{
"cells": [
{
"cell_type": "markdown",
"id": "94534c24",
"metadata": {},
"source": [
"# Defining spatially varying index using custom medium"
]
},
{
"cell_type": "markdown",
"id": "10952dec",
"metadata": {},
"source": [
"When a regular `Tidy3D` [Medium](../_autosummary/tidy3d.Medium.html) is assigned to a [Structure](../_autosummary/tidy3d.Structure.html), the refractive index is homogeneous within the geometry. In some cases, such as gradient-index optics component simulations, a spatially varying refractive index distribution is desirable. In principle, this can be achieved by manually dividing the [Structure](../_autosummary/tidy3d.Structure.html) into smaller sub-components and assigning a refractive index value to each component according to the spatial distribution. However, this process can be tedious and error-prone. Fortunately, `Tidy3D`'s [CustomMedium](../_autosummary/tidy3d.CustomMedium.html) can help you achieve this result very conveniently.\n",
"\n",
"In this tutorial, we illustrate how to define structures made of [CustomMedium](../_autosummary/tidy3d.CustomMedium.html) that allow for a customized refractive index spatial profile. An example is an ideal gradient index lens that has flat surfaces but a parabolic distribution of refractive index. The simulation result allows us to examine the focusing capability of the lens. \n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "8f41d7b4",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:26.765393Z",
"iopub.status.busy": "2023-03-27T20:35:26.764928Z",
"iopub.status.idle": "2023-03-27T20:35:27.960558Z",
"shell.execute_reply": "2023-03-27T20:35:27.959978Z"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import tidy3d as td\n",
"from tidy3d import web\n",
"from tidy3d import ScalarFieldDataArray\n",
"from tidy3d import PermittivityDataset\n"
]
},
{
"cell_type": "markdown",
"id": "97b501eb",
"metadata": {},
"source": [
"The lens is designed to work at 1 $\\mu m$ wavelength."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "7d00a9e8",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:27.963084Z",
"iopub.status.busy": "2023-03-27T20:35:27.962785Z",
"iopub.status.idle": "2023-03-27T20:35:27.980424Z",
"shell.execute_reply": "2023-03-27T20:35:27.979863Z"
}
},
"outputs": [],
"source": [
"lda0 = 1 # central wavelength\n",
"\n",
"freq0 = td.C_0 / lda0 # central frequency\n"
]
},
{
"cell_type": "markdown",
"id": "34f858f8",
"metadata": {},
"source": [
"## Custom medium setup"
]
},
{
"cell_type": "markdown",
"id": "f66c7370",
"metadata": {},
"source": [
"With [CustomMedium](../_autosummary/tidy3d.CustomMedium.html), one can customize the spatial profile of refractive index inside a structure. The spatial profile is defined with [ScalarFieldDataAarray](../_autosummary/tidy3d.ScalarFieldDataArray) where we provide scalar data such as refractive index and labeled coordinates. Below, let's see how to define a flat lens whose index of refraction follows $n(r)=n_0(1-Ar^2)$, where $r$ is the radial distance to the $z$-axis. In this particular example, we study a lens of 20 $\\mu m$ radius and 10 $\\mu m$ thickness.\n",
"\n",
"First, we define the spatial and frequency grids. The refractive index is invariant alone $z$-axis, and varies in the $x$-$y$ plane. For the uniform $z$-axis, we only need to supply one grid point since [CustomMedium](../_autosummary/tidy3d.CustomMedium.html) will automatically generate uniform profiles along the axis where a single grid point is supplied. In the $x$ and $y$ dimensions, we set 100 grid points to fully resolve the refractive index variation. Finally, for the frequency grid, we only support dispersiveless medium at the moment, so we just define the frequency of interest."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "2732a9df",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:27.982484Z",
"iopub.status.busy": "2023-03-27T20:35:27.982331Z",
"iopub.status.idle": "2023-03-27T20:35:28.000798Z",
"shell.execute_reply": "2023-03-27T20:35:27.999321Z"
}
},
"outputs": [],
"source": [
"Nx, Ny, Nz, Nf = 100, 100, 1, 1 # number of grid points along each dimension\n",
"\n",
"r = 20 # radius of the lens, unit: micron\n",
"t = 10 # thickness of the lens, unit: micron\n",
"\n",
"# The coordinate for the refractive index data that includes x, y, z, and frequency\n",
"# Note: when only one coordinate is supplied along an axis, it means the medium is uniform along this axis.\n",
"X = np.linspace(-r, r, Nx) # x grid\n",
"Y = np.linspace(-r, r, Ny) # y grid\n",
"Z = [0] # z grid\n",
"freqs = [freq0] # frequency grid\n"
]
},
{
"cell_type": "markdown",
"id": "9e74eb4b",
"metadata": {},
"source": [
"Next, we define a 4-dimensional array that stores the refractive index."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "86a784fc",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:28.006357Z",
"iopub.status.busy": "2023-03-27T20:35:28.005983Z",
"iopub.status.idle": "2023-03-27T20:35:28.033893Z",
"shell.execute_reply": "2023-03-27T20:35:28.033289Z"
}
},
"outputs": [],
"source": [
"# define coordinate array\n",
"x_mesh, y_mesh, z_mesh, freq_mesh = np.meshgrid(X, Y, Z, freqs, indexing=\"ij\")\n",
"r_mesh = np.sqrt(x_mesh**2 + y_mesh**2) # radial distance\n",
"\n",
"# index of refraction array\n",
"# assign the refractive index value to the array according to the desired profile\n",
"n_data = np.ones((Nx, Ny, Nz, Nf))\n",
"n0 = 2\n",
"A = 1e-3\n",
"n_data[r_mesh <= r] = n0 * (1 - A * r_mesh[r_mesh <= r] ** 2)\n"
]
},
{
"cell_type": "markdown",
"id": "7a9f73ff",
"metadata": {},
"source": [
"Finally, we convert the numpy array to a [ScalarFieldDataArray](../_autosummary/tidy3d.ScalarFieldDataArray.html) that labels the coordinate."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "c2bafbb5",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:28.035892Z",
"iopub.status.busy": "2023-03-27T20:35:28.035743Z",
"iopub.status.idle": "2023-03-27T20:35:28.052838Z",
"shell.execute_reply": "2023-03-27T20:35:28.052278Z"
}
},
"outputs": [],
"source": [
"# convert to dataset array\n",
"n_dataset = ScalarFieldDataArray(n_data, coords=dict(x=X, y=Y, z=Z, f=freqs))\n"
]
},
{
"cell_type": "markdown",
"id": "78ebb07c",
"metadata": {},
"source": [
"### Defining CustomMedium in three ways\n",
"Here, we will illustrate defining custom medium in three different ways:\n",
"1. Using classmethod [td.CustomMedium.from_nk](https://docs.flexcompute.com/projects/tidy3d/en/pre/1.9.0/_autosummary/tidy3d.CustomMedium.html#tidy3d.CustomMedium.fron_nk) when refractive index and extinction coefficients are readily available.\n",
"2. Using classmethod [td.CustomMedium.from_eps_raw](https://docs.flexcompute.com/projects/tidy3d/en/pre/1.9.0/_autosummary/tidy3d.CustomMedium.html#tidy3d.CustomMedium.fron_eps_raw) to supply complex-valued permittivity data.\n",
"3. Define permittivity for each component separately via [PermittivityDataset](../_autosummary/tidy3d.PermittivityDataset.html) to be supplied to `td.CustomMedium`.\n",
"\n",
"In any of the three ways, you can optionally define how the permittivity is **interpolated** to Yee-grid with `interp_method` that can take the value of \"linear\" or \"nearest\". The default value is \"nearest\". If the custom medium is applied to a geometry larger than the custom medium's grid range, **extrapolation** is automatically applied for Yee grids outside the supplied coordinate region. When the extrapolated value is smaller (greater) than the minimal (maximal) of the supplied data, the extrapolated value will take the minimal (maximal) of the supplied data."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f106ecd6",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:28.054723Z",
"iopub.status.busy": "2023-03-27T20:35:28.054520Z",
"iopub.status.idle": "2023-03-27T20:35:28.087820Z",
"shell.execute_reply": "2023-03-27T20:35:28.087377Z"
}
},
"outputs": [],
"source": [
"## Three equivalent ways of defining custom medium for the lens\n",
"\n",
"# define custom medium with n/k data\n",
"mat_custom1 = td.CustomMedium.from_nk(n_dataset, interp_method=\"nearest\")\n",
"\n",
"# define custom medium with permittivity data\n",
"eps_dataset = ScalarFieldDataArray(n_dataset**2, coords=dict(x=X, y=Y, z=Z, f=freqs))\n",
"mat_custom2 = td.CustomMedium.from_eps_raw(eps_dataset, interp_method=\"nearest\")\n",
"\n",
"# define each component of permittivity via \"PermittivityDataset\"\n",
"eps_xyz_dataset = PermittivityDataset(\n",
" eps_xx=eps_dataset, eps_yy=eps_dataset, eps_zz=eps_dataset\n",
")\n",
"mat_custom3 = td.CustomMedium(eps_dataset=eps_xyz_dataset, interp_method=\"nearest\")\n"
]
},
{
"cell_type": "markdown",
"id": "bfcee3d6",
"metadata": {},
"source": [
"## Simulation setup\n",
"### Define Lens Structure "
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "104ff4f5",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:28.089767Z",
"iopub.status.busy": "2023-03-27T20:35:28.089626Z",
"iopub.status.idle": "2023-03-27T20:35:28.107037Z",
"shell.execute_reply": "2023-03-27T20:35:28.106473Z"
}
},
"outputs": [],
"source": [
"# define the lens structure as a box\n",
"lens = td.Structure(\n",
" geometry=td.Box(center=(0, 0, t / 2), size=(td.inf, td.inf, t)), medium=mat_custom1\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "dc23cbf0",
"metadata": {},
"source": [
"### Define a Source and Monitor"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "19f65aa9",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:28.108943Z",
"iopub.status.busy": "2023-03-27T20:35:28.108807Z",
"iopub.status.idle": "2023-03-27T20:35:28.126853Z",
"shell.execute_reply": "2023-03-27T20:35:28.126269Z"
}
},
"outputs": [],
"source": [
"# define a plane wave source\n",
"plane_wave = td.PlaneWave(\n",
" source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
" size=(td.inf, td.inf, 0),\n",
" center=(0, 0, -lda0),\n",
" direction=\"+\",\n",
" pol_angle=0,\n",
")\n",
"\n",
"\n",
"# define a field monitor in the xz plane at y=0\n",
"monitor_field_xz = td.FieldMonitor(\n",
" center=[0, 0, 0], size=[td.inf, 0, td.inf], freqs=[freq0], name=\"field_xz\"\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "403be13a",
"metadata": {},
"source": [
"### Define a Simulation "
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "2a9b9568",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:28.128871Z",
"iopub.status.busy": "2023-03-27T20:35:28.128736Z",
"iopub.status.idle": "2023-03-27T20:35:28.185178Z",
"shell.execute_reply": "2023-03-27T20:35:28.184601Z"
}
},
"outputs": [],
"source": [
"# simulation domain size\n",
"Lx, Ly, Lz = 2 * r, 2 * r, 5 * t\n",
"sim_size = (Lx, Ly, Lz)\n",
"\n",
"run_time = 2e-12 # simulation run time\n",
"\n",
"# define simulation\n",
"sim = td.Simulation(\n",
" center=(0, 0, Lz / 2 - lda0),\n",
" size=sim_size,\n",
" grid_spec=td.GridSpec.auto(min_steps_per_wvl=10, wavelength=lda0),\n",
" structures=[lens],\n",
" sources=[plane_wave],\n",
" monitors=[monitor_field_xz],\n",
" run_time=run_time,\n",
" boundary_spec=td.BoundarySpec.all_sides(\n",
" boundary=td.PML()\n",
" ), # pml is applied in all boundaries\n",
" symmetry=(\n",
" -1,\n",
" 1,\n",
" 0,\n",
" ), # symmetry is used such that only a quarter of the structure needs to be modeled.\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "a7884ffa",
"metadata": {},
"source": [
"### Visualize the Simulation and Gradient Index Distribution "
]
},
{
"cell_type": "markdown",
"id": "4b0b20fd",
"metadata": {},
"source": [
"We can use the `plot_eps` method of [Simulation](../_autosummary/tidy3d.Simulation.html) to visualize the simulation setup as well as the permittivity distribution. \n",
"\n",
"First, plot the $yz$ plane at $x$=0."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "c52645ee",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:28.187278Z",
"iopub.status.busy": "2023-03-27T20:35:28.187135Z",
"iopub.status.idle": "2023-03-27T20:35:29.228619Z",
"shell.execute_reply": "2023-03-27T20:35:29.228131Z"
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sim.plot_eps(x=0)\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "bdc5934d",
"metadata": {},
"source": [
"Similarly, plot the $xy$ plane at $z$=0. The spatially varying permittivity is clearly observed."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "b3820e26",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:29.230682Z",
"iopub.status.busy": "2023-03-27T20:35:29.230471Z",
"iopub.status.idle": "2023-03-27T20:35:30.035580Z",
"shell.execute_reply": "2023-03-27T20:35:30.035085Z"
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sim.plot_eps(z=t / 2)\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "6d4992a4",
"metadata": {},
"source": [
"### Submit Simulation Job "
]
},
{
"cell_type": "markdown",
"id": "9c1086db",
"metadata": {},
"source": [
"Submit the simulation job to the server."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "b1959a41",
"metadata": {
"execution": {
"iopub.execute_input": "2023-03-27T20:35:30.037707Z",
"iopub.status.busy": "2023-03-27T20:35:30.037504Z",
"iopub.status.idle": "2023-03-27T20:36:45.493269Z",
"shell.execute_reply": "2023-03-27T20:36:45.492632Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
[13:35:43] Created task 'gradient_index_lens' with task_id webapi.py:139\n",
"'fdve-d7c066cb-d005-4355-bd29-94e161114eb5v1'. \n",
"
[13:36:07] Maximum FlexCredit cost: 0.676. Use 'web.real_cost(task_id)' to get webapi.py:286\n",
"the billed FlexCredit cost after a simulation run. \n",
"
\n"
],
"text/plain": [
"\u001b[2;36m[13:36:07]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.676\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get \u001b]8;id=365603;file:///home/weiliang/Documents/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=140425;file:///home/weiliang/Documents/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
"\u001b[2;36m \u001b[0mthe billed FlexCredit cost after a simulation run. \u001b[2m \u001b[0m\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"