{ "cells": [ { "cell_type": "markdown", "id": "4cc1d56c", "metadata": {}, "source": [ "# Projection Lens (210° FOV)" ] }, { "cell_type": "code", "execution_count": 1, "id": "afc5f4cb", "metadata": { "execution": { "iopub.execute_input": "2026-07-04T17:45:43.448203Z", "iopub.status.busy": "2026-07-04T17:45:43.448027Z", "iopub.status.idle": "2026-07-04T17:45:47.272320Z", "shell.execute_reply": "2026-07-04T17:45:47.271874Z" } }, "outputs": [], "source": [ "from __future__ import annotations\n", "\n", "import optiland.backend as be\n", "from optiland import optic" ] }, { "cell_type": "code", "execution_count": 2, "id": "23bd52f8", "metadata": { "execution": { "iopub.execute_input": "2026-07-04T17:45:47.274444Z", "iopub.status.busy": "2026-07-04T17:45:47.274092Z", "iopub.status.idle": "2026-07-04T17:45:47.280367Z", "shell.execute_reply": "2026-07-04T17:45:47.279941Z" } }, "outputs": [], "source": [ "class ProjectionLens210FOV(optic.Optic):\n", " \"\"\"A 210-degree FOV projection lens.\n", "\n", " Reference: Milton Laikin, Lens Design, 4th ed., CRC Press, 2007, Table 9.5.\n", " \"\"\"\n", "\n", " def __init__(self):\n", " super().__init__()\n", "\n", " # Object surface (infinite distance)\n", " self.surfaces.add(index=0, radius=be.inf, thickness=be.inf)\n", "\n", " # Lens surfaces from Table 9.5\n", " self.surfaces.add(index=1, radius=21.1576, thickness=0.7000, material=\"N-K5\")\n", " self.surfaces.add(index=2, radius=4.4088, thickness=1.6598)\n", " self.surfaces.add(index=3, radius=6.1240, thickness=0.6000, material=\"N-K5\")\n", " self.surfaces.add(index=4, radius=2.6351, thickness=2.8079)\n", " self.surfaces.add(index=5, radius=-4.9887, thickness=0.6898, material=\"N-K5\")\n", " self.surfaces.add(index=6, radius=-2.9312, thickness=0.4000, material=\"SF4\")\n", " self.surfaces.add(index=7, radius=-3.0217, thickness=0.6229, material=\"N-PSK3\")\n", " self.surfaces.add(index=8, radius=2.3857, thickness=0.8744)\n", " self.surfaces.add(index=9, radius=22.0209, thickness=0.7000, material=\"SF4\")\n", " self.surfaces.add(index=10, radius=-8.2506, thickness=0.8566)\n", " self.surfaces.add(\n", " index=11, radius=101.6268, thickness=0.7000, material=\"N-SSK5\"\n", " )\n", " self.surfaces.add(index=12, radius=-12.9224, thickness=0.4212)\n", " self.surfaces.add(index=13, radius=7.5022, thickness=0.5714, material=\"SF4\")\n", " self.surfaces.add(index=14, radius=29.4757, thickness=0.2557)\n", " self.surfaces.add(index=15, radius=7.6940, thickness=0.4131, material=\"SF5\")\n", " self.surfaces.add(index=16, radius=19.1201, thickness=0.5462)\n", "\n", " # Surface 17 is the Stop\n", " self.surfaces.add(index=17, radius=be.inf, thickness=0.1681, is_stop=True)\n", "\n", " self.surfaces.add(index=18, radius=-3.7912, thickness=0.2042, material=\"SF5\")\n", " self.surfaces.add(index=19, radius=4.0170, thickness=0.2330, material=\"N-LAK7\")\n", " self.surfaces.add(index=20, radius=-3.5074, thickness=0.0496)\n", " self.surfaces.add(index=21, radius=9.6933, thickness=0.6446, material=\"N-LAK7\")\n", " self.surfaces.add(index=22, radius=-1.6179, thickness=0.2000, material=\"SF4\")\n", " self.surfaces.add(index=23, radius=-6.4888, thickness=0.0150)\n", " self.surfaces.add(index=24, radius=3.5035, thickness=0.5518, material=\"N-LAK7\")\n", " self.surfaces.add(index=25, radius=-68.3415, thickness=2.2162)\n", "\n", " # Image plane\n", " self.surfaces.add(index=26, radius=be.inf, thickness=0.0)\n", "\n", " # Aperture settings\n", " self.set_aperture(\"imageFNO\", 2.0)\n", "\n", " # Field settings (0, 30, 60, 85, 105 degrees)\n", " self.fields.set_type(\"angle\")\n", " self.fields.add(y=0.0)\n", " self.fields.add(y=30.0)\n", " self.fields.add(y=60.0)\n", " self.fields.add(y=85.0)\n", " self.fields.add(y=105.0)\n", "\n", " # Wavelength settings (F, d, C lines in micrometers)\n", " self.wavelengths.add(value=0.4861) # F line\n", " self.wavelengths.add(value=0.5876, is_primary=True) # d line\n", " self.wavelengths.add(value=0.6563) # C line\n", "\n", " self.ray_tracer.set_aiming(\"robust\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "282695a2", "metadata": { "execution": { "iopub.execute_input": "2026-07-04T17:45:47.281966Z", "iopub.status.busy": "2026-07-04T17:45:47.281739Z", "iopub.status.idle": "2026-07-04T17:45:47.406695Z", "shell.execute_reply": "2026-07-04T17:45:47.406280Z" } }, "outputs": [], "source": [ "lens = ProjectionLens210FOV()" ] }, { "cell_type": "code", "execution_count": 4, "id": "aaec7ec8", "metadata": { "execution": { "iopub.execute_input": "2026-07-04T17:45:47.408353Z", "iopub.status.busy": "2026-07-04T17:45:47.408171Z", "iopub.status.idle": "2026-07-04T17:45:49.528404Z", "shell.execute_reply": "2026-07-04T17:45:49.528031Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = lens.draw()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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 }