{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook covers the pre-defined spectral models available for light curve simulation. Specifically, the notebook describes the meaning of different parameters that describe these models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import relevant stingray libraries." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from stingray.simulator import simulator, models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import pyplot from matplotlib for plotting light curves." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Power Spectral Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Currently, stingray has two spectral models namely generalized lorenzian function and smooth broken power law function. More models might be added in future, but, as explained in the rest of the section, Astropy models can be used to create most power spectral shapes one might be interested in." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generalized Lorenzian Function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apart from the frequencies, the lorenzian function needs the following parameters specified.\n", "\n", " p: iterable\n", " p[0] = peak centeral frequency\n", " p[1] = FWHM of the peak (gamma)\n", " p[2] = peak value at x=x0\n", " p[3] = power coefficient [n]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Smooth Broken Power Law Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apart from the frequencies which need to be passed as a numpy array, smooth broken power law needs the following parameters specified.\n", "\n", " p: iterable\n", " p[0] = normalization frequency\n", " p[1] = power law index for f --> zero\n", " p[2] = power law index for f --> infinity\n", " p[3] = break frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Light Curve Simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These models can be imported while simulating lightcurve(s)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sim = simulator.Simulator(N=1024, mean=0.5, dt=0.125, rms=0.2)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.simulate('generalized_lorentzian', [1.5, .2, 1.2, 1.4])\n", "plt.plot(lc.counts[1:400])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.simulate('smoothbknpo', [.6, 0.9, .2, 4])\n", "plt.plot(lc.counts[1:400])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 1 }