{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/me-manu/gammaALPs/blob/master/docs/tutorials/mixing_ICM_Gaussian_Turbulence.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mixing in Gaussian turbulence field: Perseus cluster and from NGC 1275" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial demonstrates how to calculate the photon-ALP transition probability in a magnetic field with Gaussian turbulence on the example of the Perseus cluster with the central radio galaxy NGC 1275. The assumed B-field environments are the same as in Ajello et al. (2016) and include the cluster field and the magnetic field of the Milky Way. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you haven't installed `gammaALPs` already, you can do so using `pip`. Just uncomment the line below:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "#!pip install gammaALPs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start of with the usual imports:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from gammaALPs.core import Source, ALP, ModuleList\n", "from gammaALPs.base import environs, transfer\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patheffects import withStroke\n", "from ebltable.tau_from_model import OptDepth\n", "from astropy import constants as c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And initialize an ALP object, which stores the ALP mass $m_a$ (in neV) and the coupling $g_{a\\gamma}$ (in $10^{-11}\\mathrm{GeV}^{-1}$)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "m, g = 1.,1.\n", "alp = ALP(m,g)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we set the source properties (redshift and sky coordinates) in the ```Source``` container. These can be taken form your favorite catalot for extragalactic objects, e.g., NED." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.017559\n", "49.950416666666655 41.51166666666666\n", "150.57567432060083 -13.261343544296324\n" ] } ], "source": [ "ngc1275 = Source(z=0.017559, ra='03h19m48.1s', dec='+41d30m42s')\n", "print (ngc1275.z)\n", "print (ngc1275.ra, ngc1275.dec)\n", "print (ngc1275.l, ngc1275.b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Init the module list\n", "Next, we can initialize the list of transfer modules that will store the different magnetic field environments. \n", "First, we provide the energies for which we would like to compute the conversion probability" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "EGeV = np.logspace(1., 3.5, 250)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now initialize the initial photon polarization. Since we are dealing with a gamma-ray source, no ALPs are initially present in the beam (third diagonal element is zero). The polarization density matrix is normalized such that its trace is equal to one, $\\mathrm{Tr}(\\rho_\\mathrm{in}) = 1$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "pin = np.diag((1.,1.,0.)) * 0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The module list is initialized with our choices for the ALP, our source, the initial polarization, and the energies at which we compute the photon-ALP mixing" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "ml = ModuleList(alp, ngc1275, pin = pin, EGeV = EGeV)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we add propagation modules for the cluster, the EBL, and the Galactic magnetic field.\n", "By setting `nsim=10` we calculate 10 random realizations of the magnetic field." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0;36menvirons.py:\u001b[0;35m 431\u001b[0;0m --- \u001b[1;36mINFO\u001b[1;0m: Using inputted chi\n", "\u001b[0;36menvirons.py:\u001b[0;35m1196\u001b[0;0m --- \u001b[1;36mINFO\u001b[1;0m: Using inputted chi\n" ] } ], "source": [ "ml.add_propagation(\"ICMGaussTurb\", \n", " 0, # position of module counted from the source. \n", " nsim=10, # number of random B-field realizations\n", " B0=10., # rms of B field in muG\n", " n0=3.9e-2, # normalization of electron density in cm-3\n", " n2=4.05e-3, # second normalization of electron density, see Churazov et al. 2003, Eq. 4 on cm-3\n", " r_abell=500., # extension of the cluster in kpc\n", " r_core=80., # electron density parameter, see Churazov et al. 2003, Eq. 4 in kpc\n", " r_core2=280., # electron density parameter, see Churazov et al. 2003, Eq. 4 in kpc\n", " beta=1.2, # electron density parameter, see Churazov et al. 2003, Eq. 4\n", " beta2=0.58, # electron density parameter, see Churazov et al. 2003, Eq. 4\n", " eta=0.5, # scaling of B-field with electron denstiy\n", " kL=0.18, # maximum turbulence scale in kpc^-1, taken from A2199 cool-core cluster, see Vacca et al. 2012 \n", " kH=9., # minimum turbulence scale, taken from A2199 cool-core cluster, see Vacca et al. 2012\n", " q=-2.80, # turbulence spectral index, taken from A2199 cool-core cluster, see Vacca et al. 2012\n", " seed=0 # random seed for reproducability, set to None for random seed.\n", " )\n", "ml.add_propagation(\"EBL\",1, eblmodel='dominguez') # EBL attenuation comes second, after beam has left cluster\n", "ml.add_propagation(\"GMF\",2, model='jansson12') # finally, the beam enters the Milky Way Field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "List the module names:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['MixICMGaussTurb', 'OptDepth', 'MixGMF']\n" ] } ], "source": [ "print(ml.modules.keys())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the ALP parameters before running the modules:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "ml.alp.m = 30.\n", "ml.alp.g = 0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also inspect the magnetic-field realization and electron density along the line of sight. The magnetic-field realizations are stored in `ml.modules[\"ICMGaussTurb\"].Bn`," ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(10, 4499)\n" ] } ], "source": [ "print (ml.modules[\"ICMGaussTurb\"].Bn.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And multiplying the magnetic field with the $\\psi$ angles stored in `ml.modules[\"ICMGaussTurb\"].Psin` will give us the two components transversal to the propagation direction:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$r$ (kpc)')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,4))\n", "ax1 = fig.add_subplot(121)\n", "ax2 = fig.add_subplot(122)\n", "\n", "for i, B in enumerate(ml.modules[\"ICMGaussTurb\"].Bn):\n", " ax1.plot(ml.modules[\"ICMGaussTurb\"].r,\n", " B * np.sin(ml.modules[\"ICMGaussTurb\"].psin[i]),\n", " lw=1,\n", " alpha=1 if not i else 0.1,\n", " color=plt.cm.tab10(0.)\n", " )\n", " ax2.plot(ml.modules[\"ICMGaussTurb\"].r,\n", " B * np.cos(ml.modules[\"ICMGaussTurb\"].psin[i]),\n", " lw=1,\n", " alpha=1 if not i else 0.1,\n", " color=plt.cm.tab10(0.1)\n", " ) \n", " \n", "ax1.set_ylabel('$B$ field ($\\mu$G)')\n", "ax1.set_xlabel('$r$ (kpc)')\n", "ax2.set_xlabel('$r$ (kpc)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coherent magnetic field in the Milky Way used in the mixing can be plotted in a similar way. Note that we're using the attributes `ml.modules[\"GMF\"].B` and `ml.modules[\"GMF\"].psi` since we are dealing with one coherent magnetic field and not many random realizations. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$r$ (kpc)')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(ml.modules[\"GMF\"].r, ml.modules[\"GMF\"].B * np.sin(ml.modules[\"GMF\"].psi),\n", " lw=2)\n", "plt.plot(ml.modules[\"GMF\"].r, ml.modules[\"GMF\"].B * np.cos(ml.modules[\"GMF\"].psi),\n", " lw=2) \n", "plt.ylabel('$B$ field ($\\mu$G)')\n", "plt.xlabel('$r$ (kpc)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The electron density in our Perseus cluster model looks like this" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$r$ (kpc)')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(ml.modules[\"ICMGaussTurb\"].r, ml.modules[\"ICMGaussTurb\"].nel)\n", "plt.ylabel('$n_\\mathrm{el}$ (cm$^{-3}$)')\n", "plt.xlabel('$r$ (kpc)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run all modules\n", "\n", "Now we run the modules. If ```multiprocess``` key word is larger than two, this will be split the calculation of the oscillation probability for the random realizations onto multiple cores with python's ```multiprocess``` module.\n", "\n", "The ```px, py, pa``` variables contain the mixing probability into the two photon polarization states ($x$, $y$) and into the axion state ($a$)." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0;36m core.py:\u001b[0;35m 658\u001b[0;0m --- \u001b[1;36mINFO\u001b[1;0m: Running Module 0: \n", "\u001b[0;36m core.py:\u001b[0;35m 658\u001b[0;0m --- \u001b[1;36mINFO\u001b[1;0m: Running Module 2: \n", "/Users/mey/Python/gammaALPs/gammaALPs/base/transfer.py:799: UserWarning: Not all values of linear polarization are real values!\n", " warnings.warn(\"Not all values of linear polarization are real values!\")\n", "/Users/mey/Python/gammaALPs/gammaALPs/base/transfer.py:802: UserWarning: Not all values of circular polarization are real values!\n", " warnings.warn(\"Not all values of circular polarization are real values!\")\n" ] } ], "source": [ "px, py, pa = ml.run(multiprocess=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the output \n", "\n", "Finally, we now plot the resulting total survival probability, $P_{\\gamma\\gamma} = P_x + P_y$ for each \n", "magnetic-field realization." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0.05, 0.1, '$m_a = 30.0\\\\,\\\\mathrm{neV}, g_{a\\\\gamma} = 0.5 \\\\times 10^{-11}\\\\,\\\\mathrm{GeV}^{-1}$')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pgg = px + py # the total photon survival probability\n", "\n", "effect = dict(path_effects=[withStroke(foreground=\"w\", linewidth=2)])\n", "\n", "for i, p in enumerate(pgg): # plot all realizations\n", " plt.loglog(ml.EGeV, p, color=plt.cm.tab10(0.), alpha=1 if not i else 0.2)\n", "\n", "plt.xlabel('Energy (GeV)')\n", "plt.ylabel('Photon survival probability')\n", "\n", "plt.annotate(r'$m_a = {0:.1f}\\,\\mathrm{{neV}}, g_{{a\\gamma}}'\n", " r' = {1:.1f} \\times 10^{{-11}}\\,\\mathrm{{GeV}}^{{-1}}$'.format(ml.alp.m, ml.alp.g),\n", " xy=(0.05,0.1), \n", " size ='x-large',\n", " xycoords='axes fraction',\n", " **effect)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.18" } }, "nbformat": 4, "nbformat_minor": 4 }