{ "cells": [ { "cell_type": "markdown", "id": "afb3f1f1", "metadata": {}, "source": [ "# 10b · Polarization: a splitter and a splitter-rotator\n", "\n", "Everything so far launched one polarization (TE0). Real links carry **two** —\n", "TE0 and TM0 — and managing them is its own discipline. This notebook simulates\n", "two classic polarization-handling devices, both taken **straight from\n", "gdsfactory**, with multi-mode S-parameters (`spec.modes=(1, 2)`):\n", "\n", "1. a **polarization beam splitter (PBS)** built from a directional coupler —\n", " TM couples across the gap much faster than TE, so one length can separate\n", " the two;\n", "2. gdsfactory's **`polarization_splitter_rotator` (PSR)** — designed to take\n", " TM0 in and route it out as TE0 on a separate port (we measure how close\n", " the *stock* cell gets in this technology, on both engines).\n", "\n", "Both devices were recorded on **two multi-mode engines** — Lumerical (licensed\n", "local workstation) and **tidy3d** (cloud) — from the identical\n", "`(component, technology, spec)`, so every number below is cross-checked and\n", "the notebook reproduces for free. beamz v1 is TE-only — polarization work\n", "needs tidy3d or Lumerical (see `07`)." ] }, { "cell_type": "code", "execution_count": 1, "id": "20ab6e94", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:21.975721Z", "iopub.status.busy": "2026-07-20T01:59:21.975575Z", "iopub.status.idle": "2026-07-20T01:59:23.309382Z", "shell.execute_reply": "2026-07-20T01:59:23.308723Z" } }, "outputs": [], "source": [ "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.grid import resolve_index\n", "from gds_fdtd.layout.gdsfactory import from_gdsfactory\n", "from gds_fdtd.modes import waveguide_mode\n", "from gds_fdtd.plotting import plot_component, plot_mode\n", "from gds_fdtd.smatrix import SMatrix\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/10_cookbook/recorded\")\n", "tech = Technology.from_yaml(_find(\"examples/tech.yaml\"))\n", "gf.gpdk.PDK.activate()" ] }, { "cell_type": "markdown", "id": "a53164a3", "metadata": {}, "source": [ "## 1 · The two players: TE0 and TM0\n", "\n", "The strip waveguide's first two modes. **TE0** (E mostly in-plane, `Ex`) is\n", "tightly confined; **TM0** (E mostly vertical, `Ez`… shown via its dominant\n", "in-plane pattern) sits at lower effective index and leaks further into the\n", "cladding — which is why it couples across gaps faster. Solved offline\n", "with the free local mode solver." ] }, { "cell_type": "code", "execution_count": 2, "id": "e840ad8f", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:23.311446Z", "iopub.status.busy": "2026-07-20T01:59:23.311156Z", "iopub.status.idle": "2026-07-20T01:59:25.826963Z", "shell.execute_reply": "2026-07-20T01:59:25.826128Z" } }, "outputs": [ { "data": { "text/html": [ "
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       "             '/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",
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18:59:24 PDT WARNING: Use the remote mode solver with subpixel averaging for    \n",
       "             better accuracy through 'tidy3d.web.run(...)' or the deprecated    \n",
       "             'tidy3d.plugins.mode.web.run(...)'. Alternatively, you can install \n",
       "             the package 'tidy3d-extras' using 'pip install \"tidy3d\"' and set   \n",
       "             'config.simulation.use_local_subpixel=True'.                       \n",
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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "TE0 n_eff = 2.4441 TM0 n_eff = 1.8011 (lower -> less confined -> couples faster)\n" ] } ], "source": [ "n_core = resolve_index(tech.device[0].material, 1.55).real\n", "n_clad = resolve_index(tech.superstrate.material, 1.55).real\n", "modes = waveguide_mode(0.5, 0.22, n_core, n_clad, 1.55, n_modes=2)\n", "fig, ax = plt.subplots(1, 2, figsize=(11, 4))\n", "plot_mode(modes[0], ax=ax[0])\n", "ax[0].set_title(f\"TE0 (n_eff {modes[0].n_eff.real:.3f})\")\n", "plot_mode(modes[1], ax=ax[1])\n", "ax[1].set_title(f\"TM0 (n_eff {modes[1].n_eff.real:.3f})\")\n", "fig.tight_layout()\n", "plt.show()\n", "print(\n", " f\"TE0 n_eff = {modes[0].n_eff.real:.4f} TM0 n_eff = {modes[1].n_eff.real:.4f} \"\n", " \"(lower -> less confined -> couples faster)\"\n", ")" ] }, { "cell_type": "markdown", "id": "d3205a71", "metadata": {}, "source": [ "## 2 · PBS — a directional coupler that splits polarizations\n", "\n", "One coupler, two very different **beat lengths**: the loosely-confined TM0\n", "transfers across the 0.2 µm gap several times faster than TE0. Choosing the\n", "coupler length at TM's *cross maximum* (~6 µm here) makes one device route\n", "the polarizations to different ports. (Pick it badly — say 12 µm — and TM\n", "beats across *and back*; we measured exactly that before settling on 6 µm.)\n", "Ports: `o1` (in, bottom-left), `o4` (through, bottom-right), `o3` (cross,\n", "top-right)." ] }, { "cell_type": "code", "execution_count": 3, "id": "f5e4c7ce", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:25.829421Z", "iopub.status.busy": "2026-07-20T01:59:25.829141Z", "iopub.status.idle": "2026-07-20T01:59:25.949433Z", "shell.execute_reply": "2026-07-20T01:59:25.948908Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pbs = from_gdsfactory(gf.components.coupler(length=6.0, gap=0.2, dx=5.0, dy=2.0), tech)\n", "pbs.name = \"pbs_coupler\"\n", "plot_component(pbs, spec=SimulationSpec())\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2a0b612c", "metadata": {}, "source": [ "The recorded multi-mode S-matrices (`modes=(1, 2)`; mode 1 = TE0, mode 2 =\n", "TM0) from **both engines** on the identical job. Solid = through arm (`o4`),\n", "dashed = cross arm (`o3`); color = engine. The two engines tell the same\n", "story: TE stays, TM crosses." ] }, { "cell_type": "code", "execution_count": 4, "id": "a6dca1d5", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:25.952065Z", "iopub.status.busy": "2026-07-20T01:59:25.951807Z", "iopub.status.idle": "2026-07-20T01:59:26.072377Z", "shell.execute_reply": "2026-07-20T01:59:26.071744Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "lumerical TE0 @1.55: through -0.54 · cross -9.43 dB -> exits through o4\n", "lumerical TM0 @1.55: through -6.31 · cross -1.77 dB -> exits cross o3\n", "tidy3d TE0 @1.55: through -0.81 · cross -7.80 dB -> exits through o4\n", "tidy3d TM0 @1.55: through -7.61 · cross -1.20 dB -> exits cross o3\n" ] } ], "source": [ "pbs_sm = {\n", " \"lumerical\": SMatrix.from_npz(str(REC / \"pbs_coupler_lumerical.npz\")),\n", " \"tidy3d\": SMatrix.from_npz(str(REC / \"pbs_coupler_tidy3d.npz\")),\n", "}\n", "ecolor = {\"lumerical\": \"tab:green\", \"tidy3d\": \"tab:red\"}\n", "fig, axs = plt.subplots(1, 2, figsize=(13, 4.6), sharey=True)\n", "for ax, (pol, m) in zip(axs, ((\"TE\", 1), (\"TM\", 2)), strict=True):\n", " for eng, sm in pbs_sm.items():\n", " ax.plot(\n", " sm.wavelength_um,\n", " sm.magnitude_db(out=4, in_=1, mode_out=m, mode_in=m),\n", " \"-\",\n", " color=ecolor[eng],\n", " label=f\"{eng} through (o4)\",\n", " )\n", " ax.plot(\n", " sm.wavelength_um,\n", " sm.magnitude_db(out=3, in_=1, mode_out=m, mode_in=m),\n", " \"--\",\n", " color=ecolor[eng],\n", " label=f\"{eng} cross (o3)\",\n", " )\n", " ax.set_title(f\"{pol}0 in\")\n", " ax.set_xlabel(\"wavelength [µm]\")\n", " ax.grid(alpha=0.3)\n", " ax.legend(fontsize=8)\n", "axs[0].set_ylabel(\"|S|² [dB]\")\n", "fig.suptitle(\"PBS coupler — TE stays, TM crosses (two engines, one job)\")\n", "fig.tight_layout()\n", "plt.show()\n", "\n", "for eng, sm in pbs_sm.items():\n", " i0 = int(np.argmin(np.abs(sm.wavelength_um - 1.55)))\n", " for pol, m in ((\"TE\", 1), (\"TM\", 2)):\n", " thru = float(sm.magnitude_db(out=4, in_=1, mode_out=m, mode_in=m)[i0])\n", " cross = float(sm.magnitude_db(out=3, in_=1, mode_out=m, mode_in=m)[i0])\n", " keep = \"through o4\" if thru > cross else \"cross o3\"\n", " print(\n", " f\"{eng:10s} {pol}0 @1.55: through {thru:+.2f} · cross {cross:+.2f} dB -> exits {keep}\"\n", " )" ] }, { "cell_type": "markdown", "id": "2f9626a8", "metadata": { "lines_to_next_cell": 2 }, "source": [ "The same physics as **fields**: |E|² with a TE0 excitation (top row) versus a\n", "TM0 excitation (bottom row), from each engine. The TM field hops across the gap\n", "while the TE field stays in its arm, on both engines." ] }, { "cell_type": "code", "execution_count": 5, "id": "b124dec7", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:26.074824Z", "iopub.status.busy": "2026-07-20T01:59:26.074658Z", "iopub.status.idle": "2026-07-20T01:59:26.554129Z", "shell.execute_reply": "2026-07-20T01:59:26.553298Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def _field_panel(ax, npz, title):\n", " d = np.load(npz)\n", " im = ax.pcolormesh(\n", " d[\"x\"], d[\"y\"], (d[\"E2\"] / d[\"E2\"].max()).T, shading=\"nearest\", cmap=\"magma\", vmin=0, vmax=1\n", " )\n", " ax.set_aspect(\"equal\")\n", " ax.set_title(title)\n", " ax.set_xlabel(\"x [µm]\")\n", " ax.set_ylabel(\"y [µm]\")\n", " return im\n", "\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(13, 7.6), constrained_layout=True)\n", "_field_panel(axes[0, 0], REC / \"pbs_coupler_field_TE_in.npz\", \"Lumerical — TE0 in (stays)\")\n", "_field_panel(axes[1, 0], REC / \"pbs_coupler_field_TM_in.npz\", \"Lumerical — TM0 in (crosses)\")\n", "_field_panel(axes[0, 1], REC / \"pbs_coupler_field_TE_in_tidy3d.npz\", \"tidy3d — TE0 in (stays)\")\n", "im = _field_panel(\n", " axes[1, 1], REC / \"pbs_coupler_field_TM_in_tidy3d.npz\", \"tidy3d — TM0 in (crosses)\"\n", ")\n", "fig.colorbar(im, ax=axes, label=\"|E|² (norm)\", shrink=0.8)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8fb859c4", "metadata": {}, "source": [ "## 3 · PSR — gdsfactory's polarization splitter-rotator\n", "\n", "The PBS separates polarizations but both stay what they were. A **PSR** goes\n", "further: TM0 in → **TE0 out**, so downstream circuitry only ever sees TE.\n", "gdsfactory ships a taper + asymmetric-coupler design\n", "(`gf.components.polarization_splitter_rotator`, ~71 µm): the widening taper\n", "adiabatically converts TM0 → TE1, and the narrow coupler arm peels TE1 off as\n", "its TE0.\n", "\n", "**One physics prerequisite:** TM0→TE1 rotation only happens when the\n", "**vertical symmetry is broken** — this is an **air-clad** SOI design. We\n", "simulate it with an air superstrate (`nk: 1.0`); a sidebar below shows what\n", "happens if you bury the same layout in symmetric oxide." ] }, { "cell_type": "code", "execution_count": 6, "id": "1609aad7", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:26.556789Z", "iopub.status.busy": "2026-07-20T01:59:26.556655Z", "iopub.status.idle": "2026-07-20T01:59:26.658125Z", "shell.execute_reply": "2026-07-20T01:59:26.657153Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import copy # noqa: E402\n", "\n", "air_tech = copy.deepcopy(tech.to_solver_dict())\n", "air_tech[\"superstrate\"][0][\"material\"] = {\"nk\": 1.0} # air top-cladding\n", "psr = from_gdsfactory(gf.components.polarization_splitter_rotator(), air_tech)\n", "psr.name = \"psr\"\n", "plot_component(psr, spec=SimulationSpec())\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f8c15dba", "metadata": {}, "source": [ "The recorded multi-mode S-matrices (air-clad) from **both engines**. The two\n", "questions that define a PSR: where does TE0 go (it should pass through on the\n", "bus, untouched), and where does TM0 go (it should exit the other arm —\n", "*as TE0*)?" ] }, { "cell_type": "code", "execution_count": 7, "id": "363422e9", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:26.659563Z", "iopub.status.busy": "2026-07-20T01:59:26.659385Z", "iopub.status.idle": "2026-07-20T01:59:26.668042Z", "shell.execute_reply": "2026-07-20T01:59:26.667595Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "engine in out @1.55 [dB]\n", "lumerical TE0 o2 as TE0 -56.54\n", "lumerical TE0 o2 as TM0 -52.17\n", "lumerical TE0 o3 as TE0 -0.01 <-- main path\n", "lumerical TE0 o3 as TM0 -32.06\n", "lumerical TM0 o2 as TE0 -21.34\n", "lumerical TM0 o2 as TM0 -19.08\n", "lumerical TM0 o3 as TE0 -31.97\n", "lumerical TM0 o3 as TM0 -8.48 <-- main path\n", "tidy3d TE0 o2 as TE0 -50.88\n", "tidy3d TE0 o2 as TM0 -38.88\n", "tidy3d TE0 o3 as TE0 -0.01 <-- main path\n", "tidy3d TE0 o3 as TM0 -50.98\n", "tidy3d TM0 o2 as TE0 -14.72\n", "tidy3d TM0 o2 as TM0 -24.97\n", "tidy3d TM0 o3 as TE0 -51.65\n", "tidy3d TM0 o3 as TM0 -3.14 <-- main path\n" ] } ], "source": [ "psr_sm = {\n", " \"lumerical\": SMatrix.from_npz(str(REC / \"psr_lumerical.npz\")),\n", " \"tidy3d\": SMatrix.from_npz(str(REC / \"psr_tidy3d.npz\")),\n", "}\n", "print(f\"{'engine':10s} {'in':6s} {'out':12s} {'@1.55 [dB]':>12s}\")\n", "for eng, sm2 in psr_sm.items():\n", " i0 = int(np.argmin(np.abs(sm2.wavelength_um - 1.55)))\n", " for pol_in, m_in in ((\"TE0\", 1), (\"TM0\", 2)):\n", " rows = []\n", " for o, m_out, label in (\n", " (2, 1, \"o2 as TE0\"),\n", " (2, 2, \"o2 as TM0\"),\n", " (3, 1, \"o3 as TE0\"),\n", " (3, 2, \"o3 as TM0\"),\n", " ):\n", " v = float(sm2.magnitude_db(out=o, in_=1, mode_out=m_out, mode_in=m_in)[i0])\n", " rows.append((label, v))\n", " best = max(v for _, v in rows)\n", " for label, v in rows:\n", " mark = \" <-- main path\" if v == best else \"\"\n", " print(f\"{eng:10s} {pol_in:6s} {label:12s} {v:>12.2f}{mark}\")" ] }, { "cell_type": "markdown", "id": "ae450a5d", "metadata": {}, "source": [ "**Reading the table.** The TE0 row is clean: both engines agree to a hundredth\n", "of a dB that TE0 passes through on the bus (`o3`, ≈ 0 dB), untouched. The TM0\n", "row shows partial conversion: `o2 as TE0` sits ~6 dB above the symmetric-oxide\n", "sidebar below, but much of the TM power radiates in the taper, and the two\n", "engines, while agreeing qualitatively, differ on the weak converted paths\n", "(hybrid-mode conversion is mesh-sensitive at this resolution). Two points\n", "follow: the *stock* gdsfactory cell needs dimension re-optimization for this\n", "stack before it is a production PSR, and weak multi-mode paths are where a\n", "second engine is worth cross-checking (the `06` lesson, applied to polarization).\n", "\n", "The two excitations as fields, from each engine — TE0 undisturbed on the bus,\n", "TM0 interacting strongly in the taper (partially converting, partially\n", "radiating):" ] }, { "cell_type": "code", "execution_count": 8, "id": "2d11214a", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:26.670015Z", "iopub.status.busy": "2026-07-20T01:59:26.669869Z", "iopub.status.idle": "2026-07-20T01:59:27.293348Z", "shell.execute_reply": "2026-07-20T01:59:27.292744Z" } }, "outputs": [ { "data": { "image/png": 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CBe75khmGob/++kt58+Z1m7zQISYmRnv37lWpUqXc5j/IrWJjY7V3716VLFlSpUuX9pnm4sWL2rlzp4oUKeJ3bo3cJCYmRgcOHFC5cuVUrFgxn2muXLmi7du3K2/evKpRo0aQS5g1bd26VZcvX1aTJk18rrfZbM5fatauXVtmc47s3xWQ//77T3v27FHJkiVVtmzZUBcnSzp48KAOHz6shg0bOof18rRv3z7FxMSoRo0absPy5UY2m027d++WyWRSxYoV/XYaOXLkiE6cOKEqVar4nGcKyCpy5DtE69attXDhQpUtW1bHjh1Tu3bt9O+//+ree+91Szd8+HAtWrRIZrNZNptN8+fP1+jRo0NU6qxpwIABqlevntuyFi1aaMuWLapSpYrOnj2rN998U998801oCphFLFmyRL169dLZs2eVkJCgJ598Urt27XK74S9RooQ2bNigbt266cSJE7rvvvv0999/q2DBgiEseWhVrFhRDzzwgOLi4rRp0ybnw7VHtdls1oIFC/T000/r1KlTatiwobZu3aq6deuGsOSh9++//2rTpk2qUKGC7rjjDmfdWa1WZ5qXX35Zs2fPVnx8vPLly6c///xTffv2DWGpQycsLEyLFy/W6NGjdfLkSTVv3lxbt27lA6aHmJgYbdq0Sbt379YDDzygK1euaNOmTTp+/LgzTZUqVbRlyxa1atVKJ0+e1IgRI7R8+XJFRESEsOShVbNmTQ0ZMsQ5frzjcfDgQWeaPHny6I8//tCDDz6oEydOqF27dtqyZQsNQ5lk5syZ6tSpk5566inn4/nnn3dLYxiGRowYoeuvv14DBgxQuXLl9Pjjj4eoxFnLu+++q5YtW/p8j3jjjTdUunRp9evXT1WqVNG9996b7nHpc4ojR46oV69eqlKlioYOHaoaNWqoVatWOnbsmFu6adOmqWTJkurTp49uuOEGdezYMddOlLl9+3Z17txZVapU0eDBg1WhQgX17NlTFy5ccEv3+++/q2zZsurRo4datGihevXquf36K7f54osvVK9ePbVu3drvL2w2b96sKlWq6NZbb1WnTp1UpUoVbd68OcglzRrGjx+vUqVKqV+/fqpWrZruueceXblyJdTFyjKWL1+uzp07q2HDhmrZsqXb/YlDbGys2rVrp3r16qlPnz4qVaqU269+c5s33nhDZcuWVffu3dWpUyeVL19ec+bMcUtz5coV3XPPPapWrZr69eunUqVKafz48SEqcTZmC9EjFzIZjhnAAAAAgGxo/Pjx+vrrr1OdUPOLL77QyJEjtWrVKtWtW1fr1q1TixYtNHnyZPXp0yd4hc1i1q9frzvvvFNt2rTR+vXrtW3bNue633//Xbfccot+++03tW/fXgcOHFDjxo312GOP6ZlnnglhqUNj1apV+u+//9S5c2dJ9gkxW7ZsqRo1amjWrFmS7F/Q1qlTRxMnTtTAgQMVExOjpk2bqk2bNpo4cWIoix8SP/74oyIjI3XbbbdJko4fP66bbrpJt912mz755BNJ9p6blSpV0oMPPqhx48bpypUr6tChg8LCwrRkyZJQFj9knnrqKd1zzz1avHixxo8f7xzCyiEpKUm1atVSkyZNNG3aNElSnz59tH79eu3YsUMWiyUUxQ6J5cuXq23btvr11191yy236NChQ2rcuLEefvhhvfDCC6EuXpbw0UcfqWLFiipevLiaNm2qHTt2eHWCGDhwoP7++2+tWrVKBQsW1IQJEzRixAjt2LHDbVjD3OK5557To48+6vyl0Ouvv66XXnpJu3bt0vXXXy9JGjt2rCZMmKC///5b5cqV04IFC3T77bdr2bJlatWqVSiLny3ExcWpYMGCOvng3YqODG5HkriEKyrx6WzFxsYqOjo6qHmHUo7sAQwAAIDcxWq1asuWLdq5c6fPHqqTJ09W9+7dnb8gadSokW677TZNnjw52EXNMs6fP6/evXvrs88+8zkcxuTJk3XTTTepffv2kqQKFSrovvvuy7V1dtNNNzkbfyUpKipKDRs21NGjR53Lpk6dqpIlS2rgwIGS7BMDP/zww5o+fbrXHCW5Qffu3Z2Nv5JUqlQpde/e3W0orzlz5ujixYt68sknJUkRERF68skntXTpUh04cCDYRc4SXn/9da9fYbr6448/tHv3bj3//PMymUwymUx67rnntHv3bv3xxx/BK2gWMHnyZDVt2lS33HKLJOn6669Xv379cu11ypfhw4fr9ttv9ztEyOXLlzVr1iyNGDHC+evU+++/X0WKFHF+wZDbvPLKK27viw8++KASEhK0bt0657LJkyc7f1EkSbfddpsaNmzIuZdOjknggv3IjWgABgAAQLa3fft23XPPPerYsaOuu+46rw9gGzduVMOGDd2WNWnSRBs3bgxmMbOUYcOGqVOnTurUqZPP9f7qbO/evTp//nwwipglrV27VkuXLtU777yjn376Sc8++6xznb86u3Tpknbt2hXsomZJ69atU5UqVZzPN27cqKpVq7r1wnKMeZubX5+p2bhxo/Lnz6/q1as7l9WuXVv58uXLdXXm7zV38OBBxcTEhKhU2cuOHTsUHx/vVo9ms1kNGzbMdeeTP2vXrpUk57Xr3LlzOnToEPcVyFZy5CRwAAAAyL4OHz7sc4xCV3Xq1HFOtlKvXj3t3r3b+TPVTz/9VEOGDFGVKlXUqlUrxcfH6/LlyypatKhbjKJFiyomJkaGYchkMl2TfQmW06dP699//001TZUqVVSyZElJ0pdffqnNmze79WbydO7cOZ915lgXFRV1laUOrbi4OG3ZsiXVNOXKlVP58uXdlr322ms6dOiQ/v33X3Xr1s05SaZkr5fatWu7pXets+wuMTFRa9asSTVNsWLF/I6x/9FHH2n16tX6888/nct8nWdFihRxrssJVq1aJZvNf5ezqKgo3XjjjQHH81Vnkv1cyyl1Fqi0rlOFCxcORbGyFcc546sePSdYzY1iYmL04IMPqmvXrrrhhhskpV5nue01eNUMBX9M3lw6EC4NwAAAAMhSli5dmuZ4qW+//baz4a1Dhw5u6x588EF99tln+uabb9SqVSvnzN3x8fFu6S5fvqywsLBs3/gr2XvB/d///V+qacaMGaNu3brp9OnTeuSRR/Tmm286G4CPHj2qS5cuaeXKlc7G9fDwcJ91JilHTPx48OBBPfXUU6mmue+++zRs2DC3ZT/88IMk+9i1Xbp00d13361FixZJUo6vs/Pnz6dZZ23bttXLL7/stXz27NkaNWqUJk2a5OzhK/muM8fznFBnkvT888+nOgRIjRo1NGnSpIDj+aozyX6u5ZQ6C1ROf80FQ2rvkbm9Di9cuKDbb79dBQsW1NSpU53LqTNkRzQAAwAAIEvp16+f+vXrd1UxSpQo4Ryb1WKxqEyZMm5jtUr2Rk/P3p3Z1S233OIcAzMtly9fVr169TRjxgznLO8HDhxQTEyMnnrqKWfjevny5X3WWWRkpK677rpM34dgq1u3rttYtOlVqFAhDR06VAMHDtSVK1cUERGh8uXL68iRI27pHHXomDgoOytSpEiG6uy7775T3759NWHCBPXv399tXfny5Z0N6A45qc4k+4SKmal8+fI6e/as4uPjlSdPHkn213VMTEyOqbNA+btOhYeHO3/xgNQ53gePHj2qmjVrOpcfPXrUbZiR3ObChQu67bbbFB8fr8WLFzvHR5ak0qVLKzw83Oe5l9teg8g+GAMYAAAA2drFixfdnsfExGjdunWqU6eOc1nHjh31888/yzDsv/uz2Wz6+eef1bFjx6CWNSu4/vrrtXLlSrfHPffco4oVK2rlypXOntUdO3bUwoULdeXKFee2c+fOVbt27WSxWEJV/JDxPM8kac+ePSpYsKCzN1jHjh21atUqnTlzxplm7ty5qlmzpsqUKRO0smYl33//ve6991598sknGjRokNf6jh076ujRo9qwYYNz2dy5cxUdHe02vAZStG/fXoZhaP78+c5l8+bNk2EYateuXQhLFnwdO3bUb7/95tbDeu7cuWrTpo3zdYnUVahQQVWqVNFPP/3kXHb8+HH9/fffufI9UrJf7zt37qyLFy9q8eLFzmFpHMLDw9W6dWu3OouPj9fChQtzbZ1llGGE5pEb0QMYAAAA2dqtt96qW2+9VQ0bNlRMTIzGjx+v6OhojRgxwpnmmWeeUaNGjTRo0CDdeeedmjVrlk6ePKknn3wyhCXP2h555BFNmjRJPXv21NChQ/X7779r+fLl+uOPP0JdtJB44oknZDab1aZNG+XLl08rV67U+PHj9cYbbziHEendu7feffdddevWTWPGjNHWrVv1xRdf6Pvvvw9x6UNj4cKF6t27t/r166fq1as7ew+Hh4c7G3dvvvlm3XHHHerdu7defvllnTlzRi+++KLGjRvn7N2a22zfvl0xMTE6cOCAEhMTnfXWsGFD5c2bV+XKldPDDz+sBx98UBcuXJAkPf744xo+fLjKlSsXyqIH3UMPPaSJEyfqzjvv1LBhw7Rs2TItXrxYy5cvD3XRsowjR47owIEDznHiN2zYoDNnzriNC//666/rnnvuUcmSJVWzZk29/vrruvHGG3X33XeHsughYbVa1aVLF/3zzz+aPHmy/vnnH+e6ypUrq1SpUpKkl19+Wa1bt9bjjz+uVq1aacKECSpQoIAeeuihUBUdSJXJMHJr2zcAeDty5IgmTJggSapVq5b69OlzTfOLj4/XK6+8IkkqXry4Hn300WuaHwDkRLGxsfr444+1atUq5c2bV40aNdLw4cOVP39+t3T//POP3n77be3fv1+VK1fWmDFjVK1atRCVOmv5+OOPtWbNGrcxDiX7++Lrr7+uHTt2qHTp0hoxYoQaN24colKGltVq1bRp07RgwQLFxcWpYsWK6t+/v1cv1ZiYGL3xxhtat26dihQpoqFDh+baHmEff/yxZs6c6bW8UKFCmjdvnvN5fHy83n33XS1dulR58+bVPffco969ewezqFn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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 2, figsize=(14, 7.6), constrained_layout=True)\n", "_field_panel(axes[0, 0], REC / \"psr_field_TE_in.npz\", \"Lumerical — TE0 in (passes through)\")\n", "_field_panel(axes[1, 0], REC / \"psr_field_TM_in.npz\", \"Lumerical — TM0 in (partial conversion)\")\n", "_field_panel(axes[0, 1], REC / \"psr_field_TE_in_tidy3d.npz\", \"tidy3d — TE0 in (passes through)\")\n", "im = _field_panel(\n", " axes[1, 1], REC / \"psr_field_TM_in_tidy3d.npz\", \"tidy3d — TM0 in (partial conversion)\"\n", ")\n", "fig.colorbar(im, ax=axes, label=\"|E|² (norm)\", shrink=0.8)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "86a7bdc2", "metadata": {}, "source": [ "### Sidebar: why the cladding matters (a recorded negative result)\n", "\n", "We first ran the *identical layout* buried in **symmetric oxide** cladding.\n", "The result: TM0 passes through **unconverted**:" ] }, { "cell_type": "code", "execution_count": 9, "id": "13c88dcb", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T01:59:27.295300Z", "iopub.status.busy": "2026-07-20T01:59:27.295216Z", "iopub.status.idle": "2026-07-20T01:59:27.302283Z", "shell.execute_reply": "2026-07-20T01:59:27.301994Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "symmetric-oxide cladding @1.55: TE0 through -0.00 dB · TM0 stays TM0 -0.59 dB · converted TE0 only -20.40 dB\n" ] } ], "source": [ "sym = SMatrix.from_npz(str(REC / \"psr_symclad_lumerical.npz\"))\n", "i0 = int(np.argmin(np.abs(sym.wavelength_um - 1.55)))\n", "te_thru = float(sym.magnitude_db(out=3, in_=1, mode_out=1, mode_in=1)[i0])\n", "tm_stay = float(sym.magnitude_db(out=3, in_=1, mode_out=2, mode_in=2)[i0])\n", "tm_conv = float(sym.magnitude_db(out=2, in_=1, mode_out=1, mode_in=2)[i0])\n", "print(\n", " f\"symmetric-oxide cladding @1.55: TE0 through {te_thru:+.2f} dB · \"\n", " f\"TM0 stays TM0 {tm_stay:+.2f} dB · converted TE0 only {tm_conv:+.2f} dB\"\n", ")" ] }, { "cell_type": "markdown", "id": "3875e1aa", "metadata": {}, "source": [ "With oxide above *and* below, the structure has a vertical mirror symmetry;\n", "TM0 and TE1 then belong to opposite symmetry classes and **cannot couple**,\n", "no matter how adiabatic the taper. Breaking that symmetry (air top-cladding)\n", "is what enables the rotation, which the S-matrix shows directly.\n", "\n", "## Recap\n", "\n", "- TE0/TM0 have different confinement (`waveguide_mode` shows it offline), and\n", " that asymmetry powers polarization devices.\n", "- A stock directional coupler at TM's cross-maximum length acts as a **PBS** —\n", " and a mis-chosen length lets TM beat across *and back* (we measured both).\n", "- gdsfactory's **PSR**: the TE path is clean (−0.01 dB, both engines in close\n", " agreement), and TM0→TE0 conversion happens **only** with the vertical\n", " symmetry broken (air-clad); the *stock* dimensions convert only partially in\n", " this stack, and the weak converted paths are where the two engines differ.\n", " Re-optimize the cell for your stack, and cross-validate.\n", " All three recordings (air-clad × 2 engines + the symmetric-oxide negative\n", " control) are committed.\n", "- Polarization work needs a multi-mode engine (tidy3d or Lumerical);\n", " beamz v1 is TE-only. Recorded artifacts + recipe in `recorded/PROVENANCE.md`." ] } ], "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 }