{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6ff0cace",
   "metadata": {},
   "source": [
    "# Tutorial 1f: Paraxial Gaussian Beams and Resonators"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9e6a9df",
   "metadata": {},
   "source": [
    "*Last verified against the Optiland development version (after v0.6.3).*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9663d711",
   "metadata": {},
   "source": [
    "Ray tracing tells you where light goes. It cannot tell you how large a laser\n",
    "beam is at its focus, where its waist sits, or which beam a resonator supports. For a\n",
    "well-behaved laser beam all of that follows from one complex number, the **beam\n",
    "parameter** $q$, and the same ray-transfer (ABCD) matrices that Optiland already\n",
    "computes for every system.\n",
    "\n",
    "This tutorial introduces two tools:\n",
    "\n",
    "- `GaussianBeam` (in `optiland.physical_optics`): a paraxial, rotationally symmetric\n",
    "  Gaussian beam at one plane, described by its beam parameter $q$.\n",
    "- `GaussianBeamAnalysis` (in `optiland.analysis`): carries a beam surface by surface\n",
    "  through any `Optic` that the first-order engine supports, mirrors and folds included.\n",
    "\n",
    "You will focus a laser with a real lens, design a mode-matching telescope and find the\n",
    "eigenmode of a resonator. Then you will use the arm cavity of ETpathfinder to reproduce\n",
    "Figure 6.5 of the\n",
    "[ETpathfinder Design Report](https://www.etpathfinder.eu/wp-content/uploads/2020/03/ETpathfinder-Design-Report.pdf)\n",
    "and go a little further. If you have worked through\n",
    "[Tutorial 1a](Tutorial_1a_Optiland_for_Beginners.ipynb) and\n",
    "[Tutorial 1b](Tutorial_1b_Lens_Properties_and_Prescription.ipynb), you have everything you\n",
    "need.\n",
    "\n",
    "**Conventions.** Lengths are in millimeters and wavelengths in micrometers, as everywhere\n",
    "in Optiland. Beam radii $w$ are 1/e² intensity radii. The beam parameter is\n",
    "$q = (z - z_w) + i z_R$, where $z - z_w$ is the signed distance from the waist (negative\n",
    "before it) and $z_R = \\pi n w_0^2 / \\lambda_0$ is the Rayleigh range in a medium of\n",
    "index $n$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5a7f6107",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:20:59.790483Z",
     "iopub.status.busy": "2026-10-22T18:20:59.790075Z",
     "iopub.status.idle": "2026-10-22T18:21:11.438614Z",
     "shell.execute_reply": "2026-10-22T18:21:11.435544Z"
    }
   },
   "outputs": [],
   "source": [
    "import math\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.optimize import brentq, minimize\n",
    "\n",
    "import optiland.backend as be\n",
    "from optiland.analysis import GaussianBeamAnalysis\n",
    "from optiland.materials import IdealMaterial\n",
    "from optiland.optic import Optic\n",
    "from optiland.physical_optics import GaussianBeam"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d27261a1",
   "metadata": {},
   "source": [
    "## 1. A Gaussian beam in free space\n",
    "\n",
    "`GaussianBeam.from_waist` builds a beam from its waist radius and the signed distance\n",
    "from the current plane to the waist (positive when the waist lies downstream).\n",
    "Everything else, from the beam radius and wavefront curvature to the divergence and the\n",
    "Gouy phase, is derived from $q$. Here is a Nd:YAG beam with a 0.5 mm waist at the\n",
    "starting plane, followed through free space:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "90465cb8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:11.444615Z",
     "iopub.status.busy": "2026-10-22T18:21:11.444096Z",
     "iopub.status.idle": "2026-10-22T18:21:11.457416Z",
     "shell.execute_reply": "2026-10-22T18:21:11.455150Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GaussianBeam(w=0.5 mm, w0=0.5 mm, waist at +0 mm, wavelength=1.064 µm, m2=1.0)\n",
      "Rayleigh range  738.2 mm\n",
      "divergence      0.677 mrad (far-field half-angle)\n",
      "\n",
      "z =     0.0 mm   w = 0.5000 mm   R =     inf mm   Gouy phase =  0.00°\n",
      "z =   250.0 mm   w = 0.5279 mm   R =  2429.5 mm   Gouy phase = 18.71°\n",
      "z =   738.2 mm   w = 0.7071 mm   R =  1476.3 mm   Gouy phase = 45.00°\n",
      "z =  2214.5 mm   w = 1.5811 mm   R =  2460.5 mm   Gouy phase = 71.57°\n"
     ]
    }
   ],
   "source": [
    "beam = GaussianBeam.from_waist(0.5, 0.0, wavelength=1.064)  # 0.5 mm waist here\n",
    "z_r = float(beam.rayleigh_range)\n",
    "print(beam)\n",
    "print(f\"Rayleigh range  {z_r:.1f} mm\")\n",
    "print(f\"divergence      {1e3 * float(beam.divergence):.3f} mrad (far-field half-angle)\")\n",
    "print()\n",
    "for z in (0.0, 250.0, z_r, 3 * z_r):\n",
    "    b = beam.propagate(z)\n",
    "    curvature = float(b.curvature)  # 1/R, zero at the waist\n",
    "    radius = \"inf\" if curvature == 0 else f\"{1 / curvature:.1f}\"\n",
    "    gouy = math.degrees(float(beam.gouy_phase(z)))\n",
    "    print(\n",
    "        f\"z = {z:7.1f} mm   w = {float(b.beam_radius):.4f} mm   \"\n",
    "        f\"R = {radius:>7} mm   Gouy phase = {gouy:5.2f}°\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15f9b3d2",
   "metadata": {},
   "source": [
    "At one Rayleigh range the beam is $\\sqrt{2}$ times wider than at the waist, its\n",
    "wavefront radius is at its smallest ($2 z_R$) and it has picked up 45° of Gouy phase.\n",
    "`curvature` returns $1/R$ rather than $R$, so it stays finite (zero) at the waist, which\n",
    "keeps gradients well-behaved on the PyTorch backend."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0d71cdf",
   "metadata": {},
   "source": [
    "## 2. Focusing a laser with a real lens\n",
    "\n",
    "`GaussianBeamAnalysis(optic, beam)` takes the beam just before surface 1 (its waist\n",
    "position is measured from the vertex of surface 1) and applies each surface's\n",
    "ray-transfer matrix in turn, recording the beam before and after every surface. Here a\n",
    "collimated 1 mm beam is focused by a plano-convex N-BK7 singlet whose image plane sits\n",
    "at the paraxial focus:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a102d16b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:11.461390Z",
     "iopub.status.busy": "2026-10-22T18:21:11.461048Z",
     "iopub.status.idle": "2026-10-22T18:21:11.614998Z",
     "shell.execute_reply": "2026-10-22T18:21:11.613534Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "effective focal length       102.006 mm\n",
      "waist radius at the focus    34.53 µm\n",
      "thin-lens estimate λf/(πw)   34.55 µm\n",
      "waist relative to the paraxial image plane -121.6 µm\n"
     ]
    }
   ],
   "source": [
    "singlet = Optic(name=\"Plano-convex singlet\")\n",
    "singlet.surfaces.add(index=0, radius=be.inf, thickness=be.inf)\n",
    "singlet.surfaces.add(index=1, radius=51.68, thickness=5.0, material=\"N-BK7\", is_stop=True)\n",
    "singlet.surfaces.add(index=2, radius=be.inf, thickness=100.0)\n",
    "singlet.surfaces.add(index=3)\n",
    "singlet.set_aperture(aperture_type=\"EPD\", value=10.0)\n",
    "singlet.fields.set_type(\"angle\")\n",
    "singlet.fields.add(y=0.0)\n",
    "singlet.wavelengths.add(value=1.064, is_primary=True)\n",
    "singlet.updater.image_solve()  # put the image plane at the paraxial focus\n",
    "\n",
    "collimated = GaussianBeam.from_waist(1.0, 0.0, wavelength=1.064)  # waist on the lens\n",
    "focusing = GaussianBeamAnalysis(singlet, collimated)\n",
    "\n",
    "at_image = focusing.beam_at(-1, \"before\")\n",
    "f2 = float(singlet.paraxial.f2())\n",
    "print(f\"effective focal length       {f2:.3f} mm\")\n",
    "print(f\"waist radius at the focus    {1e3 * float(at_image.waist_radius):.2f} µm\")\n",
    "print(f\"thin-lens estimate λf/(πw)   {1.064 * f2 / (math.pi * 1.0):.2f} µm\")\n",
    "print(\n",
    "    \"waist relative to the paraxial image plane \"\n",
    "    f\"{1e3 * float(at_image.waist_position):+.1f} µm\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "00510749",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:11.618241Z",
     "iopub.status.busy": "2026-10-22T18:21:11.617930Z",
     "iopub.status.idle": "2026-10-22T18:21:11.964811Z",
     "shell.execute_reply": "2026-10-22T18:21:11.962481Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x350 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "focusing.view(figsize=(8, 3.5));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "362af940",
   "metadata": {},
   "source": [
    "`view()` draws the beam envelope $\\pm w$ along the unfolded optical axis, with a\n",
    "gray line at each surface. The focal waist agrees with the thin-lens estimate\n",
    "$\\lambda f / (\\pi w)$, and it sits a little *before* the paraxial image plane: a\n",
    "Gaussian beam with a finite Rayleigh range focuses slightly short of the geometric focus\n",
    "(Self, 1983)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "745678f6",
   "metadata": {},
   "source": [
    "## 3. Mode matching into a cavity\n",
    "\n",
    "A laser rarely has the beam that a cavity, a fiber or an amplifier wants.\n",
    "`GaussianBeam.overlap` returns the fraction of power that one TEM00 beam couples into\n",
    "another at the same plane,\n",
    "$\\eta = 4\\,\\mathrm{Im}\\,q_1\\,\\mathrm{Im}\\,q_2 / |q_1^* - q_2|^2$.\n",
    "\n",
    "Here a laser with a 0.5 mm waist 200 mm before the first lens has to be matched into a\n",
    "cavity mode with a 0.15 mm waist at the image plane of a telescope made of two N-BK7\n",
    "plano-convex lenses (f = 200 mm and 100 mm). The lens separation and the distance to\n",
    "the cavity are the two free parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "928bc898",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:11.968081Z",
     "iopub.status.busy": "2026-10-22T18:21:11.967781Z",
     "iopub.status.idle": "2026-10-22T18:21:15.791735Z",
     "shell.execute_reply": "2026-10-22T18:21:15.790191Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "starting telescope: η = 0.7566\n",
      "optimized: separation 369.52 mm, distance to the cavity 185.94 mm, η = 1.000000\n",
      "separation error ± 1.0 mm: η = 0.9999 / 0.9999\n",
      "separation error ± 5.0 mm: η = 0.9979 / 0.9979\n",
      "separation error ±10.0 mm: η = 0.9915 / 0.9915\n"
     ]
    }
   ],
   "source": [
    "WAVELENGTH = 1.064  # µm\n",
    "\n",
    "\n",
    "def telescope(separation=300.0, back_distance=150.0):\n",
    "    \"\"\"Two N-BK7 plano-convex singlets, f = 200 mm and f = 100 mm at 1064 nm.\"\"\"\n",
    "    lens = Optic(name=\"Mode-matching telescope\")\n",
    "    lens.surfaces.add(index=0, radius=be.inf, thickness=be.inf)\n",
    "    lens.surfaces.add(index=1, radius=101.3, thickness=4.0, material=\"N-BK7\", is_stop=True)\n",
    "    lens.surfaces.add(index=2, radius=be.inf, thickness=separation)\n",
    "    lens.surfaces.add(index=3, radius=50.66, thickness=4.0, material=\"N-BK7\")\n",
    "    lens.surfaces.add(index=4, radius=be.inf, thickness=back_distance)\n",
    "    lens.surfaces.add(index=5)  # plane of the cavity waist\n",
    "    lens.set_aperture(aperture_type=\"EPD\", value=10.0)\n",
    "    lens.fields.set_type(\"angle\")\n",
    "    lens.fields.add(y=0.0)\n",
    "    lens.wavelengths.add(value=WAVELENGTH, is_primary=True)\n",
    "    return lens\n",
    "\n",
    "\n",
    "laser = GaussianBeam.from_waist(0.5, -200.0, wavelength=WAVELENGTH)\n",
    "cavity_mode = GaussianBeam.from_waist(0.15, 0.0, wavelength=WAVELENGTH)\n",
    "\n",
    "\n",
    "def coupling(separation, back_distance):\n",
    "    \"\"\"Power coupled from the laser into the cavity mode.\"\"\"\n",
    "    analysis = GaussianBeamAnalysis(telescope(separation, back_distance), laser)\n",
    "    return float(analysis.beam_at(-1, \"before\").overlap(cavity_mode))\n",
    "\n",
    "\n",
    "print(f\"starting telescope: η = {coupling(300.0, 150.0):.4f}\")\n",
    "\n",
    "best = minimize(\n",
    "    lambda x: 1.0 - coupling(*x),\n",
    "    x0=[300.0, 150.0],\n",
    "    method=\"Nelder-Mead\",\n",
    "    options={\"xatol\": 1e-4, \"fatol\": 1e-12},\n",
    ")\n",
    "separation, back_distance = best.x\n",
    "print(\n",
    "    f\"optimized: separation {separation:.2f} mm, distance to the cavity \"\n",
    "    f\"{back_distance:.2f} mm, η = {1 - best.fun:.6f}\"\n",
    ")\n",
    "for error in (1.0, 5.0, 10.0):\n",
    "    low = coupling(separation - error, back_distance)\n",
    "    high = coupling(separation + error, back_distance)\n",
    "    print(f\"separation error ±{error:>4.1f} mm: η = {low:.4f} / {high:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "292a8638",
   "metadata": {},
   "source": [
    "Two free distances are enough to match both the size and the position of the\n",
    "waist, so the optimizer reaches $\\eta = 1$. The last lines show how forgiving the result\n",
    "is to an error in the lens separation."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1aa852b7",
   "metadata": {},
   "source": [
    "## 4. A resonator: the ETpathfinder arm cavity\n",
    "\n",
    "A stable optical resonator supports exactly one Gaussian beam that reproduces itself\n",
    "after a round trip. `GaussianBeam.from_round_trip` solves $q = (Aq + B)/(Cq + D)$ for the\n",
    "round-trip matrix of a cavity.\n",
    "\n",
    "ETpathfinder's arm cavities (Section 6.4 of the design report) have two silicon test\n",
    "masses whose mirror surfaces are $L$ = 9.22 m apart, both with a 14.5 m radius of\n",
    "curvature (RoC), at 1550 nm. Model the arm as an `Optic`: surface 1 is a plane at the\n",
    "input test mass (ITM) heading towards the end test mass (ETM), and surfaces 2 and 3 are\n",
    "the two mirrors, so `ray_transfer_matrix(1, 3)` is the round trip from the ITM back to\n",
    "itself. The ETM faces a beam travelling in +z, so its radius is negative; after the\n",
    "reflection the beam travels in −z, and the ITM's radius is positive."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c48743a1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:15.795455Z",
     "iopub.status.busy": "2026-10-22T18:21:15.795146Z",
     "iopub.status.idle": "2026-10-22T18:21:15.808223Z",
     "shell.execute_reply": "2026-10-22T18:21:15.806603Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eigenmode at the ITM:       GaussianBeam(w=2.21004 mm, w0=1.82522 mm, waist at +4610 mm, wavelength=1.55 µm, m2=1.0)\n",
      "after one round trip:       GaussianBeam(w=2.21004 mm, w0=1.82522 mm, waist at +4610 mm, wavelength=1.55 µm, m2=1.0)\n",
      "beam radius on the ETM:     2.2100 mm\n"
     ]
    }
   ],
   "source": [
    "L_ARM = 9220.0   # mm, ITM to ETM\n",
    "ROC = 14500.0    # mm, radius of curvature of both test masses\n",
    "LAMBDA = 1.55    # µm\n",
    "\n",
    "\n",
    "def arm_cavity(roc_itm=ROC, roc_etm=ROC, length=L_ARM, wavelength=LAMBDA):\n",
    "    \"\"\"A two-mirror linear cavity, starting at the ITM and heading to the ETM.\"\"\"\n",
    "    arm = Optic(name=\"ETpathfinder arm cavity\")\n",
    "    arm.surfaces.add(index=0, thickness=be.inf)\n",
    "    arm.surfaces.add(index=1, thickness=length, is_stop=True)  # plane at the ITM\n",
    "    arm.surfaces.add(index=2, radius=-roc_etm, material=\"mirror\", thickness=-length)\n",
    "    arm.surfaces.add(index=3, radius=roc_itm, material=\"mirror\", thickness=0.0)\n",
    "    arm.surfaces.add(index=4)\n",
    "    arm.set_aperture(aperture_type=\"EPD\", value=10.0)\n",
    "    arm.fields.set_type(\"angle\")\n",
    "    arm.fields.add(y=0.0)\n",
    "    arm.wavelengths.add(value=wavelength, is_primary=True)\n",
    "    return arm\n",
    "\n",
    "\n",
    "def eigenmode(arm, wavelength=LAMBDA):\n",
    "    \"\"\"The beam that reproduces itself after one round trip, at the ITM.\"\"\"\n",
    "    round_trip = arm.paraxial.ray_transfer_matrix(1, 3, wavelength)\n",
    "    return GaussianBeam.from_round_trip(round_trip, wavelength=wavelength)\n",
    "\n",
    "\n",
    "arm = arm_cavity()\n",
    "mode = eigenmode(arm)\n",
    "round_trip = GaussianBeamAnalysis(arm, mode)\n",
    "\n",
    "print(\"eigenmode at the ITM:      \", mode)\n",
    "print(\"after one round trip:      \", round_trip.beam_at(3, \"after\"))\n",
    "print(\n",
    "    f\"beam radius on the ETM:     {float(round_trip.beam_at(2, 'before').beam_radius):.4f} mm\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5cec5f2",
   "metadata": {},
   "source": [
    "The design report quotes a waist of 1.825 mm and a beam radius of 2.21 mm on the\n",
    "test masses for this cavity, and Optiland reproduces both. The waist sits halfway\n",
    "between the mirrors (+4610 mm from the ITM), as it must in a symmetric cavity, and the\n",
    "beam comes back unchanged after the round trip."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1087e48",
   "metadata": {},
   "source": [
    "## 5. Reproducing Figure 6.5 of the ETpathfinder Design Report\n",
    "\n",
    "Figure 6.5 of the report shows the arm-cavity waist and the beam radius on the test\n",
    "masses as the common RoC of the ITM and ETM changes, at 1550 nm. Each point below is one\n",
    "call to `from_round_trip` on a new cavity.\n",
    "\n",
    "A symmetric two-mirror cavity also has closed-form answers,\n",
    "$w_0^2 = \\frac{\\lambda}{2\\pi}\\sqrt{L(2R - L)}$ and\n",
    "$w_\\mathrm{mirror}^2 = \\frac{\\lambda L}{\\pi}\\frac{1}{\\sqrt{1 - g^2}}$ with\n",
    "$g = 1 - L/R$. They are drawn as dotted lines on top, as an independent check. The cavity\n",
    "is only stable for $R > L/2$ = 4.61 m, which is why the curves stop near 5 m."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a4034817",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:15.811005Z",
     "iopub.status.busy": "2026-10-22T18:21:15.810717Z",
     "iopub.status.idle": "2026-10-22T18:21:16.632819Z",
     "shell.execute_reply": "2026-10-22T18:21:16.631284Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "largest difference from the closed form: 7.3e-12 mm\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 700x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rocs = np.linspace(5.0, 19.0, 281) * 1e3  # mm\n",
    "waist, spot = [], []\n",
    "for roc in rocs:\n",
    "    m = eigenmode(arm_cavity(roc, roc))\n",
    "    waist.append(float(m.waist_radius))\n",
    "    spot.append(float(m.beam_radius))  # the eigenmode is evaluated on the ITM\n",
    "waist, spot = np.array(waist), np.array(spot)\n",
    "\n",
    "lam = LAMBDA * 1e-3  # mm\n",
    "g = 1 - L_ARM / rocs\n",
    "waist_closed = np.sqrt(lam / (2 * np.pi) * np.sqrt(L_ARM * (2 * rocs - L_ARM)))\n",
    "spot_closed = np.sqrt(lam * L_ARM / (np.pi * np.sqrt(1 - g**2)))\n",
    "difference = max(np.abs(waist - waist_closed).max(), np.abs(spot - spot_closed).max())\n",
    "print(f\"largest difference from the closed form: {difference:.1e} mm\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 4.5))\n",
    "ax.plot(rocs / 1e3, waist, label=\"waist\")\n",
    "ax.plot(rocs / 1e3, spot, label=\"beam @ ETM/ITM\")\n",
    "ax.plot(rocs / 1e3, waist_closed, \"k:\", linewidth=1, label=\"closed form\")\n",
    "ax.plot(rocs / 1e3, spot_closed, \"k:\", linewidth=1)\n",
    "ax.plot([14.5, 14.5], [float(mode.waist_radius), float(mode.beam_radius)], \"o\", color=\"0.3\")\n",
    "ax.annotate(\n",
    "    f\"14.5 m: waist {float(mode.waist_radius):.3f} mm,\\n\"\n",
    "    f\"beam on the test masses {float(mode.beam_radius):.2f} mm\",\n",
    "    xy=(14.5, float(mode.beam_radius)),\n",
    "    xytext=(10.2, 2.65),\n",
    "    arrowprops={\"arrowstyle\": \"->\", \"color\": \"0.3\"},\n",
    ")\n",
    "ax.set_xlabel(\"RoC (m)\")\n",
    "ax.set_ylabel(\"radius (mm)\")\n",
    "ax.set_title(\"Arm cavity beam waist and beam radius on the test masses\\n\"\n",
    "             \"(1550 nm, L = 9.22 m)\")\n",
    "ax.grid(True)\n",
    "ax.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6ffb808",
   "metadata": {},
   "source": [
    "The beam on the mirrors is smallest at the confocal point $R = L$ (about 9.2 m)\n",
    "and grows quickly towards the edge of stability at $R = L/2$, where the waist shrinks to\n",
    "zero. Optiland's eigenmodes lie on the closed-form curves everywhere.\n",
    "\n",
    "Why choose 14.5 m rather than the confocal point? The next section looks at the\n",
    "higher-order modes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87236cb7",
   "metadata": {},
   "source": [
    "## 6. Higher-order modes and the choice of RoC\n",
    "\n",
    "A Hermite-Gauss mode of order $N = m + n$ picks up $N$ times more Gouy phase per round\n",
    "trip than TEM00, so it resonates at a round-trip phase offset of $N\\psi_\\mathrm{rt}$. When\n",
    "that offset comes close to a multiple of $2\\pi$, the mode resonates together with TEM00,\n",
    "and any misalignment or mirror figure error that scatters light into it is amplified.\n",
    "Section 6.4 of the report chose the RoC to keep the low orders away from that, using the\n",
    "Finesse simulation package (its Figure 6.4).\n",
    "\n",
    "`GaussianBeamAnalysis` accumulates the Gouy phase along the legs of the round trip, so\n",
    "$\\psi_\\mathrm{rt}$ comes straight out of it. For a cavity of finesse $\\mathcal{F}$, the power\n",
    "build-up of order $N$ relative to TEM00 on resonance is the Airy function\n",
    "$1/[1 + (2\\mathcal{F}/\\pi)^2 \\sin^2(N\\psi_\\mathrm{rt}/2)]$. The design report does not\n",
    "state the finesse, so this plot uses $\\mathcal{F} \\approx 2050$ from Utina et al.\n",
    "(2022). It shows the same physics as Figure 6.4 but is not a reproduction of it.\n",
    "\n",
    "The resonances are only about 2 mm wide in RoC, so $\\psi_\\mathrm{rt}$ is computed with\n",
    "Optiland on a 20 mm grid and interpolated linearly onto a 0.2 mm grid. The interpolation\n",
    "error is a hundred times smaller than the resonance width."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c403bc32",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:16.635903Z",
     "iopub.status.busy": "2026-10-22T18:21:16.635534Z",
     "iopub.status.idle": "2026-10-22T18:21:19.951130Z",
     "shell.execute_reply": "2026-10-22T18:21:19.949386Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x450 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "FINESSE = 2050  # Utina et al. 2022; the design report does not state it\n",
    "\n",
    "coarse = np.linspace(10.0, 18.0, 401) * 1e3  # mm\n",
    "gouy_rt = []\n",
    "for roc in coarse:\n",
    "    cavity = arm_cavity(roc, roc)\n",
    "    trip = GaussianBeamAnalysis(cavity, eigenmode(cavity))\n",
    "    gouy_rt.append(float(trip.data[\"gouy_phase\"][-1]))  # Gouy phase over the round trip\n",
    "gouy_rt = np.array(gouy_rt)\n",
    "\n",
    "fine = np.linspace(10.0, 18.0, 40001) * 1e3\n",
    "psi = np.interp(fine, coarse, gouy_rt)\n",
    "airy = (2 * FINESSE / np.pi) ** 2\n",
    "\n",
    "\n",
    "def buildup(order, psi):\n",
    "    \"\"\"Power build-up of mode order N relative to TEM00 on resonance.\"\"\"\n",
    "    return 1.0 / (1.0 + airy * np.sin(order * psi / 2) ** 2)\n",
    "\n",
    "\n",
    "cmap = plt.get_cmap(\"viridis\")\n",
    "fig, axes = plt.subplots(1, 2, figsize=(12, 4.5), sharey=True, layout=\"constrained\")\n",
    "for ax, (low, high) in zip(axes, [(10.0, 18.0), (13.5, 15.5)]):\n",
    "    keep = (fine >= low * 1e3) & (fine <= high * 1e3)\n",
    "    for order in range(15):\n",
    "        ax.plot(fine[keep] / 1e3, buildup(order, psi[keep]), color=cmap(order / 14),\n",
    "                linewidth=1)\n",
    "    ax.axvspan(14.4, 14.6, color=\"0.85\", zorder=0)  # polishing tolerance ±0.1 m\n",
    "    ax.set_xlim(low, high)\n",
    "    ax.set_yscale(\"log\")\n",
    "    ax.set_ylim(3e-7, 2)\n",
    "    ax.set_xlabel(\"RoC (m)\")\n",
    "    ax.grid(True, alpha=0.4)\n",
    "axes[0].set_ylabel(\"power build-up relative to TEM00\")\n",
    "axes[0].set_title(\"ETM + ITM RoC, L = 9.22 m, finesse 2050\")\n",
    "axes[1].set_title(\"around the design value, 14.5 ± 0.1 m (gray)\")\n",
    "fig.colorbar(plt.cm.ScalarMappable(cmap=cmap, norm=plt.Normalize(0, 14)), ax=axes,\n",
    "             label=\"mode order m + n\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7dd9fad4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:19.954985Z",
     "iopub.status.busy": "2026-10-22T18:21:19.954673Z",
     "iopub.status.idle": "2026-10-22T18:21:19.964755Z",
     "shell.execute_reply": "2026-10-22T18:21:19.961812Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "round-trip Gouy phase 137.29°, transverse mode spacing 6.2001 MHz\n",
      "closest higher-order modes at 14.5 m, up to order 20:\n",
      "  order 13: -15.22° from TEM00,   87 linewidths, 0.687 MHz\n",
      "  order  8: +18.33° from TEM00,  104 linewidths, 0.828 MHz\n",
      "  order  5: -33.55° from TEM00,  191 linewidths, 1.515 MHz\n"
     ]
    }
   ],
   "source": [
    "psi_design = float(round_trip.data[\"gouy_phase\"][-1])\n",
    "fsr = 299_792_458.0 / (2 * L_ARM * 1e-3)  # free spectral range in Hz\n",
    "linewidth = 2 * np.pi / FINESSE           # in round-trip phase\n",
    "print(\n",
    "    f\"round-trip Gouy phase {math.degrees(psi_design):.2f}°, transverse mode spacing \"\n",
    "    f\"{fsr * psi_design / (2 * np.pi) / 1e6:.4f} MHz\"\n",
    ")\n",
    "print(\"closest higher-order modes at 14.5 m, up to order 20:\")\n",
    "offsets = []\n",
    "for order in range(1, 21):\n",
    "    offset = (order * psi_design + np.pi) % (2 * np.pi) - np.pi\n",
    "    offsets.append((abs(offset), order, offset))\n",
    "for _, order, offset in sorted(offsets)[:3]:\n",
    "    print(\n",
    "        f\"  order {order:2d}: {math.degrees(offset):+6.2f}° from TEM00, \"\n",
    "        f\"{abs(offset) / linewidth:4.0f} linewidths, \"\n",
    "        f\"{fsr * abs(offset) / (2 * np.pi) / 1e6:.3f} MHz\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a57a9ede",
   "metadata": {},
   "source": [
    "At 14.5 m the closest mode up to order 20 is order 13, 87 linewidths away from\n",
    "TEM00. In the zoomed panel, order 13 resonates at 14.29 m and order 8 at 14.94 m, on\n",
    "either side of the design value, and the ±0.1 m polishing tolerance (gray band) stays\n",
    "clear of both. That is the conclusion the report draws from its Figure 6.4. At the\n",
    "confocal point (9.22 m, just left of the plotted range) every even order resonates\n",
    "together with TEM00, which is why a confocal arm is avoided."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "baff0a33",
   "metadata": {},
   "source": [
    "## 7. Leaving the cavity through a silicon test mass\n",
    "\n",
    "The report notes that silicon's high refractive index (about 3.45 at 1550 nm) makes the\n",
    "test masses \"surprisingly strong diverging lenses\", so their anti-reflective (AR) side\n",
    "has to be curved too. The beam that leaves the arm through the ITM is easy to follow\n",
    "with the same analysis. Start from the cavity waist, $L/2$ before the ITM's reflective\n",
    "(HR) face, then go through 80 mm of silicon (`IdealMaterial(n=3.45)`) and the AR\n",
    "surface. The beam travels in +z, so a convex AR surface has a negative radius.\n",
    "\n",
    "Compare three AR surfaces: a flat one, the convex 9.0 m radius of Utina et al. (2022),\n",
    "and the radius that collimates the beam exactly (waist on the AR surface), found with\n",
    "`scipy.optimize.brentq`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5dce5512",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:19.970249Z",
     "iopub.status.busy": "2026-10-22T18:21:19.969883Z",
     "iopub.status.idle": "2026-10-22T18:21:20.266855Z",
     "shell.execute_reply": "2026-10-22T18:21:20.265129Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "flat AR surface                        waist 0.864 mm at -3.584 m\n",
      "convex AR, R = 9.0 m                   waist 2.095 mm at +3.148 m\n",
      "convex AR, R = 10.34 m (collimating)   waist 2.222 mm at +0.000 m\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N_SI = 3.45       # silicon at 1550 nm, as in the design report\n",
    "THICKNESS = 80.0  # mm\n",
    "\n",
    "\n",
    "def itm_exit(ar_radius, n=N_SI):\n",
    "    \"\"\"The beam just after the ITM's AR surface, leaving the arm cavity.\"\"\"\n",
    "    itm = Optic(name=\"ETpathfinder ITM, cavity side first\")\n",
    "    itm.surfaces.add(index=0, thickness=be.inf)\n",
    "    itm.surfaces.add(index=1, radius=-ROC, thickness=THICKNESS,  # HR, concave to the cavity\n",
    "                     material=IdealMaterial(n=n), is_stop=True)\n",
    "    itm.surfaces.add(index=2, radius=ar_radius, thickness=1000.0)  # AR surface\n",
    "    itm.surfaces.add(index=3)\n",
    "    itm.set_aperture(aperture_type=\"EPD\", value=10.0)\n",
    "    itm.fields.set_type(\"angle\")\n",
    "    itm.fields.add(y=0.0)\n",
    "    itm.wavelengths.add(value=LAMBDA, is_primary=True)\n",
    "    leaving = GaussianBeam.from_waist(mode.waist_radius, -L_ARM / 2, wavelength=LAMBDA)\n",
    "    return GaussianBeamAnalysis(itm, leaving).beam_at(2, \"after\")\n",
    "\n",
    "\n",
    "collimating = brentq(lambda r: float(itm_exit(r).waist_position), -20000.0, -6000.0,\n",
    "                     xtol=1e-6)\n",
    "ar_options = {\n",
    "    \"flat AR surface\": be.inf,\n",
    "    \"convex AR, R = 9.0 m\": -9000.0,\n",
    "    f\"convex AR, R = {abs(collimating) / 1e3:.2f} m (collimating)\": collimating,\n",
    "}\n",
    "\n",
    "distance = np.linspace(0.0, 25000.0, 501)  # mm after the AR surface\n",
    "fig, ax = plt.subplots(figsize=(8, 4.5))\n",
    "for label, ar_radius in ar_options.items():\n",
    "    out = itm_exit(ar_radius)\n",
    "    radius = be.to_numpy(out.propagate(distance).beam_radius)\n",
    "    ax.plot(distance / 1e3, radius, label=label)\n",
    "    waist_at = round(float(out.waist_position) / 1e3, 3) + 0.0  # avoid printing -0.000\n",
    "    print(f\"{label:38s} waist {float(out.waist_radius):.3f} mm at {waist_at:+.3f} m\")\n",
    "ax.set_xlabel(\"distance after the ITM's AR surface (m)\")\n",
    "ax.set_ylabel(\"beam radius (mm)\")\n",
    "ax.set_ylim(0, None)\n",
    "ax.set_title(\"Beam leaving the arm through the silicon ITM (1550 nm, n = 3.45, 80 mm)\")\n",
    "ax.grid(True)\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26c5a459",
   "metadata": {},
   "source": [
    "With a flat AR side the test mass is a negative lens of focal length about\n",
    "$-R/(n - 1) \\approx -5.9$ m, and the beam leaves strongly diverging. A convex AR surface\n",
    "with a radius close to that of the HR side compensates it. The exactly collimating radius\n",
    "depends on the index: about 10.34 m at the report's $n$ = 3.45, against 10.40 m at the\n",
    "paper's 3.5, so the substrate index matters at the 10 cm level.\n",
    "\n",
    "The same lens matters for the input optics. The beam to inject is the exit beam run\n",
    "backwards. A beam matched to the bare cavity mode, as if the substrate were not there,\n",
    "couples noticeably worse:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a4ad1d6e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T18:21:20.270346Z",
     "iopub.status.busy": "2026-10-22T18:21:20.269992Z",
     "iopub.status.idle": "2026-10-22T18:21:20.288156Z",
     "shell.execute_reply": "2026-10-22T18:21:20.286269Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "exit beam run backwards          mode matching η = 1.0000\n",
      "matched to the bare cavity mode  mode matching η = 0.8924\n"
     ]
    }
   ],
   "source": [
    "def injected(beam, ar_radius, n=N_SI):\n",
    "    \"\"\"A beam sent into the arm through the ITM, just inside the cavity.\"\"\"\n",
    "    itm = Optic(name=\"ETpathfinder ITM, outside first\")\n",
    "    itm.surfaces.add(index=0, thickness=be.inf)\n",
    "    itm.surfaces.add(index=1, radius=-ar_radius, thickness=THICKNESS,  # AR surface\n",
    "                     material=IdealMaterial(n=n), is_stop=True)\n",
    "    itm.surfaces.add(index=2, radius=ROC, thickness=100.0)  # HR, concave to the cavity\n",
    "    itm.surfaces.add(index=3)\n",
    "    itm.set_aperture(aperture_type=\"EPD\", value=10.0)\n",
    "    itm.fields.set_type(\"angle\")\n",
    "    itm.fields.add(y=0.0)\n",
    "    itm.wavelengths.add(value=LAMBDA, is_primary=True)\n",
    "    return GaussianBeamAnalysis(itm, beam).beam_at(2, \"after\")\n",
    "\n",
    "\n",
    "cavity_mode_at_itm = GaussianBeam.from_waist(mode.waist_radius, L_ARM / 2,\n",
    "                                             wavelength=LAMBDA)\n",
    "exit_beam = itm_exit(collimating)\n",
    "reversed_exit = GaussianBeam.from_waist(exit_beam.waist_radius,\n",
    "                                        -exit_beam.waist_position, wavelength=LAMBDA)\n",
    "bare_match = GaussianBeam.from_waist(mode.waist_radius, L_ARM / 2 + THICKNESS,\n",
    "                                     wavelength=LAMBDA)\n",
    "for label, beam in ((\"exit beam run backwards\", reversed_exit),\n",
    "                    (\"matched to the bare cavity mode\", bare_match)):\n",
    "    eta = injected(beam, collimating).overlap(cavity_mode_at_itm)\n",
    "    print(f\"{label:32s} mode matching η = {float(eta):.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21d26bc0",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "- `GaussianBeam.from_waist` creates a beam. `beam_radius`, `waist_radius`,\n",
    "  `waist_position`, `curvature`, `divergence` and `gouy_phase` describe it, and\n",
    "  `propagate` moves it through free space.\n",
    "- `GaussianBeamAnalysis(optic, beam)` carries it through a system. Use `beam_at` for the\n",
    "  beam at a surface, `data[\"gouy_phase\"]` for the accumulated Gouy phase and `view()` for\n",
    "  the envelope.\n",
    "- `overlap` gives the mode-matching efficiency between two TEM00 beams. Because it is a\n",
    "  plain function of the system, any optimizer can maximize it.\n",
    "- `from_round_trip` gives the eigenmode of a stable resonator from its round-trip\n",
    "  matrix. With it you reproduced Figure 6.5 of the ETpathfinder Design Report, examined\n",
    "  the higher-order-mode spectrum behind the choice of RoC, and followed the beam out\n",
    "  through the silicon test mass.\n",
    "\n",
    "The model is paraxial and rotationally symmetric. A powered mirror used at oblique\n",
    "incidence emits a `ParaxialDomainWarning`, because its astigmatism is ignored, and\n",
    "systems outside the first-order engine's domain raise an error, exactly as in the rest of\n",
    "the paraxial API. `GaussianBeam` and `GaussianBeamAnalysis` also work on the PyTorch backend,\n",
    "where gradients of the beam with respect to surface radii and thicknesses are\n",
    "available (see [Tutorial 7a](Tutorial_7a_Differentiable_Ray_Tracing_Hello_World.ipynb)\n",
    "for the backend).\n",
    "\n",
    "## References\n",
    "\n",
    "1. ETpathfinder Team, *ETpathfinder Design Report* (2020), Section 6.4, Figures 6.4 and\n",
    "   6.5. https://www.etpathfinder.eu/wp-content/uploads/2020/03/ETpathfinder-Design-Report.pdf\n",
    "2. A. Utina et al., \"ETpathfinder: a cryogenic testbed for interferometric\n",
    "   gravitational-wave detectors\", *Class. Quantum Grav.* **39**, 215008 (2022).\n",
    "3. H. Kogelnik and T. Li, \"Laser beams and resonators\", *Appl. Opt.* **5**, 1550 (1966).\n",
    "4. S. A. Self, \"Focusing of spherical Gaussian beams\", *Appl. Opt.* **22**, 658 (1983)."
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