{ "cells": [ { "cell_type": "markdown", "id": "0a25101c-0921-4492-b920-db2698b0c4fb", "metadata": {}, "source": [ "# Compute exponential growth from CST\n", "This script showcases how the exponential growth factor from a bunch of CST simulations can be calculated." ] }, { "cell_type": "markdown", "id": "b8208fa8-5339-472e-9c8e-80e819d010b8", "metadata": {}, "source": [ "## Pre-requisites\n", "Import some objects:" ] }, { "cell_type": "code", "execution_count": 1, "id": "92d8869a-06f9-4459-9561-e585636d9284", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;37m[INFO ] [log_manager.py ]\u001b[0m Starting log for Simultipac - Version: 2.0.1rc1.dev1+ga19711d.d20250408, Commit: f43dd67ceb1c7530f77719dbdd2b3b515d921c0f\n" ] } ], "source": [ "from pathlib import Path\n", "\n", "import numpy as np\n", "\n", "from simultipac.simulation_results.simulations_results import (\n", " SimulationsResults,\n", " SimulationsResultsFactory,\n", ")" ] }, { "cell_type": "markdown", "id": "384e3874-2795-4b13-b5fc-620d6f5c0a89", "metadata": {}, "source": [ "## Loading the data\n", "The factory is used to create the SimulationsResults objects. You will need to provide the RF frequency in GHz." ] }, { "cell_type": "code", "execution_count": 2, "id": "630d875b-c953-4695-a38b-755d5b00a3bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;37m[INFO ] [singleton.py ]\u001b[0m Called __call__ (None)\n" ] } ], "source": [ "factory = SimulationsResultsFactory(\"CST\", freq_ghz=1.30145)" ] }, { "cell_type": "markdown", "id": "97e8f7e4-45ab-435b-b5fb-7daba033fb77", "metadata": {}, "source": [ "The SimulationsResults object will hold all the data. You must provide:\n", "1. The path to the folder holding the results. Check [dedicated documentation](https://simultipac.readthedocs.io/en/latest/simultipac/simultipac.cst.simulation_results.html#simultipac.cst.simulation_results.CSTResultsFactory.from_simulation_folders) for the format of the results folder." ] }, { "cell_type": "code", "execution_count": 3, "id": "84eb6266-0f02-4c96-8804-151015f788a3", "metadata": {}, "outputs": [], "source": [ "results: SimulationsResults = factory.create(\n", " master_folder=Path(\"../../../examples/cst/Export_Parametric\"),\n", ")" ] }, { "cell_type": "markdown", "id": "5b6fd26a-ed3a-4cc9-bcbc-009e146e75ff", "metadata": {}, "source": [ "You can visualize the evolution of the population with the SimulationsResults.plot method.\n", "Here, we only plot the first, 6th and 91th simulations." ] }, { "cell_type": "code", "execution_count": 4, "id": "e1f1b03d-b270-4291-afcb-772deaa2ae2f", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idx_to_plot = (0, 5, 90)\n", "pop_axes = results.plot(x=\"time\", y=\"population\", idx_to_plot=idx_to_plot, alpha=0.7)\n", "pop_axes.set_yscale(\"log\")" ] }, { "cell_type": "markdown", "id": "8ce83cf7-fc9e-45fe-8119-84839c5a722e", "metadata": {}, "source": [ "## Calculating exponential growth factor\n", "The running mean keyword allows to average the evolution of the population over a RF period. It is recommended with CST, as there are many points per RF period." ] }, { "cell_type": "code", "execution_count": 5, "id": "97bef8eb-1684-4c04-9b65-52849d0b2038", "metadata": {}, "outputs": [], "source": [ "results.fit_alpha(fitting_periods=5, minimum_final_number_of_electrons=5, running_mean=True)" ] }, { "cell_type": "markdown", "id": "4de649d6-1abd-4af2-85a3-ceb1437ed2e0", "metadata": {}, "source": [ "The modelled population can be plotted with:" ] }, { "cell_type": "code", "execution_count": 6, "id": "05621206-dc0d-4be3-947f-4686cdfa503b", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pop_axes = results.plot(\n", " x=\"time\",\n", " y=\"modelled_population\",\n", " idx_to_plot=idx_to_plot,\n", " axes=pop_axes,\n", " lw=3,\n", " ls=\"--\",\n", ")\n", "# Trick to force display of previously plotted figure\n", "fig = pop_axes.get_figure()\n", "fig" ] }, { "cell_type": "markdown", "id": "3e29bebf-f722-42c9-8d45-5ecc0786b4a5", "metadata": {}, "source": [ "You can also plot the evolution of the exponential growth factor.\n", "Note that there parametric plot are supported; the keys in `sort_by_parameter` arguments must be present in the `mmdd_xxxxxxx/Parameters.txt` files." ] }, { "cell_type": "code", "execution_count": 7, "id": "c16994e7-3a57-4ba8-8e7a-bb9b91a3fbe2", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_axes = results.plot(x=\"e_acc\", y=\"alpha\", sort_by_parameter=(\"size_cell\",\"N_0\"))" ] }, { "cell_type": "markdown", "id": "f7bc6961-a289-4318-afe5-eeed396ddd7e", "metadata": {}, "source": [ "In these simulations, `N_0` was the initial number of electrons. Here, `N_0 = 1000` appears to be the minimum number for convergence of results." ] } ], "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }