABWfHHXfU2LFjJUm33367/vjHP2r16tWSpIULF+qUU07Rv//9b0nS+PHjbVMYv/POO+rRo4d6\n9OihG264wZd6li9frpEjR+qOO+7Q119/nZJbfeXKlXrggQe0yy67aP78+ZKkyy67TF26dHH5qgDu\n3HXXXdq4caMk6brrrkv/MK+sLDnBZsWKFXrooYd8KQOlqbyiQm3atFW3bt3Vb+v+2n6HHdRv663V\nrVt3tW7dOm0CDgAAAIDCc+mll6p9+/aqq6vT6NGjk7EUSXrrrbc0YsQIbdy4Ua1atdKVV15pW8av\nfvWrZBynYUVir+u5++67deaZZ+qVV17RwoULlWj0xezPP/9cZ555ps444wxJUrt27XT11Ve7ej0K\nFXdnefTcc88lfz/uuOOa3O7YY4/VVVddpZkzZ+rrr79OycvmRRkoDRXl5fXfjopEFItGVRNrlRrs\nY9YxAAAAUJRuu+02zZkzR6+//rquueYaXX/99WrTpo2WLVuW/JblL37xC1188cW2+2/YsCE5+WXl\nypW+1BOPx/Xyyy+nrErbqlUrVVZWaunSpcn9y8rKNH78eF100UXuXgwgC88++6yk+lRo2267re02\nQ4cOVZcuXfTjjz/q2Wef1bnnnut5GSgNNZEaRSNRRaNRtWpVm5YSnDAOAAAAUHy6du2qZ599VqNG\njdKCBQt04IEHKhqNKhQKac2aNZKkWCymp59+Wr1797YtY+nSpck4Tl1dnS/1LFy4ULfffrtuv/12\nSfXxmvbt22vt2rVau3ZtcrtevXrpySef1JZbbun2JSlIrISTR++//74kqbKyUjvuuGOT2+25557J\n36dNm+Z5GShONTU16tC+vXr32kKDtt1G2w0aqD69e6tzp07JQRQAAAAIChOPB/6n4HIR/KS6ulqv\nvfaabr31Vu2www5KJBJaunSpwuGw9txzTz3++OO67777sr5HyKaedu3a6dVXX9V5552n7bbbTrFY\nTKtWrdKSJUtkjFHfvn11xhln6KOPPtLll1+eVTsBN9atW6dZs2ZJknbfffdmt91jjz0kSR988EFK\nOgEvykBxKisLq7a2Vl26dtFWfftq+x12UP/+A9SjZ0+1bdcubQIOAAAAkE/GmLzHaDL+JAovHVWD\nIUOGaPr06Tr99NOTE1vWrFmjNm3a6JRTTtEnn3yiAw44IK/1jBs3TnfffbeOOuoo9ejRQ6FQSIsW\nLdLatWtVU1OjvfbaSzfffLNmzJihXXfdNeu2FhpWwsmjzz//XJK0xRZbqKKiosntGs8M++yzzzwv\nA4WvrKxMkZ9WuIlFo4pEalRW1ijHeAnmpAYAAADwP+FwW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gt2KxmIYMGaJDDz1Ue++9t2KxmKT61bsauInjcM5DA6fv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\n3FGBsgUAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5), tight_layout=True)\n",
        "\n",
        "sim_data.plot_field(\"frequency_monitor\", \"Hz\", \"real\", f=freq0, ax=ax1)\n",
        "ax1.set_xlim(6, 11)\n",
        "ax1.set_ylim(-2.5, 2.5)\n",
        "\n",
        "sim_data.plot_field(\"frequency_monitor\", \"Hz\", \"real\", f=freq0, ax=ax2, phase=np.pi)\n",
        "ax2.set_xlim(6, 11)\n",
        "ax2.set_ylim(-2.5, 2.5)\n",
        "\n",
        "plt.show()"
      ],
      "id": "9451d45f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The `apply_phase()` is another convenient function for modifying the\n",
        "Fourier-transformed field phase. We will use it to change the field\n",
        "phase between $0$ and $-2 \\pi$."
      ],
      "id": "37bef6f2-8d10-4186-9988-bfa1f1f3c95b"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "<link rel=\"stylesheet\"\n",
              "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
              "<script language=\"javascript\">\n",
              "  function isInternetExplorer() {\n",
              "    ua = navigator.userAgent;\n",
              "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
              "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
              "  }\n",
              "\n",
              "  /* Define the Animation class */\n",
              "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
              "    this.img_id = img_id;\n",
              "    this.slider_id = slider_id;\n",
              "    this.loop_select_id = loop_select_id;\n",
              "    this.interval = interval;\n",
              "    this.current_frame = 0;\n",
              "    this.direction = 0;\n",
              "    this.timer = null;\n",
              "    this.frames = new Array(frames.length);\n",
              "\n",
              "    for (var i=0; i<frames.length; i++)\n",
              "    {\n",
              "     this.frames[i] = new Image();\n",
              "     this.frames[i].src = frames[i];\n",
              "    }\n",
              "    var slider = document.getElementById(this.slider_id);\n",
              "    slider.max = this.frames.length - 1;\n",
              "    if (isInternetExplorer()) {\n",
              "        // switch from oninput to onchange because IE <= 11 does not conform\n",
              "        // with W3C specification. It ignores oninput and onchange behaves\n",
              "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
              "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
              "        slider.setAttribute('oninput', null);\n",
              "    }\n",
              "    this.set_frame(this.current_frame);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.get_loop_state = function(){\n",
              "    var button_group = document[this.loop_select_id].state;\n",
              "    for (var i = 0; i < button_group.length; i++) {\n",
              "        var button = button_group[i];\n",
              "        if (button.checked) {\n",
              "            return button.value;\n",
              "        }\n",
              "    }\n",
              "    return undefined;\n",
              "  }\n",
              "\n",
              "  Animation.prototype.set_frame = function(frame){\n",
              "    this.current_frame = frame;\n",
              "    document.getElementById(this.img_id).src =\n",
              "            this.frames[this.current_frame].src;\n",
              "    document.getElementById(this.slider_id).value = this.current_frame;\n",
              "  }\n",
              "\n",
              "  Animation.prototype.next_frame = function()\n",
              "  {\n",
              "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
              "  }\n",
              "\n",
              "  Animation.prototype.previous_frame = function()\n",
              "  {\n",
              "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
              "  }\n",
              "\n",
              "  Animation.prototype.first_frame = function()\n",
              "  {\n",
              "    this.set_frame(0);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.last_frame = function()\n",
              "  {\n",
              "    this.set_frame(this.frames.length - 1);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.slower = function()\n",
              "  {\n",
              "    this.interval /= 0.7;\n",
              "    if(this.direction > 0){this.play_animation();}\n",
              "    else if(this.direction < 0){this.reverse_animation();}\n",
              "  }\n",
              "\n",
              "  Animation.prototype.faster = function()\n",
              "  {\n",
              "    this.interval *= 0.7;\n",
              "    if(this.direction > 0){this.play_animation();}\n",
              "    else if(this.direction < 0){this.reverse_animation();}\n",
              "  }\n",
              "\n",
              "  Animation.prototype.anim_step_forward = function()\n",
              "  {\n",
              "    this.current_frame += 1;\n",
              "    if(this.current_frame < this.frames.length){\n",
              "      this.set_frame(this.current_frame);\n",
              "    }else{\n",
              "      var loop_state = this.get_loop_state();\n",
              "      if(loop_state == \"loop\"){\n",
              "        this.first_frame();\n",
              "      }else if(loop_state == \"reflect\"){\n",
              "        this.last_frame();\n",
              "        this.reverse_animation();\n",
              "      }else{\n",
              "        this.pause_animation();\n",
              "        this.last_frame();\n",
              "      }\n",
              "    }\n",
              "  }\n",
              "\n",
              "  Animation.prototype.anim_step_reverse = function()\n",
              "  {\n",
              "    this.current_frame -= 1;\n",
              "    if(this.current_frame >= 0){\n",
              "      this.set_frame(this.current_frame);\n",
              "    }else{\n",
              "      var loop_state = this.get_loop_state();\n",
              "      if(loop_state == \"loop\"){\n",
              "        this.last_frame();\n",
              "      }else if(loop_state == \"reflect\"){\n",
              "        this.first_frame();\n",
              "        this.play_animation();\n",
              "      }else{\n",
              "        this.pause_animation();\n",
              "        this.first_frame();\n",
              "      }\n",
              "    }\n",
              "  }\n",
              "\n",
              "  Animation.prototype.pause_animation = function()\n",
              "  {\n",
              "    this.direction = 0;\n",
              "    if (this.timer){\n",
              "      clearInterval(this.timer);\n",
              "      this.timer = null;\n",
              "    }\n",
              "  }\n",
              "\n",
              "  Animation.prototype.play_animation = function()\n",
              "  {\n",
              "    this.pause_animation();\n",
              "    this.direction = 1;\n",
              "    var t = this;\n",
              "    if (!this.timer) this.timer = setInterval(function() {\n",
              "        t.anim_step_forward();\n",
              "    }, this.interval);\n",
              "  }\n",
              "\n",
              "  Animation.prototype.reverse_animation = function()\n",
              "  {\n",
              "    this.pause_animation();\n",
              "    this.direction = -1;\n",
              "    var t = this;\n",
              "    if (!this.timer) this.timer = setInterval(function() {\n",
              "        t.anim_step_reverse();\n",
              "    }, this.interval);\n",
              "  }\n",
              "</script>\n",
              "\n",
              "<style>\n",
              ".animation {\n",
              "    display: inline-block;\n",
              "    text-align: center;\n",
              "}\n",
              "input[type=range].anim-slider {\n",
              "    width: 374px;\n",
              "    margin-left: auto;\n",
              "    margin-right: auto;\n",
              "}\n",
              ".anim-buttons {\n",
              "    margin: 8px 0px;\n",
              "}\n",
              ".anim-buttons button {\n",
              "    padding: 0;\n",
              "    width: 36px;\n",
              "}\n",
              ".anim-state label {\n",
              "    margin-right: 8px;\n",
              "}\n",
              ".anim-state input {\n",
              "    margin: 0;\n",
              "    vertical-align: middle;\n",
              "}\n",
              "</style>\n",
              "\n",
              "<div class=\"animation\">\n",
              "  <img id=\"_anim_img90ba5a164427421195c28a23bdc46e8b\">\n",
              "  <div class=\"anim-controls\">\n",
              "    <input id=\"_anim_slider90ba5a164427421195c28a23bdc46e8b\" type=\"range\" class=\"anim-slider\"\n",
              "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
              "           oninput=\"anim90ba5a164427421195c28a23bdc46e8b.set_frame(parseInt(this.value));\">\n",
              "    <div class=\"anim-buttons\">\n",
              "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.slower()\">\n",
              "          <i class=\"fa fa-minus\"></i></button>\n",
              "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.first_frame()\">\n",
              "        <i class=\"fa fa-fast-backward\"></i></button>\n",
              "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.previous_frame()\">\n",
              "          <i class=\"fa fa-step-backward\"></i></button>\n",
              "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.reverse_animation()\">\n",
              "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
              "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.pause_animation()\">\n",
              "          <i class=\"fa fa-pause\"></i></button>\n",
              "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.play_animation()\">\n",
              "          <i class=\"fa fa-play\"></i></button>\n",
              "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.next_frame()\">\n",
              "          <i class=\"fa fa-step-forward\"></i></button>\n",
              "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.last_frame()\">\n",
              "          <i class=\"fa fa-fast-forward\"></i></button>\n",
              "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim90ba5a164427421195c28a23bdc46e8b.faster()\">\n",
              "          <i class=\"fa fa-plus\"></i></button>\n",
              "    </div>\n",
              "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select90ba5a164427421195c28a23bdc46e8b\"\n",
              "          class=\"anim-state\">\n",
              "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_90ba5a164427421195c28a23bdc46e8b\"\n",
              "             >\n",
              "      <label for=\"_anim_radio1_90ba5a164427421195c28a23bdc46e8b\">Once</label>\n",
              "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_90ba5a164427421195c28a23bdc46e8b\"\n",
              "             checked>\n",
              "      <label for=\"_anim_radio2_90ba5a164427421195c28a23bdc46e8b\">Loop</label>\n",
              "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_90ba5a164427421195c28a23bdc46e8b\"\n",
              "             >\n",
              "      <label for=\"_anim_radio3_90ba5a164427421195c28a23bdc46e8b\">Reflect</label>\n",
              "    </form>\n",
              "  </div>\n",
              "</div>\n",
              "\n",
              "\n",
              "<script language=\"javascript\">\n",
              "  /* Instantiate the Animation class. */\n",
              "  /* The IDs given should match those used in the template above. */\n",
              "  (function() {\n",
              "    var img_id = \"_anim_img90ba5a164427421195c28a23bdc46e8b\";\n",
              "    var slider_id = \"_anim_slider90ba5a164427421195c28a23bdc46e8b\";\n",
              "    var loop_select_id = \"_anim_loop_select90ba5a164427421195c28a23bdc46e8b\";\n",
              "    var frames = new Array(36);\n",
              "    \n",
              "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkAAAAGACAYAAABFmt0fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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              "\"\n",
              "\n",
              "\n",
              "    /* set a timeout to make sure all the above elements are created before\n",
              "       the object is initialized. */\n",
              "    setTimeout(function() {\n",
              "        anim90ba5a164427421195c28a23bdc46e8b = new Animation(frames, img_id, slider_id, 200.0,\n",
              "                                 loop_select_id);\n",
              "    }, 0);\n",
              "  })()\n",
              "</script>"
            ]
          }
        }
      ],
      "source": [
        "import matplotlib.colors as mcolors\n",
        "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
        "\n",
        "frames = 36\n",
        "phi_range = np.linspace(0, -2 * np.pi, frames)\n",
        "vmax = np.amax(np.abs(sim_data[\"frequency_monitor\"].Hz.values)) * 0.7\n",
        "fig, ax1 = plt.subplots(1, 1, figsize=(6, 4), tight_layout=True)\n",
        "\n",
        "\n",
        "def animate_ii(i):\n",
        "    sim_data_p = sim_data[\"frequency_monitor\"]\n",
        "    sim_data_p = sim_data_p.apply_phase(phi_range[i])\n",
        "    Hz = sim_data_p.Hz\n",
        "    x = Hz[\"x\"]\n",
        "    y = Hz[\"y\"]\n",
        "    Hz = np.squeeze(np.real(np.flipud(np.rot90(Hz[:, :, 0]))))\n",
        "    divnorm = mcolors.TwoSlopeNorm(vmin=-vmax, vcenter=0, vmax=vmax)\n",
        "    image = ax1.pcolormesh(x, y, Hz, cmap=\"bwr\", shading=\"gouraud\", norm=divnorm)\n",
        "    sim_data.simulation.plot_structures_eps(\n",
        "        z=0,\n",
        "        alpha=0.25,\n",
        "        cbar=False,\n",
        "        hlim=[np.amin(x), np.amax(x)],\n",
        "        vlim=[np.amin(y), np.amax(y)],\n",
        "        ax=ax1,\n",
        "    )\n",
        "\n",
        "    divider = make_axes_locatable(ax1)\n",
        "    cax = divider.new_horizontal(size=\"2%\", pad=0.05)\n",
        "    fig.add_axes(cax)\n",
        "    fig.colorbar(image, cax=cax, orientation=\"vertical\", label=\"$H_z$\")\n",
        "\n",
        "    ax1.set_xlim([np.amin(x), np.amax(x)])\n",
        "    ax1.set_ylim([np.amin(y), np.amax(y)])\n",
        "    ax1.set_xlabel(\"x ($\\\\mu$m)\")\n",
        "    ax1.set_ylabel(\"y ($\\\\mu$m)\")\n",
        "    ax1.set_aspect(\"equal\")\n",
        "\n",
        "\n",
        "# create animation\n",
        "ani = animation.FuncAnimation(fig, animate_ii, frames=frames)\n",
        "plt.close()\n",
        "\n",
        "# display the animation\n",
        "HTML(ani.to_jshtml())"
      ],
      "id": "84dfccba"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}