diff --git a/Autograd25WaveguideCrossing.ipynb b/Autograd25WaveguideCrossing.ipynb new file mode 100644 index 00000000..5d063da9 --- /dev/null +++ b/Autograd25WaveguideCrossing.ipynb @@ -0,0 +1,1926 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "18c8ebd2-739f-4821-ad99-864c433014df", + "metadata": {}, + "source": [ + "# Topology optimization of a waveguide crossing\n", + "\n", + "In this example, we will walk you through performing a simple inverse design optimization of a 3D waveguide crossing.\n", + "\n", + "In this example, we'll be using a pixelated material grid to define the design region. However, one could also use shape parameterization to solve the same problem. You can see how this is done for a waveguide bend [here](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd8WaveguideBend/).\n", + "\n", + "If you are unfamiliar with inverse design, we also recommend our [intro to inverse design tutorials](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/) and our [primer on automatic differentiation with tidy3d](https://www.flexcompute.com/tidy3d/examples/notebooks/AdjointPlugin1Intro/).\n", + "\n", + "Before using Tidy3D, you must first [sign up](https://tidy3d.simulation.cloud/signup) for a user account. See [this link](https://docs.flexcompute.com/projects/tidy3d/en/latest/install.html) for installation instructions.\n", + "\n", + "In this tutorial we are demonstrating the smoothed projection by Alec Hammond et al. from the paper \"Unifying and accelerating level-set and density-based topology optimization by subpixel-smoothed projection\". You can find the article [here](https://opg.optica.org/oe/fulltext.cfm?uri=oe-33-16-33620).\n", + "\n", + "\"Schematic\n", + "\n", + "\n", + "## Setup\n", + "\n", + "First we import the packages we need and also define some of the global parameters that define our problem.\n", + "\n", + "> Important note: we use `autograd.numpy` instead of regular `numpy`, this allows `numpy` functions to be differentiable. If one forgets this step, the error may be a bit opaque, just a heads up." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "8e90922d-93e9-4f35-bf11-167a891a6a19", + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "\n", + "import autograd\n", + "import autograd.numpy as np\n", + "import matplotlib.pylab as plt\n", + "import optax\n", + "import tidy3d as td\n", + "import tidy3d.web as web\n", + "from tidy3d import config\n", + "from tidy3d.plugins.autograd.invdes.filters import ConicFilter\n", + "from tidy3d.plugins.autograd.invdes.parametrizations import initialize_params_from_simulation\n", + "from tidy3d.plugins.autograd.invdes.projections import smoothed_projection\n", + "from tidy3d.plugins.autograd.invdes.symmetries import symmetrize_diagonal, symmetrize_mirror\n", + "\n", + "config.simulation.use_local_subpixel = False" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "76bbc17e-4589-4285-acf3-f2ad2847cfd6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "pixel_size=np.float64(0.01)\n", + "floor_radius=15\n", + "discrete_radius=15\n", + "discrete_num_pixels=300\n" + ] + } + ], + "source": [ + "# spectral parameters\n", + "wvl0 = 1.0\n", + "freq0 = td.C_0 / wvl0\n", + "\n", + "# geometric parameters\n", + "eps_mat = 4.0\n", + "wg_width = 0.5 * wvl0\n", + "wg_length = 1.0 * wvl0\n", + "design_size = 3 * wvl0\n", + "thick = 0.2 * wvl0\n", + "\n", + "# resolution\n", + "min_steps_per_wvl = 50\n", + "pixel_size = wvl0 / (min_steps_per_wvl * np.sqrt(eps_mat))\n", + "print(f\"{pixel_size=}\")\n", + "\n", + "radius = 0.150\n", + "floor_radius = math.floor(radius / pixel_size)\n", + "discrete_radius = floor_radius if floor_radius % 2 == 1 else floor_radius + 1\n", + "discrete_num_pixels = round(design_size / pixel_size)\n", + "print(f\"{floor_radius=}\")\n", + "print(f\"{discrete_radius=}\")\n", + "print(f\"{discrete_num_pixels=}\")" + ] + }, + { + "cell_type": "markdown", + "id": "4b0d462a-e017-41b1-b8a0-8d97f2d49259", + "metadata": {}, + "source": [ + "Next, we will define all the components that make up our \"base\" simulation. This simulation defines the static portion of our optimization, which doesn't change over the iterations. Since our simulation scene has a symmetry in the y and z-axis, we will include the correspoding symmetry flag in the Simulation definition. This makes the simulation four times as fast and also reduces cost by a factor of four. For a tutorial on symmetries in simulations check out this notebook [here](https://www.flexcompute.com/tidy3d/examples/notebooks/Symmetry/). \n", + "\n", + "For now, we'll include a definition of the design region geometry, just to have that on hand later, but will not include a design region in the base simulation as we'll add it later." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "5c441d22-05b9-4e34-8717-fbda75eb0ca5", + "metadata": {}, + "outputs": [], + "source": [ + "waveguide_long_horizontal = td.Structure(\n", + " geometry=td.Box(\n", + " center=(0, 0, 0),\n", + " size=(td.inf, wg_width, thick),\n", + " ),\n", + " medium=td.Medium(permittivity=eps_mat),\n", + ")\n", + "\n", + "waveguide_long_vertical = td.Structure(\n", + " geometry=td.Box(\n", + " center=(0, 0, 0),\n", + " size=(wg_width, td.inf, thick),\n", + " ),\n", + " medium=td.Medium(permittivity=eps_mat),\n", + ")\n", + "\n", + "design_region_geometry = td.Box(\n", + " center=(0, 0, 0),\n", + " size=(design_size, design_size, thick),\n", + ")\n", + "\n", + "mode_source_horizontal = td.ModeSource(\n", + " center=(-design_size / 2.0 - wg_length + wvl0 / 3, 0, 0),\n", + " size=(0, wg_width * 3, td.inf),\n", + " source_time=td.GaussianPulse(\n", + " freq0=freq0,\n", + " fwidth=freq0 / 20,\n", + " ),\n", + " mode_index=0,\n", + " direction=\"+\",\n", + ")\n", + "\n", + "mode_monitor = td.ModeMonitor(\n", + " center=(-mode_source_horizontal.center[0] + 0.2, 0, 0),\n", + " size=(0, mode_source_horizontal.size[1], td.inf),\n", + " freqs=[freq0],\n", + " mode_spec=td.ModeSpec(num_modes=1),\n", + " name=\"mode\",\n", + ")\n", + "\n", + "mode_monitor_multiple_wl = td.ModeMonitor(\n", + " center=(-mode_source_horizontal.center[0] + 0.2, 0, 0),\n", + " size=(0, mode_source_horizontal.size[1], td.inf),\n", + " freqs=td.C_0 / np.linspace(wvl0 * 1.2, wvl0 / 1.2, 101),\n", + " mode_spec=td.ModeSpec(num_modes=1),\n", + " name=\"mode_multiple_wl\",\n", + ")\n", + "\n", + "field_monitor = td.FieldMonitor(\n", + " center=(0, 0, 0),\n", + " size=(td.inf, td.inf, 0),\n", + " freqs=[freq0],\n", + " name=\"field\",\n", + ")\n", + "\n", + "sim_base = td.Simulation(\n", + " size=(2 * wg_length + design_size, 2 * wg_length + design_size, thick + 2 * wvl0),\n", + " symmetry=(0, -1, 1),\n", + " run_time=100 / mode_source_horizontal.source_time.fwidth,\n", + " structures=[\n", + " waveguide_long_horizontal,\n", + " waveguide_long_vertical,\n", + " ],\n", + " sources=[mode_source_horizontal],\n", + " monitors=[mode_monitor],\n", + " boundary_spec=td.BoundarySpec.pml(x=True, y=True, z=True),\n", + " grid_spec=td.GridSpec.auto(\n", + " min_steps_per_wvl=min_steps_per_wvl,\n", + " override_structures=[\n", + " td.MeshOverrideStructure(geometry=design_region_geometry, dl=3 * [pixel_size])\n", + " ],\n", + " ),\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "2b3ce430-dfc0-44d0-8bc4-eb28b2411aea", + "metadata": {}, + "source": [ + "Let's visualize the base simulations to verify that they look correct. The shaded region indicates that we are using a symmetry condition to determine the fields in this region, such that this region does not need to be simulated." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "b91cc9ba-f9bc-41bc-beff-613834915229", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax0, ax1) = plt.subplots(1, 2, figsize=(10, 7), tight_layout=True)\n", + "sim_base.plot(z=0, ax=ax0)\n", + "sim_base.plot(y=0, ax=ax1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "b8ee69e3-843c-4f61-9f44-6a84a29f5aec", + "metadata": {}, + "source": [ + "## Define Parameterization\n", + "\n", + "Next, we will define how our design region is constructed as a function of our optimization parameters.\n", + "\n", + "We will define a structure containing a grid of permittivity values defined by an array. Since we have a symmetric waveguide crossing, we only need to optimize 1/8 of the design volume. Therefore, we use some symmetry helper functions to constrain our device to these symmetries.\n", + "\n", + "We will convolve our optimization parameters with a conic filter to smooth the features over a given `radius`. Then we will add a smoothed projection function (see the paper [here](https://arxiv.org/pdf/2503.20189) for full details). The advantage of this projection is that we can work with fully binarized structures in our simulation. Since we assume that our topology should not change during optimization, we can use a value of $\\beta = \\infty$ during the whole simulation process, which completely binarizes the design except for a small boundary at the interface change. If we want to change the topology during optimization, we could also add a scheduling for the beta parameter, increasing it step-wise towards $\\beta = \\infty$. However, for our example this is not necessary.\n", + "\n", + "For more details on the parameterization process, we highly recommend [our short tutorial](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/Inverse-Design-in-Photonics-Lecture-4-Fabrication-Constraints/), which explains the process in more detail." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "08d19383", + "metadata": {}, + "outputs": [], + "source": [ + "def get_density(params: np.ndarray) -> np.ndarray:\n", + " \"\"\"Get the density of the material in the design region as a function of optimization parameters.\"\"\"\n", + " arr = symmetrize_mirror(params, axis=(0, 1))\n", + " arr = symmetrize_diagonal(arr)\n", + " filter = ConicFilter(kernel_size=discrete_radius)\n", + " arr_filtered = filter(arr)\n", + "\n", + " arr_projected = smoothed_projection(arr_filtered, beta=np.inf, eta=0.5)\n", + " return arr_projected\n", + "\n", + "\n", + "def get_design_region(params: np.ndarray) -> td.Structure:\n", + " \"\"\"Get design region structure as a function of optimization parameters.\"\"\"\n", + " density = get_density(params)\n", + " eps_data = 1 + (eps_mat - 1) * density[:, :, None]\n", + " return td.Structure.from_permittivity_array(eps_data=eps_data, geometry=design_region_geometry)" + ] + }, + { + "cell_type": "markdown", + "id": "90110e4f-9ea4-48fc-b311-c5b568540333", + "metadata": {}, + "source": [ + "Next, it is very convenient to wrap this in a function that returns an updated copy of the base simulation with the design region added. We'll be calling this in our objective function. We'll also add some logic to exclude field monitors if they aren't needed, for example during the optimization." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "c4598fe8-b992-48de-9876-b28a557291df", + "metadata": {}, + "outputs": [], + "source": [ + "def get_sim(params: np.ndarray, with_fld_mnt: bool = False) -> td.Simulation:\n", + " \"\"\"Get simulation as a function of optimization parameters.\"\"\"\n", + " design_region = get_design_region(params)\n", + " sim = sim_base.updated_copy(structures=sim_base.structures + (design_region,))\n", + " if with_fld_mnt:\n", + " sim = sim.updated_copy(\n", + " monitors=sim_base.monitors + (field_monitor, mode_monitor_multiple_wl)\n", + " )\n", + " return sim" + ] + }, + { + "cell_type": "markdown", + "id": "6193eeca-2b7e-4aec-8c2a-774559341369", + "metadata": {}, + "source": [ + "To start with the optimization, we need some initial parameters that can be optimized. These initial parameters could be chosen randomly, but the optimization will run faster and need less iterations to converge if we start from a design that is already performing a little better than random. In this case it is very easy to come up with such a design: We just initialize our parameters such that they represent the waveguides of the base simulations, which we defined above. In other words, we initialize our parameters such that they represent a naive waveguide crossing where the two waveguides simply overlap.\n", + "\n", + "However, it can be a bit difficult to work out how the parameters should look to form this structure in the simulation since there is a smoothing and projection involved. Luckily, we have a helper function, which automatically determines how the parameters should look to represent the base simulation. This helper function takes the desired simulation as input and optimizes our initial parameters to reflect this simulation as best as possible." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "56a4081a", + "metadata": {}, + "outputs": [], + "source": [ + "rng = np.random.default_rng(seed=42)\n", + "params0 = rng.random(size=(discrete_num_pixels, discrete_num_pixels))\n", + "params0 = initialize_params_from_simulation(\n", + " sim=sim_base,\n", + " param_to_structure=get_design_region,\n", + " params0=params0,\n", + " maxiter=1000,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "4ca2ec8b", + "metadata": {}, + "source": [ + "Let's take a look at the resulting parameters which form the initial design. The raw parameters look noisy, but due to the conic filter and smoothed projection the parameters used in simulations form the initial cross design." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "7742422a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(10, 7), tight_layout=True)\n", + "\n", + "im0 = ax0.imshow(params0)\n", + "ax0.set_title(\"raw parameters\")\n", + "fig.colorbar(im0, ax=ax0, shrink=0.3)\n", + "\n", + "density0 = get_density(params0)\n", + "im1 = ax1.imshow(density0)\n", + "ax1.set_title(\"material density\")\n", + "fig.colorbar(im1, ax=ax1, shrink=0.3)\n", + "\n", + "\n", + "temporary_sim = get_sim(params0)\n", + "temporary_sim.plot_eps(z=0, ax=ax2)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "9c0c4498-1ff0-4902-bc61-7bacd0791c1b", + "metadata": {}, + "source": [ + "We can also run a quick simulation with a field monitor added to verify how poorly the initial device is transmitting. This gives us lots of room to improve things through optimization!" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "367a6e58-645b-40e1-b868-3f297725f226", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
08:38:56 CET Created task 'initial_waveguide_crossing' with resource_id         \n",
+       "             'fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21' and task_type 'FDTD'.  \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m08:38:56 CET\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'initial_waveguide_crossing'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=fdve-3b75a6f9-c99\n",
+       "             1-4806-9ea5-a7c0e9f44e21'.                                         \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=886429;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=94583;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=886429;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=790837;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=886429;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21\u001b\\\u001b[32m-3b75a6f9-c99\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=886429;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3b75a6f9-c991-4806-9ea5-a7c0e9f44e21\u001b\\\u001b[32m1-4806-9ea5-a7c0e9f44e21'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Task folder: 'default'.                                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=457301;https://tidy3d.simulation.cloud/folders/folder-b09a5d67-f90e-4deb-9d9b-a702c3884aec\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "8f0e0e6abedc4dd7ab3c3ac6220c8927", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
08:39:04 CET Estimated FlexCredit cost: 1.119. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m08:39:04 CET\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m1.119\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m \u001b[0mexecution details. 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 the billed \n", + "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
08:39:06 CET status = queued                                                    \n",
+       "
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             To cancel the simulation, use 'web.abort(task_id)' or              \n",
+       "             'web.delete(task_id)' or abort/delete the task in the web UI.      \n",
+       "             Terminating the Python script will not stop the job running on the \n",
+       "             cloud.                                                             \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or \n", + "\u001b[2;36m \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI. \n", + "\u001b[2;36m \u001b[0mTerminating the Python script will not stop the job running on the \n", + "\u001b[2;36m \u001b[0mcloud. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "dd4043393ff94b04bac4640bec97d930", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
08:39:15 CET starting up solver                                                 \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m08:39:15 CET\u001b[0m\u001b[2;36m \u001b[0mstarting up solver \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
08:39:16 CET running solver                                                     \n",
+       "
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08:39:27 CET early shutoff detected at 4%, exiting.                             \n",
+       "
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+      ],
+      "text/plain": []
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08:39:28 CET status = postprocess                                               \n",
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08:39:34 CET status = success                                                   \n",
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08:39:39 CET Loading simulation from simulation_data.hdf5                       \n",
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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ((ax0, ax1), (ax2, ax3)) = plt.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n", + "sim0.plot_eps(z=0.01, ax=ax0)\n", + "ax1 = sim_data_init.plot_field(\"field\", \"E\", \"abs^2\", z=0, ax=ax1)\n", + "ax2 = sim_data_init.plot_field(\"field\", \"Ex\", z=0, ax=ax2)\n", + "ax3 = sim_data_init.plot_field(\"field\", \"Ey\", z=0, ax=ax3)" + ] + }, + { + "cell_type": "markdown", + "id": "90d90143-d5aa-4406-81ee-68119d5cb85b", + "metadata": {}, + "source": [ + "## Define Objective Function\n", + "\n", + "The next step is to define the metric that we want to optimize, or our \"figure of merit\". We will first write a function to compute the transmission (between 0-1) of the output mode given the simulation data. " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "16c24074-d66f-4e62-83d8-4e12aa069981", + "metadata": {}, + "outputs": [], + "source": [ + "def get_transmission_from_data(data):\n", + " mode_amps = data[\"mode\"].amps.sel(direction=\"+\").values\n", + " energy = np.sum(np.abs(mode_amps) ** 2)\n", + " return energy" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "4b84d373", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initial transmission at center wavelength: 0.7760829713128199\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "print(\n", + " f\"Initial transmission at center wavelength: {get_transmission_from_data(sim_data_init).item()}\"\n", + ")\n", + "\n", + "transmission_init = abs(sim_data_init[\"mode_multiple_wl\"].amps.sel(direction=\"+\")) ** 2\n", + "transmission_init_db = 10 * np.log10(transmission_init)\n", + "wavelengths = td.C_0 / transmission_init.f\n", + "\n", + "plt.plot(wavelengths, transmission_init_db, c=\"black\", linewidth=3)\n", + "plt.xlabel(\"wavelength (μm)\")\n", + "plt.ylabel(\"transmission (dB)\")\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "e0869f1f-a34d-457f-9ca9-4e855774c929", + "metadata": {}, + "source": [ + "Next we can put everything together into a single objective function." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "0f39f538-7c6c-46b6-9bb9-f25c6713431f", + "metadata": {}, + "outputs": [], + "source": [ + "def objective(params: np.ndarray) -> float:\n", + " \"\"\"Objective function.\"\"\"\n", + " sim = get_sim(params)\n", + " data = web.run(sim, task_name=\"crossing\", verbose=False)\n", + " transmission = get_transmission_from_data(data)\n", + " return transmission" + ] + }, + { + "cell_type": "markdown", + "id": "fcd0837e-57b7-438e-82d4-1ec72b571493", + "metadata": {}, + "source": [ + "## Optimization\n", + "\n", + "Getting the gradient of the `objective` function is easy using `autograd`. Calling `g = autograd.value_and_grad(f)` returns a function `g` that when evaluated returns the objective function value and its gradient.\n", + "\n", + "We use this as it's more efficient and we don't have to re-compute the objective during the gradient calculation step if we want to store the value too.\n", + "\n", + "Let's construct this function now and have it ready to use in the main optimization loop." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "42bbb42d-2ec3-49fd-a91c-6b4e64009dc9", + "metadata": {}, + "outputs": [], + "source": [ + "val_grad_fn = autograd.value_and_grad(objective)" + ] + }, + { + "cell_type": "markdown", + "id": "c4dea036-cb09-47e3-ad9e-156a47bbfffe", + "metadata": {}, + "source": [ + "Next we will run the optimizer, we first make a cell to define the parameters and some convenience functions and objects to store our history." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "20a041a9-cd33-4310-889b-8da46dc630b3", + "metadata": {}, + "outputs": [], + "source": [ + "# hyperparameters\n", + "num_steps = 25\n", + "learning_rate = 0.1\n", + "\n", + "# initialize Adam optimizer with starting parameters\n", + "params = np.copy(params0)\n", + "\n", + "optimizer = optax.adam(learning_rate=learning_rate)\n", + "opt_state = optimizer.init(params)\n", + "\n", + "\n", + "# store history\n", + "objective_history = []\n", + "param_history = [params]" + ] + }, + { + "cell_type": "markdown", + "id": "edf7c795-8343-4a3a-8c0d-a2e521c66131", + "metadata": {}, + "source": [ + "And then we can iteratively update our optimizer and parameters using the gradient calculated in each step.\n", + "\n", + "We'll throw in a quick visualization of our device material density just to keep an eye on things as the optimization progresses.\n", + "\n", + "> Note: the following optimization loop will take about half an hour. To run fewer iterations, just change `num_steps` to something smaller above." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "921419b7-dea0-4c86-a706-968650b1e292", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "step = 1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 7.7608e-01\n", + "\tgrad_norm = 2.3951e-03\n", + "step = 2\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 7.8869e-01\n", + "\tgrad_norm = 5.1135e-03\n", + "step = 3\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 8.0117e-01\n", + "\tgrad_norm = 4.1316e-03\n", + "step = 4\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 8.1040e-01\n", + "\tgrad_norm = 5.3284e-03\n", + "step = 5\n" + ] + }, + { + "data": { + "image/png": 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+5syZ+Oc//4mcnBy0bNkSQIV4dO/eHaNHj0Z2djaaNGmCVatWQa/XY+7cuUb3Wrx4MRISEtCvXz+89NJLOHv2LFasWIFXX321WldxVZRKJfr164d9+/Zh3rx51c7v2bMHw4cPx1/+8hdcvHgRa9euhaenJ/bu3Yvo6Gg899xzFj+bmtBqtfjxxx8xefJkyyKa3S9jJVevXqVRo0ZRQEAAKRQKevTRR2nKlCnVBonV1J1LVNE1Gx4eTjKZjAIDA2nSpElGg8SuXLlCY8aMoVatWpFSqaRGjRrRU089Rfv27RNt9u/fTwMHDqSQkBCSy+UUEhJCw4YNqzbUuCrmxtNoNPTRRx9Ru3btSKFQkL+/P0VFRdHcuXOpqKjIyHbdunXUqVMn0a5Pnz6UkZEhns/NzaX4+Hjy8fExa5DYtm3bxOs1atSo1kFiVTF089VFZmYmde/enTw8PCgkJITeeecd+uGHH6r58+DBA3r55ZfJz8+vzkFiNQ0qMxy2DhIjqhhivnDhQmrRogXJ5XJq164dffXVV9XsDN3YOTk5RuH37t2jsWPHUuPGjcnT05P69Olj8ju6fft26tixIykUCgoNDaXk5GTSaDRm+fntt98Sx3FG3b2GrtqFCxdSbGwsKRQKCgsLo2+++Ybee+898vT0pLlz5xLRn++w6nACU++8T58+1K5dO6Ow77//ngDQpUuXzPLZAEfE9m1hMOoLvV6PyMhIDBkyBPPnzwcA/P777wgLC8P69evxyiuvONyHxMREcBwnVovMhc2qZTDqEYlEgnnz5mHlypX1MiX//Pnz2LlzpyhclsDEg8GoZ4YOHYp79+7Vy5T8iIgI6HQ6s8djVYaJB4PBsArW5sFgMKyClTwYDIZVOM3wdGdHEATcunULPj4+Vk1kYzQ8iAj3799HSEhIrXOkGipMPMzk1q1b+OyzzyCVVjwyIkJBQYFdRvvJ5XKjEbEKhQKCIECj0dh8bXORSqWQSqXQ6XTQ6XRGPj2smi3HcUZpr+rTw6K298FxHPz9/cUMZOHChbh+/bpZc1OqUlsm5AqtCUw8zMTHxwdSqRSenp7geR5EhJYtW1o94awygiBArVaLQ6RlMhl8fX0fem5WUlIiDqfneR4XLlyw+EdbdZEZS9HpdCgqKhKH8Ht5ecHT09Oma1pKbe9Dr9cjPz8fHMeJPvr4+Fh1H1cvrTDxMBNDLsFxnPg/z/NiScRWfH19xZmNvr6+RqusPSx8fHyM1qiwJre39XlIpVKUlZWJuX59VRNNvQ/630zdyt8Da/1j4uFGGIqSgiCAiFBeXm40IcpaDEViw2IzJSUl0Ol0D/XLRUTQaDRQKBRiDuvj42OxgBjWvLAWnU4HIoKHh4dYApDL5Q9VQGp7HzqdDoIg2MUfV287Y+JhAYWFhWjRogUkEgnKy8vx7LPPWjQL0dVo3bq1xXEWLlzoAE+ch6KiIuzevRsKhcLmjIOVPNwIQRDERjy9Xg+VSoVGjRrVt1sOw5xVxqrSkJ+HAalUCplMZnPJgYkHg+Fm2Lp6mgEmHgyGm6HRaFjJA0w8GAyL4TgOBQUF5u9vYgImHgyGmyGXy6HX621eOd7VxcO1vX/IyOVyu9V3Ga6LYZSprQMEeZ43ebgCruGlk8DzPNRqtUsMHWY4Fo7j7FJtcWXxYNUWCzAMCisoKLBpnxlGw8DWH7mriIQpnMr71NRUREdHw8fHB02bNkViYmKN+5JUJS0tDeHh4VAqlWjfvj12795tdJ6IkJKSguDgYHh4eCA2NhaXLl2y2D8igkqlgk6ne6iT1hgNE1cveTiVlz/++COmTJmC48ePIyMjA1qtFv369RMna9XETz/9hGHDhmHs2LE4c+YMEhMTkZiYaLTZ1KJFi7B8+XKsWbMGJ06cgJeXF+Li4qwaSi2VSuHv78+qLgybcXXxcKpqy549e4w+b9iwAU2bNsWpU6dMztb89NNP0b9/f7z99tsAgPnz5yMjIwMrVqzAmjVrQERYtmwZkpOTMXDgQADAl19+icDAQKSnp+Oll16q8brl5eVGmylV3qNVJpPVy8Q1RsPCVUTCFE7tvaErrLYhz8eOHau2MVBcXByOHTsGoGIbvdzcXCMblUqFbt26iTY1kZqaCpVKJR5V9yJ19RfPqH8qz86tergCTvsLEAQB06ZNQ8+ePWtd2Tk3NxeBgYFGYYGBgeIGyYa/tdnUxMyZM1FUVCQe169ftzYpDEaNsGqLg5gyZQrOnj2Lo0eP1sv9FQqFuCcpg+EIXEUkTOGU3k+dOhU7d+7EwYMH61zeLSgoqNru4Xl5eQgKChLPG8JM2TAY9YGrlzycyksiwtSpU7F9+3YcOHAAYWFhdcaJiYnB/v37jcIyMjIQExMDAAgLC0NQUJCRjVqtxokTJ0QbBqM+cHXxcKpqy5QpU7B582bs2LEDPj4+YpuESqUSB2WNGjUKzZo1E3eVf+ONN9CnTx988skniI+Px9atW5GVlYW1a9cCqGiUmjZtGhYsWIA2bdogLCwMs2bNQkhICBITE+slnQwG4PrVFqcSj9WrVwMAnnzySaPwyhv+Xrt2zeih9+jRA5s3b0ZycjLee+89tGnTBunp6UaNrO+88w6Ki4sxfvx4FBYWolevXtizZ4+4zJw1sDkuDFth4mFHzBl4dejQoWphgwcPxuDBg03G4TgO8+bNw7x582xxT0Sr1bIRpgybYeLhZuh0OqjVatYTw7AZJh5uBMdxKCoqYiNMGXaBiYcboVAoIJFI4O/vbzR0neGe2NruxcTDjRAEAb6+vi4zfJjhOIjIaL6TNTDxcCM0Go3Lv3CG7Rj2KbZ13xZXz4SYeDAYFqLRaKDT6Wze8MvVMyImHgyGhRAR/P392dYL9e0Aw3kxbOpsib07IJfLIZPJrNoIvDJMPBgMN8NeP3omHgwGwypcXTxc23uGQ3nmmWccau/usFm1jAbLvn37HGrv7riKSJiCiQeDUU+4uni4tvcMh2LpeidsfRTLYNUWRoNl+/btFnXVbt++3YHeNDxcRSRMwcSDwbAQe41nYeLBaNCYO1DMXQaIARXD021Zhc6Aq4uHa3vPcCj5+flmV1s4jkN+fr6DPXIODBPjbJ2SzzZ9YjQ4Dh06BI7jEBAQYFG8gIAAcBxX41KRDQm5XC6uKGcLrt5g6hpeOglSqXvU8qouQP2w4zs7PM/D39/f5in5TDzcCKlUipKSkvp246FARIiIiLAoTkREhNu0fchkMrtMyXdl8XCPrNRO6HQ6FBcXQyKRQCKR1Lc7Dic7O9ui+nd2drYDvXE+bC2JuopImIKJhwXodDp4eXnhwYMH8PLyqm93GC6O24lHTk4Ojhw5gqtXr6KkpAQBAQHo1KkTYmJi7NJ95ex4enpCIpE02H1bOI5DcXExPD09LW715zgORISSkhJ4eXm5TRXGWtxGPDZt2oRPP/0UWVlZCAwMREhICDw8PHDv3j1cvnwZSqUSw4cPx4wZM9CiRQtH+lzvNOQfRmlpqbi1pzUYBKe0tNReLjVYXF08zPK+U6dOWL58OV555RVcvXoVt2/fxqlTp3D06FFkZ2dDrVZjx44dEAQBXbp0QVpamqP9rncaas+LUqkEESErK8uq+FlZWSAityiF2opbNJh++OGHiIuLM3leoVDgySefxJNPPokPPvgAv//+u738Y9QTUVFRDzWeO+IqImEKs8SjNuGoSuPGjdG4cWOrHWIw3AW3EI+auHPnDu7cuVNtiG6HDh1sdopR/1g7RNrQaMqoG7cTj1OnTiEpKQnnz58XvySGLwzHcTaPumPUP7bOrWACYh6uMofFFBaLx5gxY9C2bVt88cUXCAwMdPkHwDDGz8/PbtcpLCy0y7UaKm5X8rhy5Qr+9a9/oXXr1o7wx2VoqDmrrZO97H2dhoyri4fF3vft2xe//PKLI3xxGYiowQ4Ss3Waub2v05Bxi67aynz++edISkrC2bNn8fjjj0MmkxmdT0hIsJtzzoggCFCr1S7zgq3B0p3iaorPqBtX/w5ZLB7Hjh1DZmYmvv/++2rn3KHBVK1WQxAEeHt717crZmMQgpp+1IZzgYGByM3Ntfu9dTqdmMGYur9Go6mWCbkDri4eFnv/2muvYcSIEbh9+zYEQTA6GrpwyOVy6PV6+Pv7O+2Lr6nEYPjR/utf/zJpm5eXh169ekEQBLv0tgiCgF69ehmJQtXrGvypKhxbt251i4Z4V6+2WOzlH3/8gTfffBOBgYGO8Mep4XkeKpXqoeWS1m6kXPWHd+fOHQDAoEGDkJycbHKpu8zMTLstNSCRSJCZmVmjbxzHITk5GYMGDaox7rBhw6y6Z3FxsVXxrMXWtV1cXTwsrra88MILOHjwIFq1auUIf5ya8vJy/PTTTwAADw8PzJw5EwUFBfXsVYXIVP3Rm8q5P/jgg4fhUp1U9qOuUoZer3eauUT+/v4YMmQIeJ63uerqKiJhCovfSNu2bTFz5kwcPXoU7du3r5YLv/7663Zzztlw1oZAZ/lh2RtnrbpIpVJ4enriwYMHNl3H1cXDYu8///xzeHt748cff8SKFSuwdOlS8Vi2bJldnFq5ciVatmwJpVKJbt264eTJk7Xap6WlITw8HEqlEu3bt8fu3buNzhMRUlJSEBwcDA8PD8TGxuLSpUt28ZXhfkilUjx48MDmapKrV1ss9jInJ8fkceXKFZsd2rZtG6ZPn47Zs2fj9OnTeOKJJxAXFyfW26vy008/YdiwYRg7dizOnDmDxMREJCYm4uzZs6LNokWLsHz5cqxZswYnTpyAl5cX4uLiUFZWZrO/DPfDsBylrbideJji9u3bWLRokc3XWbJkCcaNG4fRo0cjMjISa9asgaenJ9atW1ej/aeffor+/fvj7bffRkREBObPn4/OnTtjxYoVACpKHcuWLUNycjIGDhyIDh064Msvv8StW7eQnp5us78M98PahuyquLp4WDW3pSauXr2KkydP4p133rHaGY1Gg1OnTmHmzJliGM/ziI2NxbFjx2qMc+zYMUyfPt0oLC4uThSGnJwc5ObmIjY2VjyvUqnQrVs3HDt2DC+99FKN1y0vL0d5ebn4uWJgGKCQVdTDpRKgqZ8ESr7hL4TM+BNfXwmkkj+/B7bgrG065mKxeFTtXdDr9bhy5QrOnz+PVatW2eRMfn4+9Hp9tW7gwMBA/PbbbzXGyc3NrdHeMODJ8Lc2m5pITU3F3LlzjcLmvj8FMv5/A54gxZtD/CAl18glGPZBx/niD7kUHGzvrneVEoYpLBYPUzuhf/DBB0hPT8eECRNsdsoZmDlzplGJRq1W48u1H0IQCIIAgAfUxQJ4PZvD4U4IEgF6KQCBYOtv3+3EwxTDhg3DggULbLpGkyZNIJFIkJeXZxSel5eHoKCgGuMEBQXVam/4m5eXh+DgYCObjh07mvRFoVBAoVBUCxcEQCAARCjVEDidc3bfMhwDSamiy54A2JhvuLp42M37X375BZ06dbLpGnK5HFFRUdi/f78YJggC9u/fj5iYmBrjxMTEGNkDQEZGhmgfFhaGoKAgIxu1Wo0TJ06YvCaD8TBwuwbTqo2TQEUuvmPHDsTHxxudX7JkicUOTZ8+HUlJSejSpQu6du2KZcuWobi4GKNHjwYAjBo1Cs2aNUNqaioA4I033kCfPn3wySefID4+Hlu3bkVWVhbWrl0LoKJRatq0aViwYAHatGmDsLAwzJo1CyEhIUhMTLTYPwbDXriKSJjCYvE4c+ZMjeHR0dHiuqaA9S3JQ4cOxd27d5GSkoLc3Fx07NgRe/bsERs8r127ZvTQe/Togc2bNyM5ORnvvfce2rRpg/T0dDz++OOizTvvvIPi4mKMHz8ehYWF6NWrF/bs2WPx9gA8D0hkHAQCiOPQpJEUUqr/0Z0cgGf6PQMA2Ls3o36dsSP9/pemjL0ZcJbKoY6TIl/KgSMOvI2dJa4uHhw565hrJ0OtVmP10veg8paC4yTQ6CV4svVl+CrL645sLUSAhSJ85vRpAECnzp3FMJ1Oi1//8yuAijYgR0y9t5TKflT2Fag5DeYg6AXwEsf+INVlCuy/2AYeMi2I9Jj0t09RVFQEX19fi6/1ySefmDz31ltv2eLmQ6H+s00XQq8HeIknOIkUPMdB4fcYlE62Ze2vV45j5MgRUHp6Vgk/hebNH0FM+/4Ia18Rtvbvax+6f+MnjBf/v3Dje1y7dh0xzxivuP/rleMAUC3cGSgvBvSQoVxQQCnV2nQtVy95mCUe/fv3x5w5c9C9e/da7e7fv49Vq1bB29sbU6ZMsYuDDMuo/OM0sGXzFgBA/7/+tZptZQER4xJh7dp/WO/D+HFiiemrr75CSXFJjb71/+tfaxSwmtLgTEglQImGAwm2/fjdQjwGDx6MF198ESqVCgMGDECXLl0QEhICpVKJgoICZGdn4+jRo9i9ezfi4+OxePFiR/tdLxBcc0TgsJdNr49R4w/V1pGPleKPGDGiVlNnF4qakEoATzmhuJyJR52MHTsWI0aMQFpaGrZt24a1a9eiqKgIQEXDaGRkJOLi4vDzzz8jIiLCoQ7XJ8TJoNVzkDfwEem2VmfW/n2tS4qCJXgoCGTjIs9uIR5AxaCpESNGiDlJUVERSktL0bhxYzdaf5Jwv1wClWu/81oxdHHb4zrjxzdwAZHbJh5uN7fFgEqlgkqlsqcvTg9PWkg5grqMh6e8vr1xDHKZ3C7bSshlDfQB2RG3KXkwAHCAt0KLBxo5tDqAdKUQtA1rbsuoEYOxedNmm6/z8vDBELQPd03RhwHpeBBJQCSAiFVbGGYi4QFQCbxlZSjRKlGuvoTy8oa3oNCLzz6B8+fPWx0/IiIC5QXn7OiR81BergTpIkCkBdk4uYWJhxuhFwCO9wQnkUAOHgrfNlB4NqySh4GOPdpZVQJ5efjLDvDGeVCU8OCkSnBSecXAHxtg4uFOEMBxPDhOAo7nwEk9wDfgtuKScssHH/MyJxs1Z2c4qeE7wAGcbYOzXV08LPY+KSkJhw8fdoQvDCci/27+Q43njrjdrNqioiLExsaiRYsWGD16NJKSktCsWTNH+MaoJ2wZ5/Htt98CcM3BXw8bVxEJU1jsfXp6Om7evIlJkyZh27ZtaNmyJf7617/im2++gVZr21h/Rv1jEA5rdwQ0xKuPeTOuhtuVPAAgICAA06dPx/Tp03H69GmsX78eI0eOhLe3N0aMGIHJkyejTZs29vaV8RCoXGLQajRYv36D2XFHj34FMjkb32EuriISprDJ+9u3byMjIwMZGRmQSCR49tln8euvvyIyMhJLly61l4+MesJSIWDCYRluV/LQarX47rvvsH79euzduxcdOnTAtGnT8PLLL4trGmzfvh1jxozBm2++aXeH6xOJBBD0JeAECbRaGcoLL6GszIHredQzZWWlaP+o+YJQePMElEoPB3pU/5SXKSDoWkEgPYhYV61FBAcHQxAEDBs2DCdPnqxxEeGnnnoKfn5+dnDPuahYm0eKMp0ceuIhkftCorDPBkDORv7dfJw+Y9lAr8wT59C5Uyc0CWjiIK/qH4kgFbvqIdg2N8XtxGPp0qUYPHhwrUv4+fn5IScnxybHnBFBAMp0SpTqpPCQE6SewWiIwxpOnzqNrKwsq+Le3PszunTpgs5Rlq0C5ipIOYCTyMBJCIBtGYfbTYwbOXKkI/xwCYiToETLw0tBkDTgafmdozqjc1RnlJWV4ct/fml2vFFJoyxeF9adcfWSh2t7/5AhSOEpE+ChcI9lX5VKpdnjNcZPGO92wqHV215tceUGU9fw0kngoLN5DQdXw9zxGu42rkOnA+6X21b8dHXxYHNbLICzsXWd0TAQBOCBhoOUc+9Zta7tPcOh7P1hr0PtXRWtvqLh1Ftpe1ctK3m4CTwPkKABoAfpeehKcqGlhtlVCwDa4htoFmD+V0RbfAPaB9cd6FH9oyuVAhQCL4XO5pKoq4iEKZh4WADHAUQ6QCAQSaDXqKHnG+4gsUY+ln+59eUFDvDEedBrFJByAeDYIDEmHpbgCps+2ZN7muu4eeOm2fbNQptB2dj5NmqyJ+XFgEQmAy8lkN62Uqeri4dre89wKPHx8Q61d3dYmweDwbAKVxEJUzDxYDDqCVcXD9f2nuFQ/mHhBlCW2rs7HMeZPFwBVvJgmIQsHIVvqb274+olDyYelsChYqMf0oOIb5CbPlXGU2F5DtgQN3qqDNv06U+YeFiAhAdIKAEEHqSXNdhNnwxEhlm+MlhD3ezJQHm5Enot2/QJYOJhEZU3feK4hr3pEwBk5/xicZyOPdo5wBPnQVHCQw8P6Hk5JGCDxBjmUnnTJ45t+lQTbrHpE8/hfpkU3jYu2crEg8FwM2QSQNDbZ0q+K8PEwwIETgaBgAa8iBjDDDgO8PEkqIvde7tJJh4WweFBmQS+DbtkzjADzk5T8l0ZJh4WwJEWOuJwv4SDgm1R4vbwNo7lYuLhRnAg+Cj0eKCRgmeLijFshImHndBqtUhOTsbu3btx5coVqFQqxMbG4sMPP0RISEitcVeuXInFixcjNzcXTzzxBD777DN07dpVPF9WVoa33noLW7duRXl5OeLi4rBq1SqL92OVSAAJiuElk6JcK0N54cUGvemTJRs+GSj74z8O8MR5YJs+/YnTiEdJSQlOnz6NWbNm4YknnkBBQQHeeOMNJCQk1LqHyLZt2zB9+nSsWbMG3bp1w7JlyxAXF4cLFy6gadOmAIA333wTu3btQlpaGlQqFaZOnYoXXngBmZmZFvlo2PRJLpFAIK5Bb/oEAPfuWz6GRaLwd4AnzgPb9OlPnEY8VCoVMjIyjMJWrFiBrl274tq1a2jevHmN8ZYsWYJx48Zh9OjRAIA1a9Zg165dWLduHd59910UFRXhiy++wObNm/H0008DANavX4+IiAgcP34c3bt3N9tHQQA4Xg5OIoWEuAa76ZOBm3ctF0aZ9yMO8MR5YJs+/YlTS19RURE4jjO5daVGo8GpU6cQGxsrhvE8j9jYWBw7dgwAcOrUKWi1WiOb8PBwNG/eXLSpifLycqjVaqODwbAnrr4YkNN6WVZWhhkzZmDYsGHiBtpVyc/Ph16vr9Z2ERgYiNzcXABAbm4u5HJ5NQGqbFMTqampUKlU4vHIIw07R2U8fJh4WMmmTZvg7e0tHkeOHBHPabVaDBkyBESE1atX14t/M2fORFFRkXhcv96wVwVnPHxcXTzqrc0jISEB3bp1Ez83a9YMwJ/CcfXqVRw4cMBkqQMAmjRpAolEgry8PKPwvLw8BAUFAQCCgoKg0WhQWFhoVPqobFMTCoUCCoXCmqQxGGbhKiJhinrz3sfHB61btxYPDw8PUTguXbqEffv2oXHjxrVeQy6XIyoqCvv37xfDBEHA/v37ERMTAwCIioqCTCYzsrlw4QKuXbsm2jAY9QEredgJrVaLQYMG4fTp09i5cyf0er3YJtGoUSPI5RVjDvr27Yvnn38eU6dOBQBMnz4dSUlJ6NKlC7p27Yply5ahuLhY7H1RqVQYO3Yspk+fjkaNGsHX1xevvfYaYmJiLOppAYw3fdLrJNCV3G7Qmz5ZsuGTAXfY9In0QSBOAAlsnIdTcPPmTXz33XcAgI4dOxqdO3jwIJ588kkAwOXLl5Gfny+eGzp0KO7evYuUlBTk5uaiY8eO2LNnj1Ej6tKlS8HzPF588UWjQWKWYtj0SasDtDqebfpUA+6w6RNRAEhgg8Q4IrbypDmo1Wqs+Pg9qFQqPNBIIZcC8V20UDXgcR7W7Hw/fsJ4B3jiPBQVAxn/lkH+v02fJryZiqKiolrb5kxRUGBaaP39nX+wndOUPFwBAof75RLI+Io1HRgMW3D1kgcTDwsgTgYpR/DxBLR61x4dyLAdwcYyOxMPt4LgrdSD49hjc3eIgAdlbCUxhpnwpAXPedS3G4x6hgi4X8JBZ2PJw9XntjDxYDAsRKsHdAT4KNy7t4WJhwUQx0GrJ3Ckh07PQ/2gHKRruFsvKD1VFscpLCp1gCfOw/0yHnqdFJ5yPcD2bWGYi573RWFJxQsn4nA0WwIJZ90XQCBAK0jAc4CU16NqAZYA6AQJBAJkvN7mJe9qos57BPwVAqQQSAKe04M3Ywr63jOWf6V0xEEvSCDh9ZBy1esCdT0re2Du+9ALHMp0QLmOh60DtJl4uBFEHDhw4HgOggAo5HJIJNZXfGV64H6pBAIAHw89DFVgoopwvVARLpU4rl/YcK8yveFef567py4HeCUglIAXSsy6nsrP8tKKAkCphkdJuRyeCgEe8j9zdJ0eKCmVQMIDXh56cJzjnoU578NTIUCj58DzHMjG7hYmHm6CYSydAID/33dbIILEhi+QlAO8FXrcL5fgfgkvrsb9oEwi1qmlHNlaOq4VDoC3QocHZRKoSyXwUeghkxBKNTzAe1okHACs7r/0kOoBgVBSzgMCBw+5AK2+YlyNlCN4K/TgCBVFAAdhzvswFElI+PO1WDvO0tXFg40wNZMbN26wNT0YNXL9+nWEhobWtxsPHSYeZiIIAm7dugUfHx+rutjUajUeeeQRXL9+3aqhzM5CQ0kHYHtaiAj3799HSEiIy5cirIFVW8yE53m75C6+vr4u/6MDGk46ANvSolJZ3sbTUHA/uWQwGHaBiQeDwbAKJh4PCYVCgdmzZ7v80oYNJR1Aw0pLfcAaTBkMhlWwkgeDwbAKJh4MBsMqmHgwGAyrYOLBYDCsgomHFWi1WsyYMQPt27eHl5cXQkJCMGrUKNy6davOuCtXrkTLli2hVCrRrVs3nDx50uh8WVkZpkyZgsaNG8Pb2xsvvvhitU2t7E1dPlUlLS0N4eHhUCqVaN++PXbv3m10noiQkpKC4OBgeHh4IDY2FpcuXXJkEpCamoro6Gj4+PigadOmSExMxIULF+qM54xpcRmIYTGFhYUUGxtL27Zto99++42OHTtGXbt2paioqFrjbd26leRyOa1bt47OnTtH48aNIz8/P8rLyxNtJk6cSI888gjt37+fsrKyqHv37tSjRw+HpcUcnyqTmZlJEomEFi1aRNnZ2ZScnEwymYx+/fVX0ebDDz8klUpF6enp9Msvv1BCQgKFhYVRaWmpw9IRFxdH69evp7Nnz9K///1vevbZZ6l58+b04MEDk3GcNS2uAhMPO3Hy5EkCQFevXjVp07VrV5oyZYr4Wa/XU0hICKWmphJRhSjJZDJKS0sTbc6fP08A6NixYw7xuy6fqjJkyBCKj483CuvWrRtNmDCBiIgEQaCgoCBavHixeL6wsJAUCgVt2bLFASmomTt37hAA+vHHH03auEpanBVWbbETRUVF4DjOaD/cymg0Gpw6dQqxsbFiGM/ziI2NxbFjxwAAp06dglarNbIJDw9H8+bNRRt7Yo5PVTl27JiRPQDExcWJ9jk5OcjNzTWyUalU6Natm0PSYIqioiIAFbsNmsJV0uKsMPGwA2VlZZgxYwaGDRtmcoJVfn4+9Hq90U52ABAYGChuq5mbmwu5XF5NgCrb2BNzfKpKbm5unWkwhJl7TXsjCAKmTZuGnj174vHHHzdp5wppcWaYeJjBpk2b4O3tLR5HjhwRzxk25yYirF69uh69ZBiYMmUKzp49i61bt9a3Kw0aNiXfDBISEtCtWzfxc7NmzQD8KRxXr17FgQMHap3W3aRJE0gkkmo9J3l5eQgKCgIABAUFQaPRoLCw0Kj0UdnGnpjjU1WCgoLqTIMhLDg42Mim6h7EjmDq1KnYuXMnDh8+XOcSCs6eFmeHlTzMwMfHB61btxYPDw8PUTguXbqEffv2oXHjxrVeQy6XIyoqCvv37xfDBEHA/v37ERMTAwCIioqCTCYzsrlw4QKuXbsm2tgTc3yqSkxMjJE9AGRkZIj2YWFhCAoKMrJRq9U4ceKEQ9JggIgwdepUbN++HQcOHEBYWFidcZw1LS5DfbfYuiIajYYSEhIoNDSU/v3vf9Pt27fFo7y8XLR7+umn6bPPPhM/b926lRQKBW3YsIGys7Np/Pjx5OfnR7m5uaLNxIkTqXnz5nTgwAHKysqimJgYiomJcVha6vJp5MiR9O6774r2mZmZJJVK6eOPP6bz58/T7Nmza+ze9PPzox07dtB//vMfGjhwoMO7NydNmkQqlYoOHTpk9D5KSkpEG1dJi6vAxMMKcnJyDEvxVjsOHjwo2rVo0YJmz55tFPezzz6j5s2bk1wup65du9Lx48eNzpeWltLkyZPJ39+fPD096fnnn6fbt287ND21+dSnTx9KSkoysv/666+pbdu2JJfLqV27drRr1y6j84Ig0KxZsygwMJAUCgX17duXLly44NA0mHof69evd7m0uApsSj6DwbAK1ubBYDCsgokHg8GwCiYeDAbDKph4MBgMq2DiwWAwrIKJB4PBsAomHgwGwyqYeDAYDKtg4sGokS+++AL9+vVz+H327NmDjh07QhAEh9+LYV+YeDCqUVZWhlmzZmH27NkOv1f//v0hk8mwadMmh9+LYV+YeDCq8c0338DX1xc9e/Z8KPd75ZVXsHz58odyL4b9YOLRgLl79y6CgoKwcOFCMeynn36CXC6vNhW9Mlu3bsWAAQOMwp588klMmzbNKCwxMRGvvPKK+Llly5ZYsGABRo0aBW9vb7Ro0QLfffcd7t69i4EDB8Lb2xsdOnRAVlaW0XUGDBiArKwsXL582frEMh46TDwaMAEBAVi3bh3mzJmDrKws3L9/HyNHjsTUqVPRt29fk/GOHj2KLl26WHXPpUuXomfPnjhz5gzi4+MxcuRIjBo1CiNGjMDp06fRqlUrjBo1CpXnYzZv3hyBgYFGK7QxnB8mHg2cZ599FuPGjcPw4cMxceJEeHl5ITU11aR9YWEhioqKEBISYvX9JkyYgDZt2iAlJQVqtRrR0dEYPHgw2rZtixkzZuD8+fPVVvAKCQnB1atXrbono35g4uEGfPzxx9DpdEhLS8OmTZugUChM2paWlgIAlEqlVffq0KGD+L9h4eD27dtXC7tz545RPA8PD5SUlFh1T0b9wMTDDbh8+TJu3boFQRDw+++/12rbuHFjcByHgoKCOq+r1+urhclkMvF/juNMhlXtmr137x4CAgLqvCfDeWDi0cDRaDQYMWIEhg4divnz5+PVV1+tlutXRi6XIzIyEtnZ2dXOVa1qXLlyxS4+lpWV4fLly+jUqZNdrsd4ODDxaOC8//77KCoqwvLlyzFjxgy0bdsWY8aMqTVOXFwcjh49Wi18x44d+Pbbb3H58mV88MEHyM7OxtWrV3Hz5k2bfDx+/DgUCgVbVNjFYOLRgDl06BCWLVuGjRs3wtfXFzzPY+PGjThy5Eite8yMHTsWu3fvFnddMxAfH49FixYhMjIShw8fxqpVq3Dy5Els3LjRJj+3bNmC4cOHw9PT06brMB4ubA1TRo0MHjwYnTt3xsyZMwFUjPPo2LEjli1bZtf75Ofn47HHHkNWVpZZ2yUwnAdW8mDUyOLFi+Ht7e3w+/z+++9YtWoVEw4XhJU8GGbhqJIHw3Vh4sFgMKyCVVsYDIZVMPFgMBhWwcSDwWBYBRMPBoNhFUw8GAyGVTDxYDAYVsHEg8FgWAUTDwaDYRX/D8bLFCgypkinAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 8.2853e-01\n", + "\tgrad_norm = 6.5882e-03\n", + "step = 6\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 8.5414e-01\n", + "\tgrad_norm = 7.3802e-03\n", + "step = 7\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 8.5461e-01\n", + "\tgrad_norm = 1.2117e-02\n", + "step = 8\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 8.7582e-01\n", + "\tgrad_norm = 9.5314e-03\n", + "step = 9\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 8.9434e-01\n", + "\tgrad_norm = 4.4150e-03\n", + "step = 10\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.0213e-01\n", + "\tgrad_norm = 1.1615e-02\n", + "step = 11\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.1098e-01\n", + "\tgrad_norm = 4.4071e-03\n", + "step = 12\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.1467e-01\n", + "\tgrad_norm = 4.4776e-03\n", + "step = 13\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.2012e-01\n", + "\tgrad_norm = 3.8453e-03\n", + "step = 14\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.2644e-01\n", + "\tgrad_norm = 3.0016e-03\n", + "step = 15\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.3196e-01\n", + "\tgrad_norm = 2.8073e-03\n", + "step = 16\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.3698e-01\n", + "\tgrad_norm = 2.4274e-03\n", + "step = 17\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.4137e-01\n", + "\tgrad_norm = 2.4483e-03\n", + "step = 18\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.4520e-01\n", + "\tgrad_norm = 2.5181e-03\n", + "step = 19\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.4981e-01\n", + "\tgrad_norm = 2.8468e-03\n", + "step = 20\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.5480e-01\n", + "\tgrad_norm = 3.0946e-03\n", + "step = 21\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.5986e-01\n", + "\tgrad_norm = 2.7566e-03\n", + "step = 22\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.6391e-01\n", + "\tgrad_norm = 2.8375e-03\n", + "step = 23\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.6573e-01\n", + "\tgrad_norm = 2.0951e-03\n", + "step = 24\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.6667e-01\n", + "\tgrad_norm = 2.3318e-03\n", + "step = 25\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\tJ = 9.6852e-01\n", + "\tgrad_norm = 2.0418e-03\n", + "CPU times: user 1min 49s, sys: 1.71 s, total: 1min 50s\n", + "Wall time: 44min 35s\n" + ] + } + ], + "source": [ + "%%time\n", + "for i in range(num_steps):\n", + " print(f\"step = {i + 1}\")\n", + "\n", + " sim_i = get_sim(params)\n", + " _, ax = plt.subplots(figsize=(2, 2))\n", + " sim_i.plot_eps(z=0, ax=ax, monitor_alpha=0.0, source_alpha=0.0)\n", + " plt.axis(\"off\")\n", + " plt.show()\n", + "\n", + " # re-compute gradient and current objective function value\n", + " value, gradient = val_grad_fn(params)\n", + "\n", + " # outputs\n", + " print(f\"\\tJ = {value:.4e}\")\n", + " print(f\"\\tgrad_norm = {np.linalg.norm(gradient):.4e}\")\n", + "\n", + " # compute and apply updates to the parameters using the gradient (-1 sign to maximize)\n", + " updates, opt_state = optimizer.update(-gradient, opt_state, params)\n", + " params[:] = optax.apply_updates(params, updates)\n", + "\n", + " # we need to constrain the values between (0,1)\n", + " np.clip(params, 0, 1, out=params)\n", + "\n", + " # save history\n", + " objective_history.append(value)\n", + " param_history.append(params)" + ] + }, + { + "cell_type": "markdown", + "id": "e068f2a8-0522-49e6-a8e2-c06a0201d702", + "metadata": {}, + "source": [ + "## Analysis\n", + "\n", + "Now is the fun part! We get to take a look at our optimization results.\n", + "\n", + "We first plot the objective function values over the course of optimization, which should show a steady increase. Since the curve has not yet leveled off completely, we can conclude that we could run the optimization for longer to achieve even more improvements." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "799483e1-448f-4a20-b4e9-fbbea5955424", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(objective_history)\n", + "plt.xlabel(\"iterations\")\n", + "plt.ylabel(\"objective function\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "1ec30ee7-ccf4-463b-8dbb-43eed33fc3ff", + "metadata": {}, + "source": [ + "Next, we can look at the performance of our optimized device, we first construct it using the final parameter values and then take a look at the design." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "857429ef-e2a5-4b67-8489-b4e22b38b026", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "params_final = param_history[-1]\n", + "sim_final = get_sim(params_final)\n", + "sim_final.plot_eps(z=0)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2f0f78ae-7e1a-4abc-82bd-107fa69c05e6", + "metadata": {}, + "source": [ + "This optimized device seems to have some very intricate structures, which might be difficult to fabricate. This can be recifified by adding an additional loss term penalizing small structures. You can take a look at [this notebook](https://www.flexcompute.com/tidy3d/examples/notebooks/Autograd18TopologyBend/) on how this may be done.\n", + "\n", + "Let's add a multi-frequency mode monitor and a field monitor to inspect the performance." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "9f5416aa-8307-4948-833c-92a4cee6c90e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
09:24:27 CET Created task 'final_waveguide_crossing' with resource_id           \n",
+       "             'fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9' and task_type 'FDTD'.  \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:24:27 CET\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'final_waveguide_crossing'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718\n",
+       "             f-4e50-bcd9-5dc088dfdec9'.                                         \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=886468;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=589756;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=886468;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=680795;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=886468;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[32m-d8d70445-718\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=886468;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[32mf-4e50-bcd9-5dc088dfdec9'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Task folder: 'default'.                                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=119153;https://tidy3d.simulation.cloud/folders/folder-b09a5d67-f90e-4deb-9d9b-a702c3884aec\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f4fd98c38810402abd26c0409555b58f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
09:24:34 CET Estimated FlexCredit cost: 1.119. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:24:34 CET\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m1.119\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m \u001b[0mexecution details. 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 the billed \n", + "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
09:24:36 CET status = queued                                                    \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:24:36 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = queued \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             To cancel the simulation, use 'web.abort(task_id)' or              \n",
+       "             'web.delete(task_id)' or abort/delete the task in the web UI.      \n",
+       "             Terminating the Python script will not stop the job running on the \n",
+       "             cloud.                                                             \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or \n", + "\u001b[2;36m \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI. \n", + "\u001b[2;36m \u001b[0mTerminating the Python script will not stop the job running on the \n", + "\u001b[2;36m \u001b[0mcloud. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "72e5e0722c284027954eb9ed15c77c57", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
09:24:43 CET status = preprocess                                                \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:24:43 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
09:24:48 CET starting up solver                                                 \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:24:48 CET\u001b[0m\u001b[2;36m \u001b[0mstarting up solver \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             running solver                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mrunning solver \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4cabe7e5b19c4d6bb194607f373cc6c3", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
09:24:56 CET early shutoff detected at 4%, exiting.                             \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:24:56 CET\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m4\u001b[0m%, exiting. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
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+     "data": {
+      "text/html": [
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             status = postprocess                                               \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "ce91f041c4b94fd881b241f35f588010", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
09:25:02 CET status = success                                                   \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:25:02 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
09:25:04 CET View simulation result at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718\n",
+       "             f-4e50-bcd9-5dc088dfdec9'.                                         \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:25:04 CET\u001b[0m\u001b[2;36m \u001b[0mView simulation result at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=709817;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=235436;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=709817;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=782332;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=709817;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[4;34m-d8d70445-718\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=709817;https://tidy3d.simulation.cloud/workbench?taskId=fdve-d8d70445-718f-4e50-bcd9-5dc088dfdec9\u001b\\\u001b[4;34mf-4e50-bcd9-5dc088dfdec9'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "afe3792d3ddc44fda2589d03ddd89288", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
09:25:08 CET Loading simulation from simulation_data.hdf5                       \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m09:25:08 CET\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from simulation_data.hdf5 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sim0 = get_sim(params_final, with_fld_mnt=True)\n", + "sim_data_final = web.run(sim0, task_name=\"final_waveguide_crossing\")" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "3bf3d162-f158-4970-aac6-0a526ec9c319", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f, ((ax0, ax1), (ax2, ax3)) = plt.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n", + "sim_final.plot_eps(z=0.01, ax=ax0)\n", + "ax1 = sim_data_final.plot_field(\"field\", \"E\", \"abs^2\", z=0, ax=ax1)\n", + "ax2 = sim_data_final.plot_field(\"field\", \"Ex\", z=0, ax=ax2)\n", + "ax3 = sim_data_final.plot_field(\"field\", \"Ey\", z=0, ax=ax3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "a8f930a9-4416-49f0-95bb-e8335eef56e3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "transmission_final = abs(sim_data_final[\"mode_multiple_wl\"].amps.sel(direction=\"+\")) ** 2\n", + "transmission_final_db = 10 * np.log10(transmission_final)\n", + "\n", + "plt.plot(wavelengths, transmission_init_db, c=\"black\", label=\"Initial Design\", linewidth=3)\n", + "plt.plot(wavelengths, transmission_final_db, c=\"red\", label=\"Optimized Design\", linewidth=3)\n", + "plt.xlabel(\"wavelength (μm)\")\n", + "plt.ylabel(\"transmission (dB)\")\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "269a485f-cfec-42a3-88f7-97a24ebef5a1", + "metadata": {}, + "source": [ + "It seems to perform quite well! Let's export the simulation to a GDS file for fabrication!" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "58734838-82a9-434f-804e-632df1276407", + "metadata": {}, + "outputs": [], + "source": [ + "# uncomment below to export\n", + "\n", + "# sim_final.to_gds_file(\n", + "# fname=\"./misc/invdes_crossing.gds\",\n", + "# z=0,\n", + "# frequency=freq0,\n", + "# permittivity_threshold=(eps_mat + 1) / 2.0\n", + "# )" + ] + }, + { + "cell_type": "markdown", + "id": "defd1181-7b47-4f52-971d-1be05c4170aa", + "metadata": {}, + "source": [ + "## Other Examples\n", + "\n", + "Here are some other selected inverse design examples if you want to explore more!\n", + "\n", + "- [Mode converter](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd3InverseDesign.html)\n", + "- [Shape optimized taper](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd5BoundaryGradients.html)\n", + "- [Metalens optimization](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd7Metalens.html)\n", + "- [Wavelength division de-multiplexer](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Autograd9WDM.html)" + ] + } + ], + "metadata": { + "applications": [ + "Passive photonic integrated circuit components" + ], + "description": "This notebook demonstrates the inverse design of a compact waveguide crossing with permittivity binarization and minimum feature size control.", + "feature_image": "./img/adjoint_25.png", + "features": [ + "Adjoint inverse design" + ], + "kernelspec": { + "display_name": "tidy3d-env", + "language": "python", + "name": "python3" + }, + "keywords": "inverse design, silicon photonics, waveguide crossing, photonic integrated circuits, design optimization, topology optimization, adjoint, 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": "3.12.8" + }, + "title": "Topology Optimization of a Waveguide Crossing in Tidy3D | Flexcompute" + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/features/autograd.rst b/docs/features/autograd.rst index b771936a..b6e5246e 100644 --- a/docs/features/autograd.rst +++ b/docs/features/autograd.rst @@ -33,3 +33,4 @@ The adjoint method is an extremely powerful tool for photonics optimization, all ../../Autograd22PhotonicCrystal ../../Autograd23FabricationAwareInvdes ../../Autograd24DigitalSplitter + ../../Autograd25WaveguideCrossing.ipynb diff --git a/img/adjoint_25.png b/img/adjoint_25.png new file mode 100644 index 00000000..890f58ef Binary files /dev/null and b/img/adjoint_25.png differ