{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e088eb50",
   "metadata": {},
   "source": [
    "# Gaussian Beam Propagation\n",
    "\n",
    "Create a scalar Gaussian beam at its waist and propagate it with the angular spectrum method. All spatial values in this example use millimeters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7558be7d",
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import annotations\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import optiland.backend as be\n",
    "from optiland.physical_optics import gaussian_field"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5575ebee",
   "metadata": {},
   "outputs": [],
   "source": [
    "wavelength = 0.0006328\n",
    "field = gaussian_field(\n",
    "    shape=(256, 256),\n",
    "    dx=0.01,\n",
    "    wavelength=wavelength,\n",
    "    waist_radius=0.25,\n",
    ")\n",
    "propagated = field.propagate(200.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d5600942",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, y = propagated.coordinates()\n",
    "extent = [\n",
    "    float(be.to_numpy(x[0])),\n",
    "    float(be.to_numpy(x[-1])),\n",
    "    float(be.to_numpy(y[0])),\n",
    "    float(be.to_numpy(y[-1])),\n",
    "]\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(9, 4), constrained_layout=True)\n",
    "for axis, beam, title in zip(\n",
    "    axes,\n",
    "    (field, propagated),\n",
    "    (\"Waist plane\", \"After 200 mm\"),\n",
    "    strict=True,\n",
    "):\n",
    "    image = axis.imshow(\n",
    "        be.to_numpy(beam.intensity),\n",
    "        extent=extent,\n",
    "        origin=\"lower\",\n",
    "        cmap=\"inferno\",\n",
    "    )\n",
    "    axis.set(title=title, xlabel=\"x [mm]\", ylabel=\"y [mm]\")\n",
    "    fig.colorbar(image, ax=axis, label=\"Relative intensity\")\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "name": "python",
   "version": "3.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
