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MZI Explainer
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "e81421e4-1cc5-4074-93f7-d39fb411e794", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "\n", | |
| "data = np.load('mzi_calibration_all.npz')\n", | |
| "fit = np.poly1d(data['mzi_fit_coefficients'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "id": "25e2e7ed-7730-464e-b2c3-a7f783da9f01", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "c = 299792458\n", | |
| "\n", | |
| "mns = np.linspace(-4e6,1e6)\n", | |
| "\n", | |
| "roots = (fit - c / 1550e-9).roots\n", | |
| "roots = roots[np.isreal(roots)].real\n", | |
| "center_mode = roots[np.argmin(np.abs(roots))]\n", | |
| "\n", | |
| "fsr_1550 = fit.deriv()(center_mode)\n", | |
| "n_1550 = 1.4620 # from corning\n", | |
| "L = c / ( n_1550 * fsr_1550 )" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "id": "2be6d91a-f5e8-4057-8a8b-e30d403f6413", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import matplotlib.pyplot as plt\n", | |
| "\n", | |
| "k_error = []\n", | |
| "order = list(range(3,10))\n", | |
| "for k in order:\n", | |
| " _,R,_,_,_ = np.polyfit(fit(mns), mns, k, full=True)\n", | |
| " k_error.append(R)\n", | |
| "# plt.plot(order, k_error)\n", | |
| "# plt.title('Fit inverse error (ignore this)')\n", | |
| "# plt.show()\n", | |
| "\n", | |
| "fit_inverse = np.poly1d(np.polyfit(fit(mns), mns, 5))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "id": "b428eb04-cbeb-4857-8273-6e96f4bd8f9c", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/var/folders/00/ljm0kfhn4fj5k8p84fdc4wd00000gn/T/ipykernel_73144/3910532910.py:5: RuntimeWarning: divide by zero encountered in divide\n", | |
| " freq2wl = lambda f: 1e9 * c / f\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots()\n", | |
| "\n", | |
| "ax.plot(mns, 1e9 * 2.998e8 / fit(mns), label='fit')\n", | |
| "\n", | |
| "freq2wl = lambda f: 1e9 * c / f\n", | |
| "wl2freq = lambda wl: c / (wl * 1e-9)\n", | |
| "ax_wl = ax.secondary_yaxis('right', functions=(wl2freq, freq2wl))\n", | |
| "ax_wl.set_ylabel('Frequency (Hz)')\n", | |
| "\n", | |
| "ax.axvline(center_mode, color='r', linestyle=':', label=f'1550nm mode: {center_mode:.0f}')\n", | |
| "ax.axhline(1550, color='r', linestyle=':')\n", | |
| "\n", | |
| "ax.set_title('MZI Frequency vs Mode Number')\n", | |
| "ax.set_xlabel('Mode Numbers')\n", | |
| "ax.set_ylabel('Wavelength (nm)')\n", | |
| "ax.legend()\n", | |
| "plt.show()\n", | |
| "\n", | |
| "fig, ax = plt.subplots()\n", | |
| "ax.plot(mns, fit.deriv()(mns) / 1e6)\n", | |
| "ax.set_xlabel('Mode Numbers')\n", | |
| "\n", | |
| "ax_freq = ax.secondary_xaxis(-0.15, functions=(fit, fit_inverse))\n", | |
| "ax_freq.set_xlabel('Mode Frequency')\n", | |
| "\n", | |
| "ax.set_title('MZI FSR vs Mode Number')\n", | |
| "ax.set_ylabel('FSR (MHz)')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "id": "d458c5bc-fbb8-429d-8b85-49d1350ea322", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "mns = np.linspace(-4e6,1e6)\n", | |
| "\n", | |
| "beta_1 = 1 / (L * fit.deriv()(mns))\n", | |
| "beta_2 = -1 / (2 * np.pi * L * fit.deriv()(mns) ** 3) * fit.deriv(2)(mns) # s^2 / m\n", | |
| "D_lambda = -2 * np.pi * c / ( c / fit(mns) ) ** 2 * beta_2 * 1e6\n", | |
| "\n", | |
| "plt.plot(1550, 18, 'y*')\n", | |
| "plt.plot(1625, 22, 'y*', label='Dispersion Reference (from Corning)')\n", | |
| "plt.axhline(0, color='k', linestyle='--', linewidth=0.5)\n", | |
| "plt.plot([1300, 1324], [0, 0], 'r', linewidth=3, label='Zero Dispersion Range (from Corning)')\n", | |
| "plt.plot(1e9 * c / fit(mns), D_lambda)\n", | |
| "plt.title('Dispersion')\n", | |
| "plt.ylabel('$D_{\\\\lambda}$ (ps/(km nm))')\n", | |
| "plt.xlabel('Wavelength (nm)')\n", | |
| "plt.legend()\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "61c7918e-f307-4c73-ba3d-c2898a0fb435", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3 (ipykernel)", | |
| "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": "3.13.1" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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