{ "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/v0.8?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.obs_list(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., 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 3.76 s, sys: 444 ms, total: 4.2 s\n", "Wall time: 4.26 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": {}, "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/python3.6/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": [ "table_psf = observations.make_mean_psf(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 : 108\n", "\ttotal stat : 66212.33\n", "\tmessage : Optimization terminated successfully.\n", "\n", " name value error unit min max\n", "--------- --------- --------- --------------- --------- ---\n", " lon_0 8.362e+01 2.730e-03 deg nan nan\n", " lat_0 2.203e+01 2.468e-03 deg nan nan\n", " index 2.617e+00 8.196e-02 nan nan\n", "amplitude 5.923e-11 4.370e-12 1 / (cm2 s TeV) nan nan\n", "reference 1.000e+00 0.000e+00 TeV 0.000e+00 nan\n", "CPU times: user 4.19 s, sys: 119 ms, total: 4.3 s\n", "Wall time: 4.56 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.data" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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 7.51 s, sys: 72.2 ms, total: 7.58 s\n", "Wall time: 7.69 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\n", "\t--------- --------- --------- --------------- --------- ---\n", "\t index 2.577e+00 1.078e-01 nan nan\n", "\tamplitude 4.354e-11 3.959e-12 1 / (cm2 s TeV) nan nan\n", "\treference 1.000e+00 0.000e+00 TeV 0.000e+00 nan\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", 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" ] }, "metadata": {}, "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 }