{
"cells": [
{
"cell_type": "markdown",
"id": "4f139d1c",
"metadata": {},
"source": [
"# S-matrix crossing: four-port inverse design\n",
"\n",
"This notebook reconstructs Tidy3D `Autograd27Smatrix.ipynb` with\n",
"FDTDX. The design keeps all 451×451 topology controls at 10 nm,\n",
"the 150 nm conic filter, β=30 projection, exact D4 symmetry,\n",
"geometry-derived plus-cross start, and the published four-port\n",
"power-vector objective. Only the FDTD raster is memory-adapted.\n",
"\n",
"The candidate result is a fully thresholded 0/1 material and is\n",
"scored by fresh FDTDX and independent Tidy3D forward solves. No\n",
"optimized Tidy3D pixels or warm-start checkpoint enter the run."
]
},
{
"cell_type": "markdown",
"id": "42e0eaed",
"metadata": {},
"source": [
"## Imports and accelerator"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "4d30b265",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:26.789720Z",
"iopub.status.busy": "2026-08-18T04:04:26.789166Z",
"iopub.status.idle": "2026-08-18T04:04:29.017887Z",
"shell.execute_reply": "2026-08-18T04:04:29.017503Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"JAX devices: [CudaDevice(id=0)]\n"
]
}
],
"source": [
"import os\n",
"os.environ.setdefault(\"XLA_PYTHON_CLIENT_PREALLOCATE\", \"false\")\n",
"import json\n",
"from pathlib import Path\n",
"from time import perf_counter\n",
"import warnings\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import jax\n",
"import jax.numpy as jnp\n",
"import yaml\n",
"from IPython import get_ipython\n",
"\n",
"from benchmarks.invdes_smatrix_runner import (\n",
" DESIGN_UM, DOMAIN_UM, EPS_SILICON, FDTD_DL_UM,\n",
" FEATURE_RADIUS_UM, LEARNING_RATE, PARAMETER_DL_UM,\n",
" PARAMETER_SHAPE, PROJECTION_BETA, PUBLISHED_ITERATIONS,\n",
" WAVELENGTH_UM, WAVEGUIDE_WIDTH_UM, _material_density,\n",
" initial_parameters, optimize_smatrix_crossing,\n",
" simulate_smatrix_design,\n",
")\n",
"\n",
"get_ipython().run_line_magic(\"matplotlib\", \"inline\")\n",
"warnings.filterwarnings(\"ignore\", category=FutureWarning, module=r\"tidy3d\\.components\\.mode\")\n",
"plt.rcParams.update({\"figure.figsize\": (10, 4.8), \"figure.dpi\": 120})\n",
"meta = yaml.safe_load(Path(\"benchmarks/cases/invdes_smatrix_crossing/case.yaml\").read_text())\n",
"print(f\"JAX devices: {jax.devices()}\")"
]
},
{
"cell_type": "markdown",
"id": "17139949",
"metadata": {},
"source": [
"## 1. Physical, filter, mesh, and optimizer parameters"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8cd168f6",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:29.019004Z",
"iopub.status.busy": "2026-08-18T04:04:29.018846Z",
"iopub.status.idle": "2026-08-18T04:04:29.024423Z",
"shell.execute_reply": "2026-08-18T04:04:29.024145Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" value | \n",
"
\n",
" \n",
" \n",
" \n",
" | wavelength_um | \n",
" 1.5 | \n",
"
\n",
" \n",
" | domain_um | \n",
" (7.5, 7.5) | \n",
"
\n",
" \n",
" | design_region_um | \n",
" (4.5, 4.5) | \n",
"
\n",
" \n",
" | waveguide_width_um | \n",
" 0.3 | \n",
"
\n",
" \n",
" | topology_controls | \n",
" (451, 451) | \n",
"
\n",
" \n",
" | control_pitch_um | \n",
" 0.01 | \n",
"
\n",
" \n",
" | minimum_feature_radius_um | \n",
" 0.15 | \n",
"
\n",
" \n",
" | projection_beta | \n",
" 30.0 | \n",
"
\n",
" \n",
" | FDTD_pitch_um | \n",
" 0.05 | \n",
"
\n",
" \n",
" | Adam_learning_rate | \n",
" 0.04 | \n",
"
\n",
" \n",
" | published_updates | \n",
" 25 | \n",
"
\n",
" \n",
" | symmetry | \n",
" D4 material symmetry | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" value\n",
"wavelength_um 1.5\n",
"domain_um (7.5, 7.5)\n",
"design_region_um (4.5, 4.5)\n",
"waveguide_width_um 0.3\n",
"topology_controls (451, 451)\n",
"control_pitch_um 0.01\n",
"minimum_feature_radius_um 0.15\n",
"projection_beta 30.0\n",
"FDTD_pitch_um 0.05\n",
"Adam_learning_rate 0.04\n",
"published_updates 25\n",
"symmetry D4 material symmetry"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.Series({\n",
" \"wavelength_um\": WAVELENGTH_UM,\n",
" \"domain_um\": (DOMAIN_UM, DOMAIN_UM),\n",
" \"design_region_um\": (DESIGN_UM, DESIGN_UM),\n",
" \"waveguide_width_um\": WAVEGUIDE_WIDTH_UM,\n",
" \"topology_controls\": PARAMETER_SHAPE,\n",
" \"control_pitch_um\": PARAMETER_DL_UM,\n",
" \"minimum_feature_radius_um\": FEATURE_RADIUS_UM,\n",
" \"projection_beta\": PROJECTION_BETA,\n",
" \"FDTD_pitch_um\": FDTD_DL_UM,\n",
" \"Adam_learning_rate\": LEARNING_RATE,\n",
" \"published_updates\": PUBLISHED_ITERATIONS,\n",
" \"symmetry\": \"D4 material symmetry\",\n",
"}, name=\"value\").to_frame()"
]
},
{
"cell_type": "markdown",
"id": "898258e7",
"metadata": {},
"source": [
"## 2. Published geometry-derived start\n",
"\n",
"The initial controls are reconstructed from the unoptimized base\n",
"simulation: two 300 nm silicon bars crossing in air. Filtering,\n",
"projection, and D4 symmetry are applied by the same function used\n",
"inside every differentiated solve."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "874ebfa4",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:29.025302Z",
"iopub.status.busy": "2026-08-18T04:04:29.025213Z",
"iopub.status.idle": "2026-08-18T04:04:30.131905Z",
"shell.execute_reply": "2026-08-18T04:04:30.131400Z"
}
},
"outputs": [
{
"data": {
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IiIiIiIiIiMoaoadHIUyfPh1nzpzBwoULAQBZWVn47LPPkJaWhsmTJ2vUHTduHBo2bIgXL168GoYQGDFiBNauXYt58+Zh3LhxhQvCwHjJKhERERERERFRWSPEq4fcfRZC7969kZSUhMmTJ2PWrFlIS0tDpUqVsHPnTq1LX6Ojo3H16lX1ZhDHjh3DsmXLUL58eSxbtgzLli3TqK9UKjFt2rTCjUePOCFHRERERERERERGNXz4cAwdOhT379+HqakpXFxcdNabP38+ZsyYAVtbWwBAkyZNEBERkWu/3GWViIiIiIiIiIiKBYV49ZC7z6IwMTGBq6trnnVq1qyp8bOVlRUaNmxYtCc2At5DjoiIiIiIiIiIyIBK3Qq5O3fuYMOGDdi5cyeSk5Oxfv161KtXT1LbxYsXY/HixTqP/f3336hSpYqcoRIREREZxbVr17Bhwwbs2bMHaWlpBcpzZs6ciY0bN+o8dvHiRRmjJCIiIr0qRveQK4tK1YTckiVL8P3336Nnz55wd3fHb7/9hpcvX0pu/++//+LSpUs4fvw4LC0tNY7Z2dnJHS4RERGRwX377bdYv349evXqhapVq2Lbtm3IzMyU3D4mJgY3b97E8ePH9RglERERUelWqibk+vfvjxEjRgAAZsyYUeh+vL29YW1tLVdYRERERMXG+PHj8c033wAAxowZU6g+ypUrBx8fHxmjIiIiIkNTCEChkr9PkqZU3UOOk2hEREREebOxsTF2CERERERlXqlaISeXHj16ICkpCfb29mjXrh0+/vhj9Xa6RERERGVdeno6OnTogMTERDg5OaFDhw4YPnw4LCwsjB0aERERScV7yBlVsZyQmz9/PlasWCGp7r59++Do6CjL85qammLYsGEICgqCg4MDTp8+jVmzZuHXX3/F0aNHUa1atVzbPnz4EI8ePdIoi4qKkiUuIiIiojd988032L59u6S6586dg4mJiSzPa2FhgVGjRqF9+/awsbHBP//8g0mTJmHFihU4fPgwKlasmGtb5ktERETFiPj/D7n7JEmK5YTcgwcPcOnSJUl1MzIyZHveCRMmoHz58uqfW7dujXbt2qFly5b44osvsHbt2lzbLly4ENOmTZMtFiIiIqK83L9/X3K+JGT8tnru3Lka+VK7du3QrFkzdOrUCdOnT8cPP/yQa1vmS0RERESvFMsJuXHjxqFv376S6jo5Ocn2vK8nlzl8fX3RpEkT7NmzJ8+2o0aNQq9evTTKoqKi0L17d9niIyIiIsrx7bffIjQ0VFJdU1P5Uj5d+VLHjh3h4uKCPXv25Dkhx3yJiIio+FAIQCHzJabc1EG6Yjkh5+zsDGdnZ2OHoWZnZ4fU1NQ86zg6Osp26SwRERFRfmrWrImaNWsaOww1Ozs7JCcn51mH+RIRERHRK6Vql1V9SE5OxoULF9CwYUNjh0JERERULCUkJODmzZvMl4iIiEqSnE0d5H6QJGV2Qu6XX36Bj48PLl68CADIzs7G+PHjERMTo67z+PFjhISE4OnTp/jmm2+MFCkRERGRcXz77bfw8fFR50ePHj3C119/jYcPH6rrxMTEoE+fPgCASZMmGSVOIiIiopKmWF6yWlgREREYMGAAgFff1AJAnz59YGlpiUqVKuHQoUPquvHx8bh06ZL60goTExO4u7ujffv2SExMhK2tLe7du4cGDRpg27Zt6Nq1q+EHRERERCSzQ4cOYfz48QCAuLg4AED79u1hamoKd3d3bNq0SV03Z+OI9PR0AEDFihVha2uLZs2aISMjAxYWFoiJiYGvry/27duHt956y/ADIiIiosIRAFR66JMkKVUTcm5ubli1apXOY2/ezHjMmDHo2bMnPDw81GWjR4/G6NGj8fTpU/z7779wdHSEvb29PkMmIiIiMqimTZvmmi9ZWlpq/DxlyhSMGTNGfa86MzMzTJgwARMmTMDDhw/x+PFjODs7o1KlSvoOm4iIiGSmEEIPmzpwRk6qUjUhV6FCBfj4+EiqW7VqVVStWlXnscqVK6Ny5coyRkZERERUPNjZ2UnOl1xcXODi4qLzGDdoICIiIiq8UjUhR0REREREREREEuhjEwaukJOszG7qQEREREREREREZAxcIUdEREREREREVNZwhZxRcYUcERERERERERGRAXGFHBERERERERFRWaP6/w+5+yRJOCFHRERERERERFTGKCCgkPkSUwV4yapUvGSViIiIiIiIiIjIgLhCjoiIiIiIiIiorBHQw6YO8nZXmnGFHBERERERERERkQFxhRwRERERERERUVkjhB5WyHGJnFRcIUdERERERERERGRAXCFHRERERERERFTWcIWcUXFCjoiIiIiIiIiorFH9/4fcfZIkvGSViIiIiIiIiIjIgLhCjoiIiIiIiIiozBFQyH6JKS9ZlYor5IiIiIiIiIiIiAyIK+SIiIiIiIiIiMoabupgVFwhR0REREREREREZEBcIUdEREREREREVNaoxKuH3H2SJJyQIyIiIiIiIiIqawT0cMmqvN2VZrxklYiIiIiIiIiIyIC4Qo6IiIiIiIiIqKzhpg5GxRVyREREREREREREBsQVckREREREREREZY4eVsjxJnKScYUcERERERERERGRAXGFHBERERERERFRWaMSrx5y90mScEKOiIiIiIiIiKisEapXD7n7JEl4ySoREREREREREZEBcYUcEREREREREVFZIyD/pg68YlUyrpAjIiIiIiIiIiIyIK6QIyIiIiIiIiIqa4QeNnWQe8VdKcYVckRERERERERERAbEFXJERERERERERGWNEHq4hxxXyEnFFXJEREREREREREQGxBVyRERERERERERlDVfIGRUn5IiIiIiIiIiIyhpOyBlVqZqQy8rKwl9//YVDhw7h/v37qFatGgICAtCjRw8oFApJfWRmZmL58uU4fPgwsrKy4Ofnh1GjRsHW1lbP0RMRERHpX3p6OrZs2YJjx44hLi4OLi4uCA4ORseOHSX3kZqaisWLF+PEiRNQKBRo1aoVhg8fDgsLCz1GTkRERFR6lKp7yNWsWRODBg2CtbU1QkJCULVqVQwZMgQBAQF4+fJlvu3T0tIQEBCA7777Du3bt4dSqcTGjRvh5+eHR48eGWAERERERPqTmJiI6tWrIzQ0FE5OTggJCYG1tTV69OiB999/H9nZ2fn2kZSUhBYtWmDZsmV477330LlzZ/zyyy9o1aoVkpOTDTAKIiIikoVKACqVzA+ukJOqVK2Qc3FxwebNm1G9enUAwPvvvw8/Pz8EBQVh/vz5mDhxYp7t582bh2PHjuHixYto1KgRAODdd9+Fu7s7Jk6ciBUrVuh9DERERET6kp6eDl9fX/z555+oXLkygFf5koeHBwYPHozff/8dAwcOzLOPKVOm4NatW4iKikKNGjUAAG3atEHdunUxa9YszJo1S+/jICIiIirpStUKuYMHD6on43K0b98eCoUCJ0+ezLf9ypUr0axZM/VkHADY29ujR48eWLduHVJTU2WPmYiIiMhQqlSpgp07d6on43K8++67AJBvvpSdnY01a9agY8eO6sk4AHB1dUX79u2xcuVKCN47hoiIqIQQ/3cfObkeYB4gVamakLOystIqu3r1KoQQqFKlSp5tExMTcevWLTRp0kTrWJMmTfDy5UtERETIFisRERGRoZmZmcHMzEyr/MqVKwCQb75069YtJCYm5pov/fvvv7h//748wRIRERGVYsXyktWVK1di/fr1kur+/vvvsLe313lMCIEvvvgCAPK9/OLBgwcAAEdHR61jTk5OGnV0efjwodZ95qKiovJ8TiIiIqLC+uGHH7B//35JdXft2oVy5XR/D5uRkYFJkybBxMQE/fv3z7OfuLg4APnnS7Vq1dLZnvkSERFRMcJdVo2qWE7I3bhxA3v37pVUNy0tLddj//nPf7B//36MHj0arVu3zrOfzMxMAICpqfZLkvNNckZGRq7tFy5ciGnTpkkJmYiIiKjIIiIiJOdLKpUq1wm50aNH4/z585g+fTo8PT3z7If5EhERUSmiEvJvwsBNHSQrlhNyQ4YMQbt27STVdXBw0Fk+b948zJw5E0qlEj///HO+/djY2AAAUlJStI7l7Bhma2uba/tRo0ahV69eGmVRUVHo3r17vs9NREREVFCfffYZ+vbtK6muiYmJzvKJEydi2bJlGDlyJL7++ut8+2G+RERERCSPYjkhV7duXdStW7fQ7RctWoRPP/0U3bt3x59//plrEvq6WrVqoXz58rh3757Wsbt376rjyo2jo6POyzeIiIiI9MHb2xve3t6Fbj916lTMnTsXH330ERYuXCipTU4ulFu+pFAo4O7unmt75ktERETFiFBBCJXsfZI0pWpTB+DV/edGjx6N9957Dxs2bNB542JdTE1N8c477yA8PBzZ2dkaxw4cOAA3Nze4ubnpI2QiIiIig5o9ezamTZuGIUOGYMmSJVAoFJLaOTg4oHHjxjh48KDWsb///htvv/22ehUdEREREeWuVE3IrVu3DsOGDUPXrl2xcePGPCfjVq9ejU6dOuHq1avqsq+++goJCQmYPXu2uiwsLAz//PMPJk+erNfYiYiIiAxh/vz5+OqrrzBkyBAsW7Ysz8m4n376CZ06dUJ8fLy6bPLkybhy5QqWL1+uLlu4cCFu3bqFSZMm6TV2IiIikpHA/91HTq4HbyEnWbG8ZLUwnj17hgEDBkClUuHFixd47733NI57enpi3rx56p9v3ryJvXv3atwvpW3btli1ahXGjh2LdevWoUKFCrh8+TKmT5+OwYMHG2wsRERERPpw+/ZthIaGwsTEBLGxsQgKCtI4/vbbb+Obb75R/3zlyhXs3btX455xvXr1wo8//oixY8di4cKFUKlUuHXrFhYtWoTg4GCDjYWIiIioJCs1E3IVKlTAjh07cj1esWJFjZ8HDhyIVq1aoWHDhhrlH374IXr16oWLFy8iKysLjRo1gp2dnT5CJiIiIjIoJycn7Nq1K8/jrxs/fjx69uyJatWqaZUPGzYMly5dgkKhgI+PD6ysrPQSMxEREemJEK8ecvdJkpSaCTkzMzN06tRJcn0PDw94eHjoPGZpaYm33npLrtCIiIiIigVra+sC5UteXl7w8vLSeczGxgatWrWSKzQiIiIyNJUKUMi8CYOKmzpIVaruIUdERERERERERFTclZoVckREREREREREJBEvWTUqrpAjIiIiIiIiIiIyIK6QIyIiIiIiIiIqY4QQEDLf801whZxkXCFHRERERERERERkQFwhR0RERERERERU1vAeckbFCTkiIiIiIiIiorJGJQDIPIGm4oScVLxklYiIiIiIiIiIyIC4Qo6IiIiIiIiIqKwRqlcPufskSbhCjoiIiIiIiIiIyIC4Qo6IiIiIiIiIqIwRAhAy3/ONezpIxwk5IiIiIiIiIiIyqpSUFKxYsQLnzp2DqakpAgIC0LdvX5QrJ+3izqK2N7TiGRUREREREREREelPzj3k5H4UwqNHj+Dn54clS5bA398fXl5e+PTTT9G1a1dkZWXpvb0xcIUcEREREREREVEZI1QCQiH3JauF62/ChAl48OABbt26BUdHRwDA22+/jZYtW2Lx4sUYM2aMXtsbA1fIERERERERERGRUaSkpGDdunXo0aOHejINAFq0aAEfHx8sXbpUr+2NhRNyRERERERERERlTTG5ZPXSpUtIS0uDr6+v1jE/Pz9EREQgJSVFb+2NhZes6lF6ejoAICoqysiREJVsOX9LxnDz5s1i+eZNVFLkfAYa8++Yirec341UJAPcmY2oUMqlPUJsVCquPU2HqcyXn+UnJvUlXqQ+QoZ4Vuh7RxGVdalIBmD4fCkVKbJ/9qbi1f9OuuZBHBwcNFaw5YiNjQUAODk5aR1zcnKCEALx8fFwd3fX+ZxFbW8snJDTo5iYGABA9+7djRsIERVax44djR0CUakQExODpk2bGjsMKoZy8qXLOGHkSIhKsNvAcSUw2WgBXDPaMxOVJobKlypVqgQbGxtcfnFcL/2XL19e5zzIlClTMHXqVK3yjIwMAICpqfYUlZmZGQAgLS0t1+crantj4YScHrVt2xZbt26Fi4sLzM3N9fIcUVFR6N69O7Zu3VrsZnsLorSMAyg9Y+E4iheOo3jhOKRLT09HTEwM2rZtq5f+qeRjviQdx1H8lJaxcBzFC8dRvJTGfKlatWqIjIxEYmKiXvrPzs6GiYmJVrmDg4PO+tbW1gCA1NRUrWM5VyvZ2Njk+nxFbW8snJDTo4oVK6Jbt24GeS53d3d4eXkZ5Ln0qbSMAyg9Y+E4iheOo3jhOKThyjjKC/OlguM4ip/SMhaOo3jhOIqX0pYvVatWDdWqVTPoc+bGw8MDABAdHa11LDo6GhYWFqhRo4be2hsLN3UgIiIiIiIiIiKj8PT0RLVq1XD48GGN8uzsbISHhyMgIEDniju52hsLJ+SIiIiIiIiIiMgoypUrh88//xx///039u3bpy6fN28eEhISMHHiRI36c+fORc+ePdWXqBa0fXHBS1aJiIiIiIiIiMhoQkNDERsbi65du6JVq1ZISUlBREQEfv31V7Rp00aj7vHjx7Ft2zYsW7YMFSpUKHD74oITciWcg4MDpkyZkuvNEUuK0jIOoPSMheMoXjiO4oXjICpZSsvvOsdR/JSWsXAcxQvHUbyUlnEUdwqFAj/88AM+//xzXLx4EaampmjRogVsbW216k6cOBEhISGwsrIqVPviQiGEEMYOgoiIiIiIiIiIqKzgPeSIiIiIiIiIiIgMiBNyREREREREREREBsQJOSIiIiIiIiIiIgPihBwREREREREREZEBcZfVEujSpUvYuXMnbt26hUqVKsHPzw99+/aFiYmJ5D7279+Pbdu2ISkpCZ6enhg6dCiqVq2qx6i1CSFw4sQJbNy4ETExMejXrx+USqWktnfu3MGECRN0Hvv4448RGBgoZ6j5On/+PDZs2ICoqCgEBQVh6NChBWp/8eJFrF27Fg8ePICLiwsGDhwIT09PPUWbuxs3buC3335DdHQ0qlatig8++AC+vr75tlOpVOjdu7fOY4V5PaSIjo7GihUrcPv2bVSpUgW9e/eGv7+/wdrLJSEhAcuXL8e1a9dgZ2eHbt26oUOHDpLajhs3DnFxcVrlXl5emDZtmtyh5unhw4cICwvDkSNHYG5ujt9++61A7ZOSkrB8+XJcunQJlpaW6NSpE3r06KGnaHP39OlTbNmyBX///TcyMjKwYcMGlCsn7burH374ASdOnNAqt7W1xYoVK+QONVfZ2dnYu3cvjh49iri4OLi4uKBTp05o3bq15D4yMjKwevVqHD9+HEII+Pv7Y+DAgTAzM9Nj5ETyOnXqFPbs2YM7d+7AwcEBLVu2hFKphEKhkNzH9u3bsWvXLqSkpMDb2xvDhg1D5cqV9Ri1tuzsbBw5cgRhYWFISEgoUJ5z7tw5fPfddzqPffXVV5I+4+VSlLwvx/Hjx7FhwwY8fvwYbm5uGDx4MGrXrq2fgPNQ2Lzt6dOnGD58uM5jhXk9pIiMjMRvv/2G+/fvw9nZGf3790eTJk0M1l4uRcnbBg4ciJSUFK3yVq1aITQ0VOZI8xYbG4uNGzfixIkTcHZ2xs8//1yg9kXJG+VUlLxvypQpuHr1qlZ59erVC/x6FEVGRgZ27NiBU6dOISEhAbVq1UL37t3RtGlTyX2kpKRgxYoVOHfuHExNTREQEIC+fftKzh2J+JtSwvTt2xdNmzbF9evX0a5dO1StWhUTJkxA48aNdf5jrstnn32Grl27okqVKujQoQMOHz6Mhg0b4sqVK3qO/v/ExcWhdu3a+Pzzz6FSqRAWFobr169Lbv/06VOEhYXBxcUFffv21Xi4ubnpMXJNqamp8PDwwLBhw6BQKBAWFoYLFy4UqI9Vq1ahWbNmSE5ORlBQEBISEuDj44Nt27bpKWrddu7cicaNGyM6OhpBQUHIzMxEy5YtsWzZsnzb5pzD7OxsrfOhj2T/n3/+gZeXFy5evIhOnTrBwsIC7dq1w9y5cw3SXi5XrlyBl5cXDhw4gA4dOsDJyQndu3fHZ599Jqn93r17ce/ePa3XPCAgQM+Ra/r000/h4+ODiIgIREREFPh39/79+2jUqBHWrVuHd955B25ubhgyZAhCQkJgyI3AZ8yYgQYNGuD48eOIiopCWFgYVCqV5PYnTpxAeHi41vkw5MTiixcvULt2bfTv3x8qlQrt27dHamoq2rdvry7LT3JyMtq0aYOZM2fC19cXzZo1w6xZs9C2bVukpqYaYBRERRcYGIjWrVsjJiYGAQEBsLOzw8iRI9GyZUs8ffpUUh+DBg1CSEgIatWqhcDAQGzduhWNGjXC3bt39Rz9/4mIiICLiwtmzpyJzMxMhIWFFej54+PjERYWBm9vb633purVq+sxck1FzfsA4Pvvv0fbtm1hZmaGTp06ISIiAg0bNsTRo0f1FLVuRcnbUlNTERYWBhsbG63z4eXlJXus27ZtQ+PGjREbG4ugoCCkpaWhefPmWLVqlUHay6WoeVvOIoQ3X/O33npLz5FrCgkJgb+/P2JiYnDixAns3bu3QO2LmjfKpah535EjR3DhwgWt89G5c2c9RawtOjoaNWrUwOjRo2FpaYmAgAAkJCSgRYsWGDdunKQ+Hj16BD8/PyxZsgT+/v7w8vLCp59+iq5duyIrK0vPI6BSQ1CJEhQUJMLDwzXKoqKihLm5ufjggw/ybX/48GEBQCxevFhdlpmZKRo2bCh8fX1ljzc3L168EDExMUIIIS5cuCAAiOnTp0tuf+bMGQFA/Pnnn/oKUZKMjAwRFRUlhBAiPj5eABCjR4+W3P7BgweiQoUKYuTIkRrlffv2FZUrVxZJSUmyxpubFy9eCAcHB9G9e3eN8tDQUGFhYaE+V7nJzMwUAMTEiRP1GaYQ4tVr7urqKlq3bi1UKpW6fMaMGcLExERcuXJFr+3l5OfnJzw9PUVGRoa6bNmyZQKAOHToUL7t69WrJzp37qzHCKW5efOmyMrKEkIIERgYKOzs7ArUvkuXLsLZ2Vk8f/5cXbZz506D/41HRUWpz0WfPn0EAJGZmSm5vVKpFLVq1dJTdNI8evRI+Pv7i7i4OI3ynN+r1atX59vHl19+KUxNTcWtW7fUZbdu3RKmpqZi8uTJssdMpA9t2rQR58+f1yi7cOGCUCgU4pNPPsm3/aZNmwQAsWnTJnVZSkqKqFmzpujYsaPs8ebmyZMnIiEhQQghxO7duwUAsXTpUsntd+zYIfkzRZ+KmvddvXpVmJiYiKlTp2qUv/POO8LV1VXjc1Sfipq3xcTECABi3rx5eozylWfPnokqVaqInj17apSPGTNGVKhQQetzQu72cpEjb7OzsxNDhw7VZ5iSREZGqsfg5eUl6tWrV6D2Rc0b5VLUvK9t27YG/b9Tl4iICBEcHCyePHmiUT5jxgwBQOzbty/fPgYNGiRsbW3V79FCCHHy5EkBQPzvf/+TPWYqnbhCroT5888/tS47cnNzg6enJ8LDw/Ntv2zZMpibm2PgwIHqMlNTUwwbNgznzp0r8OquwrK2tkaNGjUM8lz6ZGZmVqQVeX/88QdSU1MxYsQIjfKRI0fi6dOn2Lx5c1FDlGTbtm149OiRzjjS0tKwZs0ag8QhxcGDB3H37l0MHz5c47KjESNGQKVS5XtpYFHby+XSpUs4e/YshgwZonEZ4IABA2BlZYWlS5caJA45eHh4FOiS+dfFx8fjr7/+wgcffAAbGxt1eefOneHi4mLQ18HNza3EX5JpZ2eH/fv3o1q1ahrlXbp0AYB8PyeEEFixYgUCAwPh7u6uLnd3d0f79u2xfPlyg65aJCqs7du3a11W5+Pjg+rVq0vOlxwcHDRWuFaoUAEffvgh9u7di/v378sesy6VK1eGo6OjQZ5Ln4qa961cuRLZ2dlal3uOGDECd+/exYEDB4oaoiTFJW+TYsuWLXjy5InOWFNTU7F27Vq9tpdLccnb5FCvXr0CXTL/uuKUNxYl7ysuXF1dsW3bNq1bEEjNl1JSUrBu3Tr06NFD4z26RYsW8PHxKVF5PBkX7yFXwtjZ2WmVpaenIzo6WtKlB6dOnYKXlxcsLCw0yv38/AAAJ0+eNMp9IQprzZo12L59OywsLNC0aVP0798flSpVMnZYkp06dQpmZmbw9vbWKH/9fAwePNggcQDQury0Xr16sLa2xsmTJyX1c/jwYQwYMAAKhQL169dH//79UatWLYPEam9vj1q1auUba1HbyyW3OMqXLw9vb2/Jcdy4cQNDhgxBeno6XF1d0atXLzRu3Fj2ePXlzJkzEELovLTZ19cXBw4cgBCi0AmsoSUlJWHEiBF48eIFqlWrhuDgYINeQmxmZqZzUvHGjRsAgIoVK+bZ/u7du3j48KHO8+Hn54c9e/bg3r17cHV1lSVeIn3RlS8lJibi4cOHGpPNuTl16hSaNWumdR+gnM/nU6dOoWbNmvIEawALFizAr7/+CisrKzRv3hz9+vWDtbW1scOS7NSpU6hWrRqcnZ01yl/Pl4KCggwShxx527Zt23DmzBl1XyEhIXBycpI9VkA7z/Dy8oKlpWWh8yWp7eUiV9525swZDBo0CNnZ2XB3d0e/fv1Qt25d2ePVF7nyxuLiwYMH+Oijj5CSkgIXFxd0797doJcQW1lZ6SyXmi9dunQJaWlpueZLy5cvR0pKSq7PQ5SDE3JGcvLkSfz3v/+VVHfixIlo1qxZrsdnz56NxMRETJw4Md++YmNj0a5dO63ynCRA6n3ockRGRuLrr7+WVHfEiBF49913C9R/XlxdXdGkSRN4eHjg3r17mDFjBqZPn46dO3fm+Xrp8u+//2LMmDGS6vbu3TvXDQwKKjY2Fvb29lrfMllZWcHKyqrA5yMtLQ0hISGS6nbo0EH9TXNsbCwUCgUcHBy06jk5OUmKo3LlymjZsiUaN26MJ0+eYNWqVZg+fTpWrVqFPn36FGgceYmNjVXHVZhYi9peLvnFIWW1qqWlJZo0aYKWLVsiLS0NW7ZswaxZs/Dtt99K/rs0tvxeh+TkZDx79izfxKg4MDExQWBgoPpLj7///huBgYEICQnBb7/9ZrQb/GZnZ2PSpElQKBT44IMP8qyb3/kAXn1OcEKODGX//v1YsmSJpLozZsxA/fr1cz3+zTffICMjI9/PydTUVCQmJub7d1AQcuZ9BdWgQQN4e3ujdu3auHnzJiZMmICZM2di3759BZ6QMFbeFxsbK+v5KGzeJ0fe5uzsjGbNmqFBgwaIj4/HggUL8O2332LTpk2y5smxsbEwMzPT+UW1o6OjpHypKO3lIkfeZmtrC39/f/j6+uLZs2f4888/MWPGDCxYsEBrBWBxJUfeWFyYmZmhXbt2aNq0KYQQ2L17N+bOnYuxY8di/vz5Rovr5cuXmDp1KszNzdGrV6886+Z3PoQQiI+Pl/QFEJVtnJAzktjYWISFhUmqGxISkmtitmfPHkyfPh1+fn4YP358vn1lZGTA1FT7tOesqEhLS5MUU47Hjx9LHkf79u1lSzTq1auH69evw9zcXF02atQoNGrUCH379sXNmzcLtJQ6OTlZ8jgaNmxY4Hhzk9v5AF6dk4Kej6ysLMnjsLe3ly0OExMT3LhxQ6PPcePGoU2bNhg8eDBat26tdQldYWVkZABArr/H+cVa1PZyyS+O9PT0fFeG7du3T2MS9ZNPPsGgQYPwn//8B23bti3QrprGkt/rABT8fclYFixYoHE+hg8fjmbNmuGLL76Av78/Ro4caZS4JkyYgGPHjmHChAn5roAuTeeDSofbt29L/lzLa7fEP/74AwsWLED79u3zXcGkj78DufK+gvL398fly5c1cqKhQ4fCx8cHH374YYFX1Rgr75M7fy1s3lfUfMne3h43btzQuEXDJ598gqZNm6Jfv364d++ebCsXixqr3DlqYcmRt507d07j8zk0NBRdunTB6NGj0bZt2zwn8osLOfLG4uKPP/7QOB+jRo3Cl19+iTlz5qBNmzbo2bOnwWMSQuCjjz7C9evX8eOPP+a7Apr5EsmFE3JG8tZbb2Hjxo2S6jZv3lxn+T///AOlUgl3d3fs3LkT5cuXz7cva2trnbvk5WwF/nqCIIWnp6fkcRRkC+n86IrTwcEBQ4cOxcyZM3Hx4sUC7e7p7OwseRwNGjSQ3G9+rK2tce/ePZ3HUlNTC3w+LC0tJY/j9XvfWVtbIzMzE1lZWVofLCkpKfleDq1QKDQm44BXH0afffYZevXqhd27d2Po0KESR5G3nEQ1NTUVtra2WrHm95oVtb1cXo/jTSkpKbC2ts43qdK1ovHLL7/Eb7/9hs2bN5eICbn8Xgeg4O9LxqLrfISGhuLrr79GWFiYUSbkZs2ahR9//BEffPABvvvuu3zrl6bzQaVDhw4dJH+ueXp66iz/66+/MGjQIPj6+mLTpk35rla1srKCQqGQ9e9AjryvMHStbqpTpw569+6N5cuXIy4urkC7rRor75M7fy1s3lfUvM3CwkLrtjFWVlYYO3Ysxo4diyNHjsi206S1tTXS09OhUqm0fudTUlJQtWpVvbaXixx525ufz+XKlcOECROwe/dubNu2rURMyMmRNxYXueWvc+bMQVhYmFEm5EJDQ7F27VqEhoZKWuTCfInkwgk5I6levXqR3mxOnz6N4OBgVK9eHQcPHpR83wkPDw9ER0drleeUeXh4FCiOKlWqGOVNMzc5ycHTp08L1M7Kysoo4/Dw8MCRI0eQnJys8Y1ofHw8MjIyCnw+TExMCjWOnOeJjo7WmKjLyMhAfHy8zsucpSjs+cjL67G+mQzev38/339kitpeLq/H4ePjo3EsOjq6wOc+hz5ec316/XV4U3R0NJydnUv0/TdMTU1hb29vlPMxb948TJ48Gb1798bq1aslXTKb3/l4vQ6RIdSpUwd16tQpdPsDBw6gZ8+eaNiwIfbt26fz3nJvMjMzQ61atWT9Oyhq3ie31z8rCjIhZ6y8LydfenMFUGHPR2HzPrnzthz6ypdUKhViYmI07ueblpaGhIQEdOrUSa/t5aKvvK0k50ty5o3FhZ2dHSwsLIxyPr788kvMnz8fY8aMwbx58yS1yS9fsrCwKBUbGJL+cZfVEujChQvo2LEjnJyccOjQoQJdChgYGIioqCj1de85Dh48iHLlyhn05uP6cP78eQAoMdfrBwYGAgCOHDmiUX7w4EEAkPVeIlLiOHz4sEb50aNHkZWVVeg49HE+cov10qVLePLkSb6xFrW9XNq1awcTExOtOOLj4xEZGVmsXnN9atGiBaytrbVeh5SUFJw+fdpg50NfEhIS8ODBA4Ofj0WLFuHTTz9Fr169sHbtWsmX8FepUgWNGzfWOh8AcOjQITRt2lRrRzKi4io8PBzdunVD/fr1ceDAgQL97gYGBuLChQt4/vy5RvnBgwdRoUIF+Pv7yx2uQZ0/fx6mpqayb7ykL4GBgXjx4oX6My6HsfIlufM2Q+ZLR44cgUqlKnS+JLW9XPSVt5W0fElfeWNxcf36daSlpRn8fEyZMgVz5szBqFGj8L///U9yO09PT1SrVk3rfGRnZyM8PBwBAQElfidaMhBBJcrVq1eFvb29cHd3F7GxsXnWPX36tFAqlWLnzp3qspiYGGFlZSVCQkKESqUSQghx69YtYWdnJ4YOHarX2HNz4cIFAUBMnz5d5/GbN28KpVIpfv/9d3XZ77//rjX+zZs3CxMTE9GtWzd9hpur+Ph4AUCMHj1a5/GHDx8KpVIpFixYoC5LT08XHh4eolmzZiIlJUUIIURSUpJo0KCB8PPzU58jfVOpVKJly5bCw8NDPHnyRAghxMuXL0WrVq1EnTp1RFpamrpuRkaGUCqVYsaMGeqyXbt2icuXL2v0ee7cOVGlShVRt25djfZyCA4OFs7OziIuLk4IIURmZqbo3LmzcHR0FElJSRp1Q0JCxIQJEwrdXp+GDBkibGxsRGRkpBDi1XkYNGiQsLKyEjExMRp1x4wZI4YPH67++fTp0+LgwYMadaKjo0XDhg2FnZ1dvu8P+hIYGCjs7OxyPf7111+L3r17a5RNmjRJmJmZiZMnT6rLJk6cKExNTbV+rwylT58+AoDIzMzUeXzOnDlCqVSq/26jo6PF+vXrRXZ2trpOYmKiCAoKEiYmJuLo0aMGiVsIIVauXCkUCoXo2bNnrvHnWLJkiVAqleq/BSGE+OOPPwQAsXr1anXZmjVrBACxceNGvcVNJKeTJ08Ka2tr0bhxY/H48eM86x44cEAolUoRHh6uLrt69aowMzMT48aNU5dduHBBWFhYiIkTJ+or7Dzt3r1bABBLly7VeVxX3rd8+XLx6NEjjXq//vqrACBGjBih13hzU5i8LykpSTg6OopOnTqJjIwMIcSrvKt69eqic+fOBolbiILlbbryvk2bNomoqCiNPg8dOiQsLS1Fy5YtZc37VCqV8PPzE/Xq1ROJiYlCCCFSU1PFW2+9JTw8PER6erq67suXL4VSqRTfffddodrrW1HyvoMHD4rTp09r1Ll+/bqoWbOmqFatmnj27Jn+B6CDl5eXqFevXq7H38z7hChY3mgoBc37rl27Jnbs2KFRJyEhQfj7+wtzc3MRERGhr1C1zJkzRwAQH3/8cb5/e2/mfUII8eOPPwqFQiH27t2rLvv++++FQqEQR44c0VvcVLpwQq6EadiwoQAg3n77baFUKjUeb/6Tu2XLFgFAzJs3T6N8//79wsnJSdSvX18EBQUJa2tr0b17d403GEMYPHiwUCqVon379gKA8PLyUo/l5s2b6nonTpwQADQS4LVr14r69esLb29vERwcLBo0aCBMTEzEgAEDxPPnzw06jvHjxwulUim6dOkiAAg3Nzf1OF5PAO7evSsAiIEDB2q0j4yMFA0aNFAnlU5OTsLX11fcv3/foOOIjY0VzZs3Fw4ODqJz587CxcVF1K9fX1y7dk2j3suXLwUA0bFjR3VZeHi4aN68uahbt64ICgoSfn5+wsTERAQGBop79+7JHuuTJ09EQECAqFixoujcubNwc3MTtWrV0kq4hBDCyspK+Pr6Frq9PqWkpIgePXoIKysrERQUJBo0aCAcHR3F/v37teq6ubmJ6tWrq3++efOm6NSpk6hVq5Z49913hb+/v7C0tBSNGjUy+Di2bNmi/p13dHQUZmZm6p//+9//atT19/cXJiYmGmWZmZli6NChwtzcXHTo0EE0adJE2NnZiQ0bNhhyGOp/ypVKpahRo4YAIN5//32hVCrFN998o1G3W7duAoD6n5SnT5+KkJAQUb16ddG2bVv175eLi4vYunWrwcYQHR0tTExMRLly5US3bt20Pide/2dLCCFGjBghAIjr169rlM+aNUuYm5uL1q1bi9atWwtzc3Mxe/Zsg42DqKiqVq0qAIh33nlH6+9g2LBhGnWXLl0qAIg1a9ZolG/evFlUqlRJNGrUSHTs2FFYWlqKDz/8UD0hZAjZ2dnquFu1aiUACF9fX3XZw4cP1XV15X2//PKLcHNzE02aNBHBwcHCw8NDmJubizFjxhh0QkWIouV9Qghx5swZUbt2beHq6io6d+4sKlWqJNq1a6f+ItFQpOZtuvK+nTt3ikaNGglPT08RHBwsfHx8RLly5UT37t01zqVc7t+/L/z8/ISjo6Po0qWLqFGjhvD09FRP6OR48eKFAKA1uSm1vb4VJe87d+6caNOmjXBzcxMdO3YULVq0EGZmZuKtt97S+uzTt5UrV6p/521tbYWNjY3652XLlmnUfTPvE6JgeaM+FSXvi4uLE0qlUri4uIiAgADRtm1bYWNjI9zd3cWBAwcMNoazZ88KAMLc3Fyd673+WLRokUb9N/M+IV5NiH766aeifPnyIiAgQLRo0UJUqFAh1y9NiHRRCCGEQZbikSx2796tvlHkm8qVK4f3339f/fODBw9w/Phx+Pj4aC3/zcjIwMmTJ/Hs2TPUr1/fKPcd2LFjB9LT03UeCwgIUF9a8vTpUxw8eBD169fX2OlKpVIhMjISd+7cgaWlJXx8fFClShWDxP66/fv349mzZzqPvf322+pLilNTU7Fr1y7Url0bfn5+GvWEEDh79iz+/fdf1KhRI9+dEPXp0qVL6vt0+Pn5ad13SqVSYfPmzahatSpatWqlcezu3bu4ceMGAMDLywsuLi56jfXatWu4ffs2qlSpgubNm+vc6Wjr1q2wtbXVeTm2lPaGEBUVhcjISNja2qJFixYauwfn2LNnD1QqFYKDgzXK4+Pjce3aNfUy/3r16hkqbLUbN24gIiJC57EaNWqgZcuW6p8PHz6Mp0+farxX5bh//z4iIiJgaWmJli1bokKFCnqLWZd79+7h7NmzOo85ODigbdu26p9PnDiBuLg4dOvWTb2bFgAkJibiypUrSEpKgouLC7y9vQ16ycKLFy+wd+/eXI87OztrXGp34cIF3L59Gx07dtS6+fCTJ09w5swZKBQK+Pn5GeX9laiwtm7diqysLJ3HLCws0KVLF/XPOX/7zZs319pZ7+XLlzh58iRSUlLg7e1t8Es8hRB57gYaHBysfq/MLe/LysrCtWvXEB0dDVtbWzRp0kTr5viGUNS8D3h1Odjp06fx+PFj1KlTB15eXnqPWxcpeVteed/Nmzdx69YtlC9fHt7e3nrfIOHixYuIiYlB1apV4evrq5XbZWdnY8uWLVqfEVLbG0pR8r6YmBhcv34d2dnZqF+/PlxdXQ0VttqlS5dw69Ytncfc3d017g2XW94HSMsb9UmOvO/x48e4cuUKkpOTUbt2bXh5eRl0U4pHjx5pXXr+OldXV40NAnPL+4BXufjFixdhamqKFi1aGOX9lUouTsgREREREREREREZEDd1ICIiIiIiIiIiMiBOyBERERERERERERkQJ+SIiIiIiIiIiIgMiBNyREREREREREREBsQJOSIiIiIiIiIiIgPihBwREREREREREZEBcUKOiIiIiIiIiIjIgDghR0REREREREREZECckCMiIiIiIiIiIjIgTsgRUYl0+/ZtmJub4+jRo0aL4fr16zAzM8OZM2eMFgMRERFRbk6fPg0zMzNERkYaLYbw8HCYm5vj9u3bRouBiKg4UgghhLGDICIqqPfffx/JycnYt2+fUeMYMGAA7ty5g2PHjhk1DiIiIqI3+fv7w83NDatXrzZqHO+++y5sbW0RFhZm1DiIiIoTrpAjohInMjISW7ZswdixY40dCkaPHo3jx4/jyJEjxg6FiIiISO3w4cM4fvx4scmXNm/ebNSVekRExQ0n5IioxFm8eDHs7e0RFBRk7FDQsmVLuLu7Y/HixcYOhYiIiEht8eLFqFevHpo1a2bsUBAcHIxKlSphyZIlxg6FiKjY4IQcERncqFGjUL58ea3LPIcMGQILCwucPXs2z/Y7duxA69atYWpqqlG+adMmKBQKrfZJSUlQKBSYPXu2uuzkyZNQKBTYunUrFi1aBFdXV1hbW6N79+548uQJAOCXX35BnTp1YGFhgYCAANy9e1dnPO+88w527dqF7Oxsya8BERERUV6USiWsra1x7do1dZkQAp07d4adnR2ioqJybZudnY3du3cjICBA69iCBQugUCgQGxurUR4ZGQmFQoFVq1apy7Zu3QqFQoETJ05g1qxZqF69OmxtbRESEoKUlBQIITBz5kzUqFEDlpaW6Nq1Kx4+fKj1nOXLl0erVq2wffv2QrwSRESlEyfkiMjgfvrpJzRu3Bi9e/dWJ23Lli3DypUr8dNPP8HPzy/XtvHx8bhz506edQpizZo1ePz4Mc6cOYNTp04hIiICAwcOxMKFC/Ho0SOcOnUKFy5cQExMDD788EOdfTRv3hzPnz/HxYsXZYmJiIiIaOXKlXB2doZSqURycjIAYObMmdi1axdWrVoFd3f3XNtevnwZz58/ly1f+umnn2BjY4MrV67gwIED2L9/P8aNG4fp06fDysoKly9fxtGjR3H27FmMHj1aZx/NmzfHnTt3EBcXJ0tMREQlHSfkiMjgypcvj02bNiEtLQ39+vXD2bNnMXbsWPTv3x8jR47Ms+39+/cBAM7OzrLEkpGRgf/85z+wt7eHl5cXPv/8c/z11184ePAgpk6dCgcHB3h6euKLL77AP//8g5s3b2r1kRNLdHS0LDERERER2draYtOmTYiOjsawYcNw4MABTJkyBZ999hl69OiRZ1u58yVbW1uMHTsWlSpVQvPmzTFy5EisWbMGcXFxCA0NReXKleHn54ePP/4YmzdvRlJSklYfzJeIiDRxQo6IjKJWrVpYs2YNDh06hNatW8PNzU3SfUVyEjwbGxtZ4njzPnT169cHALRp00aj3NPTEwBw584drT5sbW01YiMiIiKSQ+PGjbFw4UKsX78eXbt2xdtvv61xC47cGCJfysjIQGBgoEa5p6cnVCoV7t27p9UH8yUiIk2ckCMiowkMDISrqyvS0tIwduxYWFlZ5dumYsWKAIDnz5/LEsOb3xznJK65letKInNiqVSpkiwxEREREeXo0aMHKleujLS0NHz++eda99DVhfkSEVHxxwk5IjKaTz75BDExMWjatCm++uornd+mvqlWrVoAgH///Vfy82RmZuZ6TKFQFKhcl/j4eI3YiIiIiOQyaNAgpKenw8vLC2PGjMHjx4/zbVOc86WaNWtKbkNEVJpxQo6IjGLNmjX49ddfMXfuXOzZswcVKlRAr169kJ6enme7qlWrws3NLc+dWN/cNez13cn04fTp07C1tUXjxo31+jxERERUtnz//ffYunUrli5diu3btyM5ORkhISFQqVR5tvP29oatrW2xy5fq1KmD6tWr6/V5iIhKCk7IEZHBXblyBSNHjkTPnj0RGhoKBwcHrF+/HhcvXsT48ePzbd+1a1ccPXoUWVlZOo9PnToVly9fRlpaGs6fP4/Q0FAA0NuuXocOHUJwcDBMTEz00j8RERGVPUePHsWkSZMwZswY9OvXD3Xq1MGqVauwb98+zJgxI8+2JiYmCA4OxsGDB3OtM3HiRNy4cQMvX77EsWPHMHnyZADaE3VyyMjIwD///IP33ntP9r6JiEoqTsgRkUG9ePECPXv2RI0aNbBixQp1ub+/P+bMmYNFixbhjz/+yLOPkSNH4vHjx9i9e7fO471798aAAQNQpUoV9OvXD6NHj8bQoUOxYsUKfPXVV7KO5+TJk4iKisp3d1giIiIiqRISEtCnTx/4+vrihx9+UJd369YNn3/+OaZNm4YDBw7k2cfIkSNx48YNnDlzRufxbt26oUePHrC3t8eIESMwe/ZsvPfee5g1axbmzZsn63h27dqFxMREjBgxQtZ+iYhKMoUQQhg7CCKigurZsyeeP3+Offv2qcs2bdqEXr164cyZM/Dz8zNIHAMGDMCdO3dw7NgxgzwfERERkVStWrVCnTp1sHr1anXZggULMHbsWMTExKBGjRoGiePdd9+Fra0twsLCDPJ8REQlAVfIEVGJNGfOHBw5cgTh4eFGi+H69etYt24dfvrpJ6PFQERERJSbefPm4c8//8T169eNFkN4eDjCw8Mxd+5co8VARFQc5b9nNhFRMeTm5pbvBhD65unpmeeOZERERETG1KxZM6PnKm3atDF6zkZEVBxxhRwREREREREREZEB8R5yREREREREREREBsQVckRERERERERERAbECTkiIiIiIiIiIiID4oQcERERERERERGRAXFCjoiIiIiIiIiIyIA4IUdERERERERERGRAnJAjIiIiIiIiIiIyIE7IERERERERERERGRAn5IiIiIiIiIiIiAyIE3JEREREREREREQGxAk5IiIiIiIiIiIiA+KEHBERERERERERkQH9P6VO+I6CZ2epAAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"controls0 = initial_parameters()\n",
"material0 = np.asarray(_material_density(jnp.asarray(controls0), PROJECTION_BETA))\n",
"extent_design = (-DESIGN_UM / 2, DESIGN_UM / 2, -DESIGN_UM / 2, DESIGN_UM / 2)\n",
"fig, axes = plt.subplots(1, 2, figsize=(11, 4.7))\n",
"axes[0].imshow(controls0.T, origin=\"lower\", extent=extent_design,\n",
" cmap=\"gray_r\", vmin=0, vmax=1)\n",
"axes[0].set(title=\"451×451 base-simulation controls\", xlabel=\"x (µm)\", ylabel=\"y (µm)\")\n",
"image = axes[1].imshow(material0.T, origin=\"lower\", extent=extent_design,\n",
" cmap=\"viridis\", vmin=0, vmax=1)\n",
"axes[1].set(title=\"Filter + β=30 projection + D4\", xlabel=\"x (µm)\", ylabel=\"y (µm)\")\n",
"fig.colorbar(image, ax=axes[1], label=\"silicon density\")\n",
"plt.tight_layout(); plt.show()"
]
},
{
"cell_type": "markdown",
"id": "54c5f96f",
"metadata": {},
"source": [
"## 3. Execute or load the audited optimization"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "ab4a77ea",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:30.133004Z",
"iopub.status.busy": "2026-08-18T04:04:30.132915Z",
"iopub.status.idle": "2026-08-18T04:04:30.139805Z",
"shell.execute_reply": "2026-08-18T04:04:30.139396Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" name | \n",
" compare | \n",
" got | \n",
" ref | \n",
" pass | \n",
" error | \n",
" atol | \n",
" rtol | \n",
" threshold | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" best_fom_parity | \n",
" fom_ge | \n",
" 0.969446 | \n",
" 0.931416 | \n",
" True | \n",
" -0.038030 | \n",
" 0.00 | \n",
" 0.0 | \n",
" NaN | \n",
"
\n",
" \n",
" | 1 | \n",
" optimizer_improvement | \n",
" fom_ge | \n",
" 0.292163 | \n",
" 0.000100 | \n",
" True | \n",
" -0.292063 | \n",
" 0.00 | \n",
" 0.0 | \n",
" NaN | \n",
"
\n",
" \n",
" | 2 | \n",
" passive_power_excess | \n",
" scalar | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" True | \n",
" 0.000000 | \n",
" 0.05 | \n",
" 0.0 | \n",
" 0.05 | \n",
"
\n",
" \n",
" | 3 | \n",
" final_binary_fraction | \n",
" fom_ge | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" True | \n",
" 0.000000 | \n",
" 0.00 | \n",
" 0.0 | \n",
" NaN | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" name compare got ref pass error atol \\\n",
"0 best_fom_parity fom_ge 0.969446 0.931416 True -0.038030 0.00 \n",
"1 optimizer_improvement fom_ge 0.292163 0.000100 True -0.292063 0.00 \n",
"2 passive_power_excess scalar 0.000000 0.000000 True 0.000000 0.05 \n",
"3 final_binary_fraction fom_ge 1.000000 1.000000 True 0.000000 0.00 \n",
"\n",
" rtol threshold \n",
"0 0.0 NaN \n",
"1 0.0 NaN \n",
"2 0.0 0.05 \n",
"3 0.0 NaN "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"RUN_FULL_OPTIMIZATION = False\n",
"if RUN_FULL_OPTIMIZATION:\n",
" result = optimize_smatrix_crossing(meta)\n",
"else:\n",
" result = json.loads(Path(\"progress.json\").read_text())[\"cases\"][\"invdes_smatrix_crossing\"]\n",
"assert result[\"status\"] == \"pass\", result\n",
"display(pd.DataFrame(result[\"metrics\"]))"
]
},
{
"cell_type": "markdown",
"id": "23e03b9f",
"metadata": {},
"source": [
"## 4. Fully binary final design"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "aaf61394",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:30.140712Z",
"iopub.status.busy": "2026-08-18T04:04:30.140626Z",
"iopub.status.idle": "2026-08-18T04:04:30.355030Z",
"shell.execute_reply": "2026-08-18T04:04:30.354569Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Binary fraction: 1.000000\n"
]
}
],
"source": [
"extras = result[\"extras\"]\n",
"artifact = np.load(extras[\"best_design_artifact\"], allow_pickle=True)\n",
"binary = np.asarray(artifact[\"binary_density\"])\n",
"projected = np.asarray(artifact[\"projected_density\"])\n",
"fig, axes = plt.subplots(1, 2, figsize=(11, 4.7))\n",
"axes[0].imshow(projected.T, origin=\"lower\", extent=extent_design,\n",
" cmap=\"viridis\", vmin=0, vmax=1)\n",
"axes[0].set(title=\"Best projected training state\", xlabel=\"x (µm)\", ylabel=\"y (µm)\")\n",
"image = axes[1].imshow(binary.T, origin=\"lower\", extent=extent_design,\n",
" cmap=\"gray_r\", vmin=0, vmax=1)\n",
"axes[1].set(title=\"Accepted fully binary material\", xlabel=\"x (µm)\", ylabel=\"y (µm)\")\n",
"fig.colorbar(image, ax=axes[1], label=\"silicon occupancy\")\n",
"plt.tight_layout(); plt.show()\n",
"print(f\"Binary fraction: {extras['final_binary_fraction']:.6f}\")"
]
},
{
"cell_type": "markdown",
"id": "1985b9ba",
"metadata": {},
"source": [
"## 5. Fresh field and port validation"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "23a0638a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:30.356006Z",
"iopub.status.busy": "2026-08-18T04:04:30.355908Z",
"iopub.status.idle": "2026-08-18T04:04:42.410485Z",
"shell.execute_reply": "2026-08-18T04:04:42.410075Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fresh forward solve: 12.0 s\n",
"Grid: (162, 162, 4); steps: 31,470\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" port | \n",
" target_power | \n",
" FDTDX_power | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" reflection x− | \n",
" 0 | \n",
" 0.018855 | \n",
"
\n",
" \n",
" | 1 | \n",
" crosstalk y− | \n",
" 0 | \n",
" 0.000019 | \n",
"
\n",
" \n",
" | 2 | \n",
" through x+ | \n",
" 1 | \n",
" 0.975958 | \n",
"
\n",
" \n",
" | 3 | \n",
" crosstalk y+ | \n",
" 0 | \n",
" 0.000020 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" port target_power FDTDX_power\n",
"0 reflection x− 0 0.018855\n",
"1 crosstalk y− 0 0.000019\n",
"2 through x+ 1 0.975958\n",
"3 crosstalk y+ 0 0.000020"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"started = perf_counter()\n",
"validation = simulate_smatrix_design(binary, record_fields=True)\n",
"print(f\"Fresh forward solve: {perf_counter() - started:.1f} s\")\n",
"print(f\"Grid: {validation['grid']}; steps: {validation['steps']:,}\")\n",
"pd.DataFrame({\n",
" \"port\": [\"reflection x−\", \"crosstalk y−\", \"through x+\", \"crosstalk y+\"],\n",
" \"target_power\": [0, 0, 1, 0],\n",
" \"FDTDX_power\": validation[\"port_powers\"],\n",
"})"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "2744a44e",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:42.411355Z",
"iopub.status.busy": "2026-08-18T04:04:42.411265Z",
"iopub.status.idle": "2026-08-18T04:04:42.604886Z",
"shell.execute_reply": "2026-08-18T04:04:42.604550Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"extent = validation[\"extent_um\"]\n",
"epsilon = validation[\"permittivity_xy\"]\n",
"intensity = validation[\"field_intensity_xy\"]\n",
"x = np.linspace(extent[0], extent[1], epsilon.shape[0])\n",
"y = np.linspace(extent[2], extent[3], epsilon.shape[1])\n",
"fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n",
"image0 = axes[0].imshow(epsilon.T, origin=\"lower\", extent=extent,\n",
" cmap=\"viridis\", aspect=\"equal\")\n",
"axes[0].set(title=\"Binary design on executed Yee grid\", xlabel=\"x (µm)\", ylabel=\"y (µm)\")\n",
"fig.colorbar(image0, ax=axes[0], label=\"relative permittivity\")\n",
"normalized = intensity / (intensity.max() + 1e-30)\n",
"image1 = axes[1].imshow(normalized.T, origin=\"lower\", extent=extent,\n",
" cmap=\"magma\", vmin=0, vmax=1, aspect=\"equal\")\n",
"axes[1].contour(x, y, epsilon.T, levels=[1.5], colors=\"cyan\", linewidths=.35)\n",
"axes[1].set(title=f\"Fresh |E|² at {WAVELENGTH_UM:.2f} µm\", xlabel=\"x (µm)\", ylabel=\"y (µm)\")\n",
"fig.colorbar(image1, ax=axes[1], label=\"normalized phasor |E|²\")\n",
"plt.tight_layout(); plt.show()"
]
},
{
"cell_type": "markdown",
"id": "04488d60",
"metadata": {},
"source": [
"## 6. Convergence and independent cross-solver parity"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "74050c7e",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:42.606022Z",
"iopub.status.busy": "2026-08-18T04:04:42.605931Z",
"iopub.status.idle": "2026-08-18T04:04:42.846430Z",
"shell.execute_reply": "2026-08-18T04:04:42.846002Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" value | \n",
"
\n",
" \n",
" \n",
" \n",
" | fresh FDTDX binary FOM | \n",
" 0.969446 | \n",
"
\n",
" \n",
" | Tidy3D FOM, same binary geometry | \n",
" 0.919198 | \n",
"
\n",
" \n",
" | published Tidy3D FOM | \n",
" 0.980438 | \n",
"
\n",
" \n",
" | parity in Tidy3D | \n",
" 0.937538 | \n",
"
\n",
" \n",
" | user 90% threshold | \n",
" 0.882394 | \n",
"
\n",
" \n",
" | repository 95% threshold | \n",
" 0.931416 | \n",
"
\n",
" \n",
" | updates used | \n",
" 75.000000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" value\n",
"fresh FDTDX binary FOM 0.969446\n",
"Tidy3D FOM, same binary geometry 0.919198\n",
"published Tidy3D FOM 0.980438\n",
"parity in Tidy3D 0.937538\n",
"user 90% threshold 0.882394\n",
"repository 95% threshold 0.931416\n",
"updates used 75.000000"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tidy_validation = np.load(\n",
" \"benchmarks/goldens/tidy3d_validation_invdes_smatrix_crossing.npz\",\n",
" allow_pickle=False,\n",
")\n",
"tidy_same_geometry = float(tidy_validation[\"tidy3d_fom\"].reshape(-1)[0])\n",
"published = float(extras[\"ref_fom\"])\n",
"user_threshold = 0.90 * published\n",
"strict_threshold = 0.95 * published\n",
"history = np.asarray(extras[\"fom_history\"])\n",
"fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n",
"axes[0].plot(history, color=\"#087d83\", label=\"FDTDX training FOM\")\n",
"axes[0].axhline(extras[\"ref_fom\"], color=\"#8221a8\", ls=\"--\", label=\"pinned Tidy3D\")\n",
"axes[0].axhline(extras[\"threshold\"], color=\"#d29b00\", ls=\":\", label=\"95% gate\")\n",
"axes[0].set(xlabel=\"Adam update\", ylabel=\"1 − ||P − target||₂\", title=\"Optimization convergence\")\n",
"axes[0].legend(); axes[0].grid(alpha=.25)\n",
"ports = np.asarray(validation[\"port_powers\"])\n",
"axes[1].bar([\"R\", \"y−\", \"x+\", \"y+\"], ports, color=[\"#d29b00\", \"#8221a8\", \"#087d83\", \"#8221a8\"])\n",
"axes[1].set(ylim=(0, 1.05), ylabel=\"normalized mode power\", title=\"Fresh binary S-matrix column\")\n",
"axes[1].grid(axis=\"y\", alpha=.25)\n",
"plt.tight_layout(); plt.show()\n",
"pd.Series({\n",
" \"fresh FDTDX binary FOM\": validation[\"physical_fom\"],\n",
" \"Tidy3D FOM, same binary geometry\": tidy_same_geometry,\n",
" \"published Tidy3D FOM\": published,\n",
" \"parity in Tidy3D\": tidy_same_geometry / published,\n",
" \"user 90% threshold\": user_threshold,\n",
" \"repository 95% threshold\": strict_threshold,\n",
" \"updates used\": extras[\"iterations_run\"],\n",
"}, name=\"value\").to_frame()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3271071b",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:42.847304Z",
"iopub.status.busy": "2026-08-18T04:04:42.847212Z",
"iopub.status.idle": "2026-08-18T04:04:42.849116Z",
"shell.execute_reply": "2026-08-18T04:04:42.848753Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"User 10% trust check: PASS\n",
"Repository 95% external gate: FAIL\n"
]
}
],
"source": [
"print(\"User 10% trust check:\", \"PASS\" if tidy_same_geometry >= user_threshold else \"FAIL\")\n",
"print(\"Repository 95% external gate:\", \"PASS\" if tidy_same_geometry >= strict_threshold else \"FAIL\")"
]
},
{
"cell_type": "markdown",
"id": "0b00f266",
"metadata": {},
"source": [
"## Reproduce\n",
"\n",
"The benchmark always starts from the analytical plus crossing and revalidates a thresholded 0/1 design."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "bb9e5dce",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-18T04:04:42.849917Z",
"iopub.status.busy": "2026-08-18T04:04:42.849840Z",
"iopub.status.idle": "2026-08-18T04:04:42.851482Z",
"shell.execute_reply": "2026-08-18T04:04:42.851162Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"uv run fdtdx-bench run --case invdes_smatrix_crossing\n"
]
}
],
"source": [
"print(\"uv run fdtdx-bench run --case invdes_smatrix_crossing\")"
]
}
],
"metadata": {
"fdtdx_execution": {
"executed": true,
"working_directory": "repository root"
},
"kernelspec": {
"display_name": "Python 3",
"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": "3.12.13"
},
"mystnb": {
"execution_mode": "off"
}
},
"nbformat": 4,
"nbformat_minor": 5
}