{ "cells": [ { "cell_type": "markdown", "id": "618c1315", "metadata": {}, "source": [ "# Nanobeam cavity: resonant wavelength and quality factor\n", "\n", "This notebook reconstructs the tapered-hole silicon nanobeam from the official\n", "Tidy3D `NanobeamCavity.ipynb` example and executes it locally with FDTDX. It follows\n", "the full workflow: define physical parameters, construct and inspect the geometry,\n", "run the time-domain simulation, plot the recorded electric field and ringdown, and\n", "extract the resonant wavelength and $Q$ with harmonic inversion.\n", "\n", "The compact benchmark retains the published cubic lattice/radius taper, a\n", "500 nm × 220 nm silicon beam, four constant mirror cells per side, eight tapered\n", "cells, a broadband $E_y$ dipole, mirror symmetry, and a 3 ps ringdown. The final\n", "comparison uses the same pole extractor for FDTDX and the frozen Tidy3D signal." ] }, { "cell_type": "markdown", "id": "975d6b06", "metadata": {}, "source": [ "## Imports and accelerator" ] }, { "cell_type": "code", "execution_count": 1, "id": "30f048d0", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:30:54.911060Z", "iopub.status.busy": "2026-08-16T19:30:54.910767Z", "iopub.status.idle": "2026-08-16T19:31:00.430276Z", "shell.execute_reply": "2026-08-16T19:31:00.429514Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FDTDX local\n", "JAX devices: [CudaDevice(id=0)]\n" ] } ], "source": [ "import os\n", "os.environ.setdefault(\"XLA_PYTHON_CLIENT_PREALLOCATE\", \"false\")\n", "\n", "from time import perf_counter\n", "import warnings\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Circle, Rectangle\n", "import numpy as np\n", "import pandas as pd\n", "import jax\n", "import fdtdx\n", "from IPython import get_ipython\n", "\n", "from benchmarks.cases.device_nanobeam_cavity.run import (\n", " NanobeamParameters,\n", " _dominant_resonance,\n", " build_nanobeam_simulation,\n", ")\n", "from benchmarks.device_geometry import nanobeam_holes_um\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\": (9, 4.5), \"figure.dpi\": 120})\n", "print(f\"FDTDX {fdtdx.__version__ if hasattr(fdtdx, '__version__') else 'local'}\")\n", "print(f\"JAX devices: {jax.devices()}\")" ] }, { "cell_type": "markdown", "id": "8c1a37a3", "metadata": {}, "source": [ "## 1. Physical and numerical parameters\n", "\n", "Lengths are entered in micrometres for readability. `NanobeamParameters` is an\n", "immutable input record; changing a field and rebuilding the scene is enough to run\n", "a resolution, runtime, or geometry study." ] }, { "cell_type": "code", "execution_count": 2, "id": "038a5e50", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:00.433090Z", "iopub.status.busy": "2026-08-16T19:31:00.432533Z", "iopub.status.idle": "2026-08-16T19:31:00.447054Z", "shell.execute_reply": "2026-08-16T19:31:00.446399Z" } }, "outputs": [ { "data": { "text/html": [ "
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value
grid_spacing_um0.025
interior_um(8.4, 3.7, 3.4)
run_time_ps3.0
analysis_start_ps0.2
wavelength_window_um(1.4, 1.6)
pml_layers12
beam_width_um0.5
beam_thickness_um0.22
silicon_index3.5
oxide_index1.44
\n", "
" ], "text/plain": [ " value\n", "grid_spacing_um 0.025\n", "interior_um (8.4, 3.7, 3.4)\n", "run_time_ps 3.0\n", "analysis_start_ps 0.2\n", "wavelength_window_um (1.4, 1.6)\n", "pml_layers 12\n", "beam_width_um 0.5\n", "beam_thickness_um 0.22\n", "silicon_index 3.5\n", "oxide_index 1.44" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameters = NanobeamParameters(\n", " grid_spacing_um=0.025,\n", " run_time_ps=3.0,\n", " wavelength_window_um=(1.4, 1.6),\n", " beam_width_um=0.500,\n", " beam_thickness_um=0.220,\n", " silicon_index=3.5,\n", " oxide_index=1.44,\n", " pml_layers=12,\n", ")\n", "pd.Series(parameters._asdict(), name=\"value\").to_frame()" ] }, { "cell_type": "markdown", "id": "fc6c9a3a", "metadata": {}, "source": [ "## 2. Geometry construction\n", "\n", "The hole centers and radii below are the arrays used to instantiate the FDTDX\n", "cylinders—not a separate illustration. The lattice constant and hole radius taper\n", "cubically toward the central defect." ] }, { "cell_type": "code", "execution_count": 3, "id": "b73d9fac", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:00.449393Z", "iopub.status.busy": "2026-08-16T19:31:00.449121Z", "iopub.status.idle": "2026-08-16T19:31:00.643319Z", "shell.execute_reply": "2026-08-16T19:31:00.642427Z" } }, "outputs": [ { "data": { "image/png": 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//v1hZ2d3z3Lqe+y10XTR++CDD7TjgQGV7/vMmTN1UreujvlB1DdWqVQKGxsbxMfHVxv7rD4GDhyIwMBA/PTTT/juu+/g7e2Nxx9//IHLIyIi0hu9D7tPREREotHMAunj4yP06tWrxr/HH3+8yj4vvPCCAEB47bXXqiwfN26cAED4/PPPtcvUarXQrl07AYBgYWEhdOrUSQgLCxNMTEwEV1dXwdfXt9rMetHR0dqZIGUymRAYGCh06NBBsLKyEgAIW7du1W67Z88e7Xbt27evMd6a3Gu/B4lZM0Njhw4dBACCt7e30K5dO8Hc3FwAINja2goJCQlV9omPjxdcXV21cQQEBAhdu3YVmjVrJshkMgGA8MMPP1Sr49KlSzUe00cffaSdlc/GxkZo27at0LZtW8HOzk4AIFhaWlbZfsyYMQIAQSKRCP7+/kLr1q0FExMTwcnJSfDx8XmgWSB79epV4/oRI0YIAISkpKQqyydPnqyNWfOamZmZaeO9e1bRmmaBfJBjr82wYcO0r0lAQIDQpk2bKq+JVCptcN31Oeb7va4ymUwICwurcZ2np6fg6uraoFgHDhyonZmyR48eQq9evYS1a9fWKbY7LVmyRFvvRx99dN/tiYiIGgMmwIiIiJoQTQLsXn+Ojo7a7bdv3y4AELp06SJUVFRUKSs/P1/w8/MTjI2NhTNnzmiXR0dHC127dq1SZrt27YQrV65oE0Z3i4mJEYYMGSJIpVLtPjKZTHjiiSeElJQU7XZqtVqYOXNmle3ujLc299uvvjFrklMnTpwQJk+eXKXcsLAw4fz58zXGkZSUJEyaNEkwMTGpUpednZ3w7LPPVkma3S8BJgiCsHHjRiEkJKTae9i+fXth5cqVVbYtLS0VZsyYoU22ARCCgoKEs2fP1vq+1OZBE2AKhUL43//+J1haWlaJt3PnzjW+ZrUlwOp77LUpLi4WpkyZUuX9Cw4OFs6fPy94enoKdnZ2Da67Pses6wRYfWO9cuWK4OfnV2W7Dz74oE6x3SknJ0cwMzMTTExMhIyMjPtuT0RE1BhIBOGOfg1ERET0UEtMTER8fPw9tzE2NtaOV3Tp0iUUFBQgLCwMzs7OtZbn4uKC0NDQKuuSkpKQkpICV1dX+Pn5AQAuXLiAoqKiWmegzMvLQ0xMDExNTREUFAQLC4sat8vJyUFMTAzkcjmMjIyqja9Um/vtV9eYp0+fjl9++QWXLl1C27ZtkZmZifj4eNjb299zBkONsrIyREVFoby8HF5eXvDw8NCOwaRx8+ZNpKeno2PHjrCysrpnecnJyUhOToaFhQV8fX1hY2NT67bZ2dmIjY2FnZ0dWrRoAYlEct/35W5KpRInTpyAnZ0d2rZtW219ZGQksrOz0a1btxoHTZfL5bhx4wbKysrQrFkz7Vhpdzt69CgsLS3RsWPHWmOpz7HX5s7XJDg4GHFxcQgKCkKnTp1w5swZndRdl2O+3+t69OhRWFhYoFOnTtXWhYeHQxAEdO/evUGxqtVqREdHIysrCyqVCn5+fvDx8blvbHdKTU2Fj48PJkyYgHXr1t1zWyIiosaCCTAiIiKiu9ydAKOH019//QULCwv07NlTuyw+Ph5PPvkkwsPD8f777+Ptt982YIQPH0EQMHHiRPzxxx84fPhwnZOqREREhsZZIImIiIioSYqIiMCCBQvg4OCAgIAA5OXlISEhASqVCl5eXnj++ecNHeJDIzw8HG+88QYSExORkJCADh06MPlFREQPFSbAiIiIiKhJGjx4MHbv3o0jR44gNzcXACCRSDBw4ECsWrVKlNkZm6qcnBwcPXoUANCsWTP8+OOPBo6IiIioftgFkoiIiOgu9Rmfixq/wsJCxMfHo6KiAgEBAXB0dDR0SA+dnJwcREREwNbWFqGhoTWO/UZERNSYMQFGRERERERERERNmvT+mxARERERERERET28mAAjIiIiIiIiIqImjQkwIiIiIiIiIiJq0jgLpIjy8/Nx9OhReHt7c6BQIiIiIiIiIiIdkMvlSEpKQq9eveo8qzMTYCI6evQoRo4caegwiIiIiIiIiIianG3btmHEiBF12rbJJcBSUlLw7rvv4siRI1AqlejYsSMWLVqEsLCw++67ePFiLF68uMZ1169fh4uLS71i8fb2BlD5hgQGBtZrXyIiIiIiIiIiqi42NhYjR47U5l3qokklwDIzM9GtWzf4+vpi06ZNsLS0xDvvvIPu3bsjPDwcoaGh99y/tLQUOTk5uHXrFiwtLausc3R0rHc8mm6PgYGBdUrAERERERERERFR3dRnuKkmlQD78MMPkZGRgbNnz8LNzQ0A8MsvvyAgIADz58/Hnj176lSOo6MjrKysxAyViIiIiIiIiIj0pEnNAvnHH3+gZ8+e2uQXAJiYmGDUqFH4+++/kZuba8DoiIiIiIiIiIjIEJpMAiw9PR0ZGRk1dnMMCwuDSqVCREREncrq3Lkz3N3d0apVKzz//PNITk7WdbhERERERERERKQnTaYLZFZWFgDAwcGh2jp7e3sAQHZ29j3LsLKywnvvvYfBgwfD2dkZZ8+exf/+9z/8/vvvOHnyJJo3b17rvpmZmdoYNGJjY+t7GEREREREREREpGNNJgEmCAIAQCKRVFsnlVY2dFOr1fcs49VXX62yv5+fH9q3b4/WrVvjtddew7Zt22rdd+XKlVi0aNEDRE5ERERERERERGJqMgkwTSuvwsLCausKCgqqbFObmpJnQUFBaN++PQ4fPnzPfZ977jmMGzeuyjLNtJxEREREREREjZFarUZGRgbkcvl9G40QiU0qlcLU1BSurq7axky60mQSYF5eXrCxsUF0dHS1dZplYWFhD1S2qakpFArFPbdxcXGBi4vLA5VPREREREREpG9qtRqJiYkoKyuDTCaDTCarsWEIkT4IgoCKigqUlZVBLpejWbNmOk2CNZkEmEQiwfDhw7Fjxw4UFxfDysoKQOULuGvXLu3A9vWVlZWFCxcuoFOnTroOmYiIiIiIiMhgMjIyUFZWBgcHB7i4uDD5RQYnCAIyMzORm5uLjIyMB8rj1KbJzAIJAO+88w4EQcCcOXNQXFwMhUKBt99+G1FRUfj000+rbPvJJ5/AyckJZ86cAQCoVCqMGzcO4eHhKC8vhyAIiIiIwKhRo1BeXo6PPvrIEIdEREREREREJAq5XA6ZTMbkFzUaEokELi4ukMlkkMvlOi27SSXAmjdvjkOHDuHWrVtwcHCAtbU1tm7diu3bt6NPnz5Vti0pKUFOTo62a6NMJsOTTz6Jt956Cy4uLrCwsEDXrl1hY2OD48eP45FHHjHEIRERERERERGJQq1Ws9sjNToSiQQymUznY9I1mS6QGp06dcKpU6e0A/iZm5vXuN3ChQvx0ksvwc7OTrtsxIgRGDFiBARBQFFREaysrHQ+6BoRERERERFRY8HkFzVGYpyXTS4BpmFqanrP9RYWFrCwsKhxnUQigY2NjRhhERERERERERGRnrF5ExERERERERH955SVlaF3797YsGFDvZc1JllZWejduze2bt1q6FAatSbbAoyIiIiIiIiIHszY9RsRn5tn6DDg72CPTU9MEKVslUqFo0ePYtCgQfVe1pjI5XIcPXoUY8eONXQojRoTYERERERERERURXxuHqKyc2Bhce/hhcRUWqrbWQDvZm5ujsOHD8Pf318n21HjxgQYEREREREREVVjYWGKPt1DDVb/4VPXRS1fJpOhd+/eOtuOGjcmwIiIiIiIiIioybly5Qp++uknxMXFwcrKCp06dcLTTz8NKysrAJVjew0ePBhz5szB5MmTay3nXtudP38ev/76K2JiYmBnZ4cBAwZg2rRpkEr/HXJ9x44d2Lx5M9LS0uDs7IzHH38c48eP1850mJWVhXHjxuHFF19E27Zt8cUXXyA2NhYBAQFYsGABfH1963zMUVFRWLp0KW7duoUWLVrg5ZdfrnH/s2fPYu3atYiNjYW5uTn69euH2bNnV5lQcPDgwSgrKwMAGBsbw9PTE6NGjcKIESO029wZe1hYGL788kskJSWhW7dumD9/PszMzBAVFYVly5YhISEBrVu3xsKFC2FnZ1fnY9IVDoJPRERERERERE3K8ePH0bFjR5SUlGDOnDkYP348MjMzaxzbKzEx8Z5l1bbd4sWL0blzZ+Tk5GDatGkYMWIETpw4gZdeekm7zdy5czFq1Ci4urpi3rx5aN68OaZOnYpJkyZBEAQA/47hderUKTzzzDPo3LkzZsyYgcOHD6NHjx4oKSmp0zHHxMTgmWeeQY8ePTB16lSEh4ejffv2uH69aku6L774At26dUNFRQWeeeYZDB8+HF9++SX69u0LufzfbqcLFy7Ee++9h/feew8vvvgiPDw8MGHCBHz44YfabTSxHzt2DC+88AJ69eqFcePG4auvvsKMGTMQGRmJuXPn4pFHHsHkyZOxdu1ajBs3rk7Ho2tsAUZERERERERETcq6devg6emJ1atXa5eNHj0ahYWFOin/7NmzeP311/H666/j008/1S6fMGECioqKAAAHDx7EypUr8emnn+L1118HADz++OPw9vbGU089hREjRmDSpEnafTdu3IgbN27A0tISABAaGorWrVtj7dq1ePbZZ+8b059//omoqChYW1sDAEaOHInAwEDMmzcPhw4dAgBcvHgRCxYswFtvvYX3339fu2+/fv3QokULLF++HK+99hoAoGfPnlXKHzZsGKytrfHuu+9iwYIFVVqLbdmyBTdu3ICFhQWAyqThrFmzkJqaij179miPSRAETJ8+HZcuXUK7du3q8lLrDFuAEREREREREVGTYm9vj9TUVPz5559QKpXa5TY2Njopf/369QCA+fPnV1unSUBt2bIFAPDMM89UWT916lRYWlpq12uMHj1amygCgFatWsHW1hbXrl2rU0yjRo3S1g0AFhYWePLJJ3HkyBHk5VXO6Llu3ToIgoB58+ZV2dfHxwePPPIIduzYoV2WlZWFTz/9FGPHjkW/fv3Qu3dvrF+/HgqFAjExMdVi1yS/AKBbt24AgNatW1c5Js3yyMjIOh2TLrEFGBERERERERE1KQsWLMDFixcxfvx42NraokePHhg4cCBmzpxZJUn0oG7dugV7e3s4OTnVuk1SUhIcHBxga2tbZbmRkRGaNWtWrUulj49PtTIcHR2RkZFRp5hqGuvL19cXgiAgKSkJ9vb2iIuLg0wm045lJgiCtivmtWvXYG5uro29U6dOcHNzw7PPPgtfX1+Ympri6NGjuHbtGoqLi6vU06xZsyr/29vb33N5ZmZmnY5Jl5gAIyIiIiIiIqImxdHREX///TcSExNx5MgRHD58GG+++SaWLVuGS5cuNXgQdnNzcxQXF0OlUkEmk91zG0EQtAPeaxQWFsLFxaXKMmNj42plSCQSbYLqfjRdL2tapmmdZWZmBhMTE7z11ls1lqHp1rhq1SpkZmbi6tWrVeK8cuVKjfvdHbvmeGtbXtdj0iV2gSQiIiIiIiKiJqlZs2aYOnUqfv75Z6xZswa3bt3C4cOHG1xuz549oVAocOzYsVq36dSpEyoqKnDu3Lkqy+Pi4pCamorOnTs3OI47hYeHV1t28uRJODo6wt/fXxt3WVkZbGxs0Lt372p/mi6K2dnZsLGxqZak++uvv3Qasz4xAUZERERERERETcrXX3+Ny5cvV1kWFxcHAPD29m5w+dOnT0dQUBCee+45REVFaZffvn0b69atAwDMmDEDzs7OePHFF5GbmwsAKC4uxrPPPgsrKys899xzDY7jTunp6dqxyQBg8+bN2LVrF1555RVIpZXpn5kzZyI4OBgzZsxAdHR0lf0PHDiAjRs3AgC6dOmCgoICbN++Xbv++++/R2pqqk5j1id2gSQiIiIiIiKiakpL5Th86rpB64eF1QPt6+vri9mzZyMpKQm+vr7IyspCSUkJVqxYgY4dOzY4NktLSxw+fBizZ89Gy5YtERQUBEEQoFQqsWLFCgCV3TD379+PadOmwdvbG8HBwYiNjYW7uzv27t1b45hdDTF79mwcPXoUixYtgkQiQVxcHObNm6edgRKo7Ap5+PBhPP/882jVqhV8fX1hbW2NuLg4dOnSBR9++CGAygTfsWPHMHr0aLRq1Qr5+fno2bMnFi5ciAkTJug0bn2RCIboePkfce3aNbRs2RKRkZEICwszdDhEREREREREWvHx8QCg7R53p7HrNyI+N0/fIVXj72CPTU88eMIlMzMTCQkJsLe3h5+fX5UxqVQqFY4fPw5/f3/tYO11XXanrKwsxMXFwcnJCf7+/trWVneKj49HWloanJ2d0bx58yrr5HI5wsPDERQUBE9Pzyrrzpw5Aysrq3vmFO7ePzk5GUlJSQgMDISzs3Ot+xUWFiIqKgpGRkYIDAyscXKA9PR03L59G97e3vDw8EB2djYiIyPRvn172NjY1Bp7RUUFTp06hcDAQHh5eWmXKxQKnDx5EgEBAfdsiXevcxN4sHwLE2AiYgKMiIiIiIiIGqv7JRmIDEWMBBjHACMiIiIiIiIioiaNCTAiIiIiIiIiImrSmAAjIiIiIiIiIqImjQkwIiIiIiIiIiJq0pgAIyIiIiIiIiKiJo0JMCIiIiIiIqL/KEEQDB0CUTVinJdMgBERERERERH9B0mlUqhUKibBqFERBAEqlQpSqW5TVkyAEREREREREf0HmZqaQqVSITMzk0kwahQEQUBmZiZUKhVMTU11WraRTkujBhu7fiPic/MMHQYRERERERE1cSZSKSb6NUPb4mIkZWRCZiSDxNBB0X+SVCKFpYkxVCoVVCoVzM3N4erqqtM6mABrZOJz8xCVnQMLC91mOomIiIiIiIjutuTadYxs5gUPCwuYy2SGDof+g5RKFWxMTTEgKAAmJiYwNTWFq6urzrtAMgHWCFlYmKJP91BDh0FERERERET/AZn//AHsBkn6d/jUTXhbWOHpxwaIWg/HACMiIiIiIiIioiaNCTAiIiIiIiIiImrSmAAjIiIiIiIiIqImTacJsIqKCl0WR0RERERERERE1GAPnABTq9XYvXs3nn76aYSEhMDCwgKmpqawtLREaGgonnnmGezZswdqtVqX8RIREREREREREdVLvWeBVKlU+P777/HZZ5/h9u3bsLa2RocOHdC2bVvY2NigsLAQaWlpWL9+Pb777jv4+Pjg9ddfx5w5cyDjlKpERERERERERKRn9U6AtWnTBikpKXjyySfx5JNPolOnTpBKqzckU6vVOHv2LNatW4eFCxdixYoViIyM1EnQREREREREREREdVXvLpCjR4/GrVu38PXXX6NLly41Jr8AQCqVomvXrvjmm2+QkJCAUaNGNThYIiIiIiIiIiKi+qp3C7D333+/3pXY2dnhgw8+qPd+REREREREREREDaXTWSCJiIiIiIiIiIgaGybAiIiIiIiIiIioSWtwAkylUmHVqlXo1KkTnJycYGRkVO2PiIiIiIiIiIjIUBqcnZo/fz6WL1+ORx55BGPGjIG1tbUu4iIiIiIiIiIiItKJBifA1qxZg19//RVPPPGELuIhIiIiIiIiIiLSKZ30T3z88cd1UQwR6VFZTgGKbqejODkLxSnZUJbJIajVkBoZwczBGlZeLrDycoaNrxtkJsaGDrdeBEFASVoOihIzUJychdL0XKjkFRAAyIyNYO5iDysvZ1h7ucC6mQsk0odrOES1SqU9tuLkLJRl5kGlVEEiAWSmJrB0c6w8vmausHBzgEQiMXTI9aKSV6DwVjqKkjNRnJwFeV4R1EoVJFIpjC3NYOnhVHlu+rjBzMHG0OE+EEEtoDy3ABWFpVCrVJAayWBqYwVTB+uH7v0iItIltVKF0sw8KMvkgFqA1NgI5s62MLY0N3RoD0RQCyhOzkRRchaKkzNRmpEHVYUCEgBSE2NYuNrDyssF1t4usPJ0hkT6cP0GqJUqFN5KR/E/v9llOQVQK5SQSCWQmZnCysMRVp4usPZxhYWLvaHDrTdlmRyFCWmV719KJioKSiqvSWRSGFuaw8rT+Z/rZXeY2loaOtx6kxcU//P+ZaE4JQuKkjIIKnXldYmtFay8/j0+I3NTQ4dL1GANToANHToUJ0+exKBBg3QRDxGJSK1SIScyAWmnIlEQl6JdbmlhDid7OxiZylBWXo60iHhkX40DABibm8K5Ywu4d2vZ6C9clOUVyLwQhbTwSJSm52qX29law9GmMrFQVFKKzPM3kXn+JgDAzN4arl1D4dY5FCbWFoYKvU7kBSVIP3MNGWeuQ15Qol3u6uQASwtzqNVq5OcUIS0hTbvO0sMJ7t1bwqVdc8hMG3cisyQ9B2mnriHrQhSU8goAgFQqgbuzE8zMLKBUKpGZnI38mGTtPnbNveHevSUcQ3whkTXuRGZFUSkyzt1EXlQiSlIrk853M7Ywg6WXMxyCfeDSsQWMLcwMEOmDEwQBEPDQ3cARNRWCWgAkeOgS6SXpuUg/cx2FCWkoTc+BWqmqto2ZvTUsvVzg3DYQji39IJXJDBBp3SlKy5Fx9gbSw6+hLKdAu9zR3ha21lYAgILCYmTcTkfG2RsAAHMnO7h3D4NLx+BG//1fnlOItNPXkHH2BhQlZdrl7i6OsDC3gEqlQk5mPlLjU7XrrH3c4NG9JZxaB0Bq3LjHiS5KzkTaqUhkX4qBSqEEAMhkMrg7O8LU1AIKpRKZtzOQH50EoPIzZx/qA4/urWAX5N2ofwcFtYC86ESknYpE3o3blb/dAMxMTeDi5ABjUyOUyyuQfuM2cq4lAKh8gOzULgge3VvBysvZkOETNYhE0JzxDygvLw+zZs3C6NGjMXjwYDg4OOgqtofetWvX0LJlS0RGRiIsLKxO+7T/ehWSSovRp3uoyNHRf01+bDJi/jiM8txCGBnJMKxPDwzs2QWtQ4Lg5+UO6R2toEpKyxAZHY8LETexcfd+RCdU/ri7dgyG/4hHGt0TIEEQkHHuJhJ2noSyTA5rKwuMH9IPj3RsgzYhQXBzdqxyM5CTX4CrN2Nx+lIkft+5H5k5eZAayeDdrwO8+rZvdBfVaqUKiQfOI/nQRQhqNdxdnTBp2AB0aRuGVi0CYW/779iLgiAgJSMLV2/G4tjZS/hzzyGUlpXD2NIM/iN6wrldUKO7MVKUlCNu2zFkXYoBAIQE+mLCsP5oH9YCYUH+sDD/9yZArVYjLjEFV2/G4q9jp7HnSDhUKhUsnO0QNKEvbHzdDXUYtSrNykfi/nPIuRoHtVIFc3MztGoegNbBgfB2d4GpiTHkFQrcTknD1ZuxiIyOR7m8Qnux2WxAJ5jZN77xNQWVGrk3byM/JrmypWVajjZxKTM1hqW7I6y8XGAX6AmHhyBBSfSwUZSUI+tyzD8tgjNRll0AQaUGJICJtaW2ZYpTK39YejgZOtwa5UUnIengBe1DOUd7W7QJDkKr4AA4O9hBJpWipKwcUfGJuHozBjG3kqBWCzC1sYRr1zB49W7b6FqpC2oBqSev4vbe01BVKGFvZ4OJQ/ujR4fWaB0cCGfHqg8TM3NycfVGLE5djMBvu/Yjv6AIMhMj+AzuCo8erRtdIkUlV+DW3nCknowABMDXyx0Thw9Ap1YhaNkiADZW/7aCEgQBianpuHozFgdPnse2/Uchr1DA1NYSAWN6wzHU13AHUgt5QQliNx1B7o1bAID2LVtgzKA+aBfaHCGBfjAzNdFuq1SqEHs7CVduxGD34VM4cPIcBEGAlYcTgib2g1Uj/NwVp2QheuMhlKRmQyKRYMAjnTC0Tw+0Dg5EoI83jIz+vQYul1fgRmwCLl2Pxqa9h3HpWhQAwCHMF0FjesPE5uFr8UaN1+FT1+FtYYWLzz9T530eJN/S4AQYAGzYsAFz5sxBSUkJTExMqt1clZeXN7SKhxITYNQYqOQKJOwOR9qpCJiZmeL5KWMxZdTgahdgtREEAeGXIrH8599x7OxlmNpaIXBcbzgE+4gced3IC0oQ8+ch5N1MhIujPRbMeRKjH+tdJWlyLwqlEn8dPY3FP6xDTEISrDyd0XxiP1i6O4oced0Up2Qh+rcDKEnPRWiQH+bPfgIDenSucoFyz/1LSvHnnkNYsno9cvML4djSD4Fjejea1m45kfGI3XwUFUWl6Ne9I16cMQEdW4XUOUmXnpWDXzbvwcp1m1GhVMCzZxv4Du7aKJ4sC2o1Uk9cxa29Z6BWKNGtfStMHzMUg3p1hYlx7Tds5fIK7Dx4Aj9v2oVL16JgZGoC3+Hd4dYltFEkL1XyCqQcv4r009cgzy8GAFhbWaBV8wA42FV2Sc0rKEJEVBwKiytbKpraWsKtaxg8eraBkZlJrWXrk1qpQkFcyj9dbbMrWzAIAozMTbXdbO0CvRpNvBqCIECeV1TZglAigYmVeaO9CRHUapTnFkIlV0AilcLE1rJRtmopyylAQVxqZfetrDxtl2szRxtYebnAxtetUd3IlqTnIvnIJWRfjtG2lPJyd0Gwvw/MzUyhVKmQlJqJG3G3oFJVrrfxc4fHI63h1DqgUXyPKMvkiN95Ehlnb8DISIbh/Xpi+pih6NT63t//2bn52LDjb/yyZQ9SM7Jg7myHoPF9YOvnocfoa1eWXYDojQdRmJCGZh5uWDDnCQzv1xOmdUzSlcsrsOPgcXz+/Tokp2XCxt8DzSf0hbmjrciR101BfCpiNh5EWU4hOrYKwauzJuPRzm2rPES9l7yCIvy+8298+dPvKC4phUuHFggY2bPRPFjNuBCFhG3HoSiTY0T/R/HclDFoHRxY5/0TU9Px4x878ePGHVAD8O7fAc36dWwUD4DUKhWSDlxA0sELkEokmDXhcTw1bji8PVzrXMaVGzFY8esm7Dx4AsYWpvAf2RMu7VuIGDX9lzw0CbBPPvkECxcuRPfu3REcHFzjLJDLli1rSBUPLSbAyNAUpeW49uMuFN3OQNd2LbH0rZfg6/VgLWQEQcCGHX/j3WU/oKSsDIGjesG9e0sdR1w/pZl5iPx+B+T5xRg3pB/ef3k27GwerKWMvEKBL1ZvwIpf/4TU2AghM4bCLtBTxxHXT+7N27j5yz5ALeCVmRPx/PTxMDZ6sMROdl4B3lqyCtsPHIO5gw3Cnn7c4BfUyUcvI2HnSdhYW+GjV5/GmEF9HvjGLDohES99sAyXrkXBNsAToTOGGDRxoSyT4/qavSiIS4GPpxuWvv0yurWr/+flUPh5vPrxV0jPzIFDqC+Cnxxo0NYO+THJiPmzsiWpq5MDpowajJEDe8Hf26PaeycIAhKSUrFt/zH8unUv0rNyYGZvjcBxfWDf3NtARwBUFJYg9WQEMs5cR0VxZbcdqVQCWxtrSAAUFpdA+U9SwcjUGE7tm8OzZxuDdgFXVSiQdSkGWZdjUJKSBUVp1e6zJtYWsGrmAtcOwXAI8zVoK1ZFSRnSz95A7rUElKRmQ1WhrLLezMEG1r5ucOscCtuA6ueNvgiCgNzrt5B6MkLbhQkAzM3NYGFmigqFAkXFpdrlVl4uld3JOzQ32OsrqNRIOnwRSfvPQa1So2OrEEwbMwR9u3eEg2318RDL5RW4fD0aG3b8je37j6FCoYBDiC8Cx/Y26FhFJanZuPbTbsjzi/Fo53ZYsvAFeLu71KsMlUqFH37fjk9XrYVcoYDPwM7w7t/RoMm9oqRMXFu9E4qScjw1fjgWPje9zg/j7lZSWoYPv/kZazbvhomlOUJnD4O1V/1eI13LvBSN6N8OwtTYCG88Ow1PjR8O2QN+FlIzsjH/k69wOPwCLN0d0XL2cIMm8gVBwO29p5F06CKcHe3x+f/m4bFHuz5weVduxODF95ciKv42HMP8EPzkQIM+mFMrlLjx61/IvX4LIYG+WP7OK2jVIuCBy9t7NByvffoNsnPz4d2/I3we69woEuv0cHtoEmCurq744osv8OSTTzakmCaJCTAyJGV5BSJWbUdxcibmTR2LN56dVucndPeSmJqOCc+/hVvJaQgc2xvuXet2butaWXY+IlZuhbJEjmVvv4Sxg/vqpNzwS5GY+uoilFVUIGzOcIM9Vc6LTsL1n3bD2sIcG5YuQvuWwTopd922fXj9s29gYmOJVnNHG6xrXcqxy4jfcRJBft74ffmH8HBteOsKlUqFd5f9gB//2AkbP3e0nD3cIMkiRWk5Ir/bgeKULEwZNRjvvTjrgW+CgMqEzP8Wr8TWv45UHtes4Xofz00QBNzedwZJBy/AzMwUb82djqmjh9Q5IatUqvDr1r34YMVPKCuTw7tve/gM7qrXC2ZBEJB5IQoJ209AUSaHt4crnhjxGLq3b4Ww5v6wMKt8jyoUCkTFJ+L81RvYsOMvREbHQyqTwntAJ3j1aafX5IegUiP52GWkHLoIRZkcpibGaB0ciFYtAuDkUJmQS0nPxNWbsbgeW9nax9TWEj5DusGlfXO9vr4qeQVu7T2N9NPXoVaqYG1lgbYhQQgL8oetjRVUKjUSklJx9WYsYm5VJpws3BwQMPJRvT9suLOLk0wqxeDe3TCi/6NoExIEL3cX7euWlZOHqzdjse/YaWzadxjl5XJYeTmj+QT9txJWlJTh2k+7UXQ7A4G+3vjyzRfQqXXdrxWzc/Px7vIfsGXfERibmyJ42mCDPOQpTs5C5HfbAaUKH736DJ4cOahB52ns7WQ88+ZnuBYTD89ebeE3rLtBbsSLU7IQsWo7ZGoBqz9+A/0f6ayTcv8+fgZzFn4CtUyKVs+ONFhX1qzLMbi5/m+4OTvi9+UfooV/swaXKQgCVvy6CR+tWAMLV3u0fm6UwSY6uLUnHEmHLqJ9yxZY+8W7cLRr+ANCeYUCr3y0DFv2HYFDqC9Cpg0ySPJcrVTh+pq9yLt5G2MH98UXb75wz1bodZWTX4AnX34Pl69Hw7t/R/gO6qKDaOm/7KFJgNna2iI5ObnGll//dUyAkaEIgoDra/Yg99otvDRjIl5/ZopOy8/IzsWIOQtwOzUdrZ4eAbtAL52Wfz+qCgUuLf0D8pwCfPfRGxjWt4dOy798PRpjnnsDFRDQ/tWJMLWz0mn591OWXYBLX26EpYkJtq76DKFBfjotf9PeQ3j+vS9g6e6Iti+Og7SO3Sl1Jff6LVz7aTeC/LyxddVnOrnQ1BAEAe8tX43vf9sG53ZBCH5ioM7Krgu1SoWIb7ej8FYaFsx+Ai8/NUknN2OCIODdZT/gh9+3wz64GcJmDtPbuDCCICB+x0mkHr+CNqFBWPXB6w/ckvR2ShqefWsxLl2PhscjreA/oqdeblbVShWifz+IrMsxcHa0x0evPo0hvbvft/WCIAg4c/kaXl+8AtHxibDxcUPozKEwthS/G19ZdgGi1v+NoqRM+Hi6Yc6kkRg3uB+srWruvpyZk4v12//Gj3/sQE5eARxCfdF8Ql+93FAWJKQh5rcDKMstRNvQIMyZOBJD+vSotdtXXGIKftm8G79u3YtyeQXcu7eC/+M99PJdVBCXihtr9kBRJseYQX3w5tzpcHe5f1KhsLgEX//yJ1au2wRIJAgc2weunXTzYOJ+FCXliPh2K0rSczFn0ki88ey0KuMQ1cfeo+F4YdGXKJXLETpzqF5bY5bnFOLKV5uACiV+WfIOendtr5Nyi4pL8cTL7+Lc1evwHdoN3n10U25dKUrKcemL3yCUKbB+2SI80rGNTss/dvYSnnzlPUgtTNHu1Yl670ZcnJyFK19vgrO9HbZ/vxg+nroda/P737bh3WU/wMbfA62fGan3Mc8yzt1A9MZDaN+yBf74+iNYWujuO1OtVuOlD5bhzz0H4dGzDQJGPKKzsusqdusxpJ2MwISh/fHlWy/q5GG4RnFJKcbNexOXr0ejxaT+cOnA7pD04PSVAGvwJ2D48OE4ffp0Q4shIh3KvBiN3Gu3MHLAo3jtad23znR1csBvyz+AmakpYv44DNU/A1/ry629p1GWlY+35s7QefILANqGNseqD1+HskyOmD8PQwdDJdaZoBYQ/cchqCoUWP3pQp0nvwBg7OC+mD/7CZSk5SBx/zmdl38vitJyxG46AmsrC2xY9r5Ok19A5SxM7704CwN7dkbWpRhkR8TrtPz7STp4AYW30jB74gi8MmuyzpI7EokEi16ajXFD+iHvZiLSTkXopNy6SD1+BanHr6Bru5bYvOKTB05+AYCPpzs2rfwE3dq3QuqJCKQcuaTDSGumVqlw49d9yLocg0G9uuHob99ieL+edeq6I5FI0LVdS/z9y1d4evIoFN5OR8SqbVCUiju2aUl6Dq6u2ILi5Cw8+8RoHN6wEjPHDa81+QUALo4OeHnmRBzbuAqjHuuN3Ou3cHXlNlQUlda6jy7k3riNyO+2QyiV48NXn8buH7/EqMd633PMo4Bmnnj/5Tk4tH4FurQNQ9qpCFz/eQ/UCmWt++hCflwKIlfvhIlEip8Xv4VvFs2vU/ILAGysLPHm3OnY/eOXcHd2RPTGg0g/e13UeIHKVoDXf96NkvRcvDVvBha9NPuBk18AMLhXN2xe+QmszMxwY81elGbk3n8nHdD8tlWUlOG7j17XWfILqByDcN3S99Dcvxlu7z2D4pQsnZVdF3HbjkFeWIrP35in8+QXADzauR0+e20u5AUliN9+Qufl34taqUL0xoOQQIJfv3xP58kvAJgzaSSmjxmKwvhUpJ68qvPy70WeX4z47Sfg4miPX798T6fJLwCQSqX48s0X0al1KFJPXEFBXOr9d9Kh/NhkpJ2MQJe2YViy8AWdJr8AwMqy8rPn7GiP+G3Hq8xQTtRYNfhTsGLFCqxfvx4bN25EYWGhLmIiogaoKCxBwrbjcHKww0cLnhWtdYWftwfenjcD5bmFSNgdLkodNSlISEXqiavo1DoUcyaNFK2eAY90xvih/ZAXlYiMczdEq+duqaciUBifihljh6Fnp7ai1fPC9PFo2dwfyYcvoig5U7R67ha/4yTkhSV4/6U58HITZzwTiUSCxf97HjbWVojbfBSKEv1MxFKcmo2kAxcQHOCLt+bN0Hn5EokEnyx4Fl7uLri1Jxxl2QU6r+NupZl5uLXnNPy8PbB2ybs6uTmwMDfD2iXvIMDHC7f/OouSdHFvwG/tOY3ca7cwZlAfrP7kjSqzptaVqYkx3ntxFv737FSUpOUgav1+0RLjFYUluPb9TqjL5Fj96UK888JTMDer+wDRDrY2WPn+Arz74iyUZuTi2g87oRIpsVSUmIGba/fBxtIC279bjKfGP16vGyw/bw9sXvkJJj8+EHlRiYj67YBor6s8vxg31uyFubExNq34GIN6dXugctqGNseO75fAy90FsX8eQeGtNB1HWlXy0csovJWOp8Y/jrlTxuqkzNbBgViz5B2oFUpEbzwEQa3WSbn3khYeiYK4FEwdPeSBX/t7sbGyxNfvvgopgOiNh7STA4gtJzIeWZdiMLBnZ4wb0k+0eiYOH4D+PToh80IUcq4liFbP3RIPnEdJWg5emTmxQWNG3c/bz89EMw833N5zGmXZ+aLVcydBEBCz6TCU5RX4YuELNY6jpwtGRjIse/slmJmYIOaPg1BVKESp524quQKxfxyGmZkplr39cp0nT6ovRztbLH59LhRlcsRuOiJKHUS61OAEmKenJzZt2oSJEyfC1tYWlpaWsLKyqvJHRPqTcuwKFGVyfLLgOdF+zDWmjxmKzm1CK2eDKygWtS6NxL/PQSaVYenbLz3w4Kt19f7Lc+Bob4uk/ef1coOgVqqQfOA8PFyd8Obc6aLWZWxkhOXvvAIIQNL+86LWpVGWnY/M8zfxaOd2mDCsv6h1uTo54IOXZ6OiuFRvraUSdp6EFMDyd17WyfgaNbG0MMeyt16CqkKJW3vFbX0tCAJiNh6CoFJj2dsv37P1UX1ZWVpg+dsvA2o1YjYehKAWJ+lReCsdKccuo11YC518Z7w4fYKoifHKG7IjkBeWYPk7r2BI7+4PXNYzk0fh1VmTUZyajcS/zuowykoqhRLRvx2AFMBvyz+o10xpd5LJZPj8jecxtE8PZF+NQ+bFaN0Gin9e1z8PQ1kmx7cfvIa2oc0bVJ6HqxPWL10EYyMjxGw8JFqCsTQzD4l/n0VAM0+d/yZ0a9cST08aiaLEDKQcu6LTsu+mklfg9t7T8HRzwdsiPBzQaB0ciBemj0dJarZeHlwJgoDbf52FhbkZFv/veVG7c1c+2JkHc3MzJP59Vi8t05VlcqQeu4wW/j54fvp4UeuyMDfDl2++AJVCieTD4rcMBioT+Hk3EzF6UG+djdlWG/9mnnhtzpMoyylE5oUoUevSyDh/E2W5hfjfM1Ma1HK7Lgb1qhxHMffGLRQlZohaF1FDNTgBNn36dEyfPh1z587F3LlzMWPGDO0yzZ8hCIKgnfrZEPsTGYJaoUTGuRvw9XLHkN66f8J6N6lUiueeHANBLSD9tPhdQUoz85Afk4xhfXogoJn4g/faWlth2ughKM8rQu6N26LXlx0Rh4riMjw17nGdN8OvSWiQH/p174jc67dQnlcken1p4dcAAM9PG6eXcZ9GP9YHbs6OSD99DYJK3ASm9tzs+8gDJwLqqkfHNni0c1vkRMSjolC87gYFcSkovJ2OaaOHoHMb3Y9L2aFVMGaMHYaipEzkxybrvHxBEBC7+QhMjIyx7O2XHngG1bu9//IcuDo5IGHnKSjLddv9O/tKLHKv38Kox3pj9GO9G1zeSzMmom1oc6Qcvazzlp5JB86jNCsfC2Y/gbYhQQ0qSyqV4vM3noeTgx0Sth2HoqRMR1FWyomMR15UIsYP7YcBOrrRbe7XDK8/PQWlWfmi3bCnHLsMtVKFzxe+UK9WgHX12tNT4OnmgpSjl0VtMZV5MRrK8gq8MG08rCx1l0ivydwpY2FpYY60U5GiJ4kKb6WjJC0HE4f1h6uTg6h1AYC7ixPGD+mL4pRsvSQZMs7fhKpCiWefGKWz78976dGxDdqGBiHrYjSUZfL779BAaaciAQDzpowTvS4AmDp6iN7OTUEQkHYqEtZWFpgyarCodWnMm1bZQjUtPFIv9RE9qAYnwL755pv7/unT1atX0b9/f5iZmcHc3BwdO3bEoUOH9LY/kSFlX42DoqQc08YM1Xk//9r079EJHq7OyDhzXfQkgyaBMm3sUFHrudMTIwZBJpVqL5TElHYqEibGxpgwXNzWUXeaPmYoBEFA+ulrotajViiRee4GApp5okeH1qLWpWFkJMOUUYMhLyhBzvVbotalueDT17k5bcxQCGo10kRMPGvOeTG7Gs+eOAISiUSUz1dhfBpK0nIwZdRgNPdr+IxlGrbWVlgw50koy+Q6f5KffOQyzMxM8cErc3RSnpGRDEveeB6CIOi0lY9KrkDaqUgE+njh2SfG6KRMe1trvPvCU1CUyZF+Rretd1JPRMDISIa35uq29dGcSSMrf/9OX4Naxw9NlWVyZF2MRpuQIHRr11KnZWuYm5lixtihqCgqRU6kOOMlam7ELS3MMWZQb1HquJOlhTkmDO2HkrQc0bunar73p47W3zXJtH/qEvuaRBAEpIdfg621FR7v/6iodd1p+pihUCmUyDh/U9R6FCXlyL4Si85tQhES6CtqXRpVz810UesqjE9DaUYuJg4boJ3hWGwtmwegQ6tgZF2OFX2cTKKGEP0O+exZ3Te7r01CQgJ69eoFOzs7pKeno7CwEH369MGgQYNw6tQp0fcnMrS86Mqp5ccO6qO3OmUyGUY/1hvywhKUiDyYbn50EjxdndG1bd1m+dAFD1cn9OjYBgVxKTq/wbmTSq5A0a109O3eUecDw99L767tYW9ng/x/zh2xFCVnQVEqx5jBffU6Rf24wX0BQPTjy712Cz6ebno7Nwc+0gX2djbIvS7OWDDKMjlyIuPRq0t7+Hl7iFIHUDkofp+uHZB7LUHnF8xppytvEKeLkJQcNbAXrK0sdPqkuygxA8XJmRg7qI9OvwPCmvujW/tWyLkap7MB8bMux0BZJseMccN0Oq7M4/17wsnBrrLVpo66xZZm5qEgLgXD+/WEs6O9TsrUMDKSYerowZAXliD32i2dlp0dEQ9VhRLTRg/Rabl3mzh8AIyNjZBxTpyEgzyvCCVpORgx4FG9tGwGgEmPV87+q+v35E6CIKAgOgmtWgSghb/uEuz3ExLoi7Dm/qL/plUUFKM0Mw/D+vYQpfVhbYb37wkjI5nox1cQnwq1UoWx/1wj6MtYPV2T5EUnAgDG6PF+AKi85lIrlChMEDf5TNQQDU6AJScn1/p3+vRpDBki7g/3nd5//30oFAr8+OOPsLe3h5mZGT777DP4+/vjtddeE31/IkMrTs6El7sLnBzs9Fpvu7DK8VSKk8QbTF0lV6AsMw/twprrNYECVB6fWqlCaUaeaHUUp2ZDEAS0D2vY2DT1JZPJ0DYkCCVpOaIm+Ir/6X7VPky/U2R7ubvAwc5GW78YFCXlKM8tRKfWoXo7N42MZGgf2hyl6bmidF0qTsmCoBZ0OlNbbXp3bQ9BEFCcrLuZ2wRBQEFsClq1CECgj5fOytWwMDfDoEe7oTQ9FxXFuumul3uz8oZl/FDdD6Q9fkg/qJUqFMSl6KS8vKhESCQSnd9cmRgbY/RjvVGeW4iyLN183+bHVh7zqIG9dFLe3TTlaurRFU0XN7E/g452tmgTHIjipExRumVpPtedW4fovOzahAT4wtzcTNQJXioKilFRXIb2LfX7mwYA7UKbo6KoVNQZ94qSKt83fR+fhZkZQgJ8dfp7UBPNNUE7PV9zhQb5w8hIJuo1CVD5uTMxNhZlJvF70YyvKPb7R9QQDU6AeXt71/rXrVs3ODnVbXrphhIEAdu2bUOvXr1ga/vvk1OpVIrhw4fj5MmTyMiovb98Q/cnMrTKBFE+2gQ3bCyWB6EZ80jMHzxNgkjs8ZVq8u/xiXfBoim7tYHeP9ETfP+cG62CxZtFqiYSiQRtRE7wFadUHpu+z03t+ybCLIqaZLY+jkmMz1dFYQkqikrRpoFjU91LmxDdxl2ckgmZTIZWLXT/mrf7J/Gsq+/o4uQsBPp4wdZa9xMdaZLkRTqLtfL90bxfuubt7go7GysUp+j296E4ORNODnZwc3bUabk1aR0cCEVpOeQijAVpiN82mUyGVs0DUJKSLdpYS5rzs+lfk+j/+NqEBIme4NMkiFr4+4hWR01MTYxFT/AJgoCSlCyENffTy9htdwoO8P0nwccEGDVeDf5UfP3119WWKRQKXLt2DWvXrsWHH37Y0CrqJCUlBfn5+WjRovqTCs2yyMhIuLq6irI/kaFVFJZAEAT4eYs700tNPF2dYWxsBHm+eDNBasr28xKvO1Zt/P/pAqaX4zPA++f3z+xA8vxiWHmI89BCnl8MW2sr0WcmrYmflzsOh1+AsqQcJjaWOi9fc9Por4eJGe6kqa88rwhWXs46LbsspwAAdDp2Vm00dZRlF+iszNLMymSumGO7hARWPlkvy8wHght+E1WWkYeAZp4wMzVpcFl3C/TxhLGxEUp10E1drVCiPLcQoe3bNjywGmhaLOgiVqDy/bG3s4GLoziDlEskEoQG+uHcDd3OXlmeU4g2oS300qr0zs+gmYNuv6PLDfT9GNDMA2evXIOqvAJG5rrvwqf5zfY1wDWJnz6vSQxxfF6a4yuCqa3uf7Mryy6Gt4er3hNEAODv7YmIqDgIKjUkMt2PRiSo1KgoLjPIuWlqYgwvNxdkFYg/sRLRg2rwp37evHm1ruvVqxdWrFiBsWPHNrSa+8rNrbxQurP1loadnV2VbcTYPzMzE1lZVbPdsbGx94yZSJc03aBMTXR/83Q/EokEpiYmUCvFmQoeAIR/js/ExFi0OmqjeU3FnCVL+Kd1komxAY9PIeL7p1LB1ADvHXDn8Ynz/mnOCzM9H5+Zqek/9ev+fVMrKye0sNDD2C+a8WV0+fnSvNeW5uIN/qspW1efG7VCBSuRxkiSyWSwMDODqqLhsar+OV5LS3Fi1bwGah3EClR+PmxEPA+Ayi6xKh1/f6qVKr2NvaT9DIrwG6D5LjEx1m+i4d/vR3G+9zXXJKYG+c2urFPMaxJNi2lDXFOamop/fIJKZZD3Drjz+JSQyXT/+qoNeG4CgJmpCdSFup3Jl0iXRP01evzxx/H888+LWUU1NTV11iyry1O0B91/5cqVWLRoUV3DJNI5zVMkhYhJqHtRKBQwluluMOS7aY5PKeI4VbWp+OemQCrCkzoNidRwx6f452JJqsPBrO8mkUoNcmzAv8cnMRLn/fv33BR3FtS7KZWa81L375tUj98nChE+X5qyKkRM6lYoFACgsyf4EpkUFSK93oIgQK5QwFwHn3HtuSHSayvG66ooV+ikrNpUKJQ6b8khlUq1311i0/7GifAboDlfVCq1TidMuB/Nd5cYLWzuLNegv9kiXpNoZhJXKJV6fd8q69Qcn4j1GvKaRKE5N8U5PkOem8A/34d6PmeI6kPUWSDlcjns7XU7405tNGON5eVVH8NGs+xe45E1dP/nnnsOkZGRVf62bdtW5/iJGsrYsvIJd3pWjt7rzisogrxCoY1BDIY8Pk2dRhZiHp95lbr0KT0rG4C4x2dkaY6CwiKUlut/auz0rGxAAhiJ1JrC2KryvUvJEHdQ27ulZmRXqV+XjK0tAAC3U8Sdqh0AbqdWzhaly+6ppvbWAID4RN0OTH4nTdmauhrK1N4acYkpUIlw05KamY3ycjlMHRoeq9TEGMaW5oi9Lc4sZrG3kgEAZo66mQnT1M4amTl5KC7RzQyYNYlLTIGpnW7OAw1jGwvcTtHPTGqaz7kYXcSNrSp/V1Iz9TsmUEpGFqRGMshMxWkF0yiuSUS85jIy6DWJ+MdnbGmG9Kwc0caIu5e0rBzITI1FS85KjWSQmRgb5L1Tq9XIyM6FsYjXk0QNJVoCTKVS4eOPP8YTTzwhVhVVeHh4wNnZGTdu3Ki27vr165BKpWjVqpVo+7u4uCAsLKzKX2Cg/geOpP8uY0tzmNpZ4cpN/Xe9vfpPnboeh+hOlp6VZV+9YYjjiwEg9vE5/VOXgd4/CWDlId5gy1aeTlCrBVyPSRCtjtpcuRkLC2d70W6ErDTnpp7fO837ZinCuG3W3i7/1iGyf78/XHRWprmTHWSmxqLGrynbWkdxW3k5o6ysHLG3k3VS3p2u3Kj8DtNFrBKJBFZezrgWnSBKC8F/Y9XN9621lzMEQUBEdLxOyrtbbkEhUtIzYeWtu/MXqDwfbiWnoaBIvHGeNK7ejIXM2AgWLrp/aG1lgN9uQRBw5UYMLNwdRWtFZOlhmO/9O+vUvLZi0FzvGOr4jExNYK6jJHhNrDydUVhcopeHPHdSq9WIiIqDlaezaOP7SSQSWHo44erNWL0n+OKTUlFSWgYrT/1Mgkf0IBqcAAsODq7xz8HBAcuXL8fGjRurrRPL2LFjcfz4cWRm/vsUXqFQYNu2bejbty8cHf+9uauoqEBxcTHUavUD7U/UGFl5OSMmIVHvrWz0kSAysTJwgk8C0QaIB/69+TdEgu/fBJF4Y30Y6mI6r6AISakZop6bpnZWMLY0x+XrMaLVcTdBEHDpRjTMnexgZKb7903zep2+FKnzsu925vK1KnXqgkQqgXUzV5yLuIGcfN0Nrq+hVqux/+Q5mFhb6KRVFQDYBlQOEr7r0EmdlHenXQdPAABs/HUzKLKtvwcqFArsP3FWJ+VpCIKAHQdPwMjMBJbuurnmsvZ1AwDsP35GJ+Xd7cA/r4GNj24nSdIkoc9eua7Tcu9WLq/ApetRsPBwFKVFiua37bKOJwm4l5SMLOTmF4r6vW/hYgeZibhJ9tpoE0ROdqLVYagHO2q1GldvxsLC0wkSqXgTQGjODU3CXV+0CSIRz02g8vgMkeAT44EWka6JlgDr06cPRowYgbCwML0lwN566y3Y2dlh0qRJiIqKQlJSEmbPno2srCx8/vnnVbZ9//33YW1tjVOnTj3Q/kSNkY2fB9RqAX8fE+dCvzZ7jpyCzMQIVh7i/qDb+LnjZtwtxInYreluJaVlOHz6Iqw8nEVNEJlYmcPC2Q5/nzwLeYW449XcKSIqDkmpGbDxE3f2SetmrpDKpNhz+NT9N9ahvUcr6xPz+CQSCWwDPXHlRozezs3L16ORmJIOu0AvUco3tbWCtY8bdh06gTwRZ3MqKCrGjgPHYe3tAjMddSXUcO0cCoVCiY07D+i0XAA4fPoiklIz4No5RGdP8R1aNIOpnRV+3bpXpy2rsnLysPPQCdgGeMLC2U4nZbp2CoZEKsXPf+7SSXkapy9fQ1T8bbh0DIZUR4Om2/i6w8LZDht2/o2ycrlOyrzTmk27ITMxgnPbIJ2W69jSH5AA67ft02m5d9t16ASKikvh1FqcXgsWLvYwsbbAtv3HReneW5Otfx0BANG+H4HKcS2tfd1w+nIksnPzRavnbpk5uTh75Tqsfd1ETRBZuNjB2NIce46cqtJYQGzHzl5GSWkZbEW+JtFcE+w5ot9rEs01kI2fuDM0ao9Pz9dc2uP758EDUWPU4ATYtm3b6v0nFg8PD5w6dQqurq7o27cvOnbsiKysLBw/fhxt27atsq2pqSksLS0hu6NpdH32J2qMXDq0gNRIhl+27NFbnZdvxODy9Rg4t2suWhczDbcuYQCAtXo8vs37jqCktAxuXUNFr8u1Syjy8gux69AJ0evS+GXzbgCAW9cwUesxtjCDY+sAnLxwFdEJiaLWpSEIAn7+cxdkJsZwbtdc1Lrcu7UEoL9zc80/75t7N/HeN4/uLSGvUOC3HX+LVsfvu/ajXF4B9+61DzHwoJxa+cPE2gKrftuK/ELdJfFUKhW+WL0BEolEp58biUwK9+4tkZGdixW/btJZue9//ROUShU8HmmtszJNbCzh1CYAJ85fwV/HTuukTKVShfeW/QCJRAL37i11UiZQmaB2694SBYXF+PGPHTorF6hs/XXpejSc2zWHkbluxxg0c7CBQ7AP9p88i8RUcVpxCIKAn/7cBamxEVw7ifOAWiKTwq1rKFLSM3Eo/IIoddxJpVLhly17YWJtAceWfqLW5dYlFEqlChtE/I682/rtf0OlUol+TSKRSuHaOQS3ktNw/NwVUeu60y9b9gASwLVziKj1mDvawi7IC7sPn0JmTq6odWmoVCqs3Vp5bjqE+ohal2OYH0yszLFmy269JTDTMrOx72g47Fs0g5mDjV7qJHoQog6Cbwh+fn7YsGEDUlJSkJGRgd27d6N9+/bVtnv77bdRXFyMbt26PdD+RI2RiZU5nFoH4PSlSL01W1/9+3YA0OkNS21sAzxg4WqP33fuR2Fxiej1qVQq/PjnDhiZmsClvbgJFABw7RQCqbERVm/crpcLluy8Amz+6wisvV203W3EpDlHVm/U7U1obc5cvobI6Hg4d2guSjfBO2nOzd92/o2snOqTqejS7ZQ0bPv7GGz83EUZ/0vDqXUATG2tsPTn35GSofsBrNMys/HF6g0wtbGEU1vdtz6RGsngO6QrsnLy8M7SH3RW7ncbtuHStSh49Gyt81Zrno+2hYWrA75YvQHXdDBm1b6j4di09xAcQnx0ngzwG9YdRuamWPDpN8jOa3g3069++QNXb8bCs3c7nY9F5dY1DBbOdvj8+/U6S8DnFxbh1Y+/gpGZCZoN6KSTMu/m8WgbqNUC3lj8rShj+WzcdQCXrkXBpWMLUQetdusSBolUgq9/+VP037Zt+48hJT0Tbl1DxZ1FEIBjSz+YWFvgly27US6vELUuACgrl+PXrXtgamsJx1Bxk3sA4N41DJAAP/y+TfS6gMrftr+Pn4Z9Cx9Rx//ScO/eEiqVCms27Ra9LgDYd+y03s5NqZEMrl1CkZSagb9F6v59t5837YZKrdbL/QBRQ9Q7AaZ8wGb5D7ofEdWPZ6+2kEgkmP/J16IMUHyn4+cuY/O+w7AL8hJ1MFYNiUQCr97tUFhcgveW6e6GtjarNmxFdHwi3Lq3FLX7o4axpRlcO4fg8vUYvbQkenPJtygvl8OzdzvR6wIquyLZ+Lph3bZ9OHdV/HFtXvvsG0hlUnj2bCNqXUDluenzWBcUFZfi9cUrRBt4Vq1W4+UPlqFCoYDPwM6i1KEhNTZC4NheKC4pxfyPv9LpjasgCFjwydcoKi5FwJhekOmou9vdXDoGwz7YB3/uOYg1mxreXe/Y2Uv49Lu1sHC2g8/grjqIsCqpkQzNJ/SFWhAw+aV3GtSl9vSlSDz7zucwtjBF4NjeOh9w2dTWCv4jeyIrJw+TX3qnQV1lf9+5H59/vw6Wbg7wGaj7ZJLM2AhBE/qiQqnAU//7uMHjwlUoFHj27cXIzMmD3+M9YGpnpaNIq7IP8oZLhxY4FH4ev+/cr9OyUzOy8c6y72Fqawm/Id3uv0MDmNpZwa1rS5y7eh0/6+BzWJusnDy89eV3MLEyh3sP3bV4rI1UJoPno22QmpGNL1avF72+z79fh7TMHHg82la0GQTvZOZoA6fWgTh46rx2HEGxqNVqvPrxV1CrBXjp6ZrEMdQPFs52WPHrZtFbphcWl+CtL7+DkakJ3LrqJ0Hk3q0lZCbGePOL71BULN4suABwM+4Wvl2/GRau9nAIEbd1G1FD1fvbMzg4GGvXroVCUbcxahQKBdauXYsWLVrUOzgiqj8rT2d49mmHiJuxOu1Gc7fiklK8/OFyyEyMETS2j2j13M2lYzDsmnvjt537cfDUedHqiU5IxOLv1sHC2Q7NRLghq43v4K4ws7fG+9/8JFq3F6ByUOwdB47DsaU/nFoHiFbPnSQSCYLG94VEJsVLHywTZTwejS9Wb0BMQhK8B3QSZWazmji1DoBTm0DsPRKOTXsPi1LHj3/sRPilSLh3awm7IPHGt9FwCPGFa8dgHDl9Ee8tX62TxJ4gCHj/qx9x8NR5uHRoAccw8VoySCQSNJ/QF+bOdnjj82+xav2WBz6GfUfDMfXVRYCRDMFTHhMtaWfdzBXNJw9AVl4+Hp89v95P7wVBwNotezHxxbehFNQIfWoYTG3FSdC4dmiBZgM7IeJmLB6fPb/eA0rLKxT4eOUvePnDZTCzt0boU8N0NvbX3Wx83eE/vAdibyVhzLNvIDk98/471aCwuATTF3yAI6cvwrVzCFw7idtVy3/EIzC1tcT/Fq/EyfO66YqWV1CEJ15+B0XFpQgc01vn3Tdr4je0K8wcbPDhijWizHSqVqux4NNvkF9QBP9Rj8LEylznddTE89G2sPJywcp1m3HpWpRo9ZyPuIFVG7bC2tsFnjrsznw/ASN7wtjSDK8vXqGTlp61+XXrXpw8fxVuXUNhF+gpWj13ksikCJrQDwqlEi++vxRKpXhj1C1avhrpmTnwHd4dpraWotVzJ1M7K/gO647UjCy8//WPotWjVKrw4vtLoVKp0XxCP0ikTa6DGTUx9T5Dn3rqKcybNw8eHh54/vnnsXXrViQmJmoTYhUVFUhMTMSWLVuqbDdr1iydB09ENfMZ2BkWrg5Y8v16nc/SBQAKpRLPvr0YKemZ8B3aDWaO+uvrL5FIEDSuD4xMTTDvvSWiPLXLzivAzNc/QoVSgaAJfUW70a2JkZkJAsf3QVmZHNMXfKDTsYs0IqPj8MrHy2FsYYbAMb1Em4q7JhYu9vB5rDPiE1PwwqIvRBkUeceB41jx6yZYeTnDu49+u7AHjn4UpjaWePXj5Th8Wrfj3ew8eBzvLf8B5o428B0qbouNOwWMfhQ2fu744ffteOPzlaio4wOwmlQoFHhzySqs2rAVNr7uCBzdS4eR1szE2gKtnh4BC2c7LPrqR0x84e16JT8Ki0vwyofLMOO1D6E2liFszuOidj0FAOc2gQiZNhiFcjmmzX8fz73zOW7E3rrnPoIg4PSlSEx4/k28/tk3gLkJWj49AjY+4g5G7DOwM/wf74G4pFQMnfkKFi1ffd/XV6lUYe/RcDw27UV8/csfsPJ0Ruu5o3TepfRuno+2hd+w7oiKv43ek57D+u1/1Ssheij8PHpNehaHwy/AtXMIgkRoWXc3YwszhM4YCrVMgideeQ/7joY3qLzk9EyMfvZ13Iy7Dd8h3eAQ6quTOO9HZmqCoPF9IZdXYMLzbz1wArImgiDg7S+/w1/HTsO5bRCc24gzoH9NJDIpmk/sC0ileOqNj3V6XBpJaZmYvfCTf+rqp5fWXxom1hbwH/kocvMLMet/H4kyy3j4pUi8u+wHmNlbw29YD52Xfy82vm7weLQNLl+PxsIl4nQ1/mXzbmzY8TfsmnvDrYv448neyb1rGGwDPbFu2z78unWvzssXBAH/W7xC233dupluZ8MlEoNEeIBPekZGBr7++mv8+OOPSE//t4WCqakp5PJ/n+i7u7tj1qxZmDdvHlxc/nvToV67dg0tW7ZEZGQkwsLqNlBu+69XIam0GH266/cLkpqe0sw8RKzYClQo8cMnb2Bgzy46KbdcXoFn316MfUfD4doxuLJFj4gzEdUm9/otXF+zF072tvjj6w8RHOCrk3Izc3Ix4fm3cDPuNvxHPKKX7nM1STp4Abf2nkabkECsX/Y+HO10Mx7G1ZuxmPjC2ygoKUHYU8P00oroboJajZvr9yP7SixGDngUX733KoyNdJNk3HHgOJ5753MYWZqh1dxRehlH5G4laTmI+HYroFDhq3dewciBDUvyCIKAddv24X+LV8DYyhytnhsNcyf9HpeyvALX1+xBQWwKggN8sfydl9E6uH43mZHRcXjx/aW4HpMA2wBPhM4YIvrYbHdSlskRv/MkMs7egImxMR7v3xNTRg1Gu7Dm1c4/tVqN6IREbNjxN37ftR9FxaWwa+6NoLG99Tq4r7ygGDF/HkHezdsAgA6tgtG9fWu0Dg6Es4MdBEFASkYWrt6MxdEzlxAVX7mdW5dQ7Rhd+lKcmo2YjYdQnJIFqVSCXl3ao2OrELRqEQBbaysolUokJKfh6s1Y7D95FmkZ2ZDKpPDu3xFefduLPibOnXJv3EbspiOQFxQj0Ncb08cMwYj+j8LJwa7atkXFpfj7xBms2bQb5yNuwMjUBL7Du8OtS6heHx4UJWbg2o+7oCgpx6ThA/Dui7Nga133ln2CIGD99r/w3vLVKCktg+/Qbnp/QAAAGeduInrjQbi7OmH9l4sQEujboPLK5RV4c8m32LDjb9gGeCJs1jC9PrTSyLwQhajfDqCZhxv+XPERmnnoJvF8OyUN4+a9iaS0DLSYNEAv45HeTRAEJOw8iZRjV9CjY2usWfw2rCwtdFL2qQtXMeXVRagQ1Gj59Ai9jEd6N7VShWs/7kJ+TDKmjxmKj+Y/A6mOWjH9smUP3li8EmaONmg9dzRMrHXzutVHRWEJrq7YivLcQnz2+lxMGTVYJ+Wq1WosXPItftm8B/YtmiF0xhBIjfT3PU5Nz+FT1+FtYYWLzz9T530eJN/yQAkwDaVSiXPnzuHEiRNITExEfn4+7Ozs4OPjg549e6JDhw4w0tFNzcOICTAytOKULFz7YSdUpXLMmzYOL8+cBFOTB5+p8WbcLbz4/lJcvRkL53ZBaDGxv16fRN4t+2ocotb/DQszM7z/0mxMHD6gQTckh09fwCsfLa9spm6gmwMNQRCQ+Pc5JO4/By93Fyx76yX06PjgyTi1Wo1ft+7Foq9+RIVKheApj+ntyX+N8ShVuLnub+RExqNDq2Asf+cVBDR78G4PZeVyfP79OqzasBUmNhYIm/04LN0cdBhx/ZSkZiPyh52oKCrFyAGP4sP5zzxQEjM9KwevffoN9p84CzN7a7Sc8zjMne10H3AdqFUqJB28gKQDFyAFMKRPd0wfMxTd2req9XMnCALCL0Vi7eY92HXoBNQAvPu1h3e/jga7UM6LSkTigfMoTEgDAJiaGCM0yA/uzk6QSiXIyS9ERFQciksqx0yxcHWAZ6+2cO0UrNeEh4YgCChKzEDaqUjkXI2DSlHz2I7GFqZwbt8C7t3CYOFqmHNfUKuRF5WItFPXkBd1G4K65ktMUzsruHYOhVuXUL11B7qbskyOxAPnkXn2BhRllQ9vPVydEBLgCwtzM1RUKBBzOxnx/4zDJjWSwalNIHwGdRG9pVpt5PlFlQnRqETY29ngyRGDMGXUYHi71540KC0vx7a/j2LNpt2IiIqDqZ0VAsf2hkOw4cbpybgQhZiNByGTSvHqrMmYO2XsAz0EuRBxEy9+sBRxt5Nh36IZQqYOEn026ntJO30NsZuPwMHWBp+9Pg/D+jasNdOOA8fxv8UrkV9YhMBxveHW2XD3BoJaQNy2Y0g7FYkgP2989c4raBv64Mk4pVKFb9dvxuc/rIcgkyL0qaGw9fPQYcT1o5JX4NpPe1AQl4JHO7fDF2++AC+3B0/GFRWXYtFXq7F++18wd7JFyzmPG3RmxPLcQkR+tx1lOYWYMmow3nl+ZoOSmElpmZj/8XIcO3sZdkFeCJ0+xKCfPWoaHooEGN0bE2DUGJRm5SPq179QnJqNFv4++OS159C1bVi9buSKikux+o8dWPrTb1AqVfDq2x4+j3UxSMuvu+XFJCHm94OQF5Sgb7eOWPTybAT61K9VU3pWDj7/fh027PgbRqYm8B/VE64dxZkSvr7SwiORsPMkVBVKTB8zFK88NQnOjvUb0+pm3C28+cV3OHXhKszsrdF8Un/Y+hvuQlNDUKmRsPsUUo5fgamxMV6bMwXTxw6FhXndZyMTBAEnzl/BG4tXIi4xBdbeLgh+8jG9dsutTUVhCWI3H0XOtQTY29lg+ugheHLkYHi43r/73O2UNPy6dS/Wbt2LouJSuLRvDv+RPUWdqa2uilOzkbDrFPKjkwAALo72aBsahFYtAuFgV/m65+YXIjIqDpdvxCAju3KKebsgL/gN666XCTPqoiQ1G1lXYlGUlImSlGwoSsoAAEamJrDwcISVlwscw/xgG+BhkMRXTQSVGqWZeShOyYKyVA5IAGMrC1h5OcPc0bZRfCdrqBVKlKTloCQtByq5AhKpBCZ2VrD2coGJrWWjeU1VFQpkX4lFflwqipMzUZaVD0GlhkQigZmDDSy9nWHj4waX9i1gbGn4z58gCMg4dwNJBy+gPKewcpw7P2+0Dg5CsL8PLMxNoVCqkJSWgSs3YhERHYeysnLITIzh2jkYPo910WvLwNoUJWYgeuMhlGbkormfN54aPwJjBvWGpcW9x+4SBAHnrt7Ams27sX3/UUAqRbOBneDVq51BH8hpZEfEI/bPw1CUlmNE/0fx5rwZ90xQ1iQxNR0ffP0Tdh06CWNLMwSN6wPHlv4iRVx3giAg+fAlJP51BhIBePbJMZg7ZQzsbOqXEL58PRpvfP4tLl+PhoWzHVo8ObBR/C6oFUrEbj2GjLM3YGlhjrfnzcCEYQNgVo9JkNRqNfafOIuFS1YhNSMLtoGeCJ48ACY2hkn036misAQ31+9HQVwKPN1c8PH8Z9C/R6d6tXYrl1fg951/48MVa1BSWga3LqEIGNlTtLEb6b+FCbAmgAkwaiwqW25cRNKB8xDUaoQE+mL6mGEY2LMz3Jwda9xHoVTiWnQ8ft+1H3/uOYTSsnJYuNqj+YR+ja6Pv6K0HPE7TiLz/E0AwKOd22LKqCF4pGPrWi/MSsvKce7qDazbthd7j4RDpVZXdnEa18dgT/drU5ZdgOg/DqEwPhVGRjIM7/sInhjxGNq3DIa5Wc03MnkFRTh29hJ+2bIH4RcjAABuXcMqu0XpsdtZXRQkpCJm4yGUZRfA2soC44f0x/ih/RAa6AejGloJCYKAtMwc/HXsNNZs3oXohCRIjWRo9lhneOlpdqy6EgQBWZeicXvvGZTnFUEmlaJHx9ZoF9YCrYMD0czDFcZGxqhQKHArORVXb8biYmQUwi9FQhAEmDvZwm9Y90Zx83O30qx8pIdHIj82BaXpuRDumiVSIpXCws0BdoGecOsaprfJCB6UIAiAgEaVRCLDENRCoz8PBLWAvOhEZJy7ieLEDJTnVR8v0sjcFJYeTnBqHQCXDi0a3Xe/WqFE4oHzSDsRAaW8AlaWFujdpR3ahAShdXAgnOztIJPJUFpWhptxt3H1ZixOXYpAdHzl2J+2AZ4IGNUTlm41X8cYSkVhCWK3HEVOZAIkEgkGPNIJU0YORtd2LWttdVNUXIrTlyOxdsseHDx1HoIgwLFVAAJHP2qQbnP3UpKWg+jfD6I4JQtmpiYYNbAXJg4fiDYhQbX2MsjOzceh8PNYs2k3Ll2PhkQigWevtmj2WGeDdFm9lzu7SNvb2eCJxwdizKA+CPL1hqyGrtqCICA5LRO7Dp3Ams17kJiaDiNTY/gO7Q63bvV74Cw2QS0gLTwSt3aHQ1WhgI+nG6aPGYqhfXrAy92lxlhVKhWiE5Kwed8hrN/xN/ILimBmZ4XAcX1g36KZAY6CmiomwJoAJsCosSnNzEPqyQhknY+CUl4BAHB2tEebf8aTkclkKJdXIPZ2Mq7HJGgHu7b0cIJHj1Zwad+8UT/lKUhIRerJCORcjdfejPt4uqFl8wDY2lhBAqCktAzX424h9lYS1P90z7Fr7g2P7i3hEObXqC5U7iSoBeRExiP1ZAQK4iq75MikUgT5NUNIgA8szM0gCALyCosQERWH5LTKgXilRjI4tg6AR49Wog+G3RCqCgUyzkch/VQEStIrWwyZmhgjLMgf/s08YWZqApVKhYzsPFy5GYOcf2ajMjY3hUunYLh3b6X3cbHqQ1CrkXvjNtLCI1EQmwL1PWabkpkYwa65N9y7t4JdoFejvxEHKm9kSzPzoCyvAATAyNwEFi72jfr7gqgpUZSUoSyrAGqFEhKZFCY2FjBzaFytAmujLK9A1sVopJ+5juLULOAedybGluZwahMI9+5hjS7xdSdBEJAfnYTUUxHIu34bgiBAIpHA39sDYc39tYmwouISXItJ0Ha1lUgkcAj1hXuPVrAL8mq01yRqlQpZl2ORdioCRbczAABGRjIE+/uiub83LMzMoFarkZNXgKtRsUjLzAEAyIyN4Ny+OTx6tBJ9MpGGUJbJkX72BtLDI1GWXXm9YW5uhpZB/vDzdoeJsTGUShVSM7Nx9WYM8guLAQAmVuZw7RwC9+6tYGonzuy7uiDPL0LqqUhknLmhbf1sZ2uN1i0C4eHiBCMjGSoUCiQkpSEyOk47a7e5kx3cu7eEa+eQRpdQp4cfE2BNABNg1FgpyyuQfTUORbfTUZychZL0HAiqf1tvmFiZw9LLGVZeLnAI9oG1j2ujvQirSUVhyb9dm5KzUJqVV+WC2szBBpaezrD2coZT6wCDjan0oEozcpEdEY/i5CwUJ2dCnl+sXSeRSGDuYg8rL2dYe7vAqU1go3t6fC+CIKAwIQ15UYn/dE3LgqLk31mnpEYyWLg5wsrLGTZ+7nBq5Q9ZA8a1MwS1SoXSjDwUJ2WioqgUaqUKUiMZTG2tYOXlDAsX+0bVio2ISF9U8goUp2SjODUbylI5BLUaMhMjmDvbwcrTGab21g/V9QhQOf5S9tU4FCVnoiQpC2U5BVXWmzvZwtLLGdZelb/Zja0V+v0UJ2ch51pC5TVJShYqCku06yRSCSxcHSqvSXzc4NwmsFF0wa0rQS0gPzYZ+dFJle9fSjaUZf9O+CYzNtJ2mbf1c4djS/+HaiB4tVKFnMh4FMSnoTglEyWpOVDfMc6kkbkprLycYeXpDLvm3g/NQzl6OOkrAcZHs0T/QUZmJnDrHAK3ziEAKseVUSmUEFRqSI1kkJoYPXQXmHcysbGsMnujWqmCWqGEIAiQGRs99K1SLFwd0OyOQa5VCmXlU3+JBFJjo4fq4utuEokEtv4e2jHKBEGAukIJtVIFiUwKmbHRQ58ckspksPJwglUjfvpNRGQIMlOTKr8BTYGZgw28erfT/q9WqqCqUDSJ32wAlQkSr3/H8FJVKKBWqCCRSiA1MdLrDK+6JpFKYN/cG/bNvQHUcE1iYgSJjmaMNASpkQzObYPg3DYIQGVrdVVF07kfIKrJw30XSEQ6IZFJYSRruk2ZpUayh/4C815kxkaNbgwNXZFIJJCZGnN2ISIiahKa/DWJifFD1zK7rpr6NYlEKmXXRmryGpyyPnXqlC7iICIiIiIiIiIiEkWDE2A9evRASEgIlixZgszMTF3EREREREREREREpDMNToB9//33MDc3x4IFC+Dl5YXRo0dj9+7dUKlqn+GKiIiIiIiIiIhIXxqcAJs9ezYuXryI8PBwTJw4EXv37sWwYcPQrFkzvPnmm4iLi9NFnERERERERERERA9EZ9NWdO3aFWvXrkVycjIWL14Mc3NzfPzxxwgKCkKfPn2wYcMGKJXK+xdERERERERERESkQzqft9XBwQHt2rVDq1atAAAymQynT5/GE088gdDQUFy9elXXVRIREREREREREdVKZwmwvLw8LF26FMHBwRgwYADOnDmDd955B7dv30ZaWhp+/vlnmJiYYNasWbqqkoiIiIiIiIiI6L6MGlrA+fPnsXLlSvz+++8oKyvDo48+ig8++ACjRo2CsbGxdrvp06fjscceg4+PT0OrJCIiIiIiIiIiqrMGJ8A6deoEa2trTJ8+HXPnzkVYWFit27q7u6N9+/YNrZKIiIiIiIiIiKjOGpwA++abbzB16lRYW1vXafvTp083tEoiIiIiIiIiIqI6a3ACbO7cubqIg4iIiIiIiIiISBQ6nwWSiIiIiIiIiIioMWECjIiIiIiIiIiImrQGd4Ek3SstlePwqeuGDoOIiIiIiIiISFSlpXLAwkr0epgAa2T8HewNHQIRERERERERkX5YWOklF8IEWCOz6YkJhg6BiIiIiIiIiKhJ4RhgRERERERERETUpDEBRkRERERERERETRoTYERERERERERE1KQxAUZERERERERERE0aE2BERERERERERNSkMQFGRERERERERERNGhNgRERERERERETUpDEBRkRERERERERETRoTYERERERERERE1KQxAUZERERERERERE0aE2BERERERERERNSkMQFGRERERERERERNGhNgRERERERERETUpDEBRkRERERERERETRoTYERERERERERE1KQxAUZERERERERERE0aE2BERERERERERNSkMQFGRERERERERERNGhNgRERERERERETUpDEBRkRERERERERETRoTYERERERERERE1KQxAUZERERERERERE0aE2BERERERERERNSkMQFGRERERERERERNmpGhAxBLeno6lEolPDw8IJXWLc+XnZ2N7OzsGtcFBQVBJpPpMkQiIiIiIiIiItKDJpcAO3ToEJ577jlkZGTA1NQUMpkMn3/+OSZPnnzffb/55hssWrQIzZs3h0QiqbLuxIkTcHJyEitsIiIiIiIiIiISSZNKgEVERGDo0KGYMWMGvvrqKxgZGWHp0qV48sknYWdnhyFDhtSpnAsXLsDKykrkaImIiIiIiIiISB+a1Bhg77//PszNzfHll1/CyKgyt/fyyy+jbdu2WLhwoYGjIyIiIiIiIiIiQ2gyCTC1Wo29e/eiV69eMDMzq7Ju8ODBuHLlCpKSkupUVkFBAeLi4pCfny9CpEREREREREREpE+NsgtkVlYWcnJy6rRtYGAgjIyMkJiYiJKSEgQEBNS4DQDcuHED3t7e9y0zKCgI9vb2SEtLQ5s2bfDpp5/iscceq99BEBERERERERFRo9AoE2BffPEFPvvsszptm5SUBC8vLxQUFAAArK2tq21jY2MDAPdt0RUSEoIDBw6gd+/ekMlkSElJwcyZMzF06FDs3bsXAwYMqHXfzMxMZGVlVVkWGxtbp2MgIiIiIiIiIiLxNMoEmIuLC1q0aFGnbY2NjQEAMpkMQGVXyLupVCoA0I4LVpsJEyZU+d/T0xN//PEH/Pz88M4779wzAbZy5UosWrSoTjETEREREREREZH+NMoE2CuvvIJXXnmlXvu4uLgAQI1dJ7Ozs6tsUx+2trZo3749Tp48ec/tnnvuOYwbN67KstjYWIwcObLedRIRERERERERke40ygTYg3BxcYGnpyciIiKqrYuIiICRkRFatWr1QGUXFRVVG1i/pvofJMFGRERERERERETiajKzQALA5MmTcerUKdy+fVu7rKSkBFu3bsWwYcNga2urXZ6dnY2bN2+irKxMu0yhUFQrMyIiApcuXbpn90ciIiIiIiIiImq8mlQC7I033oCfnx9GjhyJgwcPIjw8HOPGjYNSqcSSJUuqbLts2TKEhITgwoULACrHCQsNDcXnn3+OgwcP4vz58/j2228xcOBAuLm54fPPPzfEIRERERERERERUQM1mS6QAGBvb4/Tp0/j008/xcKFC6FUKtGxY0d8++238PHxqbKts7MzWrRoAQsLCwCVg+gfO3YMq1atwmeffYb09HS4uLjg+eefx7PPPgt7e/t6xyOXywFwNkgiIiIiIiIiIl3R5Fk0eZe6kAiCIIgV0H/d9u3bOQg+EREREREREZEItm3bhhEjRtRpWybARJSfn4+jR4/C29sbpqamhg6nCs0Mldu2bUNgYKChwyED4XlAAM8DqsTzgHgOEMDzgCrxPCCA5wE17nNALpcjKSkJvXr1gp2dXZ32aVJdIBsbOzu7OmciDSUwMBBhYWGGDoMMjOcBATwPqBLPA+I5QADPA6rE84AAngfUeM+B9u3b12v7JjUIPhERERERERER0d2YACMiIiIiIiIioiaNCTAiIiIiIiIiImrSmAD7j3J2dsa7774LZ2dnQ4dCBsTzgACeB1SJ5wHxHCCA5wFV4nlAAM8DanrnAGeBJCIiIiIiIiKiJo0twIiIiIiIiIiIqEljAoyIiIiIiIiIiJo0JsCIiIiIiIiIiKhJYwKMiIiIiIiIiIiaNCNDB0CN05YtW7Bhwwa4u7vj66+/NnQ4pEdnzpzB3r17ER8fDwcHB3Tq1Anjx4+HsbGxoUMjPSkoKMDmzZtx6dIllJSUIDAwEFOmTIG3t7ehQyM9u3jxIv744w/ExsZi8ODBeOqppwwdEolk79692LlzJ4qKihAaGopZs2Y1mRmfqG6Ki4uxc+dO7N27F6Wlpfj22295DvzHlJSUYMuWLbh48SLy8/Ph7++PiRMnIigoyNChkR6Vl5dj8+bNOHfuHPLy8tCsWTOMHj0a7dq1M3RoZCCnTp3Cl19+CQDYtGmTgaNpGLYAo2oSExMxc+ZMbN++HXv37jV0OKRH48ePx5tvvgljY2MMGDAAdnZ2ePnllxEaGorU1FRDh0d68Ndff8HDwwNLliyBn58fevTogfDwcAQFBeHHH380dHikJ6WlpQgKCsKsWbMgkUi0CVFqmubOnYsxY8bAzc0N/fv3x19//YWWLVsiKirK0KGRnqxevRr+/v7YsWMH0tLSsHnzZpSUlBg6LNKjM2fOwMPDA++++y5cXV3x6KOPIjIyEmFhYViyZImhwyM9iY+PR8uWLXH48GE0b94cvXr1QkJCAjp06IAXXnjB0OGRARQXF+PJJ5/E9u3bsXnzZkOH02ASQRAEQwdBjYcgCOjXrx9MTEyQnp6O4uJixMbGGjos0pOUlBR4enpWWXbmzBl07doVL774IpYtW2aYwEhvfvnlF1y5cgWfffZZlVZ/o0aNwp49e3D79m24ubkZMELSB4VCgcTERAQEBCA9PR3u7u6YO3cuvvnmG0OHRjr2119/YdCgQVizZg2mTZsGAKioqECrVq3g7OyMEydOGDhC0ofbt2/DxcUF5ubmmD9/Pr744gskJCTA19fX0KGRnuzatQtbtmzBihUrYG5url0+e/Zs/PTTT7h27RqCg4MNGCHpQ1FREQRBgI2NTZXls2fPxurVqxEREYGWLVsaKDoyhFmzZuHUqVMIDAzEzp078bCnj9gCjKpYtmwZzp07h++++87QoZAB3J38AoB27dpBIpEgIyPDABGRvo0cORJffvlltS6vw4YNQ0VFBc6cOWOgyEifjI2NERAQYOgwSA9Wr14NKysrTJ48WbvMxMQEM2fOxMmTJ3Hjxg0DRkf64uPjUyXpQf89jz76KH766adq58GwYcOgVqtx8uRJA0VG+mRtbV0t+QUA7du3BwDeD/zH7Nq1Cz///DN+/PFHmJiYGDocnWACjLRu3LiBhQsX4uOPP4aPj4+hw6FGYs2aNRAEAWPGjDF0KKQHtra2NS7XdIWys7PTYzREJLYzZ86gdevW1ZLeHTt2BACcPn3aEGERkZ7VlPQA+PtPlWOC/f777/Dy8kKXLl0MHQ7pSXZ2NmbNmoV58+ahW7duhg5HZzgIfhOze/du/Pzzz3XadvHixfD39wdQ2d1lypQpaN++PebOnStmiKQHX3zxBcLDw++7nYmJCTZs2FBlmUKhwKRJk6BSqRAfH4/8/Hxs3boVI0eOFClaEsvs2bORl5d33+1at26Nd955p9b1t27dwrfffgs/Pz90795dlyGSyNLT0zFv3rw6bTt+/HiMHz9e5IiosUlJSdEmu+7k6uqqXU9E/01ZWVlYsmQJnJ2d8dhjjxk6HNKjffv2YfXq1SgpKcGFCxfQo0cP/Prrr7CysjJ0aKQnTz/9NMzMzPDRRx8ZOhSdYgKsiYmJianz4HT/+9//tAmw999/H5GRkbh06RKkUjYMfNiFh4fX6TwwNTWttkwmk2HixImoqKhAdHQ0vv32W3z22Wfo1KlTjV0kqfHauXNnnZqq5+fn17quuLgYY8aMQVlZGX788UfOBvqQKS4urvNvAsf0+O9RKpVQq9UwMqp+Oaj5rJeXl+s7LCJqBCoqKjB+/HhkZWVh8+bNTHz8xwQFBWHixInIz8+Hg4MDNm/ejLCwMHz44YeGDo304JdffsGWLVuwb9++JvfZZwKsiRk2bBi8vLzqtK1mfJcLFy7gk08+wXvvvYeQkBAxwyM9mT9/PiZOnHjf7WQyWbVlUqkUY8eO1f4/bdo0tGrVCs899xy2b9+u0zhJXKtXr67TzaumpcfdysvLMWLECFy+fBk///wz+vTpo+sQSWTu7u74888/67RtaGioyNFQY2NkZARTU1OUlpZWW6eZAdDa2lrfYRGRgSmVSkyaNAlHjhzB0qVLMXr0aEOHRHoWEBCgvVecNWsWwsLC8Oabb6JLly4YPny4gaMjMaWmpuKFF17AtGnTmmTLTybAmpjAwEAEBgbWa59z585BpVLh3LlzVRIft27dglKpxNixY9GnTx92jXyIdO3aVWdl+fn5oWPHjjh69KjOyiT9GDZs2APvW1FRgdGjR+Pw4cNYvXo1pk6dqsPISF8sLS2rfK8T3S0oKAi3b9+utlyzLCgoSN8hEZEBqdVqTJ06FVu2bMHnn3+Ol156ydAhUSMwfvx4vPnmmzh69CgTYE3c9evXUVhYiOTk5CrXkJoxQceOHYuQkBB88MEHhgqxQZgAIwwcOLDGFgIXLlxAeXk5Jk6cyGmw/+Oys7Nhb29v6DBIT5RKJSZMmIB9+/bh+++/x8yZMw0dEhGJpF+/fvj666+RmZkJFxcX7fJDhw7B2NgYvXv3NlxwRKRXgiBg1qxZ+O233/DZZ59h/vz5hg6JGons7GwA4P3Af0Dr1q1rzA2kpKQgJSUFEydOhJOTkwEi0w0mwAj+/v7ascDu9OGHH0Imk7H1wH9ESkoKTpw4gXHjxmnHgVOr1Vi+fDmuXbvGPv//EWq1GlOmTMH27dvx3XffYdasWYYOiYhE9MILL+C7777DwoULsXr1agDAzZs3sWbNGsyZMwcODg4GjpCI9GXevHn4+eef8emnn+K1114zdDhkALt27UJgYCCCg4O1y7Kzs/Haa6/BwsICkydPNmB0pA8uLi413v///vvvAPDQ5waYACMiAJVdpfbu3Yv58+fD398f5ubmuHHjBvLy8rBo0SIsXLjQ0CGSHvzwww/4/fff4erqir/++gt//fVXlfVPP/00BgwYYKDoSJ9eeeUVJCYmQi6XA6icEUpz0fP666+jU6dOhgyPdMTf3x9btmzB1KlTcfr0aTRr1gxHjx7F0KFD8cUXXxg6PNKTy5cvax90RUREAACee+45WFhYwN3dHV9//bUhwyM92Lx5M1auXAk7O7tqw6IAwKRJkzBmzBgDRUf6YmlpiWnTpqGwsBB+fn4oLCzEpUuXEBAQgP3798PPz8/QIRI1iEQQBMHQQVDjdODAASiVSgwaNMjQoZAeFRQUIDIyEjk5OXB1dUWbNm1gZmZm6LBIT6Kjo3H16tVa17dv377GFqPU9Ozfvx8FBQU1ruvevTs8PDz0HBGJSS6X4/Tp0ygqKkJISIh28GP6b8jIyMDx48drXGdlZcVrwf+A27dv49y5c7Wub9myZZVWQdS0JSQkICoqCoIgIDAwkONBEk6fPl1tXLCHERNgRERERERERETUpEkNHQAREREREREREZGYmAAjIiIiIiIiIqImjQkwIiIiIiIiIiJq0pgAIyIiIiIiIiKiJo0JMCIiIiIiIiIiatKYACMiIiIiIiIioiaNCTAiIiIiIiIiImrSmAAjIiIiIiIiIqImjQkwIiIiIiIiIiJq0pgAIyIiImri3n33XYSEhECtVhsshgULFqBDhw4GjYGIiIj+uySCIAiGDoKIiIiIxJGcnIwWLVrg559/xvjx4w0WR3Z2Nvz8/PDVV19hxowZBouDiIiI/pvYAoyIiIioCVu2bBlsbW0xZswYg8bh5OSECRMm4JNPPgGfvxIREZG+MQFGRERE1ETJ5XKsWbMGkydPhkwmM3Q4ePLJJxETE4NDhw4ZOhQiIiL6j2ECjIiIiKiRysrKgpeXFzp16gS5XK5dnpqaCjc3NzzyyCNQKpW17n/q1Cnk5OSgb9++1dYNGjQIbdu2rbZ8yZIlkEgkyM7O1i6bNWsWnJyckJeXh4kTJ8LW1hYeHh5Yvnw5gMrujZMmTYKdnR0cHR3xxhtv1NjKq0ePHjAzM8OOHTvq8zIQERERNRgTYERERESNlLOzM/744w9cvnwZL730EgBAqVRiwoQJEAQBGzduhJGRUa37nzhxAgDQsWPHBsciCAKef/55zJkzB0lJSVi0aBFeeuklbN68GbNmzcJTTz2FxMRELFmyBJ9++inWrl1brQxjY2O0adMGx44da3A8RERERPXBBBgRERFRI9a9e3csXrwYq1atwrp16/D666/j1KlT2LBhAzw9Pe+5b2JiImQyGZydnRscR25uLsaNG4e+ffvCxsYGs2fPRvv27TFt2jRMmTIF/fv3h42NDWbMmIFOnTrhxx9/rLEcd3d33L59u8HxEBEREdVH7Y8MiYiIiKhRePnll3Hy5EnMmjULcrkcH374Ifr163ff/fLz82FlZQWJRNLgGCQSCQYNGlRlWXBwMC5evIjBgwdXWR4SEoKDBw/WWI6NjQ0KCgoaHA8RERFRfbAFGBEREdFD4KmnnoJcLoelpSXmzZtXp33s7OxQXFysk1kX7e3tYWpqWmWZtbU1bGxsYGFhUW15fn5+jeUUFhbCzs6uwfEQERER1QcTYERERESNXGZmJmbNmoWWLVtCEATMmjWrTvv5+PhApVIhKyurznUpFIoal9fWiqy+rcvS0tLg4+NTr32IiIiIGooJMCIiIqJGTKVSYdKkSSgvL8euXbvw7bffYtOmTdoZGO/lkUceAQCcP3++xvWpqanVWoddv3694UHXQqFQ4MqVK+jZs6dodRARERHVhAkwIiIiokbs7bffxuHDh7Fu3Tr4+Phg6tSpmD17NhYsWIDTp0/fc99u3brB0dERhw4dqnF9VlYWXn/9dWRnZ6OgoABr1qzB77//DgBITk7W+bGcPHkS5eXlePzxx3VeNhEREdG9MAFGRERE1Ejt3r0bn376Kd56660qA81/9dVXaNmyJcaPH4+cnJxa9zc1NcWMGTOwYcMGqFSqautDQ0OhUqnQtm1bNGvWDOvWrcOePXsQEBCAfv364fLlyzo9nnXr1iEoKAh9+/bVablERERE9yMRdDEqKhERERE1SikpKWjevDl+/vlnjB8/Xrt80KBBSE9P13mSqzbZ2dnw8/PDV199hRkzZuilTiIiIiINtgAjIiIiasI8PT2xYMECvPfee1Cr1QaLY/HixQgKCsK0adMMFgMRERH9d7EFGBEREdF/kL5bgBE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" ], "text/plain": [ " x_center_um radius_um\n", "0 -2.975000 0.120400\n", "1 -2.545000 0.120400\n", "2 -2.115000 0.120400\n", "3 -1.685000 0.120400\n", "4 -1.262812 0.116025\n", "5 -0.865625 0.106400\n", "6 -0.502812 0.096775\n", "7 -0.165000 0.092400" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "centers_um, radii_um = nanobeam_holes_um()\n", "\n", "fig, ax = plt.subplots(figsize=(12, 2.8))\n", "ax.add_patch(Rectangle(\n", " (-parameters.interior_um[0] / 2, -parameters.beam_width_um / 2),\n", " parameters.interior_um[0], parameters.beam_width_um,\n", " facecolor=\"#55c2b5\", edgecolor=\"#087d83\", label=\"silicon beam\",\n", "))\n", "for center, radius in zip(centers_um, radii_um, strict=True):\n", " ax.add_patch(Circle((center, 0), radius, facecolor=\"white\", edgecolor=\"#18364a\"))\n", "ax.set(\n", " xlim=(-4.3, 4.3), ylim=(-0.55, 0.55), aspect=\"equal\",\n", " xlabel=\"x (µm)\", ylabel=\"y (µm)\", title=\"Exact tapered-hole geometry\",\n", ")\n", "ax.legend(loc=\"upper right\")\n", "plt.show()\n", "\n", "pd.DataFrame({\"x_center_um\": centers_um, \"radius_um\": radii_um}).head(8)" ] }, { "cell_type": "markdown", "id": "ebc98a2e", "metadata": {}, "source": [ "## 3. Build and voxelize the FDTDX scene\n", "\n", "The builder creates the simulation volume, oxide substrate, silicon beam, air-hole\n", "cylinders, broadband dipole, ringdown monitor, PML, uniform grid, and mirror planes.\n", "Placement and parameter application produce the arrays that the solver will actually\n", "update." ] }, { "cell_type": "code", "execution_count": 4, "id": "0022d5cd", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:00.645935Z", "iopub.status.busy": "2026-08-16T19:31:00.645578Z", "iopub.status.idle": "2026-08-16T19:31:17.955544Z", "shell.execute_reply": "2026-08-16T19:31:17.954647Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[32m2026-08-16 19:31:02.303\u001b[0m | \u001b[33m\u001b[1mWARNING \u001b[0m | \u001b[36mfdtdx.fdtd.symmetry\u001b[0m:\u001b[36mreduce_resolved_slices\u001b[0m:\u001b[36m153\u001b[0m - \u001b[33m\u001b[1mObject 'air_hole_10' straddles the y-symmetry plane asymmetrically (grid [81, 90] about center 86); the reduced simulation assumes mirror symmetry, so the discarded half is replaced by the mirror of the kept half.\u001b[0m\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[32m2026-08-16 19:31:10.975\u001b[0m | \u001b[33m\u001b[1mWARNING \u001b[0m | \u001b[36mfdtdx.fdtd.initialization\u001b[0m:\u001b[36mplace_objects\u001b[0m:\u001b[36m251\u001b[0m - \u001b[33m\u001b[1mSymmetry (1, -1, 0) reduces the simulation to grid shape (180, 86, 160) (PEC walls added on the electric planes: ['_sym_wall_y']; magnetic planes sit half a cell out and carry their mirror in the field halo, so they get no wall object; objects dropped: ['Object_1', 'Object_3']). Results are on the reduced domain — call fdtdx.unfold_detector_states / fdtdx.unfold_fields to reconstruct the full domain.\u001b[0m\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Reduced Yee grid: (180, 86, 160)\n", "Time steps: 62,940\n", "Δt: 47.664 as\n", "Objects: 18\n" ] } ], "source": [ "object_list, constraints, config = build_nanobeam_simulation(parameters)\n", "key = jax.random.PRNGKey(0)\n", "objects, arrays, design_params, config, placement_info = fdtdx.place_objects(\n", " object_list=object_list,\n", " config=config,\n", " constraints=constraints,\n", " key=key,\n", ")\n", "arrays, objects, _ = fdtdx.apply_params(arrays, objects, design_params, key)\n", "\n", "print(f\"Reduced Yee grid: {objects.volume.grid_shape}\")\n", "print(f\"Time steps: {config.time_steps_total:,}\")\n", "print(f\"Δt: {config.time_step_duration * 1e18:.3f} as\")\n", "print(f\"Objects: {len(objects.object_list)}\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "429b1176", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:17.957992Z", "iopub.status.busy": "2026-08-16T19:31:17.957681Z", "iopub.status.idle": "2026-08-16T19:31:18.972518Z", "shell.execute_reply": "2026-08-16T19:31:18.971441Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4.2))\n", "fdtdx.plot_material_from_side(\n", " config, arrays, viewing_side=\"z\", position=0.0,\n", " material_axis=0, plot_legend=True, ax=axes[0],\n", ")\n", "fdtdx.plot_material_from_side(\n", " config, arrays, viewing_side=\"y\", position=0.0,\n", " material_axis=0, plot_legend=True, ax=axes[1],\n", ")\n", "axes[0].set_title(\"Voxelized permittivity · device plane\")\n", "axes[1].set_title(\"Voxelized permittivity · vertical section\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8b59d3e1", "metadata": {}, "source": [ "## 4. Run the simulation\n", "\n", "`run_fdtd` advances the same placed arrays used by the benchmark. No Tidy3D service\n", "or cached field data is involved. The broadband dipole switches off early; the\n", "high-Q mode remains and is sampled every second time step by the point monitor." ] }, { "cell_type": "code", "execution_count": 6, "id": "870ef3c7", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:18.975440Z", "iopub.status.busy": "2026-08-16T19:31:18.975087Z", "iopub.status.idle": "2026-08-16T19:31:48.625957Z", "shell.execute_reply": "2026-08-16T19:31:48.625104Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Local FDTDX runtime: 29.6 s\n" ] } ], "source": [ "started = perf_counter()\n", "_, result_arrays = fdtdx.run_fdtd(\n", " arrays=arrays,\n", " objects=objects,\n", " config=config,\n", " key=key,\n", " show_progress=False,\n", ")\n", "elapsed_s = perf_counter() - started\n", "print(f\"Local FDTDX runtime: {elapsed_s:.1f} s\")" ] }, { "cell_type": "markdown", "id": "f116bb21", "metadata": {}, "source": [ "## 5. Plot the simulated cavity field" ] }, { "cell_type": "code", "execution_count": 7, "id": "64b594d9", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:48.628219Z", "iopub.status.busy": "2026-08-16T19:31:48.627990Z", "iopub.status.idle": "2026-08-16T19:31:49.108326Z", "shell.execute_reply": "2026-08-16T19:31:49.107677Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The final full-domain field is still finite because the cavity rings down slowly.\n", "ey_reduced = np.asarray(result_arrays.fields.E[1])\n", "ey_xy = ey_reduced[:, :, ey_reduced.shape[2] // 2]\n", "eps_reduced = 1 / np.asarray(result_arrays.inv_permittivities[1])\n", "eps_xy = eps_reduced[:, :, eps_reduced.shape[2] // 2]\n", "\n", "# Reconstruct the magnitude on both mirror-reduced axes for display.\n", "ey_abs = np.abs(ey_xy)\n", "ey_full = np.concatenate((ey_abs[::-1], ey_abs), axis=0)\n", "ey_full = np.concatenate((ey_full[:, ::-1], ey_full), axis=1)\n", "eps_full = np.concatenate((eps_xy[::-1], eps_xy), axis=0)\n", "eps_full = np.concatenate((eps_full[:, ::-1], eps_full), axis=1)\n", "\n", "extent = [\n", " -parameters.interior_um[0] / 2 - parameters.pml_layers * parameters.grid_spacing_um,\n", " parameters.interior_um[0] / 2 + parameters.pml_layers * parameters.grid_spacing_um,\n", " -parameters.interior_um[1] / 2 - parameters.pml_layers * parameters.grid_spacing_um,\n", " parameters.interior_um[1] / 2 + parameters.pml_layers * parameters.grid_spacing_um,\n", "]\n", "fig, ax = plt.subplots(figsize=(12, 4.3))\n", "image = ax.imshow(\n", " ey_full.T / (ey_full.max() + 1e-30), origin=\"lower\", extent=extent,\n", " cmap=\"magma\", vmin=0, vmax=1, aspect=\"equal\",\n", ")\n", "ax.contour(\n", " np.linspace(extent[0], extent[1], eps_full.shape[0]),\n", " np.linspace(extent[2], extent[3], eps_full.shape[1]),\n", " eps_full.T, levels=[2.0], colors=\"cyan\", linewidths=0.55,\n", ")\n", "ax.set(xlabel=\"x (µm)\", ylabel=\"y (µm)\", title=\"Executed |Ey| at t = 3 ps\")\n", "fig.colorbar(image, ax=ax, label=\"normalized |Ey|\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f5dcc52e", "metadata": {}, "source": [ "## 6. Ringdown and harmonic-inversion analysis\n", "\n", "A Fourier peak alone cannot reliably determine a $Q$ near $3\times10^4$ from this\n", "compact time window. The same `ResonanceFinder` pole extraction is therefore applied\n", "to both the FDTDX signal and the frozen Tidy3D signal used by the benchmark." ] }, { "cell_type": "code", "execution_count": 8, "id": "f34702c5", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:49.110303Z", "iopub.status.busy": "2026-08-16T19:31:49.110099Z", "iopub.status.idle": "2026-08-16T19:31:51.867870Z", "shell.execute_reply": "2026-08-16T19:31:51.867268Z" } }, "outputs": [ { "data": { "image/png": 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wavelength_umQamplitudeerror
01.5699331370.131060.0048020.000016
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" ], "text/plain": [ " wavelength_um Q amplitude error\n", "0 1.56993 31370.13106 0.004802 0.000016" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "signal = np.asarray(result_arrays.detector_states[\"ringdown\"][\"fields\"][:, 0])\n", "sample_dt = 2 * config.time_step_duration\n", "time_ps = parameters.analysis_start_ps + np.arange(signal.size) * sample_dt * 1e12\n", "resonance = _dominant_resonance(signal, sample_dt)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4.2))\n", "axes[0].plot(time_ps, signal, lw=0.7, color=\"#087d83\")\n", "axes[0].set(xlabel=\"time (ps)\", ylabel=\"Ey\", title=\"Recorded cavity ringdown\")\n", "\n", "frequencies = np.fft.rfftfreq(signal.size, sample_dt)\n", "spectrum = np.abs(np.fft.rfft(signal * np.hanning(signal.size)))\n", "wavelength_um = fdtdx.constants.c / frequencies[1:] * 1e6\n", "axes[1].plot(wavelength_um, spectrum[1:] / spectrum[1:].max(), color=\"#8221a8\")\n", "axes[1].axvline(resonance[\"wavelength_um\"], color=\"#d29b00\", ls=\"--\")\n", "axes[1].set(\n", " xlim=parameters.wavelength_window_um, xlabel=\"wavelength (µm)\",\n", " ylabel=\"normalized FFT amplitude\", title=\"Ringdown spectrum\",\n", ")\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "pd.DataFrame(resonance[\"candidates\"])" ] }, { "cell_type": "markdown", "id": "06a549df", "metadata": {}, "source": [ "## 7. Compare wavelength and Q with the pinned Tidy3D result" ] }, { "cell_type": "code", "execution_count": 9, "id": "a32fd31f", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:31:51.870408Z", "iopub.status.busy": "2026-08-16T19:31:51.870242Z", "iopub.status.idle": "2026-08-16T19:31:52.038045Z", "shell.execute_reply": "2026-08-16T19:31:52.037278Z" } }, "outputs": [ { "data": { "text/html": [ "
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FDTDXTidy3D
resonant wavelength (µm)1.569931.588007
quality factor Q31370.1310629979.880637
\n", "
" ], "text/plain": [ " FDTDX Tidy3D\n", "resonant wavelength (µm) 1.56993 1.588007\n", "quality factor Q 31370.13106 29979.880637" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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0PwAAAAAAsC+HK1i4ublJkmJjYy36EtpSsoHV+fPn1bJlS7m6umrJkiVWCyH/FhwcrA4dOpi1hYaGKigoKNnHBAAAAAAAtnG4gkW+fPkkyeK2DOnR7RqS5O/vn6y5Ll++rCZNmigiIkJr1qzRs88++9gxfn5+8vPzS0HGAAAAAADA3hyuYJErVy4VK1ZMBw4csOjbv3+/PDw8VLFixcfOc+3aNTVu3FiXL1/WH3/8oRo1aqRFugAAAAAAIA043FNCJKlbt27avn27jh49amqLiIjQL7/8og4dOpgeVypJZ86c0caNG3X79m2z2CZNmigsLEy///67atWqla75AwAAAAAA2zhkwWLw4MGqXLmyWrdure+//15Lly5VixYtlD17dk2cONEsdvbs2WrYsKEOHTokSYqJiVHz5s118OBBDRs2TLGxsdq4caPptXfv3ow4JQAAAAAAkAIOd0uIJHl7e2vr1q0KCQnR4sWLFRsbq2bNmql///7KlSuXWWzRokVVv359+fj4SJIiIyOVJUsW1a9fX3/++af+/PNPs/hy5copJCQk3c4FAAAAAACknEMWLCTJ09NT77zzjt55550k43r27KmePXuafvbx8dHGjRvTODsAAAAAAJCWHPKWEAAAAAAA8HSjYAEAAAAAABwOBQsAAAAAAOBwKFgAAAAAAACHQ8ECAAAAAAA4HAoWAAAAAADA4VCwAAAAAAAADoeCBQAAAAAAcDgULAAAAAAAgMOhYAEAAAAAABwOBQsAAAAAAOBwKFgAAAAAAACHQ8ECAAAAAAA4HAoWAAAAAADA4VCwAAAAAAAADoeCBQAAAAAAcDgULAAAAAAAgMOhYAEAAAAAABwOBQsAAAAAAOBwKFgAAAAAAACHQ8ECAAAAAAA4HAoWAAAAAADA4VCwAAAAAAAADoeCBQAAAAAAcDgULAAAAAAAgMOhYAEAAAAAABwOBQsAAAAAAOBwKFgAAAAAAACHQ8ECAAAAAAA4HAoWAAAAAADA4bhmdAJJiYiI0I4dOxQbG6vKlSsrf/786ToeAAAgNS5evKh9+/bJ1dVVNWvWlI+PT0anBADAE8dhV1iEhISoQIECGjt2rL744gsVK1ZMw4YNS7fxAAAAKWUYht555x0VK1ZMX3zxhT766CPlz59f33zzTUanBgDAE8chV1isXbtWffr00bRp09SvXz9J0po1a9S8eXMVKVJEb731VpqOBwAASI2pU6dq6tSpWrNmjZo0aSJJ+uyzz9SrVy+VKlVK9erVy+AMAQB4cjjkCouJEycqICBAffr0MbU9//zzatiwoSZMmCDDMNJ0PAAAQErFx8dr8uTJatKkialYIUlvv/22/P39NXHixAzMDgCAJ4/DFSxiYmK0efNm1a1bV87O5uk1bNhQ58+f18mTJ9NsPAAAQGocPXpUly9fVoMGDczaXVxcVK9ePa1fv15xcXEZkxwAAE8gh7sl5Ny5c4qJiVGhQoUs+goXLixJCg0NVenSpdNkfHh4uK5du2bWdvToUdM4e4kPv2q3uYCMcOTIkYxOIUXCH4ZldApAqtnzz1vCd9mDBw/sNiceSXhvE7sGiY6O1oULF0zXI//FNQiQPFyDAOkno69BHK5gce/ePUmSt7e3RV9C2927d9NsfEhIiEaPHm21LygoKNFxwNPmmZnTMzoF4Kkx/Zkhdp8zLCxMlStXtvu8TzOuQYD0wTUIkH4y+hrE4QoW7u7ukqSHDx9a9CW0eXp6ptn44OBgdejQwaztzp07OnnypCpUqCAPD4/HnAEyWmhoqIKCgrRs2TKVKFEio9MBMj3+zD1ZHjx4oLCwMNWvXz+jU8l0uAYBfx8C6Ys/c0+W1FyDOFzBokCBApKkq1ctlyteuXLFLCYtxvv5+cnPz8+ivWbNmklkDUdUokQJlS9fPqPTAJ4a/Jl7crCyIm0EBARISvwaxMnJSfny5Ut0PNcgmQd/HwLpiz9zT46UXoM43KabPj4+Klu2rPbs2WPRt3v3bnl7e6tChQppNh4AACA1KlWqJE9Pz0SvQSpWrGj1dhEAAGCdwxUsJKlnz57au3evdu7caWq7fPmyli1bpq5du5otpzx06JAWLlyo69evp2o8AACAPXh7e6tTp05aunSp2SqLbdu26cCBA3r99dczMDsAAJ48DndLiCT169dPf/zxh1q3bq2hQ4fKy8tLn3/+uYoWLarx48ebxS5atEjjxo3Tli1bVKdOnRSPBwAAsJdJkyZp+/btatCggd5++23dv39fkyZNUqtWrdS7d++MTg8AgCeKQxYs3N3dtXr1ai1cuFCbNm1SbGys+vfvr+7duytLlixmsRUrVlTHjh2VJ0+eVI1H5pMnTx598MEHZp8JAGmHP3PA/8mTJ4/27NmjuXPnavfu3XJ1ddUXX3yhDh06yNnZIRe2wo74+xBIX/yZy/ycDMMwMjoJAAAAAACAf6PUDwAAAAAAHA4FCwAAAAAA4HAoWAAAAAAAAIdDwQIAAAAAADgch3xKCDKn5cuXKzIy0mpfkyZN5OvraxHn7OysrFmzyt/fX+XLl5eHh4fZuF27dun06dOPPba3t7dat26dorkl6ezZs9q+fbuee+45lSxZ0qJ/+/btOnv2rFq1aqVs2bI9Ng/AkfTt21ffffedbt269djYCRMmaPjw4YqIiFCOHDnSPDcAsJeYmBgtWbIk0f527drJzc3NIs7FxUXZs2dXwYIFVbp0abm4uJiN+/PPP3X9+vXHHr9AgQKqUaNGiuaWpAMHDujYsWNq1KiR/Pz8LPr/+OMP3b17V//73/94Ag2eOA0aNFBsbKy2bt362NiuXbtq48aNunDhQjpkBkdDwQLpJjg4WNHR0WrSpIlF37PPPmsqWPw37t69ezp9+rTOnDmjNm3aaOzYsSpVqpQkad++fVq/fr1pnhs3bujPP/9UxYoVVbZsWVN7njx51Lp16xTNnTBu5MiRcnFx0b59++Tl5WXqO378uBo3bqzmzZurU6dOdnyngNRr3ry5/vjjj8fG1a5dW4GBgWmfkKQ7d+5o3rx5+vHHH3X06FG5urqqVKlS6t27t1555RU5OTmZYkeOHKlx48aZfvb09FTOnDlVtmxZNWvWTD169ODRZQBS5P79+3r55ZdVrFgxVa1a1aK/TZs2cnNzs4gzDEN37tzR0aNHdevWLXXp0kWjR482/R20adMmnTp1yjTPP//8o127dqlu3brKnz+/qb1y5cqqUKFCiuaWpOzZs+uNN95QnTp19Pvvv5vlvGrVKrVq1UqjRo1S+/bt7f2WAakSEBCgixcvPjbuzTffTIdsHrl8+bJmzZqlZcuW6dSpU8qWLZsqVqyoQYMG6fnnnzeLDQoK0q+//mr62cvLS76+vqpQoYLatGmjrl27mv1bAOnEANJJgQIFjOrVq6c67tChQ0bVqlUNLy8v46+//rI6dtu2bYYk4+OPP7bb3Fu3bjWcnZ2NPn36mNoePHhgPPvss0aBAgWMGzduPPacgIzy008/GZKMBQsW2DTPxx9/bEgyIiIiUjz2k08+Md577z1j165dxr1794yLFy8aw4cPNyQZ7733nlnsiBEjDEnGsWPHDMMwjIcPHxrnz583FixYYJQtW9bIlSuXsXbtWpvOBcDTJSIiwpBk9OzZM9Vx69evNwoVKmQUKFDAOHfunNXxX3/9tSHJWLFihd3mnjVrliHJmDFjhqntypUrhp+fn1GjRg0jJiYmyXMCMtIHH3xgSDL27dtn0zxdunQxChQokKqx/fr1Mz755BPj0KFDRmRkpHHq1Cnj5ZdfNiQZ33//vVls27ZtDRcXF9PPUVFRxsmTJ41p06YZ/v7+RvHixU3XJ0g/rB/DE+OZZ57R6tWr5e3tre7duysuLi5d5q5du7YGDRqkkJAQrV27VpI0YsQI7d+/X/PmzVOuXLnslgeQGQ0aNEjjxo1TlSpV5O3trfz582v8+PGqXLmyZs6cmeRYNzc3FSxYUF27dtXu3btVqFAhvfjii7p06VI6ZQ8AUsOGDbVq1SpduXJFffv2Tbe533jjDbVs2VKDBw823QLbo0cPRUVF6fvvv5erK4ulgaRMmzZNgwYN0jPPPKMsWbKoRIkSmj9/vry9vTVr1qwkx3p6eqpkyZLq16+fdu3apbt376p169aKiYlJp+whsekmnjC5cuXSq6++qlOnTumvv/5Kt7k/+ugjlS9fXq+99pqWLFmiKVOmaPDgwWrcuLFdcwDSU9++fa3uR/HDDz+oXLly8vT0VPny5bVs2TKLmHHjxsnZ2dlsOXSCyZMny8nJSUePHk3y+G5ubvL29k52vl5eXho/frzu3bunL7/8MtnjAMAeypcvr6ZNm2rlypXJ2rvCXnN/88038vDwULdu3TR16lT9/vvvmj59uooVK2bXHID01KBBA9WpU8eszTAMTZgwQUWKFFGWLFlUs2ZN7dq1y2Lsyy+/rFy5cikqKsqi79VXX1X27Nl1//79RI/t7OwsFxeXFF2DBAQEaPDgwQoNDdXPP/+c7HGwHQULpKsbN25o4cKFZq8tW7akaI6E+0/37Nlj9/wSm9vDw0MLFizQ1atX1b59ewUGBmrs2LF2Pz6Q0RYsWKAuXbqoTZs2Onv2rH777Tf9/PPP+vvvv83i3njjDbm5uWnGjBlm7YZhaObMmapRo4bKlStn9Rjh4eH6+OOPtWfPnhT/OWrYsKFcXV21adOmlJ0YgKfeP//8Y3ENcvDgwRTNkbD/xL59++yeX2Jz58uXTyEhIfr77781cOBAdezYUd26dbP78YGM9u6772rUqFEaOnSoLl26pG+++UajRo2yWFXZp08fRURE6McffzRrv3HjhhYvXqyOHTtaLUbEx8fr/Pnz6t27twzD0IgRI1KUX8KeF1yDpC/WkSFdRUREWPy2tnLlyqpbt26y50i4BSMiIsKeqT127sDAQFWrVk1//fWX3nzzTbm7u9v9+EBGio+P1/Dhw1W/fn1NmDDB1D5nzhyVKFHCLNbPz0/t2rXT3LlzNW7cOGXJkkXSo13rT58+rXfffddi/gYNGpi+5D09PTVt2jS98sorKcrR09NTvr6+3BICIMXOnTtncQ1iGIYqVqyY7Dky6hokKChIfn5+Cg8PV79+/ex+bCCjXb16VZ999pl69eql4OBgSVLOnDk1e/ZsFStWzLQ5vyTVqVNHFStW1IwZM/Taa6+Z2ufMmaPo6Gj17NnTYn5fX1/duHHD9N+LFi1SrVq1UpRjQECAJHENks4oWCBdlShRQgsXLrRpjoTlXylZxmWPub/55hv99ddfyps3r95//329+OKLVh8zBjypTpw4oYsXL+qdd94xa3dzc1PLli311VdfmbX36dNHP/74oxYuXKgePXpIkkJCQuTt7a2OHTtazL9x40YZhqGLFy/q22+/VZ8+fXThwgWzp4Ikh2EYZk8WAYDkaNiwob755hub5sioa5Bhw4bp+vXr8vX1Vb9+/bRjxw65ubnZPQcgo2zevFkxMTFq06aNWXv+/PlVtWpVnTlzxqw9ODhYvXv31q5du0yrk2bOnKly5cqpRo0aFvNfv35dsbGxOnPmjCZMmKDWrVtrzpw5KfrFiWEYksQ1SDrjlhA8cY4dOyZJKl26dLrNferUKQ0YMECtW7fW1q1bFRkZma6PZALSQ8JvHvLmzWvRZ62tdu3aqlSpkum2kPPnz2vVqlV66aWXlC1bNqvHcHJyUkBAgEaNGqWuXbtqwoQJyXoEWoLo6GjduHHD7JGBAJBeMuIa5I8//tC0adM0dOhQff/999q3b59Gjx5t9+MDGSml1yBdu3ZV9uzZTdcga9asUWhoqNXVFQlcXV1VsmRJffPNN6pUqZIGDhyYohwvXLggSVyDpDMKFniiGIahH3/8UdmyZVPDhg3TZe6YmBh17txZWbNm1ezZs1WiRAlNmjRJy5Yt09y5c+2aA5CRcufOLenRssz/stYmPfoNx65du7R7927NnDlTcXFxSV4s/FvFihUVHx+vs2fPJjvH9evXKzY2Vg0aNEj2GACwh7t372rFihUqV66cxW1yaTX3tWvX1L17d1WuXFljxozR888/r7feeksTJkzQjh077JoDkJFSeg3i7e2tV199VQsXLlRERIRCQkLk5uaWrBUTTk5OqlChgm7cuKHbt28nO8c1a9ZIEtcg6YyCBZ4Y8fHxGjp0qPbv36+xY8fKx8cnXeYeNWqUdu/erblz5ypPnjySpLfeekvPP/+8+vfvr/Pnz9stDyAjlS5dWvnz59eKFSvM2mNjY7Vq1SqrY7p06SIfHx99/vnnmj17tkqXLq3atWsn63g7d+6Ui4uLSpYsmaz4yMhIjRgxQtmyZVOfPn2SNQYA7CEqKkrdunXT3bt39dlnn6Xb3D179tSdO3f0ww8/mG4BmTx5sooWLapu3bopMjLSrrkAGaVu3bpydXW1uAa5fPmy1SeFSI9+aRIVFaUxY8bot99+U5s2bUzX6kmJi4vTnj17lD9//mT/e+LChQuaMmWKSpUqpf/973/JGgP7YA8LOKSEp4lIj/6REhoaql9++UVXrlxRSEiI3nrrrXSZe9OmTZo0aZL69eun5s2bm9qdnJz07bff6plnnlH37t21bt067mfDE8/Z2Vnjxo1Tjx499N5776l///6Kjo7W+++/r0qVKlktziX8hmPatGmSpEGDBlnEtG3bVp07d1aNGjWUN29ehYWFaebMmfrpp580YsSIJPeCiY2N1ZUrV7Rp0yaNHz9eV69e1bJly+Tv72+/EweAf0l4moj0aOXD4cOH9dNPP8nV1VW//vqr6UkBaT13SEiIVqxYoZkzZ6pUqVKmdm9vb82bN09169bV0KFDNX369FTnAzgKf39/DRgwQNOmTVP58uXVsWNHXb58WUOGDFGtWrV08uRJizFlypRRo0aNNHXqVEmyWOF5+/ZtvfTSSxo4cKAqVaokHx8fnTp1SuPGjdORI0f03XffJZnTgwcPdOHCBf3+++8aN26csmfPrhUrVrB/TDqjYIF007ZtW9MO2I+Lu3HjhpYtWyZnZ2d5e3vL399fEyZMULNmzUxPI7DG19dXHTt2TPRxiimd+7ffflOPHj00adIki7kKFCigOXPmaOHChdq9e7fpkajAk6x79+5ycXHR+PHjNWXKFBUrVkxjx47VqVOnLH7rkSA4OFhffPGFXFxcrD5qb+zYsZo2bZpGjBih8+fPK1u2bHr22We1aNEivfTSS1bnLFu2rKRHjxTOmTOnypUrp1dffVWvvfaa2U7hAPA47u7u6tixo6pVq5asOElatmyZXFxclDVrVhUqVEjz589Xw4YN5eLikuj44sWLq2PHjipQoIDNc0dFRWn37t1699131atXL4v5atWqpc8//1x///23Ll26xD31yBQmTpyonDlz6uOPP9aAAQNUqVIlff7555o+fbrVgoX0aAPw9evXKyAgQM2aNTPr8/Hx0fDhw/Xll19q+/btunLlinx9fVWjRg1t3LhR9erVs5gvLi7O9EvILFmyyNfXVxUrVtTo0aP1yiuvJPnvEKQNJyNhu1MAAFLh4sWLKlSokNq0aaOlS5dmdDoAAOAp8eeff6pp06YaOXKkPvroo4xOB2mAPSwAADb5+eefFR8frzfeeCOjUwEAAE+RRYsWydnZWa+99lpGp4I0wgoLAECqnT9/Xg0bNpSPj4/27NnDXi4AACBd7N27V/Xq1dOLL76oBQsWZHQ6SCPsYQEASJUyZcron3/+UZUqVTRnzhyKFQAAIM3FxsbKzc1NWbJkUePGjfX5559ndEpIQ6ywAAAAAAAADoc9LAAAAAAAgMOhYAEAAAAAABwOBQsAAAAAAOBwKFgAAAAAAACHQ8ECAAAAAAA4HAoWAAAAAADA4VCwAAAAAAAADoeCBQAAAAAAcDgULAAAAAAAgMOhYAEAAAAAABwOBQsAAAAAAOBw/h+gUAjXHJfRRwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "golden = np.load(\"benchmarks/goldens/device_nanobeam_cavity.npz\", allow_pickle=True)\n", "comparison = pd.DataFrame(\n", " {\n", " \"FDTDX\": [resonance[\"wavelength_um\"], resonance[\"Q\"]],\n", " \"Tidy3D\": [float(golden[\"wavelength_um\"][0]), float(golden[\"Q\"][0])],\n", " },\n", " index=[\"resonant wavelength (µm)\", \"quality factor Q\"],\n", ")\n", "display(comparison)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(9, 3.8))\n", "axes[0].bar(comparison.columns, comparison.loc[\"resonant wavelength (µm)\"], color=[\"#087d83\", \"#8221a8\"])\n", "axes[0].set(ylabel=\"wavelength (µm)\", title=\"Resonance\")\n", "axes[1].bar(comparison.columns, comparison.loc[\"quality factor Q\"], color=[\"#087d83\", \"#8221a8\"])\n", "axes[1].set(ylabel=\"Q\", title=\"Ringdown quality factor\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d1121a99", "metadata": {}, "source": [ "## Result and next checks\n", "\n", "This notebook establishes the scoped benchmark: a locally executed FDTDX cavity\n", "field, a reliable pole in the requested wavelength window, and wavelength/Q agreement\n", "within the declared case tolerances. For a publication result, repeat at finer spatial\n", "resolution, lengthen the ringdown, vary the fitting window, and verify convergence of\n", "every reported pole rather than relying on this compact parity configuration." ] } ], "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 }