From 54de099e464e303830cc45df7999bf609dd4aff6 Mon Sep 17 00:00:00 2001 From: Edoardo Vergerio Date: Thu, 4 Jun 2026 14:29:31 +0200 Subject: [PATCH] added fiber_modes.ipynb useful utility to compute fiber modes --- fiber_modes.ipynb | 112 ++++++++++++++++++++++++++++++++++++++++++++++ misc/unipd.png | Bin 0 -> 22855 bytes 2 files changed, 112 insertions(+) create mode 100644 fiber_modes.ipynb create mode 100644 misc/unipd.png diff --git a/fiber_modes.ipynb b/fiber_modes.ipynb new file mode 100644 index 0000000..7e1e796 --- /dev/null +++ b/fiber_modes.ipynb @@ -0,0 +1,112 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 17, + "id": "9047df66", + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import scipy\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import ofiber" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "598ecadf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "V = 3.8\n", + "ell = 0\n", + "plt.subplots(1, 2, figsize=(10, 4))\n", + "plt.subplot(1, 2, 1)\n", + "aplt = ofiber.plot_LP_modes(V, ell)\n", + "plt.subplot(1, 2, 2)\n", + "ell = 1\n", + "\n", + "aplt = ofiber.plot_LP_modes(V, ell)\n", + "aplt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "67132f9f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplots(figsize=(8,4.5))\n", + "r_over_a = np.linspace(-1.2, 1.2, 100)\n", + "\n", + "for ell in range(3):\n", + " for em in range(1,2):\n", + " b = ofiber.LP_mode_value(V, ell, em)\n", + " if b is None:\n", + " continue\n", + " irradiance = ofiber.LP_radial_irradiance(V, b, ell, r_over_a)\n", + " i = np.argmax(irradiance)\n", + "\n", + " plt.plot(r_over_a, irradiance)\n", + " plt.annotate(r\" LP$_{%d%d}$\" % (ell,em), xy=(r_over_a[i],irradiance[i]), va=\"bottom\", ha=\"center\")\n", + "\n", + "plt.xlabel(\"r / r$_{core}$\")\n", + "plt.ylabel(\"Normalized Irradiance\")\n", + "plt.plot([-1, -1], [0, 5], \":k\")\n", + "plt.plot([1, 1], [0, 5], \":k\")\n", + "plt.axvspan(-1, 1, color=\"cyan\", alpha=0.5)\n", + "plt.title(\"Step-index fiber, V=%.2f\" % V)\n", + "plt.ylim(0, 5)\n", + "plt.xlim(-1.2, 1.2)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "mp", + 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