{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Field Type: Real Image Height\n", "\n", "This notebook demonstrates the `RealImageHeightField` type, where fields are defined by the intersection height of the real chief ray at the image plane. This differs from the paraxial image height, which uses linear paraxial approximations." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import optiland.backend as be\n", "from optiland.optic import Optic" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class CookeTriplet(Optic):\n", " \"\"\"A Cooke triplet lens design.\"\"\"\n", "\n", " def __init__(self):\n", " super().__init__()\n", "\n", " self.surfaces.add(index=0, radius=be.inf, thickness=be.inf)\n", " self.surfaces.add(index=1, radius=22.01359, thickness=3.25896, material=\"SK16\")\n", " self.surfaces.add(index=2, radius=-435.76044, thickness=6.00755)\n", " self.surfaces.add(index=3, radius=-22.21328, thickness=0.99997, material=(\"F2\", \"schott\"))\n", " self.surfaces.add(index=4, radius=20.29192, thickness=4.75041, is_stop=True)\n", " self.surfaces.add(index=5, radius=79.68360, thickness=2.95208, material=\"SK16\")\n", " self.surfaces.add(index=6, radius=-18.39533, thickness=42.20778)\n", " self.surfaces.add(index=7)\n", "\n", " self.set_aperture(aperture_type=\"EPD\", value=10)\n", "\n", " # Set Field Type to RealImageHeightField\n", " self.fields.set_type(field_type=\"real_image_height\")\n", " \n", " # Add fields at specific real image heights (mm)\n", " self.fields.add(y=0)\n", " self.fields.add(y=12)\n", " self.fields.add(y=18)\n", "\n", " self.wavelengths.add(value=0.48)\n", " self.wavelengths.add(value=0.55, is_primary=True)\n", " self.wavelengths.add(value=0.65)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = CookeTriplet()\n", "_ = lens.draw()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Verifying Real Image Heights...\n", "Max Field: 18.0 mm\n", "\n", "Target Height vs Actual Image Height:\n", "Target: 0.0000 mm, Actual: 0.0000 mm, Error: 0.0000e+00 mm\n", "Target: 12.0000 mm, Actual: 12.0000 mm, Error: 1.2434e-14 mm\n", "Target: 18.0000 mm, Actual: 18.0000 mm, Error: 2.4869e-14 mm\n" ] } ], "source": [ "# Verify Real Image Heights\n", "print(\"Verifying Real Image Heights...\")\n", "max_field = lens.fields.max_field\n", "print(f\"Max Field: {max_field} mm\")\n", "\n", "# Normalized field coordinates for the added fields\n", "Hx = be.array([0, 0, 0])\n", "Hy = be.array([0, 12/max_field, 18/max_field])\n", "\n", "# Trace chief rays (Pupil = 0,0) at primary wavelength\n", "rays = lens.trace_generic(Hx, Hy, Px=0, Py=0, wavelength=0.55)\n", "\n", "print(\"\\nTarget Height vs Actual Image Height:\")\n", "for target, actual in zip(Hy * max_field, rays.y):\n", " print(f\"Target: {target:.4f} mm, Actual: {actual:.4f} mm, Error: {abs(target - actual):.4e} mm\")" ] } ], "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": 2 }