{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy/v0.12?urlpath=lab/tree/source_population_model.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\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](..\/astro/population/index.rst) 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": {}, "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(x_min=1e34, x_max=1e37, gamma=1.5, size=n_sources)\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": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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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viwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "TODO" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "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 }