{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "865cbff7",
   "metadata": {},
   "source": [
    "# Coloring Lens Elements by Glass Property\n",
    "\n",
    "By default every lens element in a layout is drawn the same color, so the glass choices behind a design are invisible. A `PropertyColorizer` maps a scalar property of each element to a color. Optiland provides two value functions for glass properties:\n",
    "\n",
    "- `abbe_number`: the Abbe number $V_d$, computed from the indices at the d, F and C lines.\n",
    "- `refractive_index(wavelength)`: the index at a given wavelength (the primary wavelength if omitted).\n",
    "\n",
    "Elements without a value, such as mirrors or materials without dispersion data, keep the default color."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f41b3fca",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-04T20:45:28.831556Z",
     "iopub.status.busy": "2026-11-04T20:45:28.831556Z",
     "iopub.status.idle": "2026-11-04T20:45:44.271594Z",
     "shell.execute_reply": "2026-11-04T20:45:44.269993Z"
    }
   },
   "outputs": [],
   "source": [
    "from optiland.samples.objectives import CookeTriplet\n",
    "from optiland.samples.simple import CementedAchromat\n",
    "from optiland.visualization.coloring import (\n",
    "    ColorScale,\n",
    "    ComponentRef,\n",
    "    PropertyColorizer,\n",
    "    abbe_number,\n",
    "    refractive_index,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71a2c03f",
   "metadata": {},
   "source": [
    "## Abbe number of a cemented achromat\n",
    "\n",
    "An achromat pairs a low-dispersion crown (high $V_d$) with a high-dispersion flint (low $V_d$). Coloring by Abbe number makes the pairing visible at a glance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4c2db318",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-04T20:45:44.275792Z",
     "iopub.status.busy": "2026-11-04T20:45:44.274793Z",
     "iopub.status.idle": "2026-11-04T20:45:45.690211Z",
     "shell.execute_reply": "2026-11-04T20:45:45.689189Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "achromat = CementedAchromat()\n",
    "fig, ax = achromat.draw(\n",
    "    component_colorizer=PropertyColorizer(\n",
    "        abbe_number, ColorScale(cmap=\"coolwarm_r\", label=\"Abbe number\")\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "417dd191",
   "metadata": {},
   "source": [
    "The value functions can also be called directly, which is a quick way to check the numbers behind the colors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6fb2503c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-04T20:45:45.693892Z",
     "iopub.status.busy": "2026-11-04T20:45:45.693892Z",
     "iopub.status.idle": "2026-11-04T20:45:45.705544Z",
     "shell.execute_reply": "2026-11-04T20:45:45.703053Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N-BAK1  n_d = 1.57250   V_d = 57.55\n",
      "SF2     n_d = 1.64769   V_d = 33.85\n"
     ]
    }
   ],
   "source": [
    "n_d = refractive_index(0.5876)\n",
    "for ref in (ComponentRef(\"lens_element\", (1, 2)), ComponentRef(\"lens_element\", (2, 3))):\n",
    "    glass = achromat.surfaces[ref.surface_indices[0]].material_post\n",
    "    print(\n",
    "        f\"{glass.display_name:7s} n_d = {n_d(achromat, ref):.5f}   \"\n",
    "        f\"V_d = {abbe_number(achromat, ref):.2f}\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0926708",
   "metadata": {},
   "source": [
    "## Abbe number of a Cooke triplet\n",
    "\n",
    "The Cooke triplet places a flint negative element between two crown positive elements. Its glasses have almost the same index, so the crown-flint-crown structure only shows up in the dispersion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "440e25e0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-04T20:45:45.708762Z",
     "iopub.status.busy": "2026-11-04T20:45:45.708762Z",
     "iopub.status.idle": "2026-11-04T20:45:46.366090Z",
     "shell.execute_reply": "2026-11-04T20:45:46.364564Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "triplet = CookeTriplet()\n",
    "fig, ax = triplet.draw(\n",
    "    component_colorizer=PropertyColorizer(\n",
    "        abbe_number, ColorScale(cmap=\"coolwarm_r\", label=\"Abbe number\")\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42fc57a1",
   "metadata": {},
   "source": [
    "## Refractive index\n",
    "\n",
    "`refractive_index` takes a wavelength in microns. Without one it uses the optic's primary wavelength, which is the d line for this achromat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "368fcf1e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-04T20:45:46.368093Z",
     "iopub.status.busy": "2026-11-04T20:45:46.368093Z",
     "iopub.status.idle": "2026-11-04T20:45:47.054263Z",
     "shell.execute_reply": "2026-11-04T20:45:47.052246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = achromat.draw(\n",
    "    component_colorizer=PropertyColorizer(\n",
    "        refractive_index(), ColorScale(label=\"$n_d$\")\n",
    "    )\n",
    ")"
   ]
  }
 ],
 "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": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
