{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5dc9e521",
   "metadata": {},
   "source": [
    "# Seidel Diagram\n",
    "\n",
    "The Seidel diagram shows how much of each third-order aberration every surface contributes. `optic.aberrations.seidels()` gives the five Seidel sums for the whole system; the diagram splits them into the contribution of each surface, so you can see which surfaces create an aberration and which ones cancel it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9fdb166e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.analysis import SeidelDiagram\n",
    "from optiland.samples.objectives import CookeTriplet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0cdf69c2",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = CookeTriplet()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "182a5640",
   "metadata": {},
   "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": "code",
   "execution_count": 4,
   "id": "8b891967",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x500 with 1 Axes>,\n",
       " <Axes: title={'center': 'Seidel Diagram'}, xlabel='Surface', ylabel='Seidel Coefficient (mm)'>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "seidel = SeidelDiagram(lens)\n",
    "seidel.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f001171",
   "metadata": {},
   "source": [
    "How to read the plot:\n",
    "\n",
    "- Each group of bars is one surface, labelled with its surface index. The object and image surfaces contribute nothing and are not shown.\n",
    "- Each color is one Seidel coefficient: SI spherical aberration, SII coma, SIII astigmatism, SIV Petzval field curvature and SV distortion. The coefficients are wavefront Seidel sums in lens units, evaluated at the primary wavelength.\n",
    "- The last group, `Sum`, is the total over all surfaces. It equals `lens.aberrations.seidels()`.\n",
    "- Bars of opposite sign on different surfaces cancel. Large contributions that cancel in the sum point to surfaces that are sensitive to manufacturing and alignment errors.\n",
    "\n",
    "In this triplet, the negative middle lens (surfaces 3 and 4) adds positive Petzval terms that offset the negative ones of the two outer lenses, which flattens the field. Single surfaces contribute up to 0.35 mm of distortion, yet the sum is close to zero."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfc8c9e7",
   "metadata": {},
   "source": [
    "The numbers behind the plot are in `seidel.data`: `\"per_surface\"` holds one row per Seidel coefficient and one column per surface, and `\"sum\"` holds the totals. They are also available directly from `lens.aberrations.seidels_per_surface()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f2b04ab5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 6)\n",
      "[-0.00696026  0.00123489  0.00890661 -0.02571584  0.00185882]\n"
     ]
    }
   ],
   "source": [
    "print(seidel.data[\"per_surface\"].shape)\n",
    "print(seidel.data[\"sum\"])"
   ]
  }
 ],
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