{ "cells": [ { "cell_type": "markdown", "id": "intro", "metadata": {}, "source": [ "# Tutorial 6h: Needle Synthesis for Thin Film Design\n", "\n", "This tutorial demonstrates the **needle synthesis** algorithm for discovering optimal thin film stack configurations, using real dispersive materials from the optiland catalog on **N-BK7** glass.\n", "\n", "Two design examples of increasing complexity:\n", "- **Part 1 — Broadband AR coating**: R < 1% across 420–680 nm, starting from a single MgF2 layer\n", "- **Part 2 — Dichroic beamsplitter**: R > 95% for 420–540 nm, T > 95% for 560–680 nm, starting from a (HL)³ quarter-wave stack\n", "\n", "**Reference**: Tikhonravov & Trubetskov, *Development of the needle optimization technique and new features of OptiLayer design software*, SPIE Vol. 2253, 1994." ] }, { "cell_type": "code", "execution_count": 1, "id": "imports", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:10:03.349353Z", "iopub.status.busy": "2026-03-24T11:10:03.346471Z", "iopub.status.idle": "2026-03-24T11:10:12.818634Z", "shell.execute_reply": "2026-03-24T11:10:12.811393Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optiland.materials import Material, IdealMaterial\n", "from optiland.thin_film import ThinFilmStack, SpectralAnalyzer\n", "from optiland.thin_film.optimization import NeedleSynthesis\n", "from optiland.thin_film.optimization.operand.thin_film import ThinFilmOperand" ] }, { "cell_type": "markdown", "id": "materials-md", "metadata": {}, "source": [ "# Part 1: Broadband AR Coating (R < 1%)\n", "\n", "## 1. Define materials and starting design\n", "\n", "We use **real dispersive materials** from the optiland catalog:\n", "\n", "| Material | Role | n @ 550 nm | Reference |\n", "|----------|------|-----------|-----------|\n", "| N-BK7 | Substrate | 1.519 | Schott |\n", "| SiO2 | Low-index layer | 1.460 | Malitson |\n", "| TiO2 | High-index layer | 2.648 | Devore |\n", "| MgF2 | Very low-index layer | 1.379 | Dodge |\n", "| Al2O3 | Mid-index layer | 1.770 | Malitson |\n", "\n", "We start from a single MgF2 quarter-wave layer — the simplest possible AR coating. A single low-index layer on N-BK7 gives roughly 1.4% reflectance, which already violates our < 1% spec at the band edges." ] }, { "cell_type": "code", "execution_count": 2, "id": "materials", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:10:12.833435Z", "iopub.status.busy": "2026-03-24T11:10:12.832057Z", "iopub.status.idle": "2026-03-24T11:10:13.235635Z", "shell.execute_reply": "2026-03-24T11:10:13.233544Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N-BK7 n(550nm) = 1.5185\n", "SiO2 n(550nm) = 1.4599\n", "TiO2 n(550nm) = 2.6479\n", "MgF2 n(550nm) = 1.3785\n", "Al2O3 n(550nm) = 1.7704\n", "\n", "Starting design:\n", "ThinFilmStack Summary\n", "---------------------\n", "Incident: IdealMaterial\n", "Substrate: N-BK7\n", "Layers:\n", " 1. MgF2 (100.0 nm)\n", "---------------------\n", "Total Thickness: 100.0 nm\n" ] } ], "source": [ "# Incident medium\n", "air = IdealMaterial(n=1.0)\n", "\n", "# Substrate\n", "nbk7 = Material(\"N-BK7\")\n", "\n", "# Candidate coating materials (dispersive)\n", "sio2 = Material(\"SiO2\", reference=\"Malitson\")\n", "tio2 = Material(\"TiO2\", reference=\"Devore-o\")\n", "mgf2 = Material(\"MgF2\", reference=\"Dodge-o\")\n", "al2o3 = Material(\"Al2O3\", reference=\"Malitson\")\n", "\n", "# Print refractive indices at 550 nm\n", "for name, mat in [(\"N-BK7\", nbk7), (\"SiO2\", sio2), (\"TiO2\", tio2),\n", " (\"MgF2\", mgf2), (\"Al2O3\", al2o3)]:\n", " print(f\"{name:6s} n(550nm) = {np.asarray(mat.n(0.55)).item():.4f}\")\n", "\n", "# Starting design: single MgF2 layer\n", "stack = ThinFilmStack(incident_material=air, substrate_material=nbk7)\n", "stack.add_layer_nm(mgf2, 100.0, name=\"MgF2\")\n", "print(\"\\nStarting design:\")\n", "print(stack)" ] }, { "cell_type": "markdown", "id": "initial-spectrum-md", "metadata": {}, "source": [ "## 2. Starting performance\n", "\n", "The single MgF2 layer gives ~1.4% average reflectance. The 1% spec line (dashed red) shows the design fails across most of the band." ] }, { "cell_type": "code", "execution_count": 3, "id": "initial-spectrum", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:10:13.248561Z", "iopub.status.busy": "2026-03-24T11:10:13.247061Z", "iopub.status.idle": "2026-03-24T11:10:14.310609Z", "shell.execute_reply": "2026-03-24T11:10:14.309731Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: No extinction coefficient data found for Dodge-o.yml. Assuming it is 0.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wl_plot = np.linspace(400, 720, 300)\n", "R_start = np.array([ThinFilmOperand.reflectance(stack, wl) for wl in wl_plot])\n", "\n", "fig, ax = plt.subplots(figsize=(9, 5))\n", "ax.plot(wl_plot, R_start * 100, \"-\", color=\"gray\", linewidth=2, label=\"Single MgF2 layer\")\n", "ax.axhline(1.0, color=\"red\", linestyle=\"--\", linewidth=1, alpha=0.7, label=\"Spec: R < 1%\")\n", "ax.axvspan(420, 680, alpha=0.06, color=\"blue\", label=\"Target band (420–680 nm)\")\n", "ax.set_xlabel(\"Wavelength (nm)\")\n", "ax.set_ylabel(\"Reflectance (%)\")\n", "ax.set_title(\"Starting Design — Single MgF2 Layer on N-BK7\")\n", "ax.set_ylim(0, 5)\n", "ax.legend(loc=\"upper right\")\n", "ax.grid(True, alpha=0.3)\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "id": "setup-md", "metadata": {}, "source": [ "## 3. Configure needle synthesis\n", "\n", "The algorithm will:\n", "1. Screen trial needle insertions at sampled positions within every layer\n", "2. Try all four candidate materials at each position\n", "3. Insert the needle that reduces the merit function the most\n", "4. Re-optimize all layer thicknesses after each insertion\n", "5. Repeat until no further improvement is found\n", "\n", "We target **R = 0** at 30 wavelengths across 420–680 nm, driving the optimizer to push reflectance as low as possible everywhere." ] }, { "cell_type": "code", "execution_count": 4, "id": "setup", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:10:14.313471Z", "iopub.status.busy": "2026-03-24T11:10:14.313041Z", "iopub.status.idle": "2026-03-24T11:10:14.319875Z", "shell.execute_reply": "2026-03-24T11:10:14.319245Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ns = NeedleSynthesis(\n", " stack=stack,\n", " candidate_materials=[sio2, tio2, mgf2, al2o3],\n", " needle_thickness_nm=1.0,\n", " min_thickness_nm=2.0,\n", " max_iterations=12,\n", " num_positions_per_layer=8,\n", " optimizer_max_iter=200,\n", ")\n", "\n", "# Dense broadband target: minimize R across 420-680 nm\n", "wavelengths = np.linspace(420, 680, 30).tolist()\n", "ns.add_spectral_target(\"R\", wavelengths, \"equal\", 0.0)" ] }, { "cell_type": "markdown", "id": "run-md", "metadata": {}, "source": [ "## 4. Run needle synthesis\n", "\n", "The verbose output shows each iteration: which material was inserted, the needle thickness, and how the merit function evolves." ] }, { "cell_type": "code", "execution_count": 5, "id": "run", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:10:14.322868Z", "iopub.status.busy": "2026-03-24T11:10:14.322444Z", "iopub.status.idle": "2026-03-24T11:14:30.583884Z", "shell.execute_reply": "2026-03-24T11:14:30.583149Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial merit after refinement: 2.038637e-04\n", "WARNING: No extinction coefficient data found for Malitson.yml. Assuming it is 0.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "WARNING: No extinction coefficient data found for Devore-o.yml. Assuming it is 0.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "WARNING: No extinction coefficient data found for Malitson-o.yml. Assuming it is 0.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0: TiO2 rejected (merit 1.363746e-02 >= 2.038637e-04)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 1: inserted Al2O3 (284.2 nm), layers=2, merit = 8.350077e-05\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 2: TiO2 rejected (merit 6.438911e-03 >= 8.350077e-05)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 3: inserted MgF2 (197.9 nm), layers=4, merit = 6.376946e-05\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 4: TiO2 rejected (merit 1.151474e-02 >= 6.376946e-05)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 5: TiO2 rejected (merit 1.151447e-02 >= 6.376946e-05)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 6: TiO2 rejected (merit 2.426760e-03 >= 6.376946e-05)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 7: inserted Al2O3 (165.4 nm), layers=5, merit = 3.631429e-05\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 8: TiO2 rejected (merit 1.505082e-02 >= 3.631429e-05)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 9: TiO2 rejected (merit 1.505308e-02 >= 3.631429e-05)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 10: TiO2 rejected (merit 1.505155e-02 >= 3.631429e-05)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 11: inserted Al2O3 (168.8 nm), layers=7, merit = 2.104607e-05\n" ] } ], "source": [ "result = ns.run(verbose=True)" ] }, { "cell_type": "markdown", "id": "results-md", "metadata": {}, "source": [ "## 5. Results summary" ] }, { "cell_type": "code", "execution_count": 6, "id": "results", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:14:30.591869Z", "iopub.status.busy": "2026-03-24T11:14:30.589696Z", "iopub.status.idle": "2026-03-24T11:14:30.931225Z", "shell.execute_reply": "2026-03-24T11:14:30.928517Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Success: True\n", "Iterations: 4\n", "Layers added: 4\n", "Initial merit: 2.038637e-04\n", "Final merit: 2.104607e-05\n", "Improvement: 89.7%\n", "\n", "Final stack:\n", "ThinFilmStack Summary\n", "---------------------\n", "Incident: IdealMaterial\n", "Substrate: N-BK7\n", "Layers:\n", " 1. MgF2 (94.6 nm)\n", " 2. Al2O3 (319.7 nm)\n", " 3. MgF2 (17.7 nm)\n", " 4. Al2O3 (196.1 nm)\n", " 5. MgF2 (26.3 nm)\n", " 6. Al2O3 (170.9 nm)\n", " 7. MgF2 (190.4 nm)\n", "---------------------\n", "Total Thickness: 1015.8 nm\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Average R (420-680 nm): 0.388%\n", "Peak R (420-680 nm): 0.990%\n", "R < 1% across full band: True\n" ] } ], "source": [ "print(f\"Success: {result.success}\")\n", "print(f\"Iterations: {result.num_iterations}\")\n", "print(f\"Layers added: {result.num_layers_added}\")\n", "print(f\"Initial merit: {result.initial_merit:.6e}\")\n", "print(f\"Final merit: {result.final_merit:.6e}\")\n", "print(f\"Improvement: {(1 - result.final_merit / result.initial_merit) * 100:.1f}%\")\n", "print(f\"\\nFinal stack:\")\n", "print(result.stack)\n", "\n", "# Check against spec: R < 1% everywhere in 420-680 nm\n", "wl_check = np.linspace(420, 680, 100)\n", "R_vals = np.array([ThinFilmOperand.reflectance(result.stack, wl) for wl in wl_check])\n", "print(f\"\\nAverage R (420-680 nm): {np.mean(R_vals)*100:.3f}%\")\n", "print(f\"Peak R (420-680 nm): {np.max(R_vals)*100:.3f}%\")\n", "print(f\"R < 1% across full band: {np.all(R_vals < 0.01)}\")" ] }, { "cell_type": "markdown", "id": "history-md", "metadata": {}, "source": [ "## 6. Merit function convergence\n", "\n", "Each accepted needle insertion reduces the merit function. The rollback mechanism ensures rejected insertions (those that worsen performance after re-optimization) are never kept." ] }, { "cell_type": "code", "execution_count": 7, "id": "history", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:14:30.936053Z", "iopub.status.busy": "2026-03-24T11:14:30.934197Z", "iopub.status.idle": "2026-03-24T11:14:31.748810Z", "shell.execute_reply": "2026-03-24T11:14:31.745487Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "merits = [result.initial_merit] + [h.merit_after for h in result.history]\n", "materials_used = [h.material_name for h in result.history]\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4))\n", "ax.plot(range(len(merits)), merits, \"o-\", color=\"steelblue\", linewidth=2, markersize=8)\n", "\n", "# Annotate each insertion with material name\n", "for i, (m, name) in enumerate(zip(merits[1:], materials_used), 1):\n", " ax.annotate(name, (i, m), textcoords=\"offset points\",\n", " xytext=(5, 10), fontsize=9, color=\"darkred\")\n", "\n", "ax.set_xlabel(\"Accepted Iteration\")\n", "ax.set_ylabel(\"Merit Function\")\n", "ax.set_title(\"Needle Synthesis Convergence\")\n", "ax.set_yscale(\"log\")\n", "ax.grid(True, alpha=0.3)\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "id": "structure-md", "metadata": {}, "source": [ "## 7. Final stack structure\n", "\n", "The algorithm autonomously selected which materials to use and determined the optimal layer thicknesses." ] }, { "cell_type": "code", "execution_count": 8, "id": "structure", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:14:31.766878Z", "iopub.status.busy": "2026-03-24T11:14:31.764321Z", "iopub.status.idle": "2026-03-24T11:14:32.208080Z", "shell.execute_reply": "2026-03-24T11:14:32.204333Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = result.stack.plot_structure()" ] }, { "cell_type": "markdown", "id": "final-spectrum-md", "metadata": {}, "source": [ "## 8. Before vs. after comparison\n", "\n", "The final design meets the stringent R < 1% spec across the entire 420–680 nm band — something impossible with a single-layer coating on N-BK7." ] }, { "cell_type": "code", "execution_count": 9, "id": "final-spectrum", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:14:32.221787Z", "iopub.status.busy": "2026-03-24T11:14:32.220311Z", "iopub.status.idle": "2026-03-24T11:14:34.035790Z", "shell.execute_reply": "2026-03-24T11:14:34.034649Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Rebuild starting design for comparison\n", "stack_initial = ThinFilmStack(incident_material=air, substrate_material=nbk7)\n", "stack_initial.add_layer_nm(mgf2, 100.0, name=\"MgF2\")\n", "\n", "wl_eval = np.linspace(400, 720, 300)\n", "R_initial = np.array([ThinFilmOperand.reflectance(stack_initial, wl) for wl in wl_eval])\n", "R_final = np.array([ThinFilmOperand.reflectance(result.stack, wl) for wl in wl_eval])\n", "\n", "fig, ax = plt.subplots(figsize=(9, 5))\n", "ax.plot(wl_eval, R_initial * 100, \"--\", color=\"gray\",\n", " linewidth=1.5, label=\"Starting design (1 layer)\")\n", "ax.plot(wl_eval, R_final * 100, \"-\", color=\"steelblue\",\n", " linewidth=2, label=f\"After needle synthesis ({len(result.stack.layers)} layers)\")\n", "ax.axhline(1.0, color=\"red\", linestyle=\"--\", linewidth=1, alpha=0.7, label=\"Spec: R < 1%\")\n", "ax.axvspan(420, 680, alpha=0.06, color=\"blue\")\n", "ax.set_xlabel(\"Wavelength (nm)\")\n", "ax.set_ylabel(\"Reflectance (%)\")\n", "ax.set_title(\"Broadband AR on N-BK7 — Needle Synthesis Result\")\n", "ax.set_ylim(0, 5)\n", "ax.legend()\n", "ax.grid(True, alpha=0.3)\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "id": "gcp4yr79k2s", "metadata": {}, "source": [ "---\n", "\n", "# Part 2: Dichroic Beamsplitter at 550 nm\n", "\n", "A much harder design problem: a **dichroic beamsplitter** that reflects blue/green light (420–540 nm) while transmitting orange/red (560–680 nm) with a sharp transition at 550 nm.\n", "\n", "**Specs:**\n", "- Reflection band (420–540 nm): R > 95%\n", "- Transmission band (560–680 nm): T > 95%\n", "\n", "This requires many more layers than a simple AR coating and forces the algorithm to build a complex interference structure from scratch." ] }, { "cell_type": "markdown", "id": "kooc4txm58", "metadata": {}, "source": [ "## 9. Starting design: (HL)^3 quarter-wave stack\n", "\n", "We start from a simple 6-layer TiO2/SiO2 quarter-wave stack tuned to 500 nm. This gives some initial reflectance in the blue but is far from meeting spec." ] }, { "cell_type": "code", "execution_count": 10, "id": "8nrlew0cx74", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:14:34.039375Z", "iopub.status.busy": "2026-03-24T11:14:34.038902Z", "iopub.status.idle": "2026-03-24T11:14:36.265336Z", "shell.execute_reply": "2026-03-24T11:14:36.263173Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ThinFilmStack Summary\n", "---------------------\n", "Incident: IdealMaterial\n", "Substrate: N-BK7\n", "Layers:\n", " 1. TiO2 (47.0 nm)\n", " 2. SiO2 (86.0 nm)\n", " 3. TiO2 (47.0 nm)\n", " 4. SiO2 (86.0 nm)\n", " 5. TiO2 (47.0 nm)\n", " 6. SiO2 (86.0 nm)\n", "---------------------\n", "Total Thickness: 399.0 nm\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# (HL)^3 quarter-wave stack at 500 nm\n", "# QW optical thickness: n*d = 500/4 = 125 nm\n", "# TiO2 (n~2.65): d = 125/2.65 ~ 47 nm\n", "# SiO2 (n~1.46): d = 125/1.46 ~ 86 nm\n", "stack_d = ThinFilmStack(incident_material=air, substrate_material=nbk7)\n", "for _ in range(3):\n", " stack_d.add_layer_nm(tio2, 47.0, name=\"TiO2\")\n", " stack_d.add_layer_nm(sio2, 86.0, name=\"SiO2\")\n", "print(stack_d)\n", "\n", "# Plot starting performance\n", "wl_plot = np.linspace(400, 720, 300)\n", "R_start_d = np.array([ThinFilmOperand.reflectance(stack_d, wl) for wl in wl_plot])\n", "\n", "fig, ax = plt.subplots(figsize=(9, 5))\n", "ax.plot(wl_plot, R_start_d * 100, \"-\", color=\"gray\", linewidth=2)\n", "ax.axvspan(420, 540, alpha=0.08, color=\"blue\", label=\"Reflect: R > 95%\")\n", "ax.axvspan(560, 680, alpha=0.08, color=\"red\", label=\"Transmit: T > 95%\")\n", "ax.axhline(95, color=\"blue\", linestyle=\"--\", linewidth=1, alpha=0.5)\n", "ax.axhline(5, color=\"red\", linestyle=\"--\", linewidth=1, alpha=0.5)\n", "ax.set_xlabel(\"Wavelength (nm)\")\n", "ax.set_ylabel(\"Reflectance (%)\")\n", "ax.set_title(\"Starting Design — (HL)³ Quarter-Wave Stack on N-BK7\")\n", "ax.set_ylim(0, 100)\n", "ax.legend(loc=\"center right\")\n", "ax.grid(True, alpha=0.3)\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "id": "ayy5308q9p", "metadata": {}, "source": [ "## 10. Run needle synthesis for the dichroic" ] }, { "cell_type": "code", "execution_count": 11, "id": "gwl7kx7lod", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:14:36.270881Z", "iopub.status.busy": "2026-03-24T11:14:36.270313Z", "iopub.status.idle": "2026-03-24T11:27:52.879778Z", "shell.execute_reply": "2026-03-24T11:27:52.878403Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial merit after refinement: 6.230789e-02\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0: inserted MgF2 (217.0 nm), layers=6, merit = 5.605842e-02\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 1: inserted TiO2 (345.1 nm), layers=8, merit = 3.244355e-02\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 2: inserted MgF2 (223.8 nm), layers=10, merit = 6.186665e-03\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 3: TiO2 rejected (merit 6.884094e-03 >= 6.186665e-03)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 4: inserted Al2O3 (172.9 nm), layers=12, merit = 4.869057e-03\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 5: inserted TiO2 (324.8 nm), layers=14, merit = 3.838372e-03\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 6: inserted MgF2 (220.3 nm), layers=16, merit = 1.663441e-03\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 7: inserted TiO2 (358.8 nm), layers=18, merit = 1.258771e-03\n" ] } ], "source": [ "ns_d = NeedleSynthesis(\n", " stack=stack_d,\n", " candidate_materials=[sio2, tio2, mgf2, al2o3],\n", " needle_thickness_nm=1.0,\n", " min_thickness_nm=2.0,\n", " max_iterations=8,\n", " num_positions_per_layer=3,\n", " optimizer_max_iter=80,\n", ")\n", "\n", "# Reflection band: R → 1 for 420-540 nm\n", "wl_reflect = np.linspace(420, 540, 10).tolist()\n", "ns_d.add_spectral_target(\"R\", wl_reflect, \"equal\", 1.0)\n", "\n", "# Transmission band: R → 0 for 560-680 nm\n", "wl_transmit = np.linspace(560, 680, 10).tolist()\n", "ns_d.add_spectral_target(\"R\", wl_transmit, \"equal\", 0.0)\n", "\n", "result_d = ns_d.run(verbose=True)" ] }, { "cell_type": "markdown", "id": "40apbhw2s8q", "metadata": {}, "source": [ "## 11. Dichroic results" ] }, { "cell_type": "code", "execution_count": 12, "id": "d6kmm9ktzra", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:27:52.886042Z", "iopub.status.busy": "2026-03-24T11:27:52.885349Z", "iopub.status.idle": "2026-03-24T11:27:53.930352Z", "shell.execute_reply": "2026-03-24T11:27:53.929198Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Success: True\n", "Layers added: 7\n", "Initial merit: 6.230789e-02\n", "Final merit: 1.258771e-03\n", "Improvement: 98.0%\n", "\n", "Final stack (18 layers):\n", "ThinFilmStack Summary\n", "---------------------\n", "Incident: IdealMaterial\n", "Substrate: N-BK7\n", "Layers:\n", " 1. TiO2 (26.6 nm)\n", " 2. SiO2 (69.2 nm)\n", " 3. TiO2 (42.3 nm)\n", " 4. SiO2 (77.4 nm)\n", " 5. TiO2 (37.7 nm)\n", " 6. MgF2 (80.1 nm)\n", " 7. TiO2 (131.0 nm)\n", " 8. MgF2 (154.0 nm)\n", " 9. TiO2 (133.6 nm)\n", " 10. MgF2 (269.0 nm)\n", " 11. TiO2 (140.4 nm)\n", " 12. MgF2 (207.3 nm)\n", " 13. TiO2 (114.3 nm)\n", " 14. MgF2 (77.5 nm)\n", " 15. Al2O3 (119.8 nm)\n", " 16. TiO2 (369.2 nm)\n", " 17. Al2O3 (73.7 nm)\n", " 18. MgF2 (110.0 nm)\n", "---------------------\n", "Total Thickness: 2233.2 nm\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Reflection band (420-540 nm):\n", " Average R: 96.7%\n", " Min R: 53.3%\n", "\n", "Transmission band (560-680 nm):\n", " Average T: 98.5%\n", " Min T: 95.9%\n" ] } ], "source": [ "print(f\"Success: {result_d.success}\")\n", "print(f\"Layers added: {result_d.num_layers_added}\")\n", "print(f\"Initial merit: {result_d.initial_merit:.6e}\")\n", "print(f\"Final merit: {result_d.final_merit:.6e}\")\n", "print(f\"Improvement: {(1 - result_d.final_merit / result_d.initial_merit) * 100:.1f}%\")\n", "print(f\"\\nFinal stack ({len(result_d.stack.layers)} layers):\")\n", "print(result_d.stack)\n", "\n", "# Check against specs\n", "wl_r = np.linspace(420, 540, 50)\n", "wl_t = np.linspace(560, 680, 50)\n", "R_reflect = np.array([ThinFilmOperand.reflectance(result_d.stack, wl) for wl in wl_r])\n", "R_transmit = np.array([ThinFilmOperand.reflectance(result_d.stack, wl) for wl in wl_t])\n", "print(f\"\\nReflection band (420-540 nm):\")\n", "print(f\" Average R: {np.mean(R_reflect)*100:.1f}%\")\n", "print(f\" Min R: {np.min(R_reflect)*100:.1f}%\")\n", "print(f\"\\nTransmission band (560-680 nm):\")\n", "print(f\" Average T: {(1-np.mean(R_transmit))*100:.1f}%\")\n", "print(f\" Min T: {(1-np.max(R_transmit))*100:.1f}%\")" ] }, { "cell_type": "markdown", "id": "088drl4auc5v", "metadata": {}, "source": [ "## 12. Dichroic convergence" ] }, { "cell_type": "code", "execution_count": 13, "id": "9kts5nsznfv", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:27:53.934043Z", "iopub.status.busy": "2026-03-24T11:27:53.933643Z", "iopub.status.idle": "2026-03-24T11:27:54.375178Z", "shell.execute_reply": "2026-03-24T11:27:54.371588Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "merits_d = [result_d.initial_merit] + [h.merit_after for h in result_d.history]\n", "materials_d = [h.material_name for h in result_d.history]\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4))\n", "ax.plot(range(len(merits_d)), merits_d, \"o-\", color=\"steelblue\", linewidth=2, markersize=8)\n", "\n", "for i, (m, name) in enumerate(zip(merits_d[1:], materials_d), 1):\n", " ax.annotate(name, (i, m), textcoords=\"offset points\",\n", " xytext=(5, 10), fontsize=8, color=\"darkred\", rotation=30)\n", "\n", "ax.set_xlabel(\"Accepted Iteration\")\n", "ax.set_ylabel(\"Merit Function\")\n", "ax.set_title(\"Dichroic Beamsplitter — Needle Synthesis Convergence\")\n", "ax.set_yscale(\"log\")\n", "ax.grid(True, alpha=0.3)\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "id": "9emjp2y4cdn", "metadata": {}, "source": [ "## 13. Stack structure" ] }, { "cell_type": "code", "execution_count": 14, "id": "uucaiucvlul", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:27:54.380318Z", "iopub.status.busy": "2026-03-24T11:27:54.379280Z", "iopub.status.idle": "2026-03-24T11:27:54.646039Z", "shell.execute_reply": "2026-03-24T11:27:54.643018Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = result_d.stack.plot_structure()" ] }, { "cell_type": "markdown", "id": "bpassusz3hm", "metadata": {}, "source": [ "## 14. Dichroic spectral performance\n", "\n", "The final comparison shows the starting (HL)³ stack vs. the optimized dichroic. The algorithm built a sharp transition edge at 550 nm using all four candidate materials." ] }, { "cell_type": "code", "execution_count": 15, "id": "q372ocv2l6l", "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:27:54.652156Z", "iopub.status.busy": "2026-03-24T11:27:54.651830Z", "iopub.status.idle": "2026-03-24T11:28:00.057560Z", "shell.execute_reply": "2026-03-24T11:28:00.055798Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Rebuild starting design for comparison\n", "stack_d_initial = ThinFilmStack(incident_material=air, substrate_material=nbk7)\n", "for _ in range(3):\n", " stack_d_initial.add_layer_nm(tio2, 47.0, name=\"TiO2\")\n", " stack_d_initial.add_layer_nm(sio2, 86.0, name=\"SiO2\")\n", "\n", "wl_eval = np.linspace(390, 730, 400)\n", "R_d_initial = np.array([ThinFilmOperand.reflectance(stack_d_initial, wl) for wl in wl_eval])\n", "R_d_final = np.array([ThinFilmOperand.reflectance(result_d.stack, wl) for wl in wl_eval])\n", "\n", "fig, ax = plt.subplots(figsize=(9, 5))\n", "ax.plot(wl_eval, R_d_initial * 100, \"--\", color=\"gray\",\n", " linewidth=1.5, label=\"Starting design (6 layers)\")\n", "ax.plot(wl_eval, R_d_final * 100, \"-\", color=\"steelblue\",\n", " linewidth=2, label=f\"After needle synthesis ({len(result_d.stack.layers)} layers)\")\n", "ax.axvspan(420, 540, alpha=0.06, color=\"blue\")\n", "ax.axvspan(560, 680, alpha=0.06, color=\"red\")\n", "ax.axhline(95, color=\"blue\", linestyle=\":\", linewidth=1, alpha=0.5, label=\"R > 95% spec\")\n", "ax.axhline(5, color=\"red\", linestyle=\":\", linewidth=1, alpha=0.5, label=\"R < 5% spec\")\n", "ax.set_xlabel(\"Wavelength (nm)\")\n", "ax.set_ylabel(\"Reflectance (%)\")\n", "ax.set_title(\"Dichroic Beamsplitter on N-BK7 — Needle Synthesis Result\")\n", "ax.set_ylim(0, 100)\n", "ax.legend(loc=\"center right\")\n", "ax.grid(True, alpha=0.3)\n", "fig.tight_layout();" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }