{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b18e854f",
   "metadata": {},
   "source": [
    "# Chromatic Focal Shift\n",
    "\n",
    "The chromatic focal shift is the position of the paraxial focus as a function of wavelength, measured from the focus at the primary wavelength. For each wavelength, a paraxial marginal ray is traced through the system, and its focus is found where it crosses the axis in image space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ebbaebd6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-03T18:10:39.256880Z",
     "iopub.status.busy": "2026-11-03T18:10:39.256880Z",
     "iopub.status.idle": "2026-11-03T18:10:47.559984Z",
     "shell.execute_reply": "2026-11-03T18:10:47.559984Z"
    }
   },
   "outputs": [],
   "source": [
    "from optiland.analysis import ChromaticFocalShift\n",
    "from optiland.samples.simple import CementedAchromat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "76fb01f9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-03T18:10:47.564884Z",
     "iopub.status.busy": "2026-11-03T18:10:47.559984Z",
     "iopub.status.idle": "2026-11-03T18:10:50.169376Z",
     "shell.execute_reply": "2026-11-03T18:10:50.167857Z"
    }
   },
   "outputs": [],
   "source": [
    "lens = CementedAchromat()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7e2971d4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-03T18:10:50.172533Z",
     "iopub.status.busy": "2026-11-03T18:10:50.172533Z",
     "iopub.status.idle": "2026-11-03T18:10:56.130701Z",
     "shell.execute_reply": "2026-11-03T18:10:56.130701Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x400 with 1 Axes>, <Axes: xlabel='Z [mm]', ylabel='Y [mm]'>)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18877319",
   "metadata": {},
   "source": [
    "By default the curve spans the optic's defined wavelengths, here the F, d and C lines. Pass `wavelength_range` (in µm) to plot a different range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "be609ead",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-03T18:10:56.130701Z",
     "iopub.status.busy": "2026-11-03T18:10:56.130701Z",
     "iopub.status.idle": "2026-11-03T18:10:56.629232Z",
     "shell.execute_reply": "2026-11-03T18:10:56.629232Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 800x550 with 1 Axes>,\n",
       " <Axes: title={'center': 'Chromatic Focal Shift\\nMaximum focal shift: 21.7711 µm'}, xlabel='Wavelength (µm)', ylabel='Focal Shift (µm)'>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cfs = ChromaticFocalShift(lens)\n",
    "cfs.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f5f49cb",
   "metadata": {},
   "source": [
    "How to read the plot:\n",
    "\n",
    "- A positive shift means the focus at that wavelength lies farther along the optical axis than the focus at the primary wavelength.\n",
    "- The markers are the optic's defined wavelengths; the curve is zero at the primary wavelength.\n",
    "- The vertical distance between two points of the curve is the axial separation of their foci. Wavelengths at the same height on the curve focus at the same place.\n",
    "- The maximum focal shift, shown in the title, is the full range of the curve: the spread of the foci over the plotted wavelengths.\n",
    "\n",
    "This achromat has a minimum near 0.52 µm: wavelengths on either side of it, at equal heights, are brought to a common focus. The F and C foci are not equal in this design; the C focus is about 19 µm beyond the F focus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "df381315",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-03T18:10:56.632500Z",
     "iopub.status.busy": "2026-11-03T18:10:56.632500Z",
     "iopub.status.idle": "2026-11-03T18:10:56.640162Z",
     "shell.execute_reply": "2026-11-03T18:10:56.639149Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum focal shift: 21.77 µm\n"
     ]
    }
   ],
   "source": [
    "print(f\"Maximum focal shift: {cfs.max_focal_shift() * 1e3:.2f} µm\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "dbf1d6a7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-03T18:10:56.642167Z",
     "iopub.status.busy": "2026-11-03T18:10:56.642167Z",
     "iopub.status.idle": "2026-11-03T18:10:57.426895Z",
     "shell.execute_reply": "2026-11-03T18:10:57.426895Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 800x550 with 1 Axes>,\n",
       " <Axes: title={'center': 'Chromatic Focal Shift\\nMaximum focal shift: 44.5301 µm'}, xlabel='Wavelength (µm)', ylabel='Focal Shift (µm)'>)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cfs = ChromaticFocalShift(lens, wavelength_range=(0.45, 0.75))\n",
    "cfs.view()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.12.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
