{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "98068eb2",
   "metadata": {},
   "source": [
    "# Tutorial 10a: Non-Sequential & Illumination\n",
    "\n",
    "Most Optiland tutorials use the **sequential** engine: light passes through a known,\n",
    "ordered list of surfaces toward a single image plane. That is the right tool for\n",
    "imaging design. But many problems are not imaging problems:\n",
    "\n",
    "* How uniform is the light an LED throws onto a screen?\n",
    "* Where does stray light and how many *ghost reflections* land on my sensor?\n",
    "* How efficient is a non-imaging concentrator or light pipe?\n",
    "\n",
    "For these, Optiland ships a differentiable **non-sequential (NSQ)** engine. Rays\n",
    "propagate freely through a 3-D scene and interact with surfaces **in any order** —\n",
    "reflecting, refracting, and scattering wherever they go. This tutorial is a short\n",
    "on-ramp; the [NSQ gallery](../gallery/nonsequential.rst) is the deep dive.\n",
    "\n",
    "> **Two engines, two jobs.** NSQ runs forward on **NumPy** (fast, 1e7+ rays — the\n",
    "> production illumination/stray-light path, used here) and differentiably on\n",
    "> **PyTorch** (optimize a scene with `loss.backward()`). See gallery notebook 11.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3137ad3",
   "metadata": {},
   "source": [
    "## 1. A small illumination scene\n",
    "\n",
    "An NSQ model is an `NSQScene` holding **sources**, **components**, and **detectors**,\n",
    "each placed with a `CoordinateSystem`. Units: wavelengths in **µm**, positions in\n",
    "**mm**, angles in **radians** (config fields ending in `_deg` are degrees).\n",
    "\n",
    "Here we throw a rectangular, LED-like `ExtendedSource` onto a screen and read the\n",
    "irradiance footprint — no lens, just free propagation.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6c26ebb1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-18T17:53:54.525726Z",
     "iopub.status.busy": "2026-08-18T17:53:54.525559Z",
     "iopub.status.idle": "2026-08-18T17:53:58.719551Z",
     "shell.execute_reply": "2026-08-18T17:53:58.718860Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flux launched  : 1.000 W\n",
      "Flux on screen : 0.666 W  (133,123 rays)\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from optiland.coordinate_system import CoordinateSystem\n",
    "from optiland.nonsequential import (\n",
    "    NSQScene, Spectrum, ExtendedSourceConfig, IrradianceDetectorConfig,\n",
    ")\n",
    "\n",
    "scene = NSQScene()\n",
    "spec = Spectrum.monochromatic(0.55)          # 550 nm (wavelengths are in micrometres)\n",
    "\n",
    "# A 10 x 6 mm extended (LED-like) emitter into a 60-degree half-angle cone\n",
    "scene.add_source(\n",
    "    'LED', CoordinateSystem(z=0),\n",
    "    ExtendedSourceConfig(spectrum=spec, total_flux=1.0,\n",
    "                         width=10, height=6, half_angle_deg=60),\n",
    ")\n",
    "# A screen 40 mm downstream\n",
    "scene.add_detector(\n",
    "    'screen', CoordinateSystem(z=40),\n",
    "    IrradianceDetectorConfig(width=80, height=80, num_pixels_x=128, num_pixels_y=128),\n",
    ")\n",
    "\n",
    "# Forward trace on the NumPy engine\n",
    "result = scene.trace(num_rays=200_000, max_depth=16, seed=0)\n",
    "\n",
    "screen = result.detectors['screen']\n",
    "print(f\"Flux launched  : {result.total_flux_in:.3f} W\")\n",
    "print(f\"Flux on screen : {screen.total_flux:.3f} W  ({screen.num_rays_hit:,} rays)\")\n",
    "\n",
    "fig = screen.plot(cmap='inferno')\n",
    "plt.title('Irradiance footprint of a 10 x 6 mm extended source')\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6fc7a5a5",
   "metadata": {},
   "source": [
    "## 2. Reading detectors\n",
    "\n",
    "`scene.trace(...)` returns a `SimulationResult`. Its `.detectors` dict is keyed by the\n",
    "names you assigned; each value is a result object — here an `IrradianceMap` with\n",
    "`.irradiance` (a W/mm² pixel array), `.total_flux`, `.num_rays_hit`, and a `.plot()`\n",
    "helper. The `SimulationResult` itself also carries flux-conservation bookkeeping\n",
    "(`total_flux_in`, `total_flux_detected`, `num_rays_escaped`, `num_rays_depth_killed`, …).\n",
    "\n",
    "Other detectors record different physics: `FarFieldDetector` (angular intensity),\n",
    "`SpectralDetector` (per-wavelength), and `RayDatabaseDetector` (every ray's full\n",
    "phase-space record). They are covered in gallery notebook 04.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03b5d849",
   "metadata": {},
   "source": [
    "## 3. Already have a lens? Convert it for stray-light analysis\n",
    "\n",
    "The fastest on-ramp for existing Optiland users: take any sequential `Optic` and\n",
    "convert it to an `NSQScene` in **one line**. `sequential_to_nonsequential` maps\n",
    "singlets to `Lens`, cemented doublets to `Doublet`, and the image surface to an\n",
    "`IrradianceDetector`. Because NSQ models Fresnel reflections at every uncoated\n",
    "interface, the trace reveals **ghost reflections** that the sequential engine never\n",
    "shows (the sequential engine always transmits 100% at an uncoated surface).\n",
    "\n",
    "Conversion is never perfectly lossless — a sequential system doesn't carry\n",
    "everything NSQ needs (explicit apertures, mirror reflectance, coatings), so the\n",
    "converter has to default, estimate, or drop what's missing. Every such decision is\n",
    "recorded on the returned scene as `scene.conversion_report`, a structured record\n",
    "you can inspect instead of having to parse warning text — read it before trusting\n",
    "a converted trace.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e7e99c1d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-18T17:53:58.721700Z",
     "iopub.status.busy": "2026-08-18T17:53:58.721424Z",
     "iopub.status.idle": "2026-08-18T17:54:01.292021Z",
     "shell.execute_reply": "2026-08-18T17:54:01.291417Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bare Fresnel, no sequential coating found (6): L1.front, L1.back, L3.front, L3.back, L5.front, L5.back\n",
      "Apertures estimated (not explicitly set) (6): L1.front, L1.back, L3.front, L3.back, L5.front, L5.back\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NSQ trace diagnostics:\n",
      "  depth_truncated_flux_fraction: 0.0000%\n",
      "  rr_killed_flux_fraction:       0.0000%\n",
      "  flux_conservation_error:       0.0000%\n",
      "  unreached_geometry:            none\n",
      "  medium_stack_underflows:       0\n",
      "  split_budget_saturated:        False\n",
      "  detectors:\n",
      "    D1: 54478 hits, 0.21 mean hits/pixel [undersampled]\n",
      "Warnings:\n",
      "  - Detector 'D1' is undersampled: 0.2 mean hits/pixel (< 10), shot noise dominates the map; ~192,476,963 rays would bring it to ~5% relative error.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Image-plane flux: 1.6329 W from 54,478 rays\n"
     ]
    }
   ],
   "source": [
    "import warnings\n",
    "\n",
    "from optiland.samples.objectives import CookeTriplet\n",
    "from optiland.nonsequential import sequential_to_nonsequential\n",
    "\n",
    "optic = CookeTriplet()\n",
    "\n",
    "with warnings.catch_warnings():\n",
    "    # The converter also raises a plain warning for the same information;\n",
    "    # scene.conversion_report below is the structured version of it, so we\n",
    "    # silence the warning and inspect the report instead.\n",
    "    warnings.simplefilter('ignore')\n",
    "    ghost_scene = sequential_to_nonsequential(optic)\n",
    "\n",
    "print(ghost_scene.conversion_report.summary())\n",
    "\n",
    "# max_depth high enough to let rays bounce between surfaces and form ghosts\n",
    "result = ghost_scene.trace(num_rays=100_000, max_depth=32, seed=0)\n",
    "\n",
    "# Ghost flux is faint by construction (a few percent of the beam, several\n",
    "# bounces deep), so always check result.report() before trusting the numbers:\n",
    "# a converted, multi-bounce scene like this one is exactly where an\n",
    "# undersampled detector or truncated-depth flux would otherwise go unnoticed.\n",
    "print(result.report())\n",
    "\n",
    "det_name = list(result.detectors)[0]         # converter names the image detector\n",
    "img = result.detectors[det_name]\n",
    "\n",
    "fig = img.plot(cmap='hot')\n",
    "plt.title('Cooke triplet image plane — direct image + Fresnel ghosts')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(f\"\\nImage-plane flux: {img.total_flux:.4f} W from {img.num_rays_hit:,} rays\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6338b30d",
   "metadata": {},
   "source": [
    "## Where to go next\n",
    "\n",
    "This was the teaser. The **[NSQ gallery](../gallery/nonsequential.rst)** is the full\n",
    "deep dive:\n",
    "\n",
    "* **01–05** — getting started, ray sources, optical components, detectors & results,\n",
    "  surface scattering (BSDFs).\n",
    "* **06–10** — diagnostics, multi-source illumination, stray-light/ghost analysis,\n",
    "  reflective systems, advanced topics.\n",
    "* **11 — Differentiable optimization.** Switch to the PyTorch backend and reshape a\n",
    "  detector's irradiance by optimizing a lens radius via `loss.backward()`.\n",
    "\n",
    "NSQ is pre-release (never shipped in a tagged Optiland version), so its API may\n",
    "still change. For the current capability envelope and known limitations (notably\n",
    "zero visibility gradients), see the canonical\n",
    "**[NSQ Limitations & Roadmap](../gallery/nonsequential/limitations_and_roadmap.rst)** page.\n"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "optiland-venv",
   "language": "python",
   "name": "optiland-venv"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
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  "nbsphinx": {
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