{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Phonons\n",
    "\n",
    "In this example coherent acoustic phonon dynamics are calculated according to the results of the `heat` simulations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "Do all necessary imports and settings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "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",
    "Refer to the [structure-example](structure.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "O = ud.Atom('O')\n",
    "Ti = ud.Atom('Ti')\n",
    "Sr = ud.Atom('Sr')\n",
    "Ru = ud.Atom('Ru')\n",
    "Pb = ud.Atom('Pb')\n",
    "Zr = ud.Atom('Zr')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# c-axis lattice constants of the two layers\n",
    "c_STO_sub = 3.905*u.angstrom\n",
    "c_SRO = 3.94897*u.angstrom\n",
    "# sound velocities [nm/ps] of the two layers\n",
    "sv_SRO = 6.312*u.nm/u.ps\n",
    "sv_STO = 7.800*u.nm/u.ps\n",
    "\n",
    "# SRO layer\n",
    "prop_SRO = {}\n",
    "prop_SRO['a_axis'] = c_STO_sub  # aAxis\n",
    "prop_SRO['b_axis'] = c_STO_sub  # bAxis\n",
    "prop_SRO['deb_Wal_Fac'] = 0  # Debye-Waller factor\n",
    "prop_SRO['sound_vel'] = sv_SRO  # sound velocity\n",
    "prop_SRO['opt_ref_index'] = 2.44+4.32j\n",
    "prop_SRO['therm_cond'] = 5.72*u.W/(u.m *u.K)  # heat conductivity\n",
    "prop_SRO['lin_therm_exp'] = 1.03e-5  # linear thermal expansion\n",
    "prop_SRO['heat_capacity'] = '455.2 + 0.112*T - 2.1935e6/T**2'  # heat capacity [J/kg K]\n",
    "\n",
    "SRO = ud.UnitCell('SRO', 'Strontium Ruthenate', c_SRO, **prop_SRO)\n",
    "SRO.add_atom(O, 0)\n",
    "SRO.add_atom(Sr, 0)\n",
    "SRO.add_atom(O, 0.5)\n",
    "SRO.add_atom(O, 0.5)\n",
    "SRO.add_atom(Ru, 0.5)\n",
    "\n",
    "# STO substrate\n",
    "prop_STO_sub = {}\n",
    "prop_STO_sub['a_axis'] = c_STO_sub  # aAxis\n",
    "prop_STO_sub['b_axis'] = c_STO_sub  # bAxis\n",
    "prop_STO_sub['deb_Wal_Fac'] = 0  # Debye-Waller factor\n",
    "prop_STO_sub['sound_vel'] = sv_STO  # sound velocity\n",
    "prop_STO_sub['opt_ref_index'] = 2.1+0j\n",
    "prop_STO_sub['therm_cond'] = 12*u.W/(u.m *u.K)  # heat conductivity\n",
    "prop_STO_sub['lin_therm_exp'] = 1e-5  # linear thermal expansion\n",
    "prop_STO_sub['heat_capacity'] = '733.73 + 0.0248*T - 6.531e6/T**2'  # heat capacity [J/kg K]\n",
    "\n",
    "STO_sub = ud.UnitCell('STOsub', 'Strontium Titanate Substrate', c_STO_sub, **prop_STO_sub)\n",
    "STO_sub.add_atom(O, 0)\n",
    "STO_sub.add_atom(Sr, 0)\n",
    "STO_sub.add_atom(O, 0.5)\n",
    "STO_sub.add_atom(O, 0.5)\n",
    "STO_sub.add_atom(Ti, 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "S = ud.Structure('Single Layer')\n",
    "S.add_sub_structure(SRO, 100)  # add 100 layers of SRO to sample\n",
    "S.add_sub_structure(STO_sub, 2000)  # add 1000 layers of STO substrate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heat\n",
    "\n",
    "Refer to the [heat-example](heat.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = ud.Heat(S, True)\n",
    "\n",
    "h.save_data = False\n",
    "h.disp_messages = True\n",
    "\n",
    "h.excitation = {'fluence': [5]*u.mJ/u.cm**2,\n",
    "                'delay_pump':  [0]*u.ps,\n",
    "                'pulse_width':  [0]*u.ps,\n",
    "                'multilayer_absorption': True,\n",
    "                'wavelength': 800*u.nm,\n",
    "                'theta': 45*u.deg}\n",
    "\n",
    "# temporal and spatial grid\n",
    "delays = np.r_[-10:90:0.1]*u.ps\n",
    "_, _, distances = S.get_distances_of_layers()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Surface incidence fluence scaled by factor 0.7071 due to incidence angle theta=45.00 deg\n",
      "Absorption profile is calculated by multilayer formalism.\n",
      "Total reflectivity of 56.1 % and transmission of 5.7 %.\n",
      "Elapsed time for _temperature_after_delta_excitation_: 0.035158 s\n",
      "Elapsed time for _temp_map_: 0.151020 s\n"
     ]
    }
   ],
   "source": [
    "temp_map, delta_temp_map = h.get_temp_map(delays, 300*u.K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WFu3Tksr2Imm2pCWSlmzatOn58v3crGdmVjd6PCp5RPwMOLm7/SSdDWyMiKXtNn0LOByYDqwHvlw4pKPLdXD9qyJiRkTMGDdu3PPlzyenZ52czMxqXbf3nCT9v0Vvm4AZlDZ80YnAmyWdBQwBRkm6NiLOLTr3d4Bb0tsW4KCi4ycD60q4DgCDBjQxdGCza05mZnWglJrTm4qW04FnyO4PdSki5kTE5IiYQtbR4dcRca6kiUW7vRVYntYXALMkDZZ0KDAVWFzyJyGrPTk5mZnVvlK6kl8dEXcWF0g6EdjYy2t+UdJ0strXGrIhkYiIFZLmAw8Ae4CLS+2pV+AhjMzM6kMpyelrwLEllHUqIhYBi9L6eV3sNxeYW+p523PNycysPnSanCS9EngVME7SR4o2jQJyOXjdfkMH8vhTz1U7DDMz66Ou7jkNAkaQJbCRRctW4O2VD63nRg0d6IdwzczqQKc1pzQyxG8l/SAi/tqPMfXafk5OZmZ1oZR7Ts9K+g+yYYWGFAojottnnfrbqCEDeWbnHlrbguamjh6bMjOzWlBKV/LrgIeAQ8kGgV0D3F3BmHrN4+uZmdWHUpLTARHxXWB3RPw2It4DnFDhuHpl/zSn01NOTmZmNa2U5FT4Tb9e0hslHUM2ekPujB4+CIAntu+qciRmZtYXpdxz+qyk/YB/IXu+aRTw4YpG1UtjhmXJ6UknJzOzmtZlckoTBU6NiFuAp4HX90tUvTTGNSczs7rQZbNeGj4oV9Oxd+WAEVly2uLkZGZW00pp1vuDpK8DPwa2Fwoj4p6KRdVLQwc2M3hAE08+6+RkZlbLSklOr0qv/15UFpQwp1N/k8QBwwexZZuTk5lZLes2OUVEru8ztTdmxCCe2L6z2mGYmVkfdNuVXNIESd+V9Mv0fpqkCysfWu+MHjaIJzwbrplZTSvlOacfALcCB6b3fwEuqVA8fXbAcNeczMxqXSnJaWxEzAfaACJiD9CjSQD70+jhg3jC95zMzGpaKclpu6QDyDpBIOkEsmeecumA4YPYvquV53bnNn+amVk3Sumt9xFgAXC4pDuBceR0PieAMcMHA/Dks7uYuN/QKkdjZma9UUpvvXskvQ44EhCwMiJy2+NgzPBs8Nct25yczMxqVbfJSdIQ4J+BV5M17f1O0rcjIpfzoRdqTh7CyMysdpXSrPffwDNkg74CvBO4BjinUkH1hcfXMzOrfaUkpyMj4uii97+RdG+lAuqrcSOymtPmbe5ObmZWq0rprffn1EMPAEmvAO6sXEh9M2roAAYPaGLD1ly2OpqZWQlKqTm9Ani3pMfS+4OBByXdD0REvLxi0fWCJCaMGsKGra45mZnVqlKS0xkVj6LMJowazMZnXHMyM6tVpXQl/6uk0cBBxfvnccqMgvGjhvDguq3VDsPMzHqplK7knwEuAB4hjRJBTqfMKBg/cjCLfM/JzKxmldKs9/fA4RFRM32zJ4wawvZdrWzbuYcRg0v5iGZmliel9NZbDuzf2wtIapb0Z0m3pPdjJN0m6eH0Orpo3zmSVklaKen03l5zwqisO7l77JmZ1aZSktPnyLqT3yppQWHpwTU+BDxY9P5S4I6ImArckd4jaRowCziKrBPGNyU19+A6z5swcggAG91jz8ysJpXS5jUP+AJwP2najFJJmgy8EZhLNoAswEzgpKJzLwI+nsqvj4idwGpJq4DjgT/25JoA41PNyT32zMxqUynJaXNEfLWX578S+BgwsqhsQkSsB4iI9ZLGp/JJwJ+K9mtJZXuRNBuYDXDwwQd3eNHxo7Kak5v1zMxqUynNekslfU7SKyUdW1i6O0jS2cDGiFhaYizqoCz2KYi4KiJmRMSMcePGdXiikYMHMHRgsx/ENTOrUaXUnI5JrycUlZXSlfxE4M2SzgKGAKMkXQtskDQx1ZomAhvT/i1kz1IVTAbWlRDfPiTxov2G8LenXXMyM6tF3dacIuL1HSzdPuMUEXMiYnJETCHr6PDriDiXbOLC89Nu5wM3p/UFwCxJgyUdCkwFFvfiMwEwefRQWp7a0dvDzcysirpNTpImSPqupF+m99MkXdiHa34eeIOkh4E3pPdExApgPvAA8Cvg4ojo9Vzrk0cP5fEnn+1DmGZmVi2l3HP6AXArcGB6/xfgkp5cJCIWRcTZaX1LRJwSEVPT6xNF+82NiMMj4siI+GVPrtHe5NHD2LxtFzt29Tq/mZlZlXSanCQV7keNjYj5pG7kEbEHyP1v/MmjsynaH3/KtSczs1rTVc2pcL9nu6QDSD3n0txOT1c6sL4qJKe1T/q+k5lZremqt16ha/dHyDorHC7pTmAc8PZKB9ZXk0cPA+BxJyczs5rTVXIaJ6kwqsNNwC/IEtZO4FTgvgrH1ifjRgxmUHMTLU5OZmY1p6vk1AyMYN+HY4dVLpzyaWoSB+4/hLXusWdmVnO6Sk7rI+Lf+y2SCjjkgOGs2by92mGYmVkPddUhoqPhhGrKYeOGs3rzdiL2GQXJzMxyrKvkdEq/RVEhh40bwbO7WvmbB4A1M6spnSan4odja9XhY4cD8MhGN+2ZmdWSUkaIqFmHjRsBwKObt1U5EjMz64m6Tk4TRg1m+KBmHt3kmpOZWS2p6+QkiUPHDeeRTa45mZnVkrpOTgBHThjFg+ufqXYYZmbWA3WfnI46cBSbt+1ko3vsmZnVjIZITgAr1m+tciRmZlaquk9OL03J6YF1Tk5mZrWi7pPTqCEDOXjMMCcnM7MaUvfJCeD/mbQf97Y8Ve0wzMysRA2RnP7ukNG0PLmDdU95+gwzs1rQEMnp+EPHAHD3mpofkcnMrCE0RHJ66cRRjBg8gMWrnZzMzGpBQySn5ibxd4eM5k+Pbql2KGZmVoKGSE4Ar5k6lkc2beexLZ4Z18ws7xomOZ027UUALHzgb1WOxMzMutMwyengA4bxkheNZOEDG6odipmZdaNhkhPA6Ue9iLvXPEHLk27aMzPLs4ZKTufMmAzAj+9eW+VIzMysKw2VnCaPHsbrjxzPD+96jG0791Q7HDMz60TFkpOkIZIWS7pX0gpJl6fyyyQ9LmlZWs4qOmaOpFWSVko6vRJxfeDkF7Nl+y6u/t2jlTi9mZmVwYAKnnsncHJEbJM0EPi9pF+mbVdExJeKd5Y0DZgFHAUcCNwu6YiIaC1nUMccPJo3vnwi3/jNKk5+yXhePnn/cp7ezMzKoGI1p8gU5kcfmJbo4pCZwPURsTMiVgOrgOMrEdtnZ76McSMGc953F/PL+9eza09bJS5jZma9VNF7TpKaJS0DNgK3RcRdadP7Jd0n6XuSRqeySUBxT4WWVNb+nLMlLZG0ZNOmTb2Ka/TwQVw/+5WMHzmYf7ruHj4yf1mvzmNmZpVR0eQUEa0RMR2YDBwv6WXAt4DDgenAeuDLaXd1dIoOznlVRMyIiBnjxo3rdWwHHzCMX37oNYwZPoiNz+zs9XnMzKz8+qW3XkQ8BSwCzoiIDSlptQHf4YWmuxbgoKLDJgPrKhnXgOYmjpgwouvGRjMz63eV7K03TtL+aX0ocCrwkKSJRbu9FVie1hcAsyQNlnQoMBVYXKn4CpokwtnJzCxXKtlbbyIwT1IzWRKcHxG3SLpG0nSy+soa4CKAiFghaT7wALAHuLjcPfU6IkGbc5OZWa5ULDlFxH3AMR2Un9fFMXOBuZWKqSNCRDg7mZnlSUONENERybeczMzyxslJwhUnM7N8cXICN+uZmeWMk5Ob9czMcsfJCdysZ2aWMw2fnPyck5lZ/jR8cpKgzeO+mpnlSsMnJ5DrTWZmOdPwyUlybz0zs7xp+OTU1NFY6GZmVlUNn5yy4YuqHYWZmRVzchK0OTuZmeWKk5MfwjUzyx0nJ49KbmaWO05OrjmZmeWOk5NHJTczyx0nJ/yck5lZ3jg5uVnPzCx3Gj45NblZz8wsdxo+OQk/52RmljcNn5yQ53MyM8ubhk9OwoPrmZnlTcMnpyaPSm5mljsNn5yysfWqHYWZmRVzcsLTtJuZ5Y2TkztEmJnljpOTPE27mVneODm5Q4SZWe5ULDlJGiJpsaR7Ja2QdHkqHyPpNkkPp9fRRcfMkbRK0kpJp1cqtr3ixM16ZmZ5U8ma007g5Ig4GpgOnCHpBOBS4I6ImArckd4jaRowCzgKOAP4pqTmCsZHdl2PrWdmljcDKnXiyNrKtqW3A9MSwEzgpFQ+D1gEfDyVXx8RO4HVklYBxwN/rFSMkI2t9/SO3bztW3+o5GXMzKwHKpacAFLNZynwYuAbEXGXpAkRsR4gItZLGp92nwT8qejwllTW/pyzgdkABx98cJ9jPP2oF7F683Y37ZmZ5UhFk1NEtALTJe0P3CTpZV3s3tE4QvukjIi4CrgKYMaMGX1OKSe+eCwnvnhsX09jZmY9dN37Ot/WL731IuIpsua7M4ANkiYCpNeNabcW4KCiwyYD6/ojPjMzy5dK9tYbl2pMSBoKnAo8BCwAzk+7nQ/cnNYXALMkDZZ0KDAVWFyp+MzMLL8q2aw3EZiX7js1AfMj4hZJfwTmS7oQeAw4ByAiVkiaDzwA7AEuTs2CZmbWYFTLD6DOmDEjlixZUu0wzMysFyQtjYgZHW1r+BEizMwsf5yczMwsd5yczMwsd5yczMwsd2q6Q4SkZ4CV1Y6jh8YCm6sdRA855v7hmPuHY+4fpcR8SESM62hDRUeI6AcrO+vpkVeSljjmynPM/cMx949GjNnNemZmljtOTmZmlju1npyuqnYAveCY+4dj7h+OuX80XMw13SHCzMzqU63XnMzMrA45OZmZWe7UbHKSdIaklZJWSbq02vEUSPqepI2SlheVjZF0m6SH0+voom1z0mdYKen0KsR7kKTfSHpQ0gpJH6qBmIdIWizp3hTz5XmPuSiOZkl/lnRLLcQsaY2k+yUtk7SkRmLeX9INkh5KP9evzHPMko5M329h2SrpkjzHnGL4cPr/t1zSj9L/y/LFHBE1twDNwCPAYcAg4F5gWrXjSrG9FjgWWF5U9kXg0rR+KfCFtD4txT4YODR9puZ+jncicGxaHwn8JcWV55gFjEjrA4G7gBPyHHNR7B8BfgjckvefjRTHGmBsu7K8xzwPeG9aHwTsn/eYi2JvBv4GHJLnmIFJwGpgaHo/H7ignDFX5R+gDF/MK4Fbi97PAeZUO66ieKawd3JaCUxM6xPJHh7eJ27gVuCVVY79ZuANtRIzMAy4B3hF3mMmm935DuBkXkhOeY95Dfsmp9zGDIxKvzRVKzG3i/M04M68x0yWnNYCY8gGc7glxV62mGu1Wa/wxRS0pLK8mhAR6wHS6/hUnqvPIWkKcAxZTSTXMafmsWXARuC2iMh9zMCVwMeAtqKyvMccwEJJSyXNTmV5jvkwYBPw/dR8erWk4eQ75mKzgB+l9dzGHBGPA18imzB2PfB0RCykjDHXanJSB2W12Cc+N59D0gjgp8AlEbG1q107KOv3mCOiNSKmk9VGjpf0si52r3rMks4GNkbE0lIP6aCsGj8bJ0bEscCZwMWSXtvFvnmIeQBZs/q3IuIYYDtZ81Jn8hAzAJIGAW8GftLdrh2U9ffP82hgJlkT3YHAcEnndnVIB2VdxlyryakFOKjo/WRgXZViKcUGSRMB0uvGVJ6LzyFpIFliui4ibkzFuY65ICKeAhYBZ5DvmE8E3ixpDXA9cLKka8l3zETEuvS6EbgJOJ58x9wCtKSaNMANZMkqzzEXnAncExEb0vs8x3wqsDoiNkXEbuBG4FWUMeZaTU53A1MlHZr+2pgFLKhyTF1ZAJyf1s8nu69TKJ8labCkQ4GpwOL+DEySgO8CD0bEV4o25TnmcZL2T+tDyf6jPJTnmCNiTkRMjogpZD+vv46Ic/Mcs6ThkkYW1snuKSzPc8wR8TdgraQjU9EpwAPkOOYi7+SFJj3Id8yPASdIGpZ+h5wCPFjWmKt1468MN+TOIutZ9gjwiWrHUxTXj8jaYHeT/bVwIXAA2Y3wh9PrmKL9P5E+w0rgzCrE+2qy6vV9wLK0nJXzmF8O/DnFvBz4VCrPbczt4j+JFzpE5DZmsvs396ZlReH/WZ5jTjFMB5akn4+fAaNrIOZhwBZgv6KyvMd8OdkfhcuBa8h64pUtZg9fZGZmuVOrzXpmZlbHnJzMzCx3nJzMzCx3nJzMzCx3nJzMzCx3nJzMzCx3nJzM2pHUmqYuWKFsWo6PSGpK22ZI+moXx06R9K7+i3afa+9IYw6W43xD0/ewS9LYcpzTrFQDqh2AWQ7tiGzcPiSNJ5viYj/g0xGxhOwBz85MAd6VjqmGRwqx91VE7ACmpyGXzPqVa05mXYhsTLnZwPuVOUkvTBT4uqIJ4v6chvr5PPCaVPbhVJv5naR70vKqdOxJkhbphUnxrkvDwCDpOEl/SLW2xZJGplHY/0PS3ZLuk3RRd7Gnaz8o6TupFrgwDfdEuvYVkv437XOcpBuVTRL32Up9n2alcs3JrBsR8Whq1hvfbtNHgYsj4k5lo7o/RzYC9kcj4mwAScOAN0TEc5Kmkg1vNSMdfwxwFNkAmHcCJ0paDPwYeEdE3C1pFLCDbBispyPiOEmDgTslLYyI1d2EPxV4Z0S8T9J84G3AtWnbroh4rbLZj28G/g54AnhE0hURsaUXX5dZWTg5mZWmoyH/7wS+Iuk64MaIaEmVn2IDga9Lmg60AkcUbVscES0A6T7RFOBpYH1E3A0QafoSSacBL5f09nTsfmSJp7vktDoilqX1pekaBYXBku8HVkSah0fSo2QjSDs5WdU4OZl1Q9JhZIllI/DSQnlEfF7S/5ANlPsnSad2cPiHgQ3A0WTN6M8VbdtZtN5K9v9RdDzPjYAPRMStPQy//TWGdrCtrd1+bfh3g1WZ7zmZdUHSOODbwNej3SjJkg6PiPsj4gtknSReAjwDjCzabT+ymlAbcB7Q3M0lHwIOlHRcusZISQPIprX+J2VzbyHpiDSNhVld8l9HZvsamprZBgJ7yKYD+EoH+10i6fVkNZIHgF+S1Tr2SLoX+AHwTeCnks4BfkM2M2unImKXpHcAX0udF3aQzVd1NVmT3D2p48Qm4C19+pRmOeYpM8zqhKQpZPNEdTVlfW/OuwaYERGby3les664Wc+sfrQC+5X7IVyyGmRbOc5pVirXnMzMLHdcczIzs9xxcjIzs9xxcjIzs9xxcjIzs9xxcjIzs9xxcjIzs9xxcjIzs9xxcjIzs9xxcjIzs9xxcjIzs9xxcrJekbStaGmTtKPo/T9UO77ekLSmkzmZKnW9yySFpA+2K78klV/WX7GY5Y2Tk/VKRIwoLMBjwJuKyq6rdnztpTmR8niNvwDntyt7dyo3a1hOTlZWkpokXSrpEUlbJM2XNCZtm5JqBP8oaa2kJyX9H0nHSbpP0lOSvl50rgsk3Snpa5KelvSQpFOKtu8n6buS1kt6XNJnJTW3O/YKSU8Al0k6XNKvU1ybJV0naf+0/zXAwcDPU+3vY5JOktTS7vM9X7tKNZ8bJF0raStwQVcxdeJuYJiko9I5jyKbrfbuomuOlnSLpE3pO7tF0uSi7YskfU7S4vQ93Vz4zs1qlZOTldsHySbBex1wIPAk8I12+7wCmAq8A7gS+ATZhHpHAX8v6XXt9n0UGAt8Grix6BfvPLLJAF8MHAOcBry3g2PHA3PJpjr/XIrrpcBBwGUAEXEee9cAv1ji550J3ADsD1xXQkwduYastgRZLeq/221vAr4PHEKWQHcAX2+3z7uB96TPtgf4aonxm+WSk5OV20XAJyKiJSJ2kv3yf3u7Jq/PRMRzEbGQbGbYH0XExoh4HPgd2S/1go3AlRGxOyJ+DKwE3ihpAnAmcElEbI+IjcAVwKyiY9dFxNciYk9E7IiIVRFxW0TsjIhNZLPbFifC3vhjRPwsTcM+qoSYOnIt8M40Bfus9P55EbElIn4aEc9GxDNkibZ93NdExPKI2A78f2RJvrsp4c1yy9O0W7kdAtwkqXhyulZgQtH7DUXrOzp4P6Lo/eOx96RjfyWrHRxCNgne+mzWciD7Y2tt0b7F60gaT1ajeA0wMu3/ZEmfqnPF1yglpn1ExGOSVgH/F3g4ItYWHY+kYWRJ7gxgdCoeKak5Ilo7iOOvKY6x7P3dmtUM15ys3NYCZ0bE/kXLkFQr6o1JKv5NnTVrrUvX2QmMLbrOqIg4qmjf9jNpfi6VvTwiRgHnkjX1dbb/dmBY4U2qiYxrt0/xMaXE1Jn/Bv6FfZv0SOVHAq9Icb+2EFLRPgcVrR8M7AY8rbrVLCcnK7dvA3MlHQIgaZykmX0433jgg5IGSjqH7F7RLyJiPbAQ+LKkUakjxuHt7le1NxLYBjwlaRLwr+22bwAOK3r/F2CIpDemJrdPAoM7O3kvYyr4Mdn9qfmdxL0jxT2G7N5be+dKmpZqWf8O3FBUqzKrOU5OVm7/CSwAFkp6BvgTWceE3rqLrPPEZrJ7LW+PiC1p27uBQcADZM1zNwATuzjX5cCxwNPA/wA3ttv+OeCTqdfgRyPiaeCfgauBx8lqUi10racxAZDuid0eETs62HwlWQ++zWTf56862Oca4AfA34AhZB1TzGqW9m7ON8sPSRcA742IV1c7ljyTtAi4NiKurnYsZuXimpOZmeWOk5OZmeWOm/XMzCx3XHMyM7PcqemHcA8Y0xRDJo7i6d1D2b27Ge0WaiVb2gpLQIACKK4lbuuoU5SZWXk8w5ObI6L9c3E9dvrrh8eWJ0p7KmDpfTtvjYgz+nrNPKjp5HTwQQN463Wv5ZfrprF+/WgGbBzI4CfEoK0wcHswcHvQvLONpl1tNO0O1Nr2fJLS75dVO3wzq2O3xw1/Lcd5Nj/Ryl23Tu5+R2DgxEfGluOaeVDTycnMrP4FrdHW/W51xsnJzCzHAmjbZ2St+ufkZGaWY0GwuwFHonJyMjPLOdeczMwsVwJodXIyM7O8cc3JzMxyJYDWBhzJx8nJzCznGq8juZOTmVmuBeF7TmZmli8RsLvxcpOTk5lZvolWVO0g+p2Tk5lZjgXQ5pqTmZnljWtOZmaWK9lDuE5OZmaWM23h5GRmZjnimpOZmeVOIHZHc7XD6HdN1biopA9LWiFpuaQfSRoiaYyk2yQ9nF5HVyM2M7M8KdScSllKIWmNpPslLZO0JJVdJunxVLZM0llF+8+RtErSSkmnV+ZT7qvfa06SJgEfBKZFxA5J84FZwDTgjoj4vKRLgUuBj/d3fGZm+SJao+z1iNdHxOZ2ZVdExJf2urI0jez381HAgcDtko6IqPwEU1WpOZElxaGSBgDDgHXATGBe2j4PeEt1QjMzy49sJtymkpYKmAlcHxE7I2I1sAo4vhIXaq/fk1NEPA58CXgMWA88HRELgQkRsT7tsx4Y39HxkmZLWiJpyeYtjTgcopk1mh40640t/H5My+wOThfAQklL221/v6T7JH2v6LbKJGBt0T4tqaziqtGsN5osGx8KPAX8RNK5pR4fEVcBVwEcc/SgBnxu2swaSUSPmvU2R8SMbvY5MSLWSRoP3CbpIeBbwGfIEtdngC8D74EOb2T1y+/dajTrnQqsjohNEbEbuBF4FbBB0kSA9LqxCrGZmeVOGyppKUVErEuvG4GbgOMjYkNEtEZEG/AdXmi6awEOKjp8MtltmIqrRnJ6DDhB0jBJAk4BHgQWAOenfc4Hbq5CbGZmuRKIXTGgpKU7koZLGllYB04DlhcqBslbgeVpfQEwS9JgSYcCU4HFZf2Anej3Zr2IuEvSDcA9wB7gz2TNdCOA+ZIuJEtg5/R3bGZmeVPoEFEmE4CbsnoBA4AfRsSvJF0jaXq63BrgIoCIWJF6VD9A9vv64v7oqVcIrt9FxKeBT7cr3klWizIzsyKtZRq+KCIeBY7uoPy8Lo6ZC8wtSwA94BEizMxyLBCtVXvqp3qcnMzMcq6t/A/h5p6Tk5lZjmXDFzk5mZlZjgQq2z2nWuLkZGaWYxGwu4Ru4vWm8T6xmVlNKf0B23ri5GRmlmMBlRiVPPecnMzMcs4dIszMLFcC0eYOEWZmljeuOZmZWa4EfgjXzMxy5/mJBBuKk5OZWY4FsDuaqx1Gv3NyMjPLsQi5Wc/MzPLHzzmZmVmuZJMN+p6TmZnlilxzMjOzfMm6krvmZGZmOeOHcM3MLFcCscddyc3MLE8i8GSDZmaWP77nZGZmuZKNSu57TmZmljMeW8/MzHLFXcnNzCyH3KxnZmY5EwG7nZzMzCxvXHMyM7NcyXrr+Z6TmZnljEclNzOzXGnU3nqN15BpZlZj2qKppKUUktZIul/SMklLUtkYSbdJeji9ji7af46kVZJWSjq9Qh9xH05OZmZ5Ftk9p1KWHnh9REyPiBnp/aXAHRExFbgjvUfSNGAWcBRwBvBNSf0yCq2Tk5lZjgWwJ5pKWvpgJjAvrc8D3lJUfn1E7IyI1cAq4Pi+XKhUTk5mZjlWuOdUYs1prKQlRcvsTk65UNLSou0TImI9QHodn8onAWuLjm1JZRXnDhFmZjnXgya7zUVNdZ05MSLWSRoP3CbpoS727ejCUWowfVGVmpOk/SXdIOkhSQ9KemVXN+TMzBpV4Tmnct1zioh16XUjcBNZM90GSRMB0uvGtHsLcFDR4ZOBdWX6aF2qVrPefwK/ioiXAEcDD9LJDTkzs0bXhkpauiNpuKSRhXXgNGA5sAA4P+12PnBzWl8AzJI0WNKhwFRgcZk/Xof6vVlP0ijgtcAFABGxC9glaSZwUtptHrAI+Hh/x2dmlitR1uecJgA3SYLs9/8PI+JXku4G5ku6EHgMOAcgIlZImg88AOwBLo6I1nIF05Vq3HM6DNgEfF/S0cBS4EO0uyGX2kP3kW7gzQaYPKlfejSamVVNOR/CjYhHyVqr2pdvAU7p5Ji5wNyyBNAD1WjWGwAcC3wrIo4BttODJryIuCoiZkTEjLEHuLOhmdW3QOxpayppqSfV+DQtQEtE3JXe30CWrDq7IWdm1tAiVNJST/o9OUXE34C1ko5MRaeQtWd2dkPOzKyhlatDRC2p1nNOHwCukzQIeBT4R7JEuc8NOTOzRhbl7RBRM6qSnCJiGdDRg2Id3pAzM2tk9dZkVwqPEGFmlmuebNDMzHLINSczM8uVRp1s0MnJzCzPAlqdnMzMLE8CN+uZmVnuuEOEmZnlUPTLDEr54uRkZpZzbtYzM7NciXByMjOzHPI9JzMzy522NicnMzPLkaD+psMohZOTmVnONWBnPScnM7Ncc4cIMzPLpQasOjk5mZnlnGtOJZL0kRJ22x4R/9Wb85uZ2QsacYSIpl4e96/ACGBkF8u/lCNAM7NGFgHR1lTSUk9626x3TUT8e1c7SBrey3ObmVmRRqw59So5RcTHyrGPmZmVoAGTU5/qgZI+JGmUMt+VdI+k08oVnJmZZQ/hlrLUk742Ur4nIrYCpwHjgH8EPt/nqMzM7AVR4lJH+tqVvJCqzwK+HxH3Sqqv9G1mVk0N+hBuX2tOSyUtJEtOt0oaCbT1PSwzM3uea049diEwHXg0Ip6VdABZ056ZmZVLA9ac+pScIqJN0hTgXEkB/D4ibipLZGZmlqmzWlEp+pScJH0TeDHwo1R0kaRTI+LiPkdmZmapya7xak59vef0OuD0iPh+RHyf7N7TSX2OyszMnpdN1d79UipJzZL+LOmW9P4ySY9LWpaWs4r2nSNplaSVkk4v/6frWF/vOa0EDgb+mt4fBNzXx3OamVmx8jfrfQh4EBhVVHZFRHypeCdJ04BZwFHAgcDtko6IiNayR9ROX2tOBwAPSlokaRHwADBO0gJJC/ocnZmZZc16pSwlkDQZeCNwdQm7zwSuj4idEbEaWAUc3+vP0QN9rTl9qixRmJlZp1R6zWmspCVF76+KiKva7XMl8DGyAbqLvV/Su4ElwL9ExJPAJOBPRfu0pLKK62tvvd+WKxAzM+tACNpK7hCxOSJmdLZR0tnAxohYKumkok3fAj5D1oD4GeDLwHt4YaCFvSIqNZi+6FWzXuEmWl/3MTOzEpTvIdwTgTdLWgNcD5ws6dqI2BARrRHRBnyHF5ruWsj6EhRMBtb19eOUorc1p1d3c09JwLRentvMzIqVqa4SEXOAOQCp5vTRiDhX0sSIWJ92eyuwPK0vAH4o6StkHSKmAovLE03XepucZpawz65entvMzIpVviHti5KmpyutAS4CiIgVkuaTdXbbA1zcHz31oPfzOflek5lZf6jQQ7gRsQhYlNbP62K/ucDcsgfQjarN69vBQ2BjJN0m6eH0OrpasZmZ5YmitKWeVHPS+cJDYAWXAndExFTgjvTezMwacFTyvs6Ee7akHp+jk4fAZgLz0vo84C19ic3MzGpXX2tOs4CHJX1R0kt7cNyVZA+BFc/9NKHQWyS9ju/oQEmzJS2RtGTzFk8dZWb1T20qaaknfUpOEXEucAzwCPB9SX9MyaP9k8fPK34IrJfXvCoiZkTEjLEHVLNV0sysH5TapOdmvb1FxFbgp2QPdE0k6yN/j6QPdHJIhw+BARskTQRIrxv7GpuZWV1wcuoZSW+SdBPwa2AgcHxEnAkcDXy0o2MiYk5ETI6IKWTNgr9ONbAFwPlpt/OBm/sSm5lZvWjE3np9Hfj1HLJh1v+3uDBN2f6eHp7r88B8SRcCj6Vzm5lZnSWeUvR14Nd3d7HtjhKOX8QLD4FtAU7pSzxmZnWpAZNTX5v1TpB0t6RtknZJapW0tVzBmZk1ulKb9Nyst7evk903+gkwA3g38OK+BmVmZkXqrJt4KfqanIiIVZKa02CA35f0hzLEZWZmSb3VikrR1+T0rKRBwDJJXwTWA8P7HpaZmT2vAZNTX59zOg9oBt4PbCeblOptfQ3KzMwS33PquYj4a1rdAVze93DMzGwfdZZ4StGr5CTpfrr4uiLi5b2OyMzM9ubkVLKzyxqFmZl1qt6a7ErR25lwC815SDoEmBoRt0sa2ttzmplZJxowOfX1Idz3ATcA/5WKJgM/62NMZmZW0KAdIvraW+9islHGtwJExMN0Mg+TmZn1UgOOSt7XJridEbFLyp5eljSAuvuKzMyqrAF/q/a15vRbSf8GDJX0BrJhjH7e97DMzAxAuFmvNy4FNgH3AxcBvwA+2degzMysiJv1eiYi2iT9DPhZRGwqT0hmZva8OqwVlaJXNSdlLpO0GXgIWClpk6RPlTc8MzOjrcSljvS2We8Ssl56x0XEARExBngFcKKkD5crODMz8z2nnng38M6IWF0oiIhHgXPTNjMzKxffcyrZwIjY3L4wIjZJGtjHmMzMrKAOE08pepucdvVym5mZ9VC9NdmVorfJ6WhJWzsoFzCkD/GYmVl7Tk6liYjmcgdiZmYda8SaU18fwjUzs0oKyt6VXFKzpD9LuiW9HyPpNkkPp9fRRfvOkbRK0kpJp5frY3XHycnMLMfUg6UHPgQ8WPT+UuCOiJgK3JHeI2kaMAs4CjgD+Kakfmk5c3IyM8u7MnYllzQZeCNwdVHxTGBeWp8HvKWo/PqI2JkeHVoFHN/7D1I6Jyczs5wr80O4VwIfY++GwAkRsR4gvRamPpoErC3aryWVVZyTk5lZ3pVecxoraUnRMrv4NJLOBjZGxNISr9xRa2G/dM/wlOpmZnlXejrYHBEzuth+IvBmSWeRPfYzStK1wAZJEyNivaSJwMa0fwtwUNHxk4F1PYq9l1xzMjPLszJO0x4RcyJickRMIevo8OuIOBdYAJyfdjsfuDmtLwBmSRos6VBgKrC4zJ+wQ645mZnlXeUb0j4PzJd0IfAYcA5ARKyQNB94ANgDXBwRrRWPBicnM7PcUwWmw4iIRcCitL4FOKWT/eYCc8sfQdecnMzMcq4RR4hwcjIzyzOPSm5mZrnk5GRmZnki3KxnZmZ51IDJqd+fc5J0kKTfSHpQ0gpJH0rlnY6Ka2bWyBRR0lJPqvEQ7h7gXyLipcAJwMVp5NsOR8U1M2tokXUlL2WpJ/2enCJifUTck9afIRu2fRKdj4prZtbYyjgqea2o6j0nSVOAY4C7aDcqrqTxnRwzG5gNMHmSJ+Q1s/rXiB0iqja2nqQRwE+BSyJia6nHRcRVETEjImaMPcBDA5pZA2jAmlNVfrtLGkiWmK6LiBtT8YY0Gi7tRsU1M2tcZRz4tZZUo7eegO8CD0bEV4o2dTYqrplZY2vAmlM17jmdCJwH3C9pWSr7NzoZFdfMrJH5Idx+EhG/p+PZFaGTUXHNzBqZ2hovO3mECDOzPKvDJrtSODmZmeVcvT1gWwonJzOzvHPNyczM8sYdIszMLF8CqLNBXUvh5GRmlnOuOZmZWa4Id4gwM7O8iXCznpmZ5Y+b9czMLH+cnMzMLG9cczIzs3wJwGPrmZlZ7jRebnJyMjPLOzfrmZlZ7njKDDMzyxdPmWFmZnmTzYTbeNnJycnMLO8acPiipmoHYGZmXVNESUu355GGSFos6V5JKyRdnsovk/S4pGVpOavomDmSVklaKen0Cn7MvbjmZGaWZ+W957QTODkitkkaCPxe0i/Ttisi4kvFO0uaBswCjgIOBG6XdEREtJYtok645mRmlmvxwuCv3S3dnSmzLb0dmJauDpwJXB8ROyNiNbAKOL6vn6gUTk5mZjmntihpAcZKWlK0zN7nXFKzpGXARuC2iLgrbXq/pPskfU/S6FQ2CVhbdHhLKqs4JyczszyLbD6nUhZgc0TMKFqu2ud0Ea0RMR2YDBwv6WXAt4DDgenAeuDLaXd1HFHlOTmZmeVdmZr19j5lPAUsAs6IiA0pabUB3+GFprsW4KCiwyYD6/r8eUrg5GRmlndR4tINSeMk7Z/WhwKnAg9Jmli021uB5Wl9ATBL0mBJhwJTgcV9/0Ddc289M7OcK+NDuBOBeZKaySon8yPiFknXSJpOluLWABcBRMQKSfOBB4A9wMX90VMPnJzMzPKvTMkpIu4Djumg/LwujpkLzC1LAD3g5GRmlmdBQ44Q4eRkZpZjIlBb42UnJyczs7zzwK9mZpYrbtYzM7M88pQZZmaWP05OZmaWLz0f/aEeODmZmeVZ4ORkZmb5o9bGS065G1tP0hlpxsVVki6tdjxmZlVXgYFf8y5XySmN9/QN4ExgGvDONBOjmVljCqAtSlvqSK6SE9kw7asi4tGI2AVcTzYTo5lZgyrfTLi1JG/3nDqadfEVxTukmR1nAwxhGL97+WBG8AhT+y9GM7P+VWeJpxR5S07dzrqYZna8CmCUxjTev5iZNR4np6qr2qyLZma5VLjn1GDylpzuBqamGRcfB2YB76puSGZm1RTQ1i/z++VKrpJTROyR9H7gVqAZ+F5ErKhyWGZm1eOaUz5ExC+AX1Q7DjOz3PA9JzMzyx0nJzMzy5f6e4apFE5OZmZ5FoCnaTczs9xxzcnMzHLHycnMzHIlgmj1c05mZpY3fs7JzMxyx816ZmaWKxHurWdmZjnkmpOZmeVNuOZkZmb54hEizMwsbwJwV3IzM8uTAKIBu5I3VTsAMzPrQgREW2lLNyQNkbRY0r2SVki6PJWPkXSbpIfT6+iiY+ZIWiVppaTTK/hJ9+LkZGaWc9EWJS0l2AmcHBFHA9OBMySdAFwK3BERU4E70nskTSObkfwo4Azgm5Kay/8J9+XkZGaWd2WqOUVmW3o7MC0BzATmpfJ5wFvS+kzg+ojYGRGrgVXA8WX8ZJ2q6XtOz/DkttvjhpXVjqPIWGBztYMo4ni65ni65ni61l08h5TjIs/w5K23xw1jS9x9iKQlRe+vioirindINZ+lwIuBb0TEXZImRMR6gIhYL2l82n0S8Keiw1tSWcXVdHICVkbEjGoHUSBpiePpnOPpmuPpWqPGExFnlPl8rcB0SfsDN0l6WRe7q6NTlDOezrhZz8ysAUXEU8AisntJGyRNBEivG9NuLcBBRYdNBtb1R3xOTmZmDULSuFRjQtJQ4FTgIWABcH7a7Xzg5rS+AJglabCkQ4GpwOL+iLXWm/Wu6n6XfuV4uuZ4uuZ4uuZ4+m4iMC/dd2oC5kfELZL+CMyXdCHwGHAOQESskDQfeADYA1ycmgUrTtGAw2KYmVm+uVnPzMxyx8nJzMxyp2aTk6Qz0nAaqyRd2k/X/J6kjZKWF5VVZdgPSQdJ+o2kB9MwJB+qcjy5HBZFUrOkP0u6pdrxSFoj6X5JywrPolQ5nv0l3SDpofRz9Moq/vwcmb6XwrJV0iVV/n4+nH6Wl0v6UfoZz90wP3UrImpuAZqBR4DDgEHAvcC0frjua4FjgeVFZV8ELk3rlwJfSOvTUlyDgUNTvM1ljGUicGxaHwn8JV2zWvEIGJHWBwJ3ASdUK56iuD4C/BC4pZr/Xukaa4Cx7cqqGc884L1pfRCwf7X/vdK1moG/kT3EWq2f50nAamBoej8fuCAP30+jLFUPoJc/OK8Ebi16PweY00/XnsLeyWklMDGtTyR7MHifmIBbgVdWMK6bgTfkIR5gGHAP8IpqxkP2TMYdwMm8kJyqGc8a9k1OVYkHGJV++SoP8bSL4TTgzip/P5OAtcAYsl7Nt6S4qv79NMpSq816hR+cgn4bUqMDew37ARQP+9EvMUqaAhxDVlupWjypCW0Z2QN8t0VEVeMBrgQ+BhQPOlbNeAJYKGmppNlVjucwYBPw/dTsebWk4VWMp9gs4EdpvSrxRMTjwJfIulWvB56OiIXViqcR1WpyqtqQGj3QLzFKGgH8FLgkIrZWM56IaI2I6WQ1luNVxWFRJJ0NbIyIpaUeUsl4khMj4ljgTOBiSa+tYjwDyJqovxURxwDbSSNRVyme7CLSIODNwE+627WS8aR7STPJmugOBIZLOrda8TSiWk1OVRtSowNVG/ZD0kCyxHRdRNxY7XgKIh/DopwIvFnSGuB64GRJ11YxHiJiXXrdCNxENrpzteJpAVpS7RbgBrJkVe2fnzOBeyJiQ3pfrXhOBVZHxKaI2A3cCLyqivE0nFpNTncDUyUdmv7SmkU2zEY1VGXYD0kCvgs8GBFfyUE8uRoWJSLmRMTkiJhC9vPx64g4t1rxSBouaWRhnez+xfJqxRMRfwPWSjoyFZ1CNgpAtYexeScvNOkVrluNeB4DTpA0LP1fOwV4sIrxNJ5q3/Tq7QKcRdZD7RHgE/10zR+RtT/vJvtL6ULgALKb7g+n1zFF+38ixbcSOLPMsbyarNngPmBZWs6qYjwvB/6c4lkOfCqVVyWedrGdxAsdIqr1/RxG1pvrXmBF4We2mt8P2WRzS9K/2c+A0VWOZxiwBdivqKya8VxO9gfWcuAasp54Vf95bpTFwxeZmVnu1GqznpmZ1TEnJzMzyx0nJzMzyx0nJzMzyx0nJzMzyx0nJzMzyx0nJ6sqSa1pioQVyqbb+IikprRthqSvdnHsFEnv6r9o97n2jjSWYDnONzR9D7skjS3HOc1q2YBqB2ANb0dk4/EhaTzZ9Bb7AZ+OiCVkD4l2ZgrwrnRMNTxSiL2vImIHMD0Nt2TW8FxzstyIbMy52cD7lTlJL0wS+Lqiiej+nIYC+jzwmlT24VSb+Z2ke9LyqnTsSZIW6YWJ9a5LQ9Ig6ThJf0i1tsWSRqbR1f9D0t2S7pN0UXexp2s/KOk7qRa4MA3jRLr2FZL+N+1znKQblU1Y99lKfZ9mtcw1J8uViHg0NeuNb7fpo8DFEXGnspHYnyMbRfujEXE2gKRhwBsi4jlJU8mGm5qRjj8GOIpsMM47gRMlLQZ+DLwjIu6WNArYQTYs1dMRcZykwcCdkhZGxOpuwp8KvDMi3idpPvA24Nq0bVdEvFbZjMU3A38HPAE8IumKiNjSi6/LrG45OVkedTT9wJ3AVyRdB9wYES2p8lNsIPB1SdOBVuCIom2LI6IFIN0nmgI8DayPiLsBIk05Iuk04OWS3p6O3Y8s8XSXnFZHxLK0vjRdo6AwMPH9wIpIcwJJepRsNGsnJ7MiTk6WK5IOI0ssG4GXFsoj4vOS/odscNs/STq1g8M/DGwAjiZrsn6uaNvOovVWsp990fGcOwI+EBG39jD89tcY2sG2tnb7teH/h2b78D0nyw1J44BvA1+PdiMSSzo8Iu6PiC+QdZJ4CfAMMLJot/3IakJtwHlAczeXfAg4UNJx6RojJQ0gm2L7n5TNl4WkI9I0F2bWT/wXm1Xb0NTMNhDYQzY1wVc62O8SSa8nq5E8APySrNaxR9K9wA+AbwI/lXQO8Buy2V07FRG7JL0D+FrqvLCDbB6qq8ma5O5JHSc2AW/p06c0sx7xlBlmvSBpCtkcUV1NRd+b864BZkTE5nKe16zWuFnPrHdagf3K/RAuWQ2yrRznNKtlrjmZmVnuuOZkZma54+RkZma54+RkZma54+RkZma58/8DgIie/tXAkiYAAAAASUVORK5CYII=\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, shading='auto')\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": [
    "## Analytical Phonons\n",
    "\n",
    "The `PhononAna` 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": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "pana = ud.PhononAna(S, True)\n",
    "pana.save_data = False\n",
    "pana.disp_messages = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating linear thermal expansion ...\n",
      "Calculating _eigen_values_ ...\n",
      "Elapsed time for _eigen_values_: 3.849591 s\n",
      "Calculating _strain_map_ ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bd7a537f56b14a7391b31deab4700c7b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Progress:   0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time for _strain_map_: 27.704802 s\n"
     ]
    }
   ],
   "source": [
    "strain_map, A, B = pana.get_strain_map(delays, temp_map, delta_temp_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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, :],\n",
    "         label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[350, :],\n",
    "         label=np.round(delays[350]))\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Strain')\n",
    "plt.legend()\n",
    "plt.title('Analytical 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), shading='auto')\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Analytical Strain Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Energy Spectrum\n",
    "\n",
    "The analytical phonon model easily allows for calculating the energy per eigenmode of the coherent acoustic phonon spectrum for every delay of the simulation. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _eigen_values_ ...\n",
      "Elapsed time for _eigen_values_: 4.277784 s\n"
     ]
    }
   ],
   "source": [
    "omega, E = pana.get_energy_per_eigenmode(A, B)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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.plot(omega, E[-1, :])\n",
    "plt.xlim(omega[0], omega[-1])\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Frequency [Hz]')\n",
    "plt.ylabel('Energy [J]')\n",
    "plt.title('Analytical Energy Spectrum')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numerical Phonons\n",
    "\n",
    "The `PhononNum` 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": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "pnum = ud.PhononNum(S, True)\n",
    "pnum.save_data = False\n",
    "pnum.disp_messages = True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The actual calculation is done in one line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "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": "5edc10bab938494bae5903564311aa8a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time for _strain_map_: 1.525142 s\n"
     ]
    }
   ],
   "source": [
    "strain_map = pnum.get_strain_map(delays, temp_map, delta_temp_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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, :],\n",
    "         label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[350, :],\n",
    "         label=np.round(delays[350]))\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Strain')\n",
    "plt.legend()\n",
    "plt.title('Numerical 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), shading='auto')\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Numerical Strain Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Anharmonic Phonon Propagation\n",
    "\n",
    "The numerical phonon dynamic calculations also allow for phonon damping and non-linear phonon propagation.\n",
    "This can be achieved by setting the `phonon_damping` property and using the `set_ho_spring_constants()` method of the according layers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "STO_sub.phonon_damping = -1e10*u.kg/u.s\n",
    "STO_sub.set_ho_spring_constants([-7e11])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Recalculate the coherent phonon dynamics:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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": "388d68e296c941b68a9d0b1f879706c4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time for _strain_map_: 2.091516 s\n"
     ]
    }
   ],
   "source": [
    "strain_map = pnum.get_strain_map(delays, temp_map, delta_temp_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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, :],\n",
    "         label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[350, :],\n",
    "         label=np.round(delays[350]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[-1, :],\n",
    "         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('Anharmonic 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), shading='auto')\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Anharmonic Strain Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
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