{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "48ffb321",
   "metadata": {},
   "source": [
    "# Lateral Color\n",
    "\n",
    "Lateral color (transverse chromatic aberration) is the change of image height with wavelength. For each field point, the real chief ray is traced at every wavelength, and its height on the image surface is compared with the chief-ray height at the primary wavelength."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d07b1685",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T02:30:14.213345Z",
     "iopub.status.busy": "2026-11-05T02:30:14.213345Z",
     "iopub.status.idle": "2026-11-05T02:30:28.973836Z",
     "shell.execute_reply": "2026-11-05T02:30:28.972294Z"
    }
   },
   "outputs": [],
   "source": [
    "from optiland.analysis import LateralColor\n",
    "from optiland.samples.objectives import DoubleGauss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cdc4125c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T02:30:28.977399Z",
     "iopub.status.busy": "2026-11-05T02:30:28.977399Z",
     "iopub.status.idle": "2026-11-05T02:30:29.263937Z",
     "shell.execute_reply": "2026-11-05T02:30:29.261346Z"
    }
   },
   "outputs": [],
   "source": [
    "lens = DoubleGauss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f621d1a4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T02:30:29.268631Z",
     "iopub.status.busy": "2026-11-05T02:30:29.268081Z",
     "iopub.status.idle": "2026-11-05T02:30:30.529422Z",
     "shell.execute_reply": "2026-11-05T02:30:30.527876Z"
    }
   },
   "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": "71be7bee",
   "metadata": {},
   "source": [
    "By default the analysis uses the optic's defined wavelengths, here the F, d and C lines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "70115175",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T02:30:30.531975Z",
     "iopub.status.busy": "2026-11-05T02:30:30.531975Z",
     "iopub.status.idle": "2026-11-05T02:30:31.044594Z",
     "shell.execute_reply": "2026-11-05T02:30:31.042972Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lc = LateralColor(lens)\n",
    "fig, ax = lc.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a474e600",
   "metadata": {},
   "source": [
    "How to read the plot:\n",
    "\n",
    "- The x-axis is `y(λ) − y(primary)` in µm, the chief-ray height at each wavelength minus the height at the primary wavelength. The image height of this lens is positive, so a positive value means that wavelength lands farther from the axis. For an inverted image the meaning flips.\n",
    "- The y-axis is the field. Every curve starts at zero on axis, and the primary wavelength is the flat zero line.\n",
    "- The horizontal distance between two curves is the lateral color between those wavelengths at that field. It is usually compared with the pixel size or the Airy radius.\n",
    "\n",
    "Near the axis, lateral color grows linearly with field, and its slope matches the first-order lateral color coefficient `TchC`, summed over surfaces. `TchC` uses the shortest minus the longest wavelength, so the comparison below uses the same order."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3939256f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-05T02:30:31.050673Z",
     "iopub.status.busy": "2026-11-05T02:30:31.048599Z",
     "iopub.status.idle": "2026-11-05T02:30:31.175119Z",
     "shell.execute_reply": "2026-11-05T02:30:31.173055Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Real-ray slope near axis: 12.12 µm per unit field\n",
      "Sum of TchC:              12.27 µm\n",
      "Real ray at full field:   3.02 µm\n"
     ]
    }
   ],
   "source": [
    "import optiland.backend as be\n",
    "\n",
    "values = lens.wavelengths.get_wavelengths()\n",
    "short, long = min(values), max(values)\n",
    "lc_fc = LateralColor(lens, wavelengths=[short, long])\n",
    "y_short, y_long = lc_fc.data[\"lateral_color\"]\n",
    "hy = lc_fc.data[\"Hy\"]\n",
    "\n",
    "slope = (y_short[1] - y_long[1]) / hy[1]\n",
    "tchc = be.sum(lens.aberrations.TchC())\n",
    "print(f\"Real-ray slope near axis: {float(slope) * 1e3:.2f} µm per unit field\")\n",
    "print(f\"Sum of TchC:              {float(tchc) * 1e3:.2f} µm\")\n",
    "print(f\"Real ray at full field:   {float(y_short[-1] - y_long[-1]) * 1e3:.2f} µm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29e30f3e",
   "metadata": {},
   "source": [
    "The real-ray value at full field differs from the first-order prediction because of higher-order lateral color, which this analysis includes."
   ]
  }
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