{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Getting started" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's start by importing all the pacakges. If error occurs, please make sure to run `pip install -r requirements.txt`, file which can be find at the root of this repository" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "************************************************************\n", "Julia solver:\n", "/Users/greg/Documents/Lib/pyLLE_GitHub/pyLLE/ComputeLLE.jl\n", "************************************************************\n" ] } ], "source": [ "import os \n", "import sys\n", "import inspect\n", "\n", "currentdir = os.getcwd()\n", "parentdir = os.path.dirname(currentdir)\n", "sys.path.insert(0, parentdir) \n", "\n", "import pyLLE\n", "import numpy as np\n", "from scipy import constants as cts\n", "import pandas as pd\n", "import pickle as pkl\n", "import plotly.graph_objs as go\n", "import plotly.graph_objs\n", "import plotly.io as pio\n", "import time\n", "pio.renderers.default = \"notebook\"\n", "pio.templates.default = \"seaborn\"" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Here we will define the parameters. 2 dictionaries are needed, the resonator and the simulations. Novelty of the version 4 is that the pump power and the pump frequency can be lists to simulate a multi pump system: " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "res = dict(\n", " R=23e-6, \n", " Qi=1e6, \n", " Qc=1e6, \n", " γ=3.2, \n", " dispfile=\"./RW1000_H430.csv\"\n", ")\n", "\n", "sim = dict(\n", " Pin=[140e-3], \n", " f_pmp=[283e12],\n", " φ_pmp=[0], \n", " δω=[None], \n", " Tscan=0.7e6,\n", " μ_sim=[-220, 220],\n", " δω_init= 1e9 * 2 * np.pi,\n", " δω_end= -6.5e9 * 2 * np.pi,\n", " num_probe = 5000, \n", ")\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The dispersion file which is available in the example folder is essentially a 2D column coma-separated-value (CSV) file that contain in the first column the azimuthal mode number and in the second the corresponding frequency of resonance. The value of the azimuthal mode number doesn't matter much given it is only to retrieve the effective refractive index and the LLE works in normalized mode number µ (normalized ot the pump). Therefore, as long as the mode number are monotonically increasing by 1, it is all good" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Next step is to initialize the solver. Like in previous version, we do the same: " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "solver = pyLLE.LLEsolver(sim=sim, res=res,debug=False)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We need to analyze the linear dispersion of the resonator:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "legendgroup": "Pump #0", "mode": "markers", "name": "FEM Simulation", "type": "scatter", "uid": "747be463-8002-4167-8f7e-9de307e6afe8", "x": [ 147.1753734878108, 148.35415505615168, 149.52034984112825, 150.67402338112115, 151.81561406523136, 152.94577869344576, 154.06525367340717, 155.17476986570108, 156.2750170386844, 157.36664190214307, 158.4502644764182, 159.5265024221254, 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