{ "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/v0.9?urlpath=lab/tree/hess.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", "[hess.ipynb](../_static/notebooks/hess.ipynb) |\n", "[hess.py](../_static/notebooks/hess.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# H.E.S.S. with Gammapy\n", "\n", "This tutorial explains how to analyse [H.E.S.S.](https://www.mpi-hd.mpg.de/hfm/HESS) data with Gammapy.\n", "\n", "We will analyse four observation runs of the Crab nebula, which are part of the [H.E.S.S. first public test data release](https://www.mpi-hd.mpg.de/hfm/HESS/pages/dl3-dr1/). In this tutorial we will make an image and a spectrum. The [light_curve.ipynb](light_curve.ipynb) notbook contains an example how to make a light curve.\n", "\n", "To do a 3D analysis, one needs to do a 3D background estimate. In [background_model.ipynb](background_model.ipynb) we have started to make a background model, and in this notebook we have a first look at a 3D analysis. But the results aren't OK yet, the background model needs to be improved. In this analysis, we also don't use the energy dispersion IRF yet, and we only analyse the data in the 1 TeV to 10 TeV range. The H.E.S.S. data was only released very recently, and 3D analysis in Gammapy is new. This tutorial will be improved soon." ] }, { "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 astropy.coordinates import SkyCoord\n", "from regions import CircleSkyRegion\n", "from gammapy.data import DataStore\n", "from gammapy.maps import Map, MapAxis, WcsGeom, WcsNDMap\n", "from gammapy.cube import MapMaker, MapFit, PSFKernel\n", "from gammapy.cube.models import SkyModel\n", "from gammapy.spectrum.models import PowerLaw, ExponentialCutoffPowerLaw\n", "from gammapy.image.models import SkyGaussian, SkyPointSource\n", "from gammapy.detect import TSMapEstimator\n", "from gammapy.scripts import SpectrumAnalysisIACT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data access\n", "\n", "To access the data, we use the `DataStore`, and we use the ``obs_table`` to select the Crab runs." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "data_store = DataStore.from_file(\n", " \"$GAMMAPY_DATA/hess-dl3-dr1/hess-dl3-dr3-with-background.fits.gz\"\n", ")\n", "mask = data_store.obs_table[\"TARGET_NAME\"] == \"Crab\"\n", "obs_table = data_store.obs_table[mask]\n", "observations = data_store.get_observations(obs_table[\"OBS_ID\"])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# pos_crab = SkyCoord.from_name('Crab')\n", "pos_crab = SkyCoord(83.633, 22.014, unit=\"deg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Maps\n", "\n", "Let's make some 3D cubes, as well as 2D images.\n", "\n", "For the energy, we make 5 bins from 1 TeV to 10 TeV." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "energy_axis = MapAxis.from_edges(\n", " np.logspace(0, 1.0, 5), unit=\"TeV\", name=\"energy\", interp=\"log\"\n", ")\n", "geom = WcsGeom.create(\n", " skydir=(83.633, 22.014),\n", " binsz=0.02,\n", " width=(5, 5),\n", " coordsys=\"CEL\",\n", " proj=\"TAN\",\n", " axes=[energy_axis],\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 15.1 s, sys: 329 ms, total: 15.4 s\n", "Wall time: 4 s\n" ] } ], "source": [ "%%time\n", "maker = MapMaker(geom, offset_max=\"2.5 deg\")\n", "maps = maker.run(observations)\n", "images = maker.make_images()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['counts', 'exposure', 'background'])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maps.keys()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "images[\"counts\"].smooth(3).plot(stretch=\"sqrt\", vmax=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PSF\n", "\n", "Compute the mean PSF for these observations at the Crab position." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/deil/software/anaconda3/envs/gammapy-dev/lib/python3.7/site-packages/astropy/units/quantity.py:639: RuntimeWarning: invalid value encountered in true_divide\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n" ] } ], "source": [ "from gammapy.irf import make_mean_psf\n", "\n", "table_psf = make_mean_psf(observations, pos_crab)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "psf_kernel = PSFKernel.from_table_psf(table_psf, geom, max_radius=\"0.3 deg\")\n", "psf_kernel_array = psf_kernel.psf_kernel_map.sum_over_axes().data\n", "# psf_kernel.psf_kernel_map.slice_by_idx({'energy': 0}).plot()\n", "# plt.imshow(psf_kernel_array)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Map fit\n", "\n", "Let's fit this source assuming a Gaussian spatial shape and a power-law spectral shape" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "spatial_model = SkyPointSource(lon_0=\"83.6 deg\", lat_0=\"22.0 deg\")\n", "spectral_model = PowerLaw(\n", " index=2.6, amplitude=\"5e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "model = SkyModel(spatial_model=spatial_model, spectral_model=spectral_model)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FitResult\n", "\n", "\tbackend : minuit\n", "\tmethod : minuit\n", "\tsuccess : True\n", "\tnfev : 116\n", "\ttotal stat : 67023.63\n", "\tmessage : Optimization terminated successfully.\n", "\n", " name value error unit min max frozen\n", "--------- --------- --------- -------------- --- --- ------\n", " lon_0 8.362e+01 2.703e-03 deg nan nan False\n", " lat_0 2.203e+01 2.426e-03 deg nan nan False\n", " index 2.616e+00 8.089e-02 nan nan False\n", "amplitude 6.012e-11 4.381e-12 cm-2 s-1 TeV-1 nan nan False\n", "reference 1.000e+00 0.000e+00 TeV nan nan True\n", "CPU times: user 7.82 s, sys: 71.2 ms, total: 7.89 s\n", "Wall time: 2.01 s\n" ] } ], "source": [ "%%time\n", "fit = MapFit(\n", " model=model,\n", " counts=maps[\"counts\"],\n", " exposure=maps[\"exposure\"],\n", " background=maps[\"background\"],\n", " psf=psf_kernel,\n", ")\n", "result = fit.run()\n", "print(result)\n", "print(result.model.parameters.to_table())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Residual image\n", "\n", "We compute a residual image as `residual = counts - model`. Note that this is counts per pixel and our pixel size is 0.02 deg. Smoothing is counts-preserving. The residual image shows that currently both the source and the background modeling isn't very good. The background model is underestimated (so residual is positive), and the source model is overestimated." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "npred = fit.evaluator.compute_npred()\n", "residual = Map.from_geom(maps[\"counts\"].geom)\n", "residual.data = maps[\"counts\"].data - npred" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "residual.sum_over_axes().smooth(3).plot(\n", " cmap=\"coolwarm\", vmin=-0.5, vmax=0.5, add_cbar=True\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectrum\n", "\n", "We could try to improve the background modeling and spatial model of the source. But let's instead turn to one of the classic IACT analysis techniques: use a circular on region and reflected regions for background estimation, and derive a spectrum for the source without having to assume a spatial model, or without needing a 3D background model." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 10.8 s, sys: 63.5 ms, total: 10.9 s\n", "Wall time: 5.81 s\n" ] } ], "source": [ "%%time\n", "on_region = CircleSkyRegion(pos_crab, 0.11 * u.deg)\n", "exclusion_mask = images[\"counts\"].copy()\n", "exclusion_mask.data = np.ones_like(exclusion_mask.data, dtype=bool)\n", "\n", "model = PowerLaw(\n", " index=2.6, amplitude=\"5e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "\n", "config = {\n", " \"outdir\": \".\",\n", " \"background\": {\"on_region\": on_region, \"exclusion_mask\": exclusion_mask},\n", " \"extraction\": {\"containment_correction\": True},\n", " \"fit\": {\"model\": model, \"fit_range\": [1, 10] * u.TeV},\n", " \"fp_binning\": np.logspace(0, 1, 7) * u.TeV,\n", "}\n", "analysis = SpectrumAnalysisIACT(observations=observations, config=config)\n", "analysis.run()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Fit result info \n", "--------------- \n", "Model: PowerLaw\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- --------- --------- -------------- --- --- ------\n", "\t index 2.577e+00 1.078e-01 nan nan False\n", "\tamplitude 4.354e-11 3.959e-12 cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 0.000e+00 TeV nan nan True\n", "\n", "Covariance: \n", "\n", "\t name index amplitude reference\n", "\t--------- --------- --------- ---------\n", "\t index 1.163e-02 3.288e-13 0.000e+00\n", "\tamplitude 3.288e-13 1.567e-23 0.000e+00\n", "\treference 0.000e+00 0.000e+00 0.000e+00 \n", "\n", "Statistic: 27.477 (wstat)\n", "Fit Range: [ 1. 10.] TeV\n", "\n" ] } ], "source": [ "print(analysis.fit.result[0])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opts = {\n", " \"energy_range\": analysis.fit.fit_range,\n", " \"energy_power\": 2,\n", " \"flux_unit\": \"erg-1 cm-2 s-1\",\n", "}\n", "axes = analysis.spectrum_result.plot(**opts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again: please note that this tutorial notebook was put together quickly, the results obtained here are very preliminary. We will work on Gammapy and the analysis of data from the H.E.S.S. test release and update this tutorial soon." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "- Try analysing another source, e.g. MSH 15-52.\n", "- Try another model, e.g. a Gaussian spatial shape or exponential cutoff power-law spectrum." ] }, { "cell_type": "code", "execution_count": 18, "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": "3.6.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }