{ "cells": [ { "cell_type": "markdown", "id": "23a73cd7", "metadata": {}, "source": [ "# Simulation\n", "\n", "We can bring together the detector and source modelling to calculate the expected number of neutrino events and run simulations." ] }, { "cell_type": "code", "execution_count": 1, "id": "9c39cc14", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:05.207795Z", "iopub.status.busy": "2024-03-22T09:57:05.207608Z", "iopub.status.idle": "2024-03-22T09:57:05.594557Z", "shell.execute_reply": "2024-03-22T09:57:05.593836Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from matplotlib.patches import Circle\n", "from matplotlib.collections import PatchCollection\n", "import h5py" ] }, { "cell_type": "markdown", "id": "c0e8d0ef", "metadata": {}, "source": [ "## Defining a source and detector model" ] }, { "cell_type": "code", "execution_count": 2, "id": "e58d3d63", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:05.597864Z", "iopub.status.busy": "2024-03-22T09:57:05.597388Z", "iopub.status.idle": "2024-03-22T09:57:06.448541Z", "shell.execute_reply": "2024-03-22T09:57:06.447811Z" } }, "outputs": [], "source": [ "from icecube_tools.detector.effective_area import EffectiveArea\n", "from icecube_tools.detector.energy_resolution import EnergyResolution\n", "from icecube_tools.detector.angular_resolution import AngularResolution\n", "from icecube_tools.detector.detector import IceCube\n", "from icecube_tools.source.flux_model import PowerLawFlux\n", "from icecube_tools.source.source_model import DiffuseSource, PointSource\n", "from icecube_tools.detector.r2021 import R2021IRF\n", "from icecube_tools.utils.data import SimEvents" ] }, { "cell_type": "code", "execution_count": 3, "id": "c6a8c489", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:06.451514Z", "iopub.status.busy": "2024-03-22T09:57:06.451294Z", "iopub.status.idle": "2024-03-22T09:57:07.656346Z", "shell.execute_reply": "2024-03-22T09:57:07.655670Z" } }, "outputs": [], "source": [ "# Define detector (see detector model notebook for more info)\n", "aeff = EffectiveArea.from_dataset(\"20210126\", \"IC86_II\")\n", "irf = R2021IRF.from_period(\"IC86_II\")\n", "# IceCube expects an instance of EffectiveAerea, AngularResolution and\n", "# EnergyResolution, optionally the period (here IC86_I)\n", "# R2021IRF inherits from AngularResolution and EnergyResolution\n", "# just to be able to be used as both\n", "detector = IceCube(aeff, irf, irf, \"IC86_II\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "1200fe14", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:07.659150Z", "iopub.status.busy": "2024-03-22T09:57:07.658879Z", "iopub.status.idle": "2024-03-22T09:57:07.663608Z", "shell.execute_reply": "2024-03-22T09:57:07.663070Z" } }, "outputs": [], "source": [ "# Define simple sources (see source model notebook for more info)\n", "diff_flux_norm = 3e-21 # Flux normalisation in units of GeV^-1 cm^-2 s^-1 sr^-1\n", "point_flux_norm = 5e-19 # Flux normalisation in units of GeV^-1 cm^-2 s^-1\n", "norm_energy = 1e5 # Energy of normalisation in units of GeV\n", "min_energy = 1e2 # GeV\n", "max_energy = 1e8 # GeV\n", "\n", "diff_power_law = PowerLawFlux(diff_flux_norm, norm_energy, 3.7, min_energy, max_energy)\n", "diff_source = DiffuseSource(diff_power_law, z=0.0)\n", "\n", "point_power_law = PowerLawFlux(\n", " point_flux_norm, norm_energy, 2.5, min_energy, max_energy\n", ")\n", "point_source = PointSource(point_power_law, z=0.0, coord=(np.pi, np.deg2rad(30)))\n", "sources = [diff_source, point_source]" ] }, { "cell_type": "markdown", "id": "0b13224e", "metadata": {}, "source": [ "## Expected number of neutrino events\n", "\n", "Sometimes we just want to predict the number of events from sources in a detector without specifying all detector properties or running a simulation. We can do this with the `NeutrinoCalculator`. For this, we just need a source list and an effective area." ] }, { "cell_type": "code", "execution_count": 5, "id": "f55db0c5", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:07.665883Z", "iopub.status.busy": "2024-03-22T09:57:07.665674Z", "iopub.status.idle": "2024-03-22T09:57:07.669939Z", "shell.execute_reply": "2024-03-22T09:57:07.669435Z" } }, "outputs": [], "source": [ "from icecube_tools.neutrino_calculator import NeutrinoCalculator, PhiSolver" ] }, { "cell_type": "code", "execution_count": 6, "id": "ece587ba", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:07.672312Z", "iopub.status.busy": "2024-03-22T09:57:07.671922Z", "iopub.status.idle": "2024-03-22T09:57:07.679498Z", "shell.execute_reply": "2024-03-22T09:57:07.678807Z" } }, "outputs": [ { "data": { "text/plain": [ "[185.18577999134666, 24.51408397397894]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nu_calc = NeutrinoCalculator(sources, aeff)\n", "nu_calc(\n", " time=1, # years\n", " min_energy=min_energy,\n", " max_energy=max_energy, # energy range\n", " min_cosz=-1,\n", " max_cosz=1,\n", ") # cos(zenith) range" ] }, { "cell_type": "markdown", "id": "35f667f3", "metadata": {}, "source": [ "The calculator returns a list of expected neutrino event numbers, one for each source.\n", "\n", "We may also want to do the inverse, and find the `PointSource` flux normalisation corresponding to an expected number of events. For this there is the `PhiSolver` class." ] }, { "cell_type": "code", "execution_count": 7, "id": "0f2e566e", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:07.681902Z", "iopub.status.busy": "2024-03-22T09:57:07.681522Z", "iopub.status.idle": "2024-03-22T09:57:07.690398Z", "shell.execute_reply": "2024-03-22T09:57:07.689746Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.9.18/x64/lib/python3.9/site-packages/icecube_tools/neutrino_calculator.py:294: RuntimeWarning: The iteration is not making good progress, as measured by the \n", " improvement from the last ten iterations.\n", " phi_norm = fsolve(self._solve_for_phi, x0=guess, args=(Nnu, dec, index))[0]\n" ] }, { "data": { "text/plain": [ "1.1444338237452659e-17" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "phi_solver = PhiSolver(\n", " aeff, norm_energy, min_energy, max_energy, time=1, min_cosz=-1, max_cosz=1\n", ")\n", "phi_norm = phi_solver(Nnu=15, dec=-30, index=2.0) # degrees # spectral index\n", "phi_norm # GeV^-1 cm^-2 s^-1" ] }, { "cell_type": "markdown", "id": "a1fdb622", "metadata": {}, "source": [ "## Set up and run simulation" ] }, { "cell_type": "code", "execution_count": 8, "id": "fc468dd0", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:07.692810Z", "iopub.status.busy": "2024-03-22T09:57:07.692433Z", "iopub.status.idle": "2024-03-22T09:57:07.696177Z", "shell.execute_reply": "2024-03-22T09:57:07.695672Z" } }, "outputs": [], "source": [ "from icecube_tools.simulator import Simulator, TimeDependentSimulator" ] }, { "cell_type": "code", "execution_count": 9, "id": "099bbfff", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:07.698270Z", "iopub.status.busy": "2024-03-22T09:57:07.698072Z", "iopub.status.idle": "2024-03-22T09:57:08.565893Z", "shell.execute_reply": "2024-03-22T09:57:08.565131Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", "Sampling: 0%| | 0/204 [00:00" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot energies\n", "bins = np.geomspace(1e2, max_energy)\n", "fig, ax = plt.subplots()\n", "ax.hist(events.true_energy[\"IC86_II\"], bins=bins, alpha=0.7, label=\"E_true\")\n", "ax.hist(events.reco_energy[\"IC86_II\"], bins=bins, alpha=0.7, label=\"E_reco\")\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.set_xlabel(\"E [GeV]\")\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 17, "id": "bcf15e26", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:09.382616Z", "iopub.status.busy": "2024-03-22T09:57:09.382133Z", "iopub.status.idle": "2024-03-22T09:57:10.102457Z", "shell.execute_reply": "2024-03-22T09:57:10.101791Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot directions\n", "ps_sel = events.source_label[\"IC86_II\"] == 1\n", "\n", "fig, ax = plt.subplots(subplot_kw={\"projection\": \"aitoff\"})\n", "fig.set_size_inches((12, 7))\n", "\n", "circles = []\n", "for r, d, a in zip(\n", " events.ra[\"IC86_II\"][~ps_sel],\n", " events.dec[\"IC86_II\"][~ps_sel],\n", " events.ang_err[\"IC86_II\"][~ps_sel],\n", "):\n", " circle = Circle((r - np.pi, d), radius=np.deg2rad(a))\n", " circles.append(circle)\n", "df_nu = PatchCollection(circles)\n", "\n", "circles = []\n", "for r, d, a in zip(\n", " events.ra[\"IC86_II\"][ps_sel],\n", " events.dec[\"IC86_II\"][ps_sel],\n", " events.ang_err[\"IC86_II\"][ps_sel],\n", "):\n", " circle = Circle((r - np.pi, d), radius=np.deg2rad(a))\n", " circles.append(circle)\n", "ps_nu = PatchCollection(circles, color=\"r\")\n", "\n", "ax.add_collection(df_nu)\n", "ax.add_collection(ps_nu)\n", "\n", "ax.grid()\n", "fig.savefig(\"example_simulation.png\", dpi=150)" ] }, { "cell_type": "markdown", "id": "a41a7987", "metadata": {}, "source": [ "# Time dependent simulation\n", "\n", "We can simulate an observation campaign spanning multiple data periods of IceCube through a \"meta class\" `TimeDependentSimulator`:" ] }, { "cell_type": "code", "execution_count": 18, "id": "00173811", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:10.105793Z", "iopub.status.busy": "2024-03-22T09:57:10.105392Z", "iopub.status.idle": "2024-03-22T09:57:11.153139Z", "shell.execute_reply": "2024-03-22T09:57:11.152455Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.9.18/x64/lib/python3.9/site-packages/icecube_tools/detector/r2021.py:89: RuntimeWarning: divide by zero encountered in log10\n", " self.dataset[:, 6:-1] = np.log10(self.dataset[:, 6:-1])\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Empty true energy bins at: [(0, 0), (1, 0)]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Need to set simulation times, defaults to 1 year each.\n" ] } ], "source": [ "tsim = TimeDependentSimulator([\"IC86_I\", \"IC86_II\"], sources)" ] }, { "cell_type": "markdown", "id": "2c043d4f", "metadata": {}, "source": [ "We need to set simulation times for all periods. Since for past periods the simulation time shouldn't be larger than the actual observation time (that is time span - down time of the detector) we need to take care, or rather, we let the class `Uptime` take care:" ] }, { "cell_type": "code", "execution_count": 19, "id": "e48b0fa0", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:11.155882Z", "iopub.status.busy": "2024-03-22T09:57:11.155493Z", "iopub.status.idle": "2024-03-22T09:57:11.158463Z", "shell.execute_reply": "2024-03-22T09:57:11.157888Z" } }, "outputs": [], "source": [ "from icecube_tools.utils.data import Uptime" ] }, { "cell_type": "markdown", "id": "3c7781c0", "metadata": {}, "source": [ "It lets us calculate the actual observation time through, e.g. IC86_II, vs the time covered:" ] }, { "cell_type": "code", "execution_count": 20, "id": "845bb3ec", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:11.160832Z", "iopub.status.busy": "2024-03-22T09:57:11.160467Z", "iopub.status.idle": "2024-03-22T09:57:11.169287Z", "shell.execute_reply": "2024-03-22T09:57:11.168665Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.9089039325939252, 1.0157235341273203)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uptime = Uptime(\"IC86_I\", \"IC86_II\")\n", "uptime._time_obs(\"IC86_II\"), uptime.time_span()[\"IC86_II\"]" ] }, { "cell_type": "markdown", "id": "0376e604", "metadata": {}, "source": [ "We can further define a start and end time of an observation and let it calculate the observation time in each period. Viable possible options are\n", " - start and end time in MJD\n", " - start time in MJD and duration in years\n", " - end time in MJD and duration in years\n", "\n", "If the start time is before the earliest period (IC_40), the start time will be set to the earliest possible date.\n", "\n", "If the end time is past the last period (IC86_II), then we get an according message and simulate into the future.\n", "\n", "We can of course bypass this time setting and operate directly on the instances of Simulator, for example if we'd want to build up large statistics for subsequent likelihood analysis." ] }, { "cell_type": "code", "execution_count": 21, "id": "fda2b929", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:11.171647Z", "iopub.status.busy": "2024-03-22T09:57:11.171447Z", "iopub.status.idle": "2024-03-22T09:57:11.176283Z", "shell.execute_reply": "2024-03-22T09:57:11.175656Z" } }, "outputs": [ { "data": { "text/plain": [ "{'IC86_I': 0.4798785512080253, 'IC86_II': 2.425230588331747}" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "times = uptime.find_obs_time(start=55869, duration=3)\n", "times" ] }, { "cell_type": "markdown", "id": "15327f4d", "metadata": {}, "source": [ "The returned dictionary can be used to set the simulation times for an instance of `TimeDependentSimulator`:" ] }, { "cell_type": "code", "execution_count": 22, "id": "21084e85", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:11.178665Z", "iopub.status.busy": "2024-03-22T09:57:11.178303Z", "iopub.status.idle": "2024-03-22T09:57:11.181230Z", "shell.execute_reply": "2024-03-22T09:57:11.180693Z" } }, "outputs": [], "source": [ "tsim.time = times" ] }, { "cell_type": "markdown", "id": "75a44c21", "metadata": {}, "source": [ "The simulation is started by calling `run()`, results can be saved by `save(file_prefix)`, with the filename being `{file_prefix}_{p}.h5` with period `p`." ] }, { "cell_type": "code", "execution_count": 23, "id": "8c3afb3d", "metadata": { "execution": { "iopub.execute_input": "2024-03-22T09:57:11.183686Z", "iopub.status.busy": "2024-03-22T09:57:11.183217Z", "iopub.status.idle": "2024-03-22T09:57:12.914413Z", "shell.execute_reply": "2024-03-22T09:57:12.913718Z" }, "lines_to_next_cell": 2 }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", "Sampling: 0%| | 0/94 [00:00