{ "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-webpage/v0.15?urlpath=lab/tree/models.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", "[models.ipynb](../_static/notebooks/models.ipynb) |\n", "[models.py](../_static/notebooks/models.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Model Gallery\n", "\n", "**TODO: Write me!**\n", "\n", "This is an overview of the Gammapy built-in models in `~gammapy.modeling.models`.\n", "\n", "Note that there is a separate tutorial `modeling.ipynb` that explains about `~gammapy.modeling`,\n", "the Gammapy modeling and fitting framework. You have to read that to learn how to work with models.\n", "\n", "Topics covered here:\n", "\n", "- How to create spatial, spectral and temporal models.\n", "- How to create 3D sky models and other compound models.\n", "- How to serialize/read and deserialize/write models.\n", "- How to use the model registries to list all available models or serialise models." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy import units as u\n", "from astropy.coordinates import Angle\n", "from gammapy.maps import Map, WcsGeom\n", "import gammapy.modeling.models as gm" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Spatial models" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m_geom = WcsGeom.create(\n", " binsz=0.01, width=(5, 5), skydir=(2, 2), coordsys=\"GAL\", proj=\"AIT\"\n", ")\n", "phi = Angle(\"30 deg\")\n", "model = gm.GaussianSpatialModel(\n", " lon_0=\"2 deg\",\n", " lat_0=\"2 deg\",\n", " sigma=\"1 deg\",\n", " e=0.7,\n", " phi=phi,\n", " frame=\"galactic\",\n", ")\n", "\n", "coords = m_geom.get_coord()\n", "vals = model(coords.lon, coords.lat)\n", "skymap = Map.from_geom(m_geom, data=vals.value)\n", "\n", "_, ax, _ = skymap.smooth(\"0.05 deg\").plot()\n", "\n", "transform = ax.get_transform(\"galactic\")\n", "ax.scatter(2, 2, transform=transform, s=20, edgecolor=\"red\", facecolor=\"red\")\n", "ax.text(1.5, 1.85, r\"$(l_0, b_0)$\", transform=transform, ha=\"center\")\n", "ax.plot(\n", " [2, 2 + np.sin(phi)], [2, 2 + np.cos(phi)], color=\"r\", transform=transform\n", ")\n", "ax.vlines(x=2, color=\"r\", linestyle=\"--\", transform=transform, ymin=-5, ymax=5)\n", "ax.text(2.25, 2.45, r\"$\\phi$\", transform=transform)\n", "ax.contour(skymap.data, cmap=\"coolwarm\", levels=10, alpha=0.6)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "Text(2.15, 2.3, '$\\\\phi$')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model = gm.DiskSpatialModel(\n", " lon_0=\"2 deg\",\n", " lat_0=\"2 deg\",\n", " r_0=\"1 deg\",\n", " e=0.8,\n", " phi=\"30 deg\",\n", " frame=\"galactic\",\n", ")\n", "\n", "m_geom = WcsGeom.create(\n", " binsz=0.01, width=(3, 3), skydir=(2, 2), coordsys=\"GAL\", proj=\"AIT\"\n", ")\n", "coords = m_geom.get_coord()\n", "vals = model(coords.lon, coords.lat)\n", "skymap = Map.from_geom(m_geom, data=vals.value)\n", "\n", "_, ax, _ = skymap.smooth(\"0.05 deg\").plot()\n", "\n", "transform = ax.get_transform(\"galactic\")\n", "ax.scatter(2, 2, transform=transform, s=20, edgecolor=\"red\", facecolor=\"red\")\n", "ax.text(1.7, 1.85, r\"$(l_0, b_0)$\", transform=transform, ha=\"center\")\n", "ax.plot(\n", " [2, 2 + np.sin(np.pi / 6)],\n", " [2, 2 + np.cos(np.pi / 6)],\n", " color=\"r\",\n", " transform=transform,\n", ")\n", "ax.vlines(x=2, color=\"r\", linestyle=\"--\", transform=transform, ymin=0, ymax=5)\n", "ax.text(2.15, 2.3, r\"$\\phi$\", transform=transform)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectral models" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "(1e-18, 1e-10)" ] }, "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": [ "energy_range = [0.1, 100] * u.TeV\n", "\n", "pwl = gm.PowerLawSpectralModel()\n", "pwl.plot(energy_range)\n", "\n", "pwl2 = gm.PowerLaw2SpectralModel()\n", "pwl2.plot(energy_range)\n", "\n", "ecpl = gm.ExpCutoffPowerLawSpectralModel()\n", "ecpl.plot(energy_range)\n", "\n", "ecpl_3fgl = gm.ExpCutoffPowerLaw3FGLSpectralModel()\n", "ecpl_3fgl.plot(energy_range)\n", "\n", "secpl_3fgl = gm.SuperExpCutoffPowerLaw3FGLSpectralModel()\n", "secpl_3fgl.plot(energy_range)\n", "\n", "secpl_4fgl = gm.SuperExpCutoffPowerLaw4FGLSpectralModel()\n", "secpl_4fgl.plot(energy_range)\n", "\n", "log_parabola = gm.LogParabolaSpectralModel()\n", "log_parabola.plot(energy_range)\n", "\n", "plt.ylim(1e-18, 1e-10)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "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": [ "# Create and plot EBL absorption models for a redshift of 0.5\n", "\n", "redshift = 0.5\n", "dominguez = gm.Absorption.read_builtin(\"dominguez\").table_model(redshift)\n", "franceschini = gm.Absorption.read_builtin(\"franceschini\").table_model(redshift)\n", "finke = gm.Absorption.read_builtin(\"finke\").table_model(redshift)\n", "\n", "plt.figure()\n", "energy_range = [0.08, 3] * u.TeV\n", "opts = dict(energy_range=energy_range, energy_unit=\"TeV\", flux_unit=\"\")\n", "franceschini.plot(label=\"Franceschini 2008\", **opts)\n", "finke.plot(label=\"Finke 2010\", **opts)\n", "dominguez.plot(label=\"Dominguez 2011\", **opts)\n", "\n", "plt.ylabel(r\"Absorption coefficient [$\\exp{(-\\tau(E))}$]\")\n", "plt.xlim(energy_range.value)\n", "plt.ylim(1e-4, 2)\n", "plt.title(f\"EBL models (z={redshift})\")\n", "plt.grid(which=\"both\")\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: astropy.extern.six will be removed in 4.0, use the six module directly if it is still needed [astropy.extern.six]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create and plot a spectral model that convolves an `ExpCutoffPowerLawSpectralModel` electron distribution\n", "# with an `InverseCompton` radiative model, in the presence of multiple seed photon fields.\n", "\n", "import naima\n", "\n", "particle_distribution = naima.models.ExponentialCutoffPowerLaw(\n", " 1e30 / u.eV, 10 * u.TeV, 3.0, 30 * u.TeV\n", ")\n", "radiative_model = naima.radiative.InverseCompton(\n", " particle_distribution,\n", " seed_photon_fields=[\"CMB\", [\"FIR\", 26.5 * u.K, 0.415 * u.eV / u.cm ** 3]],\n", " Eemin=100 * u.GeV,\n", ")\n", "\n", "model = gm.NaimaSpectralModel(radiative_model, distance=1.5 * u.kpc)\n", "\n", "opts = {\n", " \"energy_range\": [10 * u.GeV, 80 * u.TeV],\n", " \"energy_power\": 2,\n", " \"flux_unit\": \"erg-1 cm-2 s-1\",\n", "}\n", "\n", "# Plot the total inverse Compton emission\n", "model.plot(label=\"IC (total)\", **opts)\n", "\n", "# Plot the separate contributions from each seed photon field\n", "for seed, ls in zip([\"CMB\", \"FIR\"], [\"-\", \"--\"]):\n", " model = gm.NaimaSpectralModel(\n", " radiative_model, seed=seed, distance=1.5 * u.kpc\n", " )\n", " model.plot(label=f\"IC ({seed})\", ls=ls, color=\"gray\", **opts)\n", "\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gaussian = gm.GaussianSpectralModel(mean=\"1 TeV\")\n", "gaussian.plot(energy_range)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "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": "3.7.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 4 }