{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "be4ef12a-4723-4ef6-81c7-7ffe369445c0",
   "metadata": {},
   "source": [
    "# Thermo-optic modulator with a doped silicon heater\n",
    "\n",
    "In this example we investigate the modulation of a silicon waveguide with an embedded doped silicon p++ - p - p++ junction inspired by the design presented in [Chuyu Zhong, Hui Ma, Chunlei Sun, Maoliang Wei, Yuting Ye, Bo Tang, Peng Zhang, Ruonan Liu, Junying Li, Lan Li, and Hongtao Lin, \"Fast thermo-optical modulators with doped-silicon heaters operating at 2 μm\", Opt. Express 29, 23508-23516 (2021)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-29-15-23508&id=453181). The primary modulation effect is due to heating occurring inside the waveguide as a potential difference is applied across the p++ - p - p++ junction. For calculation of current flowing through the device we use our [Charge solver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.SemiconductorMedium.html#tidy3d.SemiconductorMedium). The non-isothermal analysis option allows the solver to also provide the temperature distribution from both Joule heating and generation/recombination heat sink/source.\n",
    "\n",
    "The sketch below highlights the geometric features of the considered waveguide:\n",
    "\n",
    "<img src=\"img/doped_silicon_heater.png\" alt=\"3D view of the modulator\" width=\"500\" />\n",
    "<img src=\"img/ppp_junction.png\" alt=\"Modulator Cross-Section\"  width=\"500\"/>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd0ee299-d485-4f3a-8258-d14e0db2ffbe",
   "metadata": {},
   "source": [
    "We begin by importing the required modules for this example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0cc26130-1aa0-41de-b660-a916155e65c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from matplotlib import pyplot as plt\n",
    "from tidy3d.log import log"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef61f319-f854-4a89-b8c2-8ab5c4bcf90c",
   "metadata": {},
   "source": [
    "Next, let's define some geometric properties of the waveguide as well as the doping. We define three doping regions within the Si waveguide with concentrations p++ - p - p++. The interface between the high doping concentration and low doping concentration is delimited by ``[-x_i, x_i]`` with $x=0$ being the center of the waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "44fdbd0b-760c-466e-9de1-b9d55e9e1291",
   "metadata": {},
   "outputs": [],
   "source": [
    "# modulator cross section parameters (µm)\n",
    "w_core = 0.5\n",
    "h_core = 0.34\n",
    "h_slab = 0.1\n",
    "h_side = 0.1\n",
    "w_contact = 0.5\n",
    "x_side = 2.25\n",
    "x_total = 3\n",
    "x_i = 1.75\n",
    "h_contact = 0.05\n",
    "# for the present setup this contact height is not relevant\n",
    "# since the conductors are not included in the simulation\n",
    "\n",
    "# modulator doping concentrations (1/cm^3)\n",
    "conc_p = 3.5e17\n",
    "conc_pp = 0.85e20"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11c377b4",
   "metadata": {},
   "source": [
    "Let's now define some reference temperature and wavelength:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cf6ff80a",
   "metadata": {},
   "outputs": [],
   "source": [
    "Tref = 300\n",
    "wvl_um = 2\n",
    "freq0 = td.C_0 / wvl_um"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4c84177",
   "metadata": {},
   "source": [
    "We define next dimensions for the cladding and buried oxide box:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "664fcd16",
   "metadata": {},
   "outputs": [],
   "source": [
    "# cladding dimensions (µm)\n",
    "sim_width = 20\n",
    "h_cladding = 2  # thickness of cladding\n",
    "h_box = 1.5  # thickness of buried oxide\n",
    "\n",
    "# define center of the cladding so that the device sits 2um above\n",
    "center_cladding = (0, h_cladding / 2, 0)\n",
    "center_box = (0, -h_box / 2, 0)\n",
    "center_sim = (0, (h_cladding - h_box) / 2, 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9fe7ed94",
   "metadata": {},
   "source": [
    "Next we define some optical and thermal properties for Si and SiO2.\n",
    "Thermal properties can be extracted from [www.efunda.com](https://www.efunda.com/materials/elements/TC_Table.cfm?Element_ID=Si), [www.periodic-table.org](https://www.periodic-table.org/silicon-specific-heat/) and [www.azom.com](https://www.azom.com/properties.aspx?ArticleID=1114)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0059a8f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Si properties\n",
    "Si_dndT = 1.76e-4  # Si thermo-optic coefficient dn/dT, 1/K\n",
    "\n",
    "Si_k = 148e-6  # Si thermal conductivity, W / (um * K)\n",
    "Si_s = 710  # Si specific heat capacity, J / (Kg * K)\n",
    "\n",
    "# SiO2 properties\n",
    "SiO2_n = 1.444  # SiO2 refraction index\n",
    "SiO2_dndT = 1e-5  # SiO2 thermo-optic coefficient dn/dT, 1/K\n",
    "\n",
    "SiO2_k = 1.38e-6  # SiO2 thermal conductivity, W/(um*K)\n",
    "SiO2_s = 709  # SiO2 specific heat capacity, J / (Kg * K)\\"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58cb263e-60c1-4e7f-99d0-5e2d02241d7a",
   "metadata": {},
   "source": [
    "## Heat-Charge simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b608c0d-4291-446b-af57-ce301c2a0a96",
   "metadata": {},
   "source": [
    "We will begin by creating a [`HeatChargeSimulation`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.HeatChargeSimulation.html#tidy3d.HeatChargeSimulation) object. To define it we will need to create at least one [`SemiconductorMedium`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.SemiconductorMedium.html#tidy3d.SemiconductorMedium). For this type of medium we can define the doping distributions that will be applied to all structures that have this as their medium. \n",
    "\n",
    "Let's start, then, with creating the doping. There are two main ways of defining doping in Tidy3d: supplying a `SpatialDataArray` with the desired doping distribution or through doping boxes.\n",
    "\n",
    "In what follows we'll use doping boxes. One thing to note is that these boxes are **additive** meaning that regions with boxes overlap will see the sum of the doping corresponding to each of the boxes.\n",
    "\n",
    "Additionally, there are different types of doping boxes. Here we'll be using [`ConstantDoping`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ConstantDoping.html#tidy3d.ConstantDoping) and [`GaussianDoping`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.GaussianDoping.html#tidy3d.GaussianDoping). Gaussian doping allow for smooth transition of one doping level to another."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e0f54f99-2d6a-48a3-986e-54e37c88e525",
   "metadata": {},
   "outputs": [],
   "source": [
    "acceptors = []\n",
    "\n",
    "acceptors.append(\n",
    "    td.ConstantDoping(\n",
    "        center=[0, 0, 0], size=[2 * x_total, 2 * h_core, td.inf], concentration=conc_p\n",
    "    )\n",
    ")\n",
    "\n",
    "acceptors.append(\n",
    "    td.GaussianDoping.from_bounds(\n",
    "        rmin=[-x_total, -10 * h_side, -td.inf],\n",
    "        rmax=[-x_i, 10 * h_side, td.inf],\n",
    "        concentration=conc_pp - conc_p,\n",
    "        ref_con=conc_p,\n",
    "        width=4 * h_side,\n",
    "        source=\"xmin\",\n",
    "    )\n",
    ")\n",
    "\n",
    "acceptors.append(\n",
    "    td.GaussianDoping.from_bounds(\n",
    "        rmin=[x_i, -10 * h_side, -td.inf],\n",
    "        rmax=[x_total, 10 * h_side, td.inf],\n",
    "        concentration=conc_pp - conc_p,\n",
    "        ref_con=conc_p,\n",
    "        width=4 * h_side,\n",
    "        source=\"xmax\",\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "872a4d62-f153-4fc9-af1b-031e6abe6cab",
   "metadata": {},
   "source": [
    "Next we'll use this doping to define the semiconductor properties. \n",
    "\n",
    "You can see how materials are defined with the [`MultiPhysicsMedium`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.components.material.multi_physics.MultiPhysicsMedium.html#tidy3d.components.material.multi_physics.MultiPhysicsMedium) class which allows to define physical group of properties, e.g., optical, thermal, and electrical properties.  \n",
    "\n",
    "The exception is `air` which is defined as [`Medium`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Medium.html#tidy3d.Medium). This is because `air` structures will be removed from our Heat-Charge simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "421db897-42d9-4ddb-9436-fe3210b7c03a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# let's define a material here for our Charge simulations\n",
    "si_doped = td.MultiPhysicsMedium(\n",
    "    optical=td.material_library[\"cSi\"][\"Palik_Lossless\"],\n",
    "    charge=td.SemiconductorMedium(\n",
    "        permittivity=11.1,\n",
    "        N_c=td.ConstantEffectiveDOS(N=2.86e19),\n",
    "        N_v=td.ConstantEffectiveDOS(N=3.1e19),\n",
    "        E_g=td.ConstantEnergyBandGap(eg=1.11),\n",
    "        mobility_n=td.ConstantMobilityModel(mu=400),\n",
    "        mobility_p=td.ConstantMobilityModel(mu=200),\n",
    "        R=[td.ShockleyReedHallRecombination(tau_n=1e-8, tau_p=1e-8)],\n",
    "        N_a=acceptors,\n",
    "    ),\n",
    "    heat=td.SolidMedium(\n",
    "        conductivity=Si_k,\n",
    "        capacity=Si_s,\n",
    "    ),\n",
    "    name=\"Si\",\n",
    ")\n",
    "\n",
    "SiO2 = td.MultiPhysicsMedium(\n",
    "    optical=td.Medium.from_nk(n=SiO2_n, k=0, freq=freq0),\n",
    "    heat=td.SolidSpec(conductivity=SiO2_k, capacity=SiO2_s),\n",
    "    charge=td.ChargeInsulatorMedium(permittivity=SiO2_n**2),\n",
    "    name=\"SiO2\",\n",
    ")\n",
    "\n",
    "air = td.Medium(heat_spec=td.FluidSpec(), name=\"air\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c84139d-dddb-4b17-ab53-c7fa88fc6cb3",
   "metadata": {},
   "source": [
    "### Structures\n",
    "\n",
    "We create now all the structures used in both the optic and Heat-Charge simulations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4e43d3fb-6a85-49a6-8d72-2979e87b26d8",
   "metadata": {},
   "outputs": [],
   "source": [
    "core = td.Structure(\n",
    "    geometry=td.Box(center=(0, h_core / 2, 0), size=(w_core, h_core, td.inf)),\n",
    "    medium=si_doped,\n",
    "    name=\"core\",\n",
    ")\n",
    "\n",
    "left_slab = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(-(x_side + w_core / 2) / 2, h_slab / 2, 0),\n",
    "        size=(x_side - w_core / 2, h_slab, td.inf),\n",
    "    ),\n",
    "    medium=si_doped,\n",
    "    name=\"left_slab\",\n",
    ")\n",
    "\n",
    "left_side = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(-(x_side + x_total) / 2, h_side / 2, 0), size=(x_total - x_side, h_side, td.inf)\n",
    "    ),\n",
    "    medium=si_doped,\n",
    "    name=\"left_side\",\n",
    ")\n",
    "\n",
    "right_slab = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=((x_side + w_core / 2) / 2, h_slab / 2, 0),\n",
    "        size=(x_side - w_core / 2, h_slab, td.inf),\n",
    "    ),\n",
    "    medium=si_doped,\n",
    "    name=\"right_slab\",\n",
    ")\n",
    "\n",
    "right_side = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=((x_side + x_total) / 2, h_side / 2, 0), size=(x_total - x_side, h_side, td.inf)\n",
    "    ),\n",
    "    medium=si_doped,\n",
    "    name=\"right_side\",\n",
    ")\n",
    "\n",
    "cladding = td.Structure(\n",
    "    geometry=td.Box(center=center_sim, size=(sim_width, h_cladding + h_box, td.inf)),\n",
    "    medium=SiO2,\n",
    "    name=\"cladding\",\n",
    ")\n",
    "\n",
    "# create objects for heat simulation\n",
    "substrate = td.Structure(\n",
    "    geometry=td.Box(center=(0, -h_box - h_slab / 2, 0), size=(sim_width, h_slab, td.inf)),\n",
    "    medium=si_doped,\n",
    "    name=\"substrate\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b44d425",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "\n",
    "For ease in defining boundary conditions we define here some auxiliary structures made up of a conductive medium defined with [`ChargeConductorMedium`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ChargeConductorMedium.html#tidy3d.ChargeConductorMedium) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1807598c-f4fc-4fc6-b3e0-6055677d8654",
   "metadata": {},
   "outputs": [],
   "source": [
    "contact_medium = td.MultiPhysicsMedium(\n",
    "    charge=td.ChargeConductorMedium(conductivity=1), name=\"contact\"\n",
    ")\n",
    "\n",
    "contact_p = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(-x_total + w_contact / 2, h_side + h_contact / 2, 0),\n",
    "        size=(w_contact, h_contact, td.inf),\n",
    "    ),\n",
    "    medium=contact_medium,\n",
    "    name=\"contact_p\",\n",
    ")\n",
    "\n",
    "contact_n = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(x_total - w_contact / 2, h_side + h_contact / 2, 0),\n",
    "        size=(w_contact, h_contact, td.inf),\n",
    "    ),\n",
    "    medium=contact_medium,\n",
    "    name=\"contact_n\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5c2f261-38c9-4112-9ff2-90bdb31e304f",
   "metadata": {},
   "source": [
    "### Scene\n",
    "We can now put those structures together into a scene and explore what it looks like"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2796569f-6734-4da7-8fd1-204a861c04e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create a scene with the previous structures\n",
    "Si_structures = [left_side, left_slab, core, right_slab, right_side]\n",
    "\n",
    "all_structures = [cladding, substrate] + Si_structures + [contact_p, contact_n]\n",
    "\n",
    "scene_charge = td.Scene(\n",
    "    medium=air,\n",
    "    structures=all_structures,\n",
    ")\n",
    "\n",
    "scene_charge.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "835d099d-7968-48de-9661-7dcb454b645d",
   "metadata": {},
   "source": [
    "Let's also inspect the doping profiles and make sure it is what we were expecting. Note the smooth transition of doping between the p and p+ regions. These smooth transitions avoid sharp variations in electric potential hence avoiding artificially high electric field. This is relevant in non-isothermal simulations since some of the heat source terms are proportional to the electric field."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e6d07616-0aa7-4ef3-8d9d-1cd884438166",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O47B27Vo89dRT6Nmzp0Y70tPTUV1drZz30ksvITc3F7t27VLOy8/Px44dOzBkyBDlGLqOHTsiJCQE69at0yjvsmbNGggEArz00kt6j0FERAQcHBy0xgeAehccu3fvVrqYm/Pnz6Njx47KMarEk8OsWbNw5swZbN26FRcvXsTIkSPx3HPP4caNG7y3UVlZqTG2F5A/6UhOTtaIraYIPX4lnhg++ugj/P777+jbt6+y3Ed2djZ27NiBU6dOaZTcqIuPjw/i4uKwZMkSPPfccxg6dCiuXbuG1atXIzIyUjmm68iRI5g1axZGjhyJtm3boqamBj/99BNsbW3x4osvAgCWLl2KEydOYPDgwQgKCkJeXh5Wr14Nf39/vaUt+Kz38ssvY/v27Xjttddw9OhR9OrVC7W1tUhPT8f27dvx22+/oVu3bmjdujXeffddfPDBB3j66afxwgsvQCgU4uzZs/Dz80N8fDwA+R/6NWvWYNmyZWjdujWaN2+uTLpQx97eHsuXL8fkyZPRt29fjB07VlnSpEWLFnjrrbeM/do06NmzJzw9PTFx4kS88cYbEAgE+Omnn7R2LCIiIrBt2zbMnTsXkZGRcHV11fno5Y033sCDBw8wf/58bN26VeOzsLAwhIWFAUC9sid88Pf3x5w5c/Dpp5+iuroakZGR2LNnD06ePInNmzdrPJaMi4vDDz/8gIyMDGVdvZdeegndu3fH5MmTkZaWpnyjRG1tLZYsWaKxr08//RRDhw7FgAEDMGbMGFy+fBnffPMNpk6dWq+kSl0cHR0xYMAAHD58GEuXLq33eUJCAsaNG4c+ffrg+vXrWLduHZydnfH7778jMjISzz//PPOx0UZ1dbWyTiTxZJGZmYmNGzciMzNTOaxg3rx5SEhIwMaNG/HRRx/x2k5sbCzWr1+P4cOHo2vXrjh//jzWr1+P6upq5Ofna4x5bXI0Ss4tQTQSd+7c4SZMmMD5+PhwQqGQa9myJTdz5kyusrKS4zhVSRNtZU84Tl7CJCQkhLO3t+fEYjE3Y8YMrrCwUPn5rVu3uFdeeYVr1aoV5+joyHl5eXH9+vXjDh8+rFwmMTGRGzZsGOfn58c5ODhwfn5+3NixY7nr16/rbTvf9aqqqrjly5dzHTt25IRCIefp6clFRERwS5Ys4aRSqcayGzZs4Lp06aJcrm/fvtyhQ4eUn+fk5HCDBw/m3NzcOADK8iZ1S5oo2LZtm3J7Xl5e3Lhx47i7d+9qLDNx4kTOxcWlnp+iHIYh/vjjD6579+6ck5MT5+fnx82fP5/77bff6rWntLSU+7//+z/Ow8ODA6C3vEnfvn11lidRL9lhLLW1tdxHH33EBQUFcQ4ODlzHjh25n3/+ud5yinIvGRkZGvMLCgq4KVOmcM2aNeOcnZ25vn376jxHd+/ezYWHh3NCoZDz9/fn3nvvPa6qqopXO3ft2sUJBAKNsiiKkiYfffQRFxMTwwmFQi44OJjbuXMn95///IdzdnbmlixZwnGc6jusW3ZH13fet29frmPHjhrzDh48yAHgbty4wavNxOMLAG737t3KnxUlkFxcXDQmOzs7btSoUfXWnzhxIjds2LB688vKyrjJkydzdnZ2nK2trfL3BAAuJyfHgkaND737lSAIggAgH4TeoUMHjBo1Ch988AEA+RslgoODsXHjRkyaNMnibRg+fDgEAoHy8S7RdFF8z4oM1m3btmHcuHG4cuVKvcQaV1fXemPoJk2ahKKiIp0ZtNXV1cjNzYWvry/WrVuHd955B0VFRVb7vmpzQI9fCYIgCADyMYtLly7FjBkz8M477+h9C4cluHr1Kvbv34/U1NQG3S9hHXTp0gW1tbXIy8vD008/bfL27O3tlZncW7duxfPPP9+kO3QAdeoIgiAINUaPHo3Ro0c3yr7bt29fL9GIaFqUlpbi77//Vv6ckZGB1NRUeHl5oW3bthg3bhwmTJiAzz//HF26dMGDBw+QmJiIsLAwZcJVWloaqqqqUFBQgJKSEuVFgCJx7Pr160hOTkZ0dDQKCwuxYsUKXL58GT/88END6zY41KkjCIIgCKJBOHfuHPr166f8ee7cuQCAiRMnYtOmTdi4cSOWLVuGt99+G/fu3YO3tze6d++ukYgzaNAgjYLmXbp0AaDKxK6trcXnn3+Oa9euwd7eHv369cPp06eVyUdNGasbUxcfH49du3YhPT0dTk5O6NmzJ5YvX661Ur06O3bswPvvv4/bt2+jTZs2WL58OQYNGqT8nOM4LFq0CN999x2KiorQq1cvrFmzBm3atLG0EkEQBEEQhMWxuofLx48fx8yZM/Hnn3/i0KFDqK6uxoABA5T1tbRx+vRpjB07FlOmTEFKSgqGDx+O4cOHaxSa/eSTT/DVV19h7dq1SEpKgouLC2JjY5Wv2iEIgiAIgnicsbo7dXV58OABmjdvjuPHj6NPnz5alxk9ejQePXqE/fv3K+d1794d4eHhWLt2LTiOg5+fH95++23MmzcPgPwdkWKxGJs2bcKYMWMaxIUgCIIgCMJSWP2YOkVFeC8vL53LnDlzRvlcXkFsbKwyzTkjIwM5OTkahUNFIhGio6Nx5swZrZ26yspKjcr4MpkMBQUFaNasGb1kmiAIgiD0wHEcSkpK4OfnZ1TGaUVFBaqqqizQMsDBwaHeGyeaClbdqZPJZJgzZw569eqFTp066VwuJycHYrFYY55YLFa+fFvxr75l6hIfH1+vWjtBEARBEPzJyspSlhXhS0VFBfycXFGIWsMLG4FEIkFGRkaT7NhZdadu5syZuHz5Mk6dOtXg+46Li9O4+yeVShEYGIisrCy4u7trLFtdI8Pv5zIBAGJPZ3Rr15x5f/lF5UhKl78gOzpEDG8PJ+ZtnLuWh9zCMgDAgG6BsLdjuzoiDxXkoYI85JCHCvJQQR5y6nq09XVEQEAA3NzcmNtSVVWFQtTiB8eWcDbz0P8yyDAx5xaqqqqoU9eQzJo1C/v378eJEycM9vIlEglyc3M15uXm5iqrTyv+VVSWVl9GUdemLkKhUPmibHXc3d01OnXVNTL8lZYDd3d3eIuckFNQhmxpLdoFePLyBIDCkkpcvV8AiU8zAMDV++Xo6ekBT7f6+9fFtaxClFTZomWAGPnScqTdLUP3DhLegUke5EEe5EEe5GEuj9xi+V02U4YrudjZwkVga3hBBgScZe7+WQtWl/3KcRxmzZqF3bt348iRIwgODja4To8ePZCYmKgx79ChQ+jRowcAIDg4GBKJRGOZ4uJiJCUlKZcxhuoaGf5My0FxWRV6dvRFdHsxQgI9kJ5ZhGtZhby2UVhSidNXsuHu7IDeob7oHeoLd2cHnL6SjcKSSsMbgDwg0zOLEBLogej2YvTs6Ivisir8mZaD6hoZeZAHeZAHeZBHg3pcvyvltX99COxtLDI1ZazObubMmfj555+xZcsWuLm5IScnBzk5OSgvL1cuM2HCBMTFxSl/fvPNN5GQkIDPP/8c6enpWLx4Mc6dO4dZs2YBkF8pzJkzB8uWLcO+fftw6dIlTJgwAX5+fsp3zrFS90RWXBW1C/DkHZjqAam4KrK3s0H3DhLegakekIqrO083Ie/AJA/yIA/yIA/yMLdHW3+R3n3zwcZWABs7M0+2TTvR0eo6dWvWrIFUKsUzzzwDX19f5bRt2zblMpmZmcjOzlb+3LNnT2zZsgXr1q1D586dsXPnTuzZs0cjuWL+/PmYPXs2pk+fjsjISJSWliIhIcGoZ+q6TmQFfAJTW0Aq4BuY2gJSAZ/AJA/yIA/yIA/ysIRHG3/+j5B1IbAXWGRqylh9nTprobi4GCKRCPkPC5F2t0zniayOrqDRF5Dq6AsafQGpjq59GQpI8iAP8iAP8iAPYz0UfzOlUmm95EJDKNbdF9ABLjbmHVP3SFaLoVlpRrXrccDq7tRZO2fTc3kFJKD9iotvQAK6r7j4BiSg/YqL5RcLeZAHeZAHeZCHsR5Ew0J36niiuHLYfvgiYqLaMmcWpWcWQeLljHxpOa+AVEc9iBSZRXwCUh3FLwNnoT0AoKyymjkgyYM8yIM8yIM8+HiY407d/1p2tMiduiG3rtCdOkJORJvmzFcm7QI8IfFyRk5BGWpqOaaABFRXXDW1HHIKyiDxcmYKSEB+xRUVIkZxWRWKy6oQFSImD/IgD/IgD/JoEA9joEQJdqhTx8j1u0W80rzVKSypRL5Ulb17K5s91Vt9nXxpOe90dQXVNTKkZ6oG3aZnFpKHljbxhTzkkIcK8lBBHnLIwzQEtgKLTE0Z6tQxUlLOv34PoDkGYlB0EHMdIkBzDMSg6CDmOkTqt9/7hPmhT5gfUx0i8iAP8iAP8iAPYz2MxcZWYJGJhdraWrz//vsIDg6Gk5MTWrVqhQ8++ADWOnKNOnWMRIVIeJ/Q2ga1stQhAuoPamWtQ6RtUCtLHSLyIA/yIA/yIA9jPUxBYCOwyMTC8uXLsWbNGnzzzTe4evUqli9fjk8++QRff/21haxNgzp1jPA9ofVlKfENTF1ZSnwDU1+WEnmQB3mQB3mQhyU9TEVga2ORiYXTp09j2LBhGDx4MFq0aIGXXnoJAwYMQHJyskWcTYU6dUZg6ITmk3ZuKDANpZ0bCkw+aefkQR7kQR7kQR6W8jAVSz5+LS4u1pgqK7W3t2fPnkhMTMT169cBAH/99RdOnTqFgQMHmuxnCahTZyS6TmiWOkK6ApNvHSFdgclSR4g8yIM8yIM8yMPcHsnpOTrX44tAYIHHrwJ5py4gIAAikUg5xcfHa23DggULMGbMGISEhMDe3h5dunTBnDlzMG7cOJP9LAHVqeOJrpo76kEYEuiJ5PRc5jpC6kEIgHdhSAXqQRgVIkZ6ZiFzYUjyIA/yIA/yIA9zedjKKjGwV4hJdeqOREfA1c6OaV1DlNbU4Nmk88jKytJol1AohFBY33fr1q3497//jU8//RQdO3ZEamoq5syZgxUrVmDixIlmbZs5oE4dT/QVUiwsqcSJi/cBAO7ODugd6stURwhQBSYA5sKQgDwwT13KRnFZFQCgT5gfcx0h8lBBHnLIQwV5qCAPOeShoq5HWJALvJt5mtSpO9qzm0U6df1On+PdroCAACxYsAAzZ85Uzlu2bBl+/vlnpKenm7Vt5sC8R4sgCIIgCMIMCGxsILAx7ygx1u2VlZXBps46tra2kMksX6fPGGhMnYkobjt7uQnRs6MEZZXVzNlA6rfPjalDpLh9Ln91iwRebkKmOkTkQR7kQR7kQR7m9Dibnst7fV1YQ0mTIUOG4MMPP8SBAwdw+/Zt7N69GytWrMCIESNM9rME1KkzgbqDWn08nJjTvOsOamWtQ1R3UKuPhxNTHSLyIA/yIA/yIA9ze5SUVxlc1xDWUHz466+/xksvvYTXX38d7du3x7x58/Dqq6/igw8+MNnPEtCYOp7UHVOnL0uJbwaTviwlPhlM+rKU+GYwkQd5kAd5kAd5mNvjzr0HaOHf3KQxdSf7dbfImLqnj/5pVLseB+hOnREYCjo+hRkNBZ2hKy5DQcenwCR5kAd5kAd5kIelPEzFGh6/Pm5Qp44RvldR+gKTbx0hXYHJ9ypKX2CSB3mQB3mQB3lY0sNUBAIbZbKE2SZB0+720ONXnihuB28/fBESn2a8T+S6J/+tbClzHSH1IG7pK+JdGFJB3SAGwByQ5EEe5EEe5EEefD30lQEzhGLd0wN6w9XezI9fq2vQ8/dTTfbxK3XqeKI4yQ7+kY7+UW2YrkwUgVlTKz/UxtQRUq9DZGcrYCoMCagCs+Cfqy0vNyHzFRZ5qCAPOeShgjxUkIecJ9nDHJ26Pwc+bZFOXfeDJ5tsp65p34e0AG39PZhvNXu6CeEtclL+3NJXxLxf9XW8RU7M4xXs7WwQEqj6RRAS6EkeWtrEF/KQQx4qyEMFecghD9OgMXXsUKeOkfM38pjq9wDyq6ScgjJIvJxhZytgrkOkuEqysxVA4uWMnIIypjpEgOJdfPJX0Lg7OyA5PZc8yIM8yIM8yKNBPIzB7OPpLFDM2Npo2nYWwM2Jf/0eQHM8Q3R7MXMdorrjGaLbi5kLTKqPy+gd6oveob5MdYjIgzzIgzzIgzyM9TAWulPHDnXqGIkMEfM+obVlKfFJV1egK0uJpcCktiwlPunq5EEe5EEe5EEepnqYAnXq2KFOHSN8T2h9aed8AtNQ2jmfwNSXdk4e5EEe5EEe5GFJD1OhTh071KkzAkMnNJ86QvoCk28dIX2ByaeOEHmQB3mQB3mQhyU8btxlG7enDXknzNxj6qhTR2hB1wnNtzAkoD0w+QakAm2ByVIYkjzIgzzIgzzIw9we1+9K9e6bDwIb87/3tal36qhOHU901dxRDyJvkRNyCsqY6wgpgshZaA8AKKusZq4jpPhlIPFyRr60nKnAJXmQB3mQB3mQhzk9/D1t0K1jC5Pq1KWOHQA3B3umdQ1RUlWN8F9+pzp1DcWJEycwZMgQ+Pn5QSAQYM+ePXqXP3bsGAQCQb0pJydHY7lVq1ahRYsWcHR0RHR0NJKTk83SXsWVSk0tp0w7Zy0M6ekmRFSIGMVlVSguq0JUiJi5jlC7AE9lunpNLcdc4JI8yIM8yIM8yMNcHm382TwI82B1nbpHjx6hc+fOWLVqFdN6165dQ3Z2tnJq3ry58rNt27Zh7ty5WLRoES5cuIDOnTsjNjYWeXl5ZmnzrWzVbeZ8aTnzoNHqGhnSM1XjD9IzC5nqEAHyq7V8abnWNvGFPOSQhwryUEEecshDBXmoMNVDG1Snjh2rsxs4cCCWLVuGESNGMK3XvHlzSCQS5WSj9sWtWLEC06ZNw+TJk9GhQwesXbsWzs7O2LBhg8ntVR8DMSg6iDkbSP22dZ8wP/QJ82OqQwRojoEYFB3EXIeIPMiDPMiDPMjDnB7J6TmGVzQAZb+yY3WdOmMJDw+Hr68v/vWvf+GPP/5Qzq+qqsL58+cRExOjnGdjY4OYmBicOXNG5/YqKytRXFysMdWl7qBW1jRvbYNaWeoQAdoHtbLUISIP8iAP8iAP8jC3h5uTg8F1DUGdOnYe+06dr68v1q5di//+97/473//i4CAADzzzDO4cOECACA/Px+1tbUQi8Ua64nF4nrj7tSJj4+HSCRSTgEBARqf68pS4huY+rKU+AamviwlvoFJHuRBHuRBHuRhbo/IELHO9fhCj1/Zeezt2rVrh1dffRURERHo2bMnNmzYgJ49e+KLL74wabtxcXGQSqXKKSsrS/mZobRzQ4HJJ+3cUGDySTs3FJjkQR7kQR7kQR6W8jAVulPHzmPfqdNGVFQU/v77bwCAt7c3bG1tkZubq7FMbm4uJBKJzm0IhUK4u7trTIC8oCKfOkK6ApOljpCuwGSpI6QrMPnWQyIP8iAP8iAP8jDGw1ToTh07Vl2nTiAQYPfu3Rg+fDjTev/617/g5uaGXbt2AQCio6MRFRWFr7/+GgAgk8kQGBiIWbNmYcGCBby2qaibs+W3v9C1fQDvE1k9CKNCxEjPLORdGFKBehCGBHoiOT2XuY6QehACYA5I8iAP8iAP8iAPvh66arvyQbFu2vThFqlT12HdniZbp87qOnWlpaXKu2xdunTBihUr0K9fP3h5eSEwMBBxcXG4d+8efvzxRwDAypUrERwcjI4dO6KiogLr16/H119/jd9//x39+/cHIC9pMnHiRHz77beIiorCypUrsX37dqSnp9cba6cLxUl27sptRHQIYnKqrpHh1KVsFJdVAQD6hPkx1xEqLKnEiYv3AQDuzg7oHerLfHtbEZgAjLrCIg8V5KGCPOSQhwryUPGkepijU3f11RFwE5q5U1dZjfbf7m6ynTq7xm5AXc6dO4d+/fopf547dy4AYOLEidi0aROys7ORmZmp/Lyqqgpvv/027t27B2dnZ4SFheHw4cMa2xg9ejQePHiAhQsXIicnB+Hh4UhISODdoSMIgiAIomGxxOPSpv741ersnnnmGXAcV2/atGkTAGDTpk04duyYcvn58+fj77//Rnl5OR4+fIijR49qdOgUzJo1C3fu3EFlZSWSkpIQHR1tVPuu35Uy1e9R3D6Xv7pFAi83IVMdIkB1+9zLTYieHSUoq6xmqkMEaN4+N6YOEXmQB3mQB3mQhzEexmINiRItWrTQ+taqmTNnWsjaNKyuU2fttPUX8T6h6w5q9fFwYqpDBNQf1Orj4cRUhwioP6iVtQ4ReZAHeZAHeZCHMR6mYA2JEmfPntV4W9WhQ4cAACNHjrSEsslQp46RNv78TmhdWUosBSZ1ZSmxFJjUlaXENzDJgzzIgzzIgzyM8TAVgY0l7taxtcHHx0fjbVX79+9Hq1at0LdvX8tImwh16ozA0AltKO2cT2AaSjvnE5iG0s7JgzzIgzzIgzws5WHN1H1jVGWl4TufVVVV+Pnnn/HKK69AILDOenfUqTMSXSc03zpC+gKTbx0hfYHJt44QeZAHeZAHeZCHuT3OpufqXI8vlhxTFxAQoPHWqPj4eIPt2bNnD4qKijBp0iST3SyF1ZU0sVZ0pWern/wtfUW8C0MqqBvEAHgXhlRQN4hvZUuZ6yGRB3mQB3mQB3mYyyPnwUOMigkzqaTJ32+PhZvQ9HfIqlNSWYXWn/+CrKwsjXYJhUIIhfqPeWxsLBwcHPC///3PrG0yJ9Sp44m+mjvq9XvsbAVMhSEBVWAW/HO15eUmZCoMCagCs6ZW/nUaUw+JPOSQhwryUEEecshDBXmoqOvRKcAFLfybm9Spuznv/yzSqWv12Rbmdt25cwctW7bErl27MGzYMLO2yZzQ41cz0NJXpPy/t8iJuTCkvZ0NQgJVARQS6MlcGNLTTQhvkZPWNvGFPOSQhwryUEEecshDBXmoMNVDG9aQ/apg48aNaN68OQYPHmyylyWhTp2JKK6S7GwFkHg5I6egjDkbqLCkUvnqFndnBySn5zLVIQLkV0k5BWWQeDnDzlbAXIeIPMiDPMiDPMjDXB437pqeFWsNdeoA+atFN27ciIkTJ8LOzure2aABdepMoO54huj2YuY0b/XxDL1DfdE71JepDhGgOZ4hur2YuQ4ReZAHeZAHeZCHOT2u35Xy2r9eBDaAjZkn1pomAA4fPozMzEy88sorpjtZGOrUGYmuLCWW+j3aspRY6hAB2rOUWOoQkQd5kAd5kAd5mNujrT/7I9x6WOIunRF36gYMGACO49C2bVvTnSwMdeqMwFDaOZ/A1Jd2zjcw9aWd8wlM8iAP8iAP8iAPS3i08WdLtNCGQGBjkakp07TtLADfOkL6ApNPHSFDgcmnjpC+wCQP8iAP8iAP8rCkh8ko7qyZe2rCUKeOkbPpubxPZG2BybcwJKA7MPkWhgS0ByZrQJIHeZAHeZAHeRjjYQrWlP36uEB16niiqJuz/fBFxES1ZTqRFUEk8XJGvrScqTAkoHlV5C1yQk5BGXMdIcUvA2ehPQCgrLKaOSDJgzzIgzzIgzz4eOir7WoIxbqZS6fD3dG8deqKK6oQuHCdUe16HGjaXVYLENGmOfOVSbsAT2Wad00tx1wYUnHFVVPLKdPOWQtDeroJERUiRnFZFYrLqhAVIiYP8iAP8iAP8mgQD6MQCOTZqmad6PErocb1u0VM9XsA+VVOvrRc+fOtbPZUb/V18qXlzHWIqmtkSM9Ujc1IzywkDy1t4gt5yCEPFeShgjzkkIdpWEuduscJ6tQxUlLOv34PoDkGYlB0EHMdIkBzDMSg6CDmOkTqt9/7hPmhT5gfUx0i8iAP8iAP8iAPYz2IhoM6dYxEhUh4n9DaBrWy1CEC6g9qZa1DpG1QK0sdIvIgD/IgD/IgD2M9TMLchYcVUxOmadtZAL4ntL4sJb6BqStLiW9g6stSIg/yIA/yIA/ysKSHqQgEAotMTRnq1BmBoROaT9q5ocA0lHZuKDD5pJ2TB3mQB3mQB3lYysNkrOQ1YY8TTdvOgug6oVnqCOkKTL51hHQFJksdIfIgD/IgD/IgD3N7JKfn6FyPL5QowQ7VqeOJrpo76kEYEuiJ5PRc5jpC6kEIgHdhSAXqQRgVIkZ6ZiFzYUjyIA/yIA/yIA9zedjKKjGwV4hJderufTYH7k7mLZ1SXF6Jp+atbLJ16qhTxxN9hRQLSypx4uJ9AIC7swN6h/oy1RECVIEJgLkwJCAPzFOXslFcVgUA6BPmx1xHiDxUkIcc8lBBHirIQw55qKjrERbkAu9mnqZ16la8ZZlO3dwvmmynzq6xG0AQBEEQBFEXgcAGAjOPgTP39qyNpm3XAChuO3u5CdGzowRlldXM2UDqt8+NqUOkuH0uf3WLBF5uQqY6RORBHuRBHuRBHub0OJuey3t9ndgILDM1YahTZwJ1B7X6eDgxp3nXHdTKWoeo7qBWHw8npjpE5EEe5EEe5EEe5vYoKa8yuK4hBDY2FpmaMk3bzoLoylJiqd+jK0uJb2DqylJiKTBJHuRBHuRBHuRhbo+oEInO9XgjEFhmasJQp84IDKWd8wlMQ2nnhgLTUNo5n8AkD/IgD/IgD/KwlIfJ2Ags8EYJ6tQ1KCdOnMCQIUPg5+cHgUCAPXv2GFzn2LFj6Nq1K4RCIVq3bo1NmzbVW2bVqlVo0aIFHB0dER0djeTkZKPax7eOkL7A5FtHSFdg8q0jpC8wyYM8yIM8yIM8LOlhMnSnjhmr69Q9evQInTt3xqpVq3gtn5GRgcGDB6Nfv35ITU3FnDlzMHXqVPz222/KZbZt24a5c+di0aJFuHDhAjp37ozY2Fjk5eUxty85PYf3iawtMPkGpIK6gclSGBLQHpisAUke5EEe5EEe5GGMB9GwWHWdOoFAgN27d2P48OE6l3nnnXdw4MABXL58WTlvzJgxKCoqQkJCAgAgOjoakZGR+OabbwAAMpkMAQEBmD17NhYsWMCrLYq6OQf/SEf/qDZMJ7IiCGpq5YfamDpC6nWI7GwFTIUhAdXVWcE/V1tebkLmgCQPFeQhhzxUkIcK8pDzJHvoq+1qCMW6Od++C3cnR6Z1DW67vAKSVz9ssnXqHvsu9pkzZxATE6MxLzY2FmfOnAEAVFVV4fz58xrL2NjYICYmRrmMNiorK1FcXKwxAUBbfw/mKxNPNyG8RU7Kn1v6ipjWr7uOt8iJebyCvZ0NQgJVvwhCAj3JQ0ub+EIecshDBXmoIA855GEiAhvLTIzcu3cP48ePR7NmzeDk5ITQ0FCcO3fOAsKm89h36nJyciAWizXmicViFBcXo7y8HPn5+aitrdW6TE6O7nfTxcfHQyQSKaeAgAAAwPkbeUz1ewD5VVJOQRkkXs6wsxUw1yFSXCXZ2Qog8XJGTkEZUx0iQPEuPvkraNydHZCcnkse5EEe5EEe5NEgHkYhsECNOsYxdYWFhejVqxfs7e1x8OBBpKWl4fPPP4enJ9vd0obise/UWYq4uDhIpVLllJWVBQBwc+JfvwfQHNQa3V7MXIeo7hiI6PZi5gKT6mMgeof6oneoL1MdIvIgD/IgD/IgD2M9jEXxRglzTywsX74cAQEB2LhxI6KiohAcHIwBAwagVatWFrI2jce+UyeRSJCbq1m5Ojc3F+7u7nBycoK3tzdsbW21LiOR6K6jIxQK4e7urjEBQGSImPcJrW1QK0sdIl2DWlkKTGob1MpSh4g8yIM8yIM8yMNYD5OwgjdK7Nu3D926dcPIkSPRvHlzdOnSBd99952FhE3nse/U9ejRA4mJiRrzDh06hB49egAAHBwcEBERobGMTCZDYmKichkW+J7Q+rKU+ASmoSwlPoGpL0uJPMiDPMiDPMjDkh4mY8ExdXXHzFdWane4desW1qxZgzZt2uC3337DjBkz8MYbb+CHH36wjLOJWF2nrrS0FKmpqUhNTQUgL1mSmpqKzMxMAPLHohMmTFAu/9prr+HWrVuYP38+0tPTsXr1amzfvh1vvfWWcpm5c+fiu+++ww8//ICrV69ixowZePToESZPnmxUGw2d0HzSzvUFJt+0c32BySftnDzIgzzIgzzIwxIeN+6yjdvTigXr1AUEBGiMm4+Pj9faBJlMhq5du+Kjjz5Cly5dMH36dEybNg1r16413c8CWF2n7ty5c+jSpQu6dOkCQN4h69KlCxYuXAgAyM7OVnbwACA4OBgHDhzAoUOH0LlzZ3z++edYv349YmNjlcuMHj0an332GRYuXIjw8HCkpqYiISGhXvIEC7pOaJY6QtoCk7WOkLbAZKkjRB7kQR7kQR7kYW6P63elevfNC7O/TeKfCUBWVpbGuPm4uDitTfD19UWHDh005rVv316jH2JNWHWdOmtCV80d9SDyFjkhp6CMuY6QIoichfYAgLLKauY6QopfBhIvZ+RLy5kLQ5IHeZAHeZAHeZjLw9/TBt06tjCpTl3uTx/D3dnMderKKiB+eQHvdv3f//0fsrKycPLkSeW8t956C0lJSTh9+rRZ22YOrO5O3eOG4kqlppZTpp2zFob0dBMiKkSM4rIqFJdVISpEzFxHqF2ApzJdvaaWYy5wSR7kQR7kQR7kYS6PNv5mKPlhBYkSb731Fv7880989NFH+Pvvv7FlyxasW7cOM2fONN3PAlCnzgzcylbdZs6XljMPGq2ukSE9UzX+ID2zkKkOESC/WsuXlmttE1/IQw55qCAPFeQhhzxUkIcKUz20IhBYIFGCrVMXGRmJ3bt345dffkGnTp3wwQcfYOXKlRg3bpzpfhaAOnUmoj4GYlB0EHM2kPpt6z5hfugT5sdUhwjQHAMxKDqIuQ4ReZAHeZAHeZCHOT2S03UX9+eNBRMlWHj++edx6dIlVFRU4OrVq5g2bZrpbhaCOnUmUHdQK2uat7ZBrSx1iADtg1pZ6hCRB3mQB3mQB3mY28PNycHguoT5oU6dkejKUuIbmPqylPgGpr4sJb6BSR7kQR7kQR7kYW6PyBDjq0sosWD2a1OladtZCENp54YCk0/auaHA5JN2bigwyYM8yIM8yIM8LOVhMlby+PVxgjp1jNy4y6+OkK7AZKkjpCswWeoI6QpMvvWQyIM8yIM8yIM8jPEwGQu+UaKpQnXqeKKom7Plt7/QtX0A7xNZPQijQsRIzyzkXRhSgXoQhgR6Ijk9l7mOkHoQAmAOSPIgD/IgD/IgD74eumq78kFZp27nV3B3cWJa1+C2H5VD/NIbRrXrcYA6dTxRnGTnrtxGRIcgpnWra2Q4dSkbxWVVAIA+YX7MdYQKSypx4uJ9AIC7swN6h/oy395WBCYAo66wyEMFeaggDznkoYI8VDypHmbp1P33a8t06l6c3WQ7dU37PiRBEARBEI8nj/nj18LCQhQUFAAAHjx4gF27duHKlSsW3Sd16hi5flfKVL9Hcftc/uoWCbzchEx1iADV7XMvNyF6dpSgrLKaqQ4RoHn73Jg6RORBHuRBHuRBHsZ4GM1jnCixfv16REREoFu3blizZg1GjBiBxMREjBkzBuvXr7fYfunxK0/UH7/eLZTxuv2sbVAry0BXQPugVpaBroD2Qa0sA13JgzzIgzzIgzxYPMzy+HXvWss8fh32msUfv4aFhSEpKQnl5eUIDAxERkYGfHx8IJVK0bdvX6Smplpkv3SnjpE2/vzq9+gKPpYCk7qCj6XApK7g41uHiDzIgzzIgzzIwxgPU+EEAotMDYGdnR2cnJzg5eWF1q1bw8fHBwAgEokgsGAbqFNnBIZOaENXU3wC09DVFJ/ANHQ1RR7kQR7kQR7kYSkPk7GCd78ai62tLSoqKgAAx48fV84vLS216H6pU2ckuk5ovrfH9QUm39vj+gKT721+8iAP8iAP8iAPc3ucTc/VuR5vHuNEicOHD0MolH9/IpFIOb+srAzr1q2z2H5pTB1PdI0PUD/5W/qKmMY7APWDGADTeAegfhDfypYy10MiD/IgD/IgD/Iwl0fOg4cYFRNm0pi67APfw93FmWldg9t+VAbfwVOabEkT6tTxRN+gT/X6PXa2AqbCkIAqMAv+udrychMyFYYEVIFZUyv/Oo2ph0QecshDBXmoIA855KGCPFTU9egU4IIW/s1N69T9utEynbpBkxutU1dRUYGLFy8iLy8PMpnmI+qhQ4eavH16/GoGWvqqbq16i5yYC0Pa29kgJFAVQCGBnsyFIT3dhPAWqbKE1NvEF/KQQx4qyEMFecghDxXkocJUjyeBhIQEBAYGonv37hg6dCiGDx+unEaMGGGWfVCnzkQUV0l2tgJIvJyRU1DGnA1UWFKpfHWLu7MDktNzmeoQAfKrpJyCMki8nGFnK2CuQ0Qe5EEe5EEe5GEujxt3zZAV+xjXqdPG7NmzMXLkSGRnZ0Mmk2lMtbW1ZtkHdepMoO54huj2YuY0b/XxDL1DfdE71JdXuro66uMZotuLeaerkwd5kAd5kAd5WMLj+l0pr/3rxcbGMlMjkZubi7lz50IsFltsH9SpMxJdWUos9Xu0ZSmx1CECtGcpsdQhIg/yIA/yIA/yMLdHW3/2R7h1eZzr1GnjpZdewrFjxyy6D0qU4Il6ooSTs6vBLCVDKeGG0s75pLbTPmgftA/aB+2D9mGN+zDHGyXuH9pskUQJv3+Na5REibKyMowcORI+Pj4IDQ2Fvb29xudvvPGGyfugTh1PFCdZ/sNCpN0t45V2rito+NYR0hc0fOsI6doX33pI5EEe5EEe5EEerB7m6NTdO/yLRTp1T8WMbZRO3ffff4/XXnsNjo6OaNasmcabJQQCAW7dumXyPujxKyNn03N51xHSdiudb0ACugtM8g1IQPutdJZfLORBHuRBHuRBHsZ6mEQTS5R49913sWTJEkilUty+fRsZGRnKyRwdOoDu1PFGceWw/fBFxES1ZTqRFUEk8XJGvrScqTAkoHlV5C1yQk5BGXMdIcUvA2eh/HZvWWU1c0CSB3mQB3mQB3nw8TDHnbq7idvh7mrmO3WlZfDvP6pR7tR5eXnh7NmzaNWqlcX2QXfqGIlo05z5yqRdgKcyzbumlmMuDKm44qqp5ZRp56yFIT3dhIgKEaO4rArFZVWIChGTB3mQB3mQB3k0iIdRWMGdusWLF0MgEGhMISEhRulMnDgR27ZtM2pdvlCnjpHrd4uY6vcA8qucfGm58udb2eyp3urr5EvLmesQVdfIkJ6pyqZKzywkDy1t4gt5yCEPFeShgjzkkIeJCAQWePcr++PXjh07Ijs7WzmdOnXKKJ3a2lp88skn6Nu3L2bPno25c+dqTObAKjt1q1atQosWLeDo6Ijo6GgkJyfrXHbTpk31etGOjo4ay3Ach4ULF8LX1xdOTk6IiYnBjRs3jGpbSTn/+j2A5hiIQdFBzHWIAM0xEIOig5jrEKnffu8T5oc+YX5MdYjIgzzIgzzIgzyM9TAWaylpYmdnB4lEopy8vb2N8rl06RK6dOkCGxsbXL58GSkpKcopNTXVqG3Wxeo6ddu2bcPcuXOxaNEiXLhwAZ07d0ZsbCzy8vJ0ruPu7q7Ri75z547G55988gm++uorrF27FklJSXBxcUFsbCwqKiqY2xcVIuF9Qmsb1MpShwioP6iVtQ6RtkGtLHWIyIM8yIM8yIM8jPUwCbPfpftngnzcnvpUWan7WNy4cQN+fn5o2bIlxo0bh8zMTKN0jh49qnM6cuSIUdusi9V16lasWIFp06Zh8uTJ6NChA9auXQtnZ2ds2LBB5zoCgUCjF61erZnjOKxcuRLvvfcehg0bhrCwMPz444+4f/8+9uzZw9w+vie0viwlvoGpK0uJb2Dqy1IiD/IgD/IgD/KwpIepcBBYZAKAgIAAiEQi5RQfH6+1DdHR0di0aRMSEhKwZs0aZGRk4Omnn0ZJSYlFnE3Fqjp1VVVVOH/+PGJiYpTzbGxsEBMTgzNnzuhcr7S0FEFBQQgICMCwYcNw5coV5WcZGRnIycnR2KZIJEJ0dLTebVZWVtbrySswdELzSTs3FJiG0s4NBSaftHPyIA/yIA/yIA9LeVgzWVlZkEqlyikuLk7rcgMHDsTIkSMRFhaG2NhY/PrrrygqKsL27duZ9xkfH6/1BtWGDRuwfPly5u1pw6o6dfn5+aitra33XjSxWIycnByt67Rr1w4bNmzA3r178fPPP0Mmk6Fnz564e/cuACjXY9kmID/46r34gIAAjc91ndAsdYR0BSbfOkK6ApOljhB5kAd5kAd5kIe5PZLTdf995QsnsLHIBMiHbalPQiG/bF4PDw+0bdsWf//9N7PPt99+qzVztmPHjli7di3z9rRhVXXq7t+/j6eeegqnT59Gjx49lPPnz5+P48ePIykpyeA2qqur0b59e4wdOxYffPABTp8+jV69euH+/fvw9fVVLjdq1CgIBAKd6cWVlZUaz9iLi4sREBBQr7aNehCGBHoiOT2XuY6QehAC4F0YUumsFoRRIWKkZxYyF4YkD/IgD/IgD/Iwl4etrBIDe4WYVKfuzsn9cHd1YVrX4LZLHyHo6eeNrlNXWlqKwMBALF68mPm1Xo6Ojrh69SqCg4M15t+6dQsdOnQwapx/XayqU1dVVQVnZ2fs3LkTw4cPV86fOHEiioqKsHfvXl7bGTlyJOzs7PDLL7/g1q1baNWqFVJSUhAeHq5cpm/fvggPD8eXX37Ja5v6CikWllTixMX7AAB3Zwf0DvVlqiMEqAITAHNhSEAemKcuZaO4rAoA0CfMj7mOEHmoIA855KGCPFSQhxzyUFHXIyzIBd7NPE3q1N0+dcAinboWvQfzbte8efMwZMgQBAUF4f79+1i0aBFSU1ORlpYGHx8fpn23adMGixYtwvjx4zXm//TTT1i0aJFZ3iphx7pCRkYGTp48iTt37qCsrAw+Pj7o0qULevToUa+UCCsODg6IiIhAYmKislMnk8mQmJiIWbNm8dpGbW0tLl26hEGDBgEAgoODIZFIkJiYqOzUFRcXIykpCTNmzDCpvQRBEARBWAb1x6Xm3CYLd+/exdixY/Hw4UP4+Pigd+/e+PPPP5k7dAAwbdo0zJkzB9XV1Xj22WcBAImJiZg/fz7efvtt5u1pg7fd5s2bERUVhVatWuGdd97Bnj17cPLkSaxfvx7PPfccxGIxXn/99XrlRFiZO3cuvvvuO/zwww+4evUqZsyYgUePHmHy5MkAgAkTJmgMaFy6dCl+//133Lp1CxcuXMD48eNx584dTJ06FYA8M3bOnDlYtmwZ9u3bh0uXLmHChAnw8/PTuBtoLIrbzl5uQvTsKEFZZTVzNpD67XNj6hApbp/LX90igZebkKkOEXmQB3mQB3mQhzk9zqbn8l5fJ1bwRomtW7fi/v37qKysxN27d7F161ajX/P173//G1OmTMHrr7+Oli1bomXLlpg9ezbeeOMNnYkarPDq1HXp0gVfffUVJk2ahDt37iA7Oxvnz5/HqVOnkJaWhuLiYuzduxcymQzdunXDjh07jG7Q6NGj8dlnn2HhwoUIDw9HamoqEhISlIkOmZmZyM7OVi5fWFiIadOmoX379hg0aBCKi4tx+vRpdOjQQbnM/PnzMXv2bEyfPh2RkZEoLS1FQkKCyXcW6w5q9fFwYk7zrjuolbUOUd1BrT4eTkx1iMiDPMiDPMiDPMztUVJeZXBdg1giScLMd/74sHDhQpw/fx4CgQDLly/HgwcP8Oeff+Kvv/5CQUEBFi5caLZ98RpT99tvvyE2NpbXBh8+fIjbt28jIiLC5MZZE3XH1OnLUuKbwaQvS4lPBpO+LCW+GUzkQR7kQR7kQR7m9rhz7wFa+Dc3aUzdrTOH4GbmMXUlpY/Qsse/jE6UMIZXXnkF+/fvh4ODA4YMGYJhw4bh2WefhYODg9n3xavLyrdDBwDNmjVrch26uhgKOj6FGQ0FnaErLkNBx6fAJHmQB3mQB3mQh6U8TMWSJU0akg0bNiAnJwe//PIL3Nzc8Oabb8Lb2xsvvvgifvzxRxQUFJhtX0Znv+bl5SEvLw8ymeYJFxYWZpaGWRvKbJy7ebic9YhX2rmuk55vHSFdy7LUEdK1LEs9JPIgD/IgD/IgDxYPfRUjDKFY92ZSItxcXZnWNURJaSlaRfdv0Dt12rh69Sr+97//Ye/evTh//jyioqIwdOhQjB07Fk899ZTR22Xu1J0/fx4TJ07E1atXoVhVIBCA4zgIBALU1tYa3RhrRnGSbT98ERKfZrzrCNU9+W9lS5nrCKkHZktfEe+AVFA3MAHw/sVCHuRBHuRBHuTB6mGOTt3fSUct0qlrHd2v0Tt16jx48AD79u3Dvn378PTTT2PevHlGb4u5U9e5c2dlBqxYLIagTiZJUFCQ0Y2xZhQn2cE/0tE/qg1THSFFYNbUyg+1MXWE1OsQ2dkKmApDAqrALPjnNrqXm5CpwCVAHuqQhxzyUEEeKshDzpPsYY5O3Y3kYxbp1LWJesaqOnXmhPnh8q1bt/DJJ58gOjoaLVq0QFBQkMbU1Gnr78FcGNLTTQhvkZPy55a+Iub9qq/jLXJiHq9gb2eDkEDVL4KQQE/y0NImvpCHHPJQQR4qyEMOeZhGUxlTp86sWbPMOoauLsx2/fv3x19//WWJtjwWnL+Rx1S/B5BfJeUUlEHi5Qw7WwFzHSLFVZKdrQASL2fkFJQx1SECFO/ik7+Cxt3ZAcnpueRBHuRBHuRBHg3i8SSjeBc9AGzZsgWlpaUAgNDQUGRlZZl1X8xvlFi/fj0mTpyIy5cvo1OnTrC3t9f4fOjQoWZrnDXi5iTPBuJ7+7ruQFXFrfQ/03J43YbXNlBV/VY6n9vwdcdlAMCfaTnkQR6N5vH0sJMGtn7T4P71c9fwIjo48t9eT9z3QR7kYUkPY+EgAAe2YsF8ttnQhISEoFmzZujVqxcqKiqQlZWFwMBA3L59G9XV1WbdF/OdujNnzuCPP/7AkiVLMHLkSAwfPlw5jRgxwqyNs0YiQ8S8CzNqyzzik66uQFfmEUuBSW1ZSnzS1cmDPCztYa08qd8HeZCHJTxMoak8fi0qKsKOHTsQEREBmUyGQYMGoW3btqisrMRvv/2G3FwzvH3jH5jtZs+ejfHjxyM7OxsymUxjaqqZr+rwPaH1pZ3zCUxDaed8AlNf2jl5kEdjelg7T9r3QR7kYQkPU+EEAotMDU11dTWioqLw9ttvw8nJCSkpKdi4cSNsbW2xYcMGBAcHo127dmbZF3On7uHDh3jrrbeUr+16EjF0QvOpI6QvMPnWEdIXmHzqCJEHeTSWx+PAk/R9kAd5mNvjxl3T41zx+NXcU0Pj4eGB6OhozJ07F1VVVSgvL0evXr1gZ2eHbdu2obCwEN9//71Z9sXcqXvhhRdw9OhRs+z8cUbXCc1SGFJbYLIUhgS0ByZLgUvyII/G8HhceFK+D/IgD3N7XL8r1btvPjSVx6/37t3De++9B6FQiJqaGkRERODpp59GVVUVLly4AIFAgN69e5tlX8x16j788EOsXLkSgwcPRmhoaL1EiTfeeMMsDbM2dNXcUQ8ib5ETcgrKmOsIKYLIWSg/lmWV1cwDUBW/DCRezsiXljMVuCQP8mhoj6mzLvNuQ0Nzcu/T9eY19e+DPMjD3B7+njbo1rGFSXXqLl9Itkiduk5doxqtTp2npydOnDiBq1evYsKECZBIJMjNzUVUVBSOHz9u8vaZO3XBwcG6NyYQ4NatWyY3yhrRV0ixukaGX5PuAAAkXs6Ibs/+aPpBUTlOX8kBAPTsKIGPh5OBNeqTdDUXOQVlAIBB0UHMdYTIQwV5qLCEh+Hs18ZDW6cOaNrfByvkoYI85NT1aP+Uk8nFhy9dOAc3NzN36kpKEdq1W6N26v766y8EBgbCzc0Nf/31F5ydnXH8+HGMHj3a5O0z34fMyMjQOTXVDp0hbmWrbjPnS8uZB41W18iQnqkaf5CeWchUhwiQX63lS8u1tokv5CGHPFRYg4e1QN+HHPJQQR4qLBHnTWVMnToXL16Ev78/APkbuOzt7SGRSMzSoQOM6NTpIjs7G5988om5NvfYoD4GYlB0EHM2kPpt6z5hfugT5scrXV0d9TEQg6KDeKerkwd5NJbH40ZT/z7IgzzM7ZGcnsN7fV3Is1XNPaaucTt1AQEBsLGRd70uX76MgIAAs26f+fHrK6+8onX+nTt3kJycjJKSErM0zNrQ9vhV26BWloGqupZlGaiqa1mWAbfkQR4N7fGf900tLmw56j5+fRK+D/IgD3N7JCbfwMBeISY9fk1NSYGbmxvTuoYoKSlBeJcuTfbdr8yduroFhmtra3Hr1i1cvXoVq1evxquvvmrWBloLdTt1+k56PoFpaBk+gWloGT6BSR7k0Rgez774h9b1rAH1Tt2T8n2QB3mY2+NhQRG8m3ma1KlLSU21SKeuS3h4o3Tq5s6dq3W+QCCAo6MjWrdujWHDhsHLy8vofTB36nTx4Ycf4tSpUzh48KA5Nmd1qHfqsqW1Bk92fUHH92pMX9DxvRrTF3R8gpY8yMMSHo9DosST9H2QB3mY20NfcqEhFOteSPnLIp26rl06N0qnrl+/frhw4QJqa2uVxYavX78OW1tbhISE4Nq1axAIBDh16hQ6dOhg1D7MNqZu7NixOHbsmLk2Z7XcuMvvtrSu+j0st9d1FZhkub2uq8Ak39vr5EEelvCwdp6074M8yMMSHoQmw4YNQ0xMDO7fv4/z58/j/PnzuHv3Lv71r39h7NixuHfvHvr06YO33nrL6H2Y7U7d7t278emnn+L06dPm2JzVobhy2PLbX+jaPoD3iawehFEhYqRnFvIuDKlAPQhDAj2RnJ7LXEdIPQgBMAckeZCHOT2s+U7d+m86PXHfB3mQh7k9zHOn7hJczXynrrSkBF27hDbKnbqnnnoKhw4dqncX7sqVKxgwYADu3buHCxcuYMCAAcjPzzdqH8ydOm3PhHNzc7F3714MHjwYTz31lHL+ihUrjGqUNaI4yRJOp+MpiTfTurUyDg+KylErkx/qZu6OcHSwZdpGRVUtHhZXAABsbQTw8XCCrY08i8fGRoAOQYafwatX8zfmCqu6RoZTl7JRXFYFAOgT5sdU4BKQ/4I5cfE+AMDd2QG9Q32Z6yGRh5zH2cOaO3Xz5vs/cd+HOuSh4nHxSLtTAJlM959yfX8/+FJUWolHFTUAABdHO3i46j+WpSUl6NE52KRO3fmUyxbp1EV06WR0p+7jjz9GXFwc3nzzTaxcuZJpXVdXV+zfvx/PPPOMxvxjx45hyJAhKCkpwa1btxAeHo7i4mLmtgGAHesKKSkpWudHRkYiLy8PeXl5AOQD/5oi3iJHdApuxrROdY0Mp4qz8ahCHpSt/ERG/XK5l/8IgPyXS4cgL+Uvl8sZD5m2RRAEQTQdZDJO798lfX8/+HItqxAP/+mctpC4GeycFhfb6/2cD5aoK2fK9s6ePYtvv/0WYWFhRq0/bNgwvPLKK/j8888RGRmp3Oa8efMwfPhwAEBycjLatm1rdBuZx9QdPXqU13TkyBGjG2XNXL8rZarfo7h9Ln91iwRebkKmOkSA6va5l5sQPTtKUFZZzVSHCNC8fW5MHSLyIA9LeFgjT/L3QR7kYQkPY7Gm4sOlpaUYN24cvvvuO3h6GjeO8Ntvv0X//v0xZswYBAUFISgoCGPGjEH//v2xdu1aAEBISAjWr19v1PYBMyZKPCm09RfxPqHrDmr18XDSOvhVH3UHtfp4OGkd/KqPuoNadQ1+JQ/yaEgPa+VJ/T7Igzws4WEKluzUFRcXa0yVlfqP58yZMzF48GDExMQY7ePq6orvvvsODx8+REpKClJSUvDw4UOsW7cOLi4uAIDw8HCEh4cbvQ9eY+qee+45LF68GN27d9e7XElJCVavXg1XV1fMnDnT6EZZI4pn/AfX74WDZzNUC51gX1kO+8oKrctzEKDKxRUyWxs4PCqFbW0tr8/UqbW1RZWLK2xqZXB4VAoBOK2fcVeuomrhR+YV1oOtk/xawKO9G3za+QAAvNoFwqltawBAdYv2eOAlT9e+XykBAGQVOuP+A/n6eXkVKMiXv2OwtOgRykvlx7CyrAI11dUAgJpq+dgNWU0tOE7+i4fTM2aEIAiiLoJ/xo0JBPLfWTZ2trCzl486srO3h9DZEQDg5OoIVw/5H1Uvb2c0by6f7yf/9YYAzzL4CeVvSPApuAb721cBAOXX/0bBtUwAwINrD1B0VV58v7ac7TVdpmL/0UI4+Us05vH9+1H3M3WqhY46/9bp+wwAHpU9wsCpw0waU5d0Id0iY+qiu4bUm79o0SIsXrxY6zpbt27Fhx9+iLNnz8LR0RHPPPMMwsPDmcfUNQS8xtSNHDkSL774IkQiEYYMGYJu3brBz88Pjo6OKCwsRFpaGk6dOoVff/0VgwcPxqeffmrpdjcaJa/OhbNAnuRQA6Bc/+IAgGojP1Pn8XxbJkEQBGFpqv+zVO/fEn1/P/j8bdH3t07XZ2Wc9psVLFhyTF1WVpZGZ1Mo1D7OPSsrC2+++SYOHToER0dHk/efmJiIxMRE5OXlQSbT7Pxv2LDB5O3z6tRNmTIF48ePx44dO7Bt2zasW7cOUqn85b0CgQAdOnRAbGwszp49i/bt25vcKIIgCIIgnmws2alzd3fndQfx/PnzyMvLQ9euXZXzamtrceLECXzzzTeorKyErS2/ahZLlizB0qVL0a1bN/j6+lokoZR39qtQKMT48eMxfvx4AIBUKkV5eTmaNWsGe3vTs1wIgiAIgiAUWEP2a//+/XHp0iWNeZMnT0ZISAjeeecd3h06AFi7di02bdqEl19+makNLBidKCESiSCRSCzSoVu1ahVatGgBR0dHREdHIzk5We/yO3bsQEhICBwdHREaGopff/1V43OO47Bw4UL4+vrCyckJMTExuHHjhtnbTRAEQRCEeeAgAMeZeWLs1Lm5uaFTp04ak4uLC5o1a4ZOnToxbauqqgo9e/ZkWocVq8t+3bZtG+bOnYtFixbhwoUL6Ny5M2JjY5X17+py+vRpjB07FlOmTEFKSgqGDx+O4cOH4/Lly8plPvnkE3z11VdYu3YtkpKS4OLigtjYWFRUaE9yIAiCIAiicZFBYJGpsZg6dSq2bNli0X0wFx+2NCtWrMC0adMwefJkAPLblQcOHMCGDRuwYMGCest/+eWXeO655/Dvf/8bAPDBBx/g0KFD+Oabb7B27VpwHIeVK1fivffew7BhwwAAP/74I8RiMfbs2YMxY8Y0nBxBEARBELywhsev2jD2PfcVFRVYt24dDh8+jLCwsHpPOs3xFi6r6tRVVVXh/PnziIuLU86zsbFBTEwMzpw5o3WdM2fO1Ht1WWxsLPbs2QMAyMjIQE5OjkZtGZFIhOjoaJw5c0Znp66yslKjbo2xr+wgCIIgCIIdxSNTc2+zsbh48aKyBp3600TAfG/hsqpOXX5+PmprayEWizXmi8VipKena10nJydH6/I5OTnKzxXzdC2jjfj4eCxZsqTe/NiCC3B3d69XGFL9tV91izXqom5hSMVrW/Rtuy669qVr23WxhIejnQ3c/tn2vX+2/VyY+rad/pkAoJnVejSV74M8yIM8WDxKtHi4AGgl/2+rVrgm6SHfV3fVvlpZnUfjfh/n0+4AHVvo3PeTyNGjRy2+D+YxdRMnTsSJEycs0RarIi4uDlKpVDllZWUpPzMUNHwqbusLGns7G16Vw/UFv6eb0GDlcPIgD/IgD/IgD0t4tPE37lVa6nCwxFslmjbMnTqpVIqYmBi0adMGH330Ee7du2e2xnh7e8PW1ha5ubka83NzcyGRSLSuI5FI9C6v+Jdlm4C8hIuijo16PRu+V0H6ApPPVZChwORzNacvMMmDPMiDPMiDPCzpYSpmz3y1wONcQ8ydOxePHj1S/l/fZA6YO3V79uzBvXv3MGPGDGzbtg0tWrTAwIEDsXPnTlRX830/gnYcHBwQERGBxMRE5TyZTIbExET06NFD6zo9evTQWB4ADh06pFw+ODgYEolEY5ni4mIkJSXp3KY+zqbn8j6RtQUm39vagO7A5Ht7HtAemKwBSR7kQR7kQR7kYYyHKVjy3a8NRUpKirJvpHjfq7YpNTXVLPvj9e5XfVy4cAEbN27E+vXr4erqivHjx+P1119HmzZtjNretm3bMHHiRHz77beIiorCypUrsX37dqSnp0MsFmPChAl46qmnEB8fD0Be0qRv3774+OOPMXjwYGzduhUfffQRLly4oKwhs3z5cnz88cf44YcfEBwcjPfffx8XL15EWloa79d+KN5Ft/3wRcREtWU6kRVBJPFyRr60nFdAqqMeRN4iJ+QUlPEKSHUUvwychfJsm7LKauaAJA/yIA/yIA/y4OOh+JtpyrtfE89mwtWVbV1DlJYWo39koFHtMieKrpe53yphUp267OxsHDp0CIcOHYKtrS0GDRqES5cuoUOHDvjiiy+M2ubo0aPx2WefYeHChQgPD0dqaioSEhKUiQ6ZmZnIzs5WLt+zZ09s2bIF69atQ+fOnbFz507s2bNHoyjg/PnzMXv2bEyfPh2RkZEoLS1FQkKCUe9xi2jTnPnKpF2AJyRezsgpKENNLccUkIDqiqumlkNOQRkkXs5MAQnIr7iiQsQoLqtCcVkVokLE5EEe5EEe5EEeDeJhDBwAmZmnxh5T9/3336NTp05wdHSEo6MjOnXqhPXr15tt+8yduurqavz3v//F888/j6CgIOzYsQNz5szB/fv38cMPP+Dw4cPYvn07li5danSjZs2ahTt37qCyshJJSUmIjo5Wfnbs2DFs2rRJY/mRI0fi2rVrqKysxOXLlzFo0CCNzwUCAZYuXYqcnBxUVFTg8OHDaNu2rVFtu363SOugUX0UllQiX6p65fGtbCnzftXXyZeW6xz8qovqGhnSM1VjM9IzC8lDS5v4Qh5yyEMFeaggDznkYRpNYUydOgsXLsSbb76JIUOGYMeOHdixYweGDBmCt956CwsXLjTLPpg7db6+vpg2bRqCgoKQnJyMc+fO4bXXXtO4jdmvXz94eHiYpYHWRkm57mwgbaiPgRgUHWQwq0kb6mMgBkUHGcxqqov67fc+YX7oE+anN6uJPMiDPMiDPMjDXB7G0hTG1KmzZs0afPfdd4iPj8fQoUMxdOhQxMfHY926dVi9erVZ9sHcqfviiy9w//59rFq1SllEry4eHh7IyMgwtW1WSVSIhPcJrW1QK590dXXqDmrlm66uQNugVj7p6uRBHuRBHuRBHqZ6mEJTu1NXXV2Nbt261ZsfERGBmpoas+yDuVP38ssvGzUWranA94TWl6XENzB1ZSnxDUx9WUrkQR7kQR7kQR6W9DCVpnan7uWXX8aaNWvqzV+3bh3GjRtnln2YlCjxpGLohOaTdm4oMA2lnRsKTD5p5+RBHuRBHuRBHpbyMBUZZ5mpMVEkSkydOhVTp05FaGgovvvuO9jY2JilZh116oxE1wnNUkdIV2DyrSOkKzBZ6giRB3mQB3mQB3mY2yM5XfdrOPnS1O7UXb58GV27doWPjw9u3ryJmzdvwtvbG127dsXly5fNUrPO5Dp1Twq6au6oB2FIoCeS03OZ6wipByEA3oUhFagHYVSIGOmZhcyFIcmDPMiDPMiDPMzlYSurxMBeISbVqdt/JgcuZq5T96i0GM/3kDR6nTpLQZ06nugrpFhYUokTF+8DANydHdA71JepjhCgCkwAzIUhAXlgnrqUjeKyKgBAnzA/5jpC5KGCPOSQhwryUEEecshDRV2PsCAXeDfzpE5dA2PX2A0gCIIgCIKoC8fJJ3NvszEpKirC999/j6tXrwIAOnTogClTpkAkEpll+zSmzkQUt5293ITo2VGCsspq5mwg9dvnxtQhUtw+l7+6RQIvNyFTHSLyIA/yIA/yIA9zepxNz+W9vi5kEFhkaizOnTuHVq1a4YsvvkBBQQEKCgrwxRdfoFWrVrhw4YJZ9kGdOhOoO6jVx8OJOc277qBW1jpEdQe1+ng4MdUhIg/yIA/yIA/yMLdHSXmVwXUN0dTq1L311lsYOnQobt++jV27dmHXrl3IyMjA888/jzlz5phlH9SpMxJdWUos9Xt0ZSnxDUxdWUosBSbJgzzIgzzIgzzM7REVItG5Hl8Uj1/NPTUW586dwzvvvAM7O9XINzs7O8yfPx/nzp0zyz6oU2cEhtLO+QSmobRzQ4FpKO2cT2CSB3mQB3mQB3lYysNUmlpJE3d3d2RmZtabn5WVBTc3N7Psgzp1jPCtI6QvMPnWEdIVmHzrCOkLTPIgD/IgD/IgD0t6mEpTKz48evRoTJkyBdu2bUNWVhaysrKwdetWTJ06FWPHjjXLPqikCU8UKdbbD1+ExKcZ7xO57sl/K1vKXEdIPYhb+op4F4ZUUDeIATAHJHmQB3mQB3mQB18PfWXADKFYd+eJfDibuaRJWWkxXurj3SglTaqqqvDvf/8ba9euRU1NDTiOg4ODA2bMmIGPP/4YQqHpdzepU8cTxUl28I909I9qw3RlogjMmlr5oTamjpB6HSI7WwFTYUhAFZgF/1xtebkJma+wyEMFecghDxXkoYI85DzJHubo1O04bplO3ci+/Dt1a9aswZo1a3D79m0AQMeOHbFw4UIMHDjQ+DaUleHmzZsAgFatWsHZ2dnobdWFHr8y0tbfg/lWs6ebEN4iJ+XPLX3Z69Gor+MtcmIer2BvZ4OQQNUvgpBAT/LQ0ia+kIcc8lBBHirIQw55mIY1lDTx9/fHxx9/jPPnz+PcuXN49tlnMWzYMFy5coXNRSbDhg0b8PzzzyMqKgr/93//h3fffRc7d+6EOe+tUaeOkfM38pjq9wDyq6ScgjJIvJxhZytgrkOkuEqysxVA4uWMnIIypjpEgOJdfPJX0Lg7OyA5PZc8yIM8yIM8yKNBPIzBGrJfhwwZgkGDBqFNmzZo27YtPvzwQ7i6uuLPP/9k8OAwdOhQTJ06Fffu3UNoaCg6duyIO3fuYNKkSRgxYgTjkdENdeoYcXPiX78H0BzPEN1ezFyHqO54huj2YuYCk+rjMnqH+qJ3qC9THSLyIA/yIA/yIA9jPYzFknXqiouLNabKSsMutbW12Lp1Kx49eoQePXrw9ti0aRNOnDiBxMREpKSk4JdffsHWrVvx119/4fDhwzhy5Ah+/PFHo4+TOtSpYyQyRMz7hNaWpcRSh0hXlhJLgUltWUosdYjIgzzIgzzIgzyM9TAFS2a/BgQEQCQSKaf4+Hid7bh06RJcXV0hFArx2muvYffu3ejQoQNvj19++QX/+c9/0K9fv3qfPfvss1iwYAE2b97MfHy0QZ06Rvie0PrSzvkEpqG0cz6BqS/tnDzIgzzIgzzIw5Ie1kxWVhakUqlyiouL07lsu3btkJqaiqSkJMyYMQMTJ05EWloa731dvHgRzz33nM7PBw4ciL/++oup/bqgTp0RGDqh+dQR0heYfOsI6QtMPnWEyIM8yIM8yIM8LOFx4y7buD1tWHJMnbu7u8akr5yIg4MDWrdujYiICMTHx6Nz58748ssveXsUFBRALBbr/FwsFqOw0PTjBVCnzmh0ndB8C0MC2gOTb0Aq0BaYLIUhyYM8yIM8yIM8zO1x/a5U7775YK1vlJDJZLzG4Cmora3VeDVYXWxtbVFTU2NyuwCqU8cbXTV31IPIW+SEnIIy5jpCiiByFtoDAMoqq5nrCCl+GUi8nJEvLWcqcEke5EEe5EEe5GFOD39PG3Tr2MKkOnU/JBbC2cXMdeoeFWNif0/e7YqLi8PAgQMRGBiIkpISbNmyBcuXL8dvv/2Gf/3rX7z2aWNjg4EDB+q8G1hZWYmEhATU1tYyuWjdl8lbeMJRXKnU1HLKtHPWwpCebkJEhYhRXFaF4rIqRIWImesItQvwVKar19RyzAUuyYM8yIM8yIM8zOXRxp/NQxvWUNIkLy8PEyZMQLt27dC/f3+cPXuWqUMHABMnTkTz5s01EjPUp+bNm2PChAmMR0c7uu8HEry5la26zZwvLUdhSSVzte70TNXz9PTMQni4CpmrjudLyzXaxPrLgTzkkIcK8lBBHnLIQwV5qKjn4W76PSNjOmF8tsnC999/b/I+N27caPI2+EJ36kxEfQzEoOgg5mwg9dvWfcL80CfMj6kOEaA5BmJQdBBzHSLyIA/yIA/yIA9zeiSn5/BeXxcyTmCRqSlDnToTqDuolTXNW9ugVpY6RID2Qa0sdYjIgzzIgzzIgzzM7eHm5GBwXUNYw+PXxw2r6tRxHIeFCxfC19cXTk5OiImJwY0bN/Sus3jxYggEAo0pJCREY5mKigrMnDkTzZo1g6urK1588UXk5uaa1FZdWUp8A1NflhLfwNSXpcQ3MMmDPMiDPMiDPMztERmiu4QHX6hTx45Vdeo++eQTfPXVV1i7di2SkpLg4uKC2NhYVFRU6F2vY8eOyM7OVk6nTp3S+Pytt97C//73P+zYsQPHjx/H/fv38cILLxjdTkNp54YCk0/auaHA5JN2bigwyYM8yIM8yIM8LOVhKhxn/rdJUKeugeA4DitXrsR7772HYcOGISwsDD/++CPu37+PPXv26F3Xzs4OEolEOXl7eys/k0ql+P7777FixQo8++yziIiIwMaNG3H69GmmF/IquHGXXx0hXYHJUkdIV2Cy1BHSFZh86yGRB3mQB3mQB3kY42Eqlnz3a1PFaurU3bp1C61atUJKSgrCw8OV8/v27Yvw8HCd1ZsXL16MTz/9FCKRCI6OjujRowfi4+MRGBgIADhy5Aj69++PwsJCeHh4KNcLCgrCnDlz8NZbb2ndbmVlpUZxweLiYgQEBGDLb3+ha/sA3ieyehBGhYiRnlnIuzCkAvUgDAn0RHJ6LnMdIfUgBMAckORBHuRBHuRBHnw9dNV25YNi3bUHpHAyc5268kfFeG2wce16HLCaTt3p06fRq1cv3L9/H76+vsr5o0aNgkAgwLZt27Sud/DgQZSWlqJdu3bIzs7GkiVLcO/ePVy+fBlubm7YsmULJk+eXK/6c1RUFPr164fly5dr3e7ixYuxZMmSevPPXbmNiA5BTG7VNTKcupSN4rIqAECfMD/mOkKFJZU4cfE+AMDd2QG9Q32Zb28rAhOAUVdY5KGCPFSQhxzyUEEeKp5UD3N06lbvt0yn7vXnm26nrtEev27evBmurq7Kqbq62qjtDBw4ECNHjkRYWBhiY2Px66+/oqioCNu3bzepfXFxcRov+83KyjJpewRBEARB8IcSJdhptE7d0KFDkZqaqpwU4+DqZqXm5uZCIpHw3q6Hhwfatm2Lv//+GwAgkUhQVVWFoqIipu0KhcJ6L/wFgOt3pUz1exS3z+WvbpHAy03IVIcIUN0+93ITomdHCcoqq5nqEAGat8+NqUNEHuRBHuRBHuRhjAfRcDRap87NzQ2tW7dWTh06dIBEIkFiYqJymeLiYiQlJaFHjx68t1taWoqbN28qH+FGRETA3t5eY7vXrl1DZmYm03YVtPUX8T6h6w5q9fFwYqpDBNQf1Orj4cRUhwioP6iVtQ4ReZAHeZAHeZCHMR6mQHfq2LGa7FeBQIA5c+Zg2bJl2LdvHy5duoQJEybAz88Pw4cPVy7Xv39/fPPNN8qf582bh+PHj+P27ds4ffo0RowYAVtbW4wdOxYAIBKJMGXKFMydOxdHjx7F+fPnMXnyZPTo0QPdu3dnbmcbf34ntK4sJZYCk7qylFgKTOrKUuIbmORBHuRBHuRBHsZ4mIq5y5kopqaM1XTqAGD+/PmYPXs2pk+fjsjISJSWliIhIQGOjo7KZW7evIn8/Hzlz3fv3sXYsWPRrl07jBo1Cs2aNcOff/4JHx8f5TJffPEFnn/+ebz44ovo06cPJBIJdu3aZXQ7DZ3QhtLO+QSmobRzPoFpKO2cPMiDPMiDPMjDUh6mQnfq2LGa7FdrR1smj7aTnqWOkK5lWeoI6VqWpY4QeZAHeZAHeZCHOT0Sk29gYK8Qk7Jfv9hlmezXt16g7FdCC3WvVFgCEtB+xcUSkID2Ky7WwpDkQR7kQR7kQR7m9CgprzK4riHoTh07dKeOJ/pq7qjX77GzFTAVhgRUV1wF/9xG93ITMhWGBFRXXDW18q/TmHpI5CGHPFSQhwrykEMeKshDRV2PTgEuaOHf3KQ7dZ/vtMydurdfojt1hB5a+oqU//cWOTEXhrS3s0FIoCqAQgI9mQtDeroJ4S1y0tomvpCHHPJQQR4qyEMOeaggDxWmemhDBgskSpjcKuuGOnUmorhKsrMVQOLljJyCMuZsoMKSSuWrW9ydHZCcnstUhwiQXyXlFJRB4uUMO1sBcx0i8iAP8iAP8iAPc3ncuMvmoQ2O4ywyNWWoU2cCdcdARLcXM6d5q4+B6B3qi96hvkx1iADNgarR7cXMdYjIgzzIgzzIgzzM6XH9rpTX/vVBY+rYoU6dkega1MpSv0fboFaWOkSA9swjljpE5EEe5EEe5EEe5vZo68/+CLcunAyQmXnimvjzV+rUGYGhLCU+gakvS4lvYOrLUuITmORBHuRBHuRBHpbwaOPPlmihDbpTxw516hjhm3auLzD5pJ0bCkw+aef6ApM8yIM8yIM8yMOSHqZCb5Rghzp1jJxNz+V9ImsLTJY6QroCk6WOkLbAZA1I8iAP8iAP8iAPYzwed+Lj4xEZGQk3Nzc0b94cw4cPx7Vr1xq7WTqhOnU8UdTN2X74ImKi2jKdyIogkng5I19azrswpAL1IPIWOSGnoIy5jpDil4Gz0B4AUFZZzRyQ5EEe5EEe5EEefDz01XY1hGLdZZuL4Ohs3lpyFWXFeG+cB+92PffccxgzZgwiIyNRU1OD//znP7h8+TLS0tLg4uJi1raZA7pTx0hEm+bMVybtAjyVad41tRxzYUjFFVdNLadMO2ctDOnpJkRUiBjFZVUoLqtCVIiYPMiDPMiDPMijQTyMgZNxFplYSEhIwKRJk9CxY0d07twZmzZtQmZmJs6fP28ha9OgTh0j1+8WMdXvAeRXOfnScuXPt7LZU73V18mXljPXIaqukSE9UzU2Iz2zkDy0tIkv5CGHPFSQhwrykEMepmHJMXXFxcUaU2Ulv2MilcqPpZeXl6W0TYI6dYyUlPOv3wNojoEYFB3EXIcI0BwDMSg6iLkOkfrt9z5hfugT5sdUh4g8yIM8yIM8yMNYD2OxZPZrQEAARCKRcoqPjzfYHplMhjlz5qBXr17o1KmTRd2NhTp1jESFSHif0NoGtbLUIQLqD2plrUOkbVArSx0i8iAP8iAP8iAPYz1MQSbjLDIBQFZWFqRSqXKKi4sz2J6ZM2fi8uXL2Lp1q8WcTYU6dYzwPaH1ZSnxDUxdWUp8A1NflhJ5kAd5kAd5kIclPUzFknfq3N3dNSahUP8YwVmzZmH//v04evQo/P39LeJrDqhTZwSGTmg+aeeGAtNQ2rmhwOSTdk4e5EEe5EEe5GEpD1OxhuLDHMdh1qxZ2L17N44cOYLg4GCTvSwJdeqMRNcJzVJHSFdg8q0jpCswWeoIkQd5kAd5kAd5mNsjOT1H53p8kXGcRSYWZs6ciZ9//hlbtmyBm5sbcnJykJOTg/LycsMrNwJUp44numruqAdhSKAnktNzmesIqQchAN6FIRWoB2FUiBjpmYXMhSHJgzzIgzzIgzzM5WErq8TAXiEm1amLW/fQInXq4qc3490ugUCgdf7GjRsxadIks7bNHFCnjif6CikWllTixMX7AAB3Zwf0DvVlqiMEqAITAHNhSEAemKcuZaO4rAoA0CfMj7mOEHmoIA855KGCPFSQhxzyUFHXIyzIBd7NPE3q1C1Ylw9HJzN36sqL8fF0b6Pa9Thg19gNIAiCIAiCqAsnA2RmzsHgLF9er1GhMXUmorjt7OUmRM+OEpRVVjNnA6nfPjemDpHi9rn81S0SeLkJmeoQkQd5kAd5kAd5mNPjbHou7/V1wXGcRaamDHXqTKDuoFYfDyfmNO+6g1pZ6xDVHdTq4+HEVIeIPMiDPMiDPMjD3B4l5VUG1yXMD3XqjERXlhJL/R5dWUp8A1NXlhJLgUnyIA/yIA/yIA9ze0SFSHSuxxdLviasqUKdOiMwlHbOJzANpZ0bCkxDaed8ApM8yIM8yIM8yMNSHqbCyTiLTE0Z6tQxwreOkL7A5FtHSFdg8q0jpC8wyYM8yIM8yIM8LOlhKtZQfPhxg0qa8ESRYr398EVIfJrxPpHrnvy3sqXMdYTUg7ilr4h3YUgFdYMYAHNAkgd5kAd5kAd58PXQVwbMEIp153yZC6GZS5pUlhdj5ZviJlvShDp1PFGcZAf/SEf/qDZMVyaKwKyplR9qY+oIqdchsrMVMBWGBFSBWfDP1ZaXm5D5Cos8VJCHHPJQQR4qyEPOk+xhjk7dmytzLNKp+3KOpMl26qzq8euuXbswYMAANGvWDAKBAKmpqbzW27FjB0JCQuDo6IjQ0FD8+uuvGp9zHIeFCxfC19cXTk5OiImJwY0bN4xqY1t/D+ZbzZ5uQniLnJQ/t/QVMe9XfR1vkRPzeAV7OxuEBKp+EYQEepKHljbxhTzkkIcK8lBBHnLIwzQ4mWWmpoxVdeoePXqE3r17Y/ny5bzXOX36NMaOHYspU6YgJSUFw4cPx/Dhw3H58mXlMp988gm++uorrF27FklJSXBxcUFsbCwqKiqY23j+Rh5T/R5AfpWUU1AGiZcz7GwFzHWIFFdJdrYCSLyckVNQxlSHCFC8i0/+Chp3Zwckp+eSB3mQB3mQB3k0iIcxWMO7Xx83rPLx6+3btxEcHIyUlBSEh4frXXb06NF49OgR9u/fr5zXvXt3hIeHY+3ateA4Dn5+fnj77bcxb948AIBUKoVYLMamTZswZswYXm1Sf/xaayPkffu67qBW1gGm2ga18h0oq6DuPgEwj6sgD/IgD/IgD/Lg62GOx68zP7tvkcevq+b50eNXa+XMmTOIiYnRmBcbG4szZ84AADIyMpCTk6OxjEgkQnR0tHIZFiJDxLwLM2oLHpY6RLqylFgKTGr7JcBSh4g8yIM8yIM8yMNYD1OQyTiLTE2Zx75Tl5OTA7FYrDFPLBYjJydH+blinq5ltFFZWYni4mKNCeBfmFHf1RCfwDSUds4nMPVd1ZEHeZAHeZAHeVjSw1SopAk7jdap27x5M1xdXZXTyZMnG6spWomPj4dIJFJOAQEBys8MndB8bm/rC0y+dYT0BSaf2/TkQR7kQR7kQR6W8Lhxl23cnjY4zgLFh5t4r67ROnVDhw5FamqqcurWrZtR25FIJMjN1XxxcG5uLiQSifJzxTxdy2gjLi4OUqlUOWVlZWl8ruuEZhmvoC0w+QakAm2ByTLugjzIgzzIgzzIw9we1+9K9e6bD5wFkiSaeqeuSSRKlJWV4X//+59yXs+ePREWFqaRKDFv3jy8/fbbAOSDMJs3b25UokTdwZXqQeQtckJOQRlzHSFFEDkL7QEAZZXVzHWEFL8MJF7OyJeWMxW4JA/yIA/yIA/yMKeHv6cNunVsYVKixLQPM+HgaN5khqqKYnz3biAlSjQEBQUFSE1NRVpaGgDg2rVrSE1N1Rj7NmHCBMTFxSl/fvPNN5GQkIDPP/8c6enpWLx4Mc6dO4dZs2YBAAQCAebMmYNly5Zh3759uHTpEiZMmAA/Pz8MHz7c5DYrrlRqajll2jlrYUhPNyGiQsQoLqtCcVkVokLEzHWE2gV4KtPVa2o55gKX5EEe5EEe5EEe5vJo48/mQZgHq+rU7du3D126dMHgwYMBAGPGjEGXLl2wdu1a5TKZmZnIzs5W/tyzZ09s2bIF69atQ+fOnbFz507s2bMHnTp1Ui4zf/58zJ49G9OnT0dkZCRKS0uRkJAAR0dHs7T7VrbqNnO+tJx50Gh1jQzpmarxB+mZhUx1iAD51Vq+tFxrm/hCHnLIQwV5qCAPOeShgjxUmOqhDbOPp/tnaspY5eNXa0TX49fGeq+eOnXHQDxO7wckD/IgD/Igj6bnkfPgIUbFhJn0+PWVpXcs8vh1w8IgevxK1KfuoFbWNG9tg1pZ6hAB2ge1stQhIg/yIA/yIA/yMLeHm5ODwXUNQXfq2KFOnZHoylLiG5j6spT4Bqa+LCW+gUke5EEe5EEe5GFuj8gQsc71+ML9k61q7qkpQ506IzCUdm4oMPmknRsKTD5p54YCkzzIgzzIgzzIw1IepiKTWeKtEiY3y6qhTh0jN+7yqyOkKzBZ6gjpCkyWOkK6ApNvPSTyIA/yIA/yIA9jPEzFWu7UnThxAkOGDIGfnx8EAgH27NljflkzQYkSPFEM3Nzy21/o2j6A94msHoRRIWKkZxYyDYQFNIMwJNATyem5zHWE1IMQAHNAkgd5kAd5kAd58PXQlVzIB8W64/9zEw6ObkzrGqKqogQ/f9SKqV0HDx7EH3/8gYiICLzwwgvYvXu3WUqiWQLq1PFEcZKdu3IbER2CmNatrpHh1KVsFJdVAQD6hPkx1xEqLKnEiYv3AQDuzg7oHerLfHtbEZgAjLrCIg8V5KGCPOSQhwryUPGkepijUzduwd8W6dRt/ri10dmvAoHAqjt1do3dAIIgCIIgiLrIIH+1l7m3Ccg7juoIhUIIhWydZWuExtQxcv2ulFeatwLF7XP5q1sk8HIT8kpXV0dx+9zLTYieHSUoq6zmla6ujvrtc5Z0dfIgD/IgD/IgD1M8jMWSJU0CAgIgEomUU3x8vMV9GgLq1DHS1l/E+4SuO6jVx8OJqQ4RUH9Qq4+HE1MdIqD+oFbWOkTkQR7kQR7kQR7GeJiCJRMlsrKyIJVKlZP660cfZ6hTx0gbf34ntK4sJZYCk7qylFgKTOrKUuIbmORBHuRBHuRBHsZ4mApn9nImqjt17u7uGlNTePQKUKfOKAyd0IbSzvkEpqG0cz6BaSjtnDzIgzzIgzzIw1IeRMNDnToj0XVC860jpC8w+dYR0heYfOsIkQd5kAd5kAd5mNvjbHquzvX4Yi2vCSstLUVqaipSU1MBABkZGUhNTUVmZqbJjuaGSprwRFd6tvrJ39ReyEwe5EEe5EEe5GGMR86DhxgVE2ZSSZOX5qTBXmjekibVlSXYubIDU7uOHTuGfv361Zs/ceJEbNq0yaztMxXq1PFEX80d9fo9drYCpsKQgCowC/652vJyEzIVhgRUgVlTK/86jamHRB5yyEMFeaggDznkoYI8VNT16BTgghb+zU3q1L34xmWLdOr++1Uno+vUWTv0+NUMtPQVKf/vLXJiLgxpb2eDkEBVAIUEejIXhvR0E8Jb5KS1TXwhDznkoYI8VJCHHPJQQR4qTPXQhvnf+yqfmjLUqTMRxVWSna0AEi9n5BSUMWcDFZZUKl/d4u7sgOT0XKY6RID8KimnoAwSL2fY2QqY6xCRB3mQB3mQB3mYy+PGXdOzYq3l3a+PE9SpM4G64xmi24uZ07zVxzP0DvVF71BfpjpEgOZ4huj2YuY6RORBHuRBHuRBHub0uH5Xymv/+rCWRInHCerUGYmuLCWW+j3aspRY6hAB2rOUWOoQkQd5kAd5kAd5mNujrT/7I9y6UKeOHerUGYGhtHM+gakv7ZxvYOpLO+cTmORBHuRBHuRBHpbwaOPPlmihDRlkkHFmntC06+dRp44RvnWE9AUmnzpChgKTTx0hfYFJHuRBHuRBHuRhSQ9T4WSWuFtnkaZaDdSpY+Rsei7vE1lbYPItDAnoDky+hSEB7YHJGpDkQR7kQR7kQR7GeJgCPX5lh+rU8URRN2f74YuIiWrLdCIrgkji5Yx8aTlTYUhA86rIW+SEnIIy5jpCil8GzkJ7AEBZZTVzQJIHeZAHeZAHefDx0Ffb1RCKdQe+cg72Dq5M6xqiuqoUBzd0ozp1hJyINs2Zr0zaBXgq07xrajnmwpCKK66aWk6Zds5aGNLTTYioEDGKy6pQXFaFqBAxeZAHeZAHeZBHg3gYg0wms8jUlKFOHSPX7xYx1e8B5Fc5+dJy5c+3stlTvdXXyZeWM9chqq6RIT1TNTYjPbOQPLS0iS/kIYc8VJCHCvKQQx5EQ0OdOkZKyvnX7wE0x0AMig5irkMEaI6BGBQdxFyHSP32e58wP/QJ82OqQ0Qe5EEe5EEe5GGsh7HQmDp2qFPHSFSIhPcJrW1QK0sdIqD+oFbWOkTaBrWy1CEiD/IgD/IgD/Iw1sMUOE5mkakpQ506Rvie0PqylPgGpq4sJb6BqS9LiTzIgzzIgzzIw5IepkJ36tihTp0RGDqh+aSdGwpMQ2nnhgKTT9o5eZAHeZAHeZCHpTxMxhIdOurUNRy7du3CgAED0KxZMwgEAqSmphpcZ9OmTRAIBBqTo6OjxjIcx2HhwoXw9fWFk5MTYmJicOPGDZPaquuEZqkjpCsw+dYR0hWYLHWEyIM8yIM8yIM8zO2RnJ6jcz2+mP1tEv9MTRmrqlP3008/ISMjA35+fpg2bRpSUlIQHh6ud51NmzbhzTffxLVr15TzBAIBxGKx8ufly5cjPj4eP/zwA4KDg/H+++/j0qVLSEtLq9cB1IWumjvqQRgS6Ink9FzmOkLqQQiAd2FIBepBGBUiRnpmIXNhSPIgD/IgD/IgD3N52MoqMbBXiEl16vqNOgE7M9epq6kqxdHtfZpsnTqr6tQpuH37NoKDg3l36ubMmYOioiKtn3McBz8/P7z99tuYN28eAEAqlUIsFmPTpk0YM2YMrzbpK6RYWFKJExfvAwDcnR3QO9SXqY4QoApMAMyFIQF5YJ66lI3isioAQJ8wP+Y6QuShgjzkkIcK8lBBHnLIQ0Vdj7AgF3g38zSpU/fMyGOwszdzp666FMd2PNNkO3VW9fjVWEpLSxEUFISAgAAMGzYMV65cUX6WkZGBnJwcxMTEKOeJRCJER0fjzJkzOrdZWVmJ4uJijYkgCIIgiIaBEiXYsWvsBphKu3btsGHDBoSFhUEqleKzzz5Dz549ceXKFfj7+yMnR/5cX/1xrOJnxWfaiI+Px5IlS+rNHzDqFOzsXQy06m9mD00yTVwf+NQM2yAPBeShgDzUIQ855KGAPFTUVD8yeRuWKEFCJU0sxObNm+Hq6qqcTp48adR2evTogQkTJiA8PBx9+/bFrl274OPjg2+//dak9sXFxUEqlSqnrKwsk7ZHEARBEAR/ZDJAJuPMPDW2lWVptDt1Q4cORXR0tPLnp556yizbtbe3R5cuXfD33/KrHYlEAgDIzc2Fr6+vcrnc3Fy94/WEQiGEQsu/244gCIIgiPpwMhk4M/fCzL09a6PR7tS5ubmhdevWysnJycks262trcWlS5eUHbjg4GBIJBIkJiYqlykuLkZSUhJ69Ohhln0SBEEQBGFeaEwdO1aVKFFQUIDU1FSkpaUBAK5du4bU1FSNsW8TJkxAXFyc8uelS5fi999/x61bt3DhwgWMHz8ed+7cwdSpUwHIy5vMmTMHy5Ytw759+3Dp0iVMmDABfn5+GD58eIP6EQRBEATBD2t6TdiqVavQokULODo6Ijo6GsnJyWa2NQ9W1anbt28funTpgsGDBwMAxowZgy5dumDt2rXKZTIzM5Gdna38ubCwENOmTUP79u0xaNAgFBcX4/Tp0+jQoYNymfnz52P27NmYPn06IiMjUVpaioSEBN416giCIAiCeDLZtm0b5s6di0WLFuHChQvo3LkzYmNjkZeX19hNq4dV1qmzRhR1c6JjD/DIfiUIgiCIJ5ea6kdI+m2wSXXqug88aPa/tzXVj/DnwYFM7YqOjkZkZCS++eYbAIBMJkNAQABmz56NBQsWmLV9pvLYlzRpKBR935qaskZuCUEQBEFYN4q/labcN6qpKjF7YkNtjbzUSt3as7qSI6uqqnD+/HmNYV82NjaIiYnRW+u2saBOHU8ePnwIADifOLKRW0IQBEEQjwcPHz6ESCRiWsfBwQESiQTnEkdZpE2urq4ICAjQmLdo0SIsXry43rL5+fmora3VWus2PT3dIu0zBerU8cTLywuAfEwf6wn6pFJcXIyAgABkZWU1ydexWAI6ZuzQMWODjhc7dMzYkUqlCAwMVP7tZMHR0REZGRmoqqqyQMvkdw8FAoHGvKZSwow6dTyxsZHnlIhEIgpqRtzd3emYMULHjB06ZmzQ8WKHjhk7ir+drDg6OlpFMqO3tzdsbW2Rm5urMT83N1dZB9easKrsV4IgCIIgCGvBwcEBERERGrVuZTIZEhMTrbLWLd2pIwiCIAiC0MHcuXMxceJEdOvWDVFRUVi5ciUePXqEyZMnN3bT6kGdOp4IhUIsWrSoyTx3bwjomLFDx4wdOmZs0PFih44ZO03pmI0ePRoPHjzAwoULkZOTg/DwcCQkJNRLnrAGqE4dQRAEQRBEE4DG1BEEQRAEQTQBqFNHEARBEATRBKBOHUEQBEEQRBOAOnUEQRAEQRBNgCe6U7d48WKEhITAxcUFnp6eiImJQVJSksH1Vq1ahRYtWsDR0RHR0dFITk7W+LyiogIzZ85Es2bN4OrqihdffLFe4cLHkerqarzzzjsIDQ2Fi4sL/Pz8MGHCBNy/f9/guk/qMdu1axcGDBiAZs2aQSAQIDU1ldd6O3bsQEhICBwdHREaGopff/1V43OO47Bw4UL4+vrCyckJMTExuHHjhgUMGh5D50pdnuRjBQAnTpzAkCFD4OfnB4FAgD179hhc59ixY+jatSuEQiFat26NTZs21VuG9Xt4XIiPj0dkZCTc3NzQvHlzDB8+HNeuXTO43pN8nq1ZswZhYWHK4ss9evTAwYMH9a7zJB+vRoV7gtm8eTN36NAh7ubNm9zly5e5KVOmcO7u7lxeXp7OdbZu3co5ODhwGzZs4K5cucJNmzaN8/Dw4HJzc5XLvPbaa1xAQACXmJjInTt3juvevTvXs2fPhlCyKEVFRVxMTAy3bds2Lj09nTtz5gwXFRXFRURE6F3vST5mP/74I7dkyRLuu+++4wBwKSkpBtf5448/OFtbW+6TTz7h0tLSuPfee4+zt7fnLl26pFzm448/5kQiEbdnzx7ur7/+4oYOHcoFBwdz5eXlFrSxPHzOFXWe5GOl4Ndff+XeffddbteuXRwAbvfu3XqXv3XrFufs7MzNnTuXS0tL477++mvO1taWS0hIUC7D+j08TsTGxnIbN27kLl++zKWmpnKDBg3iAgMDudLSUp3rPOnn2b59+7gDBw5w169f565du8b95z//4ezt7bnLly9rXf5JP16NyRPdqauLVCrlAHCHDx/WuUxUVBQ3c+ZM5c+1tbWcn58fFx8fz3GcvONjb2/P7dixQ7nM1atXOQDcmTNnLNf4RiI5OZkDwN25c0fnMnTMOC4jI4N3p27UqFHc4MGDNeZFR0dzr776KsdxHCeTyTiJRMJ9+umnys+Lioo4oVDI/fLLL2Ztd0Nj6Fypy5N8rLTBp1M3f/58rmPHjhrzRo8ezcXGxip/Zv0eHmfy8vI4ANzx48d1LkPnWX08PT259evXa/2Mjlfj8UQ/flWnqqoK69atg0gkQufOnXUuc/78ecTExCjn2djYICYmBmfOnAEAnD9/HtXV1RrLhISEIDAwULlMU0IqlUIgEMDDw0Pr53TM2Dlz5ozGsQCA2NhY5bHIyMhATk6OxjIikQjR0dGP9fHic67U5Uk9VqZg6JgZ8z08zkilUgDQ++J5Os9U1NbWYuvWrXj06JHO12TR8Wo8nvhO3f79++Hq6gpHR0d88cUXOHToELy9vbUum5+fj9ra2npVpMViMXJycgAAOTk5cHBwqNfJUV+mqVBRUYF33nkHY8eO1fmSazpm7OTk5Bg8Xop5upZ5HOFzrtTlST1WpqDrmBUXF6O8vNyo7+FxRSaTYc6cOejVqxc6deqkczk6z4BLly7B1dUVQqEQr732Gnbv3o0OHTpoXZaOV+PxxHTqNm/eDFdXV+V08uRJAEC/fv2QmpqK06dP47nnnsOoUaOQl5fXyK21DnQdM0CeNDFq1ChwHIc1a9Y0YiutB33HiyAI62PmzJm4fPkytm7d2thNsXratWuH1NRUJCUlYcaMGZg4cSLS0tIau1lEHZ6Yd78OHToU0dHRyp+feuopAICLiwtat26N1q1bo3v37mjTpg2+//57xMXF1duGt7c3bG1t62Vl5ubmQiKRAAAkEgmqqqpQVFSkcedJfZnHBV3HTNGhu3PnDo4cOaLzLh3wZB0zXceLFYlEYvB4Keb5+vpqLBMeHm7UPq0BPudKXZ7UY2UKuo6Zu7s7nJycYGtry/w9PI7MmjUL+/fvx4kTJ+Dv7693WTrPAAcHB7Ru3RoAEBERgbNnz+LLL7/Et99+W29ZOl6NxxNzp87NzU3ZeWvdujWcnJy0LieTyVBZWan1MwcHB0RERCAxMVFj+cTEROXYgoiICNjb22ssc+3aNWRmZuocf2CtaDtmig7djRs3cPjwYTRr1kzvNp6kY8b3HDNEjx49NI4FABw6dEh5LIKDgyGRSDSWKS4uRlJS0mN1vOrC51ypy5N6rEzB0DEz5nt4nOA4DrNmzcLu3btx5MgRBAcHG1yHzrP66PtbScerEWnsTI3GorS0lIuLi+POnDnD3b59mzt37hw3efJkTigUaqRpP/vss9zXX3+t/Hnr1q2cUCjkNm3axKWlpXHTp0/nPDw8uJycHOUyr732GhcYGMgdOXKEO3fuHNejRw+uR48eDepnCaqqqrihQ4dy/v7+XGpqKpedna2cKisrlcvRMVPx8OFDLiUlhTtw4AAHgNu6dSuXkpLCZWdnK5d5+eWXuQULFih//uOPPzg7Ozvus88+465evcotWrRIazkADw8Pbu/evdzFixe5YcOGNYlyAIbOFTpW9SkpKeFSUlK4lJQUDgC3YsUKLiUlRZmRvmDBAu7ll19WLq8oafLvf/+bu3r1Krdq1SqtJU0MxezjyowZMziRSMQdO3ZM43dYWVmZchk6zzRZsGABd/z4cS4jI4O7ePEit2DBAk4gEHC///47x3F0vKyJJ7ZTV15ezo0YMYLz8/PjHBwcOF9fX27o0KFccnKyxnJBQUHcokWLNOZ9/fXXXGBgIOfg4MBFRUVxf/75Z71tv/7665ynpyfn7OzMjRgxQuOP+OOKoiyHtuno0aPK5eiYqdi4caPW46V+fPr27ctNnDhRY73t27dzbdu25RwcHLiOHTtyBw4c0PhcJpNx77//PicWizmhUMj179+fu3btWgMYWR595wodq/ocPXpU6zmmOE4TJ07k+vbtW2+d8PBwzsHBgWvZsiW3cePGets1FLOPK7p+h6kfAzrPNHnllVe4oKAgzsHBgfPx8eH69++v7NBxHB0va0LAcRzXcPcFCYIgCIIgCEvwxIypIwiCIAiCaMpQp44gCIIgCKIJQJ06giAIgiCIJgB16giCIAiCIJoA1KkjCIIgCIJoAlCnjiAIgiAIoglAnTqCIAiCIIgmAHXqCIKwer7//nsMGDDA4vtJSEhAeHg4ZDKZxfdFEARhbqhTRxCEVVNRUYH3338fixYtsvi+nnvuOdjb22Pz5s0W3xdBEIS5oU4dQRBWzc6dO+Hu7o5evXo1yP4mTZqEr776qkH2RRAEYU6oU0cQRIPw4MEDSCQSfPTRR8p5p0+fhoODAxITE3Wut3XrVgwZMkRj3jPPPIM5c+ZozBs+fDgmTZqk/LlFixZYtmwZJkyYAFdXVwQFBWHfvn148OABhg0bBldXV4SFheHcuXMa2xkyZAjOnTuHmzdvGi9LEATRCFCnjiCIBsHHxwcbNmzA4sWLce7cOZSUlODll1/GrFmz0L9/f53rnTp1Ct26dTNqn1988QV69eqFlJQUDB48GC+//DImTJiA8ePH48KFC2jVqhUmTJgA9VdgBwYGQiwW4+TJk0btkyAIorGgTh1BEA3GoEGDMG3aNIwbNw6vvfYaXFxcEB8fr3P5oqIiSKVS+Pn5Gb2/V199FW3atMHChQtRXFyMyMhIjBw5Em3btsU777yDq1evIjc3V2M9Pz8/3Llzx6h9EgRBNBbUqSMIokH57LPPUFNTgx07dmDz5s0QCoU6ly0vLwcAODo6GrWvsLAw5f/FYjEAIDQ0tN68vLw8jfWcnJxQVlZm1D4JgiAaC+rUEQTRoNy8eRP379+HTCbD7du39S7brFkzCAQCFBYWGtxubW1tvXn29vbK/wsEAp3z6pYwKSgogI+Pj8F9EgRBWBPUqSMIosGoqqrC+PHjMXr0aHzwwQeYOnVqvbtk6jg4OKBDhw5IS0ur91ndR6a3bt0ySxsrKipw8+ZNdOnSxSzbIwiCaCioU0cQRIPx7rvvQiqV4quvvsI777yDtm3b4pVXXtG7TmxsLE6dOlVv/t69e7Fr1y7cvHkTH374IdLS0nDnzh3cu3fPpDb++eefEAqF6NGjh0nbIQiCaGioU0cQRINw7NgxrFy5Ej/99BPc3d1hY2ODn376CSdPnsSaNWt0rjdlyhT8+uuvkEqlGvMHDx6MTz75BB06dMCJEyewevVqJCcn46effjKpnb/88gvGjRsHZ2dnk7ZDEATR0Ag49Vx+giAIK2TkyJHo2rUr4uLiAMjr1IWHh2PlypVm3U9+fj7atWuHc+fOITg42KzbJgiCsDR0p44gCKvn008/haurq8X3c/v2baxevZo6dARBPJbQnTqCIB47LHWnjiAI4nGGOnUEQRAEQRBNAHr8ShAEQRAE0QSgTh1BEARBEEQTgDp1BEEQBEEQTQDq1BEEQRAEQTQBqFNHEARBEATRBKBOHUEQBEEQRBOAOnUEQRAEQRBNAOrUEQRBEARBNAGoU0cQBEEQBNEE+H+3XM5XkSsougAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = scene_charge.plot_structures_property(z=0, property=\"doping\")\n",
    "ax.set_xlim(-x_total, x_total)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b25851f2-c960-4f44-87be-f4fb17fa5f4a",
   "metadata": {},
   "source": [
    "### Boundary conditions\n",
    "Since we're interested in the response of the system for different applied voltages we'll need to solve the Heat-Charge problem at each of these voltages. \n",
    "\n",
    "First we deal with electric boundary conditions. For this case we apply [`VoltageBC`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.VoltageBC.html#tidy3d.VoltageBC) to both conductors. This BC requires the definition of a source. We'll be using [`DCVoltageSource`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DCVoltageSource.html#tidy3d.DCVoltageSource) which can accept and array of voltages. When an array is provided a parameter scan will be run and the returned data will have the provided voltage values as a separate dimension.\n",
    "\n",
    "Let's define forward bias values up to 5 V with a step of 0.5 V."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c39e40d0-ac86-455b-8e6d-f1dfb3653a6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# create BCs\n",
    "voltages = np.arange(0.0, 5.0, 0.5)\n",
    "\n",
    "bc_v1 = td.HeatChargeBoundarySpec(\n",
    "    condition=td.VoltageBC(source=td.DCVoltageSource(voltage=voltages)),\n",
    "    placement=td.StructureBoundary(structure=contact_p.name),\n",
    ")\n",
    "\n",
    "bc_v2 = td.HeatChargeBoundarySpec(\n",
    "    condition=td.VoltageBC(source=td.DCVoltageSource(voltage=0)),\n",
    "    placement=td.StructureBoundary(structure=contact_n.name),\n",
    ")\n",
    "\n",
    "boundary_conditions = [bc_v1, bc_v2]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd2dc46f",
   "metadata": {},
   "source": [
    "We next create thermal boundary conditions. \n",
    "We define two BCs: a temperature BC applied to the auxiliary Si structure; and convection boundary condition applied to the interface between the mediums air and SiO2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b67f48f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "bc_air = td.HeatChargeBoundarySpec(\n",
    "    condition=td.ConvectionBC(ambient_temperature=300, transfer_coeff=10 * 1e-12),\n",
    "    placement=td.MediumMediumInterface(mediums=[air.name, SiO2.name]),\n",
    ")\n",
    "\n",
    "bc_substrate = td.HeatChargeBoundarySpec(\n",
    "    condition=td.TemperatureBC(temperature=300),\n",
    "    placement=td.StructureStructureInterface(structures=[substrate.name, cladding.name]),\n",
    ")\n",
    "\n",
    "heat_bc = [bc_air, bc_substrate]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9aa6fbfe-4923-4d0c-ac54-da49f5406260",
   "metadata": {},
   "source": [
    "### Monitors\n",
    "Since we're interested in obtaining the free carrier distribution we'll add a [`SteadyFreeCarrierMonitor`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.SteadyFreeCarrierMonitor.html#tidy3d.SteadyFreeCarrierMonitor) to our Charge simulation. For visualization purposes we will also include a potential monitor, i.e., [`SteadyPotentialMonitor`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.SteadyPotentialMonitor.html#tidy3d.SteadyPotentialMonitor)\n",
    "\n",
    "Note that the below monitors have been defined with infinite size to cover the full domain. This will be later helpful when we interpolate carrier and temperature data onto the optics simulation domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c5a8e712-6f8a-4a09-a01b-1c6302f2e5b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "charge_mnt = td.SteadyFreeCarrierMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, td.inf, td.inf),\n",
    "    name=\"charge_mnt\",\n",
    "    unstructured=True,\n",
    ")\n",
    "\n",
    "potential_mnt = td.SteadyPotentialMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, td.inf, td.inf),\n",
    "    name=\"potential_mnt\",\n",
    "    unstructured=True,\n",
    ")\n",
    "charge_monitors = [charge_mnt, potential_mnt]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "decfe754",
   "metadata": {},
   "source": [
    "Since we're also interested in the temperature field we need to define a temperature monitor:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "03a149dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# set a temperature monitor\n",
    "temp_mnt = td.TemperatureMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, td.inf, td.inf),\n",
    "    name=\"temperature\",\n",
    "    unstructured=True,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a0a29e1-6e06-4792-96bf-cbdaab6e8bb1",
   "metadata": {},
   "source": [
    "### Heat-Charge simulation object\n",
    "When running Charge, we need to define the type of Charge simulation and some convergence settings. In the current case we set a relative tolerance of $1\\cdot 10^{-5}$ and an absolute tolerance of $5\\cdot 10^{10}$. The absolute tolerance may seem big though one should notice we have variables (electrons/holes) that take on values many orders of magnitude larger than the tolerance ($\\approx 10^{20}$).\n",
    "\n",
    "In the current case, we are going to run a **non isothermal DC** case which we can define the simulation with `SteadyChargeDCAnalysis`. In DC mode we can set the parameter `convergence_dv` which tells the solver to limit the size of the sweep, i.e., if we need to solve for a bias of 0 and 0.5 and we set `convergence_dv=0.1`, it will force the solver to go between 0 and 0.5 at intervals of 0.1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "69af9171-2ef0-4d78-a7f6-a36cce8d3f22",
   "metadata": {},
   "outputs": [],
   "source": [
    "convergence_settings = td.ChargeToleranceSpec(\n",
    "    rel_tol=1e-5, abs_tol=1e10, max_iters=200, ramp_up_iters=2\n",
    ")\n",
    "\n",
    "analysis_type = td.SteadyChargeDCAnalysis(\n",
    "    tolerance_settings=convergence_settings, convergence_dv=0.5\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32219873",
   "metadata": {},
   "source": [
    "The last element we need to define before we can run the heat simulation is the mesh which we build using Tidy3D function [`DistanceUnstructuredGrid()`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DistanceUnstructuredGrid.html#tidy3d.DistanceUnstructuredGrid).\n",
    "We will give this function 5 arguments:\n",
    "- `dl_interface`defines the grid size near the interface.\n",
    "- `dl_bulk`defines the grid size away from the interface.\n",
    "- `distance_interface` defines the distance from the interface until which `dl_interface` will be enforced.\n",
    "- `distance_bulk`defines the distance from the interface after which `dl_bulk` will be enforced.\n",
    "- `non_refined_structures` allows us to specify structures which will not be refined.\n",
    "- `mesh_refinements` allows us to specify an array of refinement regions.\n",
    "\n",
    "We'll use a spatial resolution of $0.005\\mu m$ to refine the semiconductor region."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "81fe4db2",
   "metadata": {},
   "outputs": [],
   "source": [
    "res = 0.005\n",
    "dl_min = h_slab / 3\n",
    "dl_max = 10 * dl_min\n",
    "\n",
    "refinement_region = td.GridRefinementRegion(\n",
    "    size=(2 * x_total, h_core, 0),\n",
    "    center=(0, h_core / 2, 0),\n",
    "    dl_internal=res,\n",
    "    transition_thickness=res * 10,\n",
    ")\n",
    "\n",
    "mesh = td.DistanceUnstructuredGrid(\n",
    "    dl_interface=dl_min,\n",
    "    dl_bulk=dl_max,\n",
    "    distance_interface=dl_min,\n",
    "    distance_bulk=4 * dl_max,\n",
    "    non_refined_structures=[substrate.name],  # do not refine near wafer\n",
    "    mesh_refinements=[refinement_region],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5be1e2d7-5ae5-464a-97b9-a131e08e6678",
   "metadata": {},
   "source": [
    "We now have all the required elements to define a Charge simulation object. Note that the simulation has 0 size in the $z$ direction. With this, we'll make sure that the simulation is 2D even if the structures themselves are not."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6b4526bf-7262-43fb-96fa-766ec9b9f0a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:31:59 CET </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Structure at </span><span style=\"color: #008000; text-decoration-color: #008000\">'structures[0]'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has bounds that extend       </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">exactly to simulation edges. This can cause unexpected behavior. If</span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">intending to extend the structure to infinity along one dimension, </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">use td.inf as a size variable instead to make this explicit.       </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:31:59 CET\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Structure at \u001b[0m\u001b[32m'structures\u001b[0m\u001b[32m[\u001b[0m\u001b[32m0\u001b[0m\u001b[32m]\u001b[0m\u001b[32m'\u001b[0m\u001b[31m has bounds that extend       \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mexactly to simulation edges. This can cause unexpected behavior. If\u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mintending to extend the structure to infinity along one dimension, \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31muse td.inf as a size variable instead to make this explicit.       \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Suppressed </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #800000; text-decoration-color: #800000\"> WARNING messages.                            </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Suppressed \u001b[0m\u001b[1;36m3\u001b[0m\u001b[31m WARNING messages.                            \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# build heat simulation object\n",
    "charge_sim = td.HeatChargeSimulation.from_scene(\n",
    "    scene=scene_charge,\n",
    "    monitors=charge_monitors + [temp_mnt],\n",
    "    analysis_spec=analysis_type,\n",
    "    center=center_sim,\n",
    "    size=(sim_width, h_cladding + h_box + 1, 0),\n",
    "    boundary_spec=boundary_conditions + heat_bc,\n",
    "    grid_spec=mesh,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb1d056c",
   "metadata": {},
   "source": [
    "Next let's visualize our simulation domain. \n",
    "In the upper plot we visualize the domain with the thermal conductivity superimposed to the structures. It can be seen that the semiconductor region has higher (darker) thermal conductivity. The boundary conditions can also be seen: the red line indicates the convection BC whereas the yellow line at the bottom indicates the temperature BC.\n",
    "\n",
    "The plot at the bottom shows the simulation structures of the Charge simulation along with the voltage BCs highlighted with a yellow line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "89b55627-97d8-4d9d-9faf-78cfa381129d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, figsize=(10, 5))\n",
    "charge_sim.plot_property(z=0, property=\"heat_conductivity\", monitor_alpha=0, ax=ax[0])\n",
    "charge_sim.plot(z=0, monitor_alpha=0, ax=ax[1])\n",
    "ax[1].set_xlim(-x_total, x_total)\n",
    "ax[1].set_ylim(-h_core, h_core)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "610bad05",
   "metadata": {},
   "source": [
    "Now we can run the Charge simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "94dab8af-3a97-41b7-8839-f39aeff4db1b",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:32:00 CET </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'modulator'</span> with resource_id                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'hec-62bd17de-0202-4a23-af5a-c8961fef0d35'</span> and task_type           \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'HEAT_CHARGE'</span>.                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:00 CET\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'modulator'\u001b[0m with resource_id                          \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'hec-62bd17de-0202-4a23-af5a-c8961fef0d35'\u001b[0m and task_type           \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'HEAT_CHARGE'\u001b[0m.                                                     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Tidy3D's HeatCharge solver is currently in the beta stage. Cost of \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>HeatCharge simulations is subject to change in the future.         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTidy3D's HeatCharge solver is currently in the beta stage. Cost of \n",
       "\u001b[2;36m             \u001b[0mHeatCharge simulations is subject to change in the future.         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "90f6e11d8888490aa68038f935618848",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:32:04 CET </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:04 CET\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.025\u001b[0m. Minimum cost depends on task     \n",
       "\u001b[2;36m             \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed  \n",
       "\u001b[2;36m             \u001b[0mFlexCredit cost after a simulation run.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:32:06 CET </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:06 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "06678d98beb8427ab3110a7489861724",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:32:10 CET </span>Loading simulation from charge_modulator.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:10 CET\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from charge_modulator.hdf5                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Structure at </span><span style=\"color: #008000; text-decoration-color: #008000\">'structures[0]'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has bounds that extend       </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">exactly to simulation edges. This can cause unexpected behavior. If</span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">intending to extend the structure to infinity along one dimension, </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">use td.inf as a size variable instead to make this explicit.       </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Structure at \u001b[0m\u001b[32m'structures\u001b[0m\u001b[32m[\u001b[0m\u001b[32m0\u001b[0m\u001b[32m]\u001b[0m\u001b[32m'\u001b[0m\u001b[31m has bounds that extend       \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mexactly to simulation edges. This can cause unexpected behavior. If\u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mintending to extend the structure to infinity along one dimension, \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31muse td.inf as a size variable instead to make this explicit.       \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Suppressed </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3</span><span style=\"color: #800000; text-decoration-color: #800000\"> WARNING messages.                            </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Suppressed \u001b[0m\u001b[1;36m3\u001b[0m\u001b[31m WARNING messages.                            \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Warning messages were found in the solver log. For more   </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">information, check </span><span style=\"color: #008000; text-decoration-color: #008000\">'SimulationData.log'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or use                     </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.download_log(task_id)'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                                       </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Warning messages were found in the solver log. For more   \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31minformation, check \u001b[0m\u001b[32m'SimulationData.log'\u001b[0m\u001b[31m or use                     \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.download_log\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31m.                                       \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "charge_data = web.run(charge_sim, task_name=\"modulator\", path=\"charge_modulator.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "480c839e-b70f-4d5d-99b9-3a5f119fe06e",
   "metadata": {},
   "source": [
    "### Solution visualization\n",
    "\n",
    "We can begin by examining the electron, hole, and potential distributions at a couple of applied biases:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "b8185535-3dea-43a9-b8d3-6c89ea2e6050",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/marc/Documents/tidy3D_python/tidy3d_local/lib/python3.12/site-packages/xarray/computation/apply_ufunc.py:818: RuntimeWarning: divide by zero encountered in log10\n",
      "  result_data = func(*input_data)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, ax = plt.subplots(3, 1, figsize=(10, 5))\n",
    "\n",
    "np.log10(charge_data[\"charge_mnt\"].holes.sel(z=0, voltage=voltages[-1])).plot(grid=False, ax=ax[0])\n",
    "ax[0].set_title(f\"Holes density - {voltages[-1]}V  - (cm$^-$$^3$)\")\n",
    "\n",
    "np.log10(charge_data[\"charge_mnt\"].electrons.sel(z=0, voltage=voltages[-1])).plot(\n",
    "    grid=False, ax=ax[1], vmax=8\n",
    ")\n",
    "ax[1].set_title(f\"Electron density - {voltages[-1]}V  - (cm$^-$$^3$)\")\n",
    "\n",
    "for ind in range(2):\n",
    "    ax[ind].set_xlabel(\"x (um)\")\n",
    "    ax[ind].set_ylabel(\"y (um)\")\n",
    "\n",
    "ax[2] = (\n",
    "    charge_data[\"potential_mnt\"]\n",
    "    .potential.sel(z=0, voltage=voltages[1])\n",
    "    .plot(grid=False, ax=ax[2], vmax=0.0)\n",
    ")\n",
    "ax[2].set_title(f\"Potential field - bias {voltages[1]:1.1f} V\")\n",
    "ax[2].set_xlabel(\"x (um)\")\n",
    "ax[2].set_ylabel(\"y (um)\")\n",
    "\n",
    "for ind in range(3):\n",
    "    ax[ind].set_xlim(-x_total, x_total)\n",
    "    ax[ind].set_ylim(0, h_core)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b427ba7",
   "metadata": {},
   "source": [
    "We can also explore the temperature field at two different applied biases:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0e1cff31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, ax = plt.subplots(2, 1, figsize=(10, 5))\n",
    "charge_data[\"temperature\"].temperature.sel(z=0, voltage=1).plot(ax=ax[0], grid=False)\n",
    "charge_data[\"temperature\"].temperature.sel(z=0, voltage=4.5).plot(ax=ax[1], grid=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14dbd4c9",
   "metadata": {},
   "source": [
    "We can further inspect how electrons and holes as well as the potential vary across the semiconductor at different biases by plotting the distribution along the coordinate $y=h\\_side/2$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "86f44b40",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, ax = plt.subplots(1, 3, figsize=(10, 4))\n",
    "for v in range(5):\n",
    "    electrons = charge_data[\"charge_mnt\"].electrons.sel(y=h_side / 2, z=0, voltage=v)\n",
    "    x_vals = electrons.coords.get(\"x\").values\n",
    "    e_vals = np.squeeze(electrons.values)\n",
    "    ax[0].semilogy(x_vals, e_vals, label=f\"v={v}V\")\n",
    "    ax[0].set_xlim(-x_total, x_total)\n",
    "\n",
    "    holes = charge_data[\"charge_mnt\"].holes.sel(y=h_side / 2, z=0, voltage=v)\n",
    "    x_vals = holes.coords.get(\"x\").values\n",
    "    h_vals = np.squeeze(holes.values)\n",
    "    ax[1].semilogy(x_vals, h_vals, label=f\"v={v}V\")\n",
    "    ax[1].set_xlim(-x_total, x_total)\n",
    "\n",
    "    potential = charge_data[\"potential_mnt\"].potential.sel(y=h_side / 2, z=0, voltage=v)\n",
    "    x_vals = potential.coords.get(\"x\").values\n",
    "    p_vals = np.squeeze(potential.values)\n",
    "    ax[2].plot(x_vals, p_vals, label=f\"v={v}V\")\n",
    "    ax[2].set_xlim(-x_total, x_total)\n",
    "\n",
    "for ax_ind in range(3):\n",
    "    ax[ax_ind].legend()\n",
    "    ax[ax_ind].set_xlabel(\"x (um)\")\n",
    "\n",
    "ax[0].set_ylabel(\"Electron Concentration (cm$^{-3}$)\")\n",
    "ax[1].set_ylabel(\"Hole Concentration (cm$^{-3}$)\")\n",
    "ax[2].set_ylabel(\"Potential (V)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39a69436",
   "metadata": {},
   "source": [
    "As it can be seen the majority carrier (holes) is dominated by the doping profile wheres the minority carrier (electrons) clearly changes with the different applied voltages. The potential varies roughly linearly along $x$ as a result of the hole concentration following the doping concentration.\n",
    "\n",
    "Similarly, we can check the temperature distribution along $y=h\\_side/2$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "4236f99d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for v in range(5):\n",
    "    temp = charge_data[\"temperature\"].temperature.sel(y=h_side / 2, z=0, voltage=v)\n",
    "    x_vals = temp.coords.get(\"x\").values\n",
    "    t_vals = np.squeeze(temp.values)\n",
    "    plt.plot(x_vals, t_vals, label=f\"v={v}V\")\n",
    "plt.xlabel(\"x (um)\")\n",
    "plt.ylabel(\"Temperature (K)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dcaf7359-b224-4acd-8d33-3036dd09ffe1",
   "metadata": {},
   "source": [
    "Whenever we run a charge simulation, Charge will output some device characteristics. These are not linked to any monitor but instead they are related to the whole device. For the current DC isothermal simulation we have the entry `steady_dc_current_voltage`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0d259303-a216-4eb5-bc21-7aca89b0774c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# let's plot the current as a function of the applied voltages\n",
    "_, ax = plt.subplots(1, 1)\n",
    "# since this is a 2D simulation the current is provided in A/um\n",
    "currents = np.abs(charge_data.device_characteristics.steady_dc_current_voltage.values)\n",
    "ax.plot(voltages, currents, label=\"current\")\n",
    "ax.set_xlabel(\"Bias (V)\")\n",
    "ax.set_ylabel(r\"Current (A/$\\mu$m)\")\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1c97b4d",
   "metadata": {},
   "source": [
    "## Perturbation mediums\n",
    "\n",
    "We next create perturbation materials. These include the necessary $k$ and $n$ perturbations to account for the effect of both temperature and carrier concentration.\n",
    "\n",
    "We can create a perturbed medium using `PerturbationMedium()` of Tidy3D. In this case, the permittivity of Si will change with charge and temperature; and the permittivity of SiO2 will only vary with temperature.\n",
    "It should be noted that a linear variation with temperature is considered, i.e., the temperature dependence of permittivity with temperature has been linearized at the given reference temperature.\n",
    "\n",
    "For the Si charge-induced variation, we will use the empirical relationships presented in `M. Nedeljkovic, R. Soref and G. Z. Mashanovich, \"Free-Carrier Electrorefraction and Electroabsorption Modulation Predictions for Silicon Over the 1–14- μm Infrared Wavelength Range,\" IEEE Photonics Journal, vol. 3, no. 6, pp. 1171-1180, Dec. 2011 ` which has been implemented in the class `NedeljkovicSorefMashanovich`.\n",
    "\n",
    "Note also that since the permittivity of the material is a function of wave frequency, we require a reference wavelength. A reference temperature must also be given for the same reason."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "dbe1034e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Perturbation models for Si\n",
    "perturbation_model = td.NedeljkovicSorefMashanovich(ref_freq=freq0)\n",
    "\n",
    "n_si, k_si = si_doped.optical.nk_model(frequency=td.C_0 / wvl_um)\n",
    "si_non_perturb = td.Medium.from_nk(n=n_si, k=k_si, freq=freq0)\n",
    "\n",
    "# temperature perturbation\n",
    "dn_si_heat = td.LinearHeatPerturbation(coeff=Si_dndT, temperature_ref=Tref)\n",
    "\n",
    "si_perturb = td.PerturbationMedium.from_unperturbed(\n",
    "    medium=si_non_perturb,\n",
    "    perturbation_spec=td.IndexPerturbation(\n",
    "        delta_n=perturbation_model.delta_n().updated_copy(heat=dn_si_heat),\n",
    "        delta_k=perturbation_model.delta_k(),\n",
    "        freq=freq0,\n",
    "    ),\n",
    "    name=\"Si_perturbed\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7fa2b7e9",
   "metadata": {},
   "source": [
    "The warning above is telling us that the perturbation model does not check whether the perturbed permittivity or conductivity are physical so it is up to us to check that (which we'll do below). Since this message is going to be repeated every time we create a perturbation we will temporarily set the logging level to \"ERROR\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "54ae53be",
   "metadata": {},
   "outputs": [],
   "source": [
    "td.config.logging_level = \"ERROR\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "9c09205b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Perturbation model for SiO2\n",
    "SiO2_perturbed = td.PerturbationMedium.from_unperturbed(\n",
    "    medium=SiO2.optical,\n",
    "    perturbation_spec=td.IndexPerturbation(\n",
    "        delta_n=td.ParameterPerturbation(\n",
    "            heat=td.LinearHeatPerturbation(coeff=SiO2_dndT, temperature_ref=Tref)\n",
    "        ),\n",
    "        freq=freq0,\n",
    "    ),\n",
    "    name=\"SiO2_perturbed\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11702aa1",
   "metadata": {},
   "source": [
    "## Combined Electric and Thermal Perturbations\n",
    "\n",
    "In order to reuse the scene we created for the non isothermal Charge simulation, we need to update the mediums of the structures. This can be done by looping through the structures of the scene and updating the medium accordingly as below.\n",
    "\n",
    "Note that since the perturbation models can't ensure that the resulting permittivity stays above 1 a warning is issued every time a structure is assigned a perturbed medium."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "5c5e99ef-61de-4e3b-bbf5-21138f8998ea",
   "metadata": {},
   "outputs": [],
   "source": [
    "# recreate scene with perturbation medium\n",
    "structs_perturbed = []\n",
    "for n, structure in enumerate(scene_charge.structures):\n",
    "    if structure.medium.name == \"Si\":\n",
    "        structs_perturbed.append(\n",
    "            structure.updated_copy(medium=si_perturb.updated_copy(name=f\"Si_perturbed_{n}\"))\n",
    "        )\n",
    "    elif structure.medium.name == \"SiO2\":\n",
    "        structs_perturbed.append(\n",
    "            structure.updated_copy(medium=SiO2_perturbed.updated_copy(name=f\"SiO2_perturbed_{n}\"))\n",
    "        )\n",
    "    elif structure.medium.optical is not None:\n",
    "        structs_perturbed.append(structure.updated_copy(medium=structure.medium.optical))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5158a16",
   "metadata": {},
   "source": [
    "With the structures now having perturbation mediums we can next update the scene and visualize."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "735c4aca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with log as consolidated_logger:\n",
    "    scene_perturbed = scene_charge.updated_copy(structures=structs_perturbed)\n",
    "    scene_perturbed.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43d1f834",
   "metadata": {},
   "source": [
    "Before we can apply thermal and carrier perturbations we need to generate a reference optic simulation object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "3c2946ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "grid_spec = td.GridSpec.auto(min_steps_per_wvl=50, wavelength=wvl_um)\n",
    "\n",
    "optic_sim = td.Simulation.from_scene(\n",
    "    scene=scene_perturbed,\n",
    "    center=center_sim,\n",
    "    size=(sim_width, h_cladding + h_box + 1, wvl_um),\n",
    "    run_time=1e-15,\n",
    "    grid_spec=grid_spec,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "988c5ca9-9d11-4683-9c0c-846bbfedb893",
   "metadata": {},
   "source": [
    "Now that we have the reference optical simulation we can create a list of perturbed optical simulations which we can do with `perturbed_mediums_copy()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "9d8b0e2a-3e1b-4599-9c41-07ad9fa9e6d0",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "perturbed_sims = []\n",
    "\n",
    "target_grid = optic_sim.grid.boundaries\n",
    "\n",
    "for n, v in enumerate(voltages):\n",
    "    psim = optic_sim.perturbed_mediums_copy(\n",
    "        electron_density=charge_data[\"charge_mnt\"].electrons.sel(voltage=v),\n",
    "        hole_density=charge_data[\"charge_mnt\"].holes.sel(voltage=v),\n",
    "        temperature=charge_data[\"temperature\"].temperature.sel(voltage=v),\n",
    "    )\n",
    "\n",
    "    perturbed_sims.append(psim)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05df7813",
   "metadata": {},
   "source": [
    "We can now verify that all perturbations have the real part of the permittivity greater than 1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "86bf3e92",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All perturbed permittivities are greater than 1\n"
     ]
    }
   ],
   "source": [
    "# Check that perturbed permittivity is physical\n",
    "sample_region = td.Box(\n",
    "    center=center_sim,\n",
    "    size=(sim_width, h_cladding + h_box, 0),\n",
    ")\n",
    "\n",
    "eps_gt_1 = []\n",
    "for psim in perturbed_sims:\n",
    "    eps = psim.epsilon(box=sample_region).isel(z=0, drop=True).data\n",
    "    eps_gt_1 = eps_gt_1 + (np.real(eps) > 1).tolist()\n",
    "\n",
    "if all(eps_gt_1):\n",
    "    print(\"All perturbed permittivities are greater than 1\")\n",
    "else:\n",
    "    print(\"Some perturbed permittivities are not physical!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15da5666-7463-4cfb-b036-2e1a78afb3fa",
   "metadata": {},
   "source": [
    "\n",
    "Now that we have created the perturbed simulation we can examine the change in permittivity due to these perturbations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "037be46b-851d-43b9-afd2-c79aff0f2359",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eps_reference = perturbed_sims[0].epsilon(box=sample_region).isel(z=0, drop=True)\n",
    "\n",
    "_, ax = plt.subplots(2, 1, figsize=(10, 5))\n",
    "for ax_ind, n in enumerate([4, 9]):\n",
    "    eps_doped = perturbed_sims[n].epsilon(box=sample_region).isel(z=0, drop=True)\n",
    "    eps_doped = eps_doped.interp(x=eps_reference.x, y=eps_reference.y)\n",
    "    eps_diff = np.abs(np.real(eps_doped - eps_reference))\n",
    "    eps_diff.plot(x=\"x\", ax=ax[ax_ind], vmax=0.15)\n",
    "\n",
    "    ax[ax_ind].set_xlabel(\"x (um)\")\n",
    "    ax[ax_ind].set_ylabel(\"y (um)\")\n",
    "\n",
    "    ax[ax_ind].set_title(f\"Bias: {voltages[n]:1.1f} V\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7bbe20f6",
   "metadata": {},
   "source": [
    "### Perturbation Mode Analysis\n",
    "\n",
    "Instead of running a full wave simulation we will compute the modes of the waveguide. \n",
    "This is a smaller computation that will also highlight the influence of the temperature field over the refraction coefficient. \n",
    "\n",
    "We will compute the waveguide modes on a plane centered around the core section of the device:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "9c4f32ce-750e-4b13-ae28-7d80bf401740",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_plane = td.Box(center=(0, h_core / 2, 0), size=(3, 2, 0))\n",
    "\n",
    "fig, ax = plt.subplots(1, 1)\n",
    "perturbed_sims[0].plot(z=0, ax=ax)\n",
    "mode_plane.plot(z=0, ax=ax, alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec9fece2",
   "metadata": {},
   "source": [
    "The next few lines create the mode simulation objects for each of the temperature and carrier fields and submits the computation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "efd01f06",
   "metadata": {},
   "outputs": [],
   "source": [
    "from tidy3d.plugins.mode import ModeSolver\n",
    "\n",
    "mode_solvers = {}\n",
    "\n",
    "for n, psim in enumerate(perturbed_sims):\n",
    "    name = \"psim\" + str(n)\n",
    "    mode_solvers[name] = ModeSolver(\n",
    "        simulation=psim,\n",
    "        plane=mode_plane,\n",
    "        mode_spec=td.ModeSpec(num_modes=1, precision=\"double\"),\n",
    "        freqs=[freq0],\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "127ba111-7e52-4b91-9412-c94c248e25cc",
   "metadata": {},
   "source": [
    "Run all mode solver simulations in a batch."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "955eb927-b556-47b1-90fc-f04c719899e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "02fd4bd6f06c4b1799279e44cbd7f787",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:33:21 CET </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span> tasks.                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:33:21 CET\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m10\u001b[0m tasks.                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:33:39 CET </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.040</span> for the whole batch.                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:33:39 CET\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.040\u001b[0m for the whole batch.                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after    \n",
       "\u001b[2;36m             \u001b[0mcompletion.                                                        \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8bea82c894584de59ddaabaf08150f67",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:34:04 CET </span>Batch complete.                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:34:04 CET\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_datas = web.Batch(simulations=mode_solvers, reduce_simulation=True).run()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11f8ef3b",
   "metadata": {},
   "source": [
    "And finally we can see the combined effect of both thermal and carrier density on the refraction index.\n",
    "\n",
    "In the following we're computing the electric power as $P_{electric}=V \\cdot i$. It is reminded here that since the Charge simulation was 2D the current has dimensions of $A/\\mu m$.\n",
    "\n",
    "Also note that we're setting the logging level back to \"WARNING\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "468f1b9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "td.config.logging_level = \"WARNING\"\n",
    "\n",
    "n_eff = np.array([md.n_complex.sel(f=freq0, mode_index=0) for md in mode_datas.values()])\n",
    "\n",
    "power_mw = np.array(voltages) * np.array(currents) * 1e3\n",
    "\n",
    "# plot n_eff\n",
    "_, ax = plt.subplots(1, 2, figsize=(10, 4))\n",
    "ax[0].plot(power_mw, np.real(n_eff), \".-\")\n",
    "ax[0].set_ylabel(r\"$\\mathbb{Re}(n_{eff}$)\")\n",
    "ax[0].set_xlabel(\"Power (mW / um)\")\n",
    "\n",
    "ax[1].plot(power_mw, np.imag(n_eff), \".-\")\n",
    "ax[1].set_ylabel(r\"$\\mathbb{Im}(n_{eff}$)\")\n",
    "ax[1].set_xlabel(\"Power (mW / um)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "789c0bb2-e30a-411a-b34a-20f75bd4ccd9",
   "metadata": {},
   "source": [
    "Based on the computed refractive index we can now compute both phase shift and loss over a waveguide length of 100 µm as a function of the input (heating) power. As it can be seen, we'd need to apply a heating power of about $\\approx 40mW$ in order to get a phase shift of $\\pi$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "d901b3cf-0de8-4cc9-87e6-574dac39c94e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wvg_l = 100\n",
    "phase_shift = 2 * np.pi / wvl_um * (np.real(n_eff) - np.real(n_eff[0])) * wvg_l\n",
    "intensity = np.exp(-4 * np.pi * np.imag(n_eff) * wvg_l / wvl_um)\n",
    "power_mw_per_100um = power_mw * 100\n",
    "\n",
    "_, ax = plt.subplots(1, 2, figsize=(10, 4))\n",
    "ax[0].plot(power_mw_per_100um, phase_shift / np.pi, \".-\")\n",
    "ax[0].axhline(y=1, color=\"k\", linestyle=\"--\")\n",
    "\n",
    "ax[0].set_xlabel(\"Power (mW)\")\n",
    "ax[0].set_ylabel(r\"Phase shift ($1/\\pi$)\")\n",
    "\n",
    "ax[1].plot(power_mw_per_100um, 10 * np.log10(intensity), \".-\")\n",
    "\n",
    "ax[1].set_xlabel(\"Power (mW)\")\n",
    "ax[1].set_ylabel(\"Output power (dB)\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Active photonic integrated circuit components"
  ],
  "description": "In this example we investigate the modulation of a silicon waveguide with an embedded doped silicon p++ - p - p++ junction inspired by the design presented in [Chuyu Zhong, Hui Ma, Chunlei Sun, Maoliang Wei, Yuting Ye, Bo Tang, Peng Zhang, Ruonan Liu, Junying Li, Lan Li, and Hongtao Lin, \"Fast thermo-optical modulators with doped-silicon heaters operating at 2 μm\", Opt. Express 29, 23508-23516 (2021)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-29-15-23508&id=453181). The primary modulation effect is due to heating occurring inside the waveguide as a potential difference is applied across the p++ - p - p++ junction. For calculation of current flowing through the device a third-party open-source software [devsim](https://devsim.org/) is used. Subsequent heat distribution and waveguide mode analysis is done with Tidy3D's heat and mode solvers.",
  "feature_image": "./img/doped_silicon_heater.png",
  "features": [
   "Mode analysis",
   "Heat",
   "Charge",
   "Perturbation medium"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "Tidy3D, FDTD, thermo-optic modulator",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  },
  "title": "How to model a thermo-optic modulator with a doped silicon heater using Tidy3D"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
