{ "cells": [ { "cell_type": "markdown", "id": "1ac672f7-3538-44d7-8676-cd4b96bb663e", "metadata": {}, "source": [ "# Fully anisotropic materials\n", "\n", "Tidy3D's capabilities include modeling of non-dispersive [fully anisotropic materials](../_autosummary/tidy3d.FullyAnisotropicMedium.html). In this tutorial we explain how to set up and run a simulation containing such materials. Specifically, we will consider scattering of a plane wave from fully anisotropic dielectric spheres and compare results to an equivalent setup containing only diagonally anisotropic materials." ] }, { "cell_type": "markdown", "id": "df24bf37-66f9-40a9-90c6-015c36e5c36c", "metadata": {}, "source": [ "## Simulation setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "c0c17554-fd08-40da-8553-f1fda17b34c1", "metadata": {}, "outputs": [], "source": [ "# standard python imports\n", "import numpy as np\n", "import xarray as xr\n", "import matplotlib.pylab as plt\n", "\n", "# tidy3D import\n", "import tidy3d as td\n", "from tidy3d.constants import C_0\n", "import tidy3d.web as web" ] }, { "cell_type": "markdown", "id": "09fefe38-3b4f-4d74-b88f-a75853f16778", "metadata": {}, "source": [ "We start with defining the simulation domain as a cube with side length of 1.6 um, and selecting 11 sample frequencies in the vicinity of the wavelength of interest $\\lambda = 1$ um. " ] }, { "cell_type": "code", "execution_count": 2, "id": "b055ec54-d050-4dc9-8bb6-d24c76eedde5", "metadata": {}, "outputs": [], "source": [ "sim_size = (1.6, 1.6, 1.6)\n", "\n", "wvl_um = 1\n", "freq0 = td.C_0 / wvl_um\n", "fwidth = freq0 / 10\n", "num_freqs = 11\n", "freqs = np.linspace(freq0 - fwidth / 2, freq0 + fwidth / 2, num_freqs)\n", "find0 = num_freqs // 2\n", "\n", "run_time = 10 / fwidth" ] }, { "cell_type": "markdown", "id": "9d1d6e99-0e1b-42bf-a797-8c7048cb9b0d", "metadata": {}, "source": [ "Next we define main permittivity and conductivity components of medium we would like to simulate." ] }, { "cell_type": "code", "execution_count": 3, "id": "dae9d54c-dced-4bce-afc3-f251ffea47be", "metadata": {}, "outputs": [], "source": [ "permittivity_main = (15, 10, 5)\n", "conductivity_main = (0.01, 0.02, 0.03)" ] }, { "cell_type": "markdown", "id": "a5f0e6bb-ff4e-4d4a-bddc-0e3ef8c910d8", "metadata": {}, "source": [ "We will create 3 different anisotropic media to use and compare in 3 different simulations. First, a diagonally anisotropic medium that will be used in a reference simulation is created using the familiar [AnisotropicMedium](../_autosummary/tidy3d.AnisotropicMedium.html) class." ] }, { "cell_type": "code", "execution_count": 4, "id": "f3201622-42b9-4a93-b4bc-a5dd46e8c5b2", "metadata": {}, "outputs": [], "source": [ "# diagonally anisotropic material\n", "medium_diag = td.AnisotropicMedium(\n", " xx=td.Medium(permittivity=permittivity_main[0], conductivity=conductivity_main[0]),\n", " yy=td.Medium(permittivity=permittivity_main[1], conductivity=conductivity_main[1]),\n", " zz=td.Medium(permittivity=permittivity_main[2], conductivity=conductivity_main[2]),\n", ")" ] }, { "cell_type": "markdown", "id": "7457973b-2bb3-4083-9a67-cc88312515a4", "metadata": {}, "source": [ "Next, we would like to create two fully anisotropic media obtained as rotations of the above diagonally anisotropic medium around x and z axes, respectively. Fully anisotropic materials are created using class [FullyAnisotropicMedium](../_autosummary/tidy3d.FullyAnisotropicMedium.html), which requires full permittivity and conductivity tensor during initialization. Tidy3D provides a convenience class [RotationAroundAxis](../_autosummary/tidy3d.RotationAroundAxis.html) that can be used for transformation of material property tensors. Using it we can define a fully anisotropic medium in two ways. First, one can use this class directly to perform rotation of material property tensors, and then use the resulting tensors to initialize a `FullyAnisotropicMedium` as following." ] }, { "cell_type": "code", "execution_count": 5, "id": "008c5dd3-acc1-42bb-b818-a058ae683cb0", "metadata": {}, "outputs": [], "source": [ "# Fully anisotropic media obtained as a rotation around x axis by angle phi\n", "phi = np.pi / 3\n", "\n", "# create diagonal tensor\n", "permittivity_phi = np.diag(permittivity_main)\n", "conductivity_phi = np.diag(conductivity_main)\n", "\n", "# create rotation around axis\n", "rotation_around_x = td.RotationAroundAxis(axis=(1, 0, 0), angle=phi)\n", "\n", "# transform material property tensors\n", "permittivity_phi = rotation_around_x.rotate_tensor(permittivity_phi)\n", "conductivity_phi = rotation_around_x.rotate_tensor(conductivity_phi)\n", "\n", "# define a fully anisotropic medium\n", "medium_phi = td.FullyAnisotropicMedium(\n", " permittivity=permittivity_phi, conductivity=conductivity_phi\n", ")" ] }, { "cell_type": "markdown", "id": "73074a7a-69af-4e2f-8feb-411e5f29fa47", "metadata": {}, "source": [ "The alternative way is to use a shortcut class method `FullyAnisotropicMedium.from_diagonal()` that performs the necessary tensor transformations internally. Note that this class method follows the signature of `AnisotropicMedium` class, that is, it expects main components of material properties defined as `Medium`'s." ] }, { "cell_type": "code", "execution_count": 6, "id": "0e0f9878-3e73-4264-bd4c-6e96a40b4f2c", "metadata": {}, "outputs": [], "source": [ "# Fully anisotropic media obtained as a rotation around z axis by angle theta\n", "theta = np.pi / 7\n", "\n", "# create rotation around axis\n", "rotation_around_z = td.RotationAroundAxis(axis=(0, 0, 1), angle=theta)\n", "\n", "# define a fully anisotropic medium as a transformation of diagonally anisotropic medium\n", "medium_theta = td.FullyAnisotropicMedium.from_diagonal(\n", " xx=td.Medium(permittivity=permittivity_main[0], conductivity=conductivity_main[0]),\n", " yy=td.Medium(permittivity=permittivity_main[1], conductivity=conductivity_main[1]),\n", " zz=td.Medium(permittivity=permittivity_main[2], conductivity=conductivity_main[2]),\n", " rotation=rotation_around_z,\n", ")" ] }, { "cell_type": "markdown", "id": "a7d8ffab-2b66-4f87-a896-6d5cf5d20310", "metadata": {}, "source": [ "One can confirm that the three created media have identical main components by visualizing their complex refractive indexes using the built-in function `.plot()`. Note that in case of fully anisotropic materials the direction of each main component is provided in figure legend as they are no longer aligned with Cartesian directions." ] }, { "cell_type": "code", "execution_count": 7, "id": "3a638193-a18a-48f0-9958-ea978d3a5fc4", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Visualize material properties\n", "fig, ax = plt.subplots(1, 3, figsize=(14, 4))\n", "medium_diag.plot(freqs, ax=ax[0])\n", "medium_phi.plot(freqs, ax=ax[1])\n", "medium_theta.plot(freqs, ax=ax[2])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "20fe3945-ee48-4320-a138-504f39d5759c", "metadata": {}, "source": [ "Create three spheres of the same size but made of different anisotropic materials." ] }, { "cell_type": "code", "execution_count": 8, "id": "cef34221-ef0c-48f8-ac31-002dc43e1400", "metadata": {}, "outputs": [], "source": [ "sphere_diag = td.Structure(geometry=td.Sphere(center=(0, 0, 0), radius=0.3), medium=medium_diag)\n", "sphere_phi = sphere_diag.updated_copy(medium=medium_phi)\n", "sphere_theta = sphere_diag.updated_copy(medium=medium_theta)" ] }, { "cell_type": "markdown", "id": "cc8d5b94-6889-474f-a877-5b853ce8e801", "metadata": {}, "source": [ "To set up three equivalent simulations we use [TFSF](../_autosummary/tidy3d.TFSF.html) sources injecting plane waves whose propagation fronts are rotated in the same way as the material properties of the three anisotropic media." ] }, { "cell_type": "code", "execution_count": 9, "id": "0628e8e8-acb2-493f-a024-2cfa81c18b87", "metadata": {}, "outputs": [], "source": [ "source_diag = td.TFSF(\n", " center=(0, 0, 0),\n", " size=(1.1, 1.1, 1.1),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n", " injection_axis=0,\n", " direction=\"+\",\n", " name=\"tfsf\",\n", " angle_phi=0,\n", " angle_theta=0,\n", " pol_angle=0,\n", ")\n", "\n", "source_phi = source_diag.updated_copy(angle_phi=phi)\n", "source_theta = source_diag.updated_copy(angle_theta=theta)" ] }, { "cell_type": "markdown", "id": "745a5191-4bdb-4443-b116-9743a5f692f1", "metadata": {}, "source": [ "For a quantitative comparison of results of the three equivalent simulation we monitor total scattered flux from the sphere and field distribution in two orthogonal planes." ] }, { "cell_type": "code", "execution_count": 10, "id": "b80a92f2-da6d-4315-b0f6-380ab2fe8a50", "metadata": {}, "outputs": [], "source": [ "mnt_flux = td.FluxMonitor(center=(0, 0, 0), size=(1.3, 1.3, 1.3), freqs=freqs, name=\"flux\")\n", "mnt_field_yz = td.FieldMonitor(center=(0, 0, 0), size=(0, td.inf, td.inf), freqs=freqs, name=\"field_yz\")\n", "mnt_field_xy = td.FieldMonitor(center=(0, 0, 0), size=(td.inf, td.inf, 0), freqs=freqs, name=\"field_xy\")" ] }, { "cell_type": "markdown", "id": "5d30d598-378f-455a-8dfe-1596965f446b", "metadata": {}, "source": [ "PML boundary conditions are placed on each side of the simulation domain and a simple uniform grid is used for grid discretization. " ] }, { "cell_type": "code", "execution_count": 11, "id": "5654a142-b8b1-40f2-a2f4-096214c53fb8", "metadata": {}, "outputs": [], "source": [ "boundary_spec = td.BoundarySpec.all_sides(boundary=td.PML())\n", "grid_spec = td.GridSpec.uniform(dl=0.005)" ] }, { "cell_type": "markdown", "id": "1527df85-f156-4695-96d1-0eab38db163e", "metadata": {}, "source": [ "Combining all the components defined above we create three equivalent simulations which are rotations of each other." ] }, { "cell_type": "code", "execution_count": 12, "id": "bf05eb7a-cf2c-48dc-bd67-fe6bdfa03def", "metadata": {}, "outputs": [], "source": [ "sim_diag = td.Simulation(\n", " center=(0, 0, 0),\n", " size=sim_size,\n", " grid_spec=grid_spec,\n", " structures=[sphere_diag],\n", " sources=[source_diag],\n", " monitors=[mnt_flux, mnt_field_yz, mnt_field_xy],\n", " run_time=run_time,\n", " boundary_spec=boundary_spec,\n", ")\n", "\n", "sim_phi = sim_diag.updated_copy(structures=[sphere_phi], sources=[source_phi])\n", "sim_theta = sim_diag.updated_copy(structures=[sphere_theta], sources=[source_theta])" ] }, { "cell_type": "markdown", "id": "9756ec80-8f03-485f-9dd6-b5074ddeee7d", "metadata": {}, "source": [ "Visualize simulation setups for confirmation." ] }, { "cell_type": "code", "execution_count": 13, "id": "29fe317a-245a-46e3-9705-ad2b7bbfef9b", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 3, figsize=(10, 3))\n", "sim_diag.plot(z=0, ax=ax[0])\n", "sim_phi.plot(z=0, ax=ax[1])\n", "sim_theta.plot(z=0, ax=ax[2])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "73a1012d-aab5-40c4-bc65-04654345eeea", "metadata": { "tags": [] }, "source": [ "## Results" ] }, { "cell_type": "markdown", "id": "3f885dcd-b024-4046-9768-014246e13f34", "metadata": {}, "source": [ "Submit and run simulations on the server." ] }, { "cell_type": "code", "execution_count": 14, "id": "c21101cb-fcb4-4693-8948-37a2b0cafe42", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
[16:58:59] Created task 'fully_anisotropic_diag' with task_id                                         webapi.py:186\n",
       "           'fdve-78d231c2-61bf-4a03-b57b-7f61b6e14d18v1'.                                                          \n",
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       "           8v1'.                                                                                                   \n",
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[16:59:02] status = queued                                                                            webapi.py:321\n",
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[16:59:09] status = preprocess                                                                        webapi.py:315\n",
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[16:59:16] Maximum FlexCredit cost: 0.436. Use 'web.real_cost(task_id)' to get the billed FlexCredit  webapi.py:338\n",
       "           cost after a simulation run.                                                                            \n",
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           starting up solver                                                                         webapi.py:342\n",
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           running solver                                                                             webapi.py:352\n",
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[17:00:43] loading SimulationData from data/simulation_data_diag.hdf5                                 webapi.py:568\n",
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[17:00:43] Created task 'fully_anisotropic_phi' with task_id                                          webapi.py:186\n",
       "           'fdve-23947891-340a-4ea7-8540-86162eeb55d9v1'.                                                          \n",
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       "           9v1'.                                                                                                   \n",
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[17:00:52] status = preprocess                                                                        webapi.py:315\n",
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[17:00:58] Maximum FlexCredit cost: 0.706. Use 'web.real_cost(task_id)' to get the billed FlexCredit  webapi.py:338\n",
       "           cost after a simulation run.                                                                            \n",
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           starting up solver                                                                         webapi.py:342\n",
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           running solver                                                                             webapi.py:352\n",
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[17:01:43] early shutoff detected, exiting.                                                           webapi.py:366\n",
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[17:02:09] status = success                                                                           webapi.py:390\n",
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[17:02:27] loading SimulationData from data/simulation_data_phi.hdf5                                  webapi.py:568\n",
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[17:02:28] Created task 'fully_anisotropic_theta' with task_id                                        webapi.py:186\n",
       "           'fdve-169281b2-d8df-4764-a7eb-1e815dd6b28cv1'.                                                          \n",
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       "           'https://tidy3d.simulation.cloud/workbench?taskId=fdve-169281b2-d8df-4764-a7eb-1e815dd6b28              \n",
       "           cv1'.                                                                                                   \n",
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[17:02:29] status = queued                                                                            webapi.py:321\n",
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[17:02:36] status = preprocess                                                                        webapi.py:315\n",
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[17:02:43] Maximum FlexCredit cost: 0.706. Use 'web.real_cost(task_id)' to get the billed FlexCredit  webapi.py:338\n",
       "           cost after a simulation run.                                                                            \n",
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           starting up solver                                                                         webapi.py:342\n",
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           running solver                                                                             webapi.py:352\n",
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[17:03:30] status = postprocess                                                                       webapi.py:383\n",
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[17:03:49] status = success                                                                           webapi.py:390\n",
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[17:04:09] loading SimulationData from data/simulation_data_theta.hdf5                                webapi.py:568\n",
       "
\n" ], "text/plain": [ "\u001b[2;36m[17:04:09]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data_theta.hdf5 \u001b]8;id=856912;file:///home/daniil/Code/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=903943;file:///home/daniil/Code/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#568\u001b\\\u001b[2m568\u001b[0m\u001b]8;;\u001b\\\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim_data_diag = web.run(simulation=sim_diag, task_name=\"fully_anisotropic_diag\", path=\"data/simulation_data_diag.hdf5\", verbose=True)\n", "sim_data_phi = web.run(simulation=sim_phi, task_name=\"fully_anisotropic_phi\", path=\"data/simulation_data_phi.hdf5\", verbose=True)\n", "sim_data_theta = web.run(simulation=sim_theta, task_name=\"fully_anisotropic_theta\", path=\"data/simulation_data_theta.hdf5\", verbose=True)" ] }, { "cell_type": "markdown", "id": "9446b3fe-0247-4f52-bd0a-0055bb3d6af3", "metadata": {}, "source": [ "To confirm that the three simulation produces close results we first consider the total scattered flux from the sphere. The slight difference in obtained results is attributed to the fact that currently Tidy3D does not support subpixel averaging for fully anisotropic materials. " ] }, { "cell_type": "code", "execution_count": 15, "id": "0fe64fe3-fce0-44f5-8135-5079b8b60103", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# retrive flux values from flux monitor\n", "flux_diag = sim_data_diag[\"flux\"].flux\n", "flux_phi = sim_data_phi[\"flux\"].flux\n", "# scale power by injection angle\n", "flux_theta = sim_data_theta[\"flux\"].flux * np.cos(theta)\n", "\n", "# visualize\n", "flux_diag.plot()\n", "flux_phi.plot()\n", "flux_theta.plot()\n", "plt.legend([\"diag\", \"phi\", \"theta\"])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ee1cbf65-a46d-4bfe-8d98-e197d68e99e8", "metadata": {}, "source": [ "Now we look at the angular field intensity distributions around the sphere at several distances from the sphere's center." ] }, { "cell_type": "code", "execution_count": 16, "id": "11d18c58-8fbf-4ed6-9cf2-82ac3b958933", "metadata": {}, "outputs": [], "source": [ "# field sample locations\n", "sample_radius = [0.1, 0.2, 0.4, 0.5]\n", "sample_angle = np.linspace(0, 2 * np.pi, 100)" ] }, { "cell_type": "markdown", "id": "520a5422-5d55-44a7-9306-fde5dbabf8d6", "metadata": {}, "source": [ "When comparing the reference (diagonally anisotropic) simulation with the simulation obtained by rotation around $x$ axis we use the fact that field distributions must coincide in the $yz$ plane when appropriately rotated." ] }, { "cell_type": "code", "execution_count": 17, "id": "7b2bdf9c-fc8d-4e02-b198-fb8fe179d56a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get field intensity distribution at central frequency\n", "int_diag = sim_data_diag.get_intensity(\"field_yz\").isel(x=0, f=find0)\n", "int_full = sim_data_phi.get_intensity(\"field_yz\").isel(x=0, f=find0)\n", "\n", "fig, ax = plt.subplots(len(sample_radius), 1, constrained_layout=True, figsize=(8, 8))\n", "\n", "for i, r in enumerate(sample_radius):\n", " # sample points in reference simulation\n", " y_diag = xr.DataArray(r * np.cos(sample_angle), dims=\"u\")\n", " z_diag = xr.DataArray(r * np.sin(sample_angle), dims=\"u\")\n", "\n", " # rotated sample points in fully anisotropic simulation\n", " y_full = xr.DataArray(r * np.cos(sample_angle + phi), dims=\"u\")\n", " z_full = xr.DataArray(r * np.sin(sample_angle + phi), dims=\"u\")\n", "\n", " # interpolate at sample points\n", " int_sampled_diag = int_diag.interp(y=y_diag, z=z_diag)\n", " int_sampled_full = int_full.interp(y=y_full, z=z_full)\n", "\n", " # plot comparisons\n", " ax[i].plot(sample_angle, int_sampled_diag.data)\n", " ax[i].plot(sample_angle, int_sampled_full.data)\n", " ax[i].set_xlabel(\"Angle [rad]\")\n", " ax[i].legend([\"Reference\", \"Fully Anisotropic\"])\n", " ax[i].set_title(f\"Electric field intensity at r = {r}\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f0c127cd-a5b1-4acb-84a5-ab8abf5f8d78", "metadata": {}, "source": [ "When comparing the reference (diagonally anisotropic) simulation with the simulation obtained by rotation around $z$ axis we use the fact that field distributions must coincide in the $xy$ plane when appropriately rotated." ] }, { "cell_type": "code", "execution_count": 18, "id": "2dd32b99-0d62-479a-b77f-a9d2513293b2", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get field intensity distribution at central frequency\n", "int_diag = sim_data_diag.get_intensity(\"field_xy\").isel(z=0, f=find0)\n", "# scale power by the injection angle\n", "int_full = sim_data_theta.get_intensity(\"field_xy\").isel(z=0, f=find0) * np.cos(theta)\n", "\n", "fig, ax = plt.subplots(len(sample_radius), 1, constrained_layout=True, figsize=(8, 8))\n", "\n", "for i, r in enumerate(sample_radius):\n", " # sample points in reference simulation\n", " x_diag = xr.DataArray(r * np.cos(sample_angle), dims=\"u\")\n", " y_diag = xr.DataArray(r * np.sin(sample_angle), dims=\"u\")\n", "\n", " # rotated sample points in fully anisotropic simulation\n", " x_full = xr.DataArray(r * np.cos(sample_angle + theta), dims=\"u\")\n", " y_full = xr.DataArray(r * np.sin(sample_angle + theta), dims=\"u\")\n", "\n", " # interpolate at sample points\n", " int_sampled_diag = int_diag.interp(x=x_diag, y=y_diag)\n", " int_sampled_full = int_full.interp(x=x_full, y=y_full)\n", "\n", " # plot comparisons\n", " ax[i].plot(sample_angle, int_sampled_diag.data)\n", " ax[i].plot(sample_angle, int_sampled_full.data)\n", " ax[i].set_xlabel(\"Angle [rad]\")\n", " ax[i].legend([\"Reference\", \"Fully Anisotropic\"])\n", " ax[i].set_title(f\"Electric field intensity at r = {r}\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2eef642d-a73e-4a4a-ae8b-91be1924c717", "metadata": {}, "source": [ "Again, we see that equivalent simulations produce very close results, and the small differences are attributed to the lack of subpixel averaging for fully anisotropic materials." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }