{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dynamical Magnetic Xray Scattering\n",
    "\n",
    "In this example static and transient magnetic X-ray simulations are carried out employing a dynamical magnetic X-ray scattering formalism which was adapdet from [Project Dyna](https://neel.cnrs.frspip.php/?rubrique1008)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "Do all necessary imports and settings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import udkm1Dsim as ud\n",
    "u = ud.u #  import the pint unit registry from udkm1Dsim\n",
    "import scipy.constants as constants\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "u.setup_matplotlib() #  use matplotlib with pint units"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Structure\n",
    "\n",
    "Refere to the [structure-example](structure.ipynb) for more details.\n",
    "\n",
    "In this example the sample `Structure` consists of `AmorphousLayer`s.\n",
    "\n",
    "In order to build an antiferromagntic sample two different types of _Fe_ `Atom`s and `AmorphousLayer`s are created with opposite in-plane magnetization.\n",
    "\n",
    "Here a local file for the atomic scattering factor is read only for Fe atoms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "Fe_right = ud.Atom('Fe', mag_amplitude=1, mag_phi=90*u.deg, mag_gamma=90*u.deg,\n",
    "                  atomic_form_factor_path='./Fe.cf')\n",
    "Fe_left = ud.Atom('Fe', mag_amplitude=1, mag_phi=90*u.deg, mag_gamma=270*u.deg,\n",
    "                  atomic_form_factor_path='./Fe.cf')\n",
    "Cr = ud.Atom('Cr')\n",
    "Si = ud.Atom('Si')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "density_Fe = 7874*u.kg/u.m**3\n",
    "\n",
    "prop_Fe = {}\n",
    "prop_Fe['heat_capacity'] = 449*u.J/u.kg/u.K\n",
    "prop_Fe['therm_cond'] = 80*u.W/(u.m *u.K)\n",
    "prop_Fe['lin_therm_exp'] = 11.8e-6\n",
    "prop_Fe['sound_vel'] = 4.910*u.nm/u.ps\n",
    "prop_Fe['opt_ref_index'] = 2.9174+3.3545j\n",
    "\n",
    "\n",
    "layer_Fe_left = ud.AmorphousLayer('Fe_left', 'Fe left amorphous', 1*u.nm, density_Fe, atom=Fe_left, **prop_Fe)\n",
    "layer_Fe_right = ud.AmorphousLayer('Fe_right', 'Fe right amorphous', 1*u.nm, density_Fe, atom=Fe_right, **prop_Fe)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "density_Cr = 7140*u.kg/u.m**3\n",
    "\n",
    "prop_Cr = {}\n",
    "prop_Cr['heat_capacity'] = 449*u.J/u.kg/u.K\n",
    "prop_Cr['therm_cond'] = 94*u.W/(u.m *u.K)\n",
    "prop_Cr['lin_therm_exp'] = 6.2e-6\n",
    "prop_Cr['sound_vel'] = 5.940*u.nm/u.ps\n",
    "prop_Cr['opt_ref_index'] = 3.1612+3.4606j\n",
    "\n",
    "layer_Cr = ud.AmorphousLayer('Cr', \"Cr amorphous\", 1*u.nm, density_Cr, atom=Cr, **prop_Cr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "density_Si = 2336*u.kg/u.m**3\n",
    "\n",
    "prop_Si = {}\n",
    "prop_Si['heat_capacity'] = 703*u.J/u.kg/u.K\n",
    "prop_Si['therm_cond'] = 150*u.W/(u.m *u.K)\n",
    "prop_Si['lin_therm_exp'] = 2.6e-6\n",
    "prop_Si['sound_vel'] = 8.433*u.nm/u.ps\n",
    "prop_Si['opt_ref_index'] = 3.6941+0.0065435j\n",
    "\n",
    "layer_Si = ud.AmorphousLayer('Si', \"Si amorphous\", 1*u.nm, density_Si, atom=Si, **prop_Si)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "S = ud.Structure('Fe/Cr AFM Super Lattice')\n",
    "\n",
    "# create a sub-structure\n",
    "DL = ud.Structure('Two Fe/Cr Double Layers')\n",
    "DL.add_sub_structure(layer_Fe_left, 1)\n",
    "DL.add_sub_structure(layer_Cr, 1)\n",
    "DL.add_sub_structure(layer_Fe_right, 1)\n",
    "DL.add_sub_structure(layer_Cr, 1)\n",
    "\n",
    "S.add_sub_structure(DL, 10)\n",
    "S.add_sub_structure(layer_Fe_left, 10)\n",
    "S.add_sub_structure(layer_Si, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x72 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.visualize()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heat\n",
    "\n",
    "Refere to the [heat-example](heat.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = ud.Heat(S, True)\n",
    "\n",
    "h.save_data = False\n",
    "h.disp_messages = True\n",
    "\n",
    "h.excitation = {'fluence': [12]*u.mJ/u.cm**2,\n",
    "                'delay_pump':  [0]*u.ps,\n",
    "                'pulse_width':  [0.1]*u.ps,\n",
    "                'multilayer_absorption': True,\n",
    "                'wavelength': 800*u.nm,\n",
    "                'theta': 45*u.deg}\n",
    "\n",
    "# enable heat diffusion\n",
    "h.heat_diffusion = True\n",
    "\n",
    "# temporal and spatial grid\n",
    "delays = np.r_[-1:20:0.1]*u.ps\n",
    "_, _, distances = S.get_distances_of_layers()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _heat_diffusion_ for excitation 1:1 ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6264577dec474209bb2aa0082c4c16d1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _heat_diffusion_ with 1 excitation(s): 8.315953 s\n",
      "Calculating _heat_diffusion_ ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7dbbf9e8b524494bac4f8b99b09b5ca1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _heat_diffusion_: 8.441899 s\n",
      "Elapsed time for _temp_map_: 16.990971 s\n"
     ]
    }
   ],
   "source": [
    "temp_map, delta_temp_map = h.get_temp_map(delays, 300*u.K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BpDMAzOzWJvZxG/CsmY0EDgQ+AK4GpprZcGBq+B1Jo4BJwGjgZOAOSYVJxtpqfH3C3uzVpR3XPzmb6hrvdu6cyy/JJqipkobULZT0ZaCpxISkLsBRwN0AZrbDzDYQNB3W1szuBc4KP08EHjKzSjNbBCwExicZa6vRoW0R15w6klnLN/H36cuiDsc559Iq2QR1BfCCpOG1BWET3BXA0UlsPwxYDfxF0juS7pLUEehjZisBwvfe4fr9gcQrbllYtgdJl0iaLmn66tWrkzyd/HHmgf04ZEh3fvHcPDZu84kNnXP5I6kEZWZPA/8LPCNpjKRbgdOBo8ysLIldFAEHA783s7FABWFzXgNUXxgNxHanmZWaWWlJSUkSoeQXSVx3xmjWb93Bbf9aEHU4zjmXNkk/B2VmU4GLgJcIakTH1XZoSEIZUGZmb4bfHyFIWKsk9QUI38sT1h+YsP0AwOeaaMCY/l2ZdMhA/vr6YhaWb446HOecS4ukEpSkzZI2Ac8AXYDjgPKE8kaZ2cfAMkkjwqLjgDnAFODCsOxC4Inw8xRgkqRiSUOB4cC0JM+pVfrOiSNo37aQHz3p4/Q55/JDUt3MzaxzGo71TeABSW2Bj4D/IUiQkyVdDCwFzg2PN1vSZIIkVgVcamY+rk8jenYq5orj9+XH/5zDvz4o54RRfaIOyTnnWkT59Nd2aWmpTZ8+PeowIrOzuoZTb3uFyqoanr/iKNq18Z75zrn4kzTDzErrlifbxPd2OtZxmdWmsIAf+jh9zrk8kexIEvtJeq+R5QK6piEe10JHDi/hxFF9+N2/F3LOuAH06dIu6pCcc65Zkk1QI5NYx+8RxcS1p+3HCTe/zM+fncvN5x0UdTjOOdcsyXaSWJLpQFz6DO7Zka8cOZQ7XvqQLx42mLGDGh0m0TnnYsnng8pTX5+wD707F3P9k3Oo8XH6nHM5yBNUnupUXMRVJ4/k3WUbePyd5VGH45xzKUs5QUkaLOn48HN7Sel4RsplwGfG9ufAgd34+bNz2VJZFXU4zjmXkpQSlKSvEgxT9MewaADwj3QH5dKjoEBcf8YoyjdX8rt/L4w6HOecS0mqNahLgU8BmwDMbAGfjEDuYmjsoO6cfXB/7n5lEUvWVkQdjnPOJS3VBFVpZjtqv0gqooFRxl18XHXySIoKxQ1PfRB1KM45l7RUE9R/JP0f0F7SCcDfgSfTH5ZLpz5d2nHphH14fs4qXl2wJupwnHMuKakmqKsIJh58H/ga8DTw/XQH5dLv4k8PZVCPDvzoydlUVddEHY5zzjUp6QQlqQB438z+ZGbnmtk54Wdv4ssB7doUcu1p+7GgfAsPvLk06nCcc65JqUxYWAO8K2lQBuNxGXTiqD58ap+e3PzCfNZV7Gh6A+eci1CqTXx9gdmSpkqaUvvKRGAu/STxw9NHs6Wyil8+Ny/qcJxzrlHJDhZb60cZicJlzYi9OnPh4UP4y38XccH4gRwwoFvUITnnXL1SqkGZ2X/qe2UqOJcZl58wnJ4di/nhE7N9nD7nXGylOpLEZkmbwtd2SdWSNmUqOJcZXdq14f9OHcnMZRv4+4xlUYfjnHP1SrUG1dnMuoSvdsBngdszE5rLpM+M7U/p4O78/Nl5bNjqHSacc/HTotHMzewfwLFpisVlkSR+PHEMG7bu4OYX5kcdjnPO7SGlThKSzk74WgCU4kMd5axR/brwxcMGc98bSzj/kIGM7tc16pCcc26XVGtQZyS8TgI2AxPTHZTLnitPHEH3Dm29w4RzLnZS7WZ+l5m9llgg6VNAefpCctnUtX0brjp5JN979D0ee2c554wbEHVIzjkHpF6D+m2SZS6HnDNuAAcN7MZNz3zAxm07ow7HOeeAJBOUpMMlfRsokXRlwut6oDCjEbqMKygQP5k4hrUVO7j1X95hwjkXD8nWoNoCnQiaBDsnvDYB52QmNJdN+w/oyufGD+Kvry9h7sf+aJtzLnpKZTBySYPNbEkG42mR0tJSmz59etRh5Kz1FTuY8OuX2Ld3Zx7+2mFIijok51wrIGmGmZXWLU/1HtRWSb+U9LSkF2tfaYrRRax7x7Z876SRTFu8jidmrog6HOdcK5dqgnoAmAsMJRg4djHwVppjchE6/5CBHDCgKzc8/QGbt3uHCedcdFJNUD3N7G5gZzhQ7JeBwzIQl4tIYUEwwsTqzZX8ZuqCqMNxzrViqSao2j+pV0o6TdJYwB+cyTMHDezG+aUD+fNri/lgpXeYcM5FI9UE9VNJXYFvA98B7gKuSHtULnJXnzKSru3bcM1j71PtI0w45yKQdIKSVAgMN7ONZjbLzCaY2Tgz8xl181D3jm354emjmLlsA/e/EduOm865PJZ0gjKzauDMDMbiYmbiQf04cngvfvncPFZu3BZ1OM65VibVJr7/Srpd0pGSDq59ZSQyFzlJ3HDW/lTV1HDdE7OjDsc518qkOljsEeH7jxPKDJ8TKm8N6tmBy4/fl5uemcuzsz7m5DF7RR2Sc66VSClBmdmE5h5I0mKC6TmqgSozK5XUA3gYGELwTNV5ZrY+XP8a4OJw/cvM7LnmHtu1zMWfHsoTM1dw3ZRZHLFPT7q0axN1SM65ViClJj5JfSTdLemZ8PsoSRensIsJZnZQwpAWVwNTzWw4MDX8jqRRwCRgNHAycEfYScNFoE1hATedvT/lmyv51XPzog7HOddKpHoP6h7gOaBf+H0+cHkLjj8RuDf8fC9wVkL5Q2ZWaWaLgIXA+BYcx7XQgQO7ceHhQ7jvjSXMWLI+6nCcc61Aqgmql5lNBmoAzKyKoAkuGQY8L2mGpEvCsj5mtjLc10qgd1jeH1iWsG1ZWOYi9J2TRrBXl3b832Pvs7O6JupwnHN5LtUEVSGpJ0GyQdJhwMYkt/2UmR0MnAJcKumoRtatbxjtep8WlXSJpOmSpq9evTrJUFxzdCou4icTxzBv1WbufPmjqMNxzuW5VBPUlcAUYG9JrwF/Bb6ZzIZmtiJ8LwceJ2iyWyWpL0D4Xjt1fBkwMGHzAUC9w2ub2Z1mVmpmpSUlJSmejkvV8aP6cOr+e3Hb1AUsWlMRdTjOuTyWUoIys7eBowm6m38NGG1m7zW1naSOkjrXfgZOBGYRJLsLw9UuBJ4IP08BJkkqljQUGA5MSyVWlznXnzGa4qICrnrkPWp8GCTnXIak2ouvHXAZ8BOC6TYuDcua0gd4VdK7BInmKTN7FrgJOEHSAuCE8DtmNhuYDMwBngUuDUeycDHQu0s7fnj6KKYtXse9ry+OOhznXJ5KdUbdyQTPMt0fFl0AdDezczMQW8p8Rt3sMTMuvnc6//1wDc9+6yiG9OoYdUjOuRyVrhl1R5jZxWb27/B1CbBvekJ0uUQSP/vM/rQpLOB73tTnnMuAVBPUO2HPPQAkHQq8lt6QXK7Yq6s39TnnMifVBHUowYCxi8Ohi14Hjpb0vqQmO0u4/HPOuAFMGFHCz5+dy2Lv1eecS6NUE9TJwFCCnnxHh59PBU4HzkhvaC4XSOLGsw8Imvoe9aY+51z6pNrNfAmwCegK9Kx9mdmScJlrhXY19S1ax59fWxR1OM65PJHSaOaSfgJcBHzIJyM7+HQbjnPGDeC52R/zi+fmcdS+Jezbp3PUITnnclyqTXznAXub2THhlO8TzMyTk9vV1Ne5uIgrHp7Jjiofq8851zKpJqhZQLdMBOJyX0nnYm48e39mr9jEbVPnRx2Ocy7HpTqj7o0EXc1nAZW1hWZ2ZlqjcjnrxNF7cV7pAH7/0occO7I34wb3iDok51yOSjVB3Qv8HHifcMoN5+r6wemj+O+Ha7ni4Xd55ltH0rE41f9mzjmXehPfGjP7TTiKxH9qXxmJzOWszu3acPN5B7Fs/VZ++tQHUYfjnMtRqSaoGZJulHS4pINrXxmJzOW08UN7cMlRw3hw2lKmfrAq6nCcczko1baXseH7YQll3s3c1evKE/blP/NWc9Wj7/Pc5d3o2ak46pCcczkk1Qd1J9Tz8uTk6lVcVMitkw5i07ad/N/j75PKyPnOOZfqfFB9JN0t6Znw+yhJF2cmNJcPRu7Vhe+ctC/PzV7Fo28vjzoc51wOSfUe1D3Ac0C/8Pt84PJ0BuTyz8WfHsb4oT24fspslq3bGnU4zrkckVSCklR7r6qXmU0m7GJuZlWAz3TrGlVYIH597oEAfPvv71LtA8o655KQbA1qWvheIakn4Th84dxQGzMRmMsvA3t04LozggFl7371o6jDcc7lgGQTlML3K4EpwN6SXgP+CnwzE4G5/HPOuAGcOKoPv3puPnM/3hR1OM65mEs2QZVIuhI4Bngc+AXwDPAn4PjMhObyTTCg7P50aV/E5Q/NpLLKW4edcw1LNkEVAp2AzkBHguenCoEOYZlzSenZqZiff/YA5n68mVteWBB1OM65GEv2Qd2VZvbjjEbiWo3j9uvDBeMH8seXP2TCiBIOHdYz6pCcczGU6j0o59Li+6eNYlCPDnzroZms2VLZ9AbOuVYn2QR1XEajcK1Ox+Ii7vj8wazfuoNvPfSOdz13zu0hqQRlZusyHYhrfUb368pPzhrDawvXcssLPsGhc253qY4k4VxanVc6kPNLB3L7vxfy4lwf9dw59wlPUC5yP5o4mtH9unD5QzN9KCTn3C6eoFzk2rUp5PefHwfA/3tgBtt3+vNRzjlPUC4mBvXswM3nHcSs5Zu49vFZPjWHc84TlIuP40f14fLjh/Po22Xc+bKP1+dca5fqjLrOZdS3jhvOgvIt3PTsXIaVdOKEUX2iDsk5FxGvQblYkcSvzjmQ/ft35fKH3uGDlT6orHOtlScoFzvt2xbypy+V0qldEV+5dzqrN/tIE861Rp6gXCz16dKOP32plLUVlfzv/d6zz7nWyBOUi60DBnTj1+cexIwl6/nuI+9R48MhOdeqeCcJF2unHdCXZetHctMzc9mrSzHXnjYq6pCcc1niCcrF3teOGsbHG7fzp1cWUdK5mEuO2jvqkJxzWZDVJj5JhZLekfTP8HsPSS9IWhC+d09Y9xpJCyXNk3RSNuN08SKJH5w+itP278vPnp7LNY+957PxOtcKZPse1LeADxK+Xw1MNbPhwNTwO5JGAZOA0cDJwB2SCrMcq4uRwgLxmwvGcumEvXlw2jLO+8PrzF+1OeqwnHMZlLUEJWkAcBpwV0LxRODe8PO9wFkJ5Q+ZWaWZLQIWAuOzFauLp8IC8d2TRvKHL4xj0ZoKTr71Za5+9D3KN22POjTnXAZkswZ1K/A9oCahrI+ZrQQI33uH5f2BZQnrlYVle5B0iaTpkqavXr06/VG72Dl5zF7857sTuPCIITz6dhlH//Ilbn5hPhWVVVGH5pxLo6wkKEmnA+VmNiPZTeopq7ePsZndaWalZlZaUlLS7BhdbunesS3XnTGaf115NMeO7M1vpi7g6F++xANvLqGquqbpHTjnYi9bNahPAWdKWgw8BBwr6X5glaS+AOF7ebh+GTAwYfsBwIosxepyyOCeHfnd5w/m8a8fwdBeHbj28VmcfNsrPDf7Yx8R3bkcl5UEZWbXmNkAMxtC0PnhRTP7AjAFuDBc7ULgifDzFGCSpGJJQ4HhwLRsxOpy09hB3Zn8tcP54xfHUVNjfO2+GUz83Wv8Z/5qT1TO5aion4O6CZgs6WJgKXAugJnNljQZmANUAZeamfcrdo2SxEmj9+K4kb157J3l3PavBVz452kcMqQ73z5xBIcN6xl1iM65FCif/rosLS216dOnRx2Gi4kdVTU8PH0Zt7+4gFWbKvnUPj359okjOHhQ96Y3ds5ljaQZZla6R7knKJfvtu+s5v43lvD7lz5kbcUOJowo4ZvHDfdE5VxMeIJyrV5FZRX3/Hcxf3rlIzZs3ckRe/fkGxP24fC9eyLV13HUOZcNnqCcC1VUVvG3N5dy5ysfsXpzJWMHdeMbE/bh2JG9PVE5FwFPUM7VsX1nNX+fUcYfXvqQ5Ru2sV/fLlw6YW9OGdOXwgJPVM5liyco5xqws7qGJ2au4I6XFvLR6goG9ejAlz81hHNLB9KxOOqOrs7lP09QzjWhusZ4fvbH/OmVj3h76Qa6tCvic4cO5sIjBtO3a/uow3Mub3mCci4FM5as58+vLuKZWXziGtYAACAASURBVCspkDjjwH5c/OmhjOnfNerQnMs7DSUob79wrh7jBndn3ODuLFu3lb+8tpiH31rK4+8sZ/zQHnzp8MGcOGov2hZle7Ya51oXr0E5l4RN23fy0LSl3PfGEpat20ZJ52IuOGQgFxw6yJv/nGshb+JzLg2qa4yX56/mvjeW8O955RRInLBfH754+GCO8OepnGsWb+JzLg0KC8SEkb2ZMLI3y9Zt5f43lzD5rWU8O/tjhvXqyHmHDOTsg/vTu3O7qEN1Lud5Dcq5Ftq+s5qn31/J395cyvQl64MkNqKEc0sHcuzI3rQp9HtVzjXGm/icy4IPV2/h79PLePTtMlZvrqRXp7Z8Zmx/zisdyPA+naMOz7lY8gTlXBZVVdfwn/mrmTx9GVM/KKeqxti/f1cmHtSPMw7sR58u3gToXC1PUM5FZM2WSv7xznKemLmC95dvRILDh/XkrIP6c/L+e9GlXZuoQ3QuUp6gnIuBheVbmPLuCp6YuZwla7fStqiAY0f05syD+nHMiBI6tPV+S6718QTlXIyYGe+WbeSJmct58t2VrNlSSbs2BRy9bwmnjOnLsfv19pqVazU8QTkXU1XVNUxbvI5nZ33Ms7M+pnxzJW0LC/jUPj05ZUxfThjVh+4d20YdpnMZ4wnKuRxQU2O8s2w9z7z/Mc/M+pjlG7ZRWCDGDe7OcSN7c9x+vdm7pJM/EOzyiico53KMmTFr+Saem/0xU+eW88HKTQAM7NGe40b24diRvTl0WA+KiwojjtS5lvEE5VyOW7FhGy/OLefFueW8tnANlVU1dGhbyBF79+LI4cFraK+OXrtyOccTlHN5ZNuOal7/aA3/+qCcl+evpmz9NgD6d2vPkcN78enhvfjU3r383pXLCZ6gnMtTZsaStVt5ZeEaXl2wmv8uXMvmyiokGNOvK4cO7cGhw3oyfkgPunbwnoEufjxBOddKVFXX8G7ZRl5dsIbXPlzDzGUb2FFVgwT77dWFQ4f14NChPTl0aA+vYblY8ATlXCu1fWc1M5dt4M2P1vHmorW8vXQ923fWADCspCMHD+rO2EHdOHhQd/bt05nCAr+H5bLLE5RzDoAdVTW8V7aBNxet452l63l76QbWVewAoGPbQg4Y0I2DB3dj7MAgcfXsVBxxxC7f+XxQzjkA2hYVUDqkB6VDegDBPayl67byztINvL10Pe8s3cAf//MRVTXBH6+DenRgTP8ujO7XlVH9ujCmX1dKOnvScpnnCcq5Vk4Sg3t2ZHDPjpw1tj8Q9BJ8f/lG3lm6npnLNjBr+Saefv/jXdv07lzM6H5B0qp9H9ijvXdxd2nlCco5t4f2bQsZP7QH44f22FW2aftO5qzYxOwVm5i9YiNzVmzi5QVrqA5rWp2Li9inTyeG9+7Evn06M7xPZ4b37kTfru08cblm8XtQzrlm276zmvmrNjNr+SbmfryJ+as2s7B8C2u27Ni1TqfiIvbp3Yl9+wSJa++STgzp1ZEB3dv7bMMO8HtQzrkMaNcm6FRxwIBuu5Wvq9jB/FWbWVC+hQWrNjN/1WZenFvO5Ollu9YpLBADurdnSM+ODO3VkSE9OzC4V0eG9gySV5Enr1bPE5RzLu16dGzLYcN6ctiwnruVr91SyaI1FSxaU8HitRUsXrOVxWsrmL54HRU7qnetV1Qg+nVrT/9u7enfvT0DugefB3TvwIDu7dmrazuvfbUCnqCcc1nTs1MxPTsV7+pBWMvMWL2lkiVrtwbJa00FZeu3UbZ+K68sWM2qTZW7rV8g2KtLO/p3b89eXdvTp3Mxfbq0o3eX4H2v8LNPAJnb/F/PORc5SfTu3I7endtxSJ3kBVBZVc3KDdspW7+N5Ru2snz9tiCBbdjG+2UbeGHT9l0PHyfq3K6IPl3a0adLMX06t6N3l3b06tSWnp3a0qNjMT07tqVH+GrXxkeFjxtPUM652CsuKmRIr44M6dWx3uVmxqbtVZRv2s6qTZWs2rSdVZu3Ux5+/njTdt5ctI7yzdvZWV1/x7BOxUW7ktWuxNWpLT06tKVr+zZ0ad8meG8XvHdt34ZO7Yp85I0M8gTlnMt5knYljeF9Oje4Xk2NsWn7TtZW7GBdxQ7Wbgne11VU7ipbV7GDlRu3M3vFJtZV7GBH9Z41s0+OGyS2xMTVpX0RHYuL6FQcvHdsWxi8h2Ud2hYmLCuiY3GwvLiowLvj15GVBCWpHfAyUBwe8xEzu05SD+BhYAiwGDjPzNaH21wDXAxUA5eZ2XPZiNU5l78KCkS3Dm3p1qEte5c0vb6ZUbGjmk3bdrJx285d77WvTdur9li2aE0FFZXVbKmsoqKyateIHE0pKhDt2xbSrk0h7doU0K6okOLwvbasuE0hxUUFwfeicL3EsjYFFBcV0qawgDaFCt8LKNr1ue57sKxtYQFFteUFBRTEpFaYrRpUJXCsmW2R1AZ4VdIzwNnAVDO7SdLVwNXAVZJGAZOA0UA/4F+S9jWz6oYO4Jxz6SaJTmHNp1+39ilvb2bsqK6horKaisoqKnYESWtLZTVbK6t2JbGKHcHyrTuqqayqZvvOGrbvrA5fNWzdUcW6ihq2V1VTubNmt3WSTYCpKBAUFRQgBY8DFEgUKEjwhRKSKCwgLFe4TrC8QLXr7L4tErVpTyLhc8PJMCsJyoKngbeEX9uELwMmAseE5fcCLwFXheUPmVklsEjSQmA88Ho24nXOuXSQRHFRIcVFhfTI0NQmVdU1bK+qoXJnNdurwqRVbeysrmFndQ1VNcbOqhp21r5Xf/K5qqaGHdVGVbjuzoTtaixoEq0xo7oGasx2vaprguRbXWNUm2EG1TWfLK+pISy3sDy44EOwHbs+g9Fwgs3aPShJhcAMYB/gd2b2pqQ+ZrYSwMxWSuodrt4feCNh87KwrL79XgJcAjBo0KBMhe+cc7FUVFhAp8ICOhXnbpeCv321/vKsPelmZtVmdhAwABgvaUwjq9dX56s3zZrZnWZWamalJSVJNCo755zLCVl/FNvMNhA05Z0MrJLUFyB8Lw9XKwMGJmw2AFiRxTCdc85FLCsJSlKJpG7h5/bA8cBcYApwYbjahcAT4ecpwCRJxZKGAsOBadmI1TnnXDxkq9GyL3BveB+qAJhsZv+U9DowWdLFwFLgXAAzmy1pMjAHqAIu9R58zjnXuvh0G8455yLV0HQbPhywc865WPIE5ZxzLpY8QTnnnIulvLoHJWkzMC/qOFqoF7Am6iBayM8hHvwc4sHPoWmDzWyPB1lz99Hj+s2r70ZbLpE03c8hen4O8eDnEA9RnYM38TnnnIslT1DOOediKd8S1J1RB5AGfg7x4OcQD34O8RDJOeRVJwnnnHP5I99qUM455/KEJyjnnHOxlBcJStLJkuZJWhhOHR97kgZK+rekDyTNlvStsLyHpBckLQjfu0cda1MkFUp6R9I/w+85dQ6Sukl6RNLc8N/j8Bw8hyvC/0ezJD0oqV0unIOkP0sqlzQroazBuCVdE/6ez5N0UjRR766Bc/hl+P/pPUmP187mEC7LiXNIWPYdSSapV0JZVs4h5xNUOEL674BTgFHABZJGRRtVUqqAb5vZfsBhwKVh3FcDU81sODA1/B533wI+SPiea+dwG/CsmY0EDiQ4l5w5B0n9gcuAUjMbAxQCk8iNc7iHYG64RPXGHf5+TAJGh9vcEf7+R+0e9jyHF4AxZnYAMB+4BnLuHJA0EDiBYLaJ2rKsnUPOJyhgPLDQzD4ysx3AQ8DEiGNqkpmtNLO3w8+bCS6K/Qlivzdc7V7grGgiTI6kAcBpwF0JxTlzDpK6AEcBdwOY2Y5wUs2cOYdQEdBeUhHQgWCCz9ifg5m9DKyrU9xQ3BOBh8ys0swWAQsJfv8jVd85mNnzZlYVfn2DYNJVyKFzCN0CfI/dZzTP2jnkQ4LqDyxL+F4WluUMSUOAscCbQB8zWwlBEgN6RxdZUm4l+A9ck1CWS+cwDFgN/CVsprxLUkdy6BzMbDnwK4K/clcCG83seXLoHOpoKO5c/V3/MvBM+DlnzkHSmcByM3u3zqKsnUM+JCjVU5YzfecldQIeBS43s01Rx5MKSacD5WY2I+pYWqAIOBj4vZmNBSqIZ1NYg8J7NBOBoUA/oKOkL0QbVUbk3O+6pGsJmvMfqC2qZ7XYnYOkDsC1wA/rW1xPWUbOIR8SVBkwMOH7AILmjdiT1IYgOT1gZo+Fxask9Q2X9wXKo4ovCZ8CzpS0mKBp9VhJ95Nb51AGlJnZm+H3RwgSVi6dw/HAIjNbbWY7gceAI8itc0jUUNw59bsu6ULgdODz9skDp7lyDnsT/MHzbvj7PQB4W9JeZPEc8iFBvQUMlzRUUluCm3dTIo6pSZJEcN/jAzO7OWHRFODC8POFwBPZji1ZZnaNmQ0wsyEEP/cXzewL5NY5fAwskzQiLDoOmEMOnQNB095hkjqE/6+OI7inmUvnkKihuKcAkyQVSxoKDAemRRBfkySdDFwFnGlmWxMW5cQ5mNn7ZtbbzIaEv99lwMHh70v2zsHMcv4FnErQU+ZD4Nqo40ky5k8TVIvfA2aGr1OBngQ9lxaE7z2ijjXJ8zkG+Gf4OafOATgImB7+W/wD6J6D5/AjYC4wC7gPKM6FcwAeJLhvtpPgInhxY3ETNDt9SDCtzilRx9/IOSwkuE9T+7v9h1w7hzrLFwO9sn0OPtSRc865WMqHJj7nnHN5yBOUc865WPIE5ZxzLpY8QTnnnIslT1DOOediyROUc865WPIE5VwjJFVLmhlOZfGupCslFYTLSiX9ppFth0j6XPai3ePY2yTNTNP+2oc/hx2J0y44l0lFUQfgXMxtM7ODACT1Bv4GdAWuM7PpBA/4NmQI8Llwmyh8WBt7S5nZNuCgcNgb57LCa1DOJcnMyoFLgG8ocIw+maTx6LCGMTMcFb0zcBNwZFh2RVireUXS2+HriHDbYyS9pE8mTXwgHLIISYdI+m9Ye5smqbOCCSJ/KemtcEK8rzUVe3jsDyT9KawNPi+pfbjsJUm3SHo5XOcQSY8pmDDwp5n6eTrXFK9BOZcCM/sobOKrO3XFd4BLzey1cIT67QSjon/HzE6HXSNEn2Bm2yUNJxhepjTcfizBBHArgNeAT0maBjwMnG9mb4VzV20jGEpno5kdIqkYeE3S8xbMzdOY4cAFZvZVSZOBzwL3h8t2mNlRCmZ2fgIYRzA/0IeSbjGztc34cTnXIp6gnEtdfdMNvAbcLOkB4DEzKwsrQYnaALdLOgioBvZNWDbNzMoAwvtGQ4CNwEozewvAwulYJJ0IHCDpnHDbrgTJp6kEtcjMau9JzQiPUat2gOX3gdkWzsck6SOCkas9Qbms8wTlXAokDSNILuXAfrXlZnaTpKcIBvx9Q9Lx9Wx+BbCKYFr5AoJaVq3KhM/VBL+bov55dgR808yeSzH8usdoX8+ymjrr1eDXCRcRvwflXJIklQB/AG63OqMsS9rbgikKfk7QcWIksBnonLBaV4IaUQ3wRaCwiUPOBfpJOiQ8RmcFU7o/B/y/cD4xJO2rYBZg5/KK/2XkXOPah01ubQhmRr0PuLme9S6XNIGgZjKHYIrvGqBK0rvAPcAdwKOSzgX+TTB7b4PMbIek84Hfhh0athFMTngXQfPc22FnitXAWS08T+dix6fbcC4PSRpCMD/XmDTvdzFQamZr0rlf5+rjTXzO5adqoGu6H9QlqEnWpGOfzjXFa1DOOediyWtQzjnnYskTlHPOuVjyBOWccy6WPEE555yLJU9QzjnnYskTlHPOuVjyBOWccy6WPEE555yLJU9QzjnnYskTlHPOuVjyBOVaTNKWhFeNpG0J3z8fdXzNIWlxA3M6Zep410sySZfVKb88LL8+W7E4FxeeoFyLmVmn2hewFDgjoeyBqOOrK5xTKY7HmA9cWKfsS2G5c62OJyiXMZIKJF0t6UNJayVNltQjXDYkrBn8j6RlktZL+l9Jh0h6T9IGSbcn7OsiSa9J+q2kjZLmSjouYXlXSXdLWilpuaSfSiqss+0tktYB10vaW9KLYVxrJD0gqVu4/n3AIODJsBb4PUnHSCqrc367allhDegRSfdL2gRc1FhMDXgL6CBpdLjP0QSz3r6VcMzukv4paXX4M/unpAEJy1+SdKOkaeHP6Ynan7lzucYTlMukywgm0jsa6AesB35XZ51DgeHA+cCtwLUEk/KNBs6TdHSddT8CegHXAY8lXHzvJZhQcB9gLHAi8JV6tu0N3EAwbfqNYVz7AQOB6wHM7IvsXhP8RZLnOxF4BOgGPJBETPW5j6DWBEFt6q91lhcAfwEGEyTRbcDtddb5EvDl8NyqgN8kGb9zseIJymXS14BrzazMzCoJEsA5dZq/fmJm283seYIZZh80s3IzWw68QnBhr1UO3GpmO83sYWAecJqkPsApwOVmVmFm5cAtwKSEbVeY2W/NrMrMtpnZQjN7wcwqzWw1wSy5icmwOV43s3+EU7p3SSKm+twPXBBO5z4p/L6Lma01s0fNbKuZbSZItnXjvs/MZplZBfADgkTf1PTyzsWOT/nuMmkw8LikxAnuqoE+Cd9XJXzeVs/3Tgnfl9vuE5gtIaglDCaYSG9lMAM6EPzxtSxh3cTPSOpNULM4Eugcrr8+qbNqWOIxkolpD2a2VNJC4GfAAjNblrA9kjoQJLqTge5hcWdJhWZWXU8cS8I4erH7z9a52PMalMukZcApZtYt4dUurB01R38lXq2DJq4V4XEqgV4Jx+liZqMT1q07M+eNYdkBZtYF+AJBs19D61cAHWq/hDWSkjrrJG6TTEwN+SvwbfZs3iMsHwEcGsZ9VG1ICesMTPg8CNgJ+BTtLud4gnKZ9AfgBkmDASSVSJrYgv31Bi6T1EbSuQT3jp42s5XA88CvJXUJO2fsXef+VV2dgS3ABkn9ge/WWb4KGJbwfT7QTtJpYfPb94HihnbezJhqPUxwv2pyA3FvC+PuQXAvrq4vSBoV1rZ+DDySULtyLmd4gnKZdBswBXhe0mbgDYLOCs31JkGHijUE917OMbO14bIvAW2BOQRNdY8AfRvZ14+Ag4GNwFPAY3WW3wh8P+xN+B0z2wh8HbgLWE5QoyqjcanGBEB4j+xfZratnsW3EvTsW0Pw83y2nnXuA+4BPgbaEXRWcS7naPcmfefiSdJFwFfM7NNRxxJnkl4C7jezu6KOxbmW8hqUc865WPIE5ZxzLpa8ic8551wseQ3KOedcLOXVg7pFHTpam67NHHYs1YpkuL4aX6vxfdcp32NfTWyX6vq7jtNQrbmBYtUttzofkv3ZJaynpjZqcp8pHrvB/Sa5g7rnnPT+U1i5xY0Z6d5f3d1ns7WlmceKWYPQJlu3xszqPi/XLCdN6Ghr1yX3tMCM9yqfM7OT03HcKOVVgmrTtQdD/+fK3cr2uLjWavCiW2c7q//7HkmikfVqy3aNp9DQ913lVu96dffzyfa2e3l1U/urs35trNW2+/K661c3sJ9d5XWWW53yhPEk9lhW9+JX08B6tZLdru76NUnuZ4/91q5Xk9x6DS1P/L7HtnX2ncw+Gjm21Y21oRibOt6u7RrYX1Pb1S5uavsU9tWgps6tpRr6mTbg+cq/LUnXodesq+bN5wY0vSLQpu+HvdJ13CjlVYKqj4UZpMFE1Vzhfmt/j5KqSTWwj7j91ZdJDdbeaqX2+9/0dg3WFpP8oWf6gteYbMcYh/vReZKYMsOojkUc2ZP3CapBdZNDE8liV6KjgfXilGziFEu6xeEi6naXz/8mMUoIBtTk5S91w1pNgmp2TSrFi31jx8lYbS5TGmwezZUTaIY4n1tUsaXSNFePlJr2UpWpmlOMElOimmY3MeSm/EtQaao95FwyiZEmm/GgyYttUvtI43Ytlsq9p/q+Z0OUzZVNicsfBjFNTACGUR2Xn1OW5F+CqtVAotoj8WSqOSwLzWytOomm+oua7otzOi8Uaa5hNNg5ouEN0nr8rEj7v2d8E1Mib+LLN6kmiiju39Q5poUzSkRWG2iuHAsXSP7inM0LWFw6cLSw115OyJHEBMGvV3VO/pI1X/4nqAZkrfYh4t2hIpPS0NSXFxfBVirpe0+p/Bunrcdi7iSmWgbszMG4W6L1JKimkkKSy+u2DO7i19F4yeXu5XW1NEnH6Vxci7Su9NSaElQzJVvTajBxpbCPBmW6xtXUBSzVZ4yS3T4d4vYbG2HniKzde0rXOURRO87hGohh3sSX8+pmiCaa1xpMHs1NCq2l+S7dmrpuZPpiFsUDopnsft0ScexW3tJaYA4npl1s12AvrUb+JSjXoFbZ2y/dMpkoc7H50WVN8KBu65L/CSqiXnzJNOvVXSffu41nsldig/tu6GIex957rUU2O0Xk1b+fqG7eoGo5K/8TVK0mhjbKSnLw5r8mNZnEWlOvvkx1jsjQvaeMjhjhghpUK/rvDz4flHPO5QQDdlCQ1Kspkv4sqVzSrISycyXNllQjqbTO+tdIWihpnqSTEsrHSXo/XPYbSWmt4uVXglJQE7IM1IJ37VeZPU6sGfXX/sxSaDJLYd0o1FjO/ZlqVpN6D7761NTEp+NGS/8drCbPmvcCNaakXkm4B6g7X9Qs4Gzg5cRCSaOAScDocJs7JBWGi38PXAIMD19pnYMqvxJUggYTSG2Saeh7U+s3Z3lzNbXvNJPF6P5XcxNZQ9tlOjHW3X9T35uTCHIwee4m7n+cxFwwkoSSejW5L7OXgXV1yj4ws3n1rD4ReMjMKs1sEbAQGC+pL9DFzF43MwP+CpzV0vNMlPf3oLI1ink27y/lRWeKFt9fSU8YsZh/KO4X7Vy69xRxrcky+AeEIaqTr1P0kjQ94fudZnZnMw/dH3gj4XtZWLYz/Fy3PG3yPkGlKhsX/7xIMI2J+wW3OXLpnNLdOSKbcqyGmMmEVJ8km+8A1phZadOrJaXe8QcaKU+bVpOgsjWKeb0jSrR0mKXWLKqLapR/iSd5zmm57wSZv++UjX/DLP17ZTsh7XZsiKqbeRkwMOH7AGBFWD6gnvK0yb97UM29b5Pl+z1x1tS9qIaWy2z3buI1NN0Ul8w6jdjjmLv228D9Gr8P4prBaizS5BQQ1VaQ1CvNpgCTJBVLGkrQGWKama0ENks6LOy99yXgiXQeOH9rUOmeD6ruYLFJru+1ohyRtlGymxh7r7mdI6KQzXtPzT3HDNecok9KnzBgJ4VNrpcMSQ8CxxDcqyoDriPoNPFboAR4StJMMzvJzGZLmgzMAaqAS82sOtzV/yPoEdgeeCZ8pU3GEpSkPwOnA+VmNiYsexgYEa7SDdhgZgfVs+1iYDNQDVS1qC21mYliVyLbVZCe/SYlz5JbMiNI5MwDuk3NnJuKdJ9T3O49xeXfrBnilJhqmSlttSMzu6CBRY83sP4NwA31lE8HxqQlqHpksgZ1D3A7QddDAMzs/NrPkn4NbGxk+wlmtiZj0TUkxeSQSoeHlnaOyPvOFS3R0uk1ckjO3HtKVnOSQYZqTnFMTIlqWtl9iIwlKDN7WdKQ+paF7ZXnAcdm6vh7HjR8z9TQRo00KTZ4jIhqSsmec1O1GqV6jYhTskjlweJsicvPJ5e6ladJ3BMT1HaSyL9uA42J6h7UkcAqM1vQwHIDnpdkwB8b678v6RKCJ5kp6to9e889ucxo6iKd6WtjnEYfyIGLZr0y+kB0ev99ciExfSJ9TXy5IqoEdQHwYCPLP2VmKyT1Bl6QNDd88nkPYfK6E6Bdv4G7/rclO89TtmpSLhSXWkK6ZaJzRLLidu8pWTmVHKJnQI3XoDJLUhHBeE/jGlrHzFaE7+WSHgfGU2d8qGSl7b7PHguat79GxTS5ZXKajAale4SHdJ9DS/cXZfJoZrKMtGmvVdecPlHdygYAjaIGdTww18zK6lsoqSNQYGabw88nAj/OZoDOORc3hthp+ftkUH0yVl8M+9m/DoyQVCbp4nDRJOo070nqJ+np8Gsf4FVJ7wLTgKfM7Nn0B0iLBoFNaTTzVAeozTVG6rW+TD2gm6pkB2DN5ECtST48nLZRy1sYRy6LxwO3zVPbSSKZV77IZC++evvZm9lF9ZStAE4NP38EHNjsAyf7gG6K26d8vDqLXY7J8wt1RviU9RllyJv48kYGn2fKttjElvQFKPldtvgB3VSff8qFxNPiac4b2D4Xu4enqcaYq7WmuryTRL5pqtdemjomtCSJRJWAIk94cZKuprM49N5Ls1x+7ilfEhME/7W8m7nbXapj8NW3fZqTYWzVuTintfdfXK6RTXUnT3X7pDaJ+WjjmWjai9PzaLEhH0kibyX5/FOLx+BLYxIyBTuLpJt3YzJxUW7xBIY52KQX59hyXD7VnGoZXoPKfdmqpaThOBl7SNg1LdkLWC5d6NJ87ymXm/byVT710EtG/iWoWg0lkFTLmxCbDgwtka3Y01CTynhtMtIHaHMsacawaS8fa061gueg0jPdRq7I3wRVq4nEk7EEk3DcvEhi9YljE1VUvfey2TkiXeL47+caZECNN/G5Zknrvadwl9m+fmTjgpXsdTtb80M19y/2fOgcESf5UnPK6L+ZopryPTL5laDUyMW9bgJpoqmvoQdtm92bL3Efca9RxTWuKMVtLL9k9pWpe0/+QO4nsvhHRGusQeXt2aY0FFEz1k92Pzn9K5rkcETNGXYo6W2aOyRSQ8P2xGFoo+YeK10x5dGQRlkfushqdn9lWXVYi2rq1RRJf5ZULmlWQlkPSS9IWhC+d09Ydo2khZLmSTopoXycpPfDZb8J5/pLm7xNULX2SDzpGhcvE+Pp5dsYfclo6cUym4nEZUYuNGVGlJB2C8FEjRUk9UrCPcDJdcquBqaa2XBgavgdSaMIxlAdHW5zh6Ta3hq/J5iPb3j4qrvPFsn7BOWcc/mi2gqSejUlnF9vXZ3iicC94ed7gbMSyh8ys0ozWwQsBMZL6gt0MbPXzcyAPuvn6gAAIABJREFUvyZskxb5dQ8qCql0jsjVkSRSjDd2DxYnI10xp6H3XlSdI9L23FMWarRZa9aLUe0uxW7mvSRNT/h+Z2Mzk4f6mNlKADNbGU4YC9AfeCNhvbKwbGf4uW552uRfgkp2NPNcTRa5JJWLfqaef8p054ZUexvGuHNEs4/X7P3F5+K/hxjGFnSSSPoewBozK03Toes7qDVSnjb5l6BqtfTB2zqbNzj0Ud3tmpMAcyRZNtnrsKHf6WzUqFLu9p3kBSgOtcF01RbicC4tlPGaUwwTU6IMjySxSlLfsPbUFygPy8uAgQnrDQBWhOUD6ilPm/y/B1Wn40GDvfWS7aDQnI4M2er8YMQ+yTWpqU4TedQDLe86eOTy+cSgE0RTDFFjyb2aaQpwYfj5QuCJhPJJkoolDSXoDDEtbA7cLOmwsPfelxK2SYv8rUElK8ohjnKk5lSXmvt7nI3f/wabveL/7E5s7z3FoGkvYzWnmCelutI1H1Q44/kxBPeqyoDrgJuAyeHs50uBcwHMbLakycAcoAq41Myqw139P4Iege2BZ8JX2rSeBJXkaObpPo7bXdL3kpq6bsSt2avuRT6Ttbx8mpDQJS2YDyo9TTENzXgOHNfA+jcAN9RTPh0Yk5ag6pGxJr4GHgS7XtJySTPD16kNbHty+EDYQklXZyrGxuxqCmyqeS6Z5dmWraa+fGhSTFbdpsVUmxqjbJrM9LEz2LSXsQdxc6BJrz4ZbuKLnUzWoO4BbifoG5/oFjP7VUMbhQ+A/Q44geAm3FuSppjZnLRE1dRo5tS/PK01rmzVsuJ8rybJ2NLeey8unSOSHTkiSjFo2ku7OMTQTK1xNPOM1aAaeBAsGeOBhWb2kZntAB4ieFAsI1Ie4qihGlOcR4GIc02npX/d51OniSyzmhqf8ymH1HYzb001qCh68X1D0nthE2D3/9/euUfLUtV3/vM99155iQoiBAGFmBsVXIrmihoTR4MPNETMJEwwMbLUCZqFRk2cRJK1zGTWsBZ5jMZEkRBfxBjJjc87hiiExJg4IiCC8pCAoIgQEKMiolzu6d/8Ubv69Knu3bWretejq/dnrVrdVbVr1+5zuvevfs894/xhwNcn9ucmf0k6TdLlki5f//73wwXOogKl5PpZ44hV7682TU3mi5q/6twjNh1GoJmNwgIkvPUFR7P9T0v8N4tu2ltSk95mopY6Wgra/iTvAB4FHAvcDvyfGW0qJX+Z2blmtsPMdmzZb7+N410LgyZQYatLaz6qChNkU5pU7Em0eJ+icGhDWC8bXQqHQQimDUYoaBsKrUbxmdkd+XtJfwl8fEYzX1JYvXsG+o6KCbrj48y/vtj/rPtNJfuGosJrmd+sKoWJOx9z7vepU6F89n0qj6x5qgjOmPTA99R6WHkFerOuUw+JGcW3LLQqoPIsZbf788DVM5pdBmx3CWHfIKui+8vNDcq9lv0uWghsGAu3lkPVSwM/2pyw2gov97Hq2k4Iof+DLjWXAWlNkwzJfBdCYwLKkwj2TEnHkk29XwVe6do+HHinmb3AzPZIejXwSWAL8G4zu6apcSYSicQykFeSWCUaE1CeRLB3edreBrxgYv8C4IJaNw4tFluTyv1oeixLy4LaRStVzhcNL2+R4MoRVRNzkxY4SAzYkzSogdB2RYcF7tf7JeCLLBrMEECpMItWAWJZ/ugtMATfUw8fRGKSTHxDo2KJo6lgCd/vpkwgBQispRNMMVm2p/zieMtKG9X5fF0HR5SxDL6nITOwHKcQhi+gQimLlIs5dwykXl+nJruy877JtM/ReytKFO1pBYSiwaBCyEMYnoAKFDRVtRdve9/CUbP6HYhgisqyaVKRCE7MnUVs39OK/g+WkaRBDYWmhEESMtMU58smJry6T9l9qb3XIYM27a2A5pSTlzpaJYYroHKqaDgh52OMYVWoMncsOs9UFTB1Bd4S+p76SkrKrU4SUMuMKpji8l1P+7JgiZAKEvnxlQmC8EzOVXxVrUXvhbLo/WJOwqmw6wY905zaELaGUpj5UCj1MVXValZVC4pJG8Klb8ERU90v4HuK1T70uoZMe0PQnDr5DLZ6GtTgxfFU0djYy2J4+htEsVrLNllELTC0eGpZu1SEtZRBLqfRcfHXxhZQDLk38ZbbkPRaSVdLukbS69yxAyVdJOkG93rARPsz3AKy10t6XnOfcjODF1CxKRU8fV4XKpQRM31CGmVbr9eXqkqXgq7DJT4S1ehSME0SQ0BJehzwa2Rr7z0BOFHSduCNwMVmth242O0j6WiymqjHACcAZ7uFZRtneAKqqkbj2vs0rUFoQqG0KXhCBUPZJO7rx/ekXVcoVF1WI6bwib3eUyyhXFGbWWiSb1lzysfaF8EEjGvxRdCgHgtcYmb3mtke4F/IinefBJzn2pwHvMi9Pwk438zuM7ObgRvJhFvjDE9A5ZRpMrEXLAzoL5//x0KvL9pWlxOdR1vrnMiaVdCihJHuubBpb4U1uz4JpFmYKWgjK9J9+cR22kQ3VwPPkPRQSfuS1UE9AjgkX23CvR7s2ldaRDYmgw2SGLNggq6vn6jXtiykxp890u9wKvKuxtzYefRe8mf1k55F63VNhUoSd5nZjlknzOw6SX8IXATcA1wF7JnTV6VFZGMyXA0qkUgkBoRZvCAJM3uXmT3JzJ4B/CdwA3CHpEMhW7sPuNM1j7qIbBUGJ6Bq+4xCfU4Fs1xQ+4pjGAoya6deH/jNUn2N9uskTHkJfU8tsQxjBLE+WgvaSnuSDnavjwD+K/ABYBdwqmtyKvAx934XcIqkvdxCstuBSyN/uJkM1sQ3Zcprsxhsk/0uQOMJw961mCrcuC1TX6zcoSaFX9vrPfVpgm7JtNd/obQZixex9SFJDwXuB043s29LOgvYKekVwC3Aydk97RpJO4FryUyBp5vZeqyBzGOwAiqntFJE2fezoqCJsoTGgLSoTbRS/dwzscUqbVTavmawSQT6lvPU58m/z2PzkedBRenL7KdnHPsWcLyn/ZnAmVFuXoEml3x/N3AicKeZPc4d+2Pg54DdwFeAl5nZd2Zc+1Xge8A6sMfn7Ks3MPdaNVk/sLRRH+nVGEMn47IJpClhF7nf4FVzl4EhfZZlpKfW6iZp0gf1XrKkrkkuAh5nZo8H/h04Y871zzKzYysLJxU2h89XNBXyXdcPNDD/0SZy30VMf05oeHnTPqS2fVSLhHA3lQ7Qp7DyhvOdlsPX5GeEgrah0JiAMrNPk0WHTB670CWGAVxCFg3SDSUCpSyxN7SfpcYzscUMfli4r6rBEX0NmpjEl5jroW8ljfooBPo4pqoYlfKgBkGXUXwvB/7Bc86ACyV9vpBgVp2qUXc9onSsDVV+CBYabSbZtq7ptFA5YhmEJTSu1bR2j6UnWiWJpaGTIAlJv0cWDfJ+T5Onm9ltLhTyIklfdhrZrL5OA04D2PqQA6adROOG7rXufFC8PjD51iYEpFqO7Kvqe6qtyRSuq9XPohP1osERQ/Q9xapWvsQsu9ZUZDQajvAJoXUNStKpZMETv2I2+xdkZre51zuBjzCn7pOZnWtmO8xsx5b99pu4kc2doYu+p2jlh0KuH7JZcJI6vqu6tffqjq0tQjSs2DX3Wqa2Ga0BYT4Ek16R7GuQTHyNIekE4HeAF5rZvZ42+0naP38PPJesdlTNmxYEVahwqFh0tpbpsCeCKtpyGmUmvyWYZJeJxn1PyezWO1bNxNeYgJL0AeCzwKMl3eqSv94G7E9mtrtS0jmu7cMlXeAuPQT4N0lXkWUr/72ZfSLknqY5gqLmLFwmeJbJp1Uk6jpPocSK3msrOKKpquVdRib2KWovMkPUnCYpGiV821BozAdlZi+ecfhdnra3kVXUxcxuIlujZLH7B+YpjduNDyx65+pMjWFBepX35KG1EkhVWVAj6YXvqWUWWkIjUYkhme9CWL1KEsXaR+ZpPz7g6biHpYyCqT2hxB1G2D3LnjD6FRxRaxwVSxo1HlK+hIJjyFpTjjEs/1IIgxdQiUQiMRSGL4Y3MzwB1bRmE9j/WBNb4geeXNlU8YHaPdlHMdOF9tF1kdghEFnLSKa9ljGwFQszH56Ayml7oUIVXm3Gua4J/exV/0YxKnz3zURT9pkWKVfUFCsofFfBtDdJMvE5JP1mwPXfN7O/iDie+HiX2djsiyrm33p9U1P9ePqvMpbiPQK6WgryCTPmchu+CWnRpT76FBzRlaBJmk3vWbVnkHlh5v8DeCBZWLhv+62mB1iZujX2KrZb5vByLwuWLiotkdSn+a/peNxFEnM99KXm3kIJuZGE4NDDyWdhrF6i7jwT3/vM7H/Nu9gl0vaTqqWJQvuJwJS21jQ9euwK9ls1Hb3XNl2a9vr6N0lUwxjgU/F8vALKzH677OKQNp3jETAb5rT5YefLxFQwQyh9DB/vy/1i+Z76TBuFYKN1NcC/fwV69KzZCqWVJCS9VtKDlPEuSVdIem4bg6tDqekt1jIbnuui1fRLZJSZ4hY11ZVVLS8d3qie/6lCzb2lN+0l4mGBWwmSXi/pGklXS/qApL0lHSjpIkk3uNcDJtqfIelGSddLel4Dn2wmIaWOXm5md5PVxHsY8DLgrEZHFYEpQVNVYCxYs2/TeQ/h/jBhTcSrh07Grt3Yx5T7qmL4cULL7lQtz9NVzZc2ywitUEmjJBwBhI3Ctrm9SIcBvwHscKudbwFOAd4IXGxm24GL3T6SjnbnjyFbhPZsSVsa+5gThAio/NO+AHiPmV3FEukGZRrRhsZjM2PQ62pUQX30ndBJvhhcUacwWFsCpW3B1efiaE0Xg03FZuNiUYMktgL7SNoK7AvcBpwEnOfOnwe8yL0/CTjfzO4zs5uBG5mzwkRMQgTU5yVdSCagPukqjff3Wxei0TRhAuwjPnW/zAwQq7BqTpXowFKTnmfSq1o8tuo4mtRGkmmvl/fuJeEmvoMkXT6xjRd+NbNvAH8C3ALcDnzXzC4EDjGz212b24GD3SWHAV+fGMWt7ljjhCTqvgI4FrjJzO6V9FAyM1+/WTBRd7qG3+b+6jC4PKeK9LZALFQWYlN+p9BJtA2B0/WEnrSmBgmePe4ysx0ze8h8SycBRwHfAf5O0ksq3rSVL1mpgDKzkaQjgZdIMuDfzOwjTQ+sFpPaT5lgKfzJx80r/tmnShpFkD5dCbJWBEi0MHPP+ZYSczulqdWHp5p1J+iWTmtqSyjH+bM8G7jZzL4JIOnDwE8Cd0g61Mxul3QocKdrfytwxMT1h5OZBBsnJIrvbOBVwJfIFg58paS3Nz2whSma6oo+J+91BV9U3Wi8Kte1FPHXyfpPPpoKjvCRfE+JmOSm5rb9bHGi+G4BnippX0kCjgeuA3YBp7o2pwIfc+93AadI2kvSUcB2srX6GifExPdfgMfly7NLOo9MWCUSiUSiLYwoDnAz+5ykDwJXAHuALwDnklUO2ukWl70FONm1v0bSTuBa1/50M1tfeCABhAio64FHAF9z+0cAX2xsRLGJXUGiYn+mBpSjwr2ntKKmntxjVjEv9Fmb2KagksTcNmru1Q6M6NosFuFv01vTXk/8arGGYWa/D/x+4fB9ZNrUrPZnAmfGuXs4IQLqocB1knKV7snAZyXtAjCzFzY1uFrks7XvSaNQMGKqlc+1UTHIYi4NlE9ahFKB4zu9qB+oyjVVf5ltLePRZnDECvieekdPBNOYpQkhjkOIgHpTnY4lvRs4EbjTJYMh6UDgb4Ejga8C/83Mvj3j2hOAt5IlkL3TzKonBhcFVaBQKAqiqIKpI3xjL/tMoaWTvAJuVHK+CxpfjbZHn7Uthqg59U0wOZZ5HqpDSBTfv9Ts+73A24C/mjiWZyqfJemNbv93Ji9yGcpvB55DFj1ymaRdZnZtrVGUaVSV+9vcnQrH512zLNT+EdSNvIvRR0xtrg08eU+16Nvkvsz0VDABoQEQg8IbxSfp42UXz2tjZp8G/rNw2JepPMlxwI1mdpOZ7QbOd9cFEVyLb6qSBIWov3rRfEuVyNsFbUfvhVKSmLtQzb1FtbZFIwIDI826Sorthfa0FFUvCgU/520DYZ4G9VO5n8mDgKMr3m9TprKkg2e0mZW1/BTvILIM6dMAthwwrm04I9E2UJMKzaMqoc9JuV4Nqc15oinfT998T0Om9xP6AFmxr908ARWiteyONZAJKmUtm9m5ZCGS7PWII6ba9cqHVPxkfZRebRM7OMJHj31PybTXIcsmZFfsXz5vPai6vqd5+DKVJ2kka9m7/lN+Pj9aEhwxVTmi7AvTphAqCz+vyTjIIf8tF/eLtPmb76uPyUeV8fY1ai/iqridsWyCKWfJvu6LElIsNia+TOVJLgO2SzpK0gPIyrzPMzXGxeNr6nIJ+NKl1EPx+XV8xVwrLsdRpNK4Y6/7VHfsffI9JeKzFL4mDwYaKWgbCo0JKEkfAD4LPFrSrS47+SzgOZJuIIvSO8u1fbikCwDMbA/wauCTZOU3dprZNeE3JqwaeWjdn6r1gRYpW9RSyaPG8AmF/HiM4IhFq5YvvMBhy8EbDY6hy6CIXgRGLCMWuA2E0jBzSScCF1jFx0gze7Hn1FSmspndRracR75/AXBBlftNUdcEt2BwRNA9IrGwCc8bLNHgN7xtk1xffE9VwspbMu31pt82WOaxrzAhGtQpwA2S/kjSY5se0KIsupJu6QKFvjB1X/tZtK0p9fGpqu66T30nmfa8dKI5Lev3yENu0CnbhkJIou5LJD0IeDHwHrfkxnuAD5jZ95oeYF3K1nOaCprwOJCCowB7ZJorHWufklq7SsytWnOvDyapsjH0PCgiEYEB5TiFEOSDMrO7gQ+RJc0eCvw8cIWk1zQ4tkQikUjkhPqfevAsFYsQH9TPAS8HHgW8DzjOzO6UtC9ZEMOfNzvECnii76CCBhTbBzWEB55iFXPPfk6vau/lxB7TggnBM/1Pffy7RaCTgIihan3D/Ip4CSkWezLwFle6aIxb/v3lzQxrAXyJS+Pz+XHf9fPPl1aIKIkgLGlSjwW/tF6BsnAQhusgNHqvznlvodqBTlCJ+QxVMDlCCzgPhRAf1EvnnLs47nCaozTxtkxgFTJ4Kyfs9oGmx1j24wkKA1/SX2CTAjH5nhI5yzDPRCRkyfenSrpM0j2Sdktal3R3G4OrRVnRV+91m9stmnjbi5qNNXN+NGrwSW3hwqcluVZVry9LzI2c92SjUf3SRktGq1F7A4vWm0VoBF/QdCc9WtKVE9vdkl4n6UBJF0m6wb0eMHHNGZJulHS9pOc1+VlzQoIk3kYWwXcDsA/w3+mT38mHR1B5q5f7rotAcIX1lolWoaIOsStHNN1P1f6q3Df2GBdlBSb7pSVSNXMzu97MjjWzY4GfAO4FPsLGkkjbgYvdPpKOJks5OgY4ATjbLY3UKKFRfDcCW8xs3czeAzyr2WEtwJRgImjyL8tnmhJsXQiVkgidRXMgSq8fV4Qg22JMrLErR7Sdh9Tk/cr+Nj1dRiNpTg3STBTf8cBXzOxr+JdEOgk438zuM7ObgRvJlkZqlJAgiXtdTbwrJf0RcDuwX7PDioDPN+RmYHMNSn1PodF/efMeLrNR/IyVhVhV31KV4IiuKMt7isyqmPVaY5WE0gQNJeGeAnzAvfctiXQYcMnENbe6Y40SokH9KtnS668Gvk9WafwXmhzUQvg0qFCTXuRU7LkFZmnI51m1Y0/7qiZAb/sQTavsSTi276mMovayhKa9yprMgtpIqrHXAuEa1EGSLp/YTpvVnVM+Xgj8XcmdZ81kjf+zQ6L4vube/gD4g2aHE5FI0XVT0XpTpSkK7Vr4fS5tKZMYS77HvNciLEHU3iBZ6c9eKXjpLjPbEdDu+cAVZnaH2/ctidTIMkhleAWUpC8xZ3o3s8c3MqKFmNB+Sm1ts019oeHjvcyHKiFYsPW5WOyS5T0thWlvwUk/aU0tEv9P/WI2zHuwsSTSWWxeEmkX8DeS3gw8HNgOXBp9NAXmaVAnNn3zRgld4n3c3r1W/AJ06nMqmexLBVLNeSna2lSLnI9032g196r+TRo27Q2OVdacJohpPXHVgJ4DvHLi8FnATrc80i1khRows2sk7QSuBfYAp5vZerzRzGbeirq5aQ9JjwS2m9k/Stpn3nWdMulPGlviZpvkxniDJNwJVZRAZeHkDRAtZ8kzafpKGnlX1q3q96gxpkVLDQXTZvj3kpn2BikIVwgzuxd4aOHYt5ixJJI7dyZwZgtDGxOSqPtrwAeBv3CHDgc+2uSgohAaBl4xKKJWAm5HeU5jphz+hGmKTSXVNnGv2P34GNJyGssQor0MY2yTZsLMe0uIJnQ6Wbz75wDM7IaJ0MPe4V1mY6oK7ObDlYMcigLHG9Ye2F8M6k7MTQcm+DSwGH13LSyqFIOd0z7KUIak0SShNE21Z+lBECKg7jOz3XKmLklbGZSMTiQSiSVhxWbekDyof5H0u8A+kp5DFi//f+ve0FcDqtDmmZK+O9HmTVXvE2yK8+RNFStH1Fo5d1lp0kxQt3JE5PuW1txrs/xQpIoRwaR8p6VEbNTJLNuGQogG9UbgFcCXyKI9LgDeWfeGZnY9cCyAq+X0DbIaUEX+1cyqRxL6qo5vjGDTed91/v5DxxHYrgG8ZoBlWLepjLaCI4p0bUqcw6CERTLtzWdA/+oQQhJ1R5I+CnzUzL4Z+f6TNaDiUiZwioer/uPLogP7QMXP5H3yKkbrRfEp1Yzei9W+IaL6nno2WQ9KEC4jK+iD8pr4lPE/Jd0FfBm4XtI365jb5jBZA6rI0yRdJekfJB0zZ5yn5eU81u/5vrd0UWkVc8eUKW9cw37+dctk6gsuYZQXha3aX24eCypxVNImclHYaMtptFEoNzZ9jojr89j6xIpF8c3zQb0OeDrwZDN7qJkdCDwFeLqk1y9645IaUFcAjzSzJ5At7eENazezc81sh5nt2PLAiRq2pQKlIHiCw9I3t+vFuk9llHxpo5UfrFp5POTaqpSs91T9+v6GlbflC0o+px6RBNSYlwIvdqXVATCzm4CXuHOLUqwBNcbM7jaze9z7C4Btkg4K6VSaKFMEE8KnoEl5O9gsuHohgNyXbixIPPuxaGydqEUmub6tmVTAuxBhnXH3LCiicfo8tp4Ra8HCZWGeD2qbmd1VPGhm35S0LcK9izWgxkj6EeAOMzNJx5EJ0m9V6TwXUt65YariRGHf1z5vVlJgYizU1J7lr+yLOXW+iy/ysvueYt1vAWHdljaTtKYesmL/knkCanfNc6XMqgEl6VUAZnYO8IvAr0vaQ1ZF/RSzgJkh15RgLCHGgmrcqBA8UbFmn08wTQqkyW5nNg6k9pNQ7IRdd3yq5NEiD74hvqlZhJrbqtbc67F2NliS5lQNG1YIeQjzBNQTJN0947iAvRe5qacG1DkT799GttR8fUoEj7fihDznvfepMqYKbSOwqKofbObz1egLIdZTekdh5ZWj9srynWJSs7+kOfWYFfvXzCsW2/h6843gKRYrd2L8/w017Y37LVzQoLBp3IZcnLeaKnUUY2XdRYvFxqIHGtZgBEfSnGozJP9SCP2sSh6DUp+Sx9Qnn2o1e3cZqPylbmoyLlsxt4lbLoNpryeaU+P0dVzLRA++rm0yPAHlFSAFTcojn7z9DeGLMRUkUTMgoYmir2Xna/qeKtOFaa/0XikoIsHgQshDGJ6A8lUtL+KL4iu+5s18lj3fulENrgs1FqZWsl8V33WeubgXpZKaHkMfPmMofdVQ+jquJWOJagFEY4ACKpFIJAbKEj0vxSCkmvmSkmezUtgKmWwlmW3TpY8KW5/xVFEITsQNTTKtUwm8tIK3p4+eJ+xWoicJtKlSxPIQM1FX0kMkfVDSlyVdJ+lpkg6UdJGkG9zrARPtz5B0o6TrJT2vqc84yfAE1JTgKAiqvFmh4sRGrb4K/+HQ8cSirg26ZFKfKtEfWIOv9D4hZYYaEjiVl9MILGlUuWLEAiWcll5w9EQAD4pR4BbGW4FPmNljgCcA15GtXnGxmW0HLnb7SDqarHbqMcAJwNluNYpGGZaAmqXpzGozKYjK2rWJRwAtffmSkIlq0aKwsQuvLpOmVlMQLL0AXDUCtaeQuULSg4BnAO8CMLPdZvYd4CTgPNfsPOBF7v1JwPlmdp8rf3cj2UrrjTIsAQVItmnbEDSzNamNCz0Cy2MSzDWu4tZniqa96Y9WYvrLJ+1FNKxY9EWA1B3HHIGy9IIjaU7NYYEbHJSv8uC20wo9/SjwTeA9kr4g6Z2S9gMOMbPbAdzrwa79YcDXJ66/1R1rlOEFSQQn3roXX82+orCp2O8kZXX7FmZciijfj92vp8M6E3OIyW+Be1XOe1o0rNxHGwImVYpYOSpYUu4ysx1zzm8FngS8xsw+J+mtOHOe79YzjjX+RRqYBjWpDmSbV5Mat9usOXmDIrqgxOdUuryz7/ri8UW1kS59T8tm2huydjHkz9YXwjWoMm4FbjWzz7n9D5IJrDskHQrgXu+caH/ExPWHA7ct8EmCGJiAmhBI4wNsFlSF4/6OZhtzpxY+7MRXVW0SrerDqr3cRnFcTfie+m7aayMoom8+pySYWiOWD8rM/gP4uqRHu0PHA9cCu4BT3bFTgY+597uAUyTtJekoYDtwacSPNpPBmvjkHiOs6BjyJOhOVz3ffD644kSDLBwoUVaDr7ESRx0IlEgljSqb9hKJpgjXjkJ5DfB+t3jsTcDLyJSWnZJeAdwCnAxgZtdI2kkmxPYAp5vZetTRzGB4AiqnKKjcgQ3BVWg43nUn1JVdjxYsuxUplDgaa1dVn8bL8p6qHJ9qVtVH1LLgKQmKWLSP+Zc19eCRhHebiBKTfkXM7Epglp/qeE/7M4Ez442gnMEJqKJc2VCUChrVVBBEQaWa6riocs1uNtV9iJwrmz9Kzm8ER2wOlvBqXFOak6dd6I+hinYZvy3ZAAAciUlEQVTSgwX/ZlJ3aZGcFHiQaIMV+5oNS0Dl+U2AN+a7tMp5yX5Z+zYJ/bJW/VIvKkRCnqyrFoVt2UwYzbSXNKdERHpR/7JFBiWgBONAiA19R4V922jMxLznVC8VfU6NjbY+sZJ2o6/O2cFSFk2FlSdmkARTt8T3QfWeQQmoSbyCqvgPLtWoCj4pn8QqMxHWIPbTUml/vvmnuMR71XHF9D0l014pKc9puCx1RZkadBJmLumrkr4k6UpJl884L0l/5goTflHSk7oYZyKRSPSKkByoAQmxLjWoZ5nZXZ5zzyeLs98OPAV4h3stxVsZYtyg8FpUfMYaU/GCYj/zNaY6JsLSpyNv0EPh+pIn6OJ9fJpVqcZVd8HDWfTE9NaG7yk7HZjv1Af6Mo7EymlQfTXxnQT8lZkZcIkrC39oXiNqHpoSHLNNfUVB5A87n304p0tfVblAK4SFh9Jk+6b6Tr6nZNobOtaA37jndFVJwoALJX1+RhFDqFCYUNJpeUHE9bu/P1U5Il9WY6qShI+SChGlRWFDKkuUqeGF89GqmRfv21RVhkX6Dbx2ajmNhu5TuWJESVWFoGoOfanM0JdxJDZIJr5WeLqZ3SbpYOAiSV82s09PnA8uTGhm5wLnAuz9Y4dttPFVlChbor34IO7RkDqN8mvoC7hwUEZZRN2mthEDLSKwzBUjomtOSSj1ksksmlWhEwFlZre51zslfYRsXZFJAVW7MOE4eq+g5mwk8BYFVG4C3CxxpkoflUiiNgSW78s5VcW86JMqElriKFYFiTq+p65Ne5Gj9pbK55ToLyuWB9W6iU/SfpL2z98DzwWuLjTbBbzURfM9FfhuiP8JJqxzhSrmZSa+cBNgwd62QLHY0ktLTYGBZqqq6zeFtq9qyovw42rNtFe53/bNYdGLvyaTXu+JueT7MtCFBnUI8BFlKspW4G/M7BOSXgVgZucAFwAvIFu18V6yIoaliAkhY7M1pI1EXI+pr5DIOx0k0YCOVDd6r/J9itpGpH5jTJId5Rn1wrRXUSikYIgVZWD+pRBaF1BmdhPwhBnHz5l4b8Dpdfqf0oKmfE95Oza9mTLleRNy64wqkMAvX2ORPG3UyWurYnpbpr0Y4eRdk7SmpWHVovj6Gma+MEVBVSwSW/QxqeiLGnfU0ADnEOw7KhyfKhLr81kVv+RlX/rQChJVlu+I7Xsqo9Bv0pyq3z/RPUlALTnTq2Tkk3dBUxpfMBZR7nonqIodlWlUDdTwK7Mlh9qaq0bnqRAcMUXTeVUzu+jol9lkUEQiUQVj5YIkBiWgJFgrzNrrtlnwFF1JGz6p2SJl6nCZCbABpgRRze9oaAWJYGL8WGL7nmKb9rztFxSYFa5PmlMiZ0gBECEMSkDBdJh5Mbx8rEkVBFSxivmE8W9z++CBVBjzgl+6qRJHZRUkYmlG4+sCJ7wYAq1qxfSWTXu91pySYFp+evz1aoKuKkk0xkYFiWxbc1uxooQvrHzqeJNxm4WonPGtPNE6U0MJjeopaSezuJXT54Vyj0aztRzPNQuHldelZqWIUipcHz2MPLHU5Im6scLMZxXtlnSgpIsk3eBeD5hof4Yr4H29pOc18iELDE5AJRKJxCDJH+JCtnCeZWbHmlm+9PsbgYvNbDtwsdtH0tHAKcAxwAnA2ZK2xPtwsxmYgPJrShua1GYNaSOht/DoUcyiHbfJjo9r8tXQsIIvCdWkQqmTWOu0K5ltaBWh9emaSoqdhU8zKyPSGHut7aQE3MHQQqLuScB57v15wIsmjp9vZveZ2c1kOarHLXSnAAblgxIbQRKjYjXzgk9qfHbsg6oYvdcmoV841y74C7qoL2qRCXnR4IimfE81851K6SIoIgmlwVEhzPygwlp757q6pZMYWdFuA/7CnT8kr9pjZre7eqmQFeu+ZOJabwHvmAxKQMGGoMlVw1EhfBxPVJ8KgsmbF+W9cUCbReedwvVl+U7+FXIrtl+UecKkDWG4yH3Luok4rt5qYIl+YFT5Hdw1YbbzMVW0e07b4ALeMRmWgBKsub/ZyP05c0GVa0prY02pcCLvohjNN/VqhQMRKAiaPGAhWmxG7IUH615fwQRXOzCib3kiXWgxSXMaLlFjmWYW7b4jX3tP0qHAna557QLeizAoH1RWJNblQ2GsMemHKvqm3P74Oo8vynuzxY29tW/l8ZuURgGOCiaCsqKw+fmYvqSq6yuVXV/ie7LRKMy8VzFqL6bPKVpfydc0eGL5oOYU7d4FnOqanQp8zL3fBZwiaS9JR5Gtdn5p3E83zbA0KKZ9UGuWa0ybNadxu2LRWPLd3MTntBlPIm9IflS0RNvi3FOiadUOHQ9cfqPy+Tr01LRXfp8WBUUSSqtDvO+vr2j3ZcBOSa8AbgFOzm5r10jaCVwL7AFON7P1WIPxMTABZX4fVEHQjH1Qnlev76mBoIkpX1KJb6mq4hZaQSJqLhTU8j21btprKigigORzSlQlltl/TtHubwHHe645EzgzzgjCGJiAgi1r2cQyLg47WnP72W5Rk5oK2gv1PbUZ3Rc6+db1NTVdQSJG9YaK1cqnzHptBUVUSMKNMJjF+0gsDx7T/ZAZlICarMU3Gh8raE4ek110eTPrixRo6vM+Jfmi+AqT3Uax1znjI6LGtMhk67u2ae0ituaUTHqJhsnSLldLQg1KQMFGFN9Y4qxt/jHbeqZR5cbToi9qQ6CxaT83+UWpVu4RVNOmuNnHKz9FVVkGY9P9XbtoeTkN/LhaqrUXMyBigYujjCGxvGg9CailZXJF3bWCRc4KgscnmKKb9CKq5WWa1cL26dAgiFIzV0Tf06ILEQabR5vVnJK/KbEwycS3/BRNfLmgygXRmicoImeqgGxE21+pJhQYJOG9Pse3wGBZ+0WJtaptk1QUFL0QLElzSgBg/cvza5jW86AkHSHpnyVdJ+kaSa+d0eaZkr7rquxeKelNQX0DW9dGm7ZiLb4tayO2rI0m8qTYtG2MoVjVPN+MyZp8tf4GhUtLcxcKT04RUrBcvwt+4Re53pd3VDMfairfKXRsdfOcAnOOFspxSnlNiQIt1OLrFV1oUHuA3zKzK1yi2OclXWRm1xba/auZndjB+BKJRKKfrJgG1bqAcoUI82KE35N0HVnRwaKAqs6MFXXHpY2s6HPafH5s+it2OQ6SiI8/wdZzQeHLORVEMd4vtCs+hLf9UD7nRxWc97SoubBlU10KhkhEx2b8lgdOpz4oSUcCTwQ+N+P00yRdRVbv6Q1mdo2nj9OA0wD2OeSBbHX/wT3OernVRfGNXPhdHuWX50tNLQlfEGALM2meKw1y8AggTwWJxomVf1W1XdW2dfAIgVh5TrVIgilRRtKg2kHSA4EPAa8zs7sLp68AHmlm90h6AfBRstpPU7gS8ecCHPCYgy3XhLYyW1DZuhNU44oTJcESniXgSz9fmU9p8tV3vkqfAe1LcyjGUXqe400s2V56fH7CbWlCbstLV/QiqCIxWLRi369OisVK2kYmnN5vZh8unjezu83sHvf+AmCbpINC+s6DI/KgiK0asVWjqQULp4vI5tvspeA3Bk/8rF4rbOPjztHvC5IoLCA4XljQ14+H6Eu+1108sA0aKv6agiESrRB/Rd1e07oGpayEw7uA68zszZ42PwLcYWYm6TgyQfqt8r5trBHlGtMeV+qo6GvyvRZLHVU19c2SbUVfkTcBd04fQMR8qgU1otCcpTq+p8AxNVXKaMaNmum36b4Tw8No33/cMV2Y+J4O/CrwJUlXumO/CzwCwMzOAX4R+HVJe4AfAKeYlc9AWZh5ViNiZJlgGjkJk/umRmvZ/roTXEVtqZgntanzGoQupzGrbZkgK03QrVlBIjrz7lvTtFdKsd+6PqcSFtKaEokKiMiWjiWgiyi+f6NkujeztwFvq9q3sIkgiYytTkDlgqoogLwCadxphC9E0ee0qA/Kd50vQbcpqk7Oc/OKevbDKxEgSTAlOqFvv5OGGVwliVyD2iglke9mAqpo8ttYnmPzfmWFaRGznE/wjI8v+KUMvXy8vlQeLBH/x1B5OY1FgyKqak5JMCX6TBJQy4sEW3I1Izf1jTaHl+e+qa1uwrh/tNn35Ivmm47q8zBL2Hg0pzKTXtkChZXzn7xjLvnSV/1RhLQPNe1FpvUouySYErFIPqjlJjPx5XXKtwCTvqfs+B4rBE0wO0hibiRflTFNdDNVh3a8P/9e0UuX+MLJF+0v9HidW0TSnObcoOR0VSG9YjNJohXU1+jYhugkzLwphLFNI7ZpxFats1XrbFvLtjzcfBx27mrx5bX5ijX7imHopVi2zaqJ5a2PZb7N6oWXF9sVGbGYUCqrk+cLL593nS8sNnK4rDcMvCTEu3L4eAoZTzSGTcwNJVsAkrZI+oKkj7v9AyVdJOkG93rARNszJN0o6XpJz2voA04xLAGlzAe1dW19SlCN86Lc+WK+VFEwRcMrhJgSQOPPURQwnnbee031Fzn6p8tci+K9i8KvICCSYEoMhk0Pr4sLKOC1wHUT+28ELjaz7cDFbh9JRwOnAMcAJwBnS9oS62PNY1gCCmOb1tmm9SlBlWtSRYHkE0yhmpNXmMwQQL6Kw2XHfX2XVi5uWpBU7H9ugIRH+5qqUu7tPFBAJMGUWGZGgVsJkg4HfhZ458Thk4Dz3PvzgBdNHD/fzO4zs5uBG4HjFvwkQQzMBwXbxj4ohxPBW53vaas2+6by16JPykc+H/sCHDYazjlXPO57Lbl+TFe1+pog1J9VIkSq+oySjymxDFSwhBwk6fKJ/XNdWbicPwV+G9h/4tghrpg3Zna7pIPd8cOASyba3eqONc6gBFQikUgMmnABdZeZ7Zh1QtKJwJ1m9nlJzwzoa5YtqZWn4EEJKGFsK+ZBOfY4zWmPO5/nS60p+xNs5EHhjuf7Jf8HU+G1MKZJM1+JpjTdt2169YWXT7Vvmyr3DdRUvGa9kmi9qvlNSXNKLA1GrNzEpwMvdIW49wYeJOmvgTskHeq0p0OBO137W4EjJq4/nGyVicYZlg9Kxl5r97ttD3ut7ZnySRWDJmIHR0z5k2ZsG+fzCLzCdSO3lfmYxvf0BEGM72mbo/364JsKHYM3ym+xYIhgX1N+ffI1JTrHNny1Zdu8XszOMLPDzexIsuCHfzKzlwC7gFNds1OBj7n3u4BTJO0l6SiylSUubeITFhmUBrWGsbeyIkdb1jZPPutOFu8ZbfZB+YrGegnVhmYc92s++avNPD++Lp9Qy/KmuppH6yx1kf+YyoRVJE0nWGNKwijRR5q1kpwF7JT0CuAW4OTslnaNpJ1ki8ruAU43s3V/N/EYlIASmQYFjE1866447DZzgmls2pstoIqYeUL5Cia9eUET3mDACoEWs/AtcBhKW4Unx9F7AcLBygRWmUkvCabEUIln4tvo0uxTwKfc+28Bx3vanQmcGfXmAQxKQK3J2FtOQOXGSzff3O98TXkppG25gJqqJFEiqHwCa9xw8+48H1RwFXPPdb579ppxFYvNgqjU59SUYEoCKbE02Mp9X4cloDD2W7sPgC2Ff+QPLfuoW0ezNaiq+Ovhbd7PfU7zrpl+DRyTL7x8quhrWHe9oKRQbRJMiZVmmVNIajAwATViXyegxiY+ZarUfdoGwL3KBVSuOZU5FPM32UupVjPreIm/qm5x2OlBllD1y71W0BqL+z6ccJgy7Zn5NSefYHJ9JMGUWHkaMPH1nUEJqC3a0KBy8uCIe0dZ8ESeyLulYNrLyU15o6lJeHYYeWmlcps+poLgKTJ13POljOZDqtvPRmXdyveKJZiSQEqsFEmDWl62MGL/3MTnpMIoF1BrD8iOj017YROXFfOb3H4dE19w9J7X11Qw3bG53fgjlZkK687ZY4FUcPCVUfQ7bTqWBFMiEYaVhpAPjYEJKOMha7s3Hct9T7nmtK1g4vNhBYE0rSltNnd5TXwzO2fTNb5giVjBEQtrWrlgKvaTm/x8v5lRQTCZbWhOZcEPCybgJhKDw1g5AdVJoq6kE1zZ9hslvXHGeUn6M3f+i5KeFNLvFomHrGXbg7SbB2k3+7ptb93P3rp/nLi7RbaxuOEEIxMjEzbe3LxschtztyqJumMm/VQEJOgWC0LWq2RcnbyC7prbVNhKsNEI1t3mEl/zhFlbX8fW16ePFxNqU+JsYpWJW82897SuQbky7W8HnkNWQuMySbvM7NqJZs8ny1beDjwFeId7ncsW1nigMlPeD9d+CMADRpvzye53+VD3jzYn7u5ed6WQ3PF192rr2cSbz4Vrbl/jfTbt54JDE6+acWz260QwAfPMiJvbFfFG7xXbTyXWzuxuxg0Kpr7xB3B/q/yPtZ79ccy9sj7aeF8x+CGRSDAo4RNCFya+44AbzewmAEnnk5VznxRQJwF/ZWYGXCLpIXmNqHkdf+nbD+OxH341AFvuc4JkT/a6JZNX5Hm8W1wshSs8wRZnGVxz+w/e7YTEen7eNp1fuz87MRZUu0eb9+/P9w3l73PBsyc3c7nj6wVT2HrB17ReDCjwmMl8fp2y1WjX1+efH/cz+/hYIN2f/XFsd/ZHtqKAmhxrIpGoiK1cFF8XJr7DgK9P7M8q3R7SBgBJp0m6XNLl6/d8P+pAE4lEojdY9jAYsg2FLjSokNLtweXd3Ron5wI8SAfaj7/usqBBVK5iXd5heZPCayKRSFRixTSoLgRUSOn22uXdrWiuSiQSiaGwYj6oLkx8lwHbJR0l6QFk5d53FdrsAl7qovmeCny3zP+USCQSg8Ys8xeHbAOhdQ3KzPZIejXwSWAL8G5Xzv1V7vw5wAXAC4AbgXuBl7U9zkQikegb3qLKA6WTRF0zu4BMCE0eO2fivQGntz2uRCKR6C/DynEKYVCVJBKJRGKwGClIIpFIJBI9ZUAh5CF0UuookUgkEtUwmCoB5tvKkLS3pEslXSXpGkl/4I4fKOkiSTe41wMmrjnDlZ+7XtLzmvukGyQBlUgkEsuA2XQtSt9Wzn3Az5jZE4BjgRNcxPQbgYvNbDtwsdtH0tFkEdfHACcAZ7uydY2SBFQikUgsCXlR5bKttJ+Me9zuNrcZWZm589zx84AXufcnAeeb2X1mdjNZhPVxMT/bLAblg/oe377rH+2DX+t6HDM4CLir60F46PPYoN/j6/PYoN/jW5WxPTJSP3yPb3/yH+2DBwU231vS5RP757qqO2OcBvR54MeAt5vZ5yQdkuecmtntkg52zQ8DLpm43Ft+LiaDElBm9rCuxzALSZeb2Y6uxzGLPo8N+j2+Po8N+j2+NLbqmNkJkftbB46V9BDgI5IeN6d5cPm5mCQTXyKRSKwwZvYd4FNkvqU7JB0K4F7vdM1ql59bhCSgEolEYsWQ9DCnOSFpH+DZwJfJysyd6pqdCnzMvd8FnCJpL0lHka3Vd2nT4xyUia/HnFvepDP6PDbo9/j6PDbo9/jS2LrlUOA854daA3aa2cclfRbYKekVwC3AyQCuHN1OsnX79gCnOxNho8hWrHRGIpFIJJaDZOJLJBKJRC9JAiqRSCQSvSQJqIhIOkLSP0u6zpUPea077i0f0sEYt0j6gqSP93BsD5H0QUlfdn/Dp/VlfJJe7/6nV0v6gCsV09nYJL1b0p2Srp441psyNZ7x/bH7335R0kdyJ33b45s1tolzb5Bkkg6aONZ6iZ9ERhJQcdkD/JaZPRZ4KnC6KxEys3xIR7wWuG5iv09jeyvwCTN7DPAEsnF2Pj5JhwG/Aewws8eRrWN2Ssdjey9ZWPAkfSpTM2t8FwGPM7PHA/8OnNHR+GaNDUlHAM8hCw7Ij3VS4ieRkQRURMzsdjO7wr3/HtkEexj+8iGtIulw4GeBd04c7svYHgQ8A3gXgJntdvkZvRgfWcTrPpK2AvuS5YB0NjYz+zTwn4XDvSlTM2t8Znahme1xu5eQ5dK0Pj7P3w7gLcBvszkBtZMSP4mMJKAaQtKRwBOBzwGbyocAB/uvbJQ/JfsBTlaT7MvYfhT4JvAeZ4J8p6T9+jA+M/sG8CdkT9a3A981swv7MLYCvvEcBnx9ol0rZWpKeDnwD+595+OT9ELgG2Z2VeFU52NbZZKAagBJDwQ+BLzOzO7uejwAkk4E7jSzz3c9Fg9bgScB7zCzJwLfp1tz4xjnyzkJOAp4OLCfpJd0O6pKdFKmxoek3yMzh78/PzSjWWvjk7Qv8HvAm2adnnEs5ea0RBJQkZG0jUw4vd/MPuwO+8qHtMnTgRdK+ipwPvAzkv66J2OD7Mn0VjP7nNv/IJnA6sP4ng3cbGbfNLP7gQ8DP9mTsU3SqzI1s5B0KnAi8Cu2kYTZ9fgeRfbwcZX7fRwOXCHpR3owtpUmCaiISBKZD+U6M3vzxClf+ZDWMLMzzOxwMzuSzOn7T2b2kj6MzY3vP4CvS3q0O3Q8WdZ6H8Z3C/BUSfu6//HxZP7FPoxtkl6VqSki6QTgd4AXmtm9E6c6HZ+ZfcnMDjazI93v41bgSe472Yu/3cpiZmmLtAE/Rab+fxG40m0vAB5KFlV1g3s9sONxPhP4uHvfm7GRLZx2ufv7fRQ4oC/jA/6ArFbZ1cD7gL26HBvwATJ/2P1kE+or5o2HzIT1FeB64Pkdje9GMn9O/ts4p4vxzRpb4fxXgYO6+tulbWNLpY4SiUQi0UuSiS+RSCQSvSQJqEQikUj0kiSgEolEItFLkoBKJBKJRC9JAiqRSCQSvSQJqEQikUj0kiSgEr1B0rqkK92yFldJ+k1Ja+7cDkl/NufaIyX9cnujnbr3DyRdGam/fdzfYffksg+JxKqxtesBJBIT/MDMjgWQdDDwN8CDgd83s8vJknh9HAn8srumC76Sj31RzOwHwLGu7E4isbIkDSrRS8zsTuA04NXKeKY2Fln8L07DuNJVPt8fOAv4aXfs9U6r+VdJV7jtJ921z5T0KW0sjPh+V74ISU+W9P+c9nappP2VLfD4x5IucwvtvbJs7O7e10n6S6cNXihpH3fuU5LeIunTrs2TJX1Y2SKD/7upv2cisYwkDSrRW8zsJmfiKy5j8QbgdDP7jKsc/0OyyudvMLMTYVyh+jlm9kNJ28nK2+xw1z+RbAG624DPAE+XdCnwt8Avmdllbn2qH5CV6PmumT1Z0l7AZyRdaNnaQPPYDrzYzH5N0k7gF4C/dud2m9kzlK24/DHgJ8jWJ/qKpLeY2bdq/LkSicGRBFSi78xa7uAzwJslvR/4sJnd6pSgSbYBb5N0LLAO/PjEuUvN7FYA5zc6EvgucLuZXQZgbpkUSc8FHi/pF921DyYTPmUC6mYzy31Sn3f3yNnlXr8EXGNuDSdJN5FVzk4CKpEgCahEj5H0o2TC5U7gsflxMztL0t+TFeK9RNKzZ1z+euAOsqXj18i0rJz7Jt6vk/0OxOx1fgS8xsw+WXH4xXvsM+PcqNBuRPpNJhJjkg8q0UskPQw4B3ibFSoaS3qUZUsk/CFZ4MRjgO8B+080ezCZRjQCfhXYUnLLLwMPl/Rkd4/9lS3v/kng1906X0j6cWUr/SYSiYZJT2uJPrGPM7ltI1tx9X3Am2e0e52kZ5FpJteSLR0+AvZIugp4L3A28CFJJwP/TLZCrxcz2y3pl4A/dwENPyBbqPCdZOa5K1wwxTeBFy34OROJRABpuY1EYkEkHUm2vtbjIvf7VWCHmd0Vs99EYllIJr5EYnHWgQfHTtQl0yRHMfpMJJaRpEElEolEopckDSqRSCQSvSQJqEQikUj0kiSgEolEItFLkoBKJBKJRC/5/xcJP5JXhMWfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(distances.to('nm').magnitude, temp_map[101, :])\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Temperature [K]')\n",
    "plt.title('Temperature Profile')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude, temp_map)\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Temperature Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numerical Phonons\n",
    "\n",
    "Refere to the [phonons-example](phonons.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = ud.PhononNum(S, True)\n",
    "p.save_data = False\n",
    "p.disp_messages = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating linear thermal expansion ...\n",
      "Calculating coherent dynamics with ODE solver ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7995c3fe42c84b7db5c1d457e6e0203b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _strain_map_: 0.683980 s\n"
     ]
    }
   ],
   "source": [
    "strain_map = p.get_strain_map(delays, temp_map, delta_temp_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[130, :], label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[-1, :], label=np.round(delays[-1]))\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Strain')\n",
    "plt.legend()\n",
    "plt.title('Strain Profile')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude,\n",
    "               strain_map, cmap='RdBu',\n",
    "               vmin=-np.max(strain_map), vmax=np.max(strain_map))\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Strain Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Magnetization\n",
    "\n",
    "The `Magnetization` class is currently only an interface to allow the user for defining specific magnetization dynamics depending on the `strain_map` and `temp_map`.\n",
    "\n",
    "Here the magnetization as function of tmeperatrue is used as a simplified model to alter the transient magnetization amplitude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\schick\\general\\python\\wpy64-3770\\python-3.7.7.amd64\\lib\\site-packages\\ipykernel_launcher.py:2: RuntimeWarning: invalid value encountered in power\n",
      "  \n"
     ]
    },
    {
     "data": {
      "image/png": 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mwrtfY8n6nWGXJCki0SB4wcx+Ymbjzey4/UtSKxORw25U33Ie+dJ4AD7zi9eZX78t5IokFVgic5OY2QttrHZ3P+Pwl9S+2tpanz17dlf/WJGMsmrzbj43dSbb9zRx/1UnMLqmPOySJMnMbI6717b1XkI9Anf/hzaWLg8BETk8+lcW8bsvjae8KJdL75nJgvd0o5tsluhZQ2VmdrOZzQ6Wn5lZWbKLE5Hk6VNewINXnUhJfi6X3DOTRet2hF2ShCTRMYJ7gZ3Ap4NlB/CrZBUlIl2jpqKQB794Avk5US6ZOpOlGkDOSokGwZHu/h/uvjxYvgsMSmZhItI1+lcW8eAXTyAaMS65Zyb1W3VqabZJNAgazGzC/hdmdjLQ4Ty3ZjbRzBabWZ2Z3XSQbU43s7lmttDMXkqwHhE5jAZVFfObK8exp7GFy+/9K1t36/aX2STRIPgycIeZrTSzVcDtwDXt7WBmUeAO4BxgGHCxmQ07YJty4E7gAncfDnyqk/WLyGEytFcpUy+rZc3WBq789Szd4CaLJHrW0Fx3Hw2MAka6+7HuPq+D3cYBdcGhpEbgYWDyAdt8FnjU3VcHP2dD58oXkcPphEGV3HrRGN5as43rHnyT5pbWsEuSLtBuEJjZJcHj183s68BVwFVxr9tTDayJe10frIs3BDjCzF40szlmdtlB6rh6/xlLGzdu7ODHisihmDiiN/95wXCef3cD339qUdjlSBfoaPbRouCxpI33OroSzRLYJwcYC5wJFACvm9kb7r7kAzu5TwGmQOyCsg5+rogcokvHD2DFpj3c++oKhvYq4aJx/cIuSZKo3SBw918ET59z91fj3wsGjNtTD9TEve4LrG1jm03uvhvYbWYzgNHAEkQkVN+eNJS6jbv4t8cXMKiqmHEDK8IuSZIk0cHi2xJcF28WMNjMBppZHnAR8MQB2zwOnGJmOWZWCJwAqC8qkgJyohFuu/hYao4o5Jr757Bmi04rzVTt9gjMbDxwElB1wJhAKRBtb193bzaz64Bngm3vdfeFZnZN8P7d7r7IzP4EzAdaganuvuDDN0dEDqeyglymXl7L5Dte5SsPvMkfvjyebjnt/tOXNNRRjyAPKCYWGCVxyw7gwo4+3N2nu/sQdz/S3X8QrLvb3e+O2+Yn7j7M3Ue4+y0ftiEikhyDqor52adG8/Z72/mhBo8zUkdjBC8BL5nZfe6+qotqEpEU89HhvbhqwkCmvrKCEwZVMmlk77BLksMo0XsW7zGznwDDgfz9KzUDqUj2+OY5Q5mzeivf/MN8hvcppX9lUcc7SVpIdLD4AeBdYCDwXWAlscFgEckSudEIt3/2OKJR4/qH3tLFZhkk0SCodPd7gCZ3f8ndvwCcmMS6RCQFVZcX8MOPj2Re/XbufHFZ2OXIYZJoEDQFj+vM7FwzO5bYdQEikmUmjezN5DF9uPX5pbqhTYZINAi+H9yI5h+BbwBTgRuTVpWIpLT/vGAElcV53PjIXPY2aXK6dJdoEMxz9+3uviC4TeVY4K/JLExEUldZYS4/vnA0Szfs4n+eXxp2OXKIEg2CFWb2UHD1737Tk1GQiKSH04ZU8amxffnljOUsfl93NktniQbB28DLwMtmdmSwrq1J5UQki3xr0jGU5Ofw7T++TWur5oNMV4kGgbv7ncD1wJNmdj4dzz4qIhmuoiiPfzl3GHNWbeWR2Ws63kFSUqJBYADBDKRnAv8EDE1WUSKSPj55XDUnDqrgv6YvYotucZmWEg2Ca/c/cfd1wBnAxKRUJCJpxcz43uQR7G5s4X+e0wzy6SjRILg9/oW7NwM/P/zliEg6GtyzhIvH1XD/zNXUbdgVdjnSSR3dqnKomX0SKDOzT8QtVxA355CIyNfOGkJhbpT/mq4ZStNNRz2Co4HzgHLg/LjlOOCLyS1NRNJJ9+JuXHvGUTz/7gZerdsUdjnSCR1NQ/048LiZjXf317uoJhFJU1ecNIDfvLaSn/55MScdWYmZzjJPBx0dGvrn4OlnzezWA5cuqE9E0kh+bpRrzziKt1Zv46UlG8MuRxLU0aGh/Qf7ZgNz2lhERD7gU2NrqC4v4OfPLsFdlxulg44ODT0ZPP4awMyK3H13VxQmIukpLyfCV884ipsefZsXFm/gjKE9wy5JOpDQ6aNmNt7M3iHoIZjZaDO7M6mViUja+uTYvtRUFHDbX+rCLkUSkOh1BLcAZwObAdx9HnBqsooSkfSWG41w1YRBvLV6G3NWbQm7HOlAokGAux84kYgmIReRg7pwbF9K83P45YwVYZciHUg0CNaY2UmAm1memX2D/x9IFhH5O0Xdcvjcif155p33WbVZQ4upLNEguIbYfEPVQD0whrj5h0RE2nLFSQPIiRi/enVl2KVIOxIKAnff5O6fc/ee7t7D3S9x983JLk5E0lvP0nzOHdmb/51TT0OjjianqkTPGqoys2+b2RQzu3f/kuziRCT9XTyuHzv3NTNt/tqwS5GDaPc6gjiPE7tD2XNokFhEOmHcwAoGVRXx8Kw1fKq2JuxypA2JBkGhu38zqZWISEYyMy4+vh8/mL6IJet3MqRnSdglyQESHSyeZmaTklqJiGSsTxxXTW7UeGSWbmeZihINghuIhUGDme0ws51mtiOZhYlI5qgs7sbpR/dg2vy1tOgm9ykn0bOGStw94u4F7l4avC5NdnEikjnOH92H9Tv2MWulrjRONYmeNXRcG8uRZtbuGIOZTTSzxWZWZ2Y3tbPd8WbWYmYXdrYBIpIezjqmBwW5UZ6Yp7OHUk2ih4buBN4AfhksbwAPA0vM7KNt7WBmUeAO4BxgGHCxmQ07yHY/Ap7pdPUikjYK83I4a1hPnn57HU0trWGXI3ESDYKVwLHuPtbdxxK7sngBcBbw44PsMw6oc/fl7t5ILDgmt7HdV4H/BTZ0pnARST/nj+rN1j1NvL5M16OmkkSDYKi7L9z/wt3fIRYMy9vZpxqIP0WgPlj3N2ZWDXwcuLu9H25mV5vZbDObvXGj7nokkq5OHVJFfm6Ev7yr//elkkSDYLGZ3WVmpwXLncQOC3UDmg6yT1s3Kz3wdIFbgG+6e7sXqbn7FHevdffaqqqqBEsWkVSTnxvl5CO789yi9bp7WQpJNAiuAOqArwE3AsuDdU3APxxkn3og/jLCvsCBo0S1wMNmthK4ELjTzD6WYE0ikobOPKYn9VsbWLJ+V9ilSCChK4vdvQH4WbAc6GB/mrOAwWY2EHgPuAj47AGfO3D/czO7D5jm7o8lUpOIpKczhvYA4Pl313N0L11lnAoSPX10sJn9wczeMbPl+5f29nH3ZuA6YmcDLQJ+5+4LzewaM7vm0EsXkXTUqyyf4X1KeXGxxvtSRaJzDf0K+A/g58QOBX2etscAPsDdpwPTD1jX5sCwu1+RYC0ikuZOPqo79726kr1NLeTnRsMuJ+slOkZQ4O7PA+buq9z9O8AZyStLRDLZ+EGVNLa0MmfV1rBLERIPgr1mFgGWmtl1ZvZxoEcS6xKRDHb8wAqiEdP1BCki0SD4GlAIXA+MBS4FLk9WUSKS2Yq75TCyuozXlysIUkGiZw3NCp7uIjY+ICJySMYfWckvZyynobGFgjyNE4Spo0njnmjvfXe/4PCWIyLZ4rh+R9Dc6ixcu53aARVhl5PVOuoRjCc2TcRDwEwSOFNIRCQRo2vKAJi7ZpuCIGQdBUEv4CPAxcQuBnsKeCh+3iERkQ+jR0k+1eUFzF2zLexSsl67g8Xu3uLuf3L3y4ETiU0z8aKZfbVLqhORjDa6pox59QqCsHV41pCZdTOzTwD3A9cCtwKPJrswEcl8Y2rKWbOlgU279oVdSlbraLD418AI4Gngu+6+oEuqEpGsMKI6Nk6waN0OThmsmYXD0lGP4FJgCLGb178W3LheN68XkcPi6J6xSecWv78z5EqyW7s9AndP9IIzEZFOqyzuRvfibixZryAIk77oRSRUR/cqZrHuTRAqBYGIhGpIzxKWrt9Ja6vuWBYWBYGIhOroniXsaWyhfmtD2KVkLQWBiIRqYPciAFZu3h1yJdlLQSAioepfGQuCVVv2hFxJ9lIQiEioepR0o1tOhNXqEYRGQSAioYpEjJqKQlZtVo8gLAoCEQld/4pCVuvQUGgUBCISun6VsSBw1ymkYVAQiEjoqssL2NPYwo6G5rBLyUoKAhEJXY/SfAA27NwbciXZSUEgIqHrWdINgPU7NB11GBQEIhK6nkGPYP0O9QjCoCAQkdD1KA16BDo0FAoFgYiErjAvh5L8HDbo0FAoFAQikhJ6lubr0FBIFAQikhIqCvPYtqcp7DKykoJARFJCWWEu2xoUBGFIahCY2UQzW2xmdWZ2Uxvvf87M5gfLa2Y2Opn1iEjqKi/IZduexrDLyEpJCwIziwJ3AOcAw4CLzWzYAZutAE5z91HA94ApyapHRFJbeWGuDg2FJJk9gnFAnbsvd/dG4GFgcvwG7v6au28NXr4B9E1iPSKSwsoL82hoamFvU0vYpWSdZAZBNbAm7nV9sO5grgSebusNM7vazGab2eyNGzcexhJFJFWUFeQCsEPjBF0umUFgbaxrc2pBM/sHYkHwzbbed/cp7l7r7rVVVVWHsUQRSRXlhbEg2KrDQ10uJ4mfXQ/UxL3uC6w9cCMzGwVMBc5x981JrEdEUlhxt9jX0a59CoKulswewSxgsJkNNLM84CLgifgNzKwf8ChwqbsvSWItIpLiCvNiQbCnUWMEXS1pPQJ3bzaz64BngChwr7svNLNrgvfvBv4dqATuNDOAZnevTVZNIpK6CvOigIIgDMk8NIS7TwemH7Du7rjnVwFXJbMGEUkPBUEQNCgIupyuLBaRlKAeQXgUBCKSEgpz948R6HaVXU1BICIpQYeGwqMgEJGUkJcTISdi7NGVxV1OQSAiKaMgL6oeQQgUBCKSMnKjEZpbW8MuI+soCEQkZeRGjabmNmeikSRSEIhIysiJRGhSj6DLKQhEJGXkRo3mFvUIupqCQERSRo7GCEKhIBCRlJEbjdCkHkGXUxCISMqIHRpSj6CrKQhEJGXkRIzmVvUIupqCQERSRk40QmOzegRdTUEgIikjLxpRjyAECgIRSRlRHRoKhYJARFJGTsRoVRB0OQWBiKSMiHoEoVAQiEjKiJp6BGFQEIhIyoiNEeisoa6mIBCRlBGNGOoQdD0FgYikjGjEaFESdDkFgYikjIgpCMKgIBCRlJGjHkEoFAQikjIiEaPFFQRdTUEgIikjGkE9ghAoCEQkZeREIgqCECgIRCRlaLA4HAoCEUkZOjQUDgWBiKSMaCSiweIQKAhEJGWoRxCOpAaBmU00s8VmVmdmN7XxvpnZrcH7883suGTWIyKpLRqMEbh6BV0qaUFgZlHgDuAcYBhwsZkNO2Czc4DBwXI1cFey6hGR1BeJGIDmG+piOUn87HFAnbsvBzCzh4HJwDtx20wGfuOx+H/DzMrNrLe7r0tiXSKSonKCIDj7lhlYyLWkos8cX8NVpww67J+bzCCoBtbEva4HTkhgm2rgA0FgZlcT6zHQr1+/w16oiKSGjw7vxeL1u2jRVNRt6l7cLSmfm8wgaCvQD+zwJbIN7j4FmAJQW1urTqNIhhrSs4TbLj427DKyTjIHi+uBmrjXfYG1H2IbERFJomQGwSxgsJkNNLM84CLgiQO2eQK4LDh76ERgu8YHRES6VtIODbl7s5ldBzwDRIF73X2hmV0TvH83MB2YBNQBe4DPJ6seERFpWzLHCHD36cS+7OPX3R333IFrk1mDiIi0T1cWi4hkOQWBiEiWUxCIiGQ5BYGISJazdJvcycw2Aqs6sUt3YFOSykll2djubGwzZGe7s7HNcGjt7u/uVW29kXZB0FlmNtvda8Ouo6tlY7uzsc2Qne3OxjZD8tqtQ0MiIllOQSAikuWyIQimhF1ASLKx3dnYZsjOdmdjmyFJ7c74MQIREWlfNvQIRESkHQoCEZEsl9FBYGYTzWyxmdWZ2U1h13O4mFmNmb1gZovMbKGZ3RCsrzCzZ81safB4RNw+3wp+D4vN7Ozwqj80ZhY1s7fMbFrwOhvaXG5mfzCzd4M/8/GZ3m4zuzH4u73AzB4ys/xMbLOZ3WtmG8xsQdy6TrfTzMaa2X28rwQAAAZXSURBVNvBe7eaWefu9OnuGbkQm/p6GTAIyAPmAcPCruswta03cFzwvARYAgwDfgzcFKy/CfhR8HxY0P5uwMDg9xINux0fsu1fBx4EpgWvs6HNvwauCp7nAeWZ3G5it6tdARQEr38HXJGJbQZOBY4DFsSt63Q7gb8C44nd9fFp4JzO1JHJPYJxQJ27L3f3RuBhYHLINR0W7r7O3d8Mnu8EFhH7xzOZ2JcGwePHgueTgYfdfZ+7ryB2/4dxXVv1oTOzvsC5wNS41Zne5lJiXxb3ALh7o7tvI8PbTWyK/AIzywEKid25MOPa7O4zgC0HrO5UO82sN1Dq7q97LBV+E7dPQjI5CKqBNXGv64N1GcXMBgDHAjOBnh7c4S147BFslim/i1uAfwbi72ye6W0eBGwEfhUcEptqZkVkcLvd/T3gp8BqYB2xOxf+mQxu8wE6287q4PmB6xOWyUHQ1jGyjDpX1syKgf8FvubuO9rbtI11afW7MLPzgA3uPifRXdpYl1ZtDuQQO3Rwl7sfC+wmdrjgYNK+3cEx8cnEDn/0AYrM7JL2dmljXVq1OUEHa+chtz+Tg6AeqIl73ZdY9zIjmFkusRB4wN0fDVavD7qJBI8bgvWZ8Ls4GbjAzFYSO8x3hpndT2a3GWLtqHf3mcHrPxALhkxu91nACnff6O5NwKPASWR2m+N1tp31wfMD1ycsk4NgFjDYzAaaWR5wEfBEyDUdFsEZAfcAi9z95ri3ngAuD55fDjwet/4iM+tmZgOBwcQGl9KGu3/L3fu6+wBif5Z/cfdLyOA2A7j7+8AaMzs6WHUm8A6Z3e7VwIlmVhj8XT+T2DhYJrc5XqfaGRw+2mlmJwa/r8vi9klM2KPmSR6Rn0TsjJplwL+EXc9hbNcEYl2/+cDcYJkEVALPA0uDx4q4ff4l+D0sppNnFKTaApzO/581lPFtBsYAs4M/78eAIzK93cB3gXeBBcBviZ0pk3FtBh4iNg7SROx/9ld+mHYCtcHvahlwO8GsEYkummJCRCTLZfKhIRERSYCCQEQkyykIRESynIJARCTLKQhERLKcgkDShplVmtncYHnfzN6Le50Xdn3xzOx0MzspSZ89wMwazGxu3Lpdcc8nBTNX9gtm8VxtZrcnoxbJDDlhFyCSKHffTOyceszsO8Aud/9pWPWYWY67Nx/k7dOBXcBrnfi8qLu3JLj5Mncf08ZnnAncBnzU3VcDPzezrcTOMxdpk3oEktaCedhfMrM5ZvZM3KX5L5rZz81sRjCH//Fm9mjwP+XvB9sMsNgc/782s/kWm/O/MIHP/aGZvQTcYGbnm9nMYEK458ysZzAR4DXAjUFv5RQzu8/MLoyre1fweLrF7i3xIPC2xe638BMzmxXU9KVO/C5OAX4JnOvuyw7H71eyg4JA0pkR+9/vhe4+FrgX+EHc+43ufipwN7FL7q8FRgBXmFllsM3RwBR3HwXsAL4SzOPU3ueWu/tp7v4z4BXgRI9NCPcw8M/uvjL4mT939zHu/nIH7RhH7Mr3YcSuLN3u7scDxwNfDKYT6Ei3oI0fc/d3E9he5G90aEjSWTdiX+zPBjdkihK7XH+//XNLvQ0s9GBqXzNbTmzyrm3AGnd/NdjufuB64E8dfO4jcc/7Ao8EPYY8YjdU6ay/emx+eYCPAqPieg9lxOaU6ehzm4gdhroSuOFD1CBZTEEg6cyIfcGPP8j7+4LH1rjn+1/v/7t/4Bwr+6f1be9zd8c9vw242d2fMLPTge8cZJ9mgh54MDFY/OB2/OcZ8FV3f+Ygn3MwrcCngefM7Nvu/sNO7i9ZTIeGJJ3tA6rMbDzEpuY2s+Gd/Ix++/cHLiZ2qGdxJz63DHgveH553PqdxG4jut9KYGzwfDKQe5DPewb4cnB4CjMbYrEb0XTI3fcA5wGfM7MrE9lHBBQEkt5agQuBH5nZPGKzsHb2lM1FwOVmNh+oIHYDmMZOfO53gN+b2cvAprj1TwIf3z9YTGwQ9zQz+ytwAh/sBcSbSmya6TctdkPzX9CJnru7bwEmAv9qZhlxa1ZJPs0+KlkrOLtnmruPCLmUTuls3WZ2BVDr7tclsSxJY+oRiKSfFqAs/oKygzGzG4FvETsjSqRN6hGIiGQ59QhERLKcgkBEJMspCEREspyCQEQkyykIRESy3P8Bkl8I17JfyZEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def magnetization_cuire(x,Tc, M0, beta):\n",
    "    m = M0*((1-(x/Tc)**(3/2))**beta)*np.heaviside(Tc-x, 0.5)\n",
    "    m[np.isnan(m)] = 0\n",
    "    return m\n",
    "\n",
    "plt.figure()\n",
    "temperatures = np.r_[10:1000:0.1]\n",
    "plt.plot(temperatures, magnetization_cuire(temperatures, 770, 1, .3))\n",
    "plt.xlabel('Temperature [K]')\n",
    "plt.ylabel('Magneitzation')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `calc_magnetization_map` method must be overwritten to allow for calculating magnetization dynamics."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "class SimpleMagnetization(ud.Magnetization):\n",
    "\n",
    "    def calc_magnetization_map(self, delays, **kwargs):\n",
    "        strain_map = kwargs['strain_map']\n",
    "        temp_map = kwargs['temp_map']\n",
    "        T_c = kwargs['T_c']\n",
    "        magnetization_map = np.zeros([len(delays.magnetization), self.S.get_number_of_layers(), 3])\n",
    "        \n",
    "        handles = self.S.get_layer_vectors()[2]\n",
    "        \n",
    "        for i, handle in enumerate(handles):\n",
    "            if handle.id in ['Fe_left', 'Fe_right']:\n",
    "                magnetization_map[:, i, 0] = magnetization_cuire(temp_map[:, i], T_c, 1, .3)\n",
    "        \n",
    "            magnetization_map[:, i, 1] = handle.magnetization['phi']\n",
    "            magnetization_map[:, i, 2] = handle.magnetization['gamma']\n",
    "        \n",
    "        return magnetization_map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _magnetization_map_ ...\n",
      "Elapsed time for _magnetization_map_: 0.005457 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\schick\\general\\python\\wpy64-3770\\python-3.7.7.amd64\\lib\\site-packages\\ipykernel_launcher.py:2: RuntimeWarning: invalid value encountered in power\n",
      "  \n",
      "c:\\users\\schick\\general\\python\\wpy64-3770\\python-3.7.7.amd64\\lib\\site-packages\\ipykernel_launcher.py:15: UnitStrippedWarning: The unit of the quantity is stripped when downcasting to ndarray.\n",
      "  from ipykernel import kernelapp as app\n",
      "c:\\users\\schick\\general\\python\\wpy64-3770\\python-3.7.7.amd64\\lib\\site-packages\\ipykernel_launcher.py:16: UnitStrippedWarning: The unit of the quantity is stripped when downcasting to ndarray.\n",
      "  app.launch_new_instance()\n"
     ]
    }
   ],
   "source": [
    "mag = SimpleMagnetization(S, True)\n",
    "mag.save_data = False\n",
    "\n",
    "magnetization_map = mag.get_magnetization_map(delays,\n",
    "                                              strain_map=strain_map,\n",
    "                                              temp_map=temp_map,\n",
    "                                              T_c = 770)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude, magnetization_map[:, :, 0])\n",
    "plt.title('Magnetization Amplitude Map')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialize dynamical magnetic X-ray simulations\n",
    "\n",
    "The `XrayDynMag` class requires a `Structure` object and a boolean `force_recalc` in order overwrite previous simulation results.\n",
    "\n",
    "These results are saved in the `cache_dir` when `save_data` is enabled.\n",
    "Printing simulation messages can be en-/disabled using `disp_messages` and progress bars can using the boolean switch `progress_bar`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: unpolarized\n"
     ]
    }
   ],
   "source": [
    "dyn_mag = ud.XrayDynMag(S, True)\n",
    "dyn_mag.disp_messages = True\n",
    "dyn_mag.save_data = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Homogeneous magnetic X-ray scattering\n",
    "\n",
    "For the case of homogeneously strained/magnetized samples, the dynamical magnetic X-ray scattering simulations can be greatly simplyfied, which saves a lot of computational time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $q_z$-scan\n",
    "\n",
    "The `XrayDynMag` object requires an `energy` and scattering vector `qz` to run the simulations.  \n",
    "Both parameters can be arrays and the resulting reflectivity has a first dimension for the photon energy and the a second for the scattering vector.\n",
    "\n",
    "The resulting reflectivity is always calculated for the actual magnetization (`R_hom`) of the sample, as well as for opposite magnetization (`R_hom_phi`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.610080 s\n"
     ]
    }
   ],
   "source": [
    "dyn_mag.energy = np.r_[600, 710]*u.eV #  set two photon energies\n",
    "dyn_mag.qz = np.r_[0.01:5:0.01]/u.nm #  qz range\n",
    "\n",
    "R_hom, R_hom_phi = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example half-order antiferromagnetic Bragg peaks appear only at the resonance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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": [
    "plt.figure()\n",
    "plt.semilogy(dyn_mag.qz[0, :], R_hom[0, :], label='{}'.format(dyn_mag.energy[0]))\n",
    "plt.semilogy(dyn_mag.qz[1, :], R_hom[1, :], label='{}'.format(dyn_mag.energy[1]))\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.xlabel(r'$q_z$ [1/nm]')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Post-Processing\n",
    "\n",
    "Simple convolution of the results with an arbitrary function handle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Fo69YGc8Yc9wY87AxJs4Y83KJJxYZJCLvZ2RklDtIq4gICbc/x14TRd63T0B+jtUhKaW8nBWJIgmod8H7aCClIk58LVSPdUajqBqsbPI01fOSOTJf19lWSlnLikSxBmgkIrEi4g+MBr6tiBN7wh3FObcOHctC6Uq1dW/jOL7f6nCUUl7M1cNjJwMrgCYikiQi9xljCoBHgAXAdmCaMWZrRbTnKXcUAKGBftj7vEiBEVKmase2Uso6Ll0K1Rgz5grb5wHzXNm2J+jXpR2fr7iTO1M/5Mym2VRpPcjqkJRSXsjtZ2ZfDU969ASFHdsdR/+JXY665M15CvKzrQ5JKeWFPCpReNKjp3Oa1q3OL02fpVreEY7NK3HQl1JKuYRHJQpPNXToaOZLdyLWv4Mjfa/V4SilvIxHJQpPe/R0TligH47e/yDX+HJs6uNgrjjtRCmlKpxHJQpPfPR0zs1d2zI99E7qpC3l7KYKGU2slFJO8ahE4clEhM6jn2WHox75c56CvLNWh6SU8hIelSg89dHTOc2jq7G8yTNUzT9G2ryXrA5HKeUlPCpRePKjp3OGDx3FHOlJ1Q3v4kjdZXU4Sikv4FGJwhuEB/lh7/0C2caftGnasa2Ucj1NFNegQV3aMiX0N9RK/4WzG2ZYHY5SysN5VKLw9D6Kc3x8hK6jnmKrowH2eU9D7hmrQ1JKeTCPShTe0EdxTst61VnW5FnC8tNIn/dPq8NRSnkwj0oU3mbUkGHM4gaqbnwfk7rd6nCUUh5KE8U1rGqwP+am5zlrAkib9ph2bCulXEITxTVucLc2TA69h5rpqzmzdprV4SilPJBHJQpv6cy+kI+P0Ov2p9jsiMUx/xnIPmV1SEopD+NRicKbOrMv1DQqgo3tXiC44BQp056wOhyllIfxqEThzUYMGshXAUOJ2j+drO3fWx2OUsqDaKLwEAG+NpqO/id7HFHkzXgEcjOtDkkp5SE0UXiQdg3rsKTZ84TlpXJsxjNWh6OU8hCaKDzM6GHDmOY7kFo7Pyd392Krw1HXmF/2pPPyvO1sOKyDItSvNFF4mGB/X2JGvMwBRy3OfvWwrluhnLZw2zFu/3AV7y3Zx4h3fyHxwAmrQ1JuwqMShTcOjy3OdU3rsbjpc1TNPUKyjoJSTsjJt/PXWVtoXieMlc/eRK2wQJ6dsRmHQydxKg9LFN46PLY4o0aMYXrAbdTdM5kzm+ZYHY5yc99uTOHo6Rxe6FGF2ofm8JfuVdmdeoZFu1KtDk25AY9KFOpXgX42WtzxKttNA8w34zCZx6wOSbmx6WuTuCd8PQmze8PX99Hv51u4OXg7X69Ntjo05QY0UXiwFvVrsqHTv/EvOMvRzx/QWlCqWKey8kg/uJU/5b+J1E2Ae+YjEbG8JuPZuGMn2Xl2q0NUFnMqUYjIIyIS4epgVMUbOaAvX4bdR51ji0lf9D+rw1FuaMXe4zxlm4KPzQ9GfgINusKISQSaHB42X7Fq/3GrQ1QWc/aOojawRkSmiUh/ERFXBqUqjs1H6H/fc/xCG0IX/43cpE1Wh6TczJZtmxlgWwOdH4bQ2oUbIxvjaHM7I22LWbNtj7UBKss5lSiMMX8BGgEfAXcDu0XkJRGJc2FsqoLUqRqC/bb/kWGCyfzsdsg5bXVIyo1E7vkaB4It4e6Ltvt2fhB/KSB0z7fWBKbchtN9FMYYAxwtehUAEcB0EXnVRbGpCtS9bQsWNH2RiJwkUj5/SPsrFAApJ87QO+8HUqpdB1XrXfxh7ZakBsXROfMHcgu0n8KbOdtH8ZiIrAVeBZYDrYwx/wd0AIa5MD5VgUaNuJ0vq9xFVNI8ji/W/goFhzcvJlrSKWg1utjPj8cNoZ3Pbvbt3FzJkSl34uwdRQ1gqDGmnzHmK2NMPoAxxgEMdFl0qkL5+/rQ696XWEo7Qhf9lewDa6wOSVlt9w8UGB9qdbi12I+rdhwJoHNxvJyziSLWGHPwwg0i8hmAMcblizWLyG0i8oGIfCMifV3dnierV70KtmHvk27Cyfl8jM6v8HK1U5ey3bcpQWHViv+8fmMOEEWV5KWVHJlyJ84mihYXvhERG4WPnUolIhNFJFVEtlyyvb+I7BSRPSJSYqlTY8wsY8wDFHakj3IyZnUFXVs1ZkWntwjMz+DoB8OhINfqkJQVMo/RIG83ByK6XnEXEWFvaEdizqzX/0+8WImJQkSeFZFMoLWInC56ZQKpwDdOtjEJ6H/JeW3ABGAA0BwYIyLNRaSViMy55FXzgkP/UnScKqehN9/M5Lp/os7pTaR8/rB2bnuhszsWApAbc0OJ+2VEXU8QueQfWFUZYSk3VGKiMMa8bIwJBf5tjAkreoUaY6obY551pgFjzBLg0jKUnYA9xph9xpg8YAow2Biz2Rgz8JJXqhR6BZhvjFlXXDsi8qCIJIpIYlpamjOheTURYczdjzElaDRRB2aQ8t0bVoekKlnm7l/INEHUjE8ocT+/uB4UGB9Ob/+hkiJT7qa0O4qmRT9+JSLtL32Vo926wOEL3icVbbuSR4HewHARebi4HYwx7xtjEowxCZGRkeUIzXsE+du48f/+w2KfztRa9U/S186yOiRVifyOrGWjoyFN61Ytcb+YqDpsN/XhkN5ReCvfUj7/A/Ag8HoxnxngxjK2W9zM7is++zDGvAm8WepJRQYBg+Lj48sYlvepGRbM6Xs/ZfuHNxM/+wHOhNekSvyVn1krD5GXRdXM3Wz1GUy3KgEl7towMoTpjkY0ObEc7AVgK+3XhvI0pT16erDovzcU8yprkoDCO4gLZ/dEAynlOB+gZcbLKj66NtnDv+SYicB8MZK8ozssi6XA7mDCz3vo958ljHpvBSv3aZ0hlziyARt2joW1oLSKPCEBvuwLbIG/PQtSt1VSgMqdODvhbmNRx3ZFlexYAzQSkVgR8QdGA+WuE6ALF5Vdx5ZN2dF7EjkOIfPDW7FnlDtvXzVjDE9+tZH/LthCS/+jZJxMZ+yHq1i0U9dEqHBJiQBkRbZzavfMc/slrXZVRMqNOTs89lbADkwTkTUi8qSI1HfmQBGZDKwAmohIkojcZ4wpAB4BFgDbgWnGmK1liP8iekdRPv26d2VRwjsE5GeQ+s4tOM6kV2r77/y8h7DNH7OpyiO8nvYA8/Pu5s0qn/Ls1NWkn9GhmRXJcXgNh0wkNWtHO7V/WO140k045rAmCm/kbFHAg8aYV40xHYDbgdbAfiePHWOMqWOM8TPGRBtjPiraPs8Y09gYE2eMebHMV3ABvaMovxGDBjG/xWtE5Bwm9e1+mLOVkyz2HMsgatHv+bvfJwQ06ARD3kc63M3Ned/xasG/+N9POyslDm9hP7yG9Y5GxNQIcWr/+FqhrHPEYz+c6OLIlDtyuiigiMSIyB8pHMraFPijy6IqI72jqBjDR9zBjKavUTX7IMfe7o/jjGv7CYwx7PnkEYb4LOVs16eQO76GNqPglteRW9+ku89mohJfIfV0jkvj8BqnU/A7e4QNjjinE0VM9RA2OOLwPbkXsk+5OEDlbpzto1gFzABswAhjTCdjTHEjoZQHEBHGjP4NXzV+lapZBzj6Vh/yT7muz2Lj3Pfon/Ut22LuIqTvX+DCztX2d5HZ8i7u85nD3O+03lCFKOqfWO9oRGx15xJFg+rBbDJFXZRHNrgqMuWmnL2j+I0xpn3RBLx9Lo2oHPTRU8UREe64/R7mtxpPeE4Sp96+gZwjFf/4JzdlK00Sn2OTrSVN7ih+0l/owBfJsEXQYdu/yMnLr/AYvE7SGgrEj6SAeCJC/J06JKpqENulYeGb5LUuDE65o9Im3N1R9OPNIvKHS1+VEN9V0UdPFUtEGDL8DhZ3nYTkZ5H7fm8y96youAbyznL28zs4awLIHfw+Nl+/4vcLDONox2dozW42/fBlxbXvrZLXcsAvjrqRJU+0u5DNRwiLqEmqX11ILrY4gvJgpd1RnLsvDS3mVcWFcSk3cnO/m9nS/ysyHIH4fX4rqcs+Kf9JjSFnxjiqnt3Pp3X+TMfWLUrcvVHv+0iWWlRb/7bWpSoPewGkrGetPY6GTvZPnFO/WjBbJR5S1rsoOOWuSptw917Rjz8YY1648AX86Prwro4+enKdXl2u4/jouWwlnpo/PEbK5EehIK/M5zMr3yFwx0zGO0Zy27A7St3fx9ePHXH3EZ+/i7RN35e5Xa+Xug3ys1ieHUuMk/0T58RUD2Z1bgycTobMo66JT7klZ/so3nJym6X00ZNrtWvWmMjffsd0/8FE7fyUY290Iz+pDB2bO+Zivv8r39k7EtbnaRpGOndz2rjvg6SbMDKXvHP1bapCSYWLVa0z8cTUCL6qQ+tXD2F1XkzhG3385FVK66PoIiJPAJGX9E88T+EIKOVl6tcMZ8ATE/m0wUvI2VR8PryB/VOexDg7ZHLzdBxTf8MGeyzfxv6Ve69v6HTb9WpGsLRKfxocX4I5dbj0A9TlkteSG1CNJBNJ7FU+empQLZitJgYjNkjRROFNSruj8KewL8KXi/snTgPDXRuaclchAb7cdc84dg5dyELfXsTu+IAzr7bk4Iy/YU5fYRht5jHyZvwWvr6PNfY4/lv7ZV6/43p8fEquM3Qp3473IsZwbNF7pe+sLpe0hiNVWgLi9ByKcxpUDyaHAE6HxuvIJy9TYhlIY8xiYLGITLp0KVSlurdpTH7Lr5n7wwLCV77K9ZvGY9/0JsertSMothMhEVHkZWWQdWAtYUeWIsbwbsEgUjo8wXsDWxPod/U3pT2vS2DRT+3ouOULGPgc+Do3vFMB2SchfRc7avakRhV/wgKvMMrsCupVC0YEDgc1IzxlceGgglIKCirP4Gy94A9FZIQx5hSAiEQAU4wx/VwX2tXTMuOVz8/mwy39BpBzY1++XbqC0ys+pk16Io2Pf4CPFOBvhGRTm1n0JyluNEN796Bl3bL3IYUF+rEjegQ3pjxLwbbZ+LYeVoFX4+GK1pNYUdDoqjuyAQL9bNQOC2SbTxwts2fByf1QzflHh+ra5WyiqHEuSQAYY05eskSpWzDGzAZmJyQkPGB1LN4m0M/GrTdej7mhG1tTTjPt0AkyTp0kIDCY+DrVGN2wGsH+FbOOQdPrbyNp6usELfuA6poonHfoF/Dx48fT0XRpcvWJAgqHyK7KjWUkFHZoa6LwCs7+y3WISH1jzCEAEWlACQsNKe8lIrSsG1501xDrkja6N6nNh7be/F/qFDi+F6pXVPV7D3dwBfY67Ujay1X3T5zToHowi7dHgm9gYaJopV2V3sDZ4bF/BpaJyGci8hmwBHBqzWylKpqfzYesFmMoMD7krvrY6nCuDfnZkLKeEzU6AFz1iKdzGlQP4dhZO/ZarXTkkxdxtsz4d0B7YCowDehgjFngysCUKkm/69rxo6M9ZsPn5Zr45zUOrwZHPvuCWwPlSRSFcy8yIlpDyobCmd7K4zlbPVaA/kD7on6AYBHp5NLIykBnZnuPFlFhLA69hcC8k7BDq8qWatcCsAWw2jTHRyhTZzZAg2qFxx0ObgoF2ZBm3bK5qvI4++jpHaALMKbofSYwwSURlYPOzPYeIkL9jgNJMjXIXvmR1eG4N2Ng5zxo2JMNR/OJi6xCkH/Z5svWL7qj2CaNCjcUzfRWns3ZRNHZGDMOyIHCUU8UTsZTyjKD29djiv1GgpKWFXZqq+Kl7SgcytpkAJuTM2hVjuHJ4UF+VA/xZ/2ZCAirC3vdruSbcgFnE0W+iNgoGukkIpGAw2VRKeWEOuFB7Ks3hDx8MSu0/tMVbfsWgMM1epCamUubes6XFy9O86gwth3NhPjesHeR9hF5AWcTxZvATKCmiLwILANecllUSjnppoTWzCy4Hsf6z+Gsa5dsvSbZC3CsnYRpeANzDxbOor6pWfmmQDWPCmPn0UzyG/aGvEw4vKoiIlVuzNlRT19QuEb2y8AR4DZjzFeuDEwpZ9zcqg7TAwZjs+fAmg+sDsetOByGTye9g09mCo/vS+CtH3eT0CCC6Iirqxp7qVZ1w8m3G7YFtgUfP9itAyA9XWnVY6udewGpwGTgS+BY0TalLBXkb6NPz578aG9H/or3IC/L6pDcxoz1ycQfmMxJv1pUaTWQtvWr8tqINuU+b7e4Gth8hDhRJgsAACAASURBVIV7s6FhL9gyAxz2cp9Xua/S7ijWAolF/z33c+IFP7sVHR7rncZ2bsCX/sPwyz2BY5VWlQUwxjD/p5/pattG1R4P89Kwtnxx/3VlnpF9oYgQf65rWI1PVxzgi9yucDqZxEXflj9o5bZKSxR3GmMaAs2MMbHGmIZFr9ii7W5Fh8d6p5AAX/oPuI0f7e0oWPJGYZVUL7fjaCY9M77B7uOPtL+rws//t0Et8LX58MqBODIJ5vDPH7ElWb+gearSEsV/i/77i6sDUao8hrWPZm7k/fjnnyZn0RtWh2O5RRv3MtS2lPymt0FIjQo/f+Naoaz+000k/m0Q/m1G0N+2io9/LMNqh+qaUFqiyBeRj4FoEXnz0ldlBKiUM3x8hPuH38o39m7YVr8LJ717+ZTgHdOpIjkEdn3YZW342nzw9/UhoPO9BJFHlV0zOXFWh8p6otISxUBgAZDNr/0UF76UchvNo8I43P6P5DmEE1//wepwLOOwO7j+5EySgptBdAfXNxjVlqwarRjt8wNLdqa6vj1V6UpMFMaYdGPMFOBWY8wnl74qKUalnHbfLd351H8U1ZJ+IG/bPKvDsUTyhu+Jk2SONL6j0toM7HwfzXwOs3/jokprU1UeZyfcZYvIjyKyBUBEWovIX1wYl1JlEuRvo83wZ9ntqEvWN08Ultf2Nqvf54SpQo3OoyutSZ/Ww8mRIJomf11pbarK42yi+IDC9SfyAYwxm4DK+79QqavQtUkUPzR8iqq5KaTPecHqcCrXqcPUPfYzs+QmYmpXr7x2A0LZW3sAvfKXkXEirfLaVZXC2UQRbIxZfck2LUSv3NaYkWOZKTcRsfE97AdXWh1O5Vn7MQbYVnc4hasDVJ6CtncRJHkcW/FlpbarXM/ZRJEuInH8WhRwOIWlPFxORJqJyLsiMl1E/q8y2lTXvqrB/vgN+BcpjuqcnXI/5J21OiTXK8jFsfYTfrK3o0HDZpXefGzrbuxy1KXKzumV3rZyLWcTxTjgPaCpiCQDvwNKHXcnIhNFJPVc38YF2/uLyE4R2SMiz5R0DmPMdmPMw8BIIMHJeJXilo6N+LTW04RlHyZrjhes3Lt1Fj5Z6Xxq70O7+hGV3nxYkD9Lgm4i6vQmOLGv0ttXruNsUcB9xpjeQCTQFOgFXO/EoZMoXBnvvKJy5ROAAUBzYIyINBeRViIy55JXzaJjbqWwYq0Wv1dOExHuGH07HzluIXjTJ5gNHvxIxOGA5eM5ERTDctOSNvWsqU6QUn8QDgQ2TbOkfeUapRUFDBORZ0XkbRHpA2QBvwH2UPgNv0TGmCXAiUs2dwL2FCWfPGAKMNgYs9kYM/CSV2rReb41xnQFxl79JSpv1qB6CNz0N1bYm2P/5nFIXmd1SK6x/RtI3ca0kDE0qhlOaKCfJWFEN2jESnszCjZMLlxZT3mE0u4oPgOaAJuBB4DvgREUlhkfXMY26wKHL3ifVLStWCLSq2gm+HvAFQfGi8iDIpIoIolpaTrqQv3q3h6NmdPkJY46wsj+ZBik77Y6pIqVdxZ+/DumRhPeS29D+wblW5ioPJpHhTHTcT2+pw7oMqkepLRE0dAYc7cx5j0K18tOAAYaY8pT1KW4oRhX/OphjFlkjHnMGPOQMeaK63QbY94HXgDW+fvrKq3qVyLCc6N78EH91ziTW8Dp9wZgP77f6rDKbfGuNL5ceZCCuU/Bif3s7/QCJ3McdIq1bgWAZnXCmG/vRL5PAGycYlkcqmKVWuvp3A/GGDuw3xiTWc42k4B6F7yPBlLKeU5Aq8eqKwvwtfHXuwczrdlb2POyyXznRrIOXbtF7D755QC/mbiKzDnP4rvxC/K6/p65mfEAdG8UaVlc4UF+VI2ozoaQbrB1hi6T6iFKSxRtROR00SsTaH3uZxE5XcY21wCNRCRWRPwpnLinxeyVy/nafBg3+jaWXP8J2QVgJg4gbdNCq8O6aqmnc/jX/K18VGMKD/nO5VN7X+7c25uPlu+nU0w1alQJsDS+FlFhfJ1/fWG5951zLY1FVYzSaj3ZjDFhRa9QY4zvBT+HlXZyEZkMrACaiEiSiNxnjCkAHqGw2OB2YJoxZmtFXIwuXKScMbhPbw4O+YYUqhM+YzT7fp5kdUhXZdLy/fyJidx0ZjZ0fQwZ8CqrDp7iVFY+j93UyOrwaF4nnK8yGuOIaAjLxmuntgcQ44F/iQkJCSYx0e0W4FNuZt+hJE5PGklbx1Z2NH6IpqP/BT7OTi2yRoHdwfgXn+BJx0To9jj0fgFE2JZyGh8faFq71O9vLvfzjlTumbSGH3oeIH7Vn+COryG+t9VhKSeIyFpjzGXz1dz7X8VV0jsKdTUa1o+mwe++56egfjTd9R673h6CI+eM1WGVaPPKhTxu/4RjdW48nySgcLSROyQJgA4xEYjAPFsvCK8P3z1Lbs5ZPPFLqbfwqEShndnqakWEVeH6P0xmdp1HiTu+mOT/9CTv+CGrwyre2ePE/DyOY1Kd8DEfnk8S7iYs0I/mdcJYvDcDBo2H9F189uKDdH/1Z/aluXciVsXzqEShVFn4+9kY+OA/+K71m4TnJJM3oSt569xswpjDTsH0+wnJP8nM+JcIDKvEyrBlMKhNFGsPnmTcqgg+L7iJ+21z6JS7gt9P3aB3Ftcgj0oU+uhJlZWIcMuwu/i5x1R2FtTG/9uHKZh4M+z9GeNwcDbXwmLJxsD8p/Hd/xPPF/yGbj3c/3n/8A7R1Kjiz9zNR1jV+ClMVHte8ZnAmeRtLNqpE2KvNdqZrdQlvll/iHVfv8E432+oyQm2moa8kz+QgzVv4o0xHWhcK9Sl7R87nUPKqWya1Qkj0JEN3z0N6z9nZtAQ3gu4l/mPd6/0EuJlcTQjh53HMukeXwOfzGTMez05kBXAGzHv8tbdPawOTxXjSp3ZmiiUKsbq/Sf4bNlO2h6fz+DsGdTIPcwhavOObSx/ePwpaoYFVXibxhhe+W4nHy/ZQXfZxDD/lfS2rcPXnkNyy4fpntiNvw1qyd3dYiu87Uqxfynmk0FMsvdnxF8+p0qAr9URqUt4RaIQkUHAoPj4+Ad27/awej7KOg477JxH7sJ/EnBiBwcCmxEz+nWI6QZAVl4Bf5m1hVX7TnB75/r8tldcsd/40zJzyczJp2FklWKbeeenHaT/+Da/C5pLWMEJMn3C+DavI8tC+7MqL5aQABsLf9+TQD+bSy/XlY5NHkeNHV/wy43T6d7T/R+heRuvSBTn6B2FcgmHne8n/5dWu96ijpyARn0xDXsxcWMOPx0qILhWQxYeCebV4a0ZmVDvokPnbT7C76ZsIM/uYGzn+vzztpYXJZPDOxI5OflBWsteTGxPpMs4TMMbWLjzBON/2E2gnw+vDGtNIxc/9nI1e9ZJTr3ahlNB9Yn741K3HbnlrTRRKFUBcgvs3Db+B27Lnc0D/gvwOZt60ecptrp85biBBx5/juCqtQA4fCKLEePnMSjiEE3C8vlhbxa39OjMoO6dIfsEJvFj7Cvf4zRB2Aa+TniHkR79C3T6e/9g+JHXKBg2Cd9WQ6wOR11AE4VSFWTNgROMfn8lEcH+OM6kMaKpP8/0qoUc20rmummEHkvELn7YmvaHoAgOb1tFVPYubFL8vzWDD18VdMen7wsM79Gukq+m8i3ckkL0tL7EhkHg79aCr7W1qdSvvCJRaB+Fqizfbz3KB0v30Sa6Kk/1b0KA76/9Bs++O43Wx2YwKmwLjtws1mTVoqBeF7r3HQ5hUaSnp/OPL+bTtsppBnSI597FwQTXimPaQ13w8fHcO4lzcvLtjPv763xkexH6/L2wFIlyC16RKM7ROwplpfWHTjLknV+4t1ssW1Iy2HHkNEv+eANVg39dJ+WbDck8PqWwzHlYoC/fPnI9MTVCrAq50j30WSJ37f8jXf12I4+th5AaVoekuHKi0PFpSlWwdvUjGN4hmonLCxdH+vfw1hclCYDBbesSEexP4sGTDGtft3DJVi/Sp3ltnts2mh/MM/DzSzDwDatDUiXQRKGUC7w0pBWdYqtROyyQHo2LX0ioR+PIK37m6fo0r8WfbfVYWe02uqz9GJrfCg17WR2WugKPKuGhlLvw9/VhZEI9r00EpQkP8mNg6ygeSx1IQbXGMPUuSPLux8U5+XbeWbSHdxfvJa/AYXU4F/GoRKG1npS6djx2UzynHIE8ZvsT2b6hFHzUn4nj/8rgt5byyS8HvK544JNfbeTV73byr/k7+Nu3W6wO5yIelSi0zLhS144G1UN4dXhrFib70eX4X1lub8a9p97k2cx/8vq3q3jrpz1Wh1hpVuw9zpxNR/h978bcd30sU9YcZq8blWT3qEShlLq2DGkXzbKnb+R/D/ShzdMLoe+LdC5Yy9zwf/Ppj+vYn37W6hArxYdL91Gjij8P9YjloZ4NEWDW+mSrwzpPE4VSylK1wgLpEledqiGB0PURZMwUogsO8a7f63y8dJfV4blcamYOa3Ye4LPw9wn8V21qTh7AsPrZzN18xOrQztNEoZRyL416I7e9Q4LsJHbD627XsVvRFmxO4W3f/9L05E/QdgycOsRzGX8lLS2Noxk5VocHaKJQSrmjVsNJir+de2Q225d/Y3U0LpWzahI9bJuRm1+DW9+CMVOoknOEcb7f8MvedKvDAzRRKKXcVI2h/2avqUvM0ich68RFn6WfyeWbDcnX/N1GekYmt5z6jKTQNtDh7sKN9TpiWo3gLtv37Nh/2NL4ztFEoZRyS4HBVfiqwXOEFJzEMecP59cwz8jK5+b/LuXxKRsY9+U6i6Msnz0LPyRKTmB6PHlRxWCfLuMIllyq75tlYXS/8qhEofMolPIszdp354384fhsmwnLx4Mx/G/xXtLP5NK9UQ0WbjvGluRr9N+7MdTbMZFdPnFEdxh48WdRbUkLiqVt5mLy7dbfNXlUotB5FEp5ll6Na/KBuZUd1fvAD89j/+RW/FZP4IG4DN4e3QY/mzB7Y4rVYZbJmb2rqFtwiD0NRiE+l/8qTq/fnwTZQdLhA5Uf3CU8KlEopTxLeLAf7RpU5wn7I9DvJbLT9vOE+ZRnk/6P8Ek9GR51gsW70qwOs0zSln9MtvGnTtfRxX7u2/w2bGI4u9H6znxNFEopt3ZT05psPXqWlGb3cm/oBwwLmohj8DuQm8nzJ58h/9gOTp7Nu+y43AK7+3Z2F+RR6+AcfvbpTJu4+sXuUrdpBw44ahFy8IdKDu5ymiiUUm6tb4vaAPx99jZWHzhBn+va4tNuLNwzH/H15yO/19hx4OJZzIeOZ3Hja4vp+5/FHMnItiLsEuXvXUKw4wzH6t1yxcWqggP82ODXhjqn1oG9oJIjvJgmCqWUW4utEUKf5rX4butRQgN8GdEhuvCDiAbkDvuUepJKtaV/ueiYt37aTfKpbA4cz+L9JfssiLpkaYkzyDIBNEi4ucT9UiI6EujIgiMbKymy4mmiUEq5vX8Pb82jN8bz2f2dqV7l1zW2Qxtdz6d+w2lydA5sLRxKmpNv59uNKdzeuT6D2kTx9dokCtxg5NB5xhByYCHLaU2XptEl7poX3RUAx/4llRHZFWmiUEq5varB/jzRtwlt61W97LPEBg+w3acRfPsoJK9l3cGT5BY46NOsFv1a1OJ0TgFbUk5bEHXxzJENhOenklSzF0H+thL3jarbgJ2OaHJ3/1xJ0RVPE4VS6prWPLo692Y9hiMgHD7sQ8OZtzDf/xl6/HgbNya/RxA5LN/jHqUwANISZ+EwQrU2g0rdN65mFVY5muGXkmhpP8U1kShEJERE1orIwNL3Vkp5kxZRYRyhOmv7zYSuj3KkoAoZgVHYQmsSvOq/zAx+me0H3agS6675rDWN6NyqSan7xtYIIdHRGN+Cs5C6tRKiK55LE4WITBSRVBHZcsn2/iKyU0T2iMgzTpzqaWCaa6JUSl3LWkQVTrDdeMJGTq/nGHXmSX5uOx7umgWjPqexYy9DD714vgTIObuOZTJ9bRLZefbKC/bUYWqc2UliQBdqhweWuntEsB+7/FsUvjm0ysXBXZmr7ygmAf0v3CAiNmACMABoDowRkeYi0kpE5lzyqikivYFtwDEXx6qUugZFhgZQMzSAbSmnWXfoJHl2B50bViv8sNlAVsU9xo2OFWQteev8MUcyshn2zi88+dVGnvhqQ6XF6tg5H4AzMX2c2l9ECKjRgBO2GnDYQxOFMWYJcOKSzZ2APcaYfcaYPGAKMNgYs9kYM/CSVypwA3AdcDvwgIgUG7OIPCgiiSKSmJZ2bc7UVEqVTYuoMDYnZ7By3wl8BBJiqp3/zHHdI3xn70jg4r+f/1b+4dL95BTYuaV1HeZtPsrWlMqpF5W9eTZ7HXWIbdrO6WMaRlZhvWnsuYniCuoCF9bOTSraVixjzJ+NMb8DvgQ+MMYUO87NGPO+MSbBGJMQGRlZoQErpdxb54bV2Z16hlnrk2lZN5ywQL/zn7WoG84f8x8gM6AWfDkCx4YpbFi/mpFxBbx0cwyBfj5MWV0J5bxzMghM/oWFjg50jq1W+v5FYmuEsCw3DjIOQ4Y1y6NakSiKm4Zoitl28Q7GTDLGzCnxxFo9Vimv1KNR4ZfDQyey6Fc0k/ucqsH+hFaN5PXa/4bw+vjMeoiv7Y/z4qE7Cf9vHF+ETSBx6w4cjlJ/DZXPzvnYTAEr/bsQHRHk9GExNUJIdBR1fB9e6aLgSmZFokgC6l3wPhqokPKPWj1WKe/UrE4owztEUzsskDGdLq+d1LJuGEvTguGhxXzd+gMeyxvHmf5vQtdHaZu9mk/zfs/u9YsrJJZ8u6P4pLN1Fmk+NXBEdUCk+LIdxWlYI4Ttpj4FtiA4vLpCYrxavha0uQZoJCKxQDIwmsL+h3ITkUHAoPj4+Io4nVLqGiEivDaiDcaYYn8Jt4wKZ8HWY2TmOZiaWo+sOnWocl13ALKajCD7o6HEzh0N4Z9DfO8yx3Hw+Fnu+GgVgb42Pr+/M7XCikY25ZzG7P2ROQU30TTq8kmDJYmpEUIBvhwLbU7dQx54RyEik4EVQBMRSRKR+4wxBcAjwAJgOzDNGFMhA4T1jkIp73alb+ot6xb+Tkg8cJJ1h05yffyv/Zih9VvxStSbHKQ25stRsKnsI/H/vWAnh09kszv1DBN+3vPrB9u/Rex5zM7vTLM6oVd1zioBvkSGBrDDrzkc3Qy5Z8ocX1m5etTTGGNMHWOMnzEm2hjzUdH2ecaYxsaYOGPMi66MQSmlziWKVxfspMBh6NGoxkWfX9emOUOy/kx27U4w4wGSJgziT//8B4+8N4+D6b/+Yl66O41/zNnG2oMnL2vj5Nk85m0+wgPdYxnWPprpa5PILbAXzt9Y/T6nQ+NYZxrRrE7YVccfWz2ElQWNwNghpfKXf70mZmY7SzuzlVLFiQwNoGNMBNuPnKZOeCCdG1a/6PN+LWqRawvh5er/ZHXsOEJS1/FSwWu8fWQMoW835fg7/Ul872G++PhtPl22m7EfrmTn0cyLzrFi33EcBm5uEs7gpkFk5dlZvf8EbP4KjmxkaY3R+NtsxEVWuer4Y2uEsPB0g8I3Fky8s6KPwmWMMbOB2QkJCQ9YHYtSyr3c370hx8/s4MEeDbFdsgZEzdBARibU47NVh/iMbtzaaghvdCsgY+9qVq1cQt2j+2gpibzrn489pDbPnh3Jf3+I5J07Es6fY8u2zXwU8AZtv1iHGAdLAmqSPbcpZK6C6I5MK+hOfM0C/GxX//08NjKEqYl+2KObYrNg5JNHJQrtzFZKXUm/FrUvGzp7ob8ObE5U1SCqBPhyx3UNsPkI1WO60L3bb5m/5Shnw/zowiZsi17m1bNvsnzXj5zc+yYRDVrDmg94ZPvf8fERpOtjEFydI0vmUy9zDzQbBANeYdv4DfRsXLY5Xk1qFfZrpEe0o9aheeBwQDHrbLuKRyUKvaNQSpVVoJ+NcTdc/iUzNNCPkQnnRvTXhvibOPLjBJove4WIz24CsYGxs8rehvSeLzOidzcAfj7dl4+W7WPz4H5k5hSQlplbpv4JKJx5DrDTvzm1cidD2g6o1bxM5yoLj0oUSinlcj42avd+lEEbGjLcbzl3twri55zG3LO0Cj+0bn1+t4QGEby72LDx8Clyi9buvtoRT+dEhgZQo4o/y3Pj6AFwaEWlJgqP6sxWSqnKICL0bB3P349dz/HOT/N1RmNqhQVe1FHdoUEEAIkHT7Ip6RTwa6XbsrTXtl5VFqQEQVhd2PtT+S/iKnhUotBRT0qpynJLqygcBuZsOsLS3elcHx950TyOiBB/4iJDWHPgBBsOnyIuMoTwIL8SzliyLnE1OHAimzOxfWHPj5CXVRGX4RSPShQ64U4pVVma1QkltkYIf/t2KxnZ+QxsXeeyfXo0jmTJrjSW7k6nbb2IcrXXs3Hh3I9ltuugIBv2Vd7yqB6VKJRSqrKIyPnO7/rVgrn+kkl8AH2b18ZhILfAwcA2lyeSqxFfM5TW0eGM3x2JCQyH7bPLdb6roZ3ZSilVRsPa1yUqPJAWdcOLnR9xXcNq/LZXHAeOn6Vno/Ivf/Bgj4Y88uV69sTdSKNt38CAVyDQ9U9QxBgXl9atRBfMo3hg9+7dVoejlFIVyhjDXRNXk3doHVPlGRjwKnR+qMLOLyJrjTEJl273qEdP2kehlPJkIsI/BrdkkyOWvf5NMGs+LJx852IelSiUUsrTxdQI4c+3NOOtMzch6btgz0KXt6mJQimlrjFjO9fndNwgUkx1kue+wjNfb2L4/35h/uYjLmlPE4VSSl1jRITXRyewIHQIdTPWsn/jElJOZfPo5PWs2Hu8wtvzqEShE+6UUt4iIsSfux/5Gw7/ML5ssYYFv+/B7Z3r06Ju2epJlcSjEoV2ZiulvIkEhuHT/k5sO+cS6sjk74NbEhZY9tnfV+JRiUIppbxO2zHgyIetM13WhCYKpZS6ltVqCdUawo65LmtCE4VSSl3LRKDJzbB/CeSddUkTmiiUUupaF3dD4eOnQ65ZJlUThVJKXevqXQc+vnBgqUtO71GJQofHKqW8UkAVqNMGDq9xyek9KlHo8FillNeq2wFS1oPDXuGn9qhEoZRSXiuqPeSfhfRdFX5qTRRKKeUJ6nWCpgNdckehCxcppZQnqB4Ho79wyan1jkIppVSJNFEopZQqkSYKpZRSJdJEoZRSqkSaKJRSSpVIE4VSSqkSaaJQSilVIk0USimlSiTGGKtjqHAikgYcLOPhNYD0CgznWqDX7B30mr1Dea65gTEm8tKNHpkoykNEEo0xCVbHUZn0mr2DXrN3cMU166MnpZRSJdJEoZRSqkSaKC73vtUBWECv2TvoNXuHCr9m7aNQSilVIr2jUEopVSJNFEoppUqkiaKIiPQXkZ0iskdEnrE6nsogIhNFJFVEtlgdS2UQkXoi8rOIbBeRrSLyuNUxuZqIBIrIahHZWHTNL1gdU2UREZuIrBeROVbHUllE5ICIbBaRDSKSWGHn1T6Kwv+hgF1AHyAJWAOMMcZsszQwFxORHsAZ4FNjTEur43E1EakD1DHGrBORUGAtcJsn/z2LiAAhxpgzIuIHLAMeN8astDg0lxORPwAJQJgxZqDV8VQGETkAJBhjKnSSod5RFOoE7DHG7DPG5AFTgMEWx+RyxpglwAmr46gsxpgjxph1RT9nAtuButZG5Vqm0Jmit35FL4//digi0cAtwIdWx+IJNFEUqgscvuB9Eh7+C8TbiUgM0A5YZW0krlf0CGYDkAosNMZ4/DUD44E/Ag6rA6lkBvheRNaKyIMVdVJNFIWkmG0e/63LW4lIFeBr4HfGmNNWx+Nqxhi7MaYtEA10EhGPfswoIgOBVGPMWqtjsUA3Y0x7YAAwrujxcrlpoiiUBNS74H00kGJRLMqFip7Tfw18YYyZYXU8lckYcwpYBPS3OBRX6wbcWvS8fgpwo4h8bm1IlcMYk1L031RgJoWP1ctNE0WhNUAjEYkVEX9gNPCtxTGpClbUsfsRsN0Y84bV8VQGEYkUkapFPwcBvYEd1kblWsaYZ40x0caYGAr/Lf9kjLnD4rBcTkRCigZpICIhQF+gQkY0aqIAjDEFwCPAAgo7OKcZY7ZaG5XrichkYAXQRESSROQ+q2NysW7AnRR+w9xQ9LrZ6qBcrA7ws4hsovAL0UJjjNcMF/UytYBlIrIRWA3MNcZ8VxEn1uGxSimlSqR3FEoppUqkiUIppVSJNFEopZQqkSYKpZRSJdJEoZRSqkSaKJTXuVLVXBHpIiIfWBXX1RCRu0Ukyuo4lHfQRKG80SSKn53cH6iQceeV4G7gqhKFiPi6JhTl6TRRKK9TQtXcm4Afir6tzxCR70Rkt4i8em4HEfmfiCReurZD0ToAL4jIuqL1AJoWba8mIrNEZJOIrBSR1kXbnxeRT0Tk+6Jjh4rIq0XHfldUagQR6SAii4uKvC0QkToiMpzC8tlfFE0aDCpuv6LjF4nISyKyGPD49TeUa2iiUAoQkRpAvjEmo2hTW2AU0AoYJSLnaoH92RiTALQGep77xV8kvagg2/+AJ4u2vQCsN8a0Bv4EfHrB/nEUlsIeDHwO/GyMaQVkA7cUJYu3gOHGmA7AROBFY8x0IBEYW1Tsr6C4/S5op6oxpqcx5vXy/Bkp76W3okoV6gt8f8H7H88lDRHZBjSgsBT9yKLyzb4UlsdoDmwqOuZckcG1wNCin68HhgEYY34SkeoiEl702XxjTL6IbAZs/PrYazMQAzQBWgILC8tUYQOOFBN7aftNdfpPQaliaKJQqtAA4MJCgbkX/GwHfEUklsI7hY7GmJMiMgkILOYYO7/+2yqphH0ugDHGISL55td6Oo6i4wXYaozpUkrspe13tpTjlSqRPnpSXq+oqmxrYEMpu4ZR+Es3Q0RqUZhcSrMEGFvUTi8KH085uwbGTiBSRLoUHe8nIi2KPsv8//buEAeBGAij8JsEi+MyILRNkQAAAKJJREFUOG7CRRCcAYXDchH0BrEWxRkgwRTRWoYmKyDZ9+kmHfennWYKLDvWSZN5otDstKm5G2AVEXfq/f5QvkzILKVcI2IARuAGXDq22wOnNr31AWx76yylvFrj+tCuqxbUn9tG6sutY0Q8gTXwaZ00mdNjNXsRsaP+mX7+dS3SPzIoJEkpexSSpJRBIUlKGRSSpJRBIUlKGRSSpJRBIUlKvQH++Hd74m4iPgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "FWHM = 0.01/1e-10 # Angstrom\n",
    "sigma = FWHM /2.3548\n",
    "        \n",
    "handle = lambda x: np.exp(-((x)/sigma)**2/2)\n",
    "y_conv = dyn_mag.conv_with_function(R_hom[1,:], dyn_mag._qz[1,:], handle)\n",
    "\n",
    "plt.figure()\n",
    "plt.semilogy(dyn_mag.qz[0,:], R_hom[1,:], label='{}'.format(dyn_mag.energy[1]))\n",
    "plt.semilogy(dyn_mag.qz[0,:], y_conv, label='{} convoluted'.format(dyn_mag.energy[1]))\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Energy- and $q_z$-scan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 54.602104 s\n"
     ]
    }
   ],
   "source": [
    "dyn_mag.energy = np.r_[690:730:0.1]*u.eV #  set the energy range\n",
    "dyn_mag.qz = np.r_[0.01:5:0.01]/u.nm # qz range\n",
    "\n",
    "R_hom, R_hom_phi = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_hom[0, :], label=np.round(dyn_mag.energy[0]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_hom[180, :], label=np.round(dyn_mag.energy[180]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_hom[-1, :], label=np.round(dyn_mag.energy[-1]))\n",
    "\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.legend()\n",
    "plt.title('Dynamical Magnetic X-ray')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(dyn_mag.qz[0, :].to('1/nm').magnitude, dyn_mag.energy.magnitude, np.log10(R_hom[:, :]))\n",
    "plt.title('Dynamical X-ray')\n",
    "plt.ylabel('Energy [eV]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Polarization dependence\n",
    "\n",
    "The `XrayDynMag` allows to set the incoming and outgoing polarization of the X-rays."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: unpolarized\n",
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.276768 s\n",
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: sigma\n",
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.161199 s\n",
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: pi\n",
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.183024 s\n"
     ]
    },
    {
     "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": [
    "dyn_mag.energy = np.r_[710]*u.eV #  set two photon energies\n",
    "dyn_mag.qz = np.r_[0.01:5:0.01]/u.nm #  qz range\n",
    "\n",
    "plt.figure()\n",
    "dyn_mag.set_polarization(3, 0)\n",
    "R_hom, R_hom_phi = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation\n",
    "plt.semilogy(dyn_mag.qz[0, :], R_hom[0, :], label='{}: sigma -> unpolarized'.format(dyn_mag.energy[0]), alpha=0.5)\n",
    "\n",
    "dyn_mag.set_polarization(3, 3)\n",
    "R_hom, R_hom_phi = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation\n",
    "plt.semilogy(dyn_mag.qz[0, :], R_hom[0, :], label='{}: sigma -> sigma'.format(dyn_mag.energy[0]), alpha=0.5)\n",
    "\n",
    "dyn_mag.set_polarization(3, 4)\n",
    "R_hom, R_hom_phi = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation\n",
    "plt.semilogy(dyn_mag.qz[0, :], R_hom[0, :], label='{}: sigma -> pi'.format(dyn_mag.energy[0]), alpha=0.5)\n",
    "\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.title('Dynamical X-ray Polarization Dependence')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inhomogeneous dynamical magnetic X-ray scattering\n",
    "\n",
    "The `inhomogeneous_reflectivity()` method allows to calculate the transient magnetic X-ray reflectivity according to a `strain_map` and/or `magnetization_map`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: unpolarized\n"
     ]
    }
   ],
   "source": [
    "dyn_mag.energy = np.r_[708]*u.eV #  set the energy range\n",
    "dyn_mag.qz = np.r_[0.01:5:0.01]/u.nm # qz range\n",
    "dyn_mag.set_polarization(3, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogeneous_reflectivity_ ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "40d357434be4448987414bff7b1331d5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='Progress', max=210.0, style=ProgressStyle(description_wid…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _inhomogeneous_reflectivity_: 155.363571 s\n"
     ]
    }
   ],
   "source": [
    "R_seq, R_seq_phi = dyn_mag.inhomogeneous_reflectivity(strain_map = strain_map,\n",
    "                                                      magnetization_map=magnetization_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq[0, 0, :], label=np.round(delays[0]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq[40, 0, :], label=np.round(delays[40]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq[-1, 0, :], label=np.round(delays[-1]))\n",
    "\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.legend()\n",
    "plt.title('Dynamical Magnetic X-ray')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(dyn_mag.qz[0, :].to('1/nm').magnitude,\n",
    "               delays.to('ps').magnitude, np.log10(R_seq[:, 0, :]))\n",
    "\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parallel dynamical Xray scattering\n",
    "\n",
    "Parallelization needs still to be implemented, but will work similarly as with XrayDyn.\n",
    "\n",
    "You need to install the `udkm1Dsim` with the `parallel` option which essentially add the Dask package to the requirements:\n",
    "\n",
    "```\n",
    "> pip install udkm1Dsim[parallel]\n",
    "```\n",
    "\n",
    "You can also install/add Dask manually, e.g. via pip:\n",
    "\n",
    "```\n",
    "> pip install dask\n",
    "```\n",
    "\n",
    "Please refer to the [Dask documentation](https://docs.dask.org/en/latest/) for more details on parallel computing in Python.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogeneous_reflectivity_ ...\n",
      "Elapsed time for _inhomogeneous_reflectivity_: 135.969353 s\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    from dask.distributed import Client\n",
    "    client = Client()\n",
    "    R_seq_par, R_seq_phi_par = dyn_mag.inhomogeneous_reflectivity(strain_map=strain_map,\n",
    "                                                                  magnetization_map=magnetization_map,\n",
    "                                                                  calc_type='parallel', dask_client=client)\n",
    "    client.close()\n",
    "except:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq_par[0, 0, :], label=np.round(delays[0]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq_par[40, 0, :], label=np.round(delays[40]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq_par[-1, 0, :], label=np.round(delays[-1]))\n",
    "\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.legend()\n",
    "plt.title('Parallel Dynamical Magnetic X-ray')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(dyn_mag.qz[0, :].to('1/nm').magnitude,\n",
    "               delays.to('ps').magnitude, np.log10(R_seq_par[:, 0, :]))\n",
    "\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.7.7"
  },
  "toc-autonumbering": true
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
