{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", "**This is a fixed-text formatted version of a Jupyter notebook.**\n", "\n", " You can contribute with your own notebooks in this\n", " [GitHub repository](https://github.com/gammapy/gammapy-extra/tree/master/notebooks).\n", "\n", "**Source files:**\n", "[source_population_model.ipynb](../_static/notebooks/source_population_model.ipynb) |\n", "[source_population_model.py](../_static/notebooks/source_population_model.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Astrophysical source population modeling with Gammapy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "The [gammapy.astro.population](http://docs.gammapy.org/dev/astro/population/index.html) package contains some simple Galactic source population models.\n", "\n", "Here we provide some Python code to compute observable parameter distributions for Galactic gamma-ray source populations.\n", "\n", "* Observables: Flux, GLON, GLAT\n", "* Source classes: Pulsar (PSR), Supernova remnant (SNR), pulsar wind nebula (PWN)\n", "\n", "References:\n", "\n", "* Section 6.2 in the Fermi-LAT collaboration paper [\"The First Fermi-LAT Catalog of Sources Above 10 GeV\"](http://adsabs.harvard.edu/abs/2013arXiv1306.6772T)\n", "* Axel Donath's bachelor thesis [\"Modelling Galactic gamma-ray source populations\"](http://pubman.mpdl.mpg.de/pubman/item/escidoc:912132:1/component/escidoc:912131/BScThesis_ddonath.pdf), specifically Chapter 4.\n", "* Casanova & Dingus (2008), [\"Constraints on the TeV source population and its contribution to the galactic diffuse TeV emission\"](http://adsabs.harvard.edu/abs/2008APh....29...63C)\n", "* Strong (2007), [\"Source population synthesis and the Galactic diffuse gamma-ray emission\"](http://adsabs.harvard.edu/abs/2007Ap%26SS.309...35S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import astropy.units as u\n", "from gammapy.utils.random import sample_powerlaw\n", "from gammapy.astro import population" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate positions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Spatial distribution using Lorimer (2006) model\n", "n_sources = int(1e5)\n", "\n", "table = population.make_base_catalog_galactic(\n", " n_sources=n_sources,\n", " rad_dis='L06',\n", " vel_dis='F06B',\n", " max_age=1e6 * u.yr,\n", " spiralarms=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate luminosities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Several source population models, e.g. the 1FHL paper or Strong (2007), use power-law luminosity functions.\n", "\n", "Here we implement the \"reference model\" from the 1FHL catalog paper section 6.2." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Source luminosity (ph s^-1)\n", "\n", "luminosity = sample_powerlaw(\n", " x_min=1e34,\n", " x_max=1e37,\n", " gamma=1.5,\n", " size=n_sources,\n", ")\n", "table['luminosity'] = luminosity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute observable parameters" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " name dtype unit description \n", "---------- ------- --------- --------------------------------------\n", " age float64 yr Age of the source\n", " n_ISM float64 1 / cm3 Interstellar medium density\n", " spiralarm str18 Which spiralarm?\n", " x_birth float64 kpc Galactocentric x coordinate at birth\n", " y_birth float64 kpc Galactocentric y coordinate at birth\n", " z_birth float64 kpc Galactocentric z coordinate at birth\n", " x float64 kpc Galactocentric x coordinate\n", " y float64 kpc Galactocentric y coordinate\n", " z float64 kpc Galactocentric z coordinate\n", " vx float64 km / s Galactocentric velocity in x direction\n", " vy float64 km / s Galactocentric velocity in y direction\n", " vz float64 km / s Galactocentric velocity in z direction\n", " v_abs float64 km / s Galactocentric velocity (absolute)\n", "luminosity float64 \n", " distance float64 pc Distance observer to source center\n", " GLON float64 deg Galactic longitude\n", " GLAT float64 deg Galactic latitude\n", " VGLON float64 deg / Myr Velocity in Galactic longitude\n", " VGLAT float64 deg / Myr Velocity in Galactic latitude\n", " RA float64 deg Right ascension\n", " DEC float64 deg Declination\n", " flux float64 1 / kpc2 Source flux\n" ] } ], "source": [ "table = population.add_observed_parameters(table)\n", "table.info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Check output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simulation is done, you could save the simulated catalog to a file.\n", "\n", "Here we just plot a few distributions to check if the results look OK." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { 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UJZdUrEjr9gS1HQ8PVTGx5UYc33YTjm+7CeNfuBHz+tyT8YKMIyxRzYG06yXlEdHwEyZL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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(table['x'][:1000], table['y'][:1000]);" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(table['GLAT'], bins=100, log=True);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(table['GLON'][:1000], table['GLAT'][:1000]);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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k5nPVH+j/ATfRXy4w/jxeoN8SOWXFeCMi4lT6wfjFzPy7ariTy2S1uXR1uVS1/wi4l36P\nfthzv1Jv9fMZ+m3Fjfnbr3sjRdNf9M+KdZT+houXN1K8ve26VtT4BuBNA5f/iX5v/S84cePZZ6rL\nl3PixrMHq/Ezge/T33B2RnX5zA2aww5O3IhZW+30zzf8bl7d8HfZBs7j7IHLf0S/Pwrwdk7cKHaU\n/gaxoa834MucuOHtIw3NIej3zT+7Yrxzy2SNuXRquQBnAW+uLv8U8E3gimHPDXyUEzfG3r7e+a2r\n3qb+wJr8or9XwXfp98Q+3nY9q9R3frVgHgEef7lG+j25bwBPVd9f/iML4IZqPt8BegOP9Xv0N9As\nAh/aoPpvo//v8//SX7O4ss7agR7wWHWf66k+uLdB8/jbqs5H6Z/MfjBgPl7V9CQDe50Me71Vy/nB\nan5fBk5vaB6/Sv/f9keBh6uvyzq6TIbNpVPLBfgF4F+qeh8D/nSt5wZeX11frH5+/nrnt54vPxkr\nSYXrYo9ekjQGg16SCmfQS1LhDHpJKpxBL0mFM+glqXAGvSQVzqCXpML9P80/Wdph2KIcAAAAAElF\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(table['distance'], bins=100, log=True);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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BPVX1fOA3gHcm+Y7tHe3WBsTzA8Abge8Dfpi1PzHfMKDrQh4f6BQTrB2jHvBq4I+TPHcW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\nASZ7SWqAyV6SGmCyl6QGmOwlqQH/Byv3EEbzF2t+AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(np.log10(table['luminosity']), bins=100, log=True);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(np.log10(table['flux']), bins=100, log=True);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# TODO: plot GLON, GLAT, FLUX distribution\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "TODO" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Start exercises here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What next?\n", "\n", "TODO: summarise what was done here briefly.\n", "\n", "TODO: add some pointers to other documentation." ] } ], "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": "3.5.3" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 1 }