{ "cells": [ { "cell_type": "markdown", "id": "a2d55732-599d-449a-9d20-5df20c5520fd", "metadata": {}, "source": [ "# Multilevel blazed diffraction grating\n", "\n", "In this example, we compute the grating efficiency of a multilevel diffraction grating whose design is inspired by M. Oliva, T. Harzendorf, D. Michaelis, U. D. Zeitner, and A. Tünnermann, \"Multilevel blazed gratings in resonance domain: an alternative to the classical fabrication approach,\" _Opt. Express_ 19, 14735-14745 (2011), DOI: [10.1364/OE.19.014735](https://doi.org/10.1364/OE.19.014735).\n", "\n", "Tidy3D uses a near field to far field transformation specialized to periodic structures to compute the grating efficiency and its accuracy is verified through a comparison with the semi-analytical rigorous coupled wave analysis (RCWA) approach using the open-source library [grcwa](https://grcwa.readthedocs.io/en/latest/index.html).\n", "\n", "If you are new to the finite-difference time-domain (FDTD) method, we highly recommend going through our [FDTD101](https://www.flexcompute.com/fdtd101/) tutorials. " ] }, { "cell_type": "code", "execution_count": 1, "id": "4963c7fb-8d1d-4b15-8794-65a5798d7c5d", "metadata": { "tags": [] }, "outputs": [], "source": [ "# basic python imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Tidy3D import\n", "import tidy3d as td\n", "from tidy3d import web\n" ] }, { "cell_type": "markdown", "id": "7d4f0faa", "metadata": {}, "source": [ "## Normal incidence\n", "\n", "We will first analyze the grating under normal incidence, as also studied in the paper. In this case, we can use periodic boundary conditions in both tangential directions." ] }, { "cell_type": "markdown", "id": "d12b5401-7572-40ac-ab0a-d563a572381a", "metadata": {}, "source": [ "### Geometry setup\n", "First, the structure and simulation geometry are defined. The structure includes a dielectric substrate with two dielectric patterned layers." ] }, { "cell_type": "code", "execution_count": 2, "id": "995e5434-94a2-497a-ab6a-91392c0348b9", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Grating parameters (all lengths in um)\n", "index = 1.46847\n", "period = 1.866\n", "width_layer1 = 0.519\n", "width_layer2 = 1.202\n", "height_layer1 = 0.333\n", "height_layer2 = 0.281\n", "\n", "# free space central wavelength\n", "wavelength = 0.416\n", "\n", "# Simulation domain geometry\n", "space_above = wavelength * 3\n", "height_substrate = wavelength * 3\n", "space_below = wavelength * 3\n", "\n", "# Define a buffer to make sure objects extend past the simulation boundary\n", "buffer = 0.1\n", "\n", "# Simulation domain along x and z\n", "length_x = period\n", "length_z = space_below + height_substrate + height_layer1 + height_layer2 + space_above\n", "\n", "# Define the medium\n", "grating_medium = td.Medium(permittivity=index**2)\n", "\n", "# Create the substrate\n", "substrate = td.Structure(\n", " geometry=td.Box(\n", " center=[0, 0, -length_z / 2 + height_substrate / 2 + space_below],\n", " size=[td.inf, td.inf, height_substrate],\n", " ),\n", " medium=grating_medium,\n", ")\n", "\n", "# Level 1 grating\n", "center_L1 = [\n", " -buffer / 2 - length_x / 2 + width_layer1 / 2 + width_layer2 / 2,\n", " 0,\n", " -length_z / 2 + space_below + height_substrate + height_layer2 / 2,\n", "]\n", "size_L1 = [width_layer1 + width_layer2 + buffer, td.inf, height_layer2]\n", "grating_L1 = td.Structure(\n", " geometry=td.Box(center=center_L1, size=size_L1),\n", " medium=grating_medium,\n", ")\n", "\n", "# Level 2 grating\n", "center_L2 = [\n", " -buffer / 2 - length_x / 2 + width_layer1 / 2,\n", " 0,\n", " -length_z / 2 + space_below + height_substrate + height_layer2 + height_layer1 / 2,\n", "]\n", "size_L2 = [width_layer1 + buffer, td.inf, height_layer1]\n", "grating_L2 = td.Structure(\n", " geometry=td.Box(center=center_L2, size=size_L2),\n", " medium=grating_medium,\n", ")\n", "\n", "# Collect all structures\n", "structures = [substrate, grating_L1, grating_L2]\n" ] }, { "cell_type": "markdown", "id": "b690f441-06c1-42b2-902a-9518762c80c5", "metadata": {}, "source": [ "### Source setup\n", "Next, define the source plane wave impinging from above the grating at normal incidence." ] }, { "cell_type": "code", "execution_count": 3, "id": "d384ea06-0bf1-440c-9dc4-5a181b02af93", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Central frequency in Hz\n", "f0 = td.C_0 / wavelength\n", "\n", "# Bandwidth\n", "fwidth = f0 / 40.0\n", "\n", "# Run time\n", "run_time = 100 / fwidth\n", "\n", "# Time dependence of source\n", "gaussian = td.GaussianPulse(freq0=f0, fwidth=fwidth)\n", "\n", "# Source\n", "src_z = length_z / 2 - space_above / 2\n", "angle_theta = np.pi / 10\n", "source = td.PlaneWave(\n", " center=(0, 0, src_z),\n", " size=(td.inf, td.inf, 0),\n", " source_time=gaussian,\n", " direction=\"-\",\n", " pol_angle=0,\n", " angle_theta=0,\n", " angle_phi=0,\n", ")\n" ] }, { "cell_type": "markdown", "id": "2d5cd1e2-ee5e-4d22-a2b4-8b18c9f0081b", "metadata": {}, "source": [ "### Monitor setup\n", "Here, we'll set up a field monitor to record and plot the frequency domain fields at a plane in the `xz` cross-section. We'll also set up two [DiffractionMonitor](../_autosummary/tidy3d.DiffractionMonitor.html), one for reflection, and the other for transmission." ] }, { "cell_type": "code", "execution_count": 4, "id": "89f43cc2-6d96-4c0a-908e-9bbd62840f34", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Fields\n", "monitor_xz = td.FieldMonitor(\n", " center=[0, 0, 0], size=[td.inf, 0, td.inf], freqs=[f0], name=\"field_xz\"\n", ")\n", "\n", "# The allowed orders will be computed automatically and returned as part of the results\n", "monitor_r = td.DiffractionMonitor(\n", " center=[0.0, 0.0, length_z / 2 - wavelength],\n", " size=[td.inf, td.inf, 0],\n", " freqs=[f0],\n", " name=\"reflection\",\n", " normal_dir=\"+\",\n", ")\n", "\n", "monitor_t = td.DiffractionMonitor(\n", " center=[0.0, 0.0, -length_z / 2 + wavelength],\n", " size=[td.inf, td.inf, 0],\n", " freqs=[f0],\n", " name=\"transmission\",\n", " normal_dir=\"-\",\n", ")\n", "\n", "monitors = [monitor_xz, monitor_r, monitor_t]\n" ] }, { "cell_type": "markdown", "id": "383d61f0-c458-486d-9573-e52847faa88a", "metadata": {}, "source": [ "### Set up boundary conditions and initialize simualtion\n", "\n", "For normal incidence, we can use periodic boundary conditions along the `x` and `y` directions. More generally, we need to use Bloch boundary conditions as will be illustrated below. We can also use Bloch boundaries with zero Bloch vector for normal incidence, but a simulation with Bloch boundaries uses complex fields and is twice more computationally expensive than a simulation with periodic boundaries, while the results for `bloch_vec = 0` are equivalent.\n", "\n", "Along `z`, a perfectly matched layer (PML) is applied to mimic an infinite domain. Because the diffraction grating introduces waves propagating at various angles, including steep angles with respect to the PML boundary, we use more layers than the default value to minimize spurious reflections at the PMLs." ] }, { "cell_type": "code", "execution_count": 5, "id": "0de6bd71-4044-4999-a2e0-5868fdec613d", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Simulation size\n", "length_y = 0 # grating is translationally invariant along y\n", "sim_size = (length_x, length_y, length_z)\n", "\n", "# Resolution\n", "min_steps_per_wvl = 60\n", "\n", "# Boundaries\n", "num_pml_layers = 40\n", "boundary_spec = td.BoundarySpec(\n", " x=td.Boundary.periodic(),\n", " y=td.Boundary.periodic(),\n", " z=td.Boundary(\n", " minus=td.PML(num_layers=num_pml_layers), plus=td.PML(num_layers=num_pml_layers)\n", " ),\n", ")\n", "\n", "# Simulation\n", "simulation = td.Simulation(\n", " size=sim_size,\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=min_steps_per_wvl),\n", " structures=structures,\n", " sources=[source],\n", " monitors=monitors,\n", " run_time=run_time,\n", " boundary_spec=boundary_spec,\n", ")\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(5, 8))\n", "simulation.plot(y=0, ax=ax)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "005b6b43-4988-4134-91e1-c90da7319aed", "metadata": {}, "source": [ "### Run simulation" ] }, { "cell_type": "code", "execution_count": 6, "id": "4bebcdbb-af7c-4c54-a22b-083681d1e0cd", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
[16:27:36] Created task 'GratingEfficiency' with task_id                        webapi.py:139\n",
       "           'fdve-b947ba35-c6ec-460f-a671-739525c62971v1'.                                    \n",
       "
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           View task using web UI at 'https://tidy3d.simulation.cloud/workbench webapi.py:141\n",
       "           ?taskId=fdve-b947ba35-c6ec-460f-a671-739525c62971v1'.                             \n",
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We can also access the diffraction angles and the complex power amplitudes for each order and polarization." ] }, { "cell_type": "code", "execution_count": 7, "id": "de81f913", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total power: \n", "array(0.9980561)\n", "Theta (degrees): 63.09, 41.98, 26.48, 12.88, 0.00, 12.88, 26.48, 41.98, 63.09\n", "Amplitude data: \n", "\n", "array([[[[ 5.11645475e-18-1.13903179e-17j,\n", " 3.12478968e-02-6.99604031e-02j]]],\n", "\n", "\n", " [[[-1.25584969e-17+7.76529007e-18j,\n", " -9.82699030e-02+6.07843732e-02j]]],\n", "\n", "\n", " [[[ 3.74715466e-17-2.01430094e-17j,\n", " 3.04128878e-01-1.63471254e-01j]]],\n", "\n", "\n", " [[[ 3.59066936e-17+5.03400521e-17j,\n", " 2.93110272e-01+4.10932509e-01j]]],\n", "\n", "\n", " [[[ 0.00000000e+00+0.00000000e+00j,\n", " -9.29520360e-03+5.36648245e-01j]]],\n", "\n", "\n", " [[[ 0.00000000e+00+0.00000000e+00j,\n", " -2.23863585e-01+2.80712710e-01j]]],\n", "\n", "\n", " [[[ 0.00000000e+00+0.00000000e+00j,\n", " 1.24167995e-01-2.42265122e-01j]]],\n", "\n", "\n", " [[[ 0.00000000e+00+0.00000000e+00j,\n", " 1.59876588e-01+9.83122650e-02j]]],\n", "\n", "\n", " [[[ 0.00000000e+00+0.00000000e+00j,\n", " 1.26630822e-01+8.93053699e-02j]]]])\n", "Coordinates:\n", " * orders_x (orders_x) int64 -4 -3 -2 -1 0 1 2 3 4\n", " * orders_y (orders_y) int64 0\n", " * f (f) float64 7.207e+14\n", " * polarization (polarization) diel_center[0] + diel_size[0] / 2)\n", " | (y_grid < diel_center[1] - diel_size[1] / 2)\n", " | (y_grid > diel_center[1] + diel_size[1] / 2)\n", " )\n", " return ind\n", "\n", " ind_L1 = get_ind(x_sim, x_sim, center_L1, size_L1)\n", " ind_L2 = get_ind(x_sim, x_sim, center_L2, size_L2)\n", "\n", " eps_grid_L1[ind_L1] = eps_background\n", " eps_grid_L2[ind_L2] = eps_background\n", "\n", "# Combine the three layer masks\n", "eps_grid = np.concatenate(\n", " (eps_grid_L2.flatten(), eps_grid_L1.flatten(), eps_grid_substrate.flatten())\n", ")\n", "\n", "# Apply these material masks to the model\n", "obj.GridLayer_geteps(eps_grid)\n", "\n", "# Set up the s-polarized plane wave source\n", "planewave = {\"p_amp\": 1, \"s_amp\": 0, \"p_phase\": 0, \"s_phase\": 0}\n", "obj.MakeExcitationPlanewave(\n", " planewave[\"p_amp\"],\n", " planewave[\"p_phase\"],\n", " planewave[\"s_amp\"],\n", " planewave[\"s_phase\"],\n", " order=0,\n", ")\n", "\n", "# Run grcwa to get the reflection and transmission efficiencies by order\n", "R, T = obj.RT_Solve(normalize=1)\n", "Ri, Ti = obj.RT_Solve(byorder=1)\n", "\n", "\n", "def rcwa_order_index(orders_x, orders_y, obj, rcwa_data):\n", " \"\"\"Helper function to extract data corresponding to particular order pairs.\"\"\"\n", " ords = []\n", " out_data = []\n", " for order_y in orders_y:\n", " ords.append([])\n", " out_data.append([])\n", " for order_x in orders_x:\n", " order = [order_x, order_y]\n", " ords[-1].append(obj.G.tolist().index(order))\n", " out_data[-1].append(np.array(rcwa_data[ords[-1][-1]]))\n", " return ords, out_data\n", "\n", "\n", "# Extract grcwa results at orders corresponding to those computed above by Tidy3D\n", "r_ords, Ri_by_order = rcwa_order_index(\n", " data_r.orders_x,\n", " data_r.orders_y,\n", " obj,\n", " Ri,\n", ")\n", "t_ords, Ti_by_order = rcwa_order_index(\n", " data_t.orders_x,\n", " data_t.orders_y,\n", " obj,\n", " Ti,\n", ")\n" ] }, { "cell_type": "markdown", "id": "3646f5cf-4815-4c7b-bda5-21f70ab69da3", "metadata": {}, "source": [ "### Plot and compare diffracted power\n", "Since this is essentially a 1D grating along `x`, we'll plot the power, which is normalized and corresponds to the grating efficiency, as a function of `x` for order 0 in `y`. The results are in excellent agreement with each other." ] }, { "cell_type": "code", "execution_count": 9, "id": "b565b58a-0f4e-4bc6-a192-3f0c28b6c145", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "orders_x = data_r.orders_x\n", "ax[0].plot(orders_x, data_r.power.sel(orders_y=0), \"o-\", label=\"Tidy3D\")\n", "ax[0].plot(orders_x, Ri_by_order[0], \"s--\", label=\"grcwa\")\n", "ax[0].set_title(\"Reflection\")\n", "ax[0].set_xlabel(\"Order along x\")\n", "ax[0].legend()\n", "\n", "orders_x = data_t.orders_x\n", "ax[1].plot(orders_x, data_t.power.sel(orders_y=0), \"o-\", label=\"Tidy3D\")\n", "ax[1].plot(orders_x, Ti_by_order[0], \"s--\", label=\"grcwa\")\n", "ax[1].set_title(\"Transmission\")\n", "ax[1].set_xlabel(\"Order along x\")\n", "ax[1].legend()\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "25dc4a93-6acd-45e6-affa-f7c347dae7dd", "metadata": {}, "source": [ "### Plot and compare power amplitudes\n", "We can also compare the transmitted complex power amplitude for each order and each polarization to those obtained via the [grcwa](https://grcwa.readthedocs.io/en/latest/index.html) package. The power amplitudes are complex and provide information about the phase difference among different orders.\n", "\n", "Note that grcwa returns fields in Cartesian coordinates, while Tidy3D returns power amplitudes in the `s` and `p` polarization basis. Therefore, we will use some convenience methods to convert grcwa's fields to spherical coordinates before comparing the two solvers." ] }, { "cell_type": "code", "execution_count": 10, "id": "6acbd424-181c-47d6-aa4c-b78591b2e493", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import xarray as xr\n", "\n", "# get amplitudes from Tidy3D results\n", "amps_sp = data_t.amps\n", "\n", "# get amplitudes from grcwa\n", "\n", "# we're sampling near-fields in the lower-most layer\n", "layer = 4\n", "# position above the simulation domain's bottom where we're sampling\n", "z_offset = monitor_t.center[2] - (-sim_size[2] / 2)\n", "amps_grcwa_xy, _ = obj.Solve_FieldFourier(layer, z_offset)\n", "\n", "# Extract grcwa results at orders corresponding to those computed by Tidy3D\n", "amps_grcwa_xy = [\n", " np.array(rcwa_order_index(data_t.orders_x, data_t.orders_y, obj, amps)[1])\n", " for amps in amps_grcwa_xy\n", "]\n", "\n", "# we need to swap the axes as below for the data to match Tidy3D data\n", "amps_grcwa_xy = [np.swapaxes(amps, 0, 1) for amps in amps_grcwa_xy]\n", "\n", "# to match the format of Tidy3D data, add a frequency dimension\n", "amps_grcwa_xy = [amps[..., None] for amps in amps_grcwa_xy]\n", "\n", "# convert to spherical coordinates\n", "theta, phi = data_t.angles\n", "amps_grcwa_tp = data_t.monitor.car_2_sph_field(\n", " amps_grcwa_xy[0], amps_grcwa_xy[1], amps_grcwa_xy[2], theta.values, phi.values\n", ")\n", "\n", "# make an xarray dataset for the rcwa amplitudes\n", "coords = {}\n", "coords[\"orders_x\"] = np.atleast_1d(data_t.orders_x)\n", "coords[\"orders_y\"] = np.atleast_1d(data_t.orders_y)\n", "coords[\"f\"] = np.array(data_t.f)\n", "coords[\"polarization\"] = [\"s\", \"p\"]\n", "amps_grcwa_sp = xr.DataArray(\n", " np.stack([amps_grcwa_tp[2], amps_grcwa_tp[1]], axis=3), coords=coords\n", ")\n", "\n", "# finally, we can compare the complex amplitudes for the y=0 order, as a function of orders along x\n", "pol = \"p\"\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n", "orders_x = data_t.orders_x\n", "data_tidy3d = data_t.amps.sel(polarization=pol).values[:, 0]\n", "data_grcwa = amps_grcwa_sp.sel(polarization=pol).values[:, 0]\n", "\n", "ax[0].plot(orders_x, np.real(data_tidy3d), \"o-\", label=\"Tidy3D\")\n", "ax[0].plot(orders_x, np.real(data_grcwa), \"s--\", label=\"grcwa\")\n", "ax[0].set_title(f\"{pol}-pol, real part\")\n", "ax[0].set_ylabel(\"Transmission\")\n", "ax[0].set_xlabel(\"Order along x\")\n", "ax[0].legend()\n", "\n", "ax[1].plot(orders_x, np.imag(data_tidy3d), \"o-\", label=\"Tidy3D\")\n", "ax[1].plot(orders_x, np.imag(data_grcwa), \"s--\", label=\"grcwa\")\n", "ax[1].set_title(f\"{pol}-pol, imag part\")\n", "ax[1].set_ylabel(\"Transmission\")\n", "ax[1].set_xlabel(\"Order along x\")\n", "ax[1].legend()\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "033a8fd6-03c5-427b-818a-9f7a23b12b0b", "metadata": {}, "source": [ "### Plot Field Distributions\n", "Plot the frequency-domain electric field components at the center frequency along an `xz` cut of the domain. The `y` component is zero everywhere because the wave is entirely `x`-polarized." ] }, { "cell_type": "code", "execution_count": 11, "id": "1b736593-d3e0-4c46-a4a1-bc642ce9ee29", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = sim_data[\"field_xz\"]\n", "fig, axs = plt.subplots(1, 4, tight_layout=True, figsize=(12, 5))\n", "sim_data.simulation.plot(y=0, ax=axs[0])\n", "sim_data.plot_field(\"field_xz\", field_name=\"Ex\", val=\"abs\", ax=axs[1])\n", "sim_data.plot_field(\"field_xz\", field_name=\"Ey\", val=\"abs\", ax=axs[2])\n", "sim_data.plot_field(\"field_xz\", field_name=\"Ez\", val=\"abs\", ax=axs[3])\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "e6fabbff", "metadata": {}, "source": [ "## Off-normal incidence\n", "\n", "To study a diffraction grating under an angled illumination, we need to use Bloch boundary conditions along the `x` and `y` directions that match the incoming wave. The Bloch vector can be automatically computed based on the plane wave parameters, as shown below.\n", "\n", "If the illumination is such that the angle is non-zero along y, a slightly special treatment is required in that we cannot set the simulation size to zero in that direction anymore. Instead we should define the simulation length to be a small finite value, and set the mesh step in that direction to the same value." ] }, { "cell_type": "code", "execution_count": 12, "id": "93287773", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Angles\n", "angle_theta = np.pi / 10\n", "angle_phi = np.pi / 3\n", "\n", "# Simulation size\n", "length_y = 0.01 # needed when angle_phi is not zero\n", "sim_size = (length_x, length_y, length_z)\n", "\n", "# Angled source\n", "src_z = length_z / 2 - space_above / 2\n", "angle_theta = np.pi / 10\n", "source = td.PlaneWave(\n", " center=(0, 0, src_z),\n", " size=(td.inf, td.inf, 0),\n", " source_time=gaussian,\n", " direction=\"-\",\n", " pol_angle=0,\n", " angle_theta=angle_theta,\n", " angle_phi=angle_phi,\n", ")\n", "\n", "# Boundaries\n", "bloch_x = td.Boundary.bloch_from_source(source=source, domain_size=sim_size[0], axis=0)\n", "bloch_y = td.Boundary.bloch_from_source(source=source, domain_size=sim_size[1], axis=1)\n", "boundary_spec = td.BoundarySpec(\n", " x=bloch_x,\n", " y=bloch_y,\n", " z=td.Boundary(\n", " minus=td.PML(num_layers=num_pml_layers), plus=td.PML(num_layers=num_pml_layers)\n", " ),\n", ")\n", "\n", "# Simulation\n", "simulation = td.Simulation(\n", " size=sim_size,\n", " grid_spec=td.GridSpec(\n", " grid_x=td.AutoGrid(min_steps_per_wvl=60),\n", " grid_y=td.UniformGrid(dl=sim_size[1]),\n", " grid_z=td.AutoGrid(min_steps_per_wvl=60),\n", " ),\n", " structures=structures,\n", " sources=[source],\n", " monitors=monitors,\n", " run_time=run_time * 2,\n", " boundary_spec=boundary_spec,\n", ")\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(5, 8))\n", "simulation.plot(y=0, ax=ax)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "f75e1cb4", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
[16:30:12] Created task 'GratingEfficiency' with task_id                        webapi.py:139\n",
       "           'fdve-01b65d4a-0b85-4644-b85e-fd96e3b41f19v1'.                                    \n",
       "
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           View task using web UI at 'https://tidy3d.simulation.cloud/workbench webapi.py:141\n",
       "           ?taskId=fdve-01b65d4a-0b85-4644-b85e-fd96e3b41f19v1'.                             \n",
       "
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[16:30:16] status = preprocess                                                  webapi.py:265\n",
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[16:33:08] loading SimulationData from data/GratingEfficiency.hdf5              webapi.py:512\n",
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[16:33:08] WARNING: updating Simulation from 2.1 to 2.2                             log.py:50\n",
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Note that, because we are injecting backwards, we need to add an `np.pi` to `angle_theta` in the `grcwa` computation." ] }, { "cell_type": "code", "execution_count": 16, "id": "bf5f39aa", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Define lattice constants - size of the domain\n", "# grcwa requires a finite non-zero size along each dimension\n", "size_y = 1e-3\n", "L1 = [sim_size[0], 0]\n", "L2 = [0, size_y]\n", "\n", "# Set truncation order\n", "nG = 300\n", "\n", "# Set up RCWA object\n", "freq = f0 / td.C_0 # grcwa uses normalized coordinates where the speed of light is 1\n", "obj = grcwa.obj(nG, L1, L2, freq, angle_theta + np.pi, angle_phi, verbose=0)\n", "\n", "# Set up the geometry (the layers are ordered top to bottom in grcwa)\n", "num_patterned_layers = 3\n", "thick_top = space_above\n", "thick_layers = [height_layer1, height_layer2, height_substrate]\n", "thick_bot = space_below\n", "\n", "# Discretization points along x and y\n", "num_x = 300\n", "num_y = 100\n", "\n", "# Permittivity info\n", "eps_background = 1\n", "eps_diel = index**2\n", "\n", "# Add the layers to the grcwa model\n", "obj.Add_LayerUniform(thick_top, eps_background)\n", "for i in range(num_patterned_layers):\n", " obj.Add_LayerGrid(thick_layers[i], num_x, num_y)\n", "obj.Add_LayerUniform(thick_bot, eps_background)\n", "\n", "obj.Init_Setup(Gmethod=1)\n", "\n", "if structures == []:\n", " eps_grid_substrate = np.ones((num_x, num_y)) * eps_background\n", " eps_grid_L1 = np.ones((num_x, num_y)) * eps_background\n", " eps_grid_L2 = np.ones((num_x, num_y)) * eps_background\n", "elif len(structures) == 1:\n", " eps_grid_substrate = np.ones((num_x, num_y)) * eps_diel\n", " eps_grid_L1 = np.ones((num_x, num_y)) * eps_background\n", " eps_grid_L2 = np.ones((num_x, num_y)) * eps_background\n", "elif len(structures) == 2:\n", " eps_grid_substrate = np.ones((num_x, num_y)) * eps_diel\n", " eps_grid_L1 = np.ones((num_x, num_y)) * eps_diel\n", " eps_grid_L2 = np.ones((num_x, num_y)) * eps_background\n", "else:\n", "\n", " eps_grid_substrate = np.ones((num_x, num_y)) * eps_diel\n", " eps_grid_L1 = np.ones((num_x, num_y)) * eps_diel\n", " eps_grid_L2 = np.ones((num_x, num_y)) * eps_diel\n", "\n", " # For each layer, we need to create a permittivity mask\n", " sim_center_rcwa = simulation.center\n", " sim_size_rcwa = [sim_size[0], size_y]\n", "\n", " # Create a grid of all possible coordinates\n", " x0 = np.linspace(\n", " sim_center_rcwa[0] - sim_size_rcwa[0] / 2,\n", " sim_center_rcwa[0] + sim_size_rcwa[0] / 2,\n", " num_x,\n", " )\n", " y0 = np.linspace(\n", " sim_center_rcwa[1] - sim_size_rcwa[1] / 2,\n", " sim_center_rcwa[1] + sim_size_rcwa[1] / 2,\n", " num_y,\n", " )\n", " x_sim, y_sim = np.meshgrid(x0, y0, indexing=\"ij\")\n", "\n", " # Now mask out the coordinates that correspond to the dielectric regions\n", " center_L1 = grating_L1.geometry.center\n", " size_L1 = grating_L1.geometry.size\n", "\n", " center_L2 = grating_L2.geometry.center\n", " size_L2 = grating_L2.geometry.size\n", "\n", " def get_ind(x_grid, y_grid, diel_center, diel_size):\n", " \"\"\"Get the anti-mask indices for a given dielectric slab.\"\"\"\n", " ind = np.nonzero(\n", " (x_grid < diel_center[0] - diel_size[0] / 2)\n", " | (x_grid > diel_center[0] + diel_size[0] / 2)\n", " | (y_grid < diel_center[1] - diel_size[1] / 2)\n", " | (y_grid > diel_center[1] + diel_size[1] / 2)\n", " )\n", " return ind\n", "\n", " ind_L1 = get_ind(x_sim, x_sim, center_L1, size_L1)\n", " ind_L2 = get_ind(x_sim, x_sim, center_L2, size_L2)\n", "\n", " eps_grid_L1[ind_L1] = eps_background\n", " eps_grid_L2[ind_L2] = eps_background\n", "\n", "# Combine the three layer masks\n", "eps_grid = np.concatenate(\n", " (eps_grid_L2.flatten(), eps_grid_L1.flatten(), eps_grid_substrate.flatten())\n", ")\n", "\n", "# Apply these material masks to the model\n", "obj.GridLayer_geteps(eps_grid)\n", "\n", "# Set up the s-polarized plane wave source\n", "planewave = {\"p_amp\": 1, \"s_amp\": 0, \"p_phase\": 0, \"s_phase\": 0}\n", "obj.MakeExcitationPlanewave(\n", " planewave[\"p_amp\"],\n", " planewave[\"p_phase\"],\n", " planewave[\"s_amp\"],\n", " planewave[\"s_phase\"],\n", " order=0,\n", ")\n", "\n", "# Run grcwa to get the reflection and transmission efficiencies by order\n", "R, T = obj.RT_Solve(normalize=1)\n", "Ri, Ti = obj.RT_Solve(byorder=1)\n", "\n", "\n", "def rcwa_order_index(orders_x, orders_y, obj, rcwa_data):\n", " \"\"\"Helper function to extract data corresponding to particular order pairs.\"\"\"\n", " ords = []\n", " out_data = []\n", " for order_y in orders_y:\n", " ords.append([])\n", " out_data.append([])\n", " for order_x in orders_x:\n", " order = [order_x, order_y]\n", " ords[-1].append(obj.G.tolist().index(order))\n", " out_data[-1].append(np.array(rcwa_data[ords[-1][-1]]))\n", " return ords, out_data\n", "\n", "\n", "# Extract grcwa results at orders corresponding to those computed above by Tidy3D\n", "r_ords, Ri_by_order = rcwa_order_index(\n", " data_r.orders_x,\n", " data_r.orders_y,\n", " obj,\n", " Ri,\n", ")\n", "t_ords, Ti_by_order = rcwa_order_index(\n", " data_t.orders_x,\n", " data_t.orders_y,\n", " obj,\n", " Ti,\n", ")\n" ] }, { "cell_type": "code", "execution_count": 17, "id": "c94e365b", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "orders_x = data_r.orders_x\n", "ax[0].plot(orders_x, data_r.power.sel(orders_y=0), \"o-\", label=\"Tidy3D\")\n", "ax[0].plot(orders_x, Ri_by_order[0], \"s--\", label=\"grcwa\")\n", "ax[0].set_title(\"Reflection\")\n", "ax[0].set_xlabel(\"Order along x\")\n", "ax[0].legend()\n", "\n", "orders_x = data_t.orders_x\n", "ax[1].plot(orders_x, data_t.power.sel(orders_y=0), \"o-\", label=\"Tidy3D\")\n", "ax[1].plot(orders_x, Ti_by_order[0], \"s--\", label=\"grcwa\")\n", "ax[1].set_title(\"Transmission\")\n", "ax[1].set_xlabel(\"Order along x\")\n", "ax[1].legend()\n", "\n", "plt.show()\n" ] } ], "metadata": { "description": "This notebook demonstrates how to model a multilevel blazed diffraction grating in Tidy3D FDTD.", "feature_image": "./img/blazed_grating.png", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "keywords": "blazed grating, diffraction grating, Tidy3D, FDTD", "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.0" }, "title": "How to model a multilevel blazed diffraction grating in Tidy3D FDTD", "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "0230177d48184785ba3e5d0dcfb3af02": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_264239e741684e2c8c03306dfe90a75b", "msg_id": "", "outputs": [ { "data": { "text/html": "
% done (field decay = 2.84e-06) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\n
\n", "text/plain": "% done (field decay = 2.84e-06) \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[36m0:00:00\u001b[0m\n" }, "metadata": {}, "output_type": "display_data" } ] } }, "05814de639464a07b685726251a0c1dd": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_3043922c8fa24489ac9b90915dea2733", "msg_id": "", "outputs": [ { "data": { "text/html": "
% done (field decay = 6.87e-06) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\n
\n", "text/plain": "% done (field decay = 6.87e-06) \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[36m0:00:00\u001b[0m\n" }, "metadata": {}, "output_type": "display_data" } ] } }, "0af3529c7c334ca9a703e9c491a6a401": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_f92d1a29fbb5460187c82c6e1b5a8ee2", "msg_id": "", "outputs": [ { "data": { "text/html": "
 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%16.2/16.2 MB28.2 MB/s0:00:00\n
\n", "text/plain": "\u001b[1;32m↓\u001b[0m \u001b[1;34mmonitor_data.hdf5\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100.0%\u001b[0m • \u001b[32m16.2/16.2 MB\u001b[0m • \u001b[31m28.2 MB/s\u001b[0m • \u001b[36m0:00:00\u001b[0m\n" }, "metadata": {}, "output_type": "display_data" } ] } }, "2573aa98db68414db5d91febe3925952": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "_model_module": "@jupyter-widgets/base", "_model_module_version": "1.2.0", "_model_name": "LayoutModel", "_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "LayoutView", "align_content": null, "align_items": null, "align_self": null, "border": null, "bottom": null, "display": null, "flex": null, "flex_flow": null, "grid_area": null, "grid_auto_columns": null, "grid_auto_flow": null, "grid_auto_rows": null, "grid_column": null, "grid_gap": null, "grid_row": null, "grid_template_areas": null, "grid_template_columns": null, "grid_template_rows": null, "height": null, "justify_content": null, "justify_items": null, "left": null, "margin": null, "max_height": null, "max_width": null, "min_height": null, "min_width": null, "object_fit": null, "object_position": null, "order": null, "overflow": null, "overflow_x": null, "overflow_y": null, "padding": null, "right": null, "top": null, "visibility": null, "width": null } }, "264239e741684e2c8c03306dfe90a75b": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "_model_module": "@jupyter-widgets/base", "_model_module_version": "1.2.0", "_model_name": "LayoutModel", "_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "LayoutView", "align_content": null, "align_items": null, "align_self": null, "border": null, "bottom": null, "display": null, "flex": null, "flex_flow": null, "grid_area": null, "grid_auto_columns": null, "grid_auto_flow": null, "grid_auto_rows": null, "grid_column": null, "grid_gap": null, "grid_row": null, "grid_template_areas": null, "grid_template_columns": null, "grid_template_rows": null, "height": null, "justify_content": null, "justify_items": null, "left": null, "margin": null, "max_height": null, "max_width": null, "min_height": null, "min_width": null, "object_fit": null, "object_position": null, "order": null, "overflow": null, "overflow_x": null, "overflow_y": null, "padding": null, "right": null, "top": null, "visibility": null, "width": null } }, "2664b65713894749b0afb4f6779f6c20": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_9fb87545f17147968ab38f88e8ac0a6c", "msg_id": "", "outputs": [ { "data": { "text/html": "
 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%3.7/3.7 kB?0:00:00\n
\n", "text/plain": "\u001b[1;31m↑\u001b[0m \u001b[1;34msimulation.json\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100.0%\u001b[0m • \u001b[32m3.7/3.7 kB\u001b[0m • \u001b[31m?\u001b[0m • \u001b[36m0:00:00\u001b[0m\n" }, "metadata": {}, "output_type": "display_data" } ] } }, "3043922c8fa24489ac9b90915dea2733": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "_model_module": "@jupyter-widgets/base", "_model_module_version": "1.2.0", "_model_name": "LayoutModel", "_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "LayoutView", "align_content": null, "align_items": null, "align_self": null, "border": null, "bottom": null, "display": null, "flex": null, "flex_flow": null, "grid_area": null, "grid_auto_columns": null, "grid_auto_flow": null, "grid_auto_rows": null, "grid_column": null, "grid_gap": null, "grid_row": null, "grid_template_areas": null, "grid_template_columns": null, "grid_template_rows": null, "height": null, "justify_content": null, "justify_items": null, "left": null, "margin": null, "max_height": null, "max_width": null, "min_height": null, "min_width": null, "object_fit": null, "object_position": null, "order": null, "overflow": null, "overflow_x": null, "overflow_y": null, "padding": null, "right": null, "top": null, "visibility": null, "width": null } }, "44ddbec8f07043b0bfc2704792c95fd5": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "_model_module": "@jupyter-widgets/base", "_model_module_version": "1.2.0", "_model_name": "LayoutModel", "_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "LayoutView", "align_content": null, "align_items": null, "align_self": null, "border": null, "bottom": null, "display": null, "flex": null, "flex_flow": null, "grid_area": null, "grid_auto_columns": null, "grid_auto_flow": null, "grid_auto_rows": null, "grid_column": null, "grid_gap": null, "grid_row": null, "grid_template_areas": null, "grid_template_columns": null, "grid_template_rows": null, "height": null, "justify_content": null, "justify_items": null, "left": null, "margin": null, "max_height": null, "max_width": null, "min_height": null, "min_width": null, "object_fit": null, "object_position": null, "order": null, "overflow": null, "overflow_x": null, "overflow_y": null, "padding": null, "right": null, "top": null, "visibility": null, "width": null } }, "469d260ca05340caa605caf86ea4fbe5": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_44ddbec8f07043b0bfc2704792c95fd5", "msg_id": "", "outputs": [ { "data": { "text/html": "
🏃  Finishing 'GratingEfficiency'...\n
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%3.8/3.8 kB?0:00:00\n
\n", "text/plain": "\u001b[1;31m↑\u001b[0m \u001b[1;34msimulation.json\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100.0%\u001b[0m • \u001b[32m3.8/3.8 kB\u001b[0m • \u001b[31m?\u001b[0m • \u001b[36m0:00:00\u001b[0m\n" }, "metadata": {}, "output_type": "display_data" } ] } }, "789c3280e5ef4e069653639349a0afcb": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_945bbca8a2764e66946de9140a795b5e", "msg_id": "", "outputs": [ { "data": { "text/html": "
🏃  Starting 'GratingEfficiency'...\n
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🚶  Finishing 'GratingEfficiency'...\n
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🏃  Starting 'GratingEfficiency'...\n
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%16.2/16.2 MB18.3 MB/s0:00:00\n
\n", "text/plain": "\u001b[1;32m↓\u001b[0m \u001b[1;34mmonitor_data.hdf5\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100.0%\u001b[0m • \u001b[32m16.2/16.2 MB\u001b[0m • \u001b[31m18.3 MB/s\u001b[0m • \u001b[36m0:00:00\u001b[0m\n" }, "metadata": {}, "output_type": "display_data" } ] } }, "cbf4fd20fced444fa8d91da438850745": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "_model_module": "@jupyter-widgets/base", "_model_module_version": "1.2.0", "_model_name": "LayoutModel", "_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "LayoutView", "align_content": null, "align_items": null, "align_self": null, "border": null, "bottom": null, "display": null, "flex": null, "flex_flow": null, "grid_area": null, "grid_auto_columns": null, "grid_auto_flow": null, "grid_auto_rows": null, "grid_column": null, "grid_gap": null, "grid_row": null, "grid_template_areas": null, "grid_template_columns": null, "grid_template_rows": null, "height": null, "justify_content": null, "justify_items": null, "left": null, "margin": null, "max_height": null, "max_width": null, "min_height": null, "min_width": null, "object_fit": null, "object_position": null, "order": null, "overflow": null, "overflow_x": null, "overflow_y": null, "padding": null, "right": null, "top": null, "visibility": null, "width": null } }, "cd2e74c6a3fb4e4a96925ddebbf24656": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "_model_module": "@jupyter-widgets/base", "_model_module_version": "1.2.0", "_model_name": "LayoutModel", "_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "LayoutView", "align_content": null, "align_items": null, "align_self": null, "border": null, "bottom": null, "display": null, "flex": null, "flex_flow": null, "grid_area": null, "grid_auto_columns": null, "grid_auto_flow": null, "grid_auto_rows": null, "grid_column": null, "grid_gap": null, "grid_row": null, "grid_template_areas": null, "grid_template_columns": null, "grid_template_rows": null, "height": null, "justify_content": null, "justify_items": null, "left": null, "margin": null, "max_height": null, "max_width": null, "min_height": null, "min_width": null, "object_fit": null, "object_position": null, "order": null, "overflow": null, "overflow_x": null, "overflow_y": null, "padding": null, "right": null, "top": null, "visibility": null, "width": null } }, "f92d1a29fbb5460187c82c6e1b5a8ee2": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "_model_module": "@jupyter-widgets/base", "_model_module_version": "1.2.0", "_model_name": "LayoutModel", "_view_count": null, "_view_module": "@jupyter-widgets/base", "_view_module_version": "1.2.0", "_view_name": "LayoutView", "align_content": null, "align_items": null, "align_self": null, "border": null, "bottom": null, "display": null, "flex": null, "flex_flow": null, "grid_area": null, "grid_auto_columns": null, "grid_auto_flow": null, "grid_auto_rows": null, "grid_column": null, "grid_gap": null, "grid_row": null, "grid_template_areas": null, "grid_template_columns": null, "grid_template_rows": null, "height": null, "justify_content": null, "justify_items": null, "left": null, "margin": null, "max_height": null, "max_width": null, "min_height": null, "min_width": null, "object_fit": null, "object_position": null, "order": null, "overflow": null, "overflow_x": null, "overflow_y": null, "padding": null, "right": null, "top": null, "visibility": null, "width": null } } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }