{
 "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'] = 'lambda T: 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'] = 'lambda T: 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_: 0.051086 s\n",
      "Elapsed time for _temp_map_: 0.303089 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": {
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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, 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": [
    "## 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_: 18.035563 s\n",
      "Calculating _strain_map_ ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "64a9647301484368870fd08ba4e5bd34",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='Progress', max=1000.0, style=ProgressStyle(description_wi…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _strain_map_: 87.409642 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))\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_: 11.229450 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": "d0ad3503046342e8b64475aabe0a2cf8",
       "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_: 2.980978 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))\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": "25a541eceded4e3fa4e0d4b0fae9cce8",
       "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_: 3.732885 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))\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()"
   ]
  }
 ],
 "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"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
