{ "cells": [ { "cell_type": "markdown", "id": "094b6c26", "metadata": {}, "source": [ "# Subject-Specific Eye Model Example\n", "\n", "This notebook shows how to build and analyze a sequential schematic eye in Optiland from measured geometric data.\n", "\n", "The example uses subject-specific biometric inputs such as axial length, corneal thickness, chamber depth, lens thickness, surface curvature, and asphericity. From these values, the notebook constructs the ocular surface stack, visualizes the model, and evaluates the on-axis aberration state.\n", "\n", "The workflow covers:\n", "- defining refractive indices for the ocular media\n", "- converting biometric measurements into a sequential surface model\n", "- visualizing the eye in a 2D meridional section\n", "- computing central-field Zernike coefficients\n", "- converting defocus and astigmatism terms into sphere, cylinder, and axis in diopters\n", "\n", "The cells are organized in the same order as a typical optics workflow: define inputs, build the model, inspect the geometry, then evaluate its aberrations." ] }, { "cell_type": "code", "execution_count": 1, "id": "1a1eecf2", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from optiland import optic\n", "from optiland.materials import IdealMaterial\n", "from optiland.wavefront import ZernikeOPD" ] }, { "cell_type": "code", "execution_count": 2, "id": "36a38702", "metadata": {}, "outputs": [], "source": [ "# Navarro wide-angle eye refractive indices (Escudero-Sanz and Navarro, 1999) at 543 nm\n", "materials = {\n", " \"cornea\": IdealMaterial(1.3777),\n", " \"aqueous_humor\": IdealMaterial(1.3391),\n", " \"lens\": IdealMaterial(1.4222),\n", " \"vitreous_humor\": IdealMaterial(1.3377),\n", "}\n", "\n", "# Clinical data of a slightly myopic eye (with a -2.5D glasses prescription)\n", "geometry = {\n", " \"axial_length\": 24.305, # mm\n", " \"cornea_thickness\": 0.5615, # mm\n", " \"anterior_chamber_depth\": 3.345, # mm\n", " \"lens_thickness\": 3.17, # mm\n", " \"cornea_front_curvature\": 7.6967, # mm\n", " \"cornea_front_asphericity\": -0.2304,\n", " \"cornea_back_curvature\": 6.2343, # mm\n", " \"cornea_back_asphericity\": -0.1444,\n", " \"lens_front_curvature\": 10.2, # mm\n", " \"lens_front_asphericity\": -3.1316,\n", " \"lens_back_curvature\": -5.4537, # mm\n", " \"lens_back_asphericity\": -4.1655,\n", " \"retina_curvature\": -11.3357, # mm\n", " \"retina_asphericity\": -0.0631,\n", "}\n", "\n", "PUPIL_DIAMETER_MM = 3.0\n", "WAVELENGTH_UM = 0.543" ] }, { "cell_type": "markdown", "id": "a8fb52e8", "metadata": {}, "source": [ "## Define Optical Media And Subject Geometry\n", "\n", "This section defines the refractive indices used for the ocular media and the measured geometry of the subject eye. The geometric inputs are then used to derive the vitreous depth and construct the sequential model in the next cell." ] }, { "cell_type": "code", "execution_count": 3, "id": "b5aa843b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "╒════╤═══════════════╤══════════════════╤══════════╤═════════════╤════════════╤═════════╤═════════════════╕\n", "│ │ Type │ Comment │ Radius │ Thickness │ Material │ Conic │ Semi-aperture │\n", "╞════╪═══════════════╪══════════════════╪══════════╪═════════════╪════════════╪═════════╪═════════════════╡\n", "│ 0 │ Planar │ │ inf │ inf │ Air │ 0 │ 5.05609 │\n", "│ 1 │ Standard │ Cornea anterior │ 7.6967 │ 0.5615 │ 1.3777 │ -0.2304 │ 5.05609 │\n", "│ 2 │ Standard │ Cornea posterior │ 6.2343 │ 3.345 │ 1.3391 │ -0.1444 │ 4.5474 │\n", "│ 3 │ Stop - Planar │ Pupil stop │ inf │ 0 │ 1.3391 │ 0 │ 1.5 │\n", "│ 4 │ Standard │ Lens anterior │ 10.2 │ 3.17 │ 1.4222 │ -3.1316 │ 1.5 │\n", "│ 5 │ Standard │ Lens posterior │ -5.4537 │ 17.2285 │ 1.3377 │ -4.1655 │ 3.86242 │\n", "│ 6 │ Standard │ Retina │ -11.3357 │ nan │ 1.3377 │ -0.0631 │ 16.8672 │\n", "╘════╧═══════════════╧══════════════════╧══════════╧═════════════╧════════════╧═════════╧═════════════════╛\n", "\n" ] } ], "source": [ "# Derive the vitreous chamber depth from the measured axial length\n", "vitreous_depth = (\n", " geometry[\"axial_length\"]\n", " - geometry[\"cornea_thickness\"]\n", " - geometry[\"anterior_chamber_depth\"]\n", " - geometry[\"lens_thickness\"]\n", ")\n", "\n", "# Build the subject-specific sequential eye model\n", "eye = optic.Optic()\n", "eye.surfaces.add(index=0, radius=np.inf, thickness=np.inf)\n", "\n", "subject_surfaces = [\n", " (\n", " \"Cornea anterior\",\n", " geometry[\"cornea_front_curvature\"],\n", " geometry[\"cornea_thickness\"],\n", " geometry[\"cornea_front_asphericity\"],\n", " materials[\"cornea\"],\n", " ),\n", " (\n", " \"Cornea posterior\",\n", " geometry[\"cornea_back_curvature\"],\n", " geometry[\"anterior_chamber_depth\"],\n", " geometry[\"cornea_back_asphericity\"],\n", " materials[\"aqueous_humor\"],\n", " ),\n", " (\"Pupil stop\", np.inf, 0.0, None, materials[\"aqueous_humor\"]),\n", " (\n", " \"Lens anterior\",\n", " geometry[\"lens_front_curvature\"],\n", " geometry[\"lens_thickness\"],\n", " geometry[\"lens_front_asphericity\"],\n", " materials[\"lens\"],\n", " ),\n", " (\n", " \"Lens posterior\",\n", " geometry[\"lens_back_curvature\"],\n", " vitreous_depth,\n", " geometry[\"lens_back_asphericity\"],\n", " materials[\"vitreous_humor\"],\n", " ),\n", " (\n", " \"Retina\",\n", " geometry[\"retina_curvature\"],\n", " 0.0,\n", " geometry[\"retina_asphericity\"],\n", " materials[\"vitreous_humor\"],\n", " ),\n", "]\n", "\n", "for i, (label, radius, thickness, conic, material) in enumerate(subject_surfaces, start=1):\n", " eye.surfaces.add(index=i, comment=label, thickness=thickness, radius=radius, conic=conic, material=material, is_stop=label == \"Pupil stop\")\n", "\n", "# Use a fixed analysis pupil for ray tracing and aberration evaluation\n", "eye.set_aperture(\n", " aperture_type=\"float_by_stop_size\",\n", " value=PUPIL_DIAMETER_MM,\n", ")\n", "\n", "eye.fields.set_type(field_type=\"angle\")\n", "for angle_deg in [0, 15, 30, 45]:\n", " eye.fields.add(angle_deg)\n", "\n", "eye.wavelengths.add(WAVELENGTH_UM)\n", "\n", "eye.info()" ] }, { "cell_type": "code", "execution_count": 4, "id": "e4013121", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the subject-specific eye in a 2D YZ meridional view\n", "fig, ax = eye.draw(\n", " fields=\"all\",\n", " wavelengths=\"primary\",\n", " num_rays=7,\n", " projection=\"YZ\",\n", " title=f\"Subject-specific eye ({WAVELENGTH_UM} nm)\",\n", ")" ] }, { "cell_type": "markdown", "id": "795eab9e", "metadata": {}, "source": [ "## Compute On-Axis Zernike Power\n", "\n", "The next cell evaluates the central field using a Noll-indexed Zernike expansion. It then extracts the defocus and astigmatism terms and converts them into clinical dioptric quantities: sphere, cylinder, and axis." ] }, { "cell_type": "code", "execution_count": 5, "id": "34fc65ba", "metadata": {}, "outputs": [], "source": [ "# Build a Noll-indexed Zernike expansion for the central (on-axis) field\n", "zernike_opd = ZernikeOPD(\n", " eye,\n", " field=(0.0, 0.0),\n", " wavelength=WAVELENGTH_UM,\n", " num_rings=64,\n", " num_terms=15,\n", " zernike_type=\"noll\",\n", ")\n", "\n", "# Noll indices used in the clinical power conversion below\n", "NOLL_DEFOCUS_INDEX = 4\n", "NOLL_ASTIGMATISM_OBLIQUE_INDEX = 5\n", "NOLL_ASTIGMATISM_VERTICAL_INDEX = 6\n", "\n", "def calculate_spherocylindrical_coefficients(zernike_coefficients):\n", " \"\"\"Return the Noll defocus and astigmatism coefficients.\"\"\"\n", " defocus_coefficient = zernike_coefficients[NOLL_DEFOCUS_INDEX - 1]\n", " astigmatism_coefficients = [\n", " zernike_coefficients[NOLL_ASTIGMATISM_OBLIQUE_INDEX - 1],\n", " zernike_coefficients[NOLL_ASTIGMATISM_VERTICAL_INDEX - 1],\n", " ]\n", " return defocus_coefficient, astigmatism_coefficients\n", "\n", "def zernike_to_diopters(\n", " zernike_coefficients,\n", " pupil_diameter_mm=PUPIL_DIAMETER_MM,\n", " wavelength_um=WAVELENGTH_UM,\n", " coefficient_unit=\"waves\",\n", "):\n", " \"\"\"Convert Noll defocus and astigmatism terms to clinical power values.\"\"\"\n", " z4 = zernike_coefficients[NOLL_DEFOCUS_INDEX - 1]\n", " z5 = zernike_coefficients[NOLL_ASTIGMATISM_OBLIQUE_INDEX - 1]\n", " z6 = zernike_coefficients[NOLL_ASTIGMATISM_VERTICAL_INDEX - 1]\n", "\n", " if coefficient_unit == \"waves\":\n", " coefficient_scale_m = wavelength_um * 1e-6\n", " elif coefficient_unit == \"microns\":\n", " coefficient_scale_m = 1e-6\n", " else:\n", " raise ValueError(\"coefficient_unit must be 'waves' or 'microns'.\")\n", "\n", " z4_m = z4 * coefficient_scale_m\n", " z5_m = z5 * coefficient_scale_m\n", " z6_m = z6 * coefficient_scale_m\n", "\n", " pupil_radius_m = 0.5 * pupil_diameter_mm * 1e-3\n", "\n", " # Power-vector conversion for normalized Noll Zernike polynomials\n", " M = -(4.0 * np.sqrt(3.0) * z4_m) / (pupil_radius_m**2)\n", " J45 = -(2.0 * np.sqrt(6.0) * z5_m) / (pupil_radius_m**2)\n", " J0 = -(2.0 * np.sqrt(6.0) * z6_m) / (pupil_radius_m**2)\n", "\n", " cylinder = -2.0 * np.sqrt(J0**2 + J45**2)\n", " axis_deg = (0.5 * np.degrees(np.arctan2(J45, J0))) % 180.0\n", " sphere = M - cylinder / 2.0\n", "\n", " return {\n", " \"M\": M,\n", " \"J0\": J0,\n", " \"J45\": J45,\n", " \"sphere\": sphere,\n", " \"cylinder\": cylinder,\n", " \"axis_deg\": axis_deg,\n", " }" ] }, { "cell_type": "markdown", "id": "259c4943", "metadata": {}, "source": [ "## Report The Clinical Power Terms\n", "\n", "This cell uses the helper functions from the previous step to extract the defocus and astigmatism coefficients and summarize them as sphere, cylinder, and axis." ] }, { "cell_type": "code", "execution_count": 6, "id": "a0bf912c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Defocus coefficient (Z4): 1.60 waves\n", "Astigmatism coefficients (Z5, Z6): -0.00, 0.00 waves\n", "\n", "Converted to diopters:\n", "Sphere: -2.50 D\n", "Cylinder: -0.00 D\n", "Axis: 89.4 deg\n" ] } ], "source": [ "# Reuse the helper functions to summarize the central-field refractive state\n", "defocus_coefficient, astigmatism_coefficients = calculate_spherocylindrical_coefficients(\n", " zernike_opd.coeffs\n", ")\n", "\n", "power = zernike_to_diopters(\n", " zernike_opd.coeffs,\n", " pupil_diameter_mm=eye.paraxial.XPD(),\n", " wavelength_um=WAVELENGTH_UM,\n", " coefficient_unit=\"waves\",\n", ")\n", "\n", "print(f\"Defocus coefficient (Z{NOLL_DEFOCUS_INDEX}): {defocus_coefficient:.2f} waves\")\n", "print(\n", " \"Astigmatism coefficients \"\n", " f\"(Z{NOLL_ASTIGMATISM_OBLIQUE_INDEX}, Z{NOLL_ASTIGMATISM_VERTICAL_INDEX}): \"\n", " f\"{astigmatism_coefficients[0]:.2f}, {astigmatism_coefficients[1]:.2f} waves\"\n", ")\n", "print(\"\\nConverted to diopters:\")\n", "print(f\"Sphere: {power['sphere']:.2f} D\")\n", "print(f\"Cylinder: {power['cylinder']:.2f} D\")\n", "print(f\"Axis: {power['axis_deg']:.1f} deg\")" ] }, { "cell_type": "markdown", "id": "0dfec86d", "metadata": {}, "source": [ "## Further Reading\n", "\n", "For more elaborate eye modeling and vision-science simulations, consider exploring [visisipy](https://github.com/MREYE-LUMC/visisipy), an open-source Python package for vision simulations of the eye.\n", "\n", "Visisipy provides a higher-level interface for defining eye models and running clinically relevant analyses, and it can use Optiland as an open-source backend for model building and simulation." ] }, { "cell_type": "markdown", "id": "2eebb409", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "python313", "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": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }