{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ghost Analysis with Multi-Sequence Tracing\n",
    "\n",
    "A ghost is a stray image formed when light partially reflects off two surfaces instead of refracting through them normally. Optiland models this with **multi-sequence tracing**: a sub-sequence traces the *same* surface objects as the main system, just in a different order, with an interaction override (`\"reflect\"`) at the bounce points.\n",
    "\n",
    "This means the ghost sequence is never a separate, disconnected copy of the lens. Geometry and materials are shared by reference with the base `Optic`, so editing a surface (or optimizing it) is immediately visible in both the nominal system and every ghost sequence built over it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:31.072890Z",
     "iopub.status.busy": "2026-07-31T13:39:31.072890Z",
     "iopub.status.idle": "2026-07-31T13:39:40.686585Z",
     "shell.execute_reply": "2026-07-31T13:39:40.686119Z"
    }
   },
   "outputs": [],
   "source": [
    "from optiland.analysis import SpotDiagram\n",
    "from optiland.samples.objectives import CookeTriplet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:40.688565Z",
     "iopub.status.busy": "2026-07-31T13:39:40.687940Z",
     "iopub.status.idle": "2026-07-31T13:39:40.982592Z",
     "shell.execute_reply": "2026-07-31T13:39:40.982045Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x400 with 1 Axes>, <Axes: xlabel='Z [mm]', ylabel='Y [mm]'>)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = CookeTriplet()\n",
    "lens.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining the ghost sequence\n",
    "\n",
    "`Optic.add_sequence` takes a list of steps. A bare surface index means \"forward, normal refraction/reflection\". An `(index, \"reflect\")` pair forces a reflection at that surface instead. The direction of travel (forward/reverse) is inferred automatically: it starts forward and flips every time the sequence reflects, since that is the point where the physical direction of propagation actually reverses.\n",
    "\n",
    "Here we trace a classic two-bounce ghost: light refracts normally through surfaces 1 and 2, partially reflects off surface 3, travels back to partially reflect off surface 2, then continues forward through 3 to the image plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:40.984737Z",
     "iopub.status.busy": "2026-07-31T13:39:40.984186Z",
     "iopub.status.idle": "2026-07-31T13:39:40.999662Z",
     "shell.execute_reply": "2026-07-31T13:39:40.999662Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SequencedOptic(name='ghost_2_3', base_optic=<optiland.samples.objectives.CookeTriplet object at 0x0000026A110999D0>, steps=10)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ghost = lens.add_sequence(\n",
    "    \"ghost_2_3\",\n",
    "    steps=[0, 1, 2, (3, \"reflect\"), (2, \"reflect\"), 3, 4, 5, 6, 7],\n",
    ")\n",
    "ghost"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sequences are validated at construction time: if the interaction at any step would leave the ray in a medium that does not match what the next step expects, `add_sequence` raises immediately rather than silently tracing something unphysical."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tracing the ghost\n",
    "\n",
    "Rays for the ghost sequence are generated exactly as they would be for the nominal system (same aperture stop, same conjugates, same ray aiming); only the path they take through the surfaces differs. Existing analyses like `SpotDiagram` work against a sequence the same way they work against an `Optic`, since a sequence exposes the same `trace`, `trace_generic`, and `surfaces` interface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:41.002692Z",
     "iopub.status.busy": "2026-07-31T13:39:41.001717Z",
     "iopub.status.idle": "2026-07-31T13:39:41.124774Z",
     "shell.execute_reply": "2026-07-31T13:39:41.124774Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1200x400 with 1 Axes>,\n",
       " [<Axes: title={'center': 'Hx: 0.000, Hy: 0.000'}, xlabel='X (mm)', ylabel='Y (mm)'>])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nominal_spot = SpotDiagram(lens, fields=[(0, 0)])\n",
    "nominal_spot.view()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:41.125888Z",
     "iopub.status.busy": "2026-07-31T13:39:41.125888Z",
     "iopub.status.idle": "2026-07-31T13:39:41.230920Z",
     "shell.execute_reply": "2026-07-31T13:39:41.230920Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1200x400 with 1 Axes>,\n",
       " [<Axes: title={'center': 'Hx: 0.000, Hy: 0.000'}, xlabel='X (mm)', ylabel='Y (mm)'>])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ghost_spot = SpotDiagram(ghost, fields=[(0, 0)])\n",
    "ghost_spot.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ghost spot lands in the same field of view as the real image, but is far larger and more diffuse, exactly the signature of a ghost image: a faint, out-of-focus blob rather than a sharp point. We can compare the two quantitatively with the RMS spot radius:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:41.231965Z",
     "iopub.status.busy": "2026-07-31T13:39:41.231965Z",
     "iopub.status.idle": "2026-07-31T13:39:41.244075Z",
     "shell.execute_reply": "2026-07-31T13:39:41.244075Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nominal image RMS spot radius: 0.0038 mm\n",
      "Ghost RMS spot radius:         17.4720 mm\n",
      "Ghost is 4608x larger\n"
     ]
    }
   ],
   "source": [
    "nominal_rms = nominal_spot.rms_spot_radius()[0][0]\n",
    "ghost_rms = ghost_spot.rms_spot_radius()[0][0]\n",
    "\n",
    "print(f\"Nominal image RMS spot radius: {nominal_rms:.4f} mm\")\n",
    "print(f\"Ghost RMS spot radius:         {ghost_rms:.4f} mm\")\n",
    "print(f\"Ghost is {ghost_rms / nominal_rms:.0f}x larger\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The base system and the ghost stay linked\n",
    "\n",
    "Because `SurfaceView` shares geometry with the base surfaces by reference, changing a base surface's radius updates the ghost trace too, without redefining the sequence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:41.246092Z",
     "iopub.status.busy": "2026-07-31T13:39:41.246092Z",
     "iopub.status.idle": "2026-07-31T13:39:41.265060Z",
     "shell.execute_reply": "2026-07-31T13:39:41.265060Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ghost RMS spot radius before edit: 17.4720 mm\n",
      "Ghost RMS spot radius after edit:  17.4683 mm\n"
     ]
    }
   ],
   "source": [
    "original_radius = lens.surfaces.surfaces[2].geometry.radius\n",
    "lens.surfaces.surfaces[2].geometry.radius = original_radius * 1.05\n",
    "\n",
    "ghost_spot_after = SpotDiagram(ghost, fields=[(0, 0)])\n",
    "print(f\"Ghost RMS spot radius before edit: {ghost_rms:.4f} mm\")\n",
    "print(f\"Ghost RMS spot radius after edit:  {ghost_spot_after.rms_spot_radius()[0][0]:.4f} mm\")\n",
    "\n",
    "lens.surfaces.surfaces[2].geometry.radius = original_radius"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Optimizing with the ghost in the loop\n",
    "\n",
    "Since a sequence exposes the same `trace`-based interface as an `Optic`, ray operands like `rms_spot_size` work against it directly. That means a merit function can mix operands over the nominal system and a ghost sequence in the same `OptimizationProblem`, for example to keep the nominal image sharp while also constraining how tightly a ghost focuses."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-31T13:39:41.267071Z",
     "iopub.status.busy": "2026-07-31T13:39:41.267071Z",
     "iopub.status.idle": "2026-07-31T13:39:41.307807Z",
     "shell.execute_reply": "2026-07-31T13:39:41.307807Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤════════════════╤══════════╤══════════════╤══════════════╤══════════╤═══════════════╤═════════╤═════════╤════════════════╕\n",
      "│    │ Operand Type   │ Target   │ Min. Bound   │ Max. Bound   │   Weight │   Eff. Weight │   Value │   Delta │   Contrib. [%] │\n",
      "╞════╪════════════════╪══════════╪══════════════╪══════════════╪══════════╪═══════════════╪═════════╪═════════╪════════════════╡\n",
      "│  0 │ rms spot size  │ +0.000   │              │              │      1   │           1   │   0.004 │   0.004 │            100 │\n",
      "│  1 │ rms spot size  │          │ 0.5          │              │      0.1 │           0.1 │  16.558 │   0     │              0 │\n",
      "╘════╧════════════════╧══════════╧══════════════╧══════════════╧══════════╧═══════════════╧═════════╧═════════╧════════════════╛\n"
     ]
    }
   ],
   "source": [
    "from optiland.optimization import OptimizationProblem\n",
    "\n",
    "problem = OptimizationProblem()\n",
    "problem.add_operand(\n",
    "    \"rms_spot_size\",\n",
    "    target=0.0,\n",
    "    weight=1.0,\n",
    "    input_data={\n",
    "        \"optic\": lens,\n",
    "        \"surface_number\": -1,\n",
    "        \"Hx\": 0.0,\n",
    "        \"Hy\": 0.0,\n",
    "        \"num_rays\": 20,\n",
    "        \"wavelength\": 0.55,\n",
    "    },\n",
    ")\n",
    "problem.add_operand(\n",
    "    \"rms_spot_size\",\n",
    "    min_val=0.5,\n",
    "    weight=0.1,\n",
    "    input_data={\n",
    "        \"optic\": ghost,\n",
    "        \"surface_number\": -1,\n",
    "        \"Hx\": 0.0,\n",
    "        \"Hy\": 0.0,\n",
    "        \"num_rays\": 20,\n",
    "        \"wavelength\": 0.55,\n",
    "        \"nan_policy\": \"omit\",\n",
    "    },\n",
    ")\n",
    "problem.operand_info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The second operand sets `min_val=0.5`, an inequality constraint asking the optimizer to keep the ghost spread over at least 0.5 mm, i.e. to keep it diffuse rather than letting it accidentally focus into a sharp secondary image. This is the kind of constraint that is only possible once the ghost path is a first-class part of the merit function, alongside the nominal image quality."
   ]
  }
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