{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Fitting dispersive material models\n",
        "\n",
        "Here we show how to fit optical measurement data and use the results to\n",
        "create dispersion material models for `Tidy3D`.\n",
        "\n",
        "`Tidy3D`’s dispersion fitting tool performs an optimization to find a\n",
        "medium defined as a dispersive\n",
        "[PoleResidue](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PoleResidue.html)\n",
        "model that minimizes the RMS error between the model results and the\n",
        "data. This can then be directly used as a material in simulations.\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. For\n",
        "simulation examples, please visit our [examples\n",
        "page](https://www.flexcompute.com/tidy3d/examples/). If you are new to\n",
        "the finite-difference time-domain (FDTD) method, we highly recommend\n",
        "going through our [FDTD101](https://www.flexcompute.com/fdtd101/)\n",
        "tutorials. FDTD simulations can diverge due to various reasons. If you\n",
        "run into any simulation divergence issues, please follow the steps\n",
        "outlined in our [troubleshooting\n",
        "guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/)\n",
        "to resolve it.\n",
        "\n",
        "We recommend using the\n",
        "[FastDispersionFitter](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.dispersion.FastDispersionFitter.html),\n",
        "with advanced options configurable using the\n",
        "[AdvancedFastFitterParam](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.dispersion.AdvancedFastFitterParam.html)."
      ],
      "id": "8f8be21c-ad33-4607-9e73-5db3a3d934f8"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# first import packages\n",
        "import matplotlib.pylab as plt\n",
        "import numpy as np\n",
        "import tidy3d as td"
      ],
      "id": "288cb439"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Load Data\n",
        "\n",
        "The fitting tool accepts three ways of loading data:\n",
        "\n",
        "1.  Numpy arrays directly by specifying `wvl_um`, `n_data`, and\n",
        "    optionally `k_data`;\n",
        "\n",
        "2.  Data file with the `from_file` utility function.\n",
        "\n",
        "    Our data file has columns for wavelength (um), real part of\n",
        "    refractive index (n), and imaginary part of refractive index (k). k\n",
        "    data is optional.\n",
        "\n",
        "    Note: `from_file` uses\n",
        "    [np.loadtxt](https://numpy.org/doc/stable/reference/generated/numpy.loadtxt.html)\n",
        "    under the hood, so additional keyword arguments for parsing the file\n",
        "    follow the same format as\n",
        "    [np.loadtxt](https://numpy.org/doc/stable/reference/generated/numpy.loadtxt.html).\n",
        "\n",
        "3.  URL linked to a csv/txt file that contains wavelength (micron), n,\n",
        "    and optionally k data with the `from_url` utility function. URL can\n",
        "    come from [refractiveindex.info](https://refractiveindex.info).\n",
        "\n",
        "Below the 2nd way is taken as an example:"
      ],
      "id": "3ed45e1e-2566-4797-aec9-99d4becd8f41"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABSwAAAOsCAYAAABAi/gGAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "from tidy3d.plugins.dispersion import AdvancedFastFitterParam, FastDispersionFitter\n",
        "\n",
        "fname = \"misc/nk_data.csv\"\n",
        "\n",
        "# note that additional keyword arguments to load_nk_file get passed to np.loadtxt\n",
        "fitter = FastDispersionFitter.from_file(fname, skiprows=1, delimiter=\",\")\n",
        "\n",
        "# lets plot the data\n",
        "fitter.plot()\n",
        "plt.show()"
      ],
      "id": "030b2a2c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Fitting the data\n",
        "\n",
        "The fitting tool fit a dispersion model to the data by minimizing the\n",
        "root mean squared (RMS) error between the model n,k prediction and the\n",
        "data at the given wavelengths.\n",
        "\n",
        "There are various fitting parameters that can be set, but the most\n",
        "important is the number of “poles” in the model.\n",
        "\n",
        "For each pole, there are 4 degrees of freedom in the model. Adding more\n",
        "poles can produce a closer fit, but each additional pole added will make\n",
        "the fit harder to obtain and will slow down the FDTD. Therefore, it is\n",
        "best to try the fit with few poles and increase until the results look\n",
        "good.\n",
        "\n",
        "Here, we will first try fitting the data with 1 pole and specify the RMS\n",
        "value that we are happy with (`tolerance_rms`).\n",
        "\n",
        "We specify weights for the real and imaginary part of the permittivity\n",
        "using `AdvancedFastFitterParam`, although the default weights which are\n",
        "calculated based on the typical values would also work fine here. Also\n",
        "note that, by default, `eps_inf` is optimized, although alternatively a\n",
        "fixed value for `eps_inf` can be specified as an argument to\n",
        "`fitter.fit`."
      ],
      "id": "80f2a14b-7b6c-43db-acbf-6d382646c679"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c871506151294d5a91518872564737bb\",\"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\">04:20:50 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Unable to fit with weighted RMS error under               </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'tolerance_rms'</span><span style=\"color: #800000; text-decoration-color: #800000\"> of </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.02</span><span style=\"color: #800000; text-decoration-color: #800000\">                                            </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABSwAAAOsCAYAAABAi/gGAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nKhwZ9atAOAAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "advanced_param = AdvancedFastFitterParam(weights=(1, 1))\n",
        "medium, rms_error = fitter.fit(max_num_poles=1, advanced_param=advanced_param, tolerance_rms=2e-2)\n",
        "fitter.plot(medium)\n",
        "plt.show()"
      ],
      "id": "45ecb2d4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The RMS error was above our tolerance and there is room for improvement\n",
        "at short wavelengths, so we might want to try more fits.\n",
        "\n",
        "Let’s now try a fit with up to 3 poles."
      ],
      "id": "5931a21e-cb70-4698-b45c-6ca779b3ba7b"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"2474eb8a4a384aceae3b994634de7ddc\",\"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": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABSwAAAOsCAYAAABAi/gGAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
          }
        }
      ],
      "source": [
        "medium, rms_error = fitter.fit(max_num_poles=3, advanced_param=advanced_param, tolerance_rms=2e-2)\n",
        "fitter.plot(medium)\n",
        "plt.show()"
      ],
      "id": "6ecc669f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "This fit looks great and should be sufficient for our simulation.\n",
        "\n",
        "Alternatively, if the simulation is narrowband, you might want to\n",
        "truncate your data to not include wavelengths far outside your\n",
        "measurement wavelength to simplify the dispersive model. This is through\n",
        "modifying the attribute `wvl_range` where you can set the lower\n",
        "wavelength bound `wvl_range[0]` and the higher wavelength bound\n",
        "`wvl_range[1]`. This operation is non-destructive, so you can always\n",
        "unset them by setting the value to `None`.\n",
        "\n",
        "E.g. if we are only interested in the wavelength 3-20 um, we can still\n",
        "use the single-pole model:"
      ],
      "id": "387ff174-11ce-45a8-ba8b-31fd3a4ef929"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"34b60ac78e9f4272864c56743eb58011\",\"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>"
            ]
          }
        }
      ],
      "source": [
        "fitter = fitter.copy(update={\"wvl_range\": (3, 20)})\n",
        "medium, rms_error = fitter.fit(max_num_poles=1, tolerance_rms=2e-2)"
      ],
      "id": "55eb408e"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABSwAAAOsCAYAAABAi/gGAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nJClhGFhKkiRJkiRJShj/Hw0uuNnHRDHpAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "fitter.plot(medium)\n",
        "plt.show()"
      ],
      "id": "b7914501"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Using Fit Results\n",
        "\n",
        "With the fit performed, we want to use the `Medium` in our simulation.\n",
        "\n",
        "### Method 1: direct export as Medium\n",
        "\n",
        "The fit returns a medium, which can be used directly in simulation"
      ],
      "id": "9bbd4225-ec51-4f63-94a9-fef486301b9f"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "b = td.Structure(geometry=td.Box(size=(1, 1, 1)), medium=medium)"
      ],
      "id": "43813288"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Method 2: print medium definition string\n",
        "\n",
        "In many cases, one may want to perform the fit once and then hardcode\n",
        "the result in their tidy3d script.\n",
        "\n",
        "For a quick and easy way to do this, just `print()` the medium and the\n",
        "output can be copied and pasted into your main script"
      ],
      "id": "916672c8-1ff6-484f-b59e-bff95f63a26c"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "td.PoleResidue(\n",
            "    eps_inf=3.3946193815577166, \n",
            "    poles=((np.complex128(-1667817350156640-206849778478075.84j), np.complex128(1.0047082751083348e+16-2.307684527436744e+16j)),), \n",
            "    frequency_range=None)"
          ]
        }
      ],
      "source": [
        "print(medium)"
      ],
      "id": "f785db3a"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "# medium = td.PoleResidue(\n",
        "#   eps_inf=3.394619381557077,\n",
        "#   poles=(((-1667817350156741.8-206849778477574.28j), (1.004708275108508e+16-2.307684527443524e+16j)),),\n",
        "#   frequency_range=None)"
      ],
      "id": "c13c89ce"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Method 3: save and load file containing poles\n",
        "\n",
        "Finally, one can save export the `Medium` directly as .json file. Here\n",
        "is an example."
      ],
      "id": "fab03113-d354-4672-a7a9-0df2b45ab53c"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "# save poles to pole_data.txt\n",
        "fname = \"misc/my_medium.json\"\n",
        "medium.to_file(fname)\n",
        "\n",
        "# load the file in your script\n",
        "medium = td.PoleResidue.from_file(fname)"
      ],
      "id": "dba70e5f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Advanced Parameters and Tips for FastDispersionFitter\n",
        "\n",
        "There are a number of advanced parameters for the `FastDispersionFitter`\n",
        "which can be useful if the default settings do not work to find a fit.\n",
        "The advanced parameters are configured by passing in an\n",
        "`AdvancedFastFitterParam` object. When trying to improve a fit, the\n",
        "first thing to try is changing the arguments `max_num_poles` and\n",
        "`eps_inf` to the `fit` function. Importantly, although `eps_inf = None`\n",
        "performs optimization for the value of `eps_inf` as well, this\n",
        "optimization is nontrivial and so it can sometimes be better to provide\n",
        "a fixed value of `eps_inf`. Besides these arguments, the following\n",
        "advanced parameters may be helpful:\n",
        "\n",
        "- `loss_bounds = (lower, upper)` are bounds on `Im[eps]` over all\n",
        "  frequencies (not just the fitting range). The default `(0, np.inf)`\n",
        "  corresponds to a passive medium requirement, which leads to stable\n",
        "  simulations. The upper bound can be used to ensure a good fit for a\n",
        "  lossless medium. Setting a small negative lower bound can sometimes be\n",
        "  informative; if a lower bound of 0 results in a poor fit but a small\n",
        "  negative lower bound results in a good fit, then the poor fit was due\n",
        "  to difficulty satisfying the passivity requirement. A negative lower\n",
        "  bound, and thus a violation of the passivity requirement, may result\n",
        "  in unstable simulations. However, a small violation of the passivity\n",
        "  requirement may on occasion be acceptable, if there is loss elsewhere\n",
        "  in the simulation to offset the resulting gain.\n",
        "\n",
        "- `weights = (real, imag)` are weights for `Re[eps]` and `Im[eps]` used\n",
        "  in the fitting objective function (and when reporting rms error).\n",
        "  These can be used if it is necessary to more accurately fit either the\n",
        "  real or imaginary part.\n",
        "\n",
        "- `relaxed`, `smooth`, and `logspacing` can usually be left at their\n",
        "  default values of `None`, which makes the fitter try both `True` and\n",
        "  `False` values and take the better fit. Sometimes, however, it may be\n",
        "  clear that specific values are better for a certain medium. `relaxed`\n",
        "  controls whether the relaxed version of the fitting algorithm is used.\n",
        "  For example, `relaxed = True` could prevent overfitting and also allow\n",
        "  for pole relocation further outside the fitting window. The `smooth`\n",
        "  and `logspacing` parameters control the initial pole placement.\n",
        "  `smooth = True` may be appropriate for fitting metals.\n",
        "  `logspacing = True` may be better when the poles are spread over a\n",
        "  large frequency range. Again, the default option is usually fine here\n",
        "  unless a particular type of model is required, since the default\n",
        "  option tries both `True` and `False`.\n",
        "\n",
        "- `num_iters` controls the tradeoff between speed and quality of fit,\n",
        "  although a higher `num_iters` doesn’t necessarily result in a better\n",
        "  fit. Usually, after a certain number of iterations, the algorithm has\n",
        "  converged to a certain fit, and increasing `num_iters` further won’t\n",
        "  significantly help. However, it may be good to try increasing it to\n",
        "  `100` or so to make sure that the algorithm has converged.\n",
        "\n",
        "Information on additional advanced parameters may be found in the\n",
        "documentation\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.dispersion.AdvancedFastFitterParam.html).\n",
        "\n",
        "Here are a couple more general tips on dispersion fitting:\n",
        "\n",
        "- If you are unable to find a good fit to your data, it might be worth\n",
        "  considering whether you care about certain features in the data. For\n",
        "  example as shown above, if the simulation is narrowband, you might\n",
        "  want to truncate your data to not include wavelengths far outside your\n",
        "  measurement wavelength to simplify the dispersive model.\n",
        "\n",
        "- It is common to find divergence in FDTD simulations due to dispersive\n",
        "  materials. The `FastDispersionFitter` by default should enforce a\n",
        "  passivity requirement and produce stable material fits. If there is\n",
        "  still a divergence, besides trying “absorber” PML types and reducing\n",
        "  runtime, a good solution can be to try other fits; for example, using\n",
        "  a smaller number of poles, or setting\n",
        "  `loss_bounds = (min_loss, np.inf)` for some small positive number\n",
        "  `min_loss` (the latter can only work if the data satisfies this\n",
        "  minimum loss constraint)."
      ],
      "id": "1fb3006c-d475-4d7c-b0e0-e0648ff43aac"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}