{ "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/v0.10?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 3.27 s, sys: 305 ms, total: 3.58 s\n", "Wall time: 3.58 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/jer/anaconda/envs/gammapy-dev/lib/python3.7/site-packages/astropy/units/quantity.py:463: 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 : 67039.61\n", "\tmessage : Optimization terminated successfully.\n", "\n", " name value error unit min max frozen\n", "--------- --------- ----- -------------- --- --- ------\n", " lon_0 8.362e+01 nan deg nan nan False\n", " lat_0 2.203e+01 nan deg nan nan False\n", " index 2.616e+00 nan nan nan False\n", "amplitude 6.012e-11 nan cm-2 s-1 TeV-1 nan nan False\n", "reference 1.000e+00 nan TeV nan nan True\n", "CPU times: user 3.63 s, sys: 65.4 ms, total: 3.69 s\n", "Wall time: 3.7 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 4.08 s, sys: 40.6 ms, total: 4.12 s\n", "Wall time: 4.08 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 }