{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Detector Hits + Oscillations 1 (Obsolete)\n", "\n", "Demonstrate the total number of hits in the IceCube detector after implementaing neutrino oscillations. \n", "\n", "This notebook uses files generated using the notebook `detector_hits_file`.\n", "\n", "The progenitor model used is the Nakazato Shen model with z = 0.02, t$_{rev}$ = 300ms, m = 13.0M$_\\odot$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from astropy import units as u\n", "from astropy.table import Table\n", "\n", "import numpy as np\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "from asteria import config, source, detector\n", "from asteria.neutrino import Flavor\n", "\n", "mpl.rc('font', size=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare Iterables\n", "\n", "Define the range of neutrino energies (`E_nu`) to simulate and the times (`time`) and distances (`dist`) at which to perform the simulation. \n", "The progenitor distance is set to 1 kpc." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "E_min = 0.1; E_max = 100.1; dE = 0.1;\n", "Enu = np.arange(E_min, E_max, dE) * u.MeV\n", "\n", "t_min = -1; t_max = 15; dt = 0.0001;\n", "time = np.arange(t_min, t_max, dt) * u.s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Configuration\n", "\n", "This will load the source configuration from a file.\n", "\n", "For this to work, either the user needs to have done one of two things:\n", "1. Run `python setup.py install` in the ASTERIA directory.\n", "2. Run `python setup.py develop` and set the environment variable `ASTERIA` to point to the git source checkout.\n", "\n", "If these were not done, the initialization will fail because the paths will not be correctly resolved." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "conf = config.load_config('../../data/config/nakazato-shen-z0.02-t_rev300ms-s13.0.yaml')\n", "ccsn = source.initialize(conf)\n", "ic86 = detector.initialize(conf)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "icecube_dt = 2e-3 #s\n", "deadtime = 0.25e-3\n", "dc_rel_eff = 1.35\n", "\n", "doms = ic86.doms_table()\n", "n_i3_doms = len(doms[doms['type'] == 'i3'])\n", "n_dc_doms = len(doms[doms['type'] == 'dc'])\n", "\n", "i3_dom_bg_mu = 284.9\n", "i3_dom_bg_sig = 26.2\n", "\n", "dc_dom_bg_mu = 358.9;\n", "dc_dom_bg_sig = 36.0;\n", "\n", "i3_bg_mu = 2933.72 \n", "i3_bg_sig = 85.8662 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define Helper Functions\n", "\n", "- `hits` Scale the original signal `signal` calculated for a progenitor at 1 kpc by the distance `dist` of the new progenitor, and use the new signal to generate and return detector hits for the given progenitor. The deadtime fractions used to generate hits are scaled by the `timebin` being used.\n", "\n", "- `rebin` Reshape the independent variable `var` with resolution `old_binning` and dependent variable `data` (assumed to be numpy array) and return new arrays `var` and `data` with resolution `new_binning`.\n", "\n", "- `background` Use `timebin` to scale the mean background and the uncertainty, and return a randomly sampled array of length `len_array`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def hits(signal, dist, timebin):\n", " total_signal = np.sum(signal, axis = 0) / dist**2\n", " eps_i3 = 0.87 / (1+deadtime* total_signal/timebin)\n", " eps_dc = 0.87 / (1+deadtime*total_signal*dc_rel_eff/timebin)\n", " hits = ic86.detector_hits(abs(total_signal), eps_i3, eps_dc)\n", " return hits" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def rebin(var, data, old_binning, new_binning):\n", " step = int(new_binning/old_binning)\n", " new_size = int(data.size / step)\n", " \n", " rebinned_data = np.sum(np.split( data, new_size ), axis=1)\n", " rebinned_var = var.value[int(0.5 * step)::step] \n", " \n", " return rebinned_var, rebinned_data" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def background(timebin, len_array):\n", " # Calculating Background:\n", " dr = (n_i3_doms*i3_dom_bg_mu + n_dc_doms*dc_dom_bg_mu ) * timebin;\n", " dr_er = np.sqrt((n_i3_doms*i3_dom_bg_sig**2 + n_dc_doms*dc_dom_bg_sig**2) * timebin)\n", " return np.random.normal(dr, dr_er, len_array)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read Data from `nakazato-shen-z0.02-t_rev300ms-s13.0_e_per_v.fits`" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "table = Table.read('nakazato-shen-z0.02-t_rev300ms-s13.0_e_per_v.fits')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "sig = np.asarray([table['unmixed nu_e sig'], table['unmixed nu_e_bar sig'], table['unmixed nu_x sig'], table['unmixed nu_x_bar sig']])\n", "sig_norm = np.asarray([table['normal nu_e sig'], table['normal nu_e_bar sig'], table['normal nu_x sig'], table['normal nu_x_bar sig']])\n", "sig_inv = np.asarray([table['inverted nu_e sig'], table['inverted nu_e_bar sig'], table['inverted nu_x sig'], table['inverted nu_x_bar sig']])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Scale signal to icecube_dt\n", "sig_2ms = []\n", "sig_norm_2ms = []\n", "sig_inv_2ms = []\n", "for i in range(len(Flavor)):\n", " time_2ms, sig_ = rebin(time, sig[i], dt, icecube_dt)\n", " time_2ms, sig_norm_ = rebin(time, sig_norm[i], dt, icecube_dt)\n", " time_2ms, sig_inv_ = rebin(time, sig_inv[i], dt, icecube_dt)\n", " sig_2ms.append(sig_)\n", " sig_norm_2ms.append(sig_norm_)\n", " sig_inv_2ms.append(sig_inv_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hits vs time for various progenitor distances" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Plotting nu_e_bar hits for each oscillation scenario\n", "fig, axes = plt.subplots(1, 3, figsize = (15, 4), sharex = True, sharey = True)\n", "ax1, ax2, ax3 = axes\n", "fig.suptitle(r'Detector Hits', fontsize = 18, y = 1.015)\n", "for d in range(5, 31, 5):\n", " new_hits = hits(sig_2ms, d, icecube_dt)\n", " hits_n = hits(sig_norm_2ms, d, icecube_dt)\n", " hits_i = hits(sig_inv_2ms, d, icecube_dt)\n", " \n", " ax1.plot(time_2ms, new_hits, label = '{0} kpc'.format(d))\n", " ax1.set(#xlim = (0, 0.1),\n", " xlabel = 'Time',\n", " ylabel = 'Detector Hits',\n", " title = 'Unmixed')\n", " ax1.legend()\n", " \n", " ax2.plot(time_2ms, hits_n, label = '{0} kpc'.format(d))\n", " ax2.set(xlim = (-0.25, 1.25),\n", " xlabel = 'Time',\n", " ylabel = 'Detector Hits',\n", " title = 'Normal')\n", " ax2.legend()\n", " \n", " ax3.plot(time_2ms, hits_i, label = '{0} kpc'.format(d))\n", " ax3.set(#xlim = (-0.25, 1.25),\n", " xlabel = 'Time',\n", " ylabel = 'Detector Hits',\n", " title = 'Inverted')\n", " ax3.legend()\n", "\n", "fig.tight_layout()\n", "# fig.subplots_adjust(top = 0.88)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hits + Backgroud for 10kpc" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize = (15, 4), sharex = True, sharey = True)\n", "ax1, ax2, ax3 = axes\n", "fig.suptitle(r'Detector Hits + BG, 10kpc', fontsize = 18, y = 1.017)\n", "new_hits = hits(sig_2ms, 10, icecube_dt)\n", "hits_n = hits(sig_norm_2ms, 10, icecube_dt)\n", "hits_i = hits(sig_inv_2ms, 10, icecube_dt)\n", "\n", "ax1.plot(time_2ms, new_hits + background(icecube_dt, len(time_2ms)))\n", "ax1.set(#xlim = (0, 0.1),\n", " xlabel = 'Time',\n", " ylabel = 'Detector Hits',\n", " title = 'Unmixed')\n", "\n", "ax2.plot(time_2ms, hits_n + background(icecube_dt, len(time_2ms)))\n", "ax2.set(#xlim = (-0.25, 1.25),\n", " xlabel = 'Time',\n", " ylabel = 'Detector Hits',\n", " title = 'Normal')\n", "\n", "ax3.plot(time_2ms, hits_i + background(icecube_dt, len(time_2ms)))\n", "ax3.set(#xlim = (-0.25, 1.25),\n", " xlabel = 'Time',\n", " ylabel = 'Detector Hits',\n", " title = 'Inverted')\n", "\n", "fig.tight_layout()\n", "# fig.subplots_adjust(top = 0.88)\n" ] }, { "cell_type": "code", "execution_count": null, "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }