{ "cells": [ { "cell_type": "markdown", "id": "87afa5dd", "metadata": {}, "source": [ "# 06 · Convergence, caching, and cross-validation\n", "\n", "Three questions decide whether you can trust an FDTD number:\n", "\n", "1. **How fine a mesh do I need?** — `convergence.sweep` reruns a job while\n", " stepping the mesh and measures how much the S-matrix still moves.\n", "2. **How do I avoid paying for the same run twice?** — `run_cached` hashes the\n", " whole job and reloads the stored result on a repeat.\n", "3. **Is my *converged* answer *correct*?** A sweep tells you when an engine has\n", " stopped changing, which is not the same as stopping at the right value. To\n", " check that, **cross-check a second engine**.\n", "\n", "§1–2 run on free **beamz** (a straight waveguide). §3 tackles question 3 on a\n", "hard device using **recorded** beamz + tidy3d + Lumerical results, so the\n", "whole notebook reproduces for free — no cloud account or license needed." ] }, { "cell_type": "code", "execution_count": 1, "id": "7c3ca4b5", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:49:56.891359Z", "iopub.status.busy": "2026-07-20T01:49:56.891191Z", "iopub.status.idle": "2026-07-20T01:49:58.006570Z", "shell.execute_reply": "2026-07-20T01:49:58.005773Z" } }, "outputs": [], "source": [ "import json\n", "import tempfile\n", "import time\n", "from pathlib import Path\n", "\n", "import gdsfactory as gf\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from gds_fdtd.convergence import sweep\n", "from gds_fdtd.layout.gdsfactory import from_gdsfactory\n", "from gds_fdtd.lyprocessor import load_cell\n", "from gds_fdtd.plotting import plot_component, plot_permittivity\n", "from gds_fdtd.simprocessor import load_component_from_tech\n", "from gds_fdtd.solvers import get_solver\n", "from gds_fdtd.spec import SimulationSpec\n", "from gds_fdtd.technology import Technology\n", "\n", "\n", "def _find(rel: str) -> Path:\n", " for base in (Path.cwd(), *Path.cwd().parents):\n", " if (base / rel).exists():\n", " return base / rel\n", " raise FileNotFoundError(rel)\n", "\n", "\n", "REC = _find(\"examples/06_convergence_and_caching/recorded\")\n", "tech = Technology.from_yaml(_find(\"examples/tech.yaml\"))" ] }, { "cell_type": "markdown", "id": "54a11951", "metadata": {}, "source": [ "## 1 · How fine a mesh? — a convergence sweep\n", "\n", "A short straight waveguide, swept over three mesh densities on beamz.\n", "`sweep` returns a `ConvergenceReport`; `max |ΔS|` is the worst-case change,\n", "between successive meshes, of any S-parameter carrying real power\n", "(`floor_db=-10` keeps the metric on the through path, not the deep numerical\n", "reflection of a well-matched straight). A `cache_dir` means only genuinely new\n", "points ever cost a run." ] }, { "cell_type": "code", "execution_count": 2, "id": "567406c4", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:49:58.008467Z", "iopub.status.busy": "2026-07-20T01:49:58.008260Z", "iopub.status.idle": "2026-07-20T01:54:50.177044Z", "shell.execute_reply": "2026-07-20T01:54:50.176707Z" } }, "outputs": [ { "data": { "text/html": [ "
18:49:58 PDT WARNING: Using canonical configuration directory at \n", " '/home/mustafa/.config/tidy3d'. Found legacy directory at \n", " '~/.tidy3d', which will be ignored. Remove it manually or run \n", " 'tidy3d config migrate --delete-legacy' to clean up. \n", "\n" ], "text/plain": [ "\u001b[2;36m18:49:58 PDT\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Using canonical configuration directory at \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'/home/mustafa/.config/tidy3d'\u001b[0m\u001b[31m. Found legacy directory at \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'~/.tidy3d'\u001b[0m\u001b[31m, which will be ignored. Remove it manually or run \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'tidy3d config migrate --delete-legacy'\u001b[0m\u001b[31m to clean up. \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "● Done: Raster cache hit (3d): 25986b9b7a7be653deb9ea6a34dcab2289effc66e6128271da9aa4bbd05b653a.npz | load=0.05s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "● Done: Raster cache hit (3d): cb29a8da54e62e698f0312c5fdb2a016ca08b9ee421449c81bde6484a49ab33c.npz | load=0.09s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "● Done: Raster cache hit (3d): 11be3c871fecf7df3d7f924955359cae6c4fc2b1c32fbe830f439d2d0d4e50ed.npz | load=0.18s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mesh 4 → 6: max |ΔS| = 1.099 dB\n", "mesh 6 → 8: max |ΔS| = 0.219 dB\n", "\n", "recommended mesh (tol 0.25 dB): 8 · sweep wall time: 291.0 s\n" ] } ], "source": [ "gf.gpdk.PDK.activate()\n", "straight = from_gdsfactory(gf.components.straight(length=1.5), tech)\n", "spec = SimulationSpec(wavelength_start=1.5, wavelength_end=1.6, wavelength_points=3,\n", " z_min=-0.6, z_max=0.8)\n", "cache = Path(tempfile.mkdtemp(prefix=\"gdsfdtd_conv_\"))\n", "mesh_values = [4, 6, 8]\n", "TOL_DB = 0.25 # engineering tolerance — convergence is always relative to it\n", "\n", "t0 = time.perf_counter()\n", "report = sweep(get_solver(\"beamz\"), straight, tech, spec,\n", " field=\"mesh\", values=mesh_values, cache_dir=cache, floor_db=-10.0)\n", "cold = time.perf_counter() - t0\n", "\n", "for lo, hi, d in zip(mesh_values, mesh_values[1:], report.deltas_db, strict=False):\n", " print(f\"mesh {lo} → {hi}: max |ΔS| = {d:.3f} dB\")\n", "rec = report.recommend(tol_db=TOL_DB)\n", "print(f\"\\nrecommended mesh (tol {TOL_DB} dB): {rec} · sweep wall time: {cold:.1f} s\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "ff48df6f", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:54:50.195841Z", "iopub.status.busy": "2026-07-20T01:54:50.195647Z", "iopub.status.idle": "2026-07-20T01:54:50.373940Z", "shell.execute_reply": "2026-07-20T01:54:50.373181Z" } }, "outputs": [ { "data": { "image/png": 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", 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