{ "cells": [ { "cell_type": "markdown", "id": "fded3776", "metadata": {}, "source": [ "# 02 · Technology & materials\n", "\n", "A **technology** is the other half of a simulation (the layout is the first):\n", "the vertical layer stack and the **material** on each layer. gds_fdtd uses one\n", "YAML for *every* engine — each material carries a neutral refractive index, an\n", "optional [refractiveindex.info](https://refractiveindex.info) reference, and\n", "optional per-engine hints (`tidy3d_db`, `lum_db`).\n", "\n", "This notebook checks whether a real dispersive material, fed into a simulation,\n", "matches the model the engine ships. It does, to within a few parts in\n", "ten-thousand; where it wouldn't, the mismatch points to a specific fab process." ] }, { "cell_type": "code", "execution_count": 1, "id": "74ce48ca", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T00:18:19.624395Z", "iopub.status.busy": "2026-07-11T00:18:19.624304Z", "iopub.status.idle": "2026-07-11T00:18:20.027068Z", "shell.execute_reply": "2026-07-11T00:18:20.026651Z" } }, "outputs": [], "source": [ "from pathlib import Path\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from gds_fdtd.grid import resolve_index\n", "from gds_fdtd.materials.rii import load_rii_material\n", "from gds_fdtd.plotting import plot_tech_stack\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", "tech = Technology.from_yaml(_find(\"examples/tech.yaml\"))\n", "RII_DB = _find(\"examples/02_technology/rii_db\")\n", "WL = np.linspace(1.5, 1.6, 11) # telecom band" ] }, { "cell_type": "markdown", "id": "cf041239", "metadata": {}, "source": [ "## 1 · The stack\n", "\n", "The technology places each material in `z` with its index. Here: a silicon\n", "core on oxide, oxide cladding. The substrate material in this file pins\n", "`source: rii`, so every engine models the buried oxide from the same\n", "refractiveindex.info page — `02b` walks through that mechanism." ] }, { "cell_type": "code", "execution_count": 2, "id": "6c38f53b", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T00:18:20.028936Z", "iopub.status.busy": "2026-07-11T00:18:20.028813Z", "iopub.status.idle": "2026-07-11T00:18:20.106292Z", "shell.execute_reply": "2026-07-11T00:18:20.105869Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_tech_stack(tech, wavelength_um=1.55)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bc825ce2", "metadata": {}, "source": [ "## 2 · refractiveindex.info vs the engines' own models\n", "\n", "[refractiveindex.info](https://refractiveindex.info) is the community database\n", "of measured optical constants. gds_fdtd reads it directly (`materials.rii`).\n", "The FDTD engines each **ship their own** material models too. If both describe\n", "the same physics, they should agree — so we overlay them.\n", "\n", "We compare three workhorse silicon-photonics materials, each from a real\n", "refractiveindex.info page against the matching tidy3d built-in model." ] }, { "cell_type": "code", "execution_count": 3, "id": "434f4cbe", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T00:18:20.106999Z", "iopub.status.busy": "2026-07-11T00:18:20.106935Z", "iopub.status.idle": "2026-07-11T00:18:21.409280Z", "shell.execute_reply": "2026-07-11T00:18:21.408699Z" } }, "outputs": [ { "data": { "text/html": [ "
17:18:20 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;36m17:18:20 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" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import tidy3d as td # noqa: E402\n", "\n", "# (rii shelf/book/page) vs (tidy3d library book/variant), matched by source\n", "COMPARISONS = {\n", " \"Si\": ((\"main\", \"Si\", \"Salzberg\"), (\"cSi\", \"SalzbergVilla1957\")),\n", " \"SiO₂\": ((\"main\", \"SiO2\", \"Malitson\"), (\"SiO2\", \"Palik_Lossless\")),\n", " \"Si₃N₄\": ((\"main\", \"Si3N4\", \"Luke\"), (\"Si3N4\", \"Luke2015Sellmeier\")),\n", "}\n", "\n", "\n", "def rii_n(book_page, wl):\n", " shelf, book, page = book_page\n", " m = load_rii_material(shelf, book, page, db_dir=str(RII_DB))\n", " return np.array([complex(m.nk_at(w)).real for w in wl])\n", "\n", "\n", "def td_n(book_variant, wl):\n", " book, variant = book_variant\n", " med = td.material_library[book][variant]\n", " return np.array([float(med.nk_model(td.C_0 / w)[0]) for w in wl])\n", "\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "for ax, (name, (rii_ref, td_ref)) in zip(axes, COMPARISONS.items(), strict=True):\n", " n_rii = rii_n(rii_ref, WL)\n", " n_td = td_n(td_ref, WL)\n", " ax.plot(WL, n_rii, \"o-\", label=f\"refractiveindex.info\\n({rii_ref[2]})\")\n", " ax.plot(WL, n_td, \"s--\", label=f\"tidy3d\\n({td_ref[1]})\")\n", " ax.set_title(f\"{name} (Δn ≈ {np.max(np.abs(n_rii - n_td)):.4f})\")\n", " ax.set_xlabel(\"wavelength [µm]\")\n", " ax.set_ylabel(\"refractive index n\")\n", " ax.legend(fontsize=\"small\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "726ef80c", "metadata": {}, "source": [ "The refractiveindex.info data and the engines' bundled models lie on top of\n", "each other — agreement to a few parts in ten-thousand. So you can source *any*\n", "material from refractiveindex.info and trust it will behave like the vendor\n", "model, on any engine." ] }, { "cell_type": "markdown", "id": "653cc2b6", "metadata": {}, "source": [ "## 3 · The gotcha: a material is not one number\n", "\n", "Silicon nitride is the cautionary tale. \"Si₃N₄\" spans a whole family — LPCVD\n", "stoichiometric nitride sits near n ≈ 2.0, while higher-nitrogen PECVD films\n", "(e.g. the \"Horiba\" model) run ~0.4 higher. Picking the wrong one is a ~0.4\n", "index error before you even mesh. Always match the model to *your* fab." ] }, { "cell_type": "code", "execution_count": 4, "id": "a19dd9fa", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T00:18:21.410573Z", "iopub.status.busy": "2026-07-11T00:18:21.410285Z", "iopub.status.idle": "2026-07-11T00:18:21.505532Z", "shell.execute_reply": "2026-07-11T00:18:21.504840Z" } }, "outputs": [ { "data": { "text/html": [ "
17:18:21 PDT WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
       "
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
       "
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
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             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
       "
\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: frequency passed to \u001b[0m\u001b[32m'Medium.eps_model\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31mis outside of \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'Medium.frequency_range'\u001b[0m\u001b[31m = \u001b[0m\u001b[1;31m(\u001b[0m\u001b[1;36m362698386340789.0\u001b[0m\u001b[31m, \u001b[0m\u001b[1;36m1329894083249559.8\u001b[0m\u001b[1;31m)\u001b[0m\u001b[31m \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
       "
\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: frequency passed to \u001b[0m\u001b[32m'Medium.eps_model\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31mis outside of \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'Medium.frequency_range'\u001b[0m\u001b[31m = \u001b[0m\u001b[1;31m(\u001b[0m\u001b[1;36m362698386340789.0\u001b[0m\u001b[31m, \u001b[0m\u001b[1;36m1329894083249559.8\u001b[0m\u001b[1;31m)\u001b[0m\u001b[31m \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
             WARNING: frequency passed to 'Medium.eps_model()'is outside of     \n",
       "             'Medium.frequency_range' = (362698386340789.0, 1329894083249559.8) \n",
       "
\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: frequency passed to \u001b[0m\u001b[32m'Medium.eps_model\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31mis outside of \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'Medium.frequency_range'\u001b[0m\u001b[31m = \u001b[0m\u001b[1;31m(\u001b[0m\u001b[1;36m362698386340789.0\u001b[0m\u001b[31m, \u001b[0m\u001b[1;36m1329894083249559.8\u001b[0m\u001b[1;31m)\u001b[0m\u001b[31m \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_luke_rii = rii_n((\"main\", \"Si3N4\", \"Luke\"), WL)\n", "n_luke_td = td_n((\"Si3N4\", \"Luke2015Sellmeier\"), WL)\n", "n_horiba = td_n((\"Si3N4\", \"Horiba\"), WL)\n", "fig, ax = plt.subplots(figsize=(7, 4.5))\n", "ax.plot(WL, n_luke_rii, \"o-\", label=\"rii Luke (LPCVD-like)\")\n", "ax.plot(WL, n_luke_td, \"s--\", label=\"tidy3d Luke2015\")\n", "ax.plot(WL, n_horiba, \"^-\", label=\"tidy3d Horiba (PECVD)\")\n", "ax.set_xlabel(\"wavelength [µm]\")\n", "ax.set_ylabel(\"Si₃N₄ index n\")\n", "ax.set_title(f\"same name, different film: Δn up to {np.max(n_horiba - n_luke_rii):.2f}\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "67eeba26", "metadata": {}, "source": [ "## 4 · What each engine does with dispersion\n", "\n", "tidy3d and Lumerical model the **full n(λ)** curve. **beamz v1** uses a single\n", "constant index (the material's neutral `nk`) — fine for a narrow band, but it\n", "does not disperse. The technology's neutral `nk` is exactly that flat value:" ] }, { "cell_type": "code", "execution_count": 5, "id": "4fc32377", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T00:18:21.506447Z", "iopub.status.busy": "2026-07-11T00:18:21.506383Z", "iopub.status.idle": "2026-07-11T00:18:21.555600Z", "shell.execute_reply": "2026-07-11T00:18:21.554918Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_si_dispersive = rii_n((\"main\", \"Si\", \"Salzberg\"), WL)\n", "n_si_neutral = resolve_index(tech.device[0].material, 1.55).real # beamz v1 uses this constant\n", "fig, ax = plt.subplots(figsize=(7, 4.5))\n", "ax.plot(WL, n_si_dispersive, \"o-\", label=\"tidy3d / Lumerical (dispersive)\")\n", "ax.axhline(n_si_neutral, ls=\"--\", color=\"0.4\", label=f\"beamz v1 constant nk = {n_si_neutral:.3f}\")\n", "ax.set_xlabel(\"wavelength [µm]\")\n", "ax.set_ylabel(\"Si index n\")\n", "ax.set_title(\"engine dispersion support (Si)\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ca857ce3", "metadata": {}, "source": [ "## Recap & next\n", "\n", "- One technology YAML feeds every engine; materials carry a neutral index plus\n", " optional refractiveindex.info and per-engine references.\n", "- refractiveindex.info data agrees with the engines' shipped models to <0.001\n", " — source materials from it with confidence.\n", "- Match the *variant* to your process (the Si₃N₄ trap), and remember beamz v1\n", " is single-index.\n", "\n", "**Next:** `03_first_simulation` puts this technology to work end to end." ] } ], "metadata": { "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" } }, "nbformat": 4, "nbformat_minor": 5 }