{ "cells": [ { "cell_type": "markdown", "id": "0a25101c-0921-4492-b920-db2698b0c4fb", "metadata": {}, "source": [ "# Compute exponential growth from SPARK3D\n", "This script showcases how the exponential growth factor from a bunch of SPARK3D simulations can be calculated.\n", "The original data can be manually exported from SPARK3D, or automatically generated (command line SPARK3D)." ] }, { "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: 2.0.1.dev22+g1f37471.d20250203, Commit: 28c1c760d62f7c4764c2f184225d1fd6853764bb\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": [], "source": [ "factory = SimulationsResultsFactory(\"SPARK3D\", 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 file holding the results. Check [dedicated documentation](https://simultipac.readthedocs.io/en/latest/simultipac/simultipac.spark3d.simulation_results.html#simultipac.spark3d.simulation_results.Spark3DResultsFactory.from_file) for the format of the results file.\n", "2. The accelerating fields in V/m.\n", "\n", "
\n", " As for now, it is not possible to provide the RMS power instead of the accelerating field.\n", " It is a very straightforward implementation, but I never had the use for it.\n", "
" ] }, { "cell_type": "code", "execution_count": 3, "id": "84eb6266-0f02-4c96-8804-151015f788a3", "metadata": {}, "outputs": [], "source": [ "results: SimulationsResults = factory.create(\n", " filepath=Path(\"../../../examples/spark/time_results.csv\"),\n", " e_acc=np.linspace(1e6, 3e7, 30),\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, 16th and 26th 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, 15, 25)\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 useless with SPARK3D, as there are only 1 or 2 points per RF period." ] }, { "cell_type": "code", "execution_count": 5, "id": "97bef8eb-1684-4c04-9b65-52849d0b2038", "metadata": {}, "outputs": [], "source": [ "results.fit_alpha(fitting_periods=20, running_mean=False)" ] }, { "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 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 with:" ] }, { "cell_type": "code", "execution_count": 7, "id": "c16994e7-3a57-4ba8-8e7a-bb9b91a3fbe2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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