{ "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://static.mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.18.2?urlpath=lab/tree/background_model.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/docs/tutorials).\n", "- **Source files:**\n", "[background_model.ipynb](../_static/notebooks/background_model.ipynb) |\n", "[background_model.py](../_static/notebooks/background_model.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Make template background model\n", "\n", "## Context\n", "\n", "DL3 data is usually shipped with a background IRF. However, sometimes it is necessary to be able to build background templates from scratch.\n", "\n", "In this notebook, we show a very basic example of how this can be done using off runs supplied within the HESS data release.\n", "\n", "Real life implementations can be found [here](https://www.aanda.org/articles/aa/abs/2019/12/aa36452-19/aa36452-19.html) and a slightly different approach [here](https://www.aanda.org/articles/aa/full_html/2019/12/aa36010-19/aa36010-19.html).\n", "\n", "## Proposed approach\n", "\n", "\n", "We will use the \"off observations\", i.e. those without significant gamma-ray emission sources in the field of view from the [H.E.S.S. first public test data release](https://www.mpi-hd.mpg.de/hfm/HESS/pages/dl3-dr1/). This model could then be used in the analysis of sources from that dataset (not done here).\n", "\n", "We will make a background model that is radially symmetric in the field of view, i.e. only depends on field of view offset angle and energy. At the end, we will save the model in the `BKG_2D` as defined in the [spec](https://gamma-astro-data-formats.readthedocs.io/en/latest/irfs/full_enclosure/bkg/index.html).\n", "\n", "Note that this is just a very simplified example. Actual background model production is done with more sophistication usually using 100s or 1000s of off runs, e.g. concerning non-radial symmetries, binning and smoothing of the distributions, and treating other dependencies such as zenith angle, telescope configuration or optical efficiency. Another aspect not shown here is how to use AGN observations to make background models, by cutting out the part of the field of view that contains gamma-rays from the AGN.\n", "\n", "We will mainly be using the following classes:\n", " \n", "* `~gammapy.data.DataStore` to load the runs to use to build the bkg model.\n", "* `~gammapy.irf.Background2D` to represent and write the background model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, we start the notebook with some setup and imports." ] }, { "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": [ "from copy import deepcopy\n", "import numpy as np\n", "import astropy.units as u\n", "from astropy.io import fits\n", "from astropy.table import Table, vstack" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from pathlib import Path\n", "from gammapy.maps import MapAxis\n", "from gammapy.data import DataStore\n", "from gammapy.irf import Background2D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Select off data\n", "\n", "We start by selecting the observations used to estimate the background model.\n", "\n", "In this case, we just take all \"off runs\" as defined in the observation table." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of observations: 45\n" ] } ], "source": [ "data_store = DataStore.from_dir(\"$GAMMAPY_DATA/hess-dl3-dr1\")\n", "# Select just the off data runs\n", "obs_table = data_store.obs_table\n", "obs_table = obs_table[obs_table[\"TARGET_NAME\"] == \"Off data\"]\n", "observations = data_store.get_observations(obs_table[\"OBS_ID\"])\n", "print(\"Number of observations:\", len(observations))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background model\n", "\n", "The background model we will estimate is a differential background rate model in unit `s-1 MeV-1 sr-1` as a function of reconstructed energy and field of fiew offset.\n", "\n", "We estimate it by histogramming off data events and then smoothing a bit (not using a good method) to get a less noisy estimate. To get the differential rate, we divide by observation time and also take bin sizes into account to get the rate per energy and solid angle. So overall we fill two arrays called `counts` and `exposure` with `exposure` filled so that `background_rate = counts / exposure` will give the final background rate we're interested in.\n", "\n", "The processing can be done either one observation at a time, or first for counts and then for exposure. Either way is fine. Here we do one observation at a time, starting with empty histograms and then accumulating counts and exposure. Since this is a multi-step algorithm, we put the code to do this computation in a `BackgroundModelEstimator` class.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "class BackgroundModelEstimator:\n", " def __init__(self, energy, offset):\n", " self.counts = self._make_bkg2d(energy, offset, unit=\"\")\n", " self.exposure = self._make_bkg2d(energy, offset, unit=\"s MeV sr\")\n", "\n", " @staticmethod\n", " def _make_bkg2d(energy, offset, unit):\n", " shape = len(energy.center), len(offset.center)\n", " return Background2D(\n", " energy_axis=energy,\n", " offset_axis=offset,\n", " data=np.zeros(shape) * u.Unit(unit),\n", " )\n", "\n", " def run(self, observations):\n", " for obs in observations:\n", " self.fill_counts(obs)\n", " self.fill_exposure(obs)\n", "\n", " def fill_counts(self, obs):\n", " events = obs.events\n", " data = self.counts.data\n", " counts = np.histogram2d(\n", " x=events.energy.to(\"MeV\"),\n", " y=events.offset.to(\"deg\"),\n", " bins=(data.axes[0].edges, data.axes[1].edges),\n", " )[0]\n", " data.data += counts\n", "\n", " def fill_exposure(self, obs):\n", " data = self.exposure.data\n", " energy_width = np.diff(data.axes[0].edges)\n", " offset = data.axes[1].center\n", " offset_width = np.diff(data.axes[1].edges)\n", " solid_angle = 2 * np.pi * offset * offset_width\n", " time = obs.observation_time_duration\n", " exposure = time * energy_width[:, None] * solid_angle[None, :]\n", " data.data += exposure\n", "\n", " @property\n", " def background_rate(self):\n", " rate = deepcopy(self.counts)\n", " rate.data.data /= self.exposure.data.data\n", " return rate" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.02 s, sys: 91.3 ms, total: 2.11 s\n", "Wall time: 2.16 s\n" ] } ], "source": [ "%%time\n", "energy = MapAxis.from_energy_bounds(0.1, 100, 20, name=\"energy\", unit=\"TeV\")\n", "offset = MapAxis.from_bounds(\n", " 0, 3, nbin=9, interp=\"sqrt\", unit=\"deg\", name=\"offset\"\n", ")\n", "estimator = BackgroundModelEstimator(energy, offset)\n", "estimator.run(observations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a quick look at what we did ..." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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W2H5hy/EjgY9RtBN81vaHutzGwHqKdoXVfctcmyq/GQdMBgcA27dKOsj2nSPYsh8RUVufv+qWAWdQdAIq769x4JMUU2KsBq6VdBFFsDi9Lf1JwLdt/4ukZwIfpW3NB0mXAV8HLrV9e9OMVgkQd0g6k2K4NhSzA/6bpLnApqYPjogYBcJ97cVke0W5Rk6rQ4BVtu8EkHQesMT26RSljak8CHSqungLRU+mP5O0H8VaPF8HrrC9vmpeqwSIE4DfBn6forR8FfAuiuDwyqoPiogYVTUKEPMlXdeyv7Rcz6aXTounHTplfqRjgV+mmKX1jPbztv+LoqSyTNJYea+jgP8taSNwue2/7pWpngHC9kZJnwIusX1H2+nKkSgiYlTVaIPYBNxA/ak2Ki2e9viJYn2dTmvsdLp2C3B1uf2ppPkUwaWnnq2jko4BbqQoniDpp8u6sYiI7Z5UfZuGGVs8zfb9tr9U5doqVUwfoKgf+1Z58xs71J9FRGy3VL0E0XQupmuBReWo57uB44A3NLhPX1XpXzlhe+3AcxIRMaTG5Uob5Wyukn51qntJOpeiumd/SaslnVwOOn4HcBnFGg7nt/Ye3VaqlCBukfQGYFzSIuB3ge8ONlsREcNB1FqTumcJwvbxUxxfTrHK5kBJOtH256tcW6UE8TvAC4BHgXOBdRQ9miIidgiSK21UKEEMgdOqXlilF9MG4I/LLSJix6L+liBmgqSbpzoFPLPqfbqtB3Ex3btZHVP1IRERo0oYTf1VOKyeSdGV9cG246JGE0G3EsRHyn+PBZ4F/EO5fzzF/EwRETuEEVxy9BJg105rPkj6VtWbdFsP4l/Km33Q9itaTl0saUWNjEZEjLQaU20MRRWT7ZO7nKvcfbZKI/UCSc+b3Cn76S6o+oCIiFFW9GJypY0haaSW1HPa3CrXVOnm+k7gW5LuLPefC2zzCBkRMVNqDJIeihIEcKGkG4ELgettPwxQ/rH/SuD1wGcolpaeUpVeTF8vxz8cUB663faj08l5RMTImP40GjPO9i9KOhr4LeBlkp4KTAB3AF8D3lJO6NdVt15ML7d9VfmwR4Gb2s7vBiy0fUvzjxERMdwmq5hGTT8G3nUrQfy6pL+mmKTveuA+itWL/gdFEeU5wB9O5+EREaNgBHsx9UW3XkzvLIslrwVeB+wJbKSYJ+TTk6WLqUy1rF7L+cMp6sf+ozx0ge0/b/IhIiIGaXzwk/UNpa5tELYfpGjI+EyDey+jbVm9Dr5tu9tqSRER25RwndlctytVurk2YnsF8N+Dun9ExIwop9qosg0jSS+XdGL584JyqEIlAwsQFR0m6SZJl0p6wVQXSTpF0nWSrrvvvvtmMn8REXUm6xsqkj4AvAf4o/LQbJ6YFaOnKivKbbUgdqdjDdwAPMf2i4FPAF+d6kLbS20vtr14wYKM0YuImSOKL8oq2xD6NeAY4GEA2/cAT6mauMpnurrisVpsr7O9vvx5OTC7XCs1ImKo9HPBoBn2mG1TTrwqaZc6ibuNg3gWsBewk6SDeGIw4W7Azs3yutX9f2zbkg6hCFYPTPe+ERH9NgNLjg7K+ZI+Dewh6a3AScBnqybu1ovpl4ETKBbP/mjL8XXA+3rduFxW73BgvqTVFGtbzwawfRZF99m3SZqg6D57XBnpIiKGhqg11cZQsf0RSUdQfG/vD/yp7W9UTd9tHMQXgC9I+nXbX2mQsY7L6rWcP4OiG2xExFAbxZHUAJI+bPs9wDc6HOupShvEdyR9TtKl5c0PlDTlVLIREdsbVdyG0BEdjh1VNXGVAPF54DLg2eX+v5E1qSNiB6GKU33PZClD0pikv5T0CUlv6XD+bZJ+AOwv6eaW7T+AqZYj3UqVADHf9vnAFgDbE8Dmqg+IiBh1/RwoJ+lsSWsk3dJ2/EhJd0haJem9PW6zhKIT0SZgdYfz/wj8KnBR+e/kdrDtN1bLabX1IB6W9HSe6Cb1UmBt1QdERIy6PpcOltE2DZGkceCTFFVCq4FrJV0EjAOnt6U/iaLB+Wrbn5b0ZeCK1gtsr6X4nj6+vP8zKCZb3VXSrrZ/VCWjVQLEH1BEoedL+g7FanKvrXLziIhR1+/2BdsrJD237fAhwCrbdwJIOg9YYvt0iklPn5ynomfoY+XulDU65XiMj1I0EayhmIX7NmDKmStaVVkw6AZJP08RsQTcYXtTlZtHRGwPapQg5ku6rmV/qe2lFdLtBdzVsr8aOLTL9RcAn5D0c8CKLtf9BfBS4P/aPkjSKylLFVX0DBCSXgd83fZKSX8CvETSX9i+oepDIiJGWY0SxCaKaYTqrgfR6RFTRiXbG4AqvUk32X6gbNQes32lpA9XzVSVKqb32/4/kl5OMXjuI8CZdI9uQ2X9+sd6X9TukUf6n5EpbNq0pXaazRP10wBMzNCzNm9ulr/NW+rX9c5kD/UmE7I1rb+eM17/Hc4Zqz8j0M6zqnwNbG2POU+rnWa3OZWnAXqSXWZNe/KGaZmBifhWA/u07O8N3NOH+z4kaVeKUsaXJK2hWHq0kiq/TZP1W78CnGn7QmBO7WxGRIwgqdZcTGttn9JgNblrgUWS9pU0BziOou13upYAG4B3UqwO+u8UvZkqqRIg7i7n8ng9sLycyXVIJy6MiOi/GrO59pysr5yG6GqKMQqrJZ1cDh94B8WYs9uA822vnE6ey55RF9reYnvC9hdsf9x25Tnvuk3Wt6/t/6AIDEcCH7H9kKQ9gXdPJ+MREaOi5opyPSfrm2oaonJW6+U1s9ftOZslbZC0e9nttbZulY9fBg6maGz5xZaH3gvc2+RhERGjqEaVye6SllK/kXpQHgF+IOkblGtCANj+3SqJuwWIsXI1ov0k/UH7Sdsf7ZAmImK7M8LTfX+t3BrpFiCOA15TXtOs60FExIgTTDZAj5xyVu7GugWII21/WNJc238+nYdERIwyVR8IMWxVTNPSrWrtxPLf18xERiIihtUYrrTRvJvrUOpWgrhN0g+BBZJap4cVYNsvGmjOIiKGgFSrBLFd6bai3PHlutGXAcfMXJYiIoZLjfgwFFVMki6m+1Qdlb7Tu46xt/1fkg4F/kf5sH+3PXNzUEREDIEa06UMSy+mj5T/Hgs8C/iHcv944IdVb9JtoNws4K8o2iJ+RNFesbekzwN/nBldI2JHIDxyvZhs/wuApA/afkXLqYsldZv99Um6NVL/DfA04Hm2D7Z9EPB8YA+eiE4REdu9GmtS95xqY4YtkPS8yR1J+1Ks6VNJtyqmVwP72X48dNpeJ+ltwO3A7zXIbETEyBnhgXLvBL4l6c5y/7nAb1VN3C1AuDU4tBzcrBmY+zYiYhiI0Z2d1PbXJS0CDigP3W770arpuwWIWyW92fY5rQclvZGiBBERsUPQaPdzPZii5DALeLEk2r/Xp9ItQLwduEDSScD1FL2YfgbYCfi1aWU3ImKEjGp4kPRFirbjG3libR8D0wsQtu8GDpX0CxQLXAu41PYV08pxRMQIkcTY6JYgFgMHdmouqKLnWoO2vwl8s8nNIyK2B6pehhiKgXItbqEYB9FoiYZmi9FWIOlsip5Qa2y/sMN5AR8DjqZYEu8E2zcMKj8REU3VKEAMWy+m+RTtyd8HHm+c7stI6mlaBpzB1HVdRwGLyu1Q4Mzy34iIoTI2sq0Q/Nl0Eg8sQNheIem5XS5ZApxT1o1dI2kPSXuWK9ZFRAwFMbqT9U2OqG5qkCWIXvYC7mrZX10eS4CIiKEyqo3Ukn7CE5P2zQFmAw/b3q1K+m0ZIDq98Y4t7ZJOAU4BWLhw4SDzFBGxlRqN1DNC0s8Bv0nxHX6g7Z/tdJ3tp7Slew1wSNXnbMsBgquBfVr29wbu6XSh7aW2F9tevGBB5WlEIiL6YnJNiF5btXvpbElrJN3SdvxISXdIWiXpvd3uYfvbtk8FLgEqLytq+6vAL1S9fluWIC4C3iHpPIrG6bVpf4iIYaPyf320jLYOPJLGgU8CR1D88XytpIuAceD0tvQn2V5T/vwG4H9N9SBJx7bsjlGMi6g8JmKQ3VzPBQ4H5ktaDXyAov4L22cByym6uK6i6OZ6Yuc7RURsW/2sapmiA88hwCrbdwKUfzgvsX06xXCBrUhaSPGH9bouj2udVXaCYi2IJVXzOsheTMf3OG+K6TwiIoaXas3FNF/SdS37S20vrZCuU6edXt3+TwY+3+0C29P6w3tUJykcTo/M3GJ7Dz443Av7/WTtzOVv3cbxGXtWEw89NnvGnvXAo/VnVFizccMActLZusd+MmPP6hdR9GKqsgGbgBuA08p20yrBYfIx7br+x7T9Advf7XpTaW9J/1y2efxY0lck7V0xT9u0DWLGPPbY5t4XtZuYqJ9m511gS/3/gzaZJmWPPeaxpcGzNjdIs2XzltppnrL7vEbpmnym3XY2W1y/jrjZ7DT1PXNe5dmVn2TeeP3f26fNmVs7zbN23r12GoAJ1///yNPnPq3RszZMbATgaXOf1Sj9dM1AH6bKnXZq+jzwj8Dryv03lseOqJI4JYiIiB4kVdoop9poMA/TtcAiSftKmgMcR9GRZ7oW2P687YlyW0aNFeUSICIieujnkqNlB56rgf0lrZZ0su0J4B3AZcBtwPm2V/Yh6/dLeqOk8XJ7I/BA1cQ7RBVTRMR01Ojm2nOyvqk68NheTtG7s59OouhS+3cUbRrfLY9VkgAREdGFEOPVezENzXTf5diKv6o6c2snCRARET2M4nTftjdLWiBpju3HmtwjASIioodhm4uphh8C3ylHZT88edD2R6skToCIiOiizjxLDFEVU+mechsDntLj2q0kQERE9NDPRuqZZPu06aRPgIiI6GFEl4NA0sVsPSJ7LXAd8GnbXac8yDiIiIguBIyjShsVxkHMsDuB9cBnym0d8GNgv3K/q5QgIiJ6qDFZ31BVMQEH2X5Fy/7FklbYfoWkngPxUoKIiOiq6jjqoayHWlBOCw48PkX45FQbPbu+pgQREdFDja/+YevF9IfAVZL+neJj7Av8tqRdqLASXQJEREQPo1rFZHu5pEXAARQB4vbisB8F/r5X+lQxRUT0NJpVTJLOtv2o7Zts30ixhGnl+Z4SICIiuhAwhiptQ+huSWcCSHoq8A3gH6omToCIiOhlcjh1r23I2H4/sE7SWcDlwN/a7rpMaau0QURE9DB8X/3dSTq2Zff7wPvLfy3pWNsXVLlPAkRERFe12heGpRdT+0C9fwVml8cNJEBERPTDqM3FZPvEftwnbRAREd2o1prUQ0XSFyTt0bL/VElnV02fEkRERA8jvB7Ei2w/NLlj+0FJB1VNnBJEREQXIz3RBoyV3VsBkPQ0ahQMdogShNsnux22BzVIt3lLs2d5hl5G08ds2byldpqJzc3+znGD/0vvNL65dpq5DdIAzBmr/7nGG6QZa1g1Mndsbu006zcVi5ot3PX5jZ65zQxZ9VE5p9IZwP3Av9n+0BSX/i3wXUlfLvdfB/xl1eekBBER0ZUq/6/S3aSzJa2RdEvb8SMl3SFplaT39rjNfsDXbJ8EHDjVRbbPAV5LMcX3GuBY21+slFEGHCB6fWBJh0taK+nGcvvTQeYnIqKJfgYIYBlw5JPuL40DnwSOovjCP17SgZJ+StIlbdszKLqtHifpm8CV3R5meyVwPnAhsL51dtdeBlbF1PKBjwBWA9dKusj2rW2Xftv2qweVj4iI6epnDyXbKyQ9t+3wIcAq23eWzzsPWGL7dGCr70dJ7wI+UN7ry0DH0dGSjqGoZno2RQniOcBtwAuq5HWQJYjHP7Dtx4DzgCUDfF5ExIBUbqaeL+m6lq3qmIi9gLta9leXx6bydeB3yyk0ftjlug8CL6Vop9gX+EXgOxXzNNBG6k4f+NAO1x0m6SbgHuBdZXEoImJo1Cg/bAJuoP5I6k6PmLKrh+1bKNoWeubH9gOSxiSN2b5S0oerZmqQAaLKB74BeI7t9ZKOBr4KLNrqRkUUPgVg4cLK1WcREdNWlA0GPpJ6NbBPy/7eFH80T9dDknYFVgBfkrQGmKiaeJBVTD0/sO11tteXPy8HZkua334j20ttL7a9eMGCBe2nIyIGqOJMrkU7xe6Slkpqnwupl2uBRZL2lTQHOA64qA+ZX6L2FnYAAArRSURBVAJsAN5JUS3172w9T9OUBhkgen5gSc9S2foj6ZAyPw8MME8REbX1c6CcpHOBq4H9Ja2WdLLtCeAdwGUUjcjn96O63fbDtreU9/8a8Anblb9jB1bFZHtC0uQHHgfOtr1S0qnl+bMo6tDeJmkC2Agc55kayRURUZGq/y3ds4rJ9vFTHF9OjdXeupH0UuBDwH9TNFR/EZhPMbL6zba/XuU+Ax1J3ekDl4Fh8uczKEYDRkQMp3prAQ3LdN9nAO8Ddge+CRxl+xpJBwDnUlQ39bRDTLURETE9ozXdNzDL9uUAkv7c9jUAtm+vM6YjASIioocRnM21dVKzjW3nKlfjJ0BERHRRcxqNYalierGkdRRFn53Knyn351W9SQJEREQPNaplhqKKyfZ4P+6TABER0cMIVjH1Rab7jojopfpAiKYD5YZSShARET3MwFQbQykliH7auGHGHvWTtY/M2LOaWL9u5vK3fkP9Vehm0n2P1F95ram1jz1aO82PN67rfdEOrs/rQYyMlCCm0mRA9867NHtWg7nmd9u92ZdOk4+1pcHyprvsOpfNE/W/uJvkb4+niBo99x43b1azpUDresa8+l/a0Kzee88Gv4O7zt65dhqAdZvWAvDCp76kUfpRUXO96WHpxdQXCRAREV0JqX9TbYySBIiIiB62v8qjahIgIiJ66eOSo6MkASIiooftsQG6igSIiIgedszwkG6uERFdTS45WrGbawbKRUTsMKSRm4upXxIgIiJ62FHbIFLFFBERHaUEERHRQ51V2LYnCRARET0MWxWTpAOBPwMeAK6w/eVBPCdVTBERXYiiBFFlq3Q/6WxJayTd0nb8SEl3SFol6b09bnMU8AnbbwPe3OiDVbBDlCC8eWKGHtRwVtGJ+vnbsmVOo0c1mXiv0XOazLrX0CObmi2ete6R2bXTLNi5/sR78+c1mxRw9lj9z3X/I8Xyw69eeESjZ0YnfZ+pdRlwBnDO40+QxoFPAkcAq4FrJV0EjAOnt6U/Cfgi8AFJxwBP72fmWu0QASIiYjr6GR5sr5D03LbDhwCrbN8JIOk8YInt04FXT3Grt5eB5YI+Zu9JEiAiInqoUYKYL+m6lv2ltpdWSLcXcFfL/mrg0CnzUwSY9wG7AH9TNXN1JUBERPRSvRfTJuAG6q8H0ekBU9bT2v4hMPABeQkQERFd1FwwqOlI6tXAPi37ewP3NLhPX6UXU0RED9JYpY3mczFdCyyStK+kOcBxwEX9/hx1JUBERPSgilule0nnAlcD+0taLelk2xPAO4DLgNuA822v7O+nqG+gVUySjgQ+RtFV67O2P9R2XuX5o4ENwAm2bxhkniIi6qnVzbVnFZPt46c4vhxYXjNzAzWwADFVv17bt7ZcdhSwqNwOBc6kS8t947yM1/+Y3vBw/Qdteqx+GoC582onWd9wnIGevmvtNLNm1++P/5SnzK2dBmDL5mIsyeW/8ZLKaQ777NWNnvXj8t+r/9dhjdIP2u9/93uN0756YR8zEnUCxO6SllK/kXooDbIE0bFfL9AaIJYA59g2cI2kPSTtafveAeYrIqK6eq3Ume67oir9ejtdsxfwpAAh6RSe6NL1aPsQ9QHaHVg7Q+mrXNvtmqnOPen4I52vbd+fD9w/uXNfj0xNU8d867jppa/1rLdWvl+ld1zj2JPecz99bOtD0/ldrpu21/Uz+Y7375KPSv71+hsv23nWU+dXvHwg/z23GdsD2YDXUbQ7TO6/iWLukNZrvga8vGX/CuDgHve9blB57vCspTOVvsq13a6Z6lyn4+3HOuznHff5HY/ye66bttf12+s73h63QfZiqtKvdyj7/raYbh1infRVru12zVTnOh1vP7Yt60p3lHdc9fmDMp1n103b6/rt9R1vd1RG2f7fWJoF/Bvwi8DdFP183+CWrluSfoWia9fRFNVPH7d9SI/7Xmd78UAyHUDe8UzJex68vOPpGVgbhO0JSZP9eseBs22vlHRqef4sii5dRwOrKLq5nljh1lXmNYnpyTueGXnPg5d3PA0DK0FERMRoy0jqiIjoKAEiIiI6SoCIiIiOtqsAIel5kj4naSALeO+oJO0i6QuSPiPpN7d1frZH+d2dGZJeU/4eXyjpl7Z1fobd0ASIfizkbftO2ycPNqfbh5rv+1jgy7bfChwz45kdUXXecX53m6v5nr9a/h6fAPzGNsjuSBmaAEGxkPeRrQdaJvw7CjgQOF7SgZJ+StIlbdszZj7LI20ZFd83xQDGySlRNs9gHkfdMqq/42huGfXf85+U56OLoVlRzv1byDsqqPO+KUa87w3cyHD9UTHUar7jW4lG6rxnSbcBHwIudZYW6GnY/88+1WR+HUl6uqSzgIMk/dGgM7cdmup9XwD8uqQzyVQG09XxHed3t++m+l3+HeBVwGsnB+3G1IamBDGFugt5PwDkP3pzHd+37YepNso9epvqHed3t7+mes8fBz4+05kZVcNeghj2yfy2N3nfg5d3PDPynvtg2APEUC7kvR3L+x68vOOZkffcB0MTIEZpIe/tQd734OUdz4y858HJZH0REdHR0JQgIiJiuCRARERERwkQERHRUQJERER0lAAREREdJUBERERHCRDRV5I2S7qxZes6RftMUeGbkp7Tkrf/knR3y/6ctjQnlH3sW4/Nl3SfpLmSzpO0aGY/ScTMyTiI6CtJ623v2ud7zioHPk3nHr8CvMr2O1uO/Rmw3vZHpkizG3AnsND2hvLYqcDP2D5Z0s8DbyzXF4jY7qQEETNC0g8lnSbpBkk/kHRAeXyXcsGXayX9q6Ql5fETJP0fSRcDl0vaWdL5km6W9E+SvidpsaSTJf1dy3PeKumjHbLwm8CFXfJ3sKR/kXS9pMsk7Wl7HbAC+NWWS48DJksV3wZeJWnYJ72MaCQBIvptp7YqptZVu+63/RLgTOBd5bE/Br5p+2eAVwJ/I2mX8txhwFts/wLw28CDtl8EfBA4uLzmPOAYSbPL/ROBz3fI18uA6ztluEz7CeC1tg8Gzgb+sjx9LkVQQNKzgf2AKwFsbwFWAS+u8F4iRk7+8ol+22j7p6c4d0H57/UUy5gC/BLFF/xkwJgHLCx//obt/y5/fjnwMQDbt0i6ufz5YUnfBF5dLgYz2/YPOjz7abZ/MkW+9gdeCHxDEsA4cG957hLgU2V10+spll5tXVVvDfBspgg+EaMsASJm0qPlv5t54ndPwK/bvqP1QkmHAg+3Hupy388C7wNup3PpAWBC0lj5V387ASttH9Z+wvZGSV8Hfo2iJPHOtkvmARu75C1iZKWKKba1y4DfUfmnu6SDprjuKoq/4CnXFv6pyRO2v0cx9/8beKJ9oN0dwPO6nFsg6bDy/rMlvaDl/LnAHwDPBK5pS7sfkFlCY7uUABH91t4G8aEe138QmA3cLOmWcr+TT1F8id8MvAe4GVjbcv584Du2H5wi/deAwzudsP0Y8Frgw5Juolh7+2dbLrmcohrpn9zS7U/SMymq1O4lYjuUbq4xEiSNU7QvPCLp+cAVwH7llzuSLgH+zvYVU6TfEzjH9hF9zNM7gXW2P9eve0YMk7RBxKjYGbiy7HEk4G22H5O0B/B94KapggOA7XslfUbSbmX31X54CPhin+4VMXRSgoiIiI7SBhERER0lQEREREcJEBER0VECREREdJQAERERHSVARERER/8fLPD8ZajX4S8AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "estimator.background_rate.plot()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# You could save the background model to a file like this\n", "# estimator.background_rate.to_fits().writeto('background_model.fits', overwrite=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zenith dependence\n", "\n", "The background models used in H.E.S.S. usually depend on the zenith angle of the observation. That kinda makes sense because the energy threshold increases with zenith angle, and since the background is related to (but not given by) the charged cosmic ray spectrum that is a power-law and falls steeply, we also expect the background rate to change.\n", "\n", "Let's have a look at the dependence we get for this configuration used here (Hillas reconstruction, standard cuts, see H.E.S.S. release notes for more information)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = obs_table[\"ZEN_PNT\"]\n", "y = obs_table[\"SAFE_ENERGY_LO\"]\n", "plt.plot(x, y, \"o\")\n", "plt.xlabel(\"Zenith (deg)\")\n", "plt.ylabel(\"Energy threshold (TeV)\");" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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cc8wxfezKrHdTozMm9+xljsTeCMb7SDieUdyfJqyx1YQfqG4WabsLuKvfHUp6CbAzIjZKev4M+1sLrIVsPf5+92vWrfbhg3sjHqu59folbkJtMFX9DMHs9No6X9tjGOvqLwPOknQGWbPRoZI+ExHnDiEWs2lVMTegCbXBYRj2uPd+5gg0aX7BlIEn/ohYA6wByGv8b3HStzqqqj2+Cc0Vg1SHxNnPj3wTlwAvOo5/amE2n49aMpowOmMmTZkvUIeRTv38yDexw77oIm0vBd4PPBFYLOkE4D0RcVY/O4+IbwDf6Oc9zKrS5Pb4OtSii6pD4uyn073MDvvWJq9fGJuHBLt/tqf05q+iNf6LyBZp2w0QETcDi0qJwKymmnyJzjrUoouqw5lVP3MEyppf0D65b/fkHn78sz2VTPQr2sb/SET8ZGqRNrNUNLU9vg616KLqcGbVT6d7WR32nX6sW5XZb1A08d8m6beBOZKOA94E/HPfezezSjRpvkBdRjr18yNfRgWhn/6EbhVN/H8IvB14CPgcsB54bykRWPKGPZRvGKoucx1q0d1o6plVmab7sW5/ThmKtvGfGRFvj4jn5n/vAPrq2DWDNBctG0SZm9w/kapOfQWtyvzhVpFFNiVtiogTZ9tWlYmJidiwYcMgdmUDtuyS6zvWcsbnj9V65mM/Uixzyro5uyt7VI+kjREx0b59xqYeSacDZwDjkv6i5aFDgUe6isAGpklNJ03qhCxLimVOVbfDagfV5DVbU892YAPwc2Bjy9/VwPJqQ7NeNK3ppA5D+QYtxTKnqq7DamdM/BFxS0RcDjw9Ii5v+VsXET8eUIzWhbp+0KbTlDXWy5RimVNV17O7oqN6Fkm6GDiebGE1ACLi2Eqisp7V9YM2nboM5RukFMucqroOqy2a+D8FvBv4c+AFwPmAZ3PVUF0/aDNJcShfimVOUV2H1RYdzjkWEdeRjQK6OyIuAjz8oIbcjGBWH3UdVlu0xv9zSU8A7pT0RmAbcER1YVmv3IxgVi91PLsrmvgvBA4kW6rhvWS1/d+pKijrTx0/aGZWH4USf0R8O7/5IHC+pLnAfwduqiowMzOrxoxt/JIOlbRG0oclnarMG4HvAa8aTIhmZlam2Wr8nwZ+DNwIvA5YRXYxlhX5mvxmZtYwsyX+YyPi2QCSPg7cBxwTEQ9UHpmZmVVituGce6ZuRMRe4AdO+mZmzTZbjf85ku7PbwsYy+8LiIg4tNLozMysdDMm/oiYfnFoMzNrpKIzd83MbEQ48ZuZJcaJ38wsMU78ZmaJceI3M0uME7+ZWWKc+M3MEuPEb2aWGCd+M7PEOPGbmSXGid/MLDFO/GZmiXHiNzNLzMATv6SnSLpB0hZJt0u6YNAxmJmlrNDF1kv2CPDHEbFJ0iHARknXRsR3hhCLmVlyBl7jj4gdEbEpv/0AsAUYH3QcZmapGmobv6RFwFLgpg6PrZS0QdKGXbt2DTo0M7ORNbTEL+lg4Argwoi4v/3xiFgbERMRMbFgwYLBB2hmNqKGkvglzSNL+p+NiHXDiMHMLFXDGNUj4BPAloj4s0Hv38wsdcOo8S8DXgOcIunm/O+MIcRhZpakgQ/njIh/AjTo/ZqZWcYzd83MEuPEb2aWGCd+M7PEOPGbmSXGid/MLDFO/GZmiXHiNzNLjBO/mVlinPjNzBLjxG9mlhgnfjOzxDjxm5klxonfzCwxTvxmZolx4jczS4wTv5lZYpz4zcwS48RvZpYYJ34zs8Q48ZuZJcaJ38wsMU78ZmaJceI3M0uME7+ZWWKc+M3MEuPEb2aWGCd+M7PEOPGbmSXGid/MLDFO/GZmiXHiNzNLjBO/mVlinPjNzBLjxG9mlhgnfjOzxAwl8Us6TdJWSd+TtHoYMZiZpWrgiV/SHOAjwOnA8cBvSTp+0HGYmaVqGDX+XwG+FxHfj4iHgS8AZw8hDjOzJM0dwj7Hgf9ouX8v8KvtT5K0EliZ331I0m0DiK1ODgfuG3YQA5RaecFlTsGwy/vUThuHkfjVYVvstyFiLbAWQNKGiJioOrA6Sa3MqZUXXOYU1LW8w2jquRd4Ssv9o4HtQ4jDzCxJw0j83waOk7RY0hOBVwNXDyEOM7MkDbypJyIekfRGYD0wB/hkRNw+y8vWVh9Z7aRW5tTKCy5zCmpZXkXs17xuZmYjzDN3zcwS48RvZpaY2if+FJZ3kPRJSTtb5ypIepKkayXdmf972DBjLJOkp0i6QdIWSbdLuiDfPpJllnSApH+VdEte3j/Jt49keVtJmiNps6Sv5vdHusyS7pJ0q6SbJW3It9WuzLVO/Akt73AZcFrbttXAdRFxHHBdfn9UPAL8cUT8EnAy8Af5cR3VMj8EnBIRzwFOAE6TdDKjW95WFwBbWu6nUOYXRMQJLeP3a1fmWid+ElneISK+Cfxn2+azgcvz25cDKwYaVIUiYkdEbMpvP0CWGMYZ0TJH5sH87rz8LxjR8k6RdDRwJvDxls0jXeZp1K7MdU/8nZZ3GB9SLIN2ZETsgCxRAkcMOZ5KSFoELAVuYoTLnDd53AzsBK6NiJEub+6DwFuBR1u2jXqZA7hG0sZ82RmoYZmHsWRDNwot72DNJOlg4Argwoi4X+p0uEdDROwFTpA0H/g7Sc8adkxVkvQSYGdEbJT0/GHHM0DLImK7pCOAayXdMeyAOql7jT/l5R1+JOkogPzfnUOOp1SS5pEl/c9GxLp880iXGSAidgPfIOvTGeXyLgPOknQXWRPtKZI+w2iXmYjYnv+7E/g7subq2pW57ok/5eUdrgbOy2+fB1w1xFhKpaxq/wlgS0T8WctDI1lmSQvymj6SxoAXAXcwouUFiIg1EXF0RCwi+95eHxHnMsJllnSQpEOmbgOnArdRwzLXfuaupDPI2gqnlnd435BDKp2kzwPPJ1vC9UfAu4ErgS8BxwD3AK+MiPYO4EaS9OvA/wVu5fH237eRtfOPXJkl/VeyTr05ZJWtL0XEeyQ9mREsb7u8qectEfGSUS6zpGPJavmQNaN/LiLeV8cy1z7xm5lZuere1GNmZiVz4jczS4wTv5lZYpz4zcwS48RvZpYYJ35rPEkvy1dDbP17VNLpPb7feyS9KL99oaQDWx57cPpX7vMeKyS9a5rHCr3HNK99v6RTen29GXg4p42gfI2U/0G2SuKjsz1/lve6C5iIiPvy+w9GxMEFXvfPwFlTr2t7rNB7TPO+TwU+FhGn9vJ6M3CN30aMpGcA7wJeM5X0Ja2S9G1J/9ayFv6i/HoAH8vXyL8mn1WLpMsknSPpTcBC4AZJN7Ts43352vr/IunIaWJ4qOXHYrGkG/MY3tv23P1iy7e/U9Id+frtn5f0FoCIuBt4sqRfLPd/zlLixG8jI1//53Nks0TvybedChxHtmbKCcBJkn4zf8lxwEci4peB3cArWt8vIv6CbG2oF0TEC/LNBwH/kq+t/03g9R1CWQZsarn/IeCjEfFc4Ict8XaMTdJEHstS4OXABPvalO/DrCd1X53TrBvvBW6PiC+0bDs1/9uc3z+YLNneA/wgIm7Ot28EFhXYx8PAV1te8+IOzzkK2NVyfxmP/6h8Gvhfs8R2CHBVREwCSPpK2/vvJDsTMeuJE7+NhHw9mFcAJ7Y/BFwcEX/d9vxFZFfGmrIXGCuwqz3xeMfYXjp/hyaBX2jb1qkzbbrY3jxLDAfk+zDriZt6rPHya5h+Cvid/IperdYDr83X/kfSeL5WelEPkNXAu7EFeHrL/W+RrVAJWafzbLH9E/BSZdfqPZjsKlatnkG26qNZT1zjt1Hw+2RXNfpo28VcLo6IL0r6JeDG/LEHgXPJautFrAW+LmlHSzv/bL4JfECS8rODC4DPKbuo/BVTT4qIazrFFhHflnQ1cAtwN7AB+Ak81o/x9HybWU88nNOsApI+BHwlIv6xx9cfHBEP5nMIvgmsjIhNkl4GnBgR7ywzXkuLm3rMqvGnwIGzPmt6a5Vdo3cTcMXUxenJztI/0G9wljbX+M3MEuMav5lZYpz4zcwS48RvZpYYJ34zs8Q48ZuZJeb/AxqUonyAYXIWAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = obs_table[\"ZEN_PNT\"]\n", "y = obs_table[\"EVENT_COUNT\"] / obs_table[\"ONTIME\"]\n", "plt.plot(x, y, \"o\")\n", "plt.xlabel(\"Zenith (deg)\")\n", "plt.ylabel(\"Rate (events / sec)\")\n", "plt.ylim(0, 10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The energy threshold increases, as expected. It's a bit surprising that the total background rate doesn't decreases with increasing zenith angle. That's a bit of luck for this configuration, and because we're looking at the rate of background events in the whole field of view. As shown below, the energy threshold increases (reducing the total rate), but the rate at a given energy increases with zenith angle (increasing the total rate). Overall the background does change with zenith angle and that dependency should be taken into account.\n", "\n", "The remaining scatter you see in the plots above (in energy threshold and rate) is due to dependence on telescope optical efficiency, atmospheric changes from run to run and other effects. If you're interested in this, [2014APh....54...25H](https://ui.adsabs.harvard.edu/abs/2014APh....54...25H) has some infos. We'll not consider this futher.\n", "\n", "When faced with the question whether and how to model the zenith angle dependence, we're faced with a complex optimisation problem: the closer we require off runs to be in zenith angle, the fewer off runs and thus event statistic we have available, which will lead do noise in the background model. The choice of zenith angle binning or \"on-off observation mathching\" strategy isn't the only thing that needs to be optimised, there's also energy and offset binnings and smoothing scales. And of course good settings will depend on the way you plan to use the background model, i.e. the science measurement you plan to do. Some say background modeling is the hardest part of IACT data analysis.\n", "\n", "Here we'll just code up something simple: make three background models, one from the off runs with zenith angle 0 to 20 deg, one from 20 to 40 deg, and one from 40 to 90 deg." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "zenith_bins = [\n", " {\"min\": 0, \"max\": 20},\n", " {\"min\": 20, \"max\": 40},\n", " {\"min\": 40, \"max\": 90},\n", "]\n", "\n", "\n", "def make_model(observations):\n", " energy = MapAxis.from_energy_bounds(\n", " 0.1, 100, 20, name=\"energy\", unit=\"TeV\"\n", " )\n", " offset = MapAxis.from_bounds(\n", " 0, 3, nbin=9, interp=\"sqrt\", unit=\"deg\", name=\"offset\"\n", " )\n", " estimator = BackgroundModelEstimator(energy, offset)\n", " estimator.run(observations)\n", " return estimator.background_rate\n", "\n", "\n", "def make_models():\n", " for zenith in zenith_bins:\n", " mask = zenith[\"min\"] <= obs_table[\"ZEN_PNT\"]\n", " mask &= obs_table[\"ZEN_PNT\"] < zenith[\"max\"]\n", " obs_ids = obs_table[\"OBS_ID\"][mask]\n", " observations = data_store.get_observations(obs_ids)\n", " yield make_model(observations)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.02 s, sys: 77.3 ms, total: 2.1 s\n", "Wall time: 2.1 s\n" ] } ], "source": [ "%%time\n", "models = list(make_models())" ] }, { "cell_type": "code", "execution_count": 13, "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": [ "y = models[0].data.evaluate(energy=energy.center, offset=\"0.5 deg\")\n", "plt.plot(energy.center, y, label=\"0 < zen < 20\")\n", "y = models[1].data.evaluate(energy=energy.center, offset=\"0.5 deg\")\n", "plt.plot(energy.center, y, label=\"20 < zen < 40\")\n", "y = models[2].data.evaluate(energy=energy.center, offset=\"0.5 deg\")\n", "plt.plot(energy.center, y, label=\"40 < zen < 90\")\n", "plt.loglog()\n", "plt.xlabel(\"Energy (TeV)\")\n", "plt.ylabel(\"Bkg rate (s-1 sr-1 MeV-1)\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Index tables\n", "\n", "So now we have radially symmetric background models for three zenith angle bins. To be able to use it from the high-level Gammapy classes like e.g. the MapMaker though, we also have to create a [HDU index table](https://gamma-astro-data-formats.readthedocs.io/en/latest/data_storage/hdu_index/index.html) that declares which background model to use for each observation.\n", "\n", "It sounds harder than it actually is. Basically you have to some code to make a new `astropy.table.Table`. The most tricky part is that before you can make the HDU index table, you have to decide where to store the data, because the HDU index table is a reference to the data location. Let's decide in this example that we want to re-use all existing files in `$GAMMAPY_DATA/hess-dl3-dr1` and put all the new HDUs (for background models and new index files) bundled in a single FITS file called `hess-dl3-dr3-with-background.fits.gz`, which we will put in `$GAMMAPY_DATA/hess-dl3-dr1`." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "filename = \"hess-dl3-dr3-with-background.fits.gz\"\n", "\n", "# Make a new table with one row for each observation\n", "# pointing to the background model HDU\n", "rows = []\n", "for obs_row in data_store.obs_table:\n", " row = {\n", " \"OBS_ID\": obs_row[\"OBS_ID\"],\n", " \"HDU_TYPE\": \"bkg\",\n", " \"HDU_CLASS\": \"bkg_2d\",\n", " \"FILE_DIR\": \"\",\n", " \"FILE_NAME\": filename,\n", " \"HDU_NAME\": \"BKG0\",\n", " }\n", " rows.append(row)\n", "\n", "hdu_table_bkg = Table(rows=rows)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Make a copy of the original HDU index table\n", "hdu_table = data_store.hdu_table.copy()\n", "hdu_table.meta.pop(\"BASE_DIR\")\n", "\n", "# Add the rows for the background HDUs\n", "hdu_table = vstack([hdu_table, hdu_table_bkg])\n", "hdu_table.sort(\"OBS_ID\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "HDUIndexTable length=6\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
OBS_IDHDU_TYPEHDU_CLASSFILE_DIRFILE_NAMEHDU_NAMESIZE
int64str6str9str4str36str6int64
20137bkgbkg_3ddatahess_dl3_dr1_obs_id_020137.fits.gzbkg207360
20137edispedisp_2ddatahess_dl3_dr1_obs_id_020137.fits.gzedisp377280
20137eventseventsdatahess_dl3_dr1_obs_id_020137.fits.gzevents216000
20137gtigtidatahess_dl3_dr1_obs_id_020137.fits.gzgti5760
20137psfpsf_tabledatahess_dl3_dr1_obs_id_020137.fits.gzpsf118080
20137bkgbkg_2dhess-dl3-dr3-with-background.fits.gzBKG0--
" ], "text/plain": [ "\n", "OBS_ID HDU_TYPE HDU_CLASS ... HDU_NAME SIZE \n", "int64 str6 str9 ... str6 int64 \n", "------ -------- --------- ... -------- ------\n", " 20137 bkg bkg_3d ... bkg 207360\n", " 20137 edisp edisp_2d ... edisp 377280\n", " 20137 events events ... events 216000\n", " 20137 gti gti ... gti 5760\n", " 20137 psf psf_table ... psf 118080\n", " 20137 bkg bkg_2d ... BKG0 --" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hdu_table[8:14]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['PRIMARY', 'HDU_INDEX', 'OBS_INDEX', 'BKG0', 'BKG1', 'BKG2']\n" ] } ], "source": [ "# Put index tables and background models in a FITS file\n", "hdu_list = fits.HDUList()\n", "\n", "hdu = fits.BinTableHDU(hdu_table)\n", "hdu.name = \"HDU_INDEX\"\n", "hdu_list.append(hdu)\n", "\n", "hdu = fits.BinTableHDU(data_store.obs_table)\n", "hdu_list.append(hdu)\n", "\n", "for idx, model in enumerate(models):\n", " hdu = model.to_table_hdu()\n", " hdu.name = f\"BKG{idx}\"\n", " hdu_list.append(hdu)\n", "\n", "print([_.name for _ in hdu_list])\n", "\n", "import os\n", "\n", "path = (\n", " Path(os.environ[\"GAMMAPY_DATA\"])\n", " / \"hess-dl3-dr1/hess-dl3-dr3-with-background.fits.gz\"\n", ")\n", "hdu_list.writeto(path, overwrite=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Found multiple HDU matching: OBS_ID = 20137, HDU_TYPE = bkg, HDU_CLASS = None. Returning the first entry, which has HDU_TYPE = bkg and HDU_CLASS = bkg_3d\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Data store:\n", "HDU index table:\n", "BASE_DIR: /Users/adonath/Desktop/gammapy-tutorials/datasets/hess-dl3-dr1\n", "Rows: 735\n", "OBS_ID: 20136 -- 47829\n", "HDU_TYPE: ['aeff', 'bkg', 'edisp', 'events', 'gti', 'psf']\n", "HDU_CLASS: ['aeff_2d', 'bkg_2d', 'bkg_3d', 'edisp_2d', 'events', 'gti', 'psf_table']\n", "\n", "\n", "Observation table:\n", "Observatory name: 'N/A'\n", "Number of observations: 105\n", "\n" ] } ], "source": [ "# Let's see if it's possible to access the data\n", "ds2 = DataStore.from_file(path)\n", "ds2.info()\n", "obs = ds2.obs(20137)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# the events\n", "obs.events.peek()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/adonath/software/anaconda3/envs/gammapy-dev/lib/python3.7/site-packages/astropy/units/quantity.py:477: RuntimeWarning: invalid value encountered in true_divide\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# the effective area\n", "obs.aeff.peek()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/adonath/software/anaconda3/envs/gammapy-dev/lib/python3.7/site-packages/astropy/units/quantity.py:477: RuntimeWarning: invalid value encountered in true_divide\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", "/Users/adonath/software/anaconda3/envs/gammapy-dev/lib/python3.7/site-packages/astropy/units/quantity.py:477: RuntimeWarning: divide by zero encountered in true_divide\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# the background\n", "obs.bkg.peek()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "- Play with the parameters here (energy binning, offset binning, zenith binning)\n", "- Try to figure out why there are outliers on the zenith vs energy threshold curve.\n", "- Does azimuth angle or optical efficiency have an effect on background rate?\n", "- Use the background models for a 3D analysis (see \"hess\" notebook)." ] } ], "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 }