{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "183e61a1",
   "metadata": {},
   "source": [
    "# Longitudinal Aberration\n",
    "\n",
    "Longitudinal aberration shows where each zone of the pupil brings an on-axis ray to focus, measured along the axis from the image surface. Plotting it for several wavelengths shows spherical aberration and spherochromatism (the change of spherical aberration with wavelength) at a glance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d5a5bb5d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T21:12:14.415692Z",
     "iopub.status.busy": "2026-11-05T21:12:14.415692Z",
     "iopub.status.idle": "2026-11-05T21:12:22.706214Z",
     "shell.execute_reply": "2026-11-05T21:12:22.705201Z"
    }
   },
   "outputs": [],
   "source": [
    "from optiland.analysis import LongitudinalAberration\n",
    "from optiland.samples.objectives import DoubleGauss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e2a16602",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T21:12:22.709209Z",
     "iopub.status.busy": "2026-11-05T21:12:22.708213Z",
     "iopub.status.idle": "2026-11-05T21:12:22.789089Z",
     "shell.execute_reply": "2026-11-05T21:12:22.787450Z"
    }
   },
   "outputs": [],
   "source": [
    "lens = DoubleGauss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3f5924fb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T21:12:22.791049Z",
     "iopub.status.busy": "2026-11-05T21:12:22.791049Z",
     "iopub.status.idle": "2026-11-05T21:12:23.274959Z",
     "shell.execute_reply": "2026-11-05T21:12:23.273952Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03f203f0",
   "metadata": {},
   "source": [
    "For each wavelength, one on-axis ray is traced through each pupil zone `Py` from near 0 to 1. In the image surface's local frame, its axis crossing measured from the image surface vertex is `Δz = z − y · N / M`, where `(y, z)` is where the ray lands on the image surface and `M, N` are its direction cosines. On a flat image surface `z = 0`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f814dff7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T21:12:23.276957Z",
     "iopub.status.busy": "2026-11-05T21:12:23.276957Z",
     "iopub.status.idle": "2026-11-05T21:12:23.399744Z",
     "shell.execute_reply": "2026-11-05T21:12:23.399744Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "la = LongitudinalAberration(lens)\n",
    "fig, ax = la.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e413dd4e",
   "metadata": {},
   "source": [
    "How to read the plot:\n",
    "\n",
    "- The y-axis is the normalized pupil zone, from the axis (0) to the edge of the pupil (1). The x-axis is the focus position of that zone, in mm from the image surface. For this lens the light travels toward +z, so a positive value means the zone focuses past the image surface.\n",
    "- A vertical line means no spherical aberration: every zone focuses at the same place. Curvature of a line is spherical aberration.\n",
    "- The horizontal gap between wavelengths at the smallest zone (the bottom of each curve) is axial color. A change in the shape of the curves between wavelengths is spherochromatism.\n",
    "\n",
    "Near the axis, the curves meet the paraxial focus. The paraxial focus offset from the image surface is `−y/u` of a paraxial marginal ray:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5ce3f0b0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T21:12:23.402494Z",
     "iopub.status.busy": "2026-11-05T21:12:23.402494Z",
     "iopub.status.idle": "2026-11-05T21:12:23.444076Z",
     "shell.execute_reply": "2026-11-05T21:12:23.444076Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4861 µm: smallest zone -0.05938 mm, paraxial focus -0.05938 mm\n",
      "0.5876 µm: smallest zone +0.00001 mm, paraxial focus +0.00001 mm\n",
      "0.6563 µm: smallest zone +0.08655 mm, paraxial focus +0.08655 mm\n"
     ]
    }
   ],
   "source": [
    "import optiland.backend as be\n",
    "\n",
    "la_fine = LongitudinalAberration(lens, num_points=256)\n",
    "for wp, dz in zip(la_fine.wavelengths, la_fine.data[\"delta_z\"]):\n",
    "    lens.paraxial.trace(0, 1, wp.value)\n",
    "    paraxial = -lens.surfaces.y[-1] / lens.surfaces.u[-1]\n",
    "    print(\n",
    "        f\"{wp.value:.4f} µm: smallest zone {float(dz[0]):+.5f} mm, \"\n",
    "        f\"paraxial focus {float(be.to_numpy(paraxial).ravel()[0]):+.5f} mm\"\n",
    "    )"
   ]
  }
 ],
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