{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A \"Regular\" magnetic field \n",
    "We can also use large scale coherent models for the magnetic field. One particular model that ships with the code is that used by [Libanov \\& Troitsky (2021)](https://www.sciencedirect.com/science/article/pii/S0370269320300563?via%3Dihub), which is originally described by [Gourgouliatos et al. (2010)](https://arxiv.org/abs/1008.5353).  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt \n",
    "import numpy as np \n",
    "import alpro \n",
    "alpro.util.set_default_plot_params()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load data from Marsh and Libanov codes\n",
    "\n",
    "s = alpro.Survival(\"libanov\")\n",
    "s.setup_regular_model()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot the magnetic field components at the default 45 degree viewing angle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, '$z$ (kpc)')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(s.domain.rcen, 1e6 * s.domain.Bx, label = \"$B_x$\")\n",
    "plt.plot(s.domain.rcen, 1e6 * s.domain.By, ls=\"--\", label = \"$B_y$\")\n",
    "plt.plot(s.domain.rcen, 1e6 * s.domain.Bz, ls=\"-.\", label = \"$B_z$\")\n",
    "plt.ylabel(\"$B$ components ($\\mu$G)\")\n",
    "plt.legend(frameon=False)\n",
    "plt.xlabel(\"$z$ (kpc)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can then compute the survival probability"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s.set_params(mass = 1e-8, g = 1e-11 * 1e-9)\n",
    "energies = np.logspace(9,12,1000)\n",
    "s.propagate(energies = energies)\n",
    "fig = s.default_plot(mode = \"survival\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can change the viewing angle through the theta keyword"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, '$z$ (kpc)')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s.domain.create_libanov_field(theta=3.0*np.pi/2.0)\n",
    "plt.plot(s.domain.rcen, 1e6 * s.domain.Bx, label = \"$B_x$\")\n",
    "plt.plot(s.domain.rcen, 1e6 * s.domain.By, ls=\"--\", label = \"$B_y$\")\n",
    "plt.plot(s.domain.rcen, 1e6 * s.domain.Bz, ls=\"-.\", label = \"$B_z$\")\n",
    "plt.ylabel(\"$B$ components ($\\mu$G)\")\n",
    "plt.legend(frameon=False)\n",
    "plt.xlabel(\"$z$ (kpc)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Which means we can also plot the components for all $r,\\theta$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, y = np.linspace(-93,93,1000), np.linspace(-93,93,1000)\n",
    "xx, yy = np.meshgrid(x,y)\n",
    "r = np.sqrt(xx**2 + yy**2)\n",
    "theta = np.arctan2(xx,yy)\n",
    "\n",
    "Btheta, Bphi, Br = alpro.models.get_libanov_B(r, theta)\n",
    "plt.pcolormesh(x, y, 1e6 * Btheta, cmap=\"RdBu\")\n",
    "_ = plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.pcolormesh(x, y, 1e6 * Bphi, cmap=\"RdBu\")\n",
    "_ = plt.axis(\"off\")"
   ]
  },
  {
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
