{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "6026a74b",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget\n",
    "\n",
    "isdark = False\n",
    "\n",
    "from rayoptics.environment import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "c7d740ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "opm = OpticalModel()\n",
    "sm  = opm['seq_model']\n",
    "osp = opm['optical_spec']\n",
    "pm = opm['parax_model']\n",
    "\n",
    "osp['pupil'] = PupilSpec(osp, key=['object', 'pupil'], value=16)\n",
    "osp['fov'] = FieldSpec(osp, key=['object', 'angle'], value=1., flds=[0., 0.707, 1.], is_relative=True)\n",
    "osp['wvls'] = WvlSpec([('F', 0.5), (587.5618, 1.0), ('C', 0.5)], ref_wl=1)\n",
    "\n",
    "opm.radius_mode = True\n",
    "\n",
    "sm.gaps[0].thi=1e10\n",
    "\n",
    "use_schyrle = True\n",
    "if use_schyrle:\n",
    "    sm.add_surface([246, 2, 'N-LASF9', 'Schott', 42/2])\n",
    "    sm.add_surface([1e9, 290+36])\n",
    "    sm.add_surface([1e9, 2, 'N-LASF9', 'Schott', 16/2])\n",
    "    sm.add_surface([-30.6, 36+36])\n",
    "    sm.add_surface([30.6, 2, 'N-LASF9', 'Schott', 16/2])\n",
    "    sm.add_surface([1e9, 36+36])\n",
    "    sm.add_surface([1e9, 2, 'N-LASF9', 'Schott', 16/2])\n",
    "    sm.add_surface([-30.6, 36])\n",
    "else:\n",
    "    sm.add_surface([246, 2, 'N-LASF9', 'Schott', 42/2])\n",
    "    sm.add_surface([1e9, 290+2*36])\n",
    "    sm.add_surface([1e9, 2, 'N-LASF9', 'Schott', 16])\n",
    "    sm.add_surface([-30.6, 36+36+36])\n",
    "    sm.add_surface([30.6, 2, 'N-LASF9', 'Schott', 16])\n",
    "    sm.add_surface([1e9, 96])\n",
    "# add a focusing mirror\n",
    "#sm.add_surface([30.6, 2, 'N-LASF9', 'Schott', 16])\n",
    "#sm.add_surface([1e9, 36])\n",
    "#sm.add_surface([-24.456, .975, 'N-SF5,Schott'])\n",
    "#sm.set_stop()\n",
    "#sm.add_surface([21.896, 4.822])\n",
    "#sm.add_surface([86.759, 5.127, 'N-LAK9', 'Schott'])\n",
    "#sm.add_surface([-30.4942, 41.2365])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "a26f0ff4",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e617f99036964ea9ac79bf2b2e178d9c",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "opm.update_model()\n",
    "\n",
    "layout_plt = plt.figure(FigureClass=InteractiveLayout, opt_model=opm, is_dark=isdark).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "85fd9885",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "efl                2071\n",
      "ffl          -1.694e+04\n",
      "pp1          -1.487e+04\n",
      "bfl               293.6\n",
      "ppk                1777\n",
      "f/#               129.4\n",
      "m            -2.071e-07\n",
      "red          -4.829e+06\n",
      "obj_dist          1e+10\n",
      "obj_ang               1\n",
      "enp_dist             -0\n",
      "enp_radius            8\n",
      "na obj            8e-10\n",
      "n obj                 1\n",
      "img_dist          293.6\n",
      "img_ht            36.15\n",
      "exp_dist          297.9\n",
      "exp_radius       0.9782\n",
      "na img        -0.003863\n",
      "n img                 1\n",
      "optical invariant       0.1396\n"
     ]
    }
   ],
   "source": [
    "pm.first_order_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "8f39b24f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "27eac6b1a50a4387a7bc3a63a5177cc2",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# add a focusing mirror\n",
    "sm.add_surface([100, 2, 'N-LASF9', 'Schott', 16])\n",
    "sm.add_surface([1e9, 36])\n",
    "\n",
    "opm.update_model()\n",
    "\n",
    "opm.seq_model.gaps[-1].thi = opm.optical_spec.parax_data.fod.bfl\n",
    "opm.update_model()\n",
    "\n",
    "layout_plt = plt.figure(FigureClass=InteractiveLayout, opt_model=opm, is_dark=isdark).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "fbb733ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "23c9def119674bf8a861a23902fed152",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#spot_plt = plt.figure(FigureClass=SpotDiagramFigure, opt_model=opm, scale_type=Fit.User_Scale,\n",
    "#                      user_scale_value=0.1, is_dark=isdark).plot()\n",
    "abr_plt = plt.figure(FigureClass=RayFanFigure, opt_model=opm, data_type='Ray',\n",
    "                     scale_type=Fit.All_Same).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "95deb34e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "81ae620ec943442fa196344ce2243b87",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "opm.seq_model.gaps[-1].thi = opm.optical_spec.parax_data.fod.bfl + 3\n",
    "opm.update_model()\n",
    "\n",
    "#spot_plt = plt.figure(FigureClass=SpotDiagramFigure, opt_model=opm, scale_type=Fit.User_Scale,\n",
    "#                      user_scale_value=0.1, is_dark=isdark).plot()T\n",
    "spot_plt = plt.figure(FigureClass=SpotDiagramFigure, opt_model=opm, is_dark=isdark).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a6ed5037",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d6099313",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4b96dd72",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}