{ "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_AGN_jet_simple.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mixing in AGN jet with simple toroidal magnetic field\n", "\n", "In this example, we will consider the conversion in the AGN jet and the Galactic mangetic field.\n", "The environments that are used are `MixJet` and `MixGMF` and we also include absorption in the EBL through the `EBL`\n", "enviroment. \n", "For defineteness, we will use the source 3C454.3, a flat spectrum radio quasar from which giant flares at $\\gamma$-ray energies were detected with the Fermi LAT. \n", "The magnetic fields assumed for the blazar are taken from Kutkin et al. (2014), http://adsabs.harvard.edu/abs/2014MNRAS.437.3396K " ] }, { "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": [ "## Imports" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start 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 ebltable.tau_from_model import OptDepth\n", "from astropy import constants as c\n", "from matplotlib.patheffects import withStroke\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import mpl_toolkits.mplot3d.art3d as art3d\n", "from matplotlib.patches import Circle, PathPatch\n", "from matplotlib.text import TextPath\n", "from matplotlib.transforms import Affine2D\n", "from astropy import units as u\n", "\n", "effect = dict(path_effects=[withStroke(foreground=\"w\", linewidth=2)]) # for plotting\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining the source" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we set up the source parameters, taken e.g. from NED, http://ned.ipac.caltech.edu/cgi-bin/objsearch?objname=3C454.3&extend=no&hconst=73&omegam=0.27&omegav=0.73&corr_z=1&out_csys=Equatorial&out_equinox=J2000.0&obj_sort=RA+or+Longitude&of=pre_text&zv_breaker=30000.0&list_limit=5&img_stamp=YES.\n", "\n", "Note that we also provide the bulk Lorentz factor $\\Gamma = 15.6$ and the observation angle in degrees, $\\theta = 1.3^\\circ$, according to Kutkin et al., who used average values from Jorstad et al. (2005). These values yield the Doppler factor, $\\delta \\sim 27.7$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.859\n", "343.49041666666665 16.148333333333333\n", "86.11095204202923 -38.18360971586448\n", "27.707499216562937\n" ] } ], "source": [ "src = Source(z=0.859000, ra='22h53m57.7s', dec='+16d08m54s',\n", " bLorentz=15.6, theta_obs=1.3) # 3C454.3\n", "print (src.z)\n", "print (src.ra, src.dec)\n", "print (src.l, src.b)\n", "print (src._doppler)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Init the module list" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we set up the module list with some arbitrary ALP parameters. The energy range is motivated from the Fermi-LAT energy range." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "EGeV = np.logspace(-2,4.,2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the initial polarization matrix, for which we assume an unpolarized beam." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "pin = np.diag((1.,1.,0.)) * 0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With these choices, we initialize the module list." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "ml = ModuleList(ALP(m= 1., g = 2.), src, pin=pin, EGeV=EGeV)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we add the modules:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0;36menvirons.py:\u001b[0;35m 758\u001b[0;0m --- \u001b[1;36mINFO\u001b[1;0m: Assuming equipartion at r0: n0(r0) = 7.513e+01 cm^-3\n", "\u001b[0;36menvirons.py:\u001b[0;35m 767\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": [ "gamma_min = 1.\n", "ml.add_propagation(\"Jet\", \n", " 0, # position of module counted from the source. \n", " B0=0.32, # Jet field at r = R0 in G \n", " r0=1., # distance from BH where B = B0 in pc\n", " rgam=3.19e17 * u.cm.to('pc'), # distance of gamma-ray emitting region to BH\n", " alpha=-1., # exponent of toroidal mangetic field (default: -1.)\n", " psi=np.pi/4., # Angle between one photon polarization state and B field. \n", " # Assumed constant over entire jet. \n", " helical=True, # if True, use helical magnetic-field model from Clausen-Brown et al. (2011). \n", " # In this case, the psi kwarg is treated is as the phi angle \n", " # of the photon trajectory in the cylindrical jet coordinate system\n", " equipartition=True, # if true, assume equipartition between electrons and the B field. \n", " # This will overwrite the exponent of electron density beta = 2 * alpha \n", " # and set n0 given the minimum electron lorentz factor set with gamma_min\n", " gamma_min=gamma_min, # minimum lorentz factor of emitting electrons, only used if equipartition=True\n", " gamma_max=np.exp(10.) * gamma_min, # maximum lorentz factor of emitting electrons,\n", " # only used if equipartition=True\n", " Rjet= 40., # maximum jet length in pc (default: 1000.)\n", " n0=1e4, # normalization of electron density, overwritten if equipartition=True\n", " beta=-2. # power-law index of electron density, overwritten if equipartition=True\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": [ "### A comment on the geometry adopted in gammaALPs\n", "\n", "To calculate the Galactic magnetic field parallel to the two photon polarization states, a local coordinate system along the line of sight is defined and the B field is projected onto the transversal axis, which are called $\\hat{l}$ and $\\hat{b}$, see the 3D plot below. \n", "\n", "In the above example, we are also dealing with a the jet magnetic field and have set the angle $\\psi$ angle, i.e., the angle between the $\\hat{y}$ axis in the source frame and the $B$ field.\n", "This angle is related to the local coordinate system through \n", "$$ \\tan\\psi = \\frac{\\langle \\vec{B}, \\hat{l}\\rangle}{\\langle \\vec{B}, -\\hat{b}\\rangle}.$$ \n", "\n", "The coordinate system is shown in the example below. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "\n", "# Earth and GC position\n", "ax.plot(-8.5, 0., ms=10, mec='k', mfc='w', marker='o')\n", "ax.plot(-8.5, 0., ms=5, color='k', marker='.')\n", "ax.plot(0., 0., ms=10, color='k', marker='*')\n", "\n", "# Axes\n", "start = -10.\n", "length = 20.\n", "axes = [[start, 0., 0., length, 0., 0.], \n", " [0., start, 0., 0., length, 0.], \n", " [0., 0., start, 0., 0., length]]\n", "X, Y, Z, U, V, W = zip(*axes)\n", " \n", "ax.quiver(X, Y, Z, U, V, W, arrow_length_ratio=.05, normalize=False)\n", "\n", "# arrows to source\n", "x_earth, y_earth, z_earth = np.array([-8.5]), np.array([0.]), np.array([0.])\n", "\n", "def uvw_gal(l, b, shift_b=0., shift_l=0.):\n", " if np.isscalar(l):\n", " l = np.array([l])\n", " if np.isscalar(b):\n", " b = np.array([b])\n", " \n", " u = np.cos(np.deg2rad(b) + shift_b) * np.cos(np.deg2rad(l) + shift_l)\n", " v = np.cos(np.deg2rad(b) + shift_b) * np.sin(np.deg2rad(l) + shift_l)\n", " w = np.sin(np.deg2rad(src.b) + shift_b)\n", " \n", " return u,v,w\n", " \n", "\n", "source_distance = 20.\n", "u, v, w = uvw_gal(src.l, src.b)\n", "\n", "# arrow to source\n", "ax.quiver(x_earth, y_earth, z_earth, \n", " u, v, w, \n", " arrow_length_ratio=.001, normalize=False, length=source_distance, color=\"C1\", ls='--')\n", "\n", "# local coordinate system at Earth\n", "ax.quiver(x_earth, y_earth, z_earth, \n", " u, v, w, \n", " arrow_length_ratio=.3, normalize=True, length=3., color=\"k\", ls='-')\n", "ax.text((x_earth + u)[0] - 1.5, (y_earth + v)[0], (z_earth + w)[0] + 1.5,\n", " \"$\\hat{s}$\", color='k')\n", "\n", "\n", "u, v, w = uvw_gal(src.l + 90., src.b)\n", "ax.quiver(x_earth, y_earth, z_earth, \n", " u, v, w, \n", " arrow_length_ratio=.3, normalize=True, length=3., color=\"k\", ls='-')\n", "ax.text((x_earth + u)[0], (y_earth + v)[0] + 2., (z_earth + w)[0]-1.5,\n", " \"$\\hat{l}$\", color='k')\n", "\n", "u, v, w = uvw_gal(src.l, src.b, shift_b=np.pi / 2.)\n", "ax.quiver(x_earth, y_earth, z_earth, \n", " u, v, w, \n", " arrow_length_ratio=.3, normalize=True, length=3., color=\"k\", ls='-')\n", "ax.text((x_earth + u)[0] - 0.3, (y_earth + v)[0], (z_earth + w)[0] + 2.,\n", " \"$\\hat{b}$\", color='k')\n", "\n", "\n", "# coordinate system at source\n", "u, v, w = uvw_gal(src.l, src.b)\n", "x_src = x_earth + source_distance * u\n", "y_src = y_earth + source_distance * v\n", "z_src = z_earth + source_distance * w\n", "\n", "plt.plot(x_src, y_src, z_src, marker=\"*\", mec=\"w\", mfc=\"b\", ms=20.)\n", "\n", "u, v, w = uvw_gal(src.l, src.b, shift_b=np.pi)\n", "ax.quiver(x_src, y_src, z_src,\n", " u, v, w,\n", " arrow_length_ratio=.3, normalize=True, length=3., color=\"b\", ls='-')\n", "ax.text((x_src + u)[0] - 0.5, (y_src + v)[0] - 0.5, (z_src + w)[0] - 2, \"$\\hat{z}$\", color='b')\n", "\n", "u, v, w = uvw_gal(src.l + 90., src.b)\n", "ax.quiver(x_src, y_src, z_src,\n", " u, v, w,\n", " arrow_length_ratio=.3, normalize=True, length=3., color=\"b\", ls='-')\n", "ax.text((x_src + u)[0]-1.5, (y_src + v)[0] + 1.5, (z_src + w)[0], \"$\\hat{y}$\", color='b')\n", "\n", "u, v, w = uvw_gal(src.l, src.b, shift_b=np.pi / 2.)\n", "ax.quiver(x_src, y_src, z_src,\n", " u, v, w,\n", " arrow_length_ratio=.3, normalize=True, length=3., color=\"b\", ls='-')\n", "ax.text((x_src + u)[0], (y_src + v)[0] - 0.5, (z_src + w)[0] + 0.7, \"$\\hat{x}$\", color='b')\n", " \n", "# Galactic disk\n", "p = Circle((0, 0), 10, alpha=0.1, zorder=-10)\n", "ax.add_patch(p)\n", "art3d.pathpatch_2d_to_3d(p, z=0, zdir=\"z\")\n", "\n", "text_path = TextPath((0, 0), \"Galactic disk\", size=1.2, usetex=False)\n", "trans = Affine2D().rotate(0.).translate(0.5, -3.5)\n", "p1 = PathPatch(trans.transform_path(text_path))\n", "ax.add_patch(p1)\n", "art3d.pathpatch_2d_to_3d(p1, z=0., zdir=\"z\")\n", "\n", "ax.set_xlabel(\"$x$ (kpc)\")\n", "ax.set_ylabel(\"$y$ (kpc)\")\n", "ax.set_zlabel(\"$z$ (kpc)\")\n", "ax.set_xlim(-10.,10)\n", "ax.set_ylim(-10.,20)\n", "ax.set_zlim(-20.,5)\n", "\n", "ax.view_init(elev=35, azim=220)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Peek at the electron density and the magnetic field\n", "\n", "We can peek easily at the radial dependence of the magnetic field and electron density by accessing \n", "the particular entries in the modules list. Note that you can either use the indeces of the \n", "modules (provided when you called `add_propagation` or the module name." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3124.111527961497 39.79921458359436\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(ml.modules[0].r, ml.modules[0].B)\n", "plt.loglog(ml.modules[\"Jet\"].r, ml.modules[\"Jet\"].nel, ls='--') # list can also be accessed by module name\n", "plt.grid(True)\n", "plt.xlabel('Distance from BH [pc]')\n", "plt.ylabel('B field [$\\mu$G] / Electron dentity [cm$^{-3}$]')\n", "print (ml.modules[0].B[-1],ml.modules[0]._r[-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute the photon-ALP mixing probability\n", "\n", "Now we can compute the mixing probability. First we change the ALP mass and coupling to photons" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "ml.alp.m = 100.\n", "ml.alp.g = 0.3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then compute the oscillation probability" ] }, { "cell_type": "code", "execution_count": 11, "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" ] }, { "name": "stdout", "output_type": "stream", "text": [ "(1, 2000)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/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()\n", "pgg = px + py # the total photon survival probability\n", "print (pgg.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the output\n", "\n", "We plot the total oscillation probability `pgg` for the single B-field realization as a function of energy.\n", "Note that the drop at the highest energies is due to the EBL absorption." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "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", "for p in pgg: # plot all realizations\n", " plt.plot(ml.EGeV, p)\n", "\n", "plt.grid(True, lw = 0.2)\n", "plt.grid(True, which = 'minor', axis = 'y', lw = 0.2)\n", "\n", "plt.xlabel('Energy (GeV)')\n", "plt.ylabel(r'Photon survival probability')\n", "\n", "plt.gca().set_xscale('log')\n", "plt.annotate(r'$m_a = {0:.1f}\\,\\mathrm{{neV}}, g_{{a\\gamma}}'\n", " r' = {1:.2f} \\times 10^{{-11}}\\,\\mathrm{{GeV}}^{{-1}}$'.format(ml.alp.m,ml.alp.g),\n", " xy=(0.05,0.1),\n", " size='large',\n", " xycoords='axes fraction',\n", " ha='left',\n", " **effect)\n", "\n", "# Also plot the minimum and maximum energies for \n", "# different values of the electron density and magnetic fields\n", "plt.axvline(transfer.EminGeV(ml.alp.m, ml.alp.g, ml.modules[0].nel[0], ml.modules[0].B[0]), ls='--')\n", "plt.axvline(transfer.EminGeV(ml.alp.m, ml.alp.g, ml.modules[-1].nel[-1], ml.modules[-1].B[-1]), ls=':')\n", "plt.axvline(transfer.EmaxGeV(ml.alp.g, ml.modules[0].B[0]), ls = '-.')" ] } ], "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 }