{ "cells": [ { "cell_type": "markdown", "id": "9913d9b0", "metadata": {}, "source": [ "# 2. Vortex coronagraph\n", "\n", "Drop a `vortex` coronagraph into the chain. The reference PSF used for Strehl normalization is always generated with the coronagraph bypassed (matches the legacy convention). This tutorial loads the fixture config that reproduces the original VortexCoronagraph(2) setup against a Keck aperture (HCIPy built-in)." ] }, { "cell_type": "code", "execution_count": 1, "id": "b16a0198", "metadata": { "execution": { "iopub.execute_input": "2026-05-22T01:41:46.096915Z", "iopub.status.busy": "2026-05-22T01:41:46.096703Z", "iopub.status.idle": "2026-05-22T01:41:48.003028Z", "shell.execute_reply": "2026-05-22T01:41:48.002623Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "psf shape: (64, 64) peak/min: 1.0 3.96912720616766e-06\n", "pupil_opd RMS (nm): 0.0\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import hcipy\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from telescope_sim import TelescopeSim\n", "\n", "sim = TelescopeSim.from_yaml(\"fixtures/configs/07_coro_original.yaml\")\n", "out = sim.sample(meas_pupil_opd=True)\n", "psf = out[\"images\"][\"psf\"][..., 0]\n", "print(\"psf shape:\", psf.shape, \" peak/min:\", psf.max(), psf.min())\n", "print('pupil_opd RMS (nm):', 1e9 * out['pupil_opd'].std())\n", "\n", "# Pupil OPD (left) is ~0 at rest — Keck aperture transmits perfectly\n", "# in-band. Even so, the coronagraph nulls the on-axis PSF (right).\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "opd_nm = hcipy.Field(\n", " 1e9 * np.asarray(out['pupil_opd']), out['pupil_opd'].grid\n", ")\n", "plt.sca(axes[0])\n", "im0 = hcipy.imshow_field(\n", " opd_nm, mask=sim.aperture.field, cmap='RdBu_r'\n", ")\n", "axes[0].set_title('cumulative pupil OPD')\n", "axes[0].set_axis_off()\n", "fig.colorbar(im0, ax=axes[0], shrink=0.7, label='OPD [nm]')\n", "im1 = axes[1].imshow(psf, cmap='inferno')\n", "axes[1].set_title('Vortex coronagraph @ rest (Keck, charge=2)')\n", "axes[1].set_axis_off()\n", "fig.colorbar(im1, ax=axes[1], shrink=0.7, label='post-coro intensity')\n", "plt.tight_layout()\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }