{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Shapes, layers, and photonic crystals" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "import numpy as np\n", "import legume\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Shapes and layers\n", "\n", "Shapes and layers are the basic building blocks of a simulation in `legume`. A layer can contain any number of shapes. A layer is the fundamental object for the plane-wave expansion, while a photonic crystal made up of a number of layers is the fundamental object for the guided-mode expansion. Initializing a `ShapesLayer` class requires one positional argument `lattice`, which is an instance of the `Lattice` object. Let's start by creating a lattice, a layer, and some shapes." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize a lattice (can be 'square', 'hexagonal', or defined by primitive vectors)\n", "lattice = legume.Lattice('hexagonal')\n", "\n", "# Initialize a layer with background permittivity 2\n", "layer = legume.ShapesLayer(lattice, eps_b=2) \n", "\n", "# Create a square and use the `add_shape` method to add it to the layer\n", "square = legume.Square(eps=10, x_cent=0, y_cent=0, a=0.3)\n", "layer.add_shape(square)\n", "\n", "# Create a circle and also add it to the layer \n", "circle = legume.Circle(eps=6, x_cent=0.5, y_cent=0.3, r=0.2)\n", "layer.add_shape(circle)\n", "\n", "# Use an in-built visualization method to plot the contours of the shapes we have so far\n", "legume.viz.shapes(layer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the shapes are repeated in a `hexagonal` pattern, following the way we initialized our `lattice`. The above plot shows the shapes, but not the permittivity distribution. To see that, we can use another built-in method. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAHrCAYAAADcyKqoAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAABHIElEQVR4nO3deXRU5f0/8PedPZNkJiRhsm+gQGRxCQWCWv22GqHi9m0LiN+IilSKiEBLhdqW6FdN9VSLS0GlClVAOS5YPbVBPFXEQpCA/LRCASWQfSWZrDOZ5f7+4DvTDJkkM8y9M5OZ9+ucew65c+/M55LJfObzPPd5HkEURRFERETDUIQ6ACIiGhmYMIiIyCdMGERE5BMmDCIi8gkTBhER+YQJg4iIfMKEQUREPmHCICIinzBhEBGRT5gwiIjIJ0wYREQj3GeffYabbroJ6enpEAQB7733nsfjoiiipKQE6enpiImJwbXXXotvvvnG79dhwiAiGuG6u7tx6aWX4oUXXvD6+FNPPYVnnnkGL7zwAg4ePIjU1FRcf/316Ozs9Ot1BE4+SEQUOQRBwM6dO3HrrbcCOFddpKenY8WKFXjooYcAAFarFSkpKXjyySdx3333+fzcKjkCDiWn04m6ujrEx8dDEIRQh0NEQSSKIjo7O5Geng6FIjgNKBaLBX19fZI/ryiKAz7DtFottFqtX89TWVmJhoYGFBUVeTzPNddcg3379kV3wqirq0NWVlaowyCiEKqurkZmZqbsr2OxWBATEyPLc8fFxaGrq8tj37p161BSUuLX8zQ0NAAAUlJSPPanpKTgzJkzfj1XxCWM+Pj4UIfgldFoxHPPPYdbbrmFlQ+NaE6nE++++y4efPDBAR9o4SJYnwNyVBYuXV1dqK6uhsFgcO/zt7ro7/zPHW8VzHAiLmGE64exIAjQ6/UwGAxhGyORL5xOJ/R6fVi/j0MRm5Sv6epaNhgMHgnjQqSmpgI4V2mkpaW59zc1NQ2oOobDu6SIiAIkCILkm1Ty8vKQmpqK3bt3u/f19fVhz549mDlzpl/PFXEVBhFRtOnq6sK3337r/rmyshJHjhxBYmIisrOzsWLFCjzxxBO4+OKLcfHFF+OJJ56AXq/HggUL/HodJgwiogBJXRUA/2mW8kVFRQX+67/+y/3zqlWrAAALFy7Eli1b8Ktf/Qq9vb1YunQp2traMH36dHz00Ud+9/UwYRARjXDXXnvtkAlGEASUlJT4fYfV+ZgwiIgCpFAoJO/0djqdkj2fVJgwiIgCJEeTVDjiXVJEROQTVhhERAFihUFERNQPKwwiogCxwpDQhg0bkJeXB51Oh4KCAuzdu3fI47dt24ZLL70Uer0eaWlpuPvuu9Ha2hqMUImIaBCyJ4wdO3ZgxYoVePjhh/Hll1/i6quvxuzZs1FVVeX1+M8//xx33nknFi1ahG+++QZvvfUWDh48iHvvvVfuUImILkg4Tw0iJdkTxjPPPINFixbh3nvvRX5+PtavX4+srCxs3LjR6/Hl5eXIzc3F8uXLkZeXh6uuugr33XcfKioq5A6ViOiCMGFIoK+vD4cOHfJYuAMAioqKsG/fPq/nzJw5EzU1Nfjwww8hiiIaGxvx9ttv48Ybb/R6vNVqRUdHh8dGRETSkzVhtLS0wOFweF24w7Wox/lmzpyJbdu2Yd68edBoNEhNTUVCQgKef/55r8eXlpbCaDS6Ny6eRETBplAoJN/CUVCi8mfhjqNHj2L58uX43e9+h0OHDqGsrAyVlZVYsmSJ1+PXrl0Ls9ns3qqrqyWPn4iIZL6tNjk5GUqlckA1MdTCHaWlpbjyyiuxevVqAMCUKVMQGxuLq6++Go899pjHAiDAha1xS0QkpXDud5CSrBWGRqNBQUGBx8IdALB79+5BF+7o6ekZUI4plUoA/k33S0RE0pJ94N6qVatQXFyMqVOnorCwEC+//DKqqqrcTUxr165FbW0tXnvtNQDATTfdhMWLF2Pjxo244YYbUF9fjxUrVmDatGlIT0+XO1wiIr9FS4Uhe8KYN28eWltb8eijj6K+vh6TJk3Chx9+iJycHABAfX29x5iMu+66C52dnXjhhRfwi1/8AgkJCfjBD36AJ598Uu5QiYguCBOGhJYuXYqlS5d6fWzLli0D9j3wwAN44IEHZI6KiIj8wbmkiIgCFC0VRnje7EtERGGHFQYRUYCipcJgwiAiCpAgCJKOzg7H9bwBNkkREZGPWGEQEQVI6iapcG3eYoVBREQ+YYVBRBQgVhhERET9sMIgIgpQtFQYTBhERAGKloTBJikiIvIJKwwiogBFS4URsQnDZDKF1bq4CQkJiI2NDXUYRJKIjY1FWlpa2L2nnU4nmpqaQh1GxIrYhPHjH/84rJZu1ev1yMrKCnUYRAETBAE5OTn4yU9+gp6enlCH48FqtWLjxo1Bf12FQhFWX1DlErEJY8GCBYiLiwt1GG4qlQqZmZlhW2oS+SM7Oxu333477HZ7qEPx0NXVFZKEES0iNmFMmDABBoMh1GG4ST05GVGoCIKA+Ph4jBs3LtShDNDR0RGS12Ufxgin0Wig0WhCHQZRRFIqlVAqlaEOY4BQ/c1HS8LgV14iIvJJxFYYRETBwgqDiIioH1YYREQBipYKgwmDiChA0ZIw2CRFREQ+YYVBRBSgaBnpHflXSEREkmCFQUQUIPZhEBHRiNDZ2YkVK1YgJycHMTExmDlzJg4ePCj56zBhEBEFyFVhSLn5495778Xu3bvx+uuv4+uvv0ZRURGuu+461NbWSnqdTBhERAEKZcLo7e3FO++8g6eeegrf//73cdFFF6GkpAR5eXmSz9zLPgwiojB1/uy7Wq12wDo/drsdDocDOp3OY39MTAw+//xzSeNhhUFEJAE5qousrCwYjUb3VlpaOuB14+PjUVhYiP/93/9FXV0dHA4Htm7digMHDqC+vl7Sa2SFQUQUpqqrqz3W9RlsFdHXX38d99xzDzIyMqBUKnHFFVdgwYIFOHz4sKTxMGEQEQVI6oF7oigCAAwGg08LwY0dOxZ79uxBd3c3Ojo6kJaWhnnz5iEvL0+ymAA2SRERRYzY2FikpaWhra0Nu3btwi233CLp87PCICIKUKgH7u3atQuiKGL8+PH49ttvsXr1aowfPx533323ZDEBTBhERAELdcIwm81Yu3YtampqkJiYiB//+Md4/PHHoVarJYsJYMIgIhrx5s6di7lz58r+OkwYREQBkqvTO9yw05uIiHwSlISxYcMG5OXlQafToaCgAHv37h3yeKvViocffhg5OTnQarUYO3YsXn311WCESkTkt1DPJRUssjdJ7dixAytWrMCGDRtw5ZVX4qWXXsLs2bNx9OhRZGdnez1n7ty5aGxsxCuvvIKLLroITU1NsNvtcodKRERDEESZG8umT5+OK664wmMSrPz8fNx6661eh7mXlZVh/vz5OHXqFBITE/1+vY6ODhiNRpjNZp8GvBBR5Aj237/r9SZOnAilUinZ8zocDnzzzTdh9zkma5NUX18fDh06hKKiIo/9RUVF2Ldvn9dz3n//fUydOhVPPfUUMjIyMG7cOPzyl79Eb2+v1+OtVis6Ojo8NiKiYGKTlARaWlrgcDiQkpLisT8lJQUNDQ1ezzl16hQ+//xz6HQ67Ny5Ey0tLVi6dCnOnj3rtR+jtLQUjzzyiCzxExHRfwSl0/v8bCmK4qAZ1Ol0QhAEbNu2DdOmTcOPfvQjPPPMM9iyZYvXKmPt2rUwm83urbq6WpZrICIaDCsMCSQnJ0OpVA6oJpqamgZUHS5paWnIyMiA0Wh078vPz4coiqipqcHFF1/scby3+eGJiEh6slYYGo0GBQUF2L17t8f+3bt3Y+bMmV7PufLKK1FXV4euri73vhMnTkChUCAzM1POcImILohr4J6UWziSPapVq1bhz3/+M1599VUcO3YMK1euRFVVFZYsWQLgXJPSnXfe6T5+wYIFSEpKwt13342jR4/is88+w+rVq3HPPfcgJiZG7nCJiPzGJimJzJs3D62trXj00UdRX1+PSZMm4cMPP0ROTg4AoL6+HlVVVe7j4+LisHv3bjzwwAOYOnUqkpKSMHfuXDz22GNyh0pEREOQfRxGsHEcBlH0CtU4jCuuuELycRiHDx8Ou8+x8GwoIyKisMPZaomIAhTq9TCChRUGERH5hBUGEVGABEGQ9FZYp9Mp2XNJiQmDiChAbJIiIiLqhxUGEVGAWGEQERH1wwqDiChAUs//FLVzSRERUWRghUFEFKBo6cNgwiAiChCbpIiIiPphhUFEFKBoaZJihUFERD6J2ArDbrfDbrcP2B/Oyx8S0fCcTuegcy15+5sPhmipMCI2YbS3t8PhcAzYr9frodfrw/YXQkSDczqd6OnpQW9vr9fHOzs7gxzROdHS6R2xCaOyshKxsbEe+wRBQHp6OnQ6naSrYxFRcIiiiLa2NtTV1cHbYqHd3d0hiCp6RGzC+PbbbxETEzNgv16vR1paWggiIqJAOZ1OnD17FsePH/f6+GCVh9zYJDXCdXV1DWiSEgQBNpvN6zcTIgp/oijCZrOhu7vb699xqBJGtIjYhDEYi8WCnp4eqFT+X7pCoYBGo2FzFlEAHA4H+vr6LmiRILvdDqvVKkNUgWEfRoRqb29HTU3NBSWMmJgYpKSkMGEQBcBms6G5ufmCqgG73Y62tjYZoiJfRF3CaG5uhsViuaAPfZPJhMTERGi1WhkiI4oOdrsdNTU1aG5u9vtch8MRsjuhhsI+jAgkiiJ6enrQ09NzQeer1eqwXWuXaKRwOBw4e/Ys6urqLvg5wq0fkgkjQgXyRnM4HLDZbLDZbF4fVygUbK4iwrm/lcG+XNlsNjidzrD70KfhRV3CCITFYkFLSwv6+vq8Ph4bG4u4uLiw7bAiCgan04nu7u5Bx0SYzeaIu5tJEARJ/+5ZYUSA7u5uVFVVQafTeX08MzMTer2eCYOimtPpREtLC2pra70+brFYIi5hRAsmDD9YLBacOXNm0IQQFxeHzMzMIEdFFF6cTifa29tx8uTJQR8P1ZxPcmEfBg3gdDoHbY5yDQr01jYbrr98Iimc/353Da6zWq3sp4gwTBgSslgs6Orqglqtdu9Tq9XQarVspqKI5HQ6YbFYPCoGm80Gi8USwqiCjwP3yG9tbW2oqqryGBQ4atQopKSkhO0bgCgQDocDra2taG9vd++LxsF1bJIiv7W2tg4YFDhmzBiMHj06hFERycfhcKCpqQmVlZUe+zhrbGRiwpCIKIqwWq0D5rlJSUlhOy5FLFEU0d3d7XXUdjS970PZJGW321FSUoJt27ahoaEBaWlpuOuuu/Cb3/xG8pYNJgwJefsDcU201r/EVCgUUKlUYVt2EnkjiiLsdrvHgLy+vj44HI6oSg7h5sknn8SLL76Iv/zlL5g4cSIqKipw9913w2g04sEHH5T0tZgwZNbR0YHGxkaP+adiYmKQkJDg0TlOFO7sdjva29s9xlBYLJawnNsp2OTqw+jo6PDYr9VqB8xlt3//ftxyyy248cYbAQC5ubl44403UFFRIVk8LkwYMmtvb8epU6c8kkNycjLi4+OZMGhEsdvtqKurQ2trq3tfX1+fR4d3tJIrYWRlZXnsX7duHUpKSjz2XXXVVXjxxRdx4sQJjBs3Dv/v//0/fP7551i/fr1k8bgwYcisp6cHVVVVHvsEQfC63jhROHM4HGhpacGpU6cG7Cd5VFdXw2AwuH/2NlP2Qw89BLPZjAkTJkCpVMLhcODxxx/H7bffLnk8TBgyczqdAyZhc7UDO51Oyb+ZEElNFEWIougeoT3Y5JvRTK4Kw2AweCQMb3bs2IGtW7di+/btmDhxIo4cOYIVK1YgPT0dCxculCwmgAkjJHp7e9He3g6HwwGdTgetVsukQWHJdfefxWJBR0dH1A3IGwlWr16NNWvWYP78+QCAyZMn48yZMygtLWXCiARdXV2orq6GXq9HRkYGF2SisNbZ2Yna2lp0d3ejq6sr1OGEpVAO3Ovp6Rlw+6xSqZRl7Z6gDD/esGED8vLyoNPpUFBQgL179/p03j//+U+oVCpcdtll8gYYZN3d3fjuu+9w8uRJdHZ28pZECluiKKKjowPHjx/HqVOnOCAvDN100014/PHH8be//Q2nT5/Gzp078cwzz+C2226T/LVkrzB27NiBFStWYMOGDbjyyivx0ksvYfbs2Th69Ciys7MHPc9sNuPOO+/ED3/4QzQ2NsodZlC5FmGyWCxsD6awZ7PZYDabI26GWSmFssJ4/vnn8dvf/hZLly5FU1MT0tPTcd999+F3v/udZPG4yF5hPPPMM1i0aBHuvfde5OfnY/369cjKysLGjRuHPO++++7DggULUFhYKHeIISOKIiwWCywWC6xWK5d/pbDhmlSwt7eX/RY+cCUMKTdfxcfHY/369Thz5gx6e3vx3Xff4bHHHoNGo5H8OmVNGH19fTh06BCKioo89hcVFWHfvn2Dnrd582Z89913WLdu3bCvYbVa0dHR4bGNFE6nE21tbairq0NLSwurDQobfX19aG1tRX19Pdra2vhlhgDI3CTV0tICh8OBlJQUj/0pKSloaGjwes7JkyexZs0a7N2712PW18GUlpbikUcekSTeYBNFEfX19ejt7UViYiKMRiM7wCks2Gw21NTU4OzZs2hvb2c/2zCiZbbaoHR6n3/xoih6/Q9xOBxYsGABHnnkEYwbN86n5167di3MZrN7q66uliTmYGlvb8eZM2fQ3NzMAVAUNlyz0J45c4YjuclN1gojOTkZSqVyQDXR1NQ0oOoAzt2+V1FRgS+//BLLli0DAPcKdiqVCh999BF+8IMfeJzjbW6VkcL1rU0URTgcDvcm9YLyRL5y/b3Z7XY4HA42RfkoWioMWROGRqNBQUEBdu/e7XGL1+7du3HLLbcMON5gMODrr7/22Ldhwwb84x//wNtvv428vDw5ww0pi8WC1tZWOBwO6PV66PX6sH3TUGQSRRG9vb3o6elBe3s7O7tpANlvq121ahWKi4sxdepUFBYW4uWXX0ZVVRWWLFkC4FyTUm1tLV577TUoFApMmjTJ43yTyQSdTjdgf6Tp7e11txlnZmZCp9N5LMREJDfXTRiuQXpMGL7jEq0SmTdvHlpbW/Hoo4+ivr4ekyZNwocffoicnBwAQH19/YDJ+aKRxWLBmTNnoFQqER8f77XJjkhOoiiivb0dJ06cgMPhYMLwA5ukJLR06VIsXbrU62NbtmwZ8tySkpIB0/lGIqfT6R7i39fXF+pwKErZ7XZ0dXXxrijyinNJERFJIFyrAimFZ0MZERGFHVYYREQBYh8GERH5hAmDQsI1iM81M6jUt+sRnc+1+qPdbueMtDQkJoww1NnZiebmZuh0OhgMhhE7kp1GBpvN5l5Nr7OzM9ThjEisMChkmpubIQgC4uLicPHFFzNhkKysVivOnDmD7u5uNDU1hTocCmNMGGGora0NnZ2dSEpKcg9wJJKL1Wp1zzLAJqkLwwqDQsI18ZvdbkdfXx8HUJHsRFGE1WrlyG4aFhMGEVGAWGEQEZFPoiVh8H5NIiLyCSsMIqIAscIgIiLqhxUGEVGAWGEQERH1wwqDiChA0VJhMGEQEQUoWhIGm6SIiMgnrDCIiALECoOIiKgfVhhERAGKlgqDCYOIKEDRkjDYJEVERD5hhUFEFCBWGERERP2wwiAiChArDCIion5YYRARBShaKgwmDCKiADFhUEiE6xuFIl//954oiiGMhMIVE0YYio2NhcFgwKhRo6BWq0MdDkU4tVqNlJQUaLVadHR0oLu7O9QhjUjR8GWPCSMMjR49Grm5uYiJiYFGowl1OBThtFotcnJyYDKZcObMGSYMGhQTRhhKTExERkYG1Go1EwbJTqPRIDU1FTabDR0dHTh9+nSoQxpx2IdBISEIArRaLfR6PVQq/npIfiqVyr3pdLpQh0NhjJ9IRAQgfL/VjgTRUmFw4B4RUYBcCUPKzR+5ublen+P++++X9DpZYRARjXAHDx6Ew+Fw//yvf/0L119/PX76059K+jpMGEREAQp1k9To0aM9fv7973+PsWPH4pprrpEsJoAJI2y43nBKpRIKBVsKKXSUSiWcTidEUeQAvhDr6Ojw+Fmr1UKr1Q55Tl9fH7Zu3YpVq1ZJ3hcSlE+mDRs2IC8vDzqdDgUFBdi7d++gx7777ru4/vrrMXr0aBgMBhQWFmLXrl3BCDOk1Go1UlNTkZWVhbi4uLDt9KLIJQgC4uPjkZ2djdTUVA4a9YNcfRhZWVkwGo3urbS0dNhY3nvvPbS3t+Ouu+6S/DplrzB27NiBFStWYMOGDbjyyivx0ksvYfbs2Th69Ciys7MHHP/ZZ5/h+uuvxxNPPIGEhARs3rwZN910Ew4cOIDLL79c7nBDRq/XIzc3FwaDAYmJiUwYFHSCICAxMRHjxo1zj/ju6+sLdVgjgkKhkLRlwPVc1dXVMBgM7v3DVRcA8Morr2D27NlIT0+XLB4X2RPGM888g0WLFuHee+8FAKxfvx67du3Cxo0bvWbL9evXe/z8xBNP4K9//Ss++OCDiE4YOp0OKSkpGDVqFJRKJRMGBZ0gCIiLi0NMTAx0Oh2+++47mM3mUIcV1QwGg0fCGM6ZM2fw8ccf491335UlHlkTRl9fHw4dOoQ1a9Z47C8qKsK+fft8eg6n04nOzk4kJiZ6fdxqtcJqtbp/Pr/Nb6RQqVTQ6/UcOEUhIwgC1Go11Go1B476KdSd3i6bN2+GyWTCjTfeKFks/cnah9HS0gKHw4GUlBSP/SkpKWhoaPDpOZ5++ml0d3dj7ty5Xh8vLS31aOPLysoKOO5gEQQBOp0Oo0aNQnx8PKsKChsKhQLx8fEYNWoUdDod35sjgNPpxObNm7Fw4ULZkn1QOr3Pf7OJoujTG/CNN95ASUkJduzYAZPJ5PWYtWvXwmw2u7fq6mpJYg4GQRCQmpqKcePGueeOIgoHKpUKGRkZuPjii2EymZgwhhHqgXsA8PHHH6Oqqgr33HOPDFd4jqw1Z3JyMpRK5YBqoqmpaUDVcb4dO3Zg0aJFeOutt3DdddcNepwvt5mFK4VCgeTkZOTl5bmbAojCgUajQXp6Omw2GxwOB+rq6uB0OkMdFg2hqKhI9tugZa0wNBoNCgoKsHv3bo/9u3fvxsyZMwc974033sBdd92F7du3y9YWFw4EQXB3asXGxrLNmMKGUql0r8sSHx8f6nDCXjhUGMEg+yfUqlWrUFxcjKlTp6KwsBAvv/wyqqqqsGTJEgDnmpRqa2vx2muvATiXLO688048++yzmDFjhrs6iYmJgdFolDtc2bgG5fV/M6hUKvdAPQ7Wo3DS/32qVCqhUqnc71HXgD6Hw8GBff8nXDq95SZ7wpg3bx5aW1vx6KOPor6+HpMmTcKHH36InJwcAEB9fT2qqqrcx7/00kuw2+24//77PSbOWrhwIbZs2SJ3uLIRBAFJSUkYNWqU+82gUCig1+vD9s1BBJxbAXLs2LHuJilRFNHW1obm5mYmjCgTlDaQpUuXYunSpV4fOz8JfPrpp/IHFAKuTsT09HSPBOHPPdZEwSYIAoxGI8aMGePeJ4oiamtrcfbsWfZr/B9WGCQphUKBxMTEAZ39KpUqbN8cRIIgDFgqWBRF9Pb2shk1CjFhyMBbAlAoFNBoNNBoNEwQNKK4VuNzEUXR/T729l6OxmYqVhh0wVyTuPW/3Ver1UbU+twWiwUWi4VNEj5SKBTQ6XQRM5JfrVZj9OjRHrMsWK1WdHZ2RmXCiBZMGDJQq9XIysrCqFGj3PtUKhViY2PD9puDP0RRRHNzMw4ePMjJ6Xyk0+kwdepUZGRkjPj3gOsL0UUXXQS73e7ef/bsWZw8eTIq3xOsMOiCuaYqT0tL89g/UgcYenP69Gls3759xM7dFWxGoxEmkwkZGRmhDkUSMTExyMzM9NinVqtx+vRpJgyJni8cMWHIQKlUIi4uDnFxcR77w/VN4C9RFFFXV4dPPvmECcNHCQkJuP3220MdhmQ0Gs2AmQni4uI4+DTC8bcbINcMn/3vGNFqtVAoFBGTILwRRRE2m82jSYIGZ7fbI66/5/z3t1KphFar9eincTqdsNlsEd+vwQqDfKLRaJCRkYHY2Fj3vkjq3CTyVUxMDLKzsz06wru7u1FbW+uxj0YuJowA6XQ6ZGVleazXoVQqmTAo6uh0OuTm5sLhcLj3tba2orW1NeITBisM8olGo0FSUhKSkpLc+wRB4KAmijoajcbjzkCXaOjXkPpvngljhBruF6dQKDg1ORG8r2utVqt9WnI40vs4IgUThg8MBgPi4uK8vukTEhKi4hsU0YVQqVQwmUxeB62Kooiurq6IuNOOTVIE4Fx/RHp6OtLS0rz+EnU6XUSN4CaSklarRXZ2ttcF01y3Z3d3d/NuuxGCCWMYgiAgMTERmZmZQ84RRUQDaTQapKSkeL2lWBRFWCyWsP027Q9WGATg3C9Or9dDr9ezI5vIT0qlEjExMV4fczqd0Ov1QY6IAhGxCSMuLm7QN6o/fO20IyL/qVQqxMXFwWazSfJ8SqVSkufxFyuMEe7iiy/2GEx3oRQKBdc0JpKBIAiIi4vDRRddJNko+O7ubkmex19MGCNcXl6eJB/0riapcP0FEo1k8fHxGDNmjGS31XZ2dkryPORdxCaMhIQEyZY/ZbIgkp4gCJKvE8MmKXlFbMJQKpUhe/MQkW+kvpGEf/PyitiEQUQULNFSYfA+USIi8gkrDCKiAEVLhcGEQUQUoGhJGGySIiIin7DCICIKECsMIiKiflhhEBEFyNviUYE+XzgKz6iIiCjssMIgIgpQtPRhMGEQEQUoWhIGm6SIiMgnrDCIiALECoOIiKgfVhhERAGKlgqDCYOIKEDRkjDYJEVERD5hhUFEJIFwrQqkxAqDiIh8wgqDiChA7MOQ0IYNG5CXlwedToeCggLs3bt3yOP37NmDgoIC6HQ6jBkzBi+++GIwwiQiGpFqa2vxP//zP0hKSoJer8dll12GQ4cOSf46sieMHTt2YMWKFXj44Yfx5Zdf4uqrr8bs2bNRVVXl9fjKykr86Ec/wtVXX40vv/wSv/71r7F8+XK88847codKRHRBXBWGlJuv2tracOWVV0KtVuPvf/87jh49iqeffhoJCQmSX6fsTVLPPPMMFi1ahHvvvRcAsH79euzatQsbN25EaWnpgONffPFFZGdnY/369QCA/Px8VFRU4A9/+AN+/OMfyx0uEZHfQtkk9eSTTyIrKwubN29278vNzZUslv5krTD6+vpw6NAhFBUVeewvKirCvn37vJ6zf//+AcffcMMNqKiogM1mG3C81WpFR0eHx0ZEFAnO/2yzWq0Djnn//fcxdepU/PSnP4XJZMLll1+OTZs2yRKPrAmjpaUFDocDKSkpHvtTUlLQ0NDg9ZyGhgavx9vtdrS0tAw4vrS0FEaj0b1lZWVJdwFERD5wLaAk5QYAWVlZHp9v3lplTp06hY0bN+Liiy/Grl27sGTJEixfvhyvvfaa5NcZlLukzi+vRFEcsuTydry3/QCwdu1arFq1yv1zR0cHkwYRRYTq6moYDAb3z1qtdsAxTqcTU6dOxRNPPAEAuPzyy/HNN99g48aNuPPOOyWNR9aEkZycDKVSOaCaaGpqGlBFuKSmpno9XqVSISkpacDxWq3W638iEVGwyNWHYTAYPBKGN2lpabjkkks89uXn58tyo5CsTVIajQYFBQXYvXu3x/7du3dj5syZXs8pLCwccPxHH32EqVOnQq1WyxYrEdFIdOWVV+L48eMe+06cOIGcnBzJX0v222pXrVqFP//5z3j11Vdx7NgxrFy5ElVVVViyZAmAc01K/cumJUuW4MyZM1i1ahWOHTuGV199Fa+88gp++ctfyh0qEdEFCeVttStXrkR5eTmeeOIJfPvtt9i+fTtefvll3H///ZJfp+x9GPPmzUNrayseffRR1NfXY9KkSfjwww/d2a++vt5jTEZeXh4+/PBDrFy5En/605+Qnp6O5557jrfUElHYCuVttd/73vewc+dOrF27Fo8++ijy8vKwfv163HHHHZLF4xKUTu+lS5di6dKlXh/bsmXLgH3XXHMNDh8+LHNURESRYc6cOZgzZ47sr8O5pIiIAtT/Vlipni8chWdUREQUdlhhEBEFKFpmq2XCICIKULQkDDZJERGRT1hhEBEFiBUGERFRP6wwiIgCxAqDiIioH1YYREQBipaBe0wYREQBYpMUERFRP6wwiIgkEK5VgZRYYRARkU9YYRARBYh9GERERP2wwiAiChBvqyUiIp+wSYqIiKgfVhhERAFihUFERNQPKwwiogBFS4XBhEFEFKBoSRhskiIiIp+wwiAiClC0jMMIz6iIiCjssMIgIgoQ+zCIiIj6YYVBRBSgaKkwmDCIiALEhEE0BEEQoFaroVQqQx3KiKBUKsP2Q4DIV0wY5DdBEJCWlobvf//76OjoCHU4I0JCQgJSU1NDHQbJJFpuq2XCoAuSm5uLBQsWwGKxhDqUESEmJgbZ2dmhDoMoIEwY5DdBEGAymfDDH/4QoiiGOpwRQRAE6PV6NktFKPZhEA1Bp9NBp9OFOgwiCiImDCKiALHCICIin0RLwgjPrngiIgo7rDCIiALECoOIiKgfWRNGW1sbiouLYTQaYTQaUVxcjPb29kGPt9lseOihhzB58mTExsYiPT0dd955J+rq6uQMk4goIIIguAfvSbFFZYWxYMECHDlyBGVlZSgrK8ORI0dQXFw86PE9PT04fPgwfvvb3+Lw4cN49913ceLECdx8881yhklEFBBXk5SUWziSrQ/j2LFjKCsrQ3l5OaZPnw4A2LRpEwoLC3H8+HGMHz9+wDlGoxG7d+/22Pf8889j2rRpqKqq4khZIqIQki1h7N+/H0aj0Z0sAGDGjBkwGo3Yt2+f14ThjdlshiAISEhI8Pq41WqF1Wp1/8y5jYgo2NjpHaCGhgaYTKYB+00mExoaGnx6DovFgjVr1mDBggUwGAxejyktLXX3kRiNRmRlZQUUNxEReed3wigpKRm27a2iogKA9ywpiqJP2dNms2H+/PlwOp3YsGHDoMetXbsWZrPZvVVXV/t7SUREAQllH4a3z2S5Zkb2u0lq2bJlmD9//pDH5Obm4quvvkJjY+OAx5qbm5GSkjLk+TabDXPnzkVlZSX+8Y9/DFpdAIBWq4VWq/UteCKiCDRx4kR8/PHH7p/lWqfG74SRnJyM5OTkYY8rLCyE2WzGF198gWnTpgEADhw4ALPZjJkzZw56nitZnDx5Ep988gmSkpL8DZGIKKjkWg/j/D7Zwb4gq1SqoKy3IlsfRn5+PmbNmoXFixejvLwc5eXlWLx4MebMmePR4T1hwgTs3LkTAGC32/GTn/wEFRUV2LZtGxwOBxoaGtDQ0IC+vj65QiUiCohcTVJZWVkefbSlpaVeX//kyZNIT09HXl4e5s+fj1OnTslynbJODbJt2zYsX74cRUVFAICbb74ZL7zwgscxx48fh9lsBgDU1NTg/fffBwBcdtllHsd98sknuPbaa+UMl4gorFRXV3s0yXurLqZPn47XXnsN48aNQ2NjIx577DHMnDkT33zzjeQtNLImjMTERGzdunXIY/ovwJObm8sFeYiI/o/BYBiyDxcAZs+e7f735MmTUVhYiLFjx+Ivf/kLVq1aJWk8nEuKiCiCxMbGYvLkyTh58qTkz82EQUQUoHCaGsRqteLYsWNIS0uT8ArPYcIgIhrBfvnLX2LPnj2orKzEgQMH8JOf/AQdHR1YuHCh5K/F9TCIiAIUyqlBampqcPvtt6OlpQWjR4/GjBkzUF5ejpycHMnicWHCICIKUCgTxptvvinZ6w6HTVJEROQTVhhERAHibLVERET9sMIgIgpQtFQYTBhERAGKloTBJikiIvIJKwwiogCxwiAiIuqHCYOIiHzChEFERD5hHwYRUYCipQ+DCYOIKEDRkjDYJEVERD5hhUFEFCBWGERERP2wwiAikkC4VgVSYoVBREQ+YYVBRBSgaOnDYMIgIgpQtCQMNkkREZFPWGEQEQWIFQYREVE/TBhEROQTNkkREQWITVJERET9sMIgIgoQKwwiIqJ+WGEQEQUoWioMJgwKO3a7HTabDaIoBvV1BUGAWq2GSsU/CyJv+JdBYcdisaCpqQkOhyOor6tUKmEymRAXFxfU16WRjxUGUYh0dXXh1KlTsFgsQX3dmJgYxMbGMmGQ35gwiEJAFEVYrVbU1tait7c3qK+t1+sxbty4oL4m0UjChEFB43Q64XQ6hzxGFEU4HA6IojjssVITRRE2mw02m23Yb3gKhQIKBW8ypHNYYRBJSBRF9PT0oKenZ8jObFEU0dbWFvT+C+BcZ3t7eztiY2OHPE4QBMTGxkKv14ftHzaRHJgwKChEUUR7ezuqqqqGvfvp7NmzIUkYDocDdXV1wzaFKRQKZGdnIyYmhgmDALDCkERbWxuWL1+O999/HwBw88034/nnn0dCQoJP59933314+eWX8cc//hErVqyQL1CSnSiK6OjowMmTJ4dNGHa7PWQJo6GhAS0tLUMep1AoMGrUKKSmpgYpMqLwIGvCWLBgAWpqalBWVgYA+NnPfobi4mJ88MEHw5773nvv4cCBA0hPT5czRJLYYMnA1T/Q29sb9L4JX4miiL6+PvT19Q15nEKhcI8TGex6w/UbIsmDFUaAjh07hrKyMpSXl2P69OkAgE2bNqGwsBDHjx/H+PHjBz23trYWy5Ytw65du3DjjTfKFSJJzGazoa+vz+uHqMPhCPptsnLq6elBd3c3lErlgMcEQYBGo4FarQ5BZETykS1h7N+/H0aj0Z0sAGDGjBkwGo3Yt2/foAnD6XSiuLgYq1evxsSJE4d9HavVCqvV6v65o6Mj8ODpglitVtTX18Nutw94zG63o7W1Neijt+UgiiLOnj2L6upqrwlDpVIhLS2NCYMijmwJo6GhASaTacB+k8mEhoaGQc978sknoVKpsHz5cp9ep7S0FI888sgFx0nS6e3txalTp9Dd3T3gMVEU0dXVFYKo5NHU1ISenh6vTQfx8fFISEjgAMAowiapQZSUlAz7AX3w4EEA3i9aFMVB/zMOHTqEZ599FocPH/b5P2zt2rVYtWqV++eOjg5kZWX5dC5Jy2azoaWlZcgqL1IqDNctwt5YLBbYbLYgR0UkP78TxrJlyzB//vwhj8nNzcVXX32FxsbGAY81NzcjJSXF63l79+5FU1MTsrOz3fscDgd+8YtfYP369Th9+vSAc7RaLbRarX8XQZJxDbRzOp3o6+uD0+mMiKQwnKGu0eFwuPtzFAoFlEpl2H5jJGmwwhhEcnIykpOThz2usLAQZrMZX3zxBaZNmwYAOHDgAMxmM2bOnOn1nOLiYlx33XUe+2644QYUFxfj7rvv9jdUCgKn04nOzk50d3ejtbWV36xxLmG0trZCqVQiNjYWBoPBa18HRQ4mjADl5+dj1qxZWLx4MV566SUA526rnTNnjkeH94QJE1BaWorbbrsNSUlJSEpK8ngetVqN1NTUIe+qotCx2+1obGxEY2MjzGZzSMZPhBubzYaamhp0dnYiNTUVsbGxTBgUEWSdDGfbtm2YPHkyioqKUFRUhClTpuD111/3OOb48eMwm81yhkEyEkURra2tOHnyJBobG73eIRVtXEn05MmTOHv2bNiOOyHpuCoMKbcLVVpaCkEQZBnsLOvAvcTERGzdunXIY4Zr7/bWb0Ghc/5gNafTCYfDMexgt2jiGqQIwD3Ar3/SkLr5gsjl4MGDePnllzFlyhRZnp/TbZLPHA4Huru70dnZ6d46OjqCPg35SGK1WmE2mz3+z3p6eth0F2HCocLo6urCHXfcgU2bNmHUqFEyXCUnHyQ/2O12NDU1edw229fXh/b29tAFFeZcEy5qNBr3PqPRiPT0dPZr0LDOv0V9qLtC77//ftx444247rrr8Nhjj8kSDxMG+cxut6O+vh41NTXufQ6HY9DxCASYzWZ89913HmtnZGVlDXprOY1Mct0ldf6YsnXr1qGkpGTA8W+++SYOHz7sHgMnFyYM8plrwFpra2uoQxkxvE1mmJSUxI5w8kl1dTUMBoP7Z2/VRXV1NR588EF89NFH0Ol0ssbDhEHDstvtsNvtHMEsEZvNBqvVCpVK5d6IvDEYDB4Jw5tDhw6hqakJBQUF7n0OhwOfffYZXnjhBVitVsmaP/lOpSG5qoq2tjZ0dXV5nSeK/NPd3Y2GhgbExcVh1KhRiI+P511TESBUv8Mf/vCH+Prrrz323X333ZgwYQIeeughSfvKmDBoSKIoutvhXXdIUWC6urpQWVkJvV6PcePGIS4ujgmDLlh8fDwmTZrksS82NhZJSUkD9geKCYOG1dPTg8rKSjgcDt4OKoHe3l7U1dVBpVIhMzMz1OGQBDg1CEU11wA9h8PhXjKVo7ilIYoi7HY7BEHwSMIc0EdS+fTTT2V5XiYM8sput6Onpwd9fX1shpKJa53z9vZ2aDQa6PV6LrpEYY0Jg7yy2Wyoq6tDR0cHmpqaeBuoDJxOJ5qamgCcG8yXnZ3NhDFCsUmKoprNZkNtbS3q6+sHXaebAiOKIpqamtDe3o6MjAykp6eHOiSiITFhkFeiKPKuKJmJouhek76rq4tV3AjGCoOijmuWVbvdju7ubnZyB5Grz0ij0UClUkGtVofthwZFLyYMchNFEV1dXWhtbUVHRwcsFkuoQ4oavb29qK+vR3d3N5KSkpCQkMCEMYKwwqCo43Q63Ysh9fb2ctryIOrt7cXp06cRExMDhUIBo9EY6pCIBmDCIA/d3d2oqanhAL0gs9lsaGpqglKpREZGBm8yoLDEhEEDOBwOfmAFmev/2+l08v9+BIqWJimuuEdERD5hhUFEFCBWGERERP0wYRCA/0w2yPbz8MDfBYUjNkkR7HY7rFYrbDYbb6UNMVEUYbFY0NPTA5VKBa1WyxX5RoBoaZLiO5FgtVrR0NCA7u5unD17NtThRL2zZ8+iqqoKer0eaWlpTBgUNvhOJFitVpw5cwZnz55FV1dXqMOJes3Nzejt7cWoUaOQmJgIvV4f6pBoGKwwKGrY7XY0Nze7qwu2nYeOaw31np4eOJ1OzudFYYUJg9yYKMIDfw8jT7RUGLxLioiIfMKEQUREPmGTFBFRgNgkRURE1A8rDCKiALHCICIi6ocVBhFRgFhhEBER9cOEQUREPmGTFBFRgNgkRURE1A8rDCKiAEVLhcGEQRAEAWq1GhqNBk6nEw6HgxPghYggCFAqlVAoFFCr1WH7wUHRSdYmqba2NhQXF8NoNMJoNKK4uBjt7e3Dnnfs2DHcfPPNMBqNiI+Px4wZM1BVVSVnqFFNo9EgMzMTY8eOhcFgCHU4Uc9oNGLs2LHIyMiARqMJdThEbrJWGAsWLEBNTQ3KysoAAD/72c9QXFyMDz74YNBzvvvuO1x11VVYtGgRHnnkERiNRhw7dgw6nU7OUKOaVqtFTk4OLBYLRFFEW1tbqEOKaiaTCWPHjoVOp4NWqw11OOQDNkkF6NixYygrK0N5eTmmT58OANi0aRMKCwtx/PhxjB8/3ut5Dz/8MH70ox/hqaeecu8bM2aMXGESzlUYiYmJsNvtaGpqCnU4Uc9gMGD06NFQqVRQKpWhDofITbYmqf3798NoNLqTBQDMmDEDRqMR+/bt83qO0+nE3/72N4wbNw433HADTCYTpk+fjvfee2/Q17Farejo6PDYyD+u9nLXRqHj6sNw/S4UCt7IOBK4Kgwpt3Ak27uxoaEBJpNpwH6TyYSGhgav5zQ1NaGrqwu///3vMWvWLHz00Ue47bbb8N///d/Ys2eP13NKS0vdfSRGoxFZWVmSXgcREZ3jd8IoKSkZNjNWVFQA8N4OJ4rioNnT6XQCAG655RasXLkSl112GdasWYM5c+bgxRdf9HrO2rVrYTab3Vt1dbW/l0REFJBoqTD87sNYtmwZ5s+fP+Qxubm5+Oqrr9DY2DjgsebmZqSkpHg9Lzk5GSqVCpdcconH/vz8fHz++edez9FqtewYJCIKAr8TRnJyMpKTk4c9rrCwEGazGV988QWmTZsGADhw4ADMZjNmzpzp9RyNRoPvfe97OH78uMf+EydOICcnx99QiYhIQrL1YeTn52PWrFlYvHgxysvLUV5ejsWLF2POnDked0hNmDABO3fudP+8evVq7NixA5s2bcK3336LF154AR988AGWLl0qV6jUj1KphF6vh1arZYdrECkUCmi1WsTExPDGgxEq0pujAJkH7m3btg2TJ09GUVERioqKMGXKFLz++usexxw/fhxms9n982233YYXX3wRTz31FCZPnow///nPeOedd3DVVVfJGSrh3Bs+ISEB48aNQ05ODse+BJFOp0Nubi7GjRsHg8EQ1h8aFL1kHbiXmJiIrVu3DnmMtyko7rnnHtxzzz1yhUWDUCgUGDVqFLRaLdra2tDS0oKenp5QhxUVYmJikJWVhYSEBOj1elZ3IwwH7lHUEQQBer0eOp0OgiCwwgginU6HpKQkGI1GKBSKsP3AoOjGhEEeFAoFJ74LAUEQoFKpoFLxT5LCF+teIqIRbOPGjZgyZQoMBgMMBgMKCwvx97//XZbX4tcZIqIAhbIPIzMzE7///e9x0UUXAQD+8pe/4JZbbsGXX36JiRMnShYTwIRBRBSwUCaMm266yePnxx9/HBs3bkR5eTkTBhFRtDh/MtXhZrZwOBx466230N3djcLCQsnjYR8GeSUIAuLi4mA0GqHVatkBLgNBEKDVamE0GhEXF8f/YxogKyvLY3LV0tJSr8d9/fXXiIuLg1arxZIlS7Bz584BUyxJgRUGeaVWq5GRkYG4uDg0Njairq6Oy7ZKTBAEmEwmpKSkwGAwcIQ3DVBdXe2xCuZg1cX48eNx5MgRtLe345133sHChQuxZ88eyZMGEwZ5pVarkZ6ejqSkJADnpqt3zSZM0lAoFDCZTBgzZgw0Gg0TxggmVx+G686n4Wg0Gnen99SpU3Hw4EE8++yzeOmllySLCWDCoEGoVCrExcUhJiYG8fHxoQ4nIgmCAIPBAKPRCKVSySYpkowoirBarZI/LxMGedX/G5NSqRywVKjT6YQoimym8pHr/7P/lB+u/1elUsmpQOiC/frXv8bs2bORlZWFzs5OvPnmm/j0009RVlYm+WsxYdCw9Ho98vLyPJqk2tra0NrayoThI0EQkJycjISEBPc+18zANPKF8rbaxsZGFBcXo76+HkajEVOmTEFZWRmuv/56yeJxYcKgIQmCAKPRiLFjx7r3iaKI2tpatLe3s1/DRyqVCunp6UhPT/f4MDAajWyKooC88sorQXstJgwakmtCQo1G47HfYrGwGcUPCoUCSUlJSE1N9divUqmYMGjEYMKgYZ0/KZ4oiu6xGYIgsFlqGK6+C9egKyYIGqmYMOiCqFQqJCUloaenB93d3ejr6wt1SGFJo9EgNjYWer2et81GMK6HQTSE+Ph4jB07Fj09PaisrERra2uoQwpLRqMROTk50Ov1iI2NDdsPAiJfMGGQ3wRBQExMDLKzs9HT0+O+Y4oGSkhIQHZ2tnuddKKRjAmDLohGo4FGo4FKpUJMTEyowwlbrrmiuHphZGOT1Ahns9lgs9lCHYaHSBqg5XpDKxQKqFQqj2/PoijCbrdH1cA+1wfG+Xc9uVYuDNcPgAvldDrhcDhCHcYA4fY3H2kiNmGcOHECcXFxoQ7DzXUfvtFoDHUokhIEAYmJie55bIBzUyw3NDTAbDaHMLLgMxqNSElJ8RgVn5iYGDFfEvrr7OxEbW1t2CWNrq6uUIcQ0SI2YWzfvj2s2oz1ej3mz58Pg8EQUd82VSoVUlJSPOabclV30ZYwkpOTMWbMGI+7oWJjYwdMqzLSiaKI6upq7NixA729vaEOx4Mc8yfRf0Rswnj77bfD6ptdQkICZs6cifz8/FCHIimFQoH4+HjExsa699lsNtTV1YUwqtCIj4+HyWTyGLOiUCjC6n0oBVEUcfr0abzzzjth96UgVDMPsA9jhGtoaAh1CB56enoislx2tdufz7VvqDf+SOvfGO6PWKlUQqVSDRgVH4m6urpQU1ODzs7OUIdCQRSxCYNCRxAExMbGIiUlxevjNpsNHR0dI66DUqVSDbrQkUKh4Kp5FPGYMEhyCoUCycnJgzbFdHZ24uTJk2HXnDGc2NhYjBkzZtCbKSK1g5uGxyYpogukUChgNBo9+jX6a29vR01NzYhLGHq9fsg73VQqFRMGRTQmDJKcIAjQ6XSD9lE4HI4ROa+SaxXCwRJhuH4rJJIKEwbJZrAPUNfUIv4sHuRwONDX1ydZR7kgCNBoNH7d8hoTEwOFQsHEQAOwSYpIJiqVCqmpqX4ljI6ODtTU1Eg2K65arUZGRgYMBoPP5xiNRq93hBFFC777KehcH9ajR4/2+ZzGxkY0NjZKljA0Gg0yMjJgMpn8OocJg6IZ3/0UdK7bU/1pXurr65O030OtViMxMRFJSUk+n+NaCIkoWjFhUNAJguD3dBlqtVrSUdOuSRNZMRD5jn8tNCJoNBqkpaVJNqFkfHx8VIzIJpISEwaNCDqdDrm5uZKNDler1WE1OSWNbLxLiiiMaDQamEwmyW+rJSLfMWHQiMD+BqLQ418gEVGAoqVJivcIEhGRT5gwiIjIJ0wYRETkE1kTRltbG4qLi2E0GmE0GlFcXIz29vYhz+nq6sKyZcuQmZmJmJgY5OfnY+PGjXKGSUQUEFcfhpRbOJI1YSxYsABHjhxBWVkZysrKcOTIERQXFw95zsqVK1FWVoatW7fi2LFjWLlyJR544AH89a9/lTNUIiIahmx3SR07dgxlZWUoLy/H9OnTAQCbNm1CYWEhjh8/jvHjx3s9b//+/Vi4cCGuvfZaAMDPfvYzvPTSS6ioqMAtt9wy4Hir1Qqr1er+uaOjQ/qLISIi+SqM/fv3w2g0upMFAMyYMQNGoxH79u0b9LyrrroK77//PmprayGKIj755BOcOHECN9xwg9fjS0tL3U1eRqMRWVlZkl8LEdFQ2CQVoIaGBq9TR5tMJjQ0NAx63nPPPYdLLrkEmZmZ0Gg0mDVrFjZs2ICrrrrK6/Fr166F2Wx2b9XV1ZJdAxER/YffCaOkpGTYzFhRUQHA++ATURSHzJ7PPfccysvL8f777+PQoUN4+umnsXTpUnz88cdej9dqtTAYDB4bERFJz+8+jGXLlmH+/PlDHpObm4uvvvoKjY2NAx5rbm5GSkqK1/N6e3vx61//Gjt37sSNN94IAJgyZQqOHDmCP/zhD7juuuv8DZeISHbRMtLb74SRnJyM5OTkYY8rLCyE2WzGF198gWnTpgEADhw4ALPZjJkzZ3o9x2azwWazDVjzQKlUwul0+hsqERFJSLY+jPz8fMyaNQuLFy9GeXk5ysvLsXjxYsyZM8fjDqkJEyZg586dAACDwYBrrrkGq1evxqefforKykps2bIFr732Gm677Ta5QiUiIh/IOvngtm3bsHz5chQVFQEAbr75Zrzwwgsexxw/fhxms9n985tvvom1a9fijjvuwNmzZ5GTk4PHH38cS5YskTNUIiIahqwJIzExEVu3bh3ymPPXN0hNTcXmzZvlDIuISFLR0ofBuaSIiMgnTBhEROQTLqBERBQgNkkRERH1w4RBREQ+YcIgIhrBSktL8b3vfQ/x8fEwmUy49dZbcfz4cVleiwmDiChAoZytds+ePbj//vtRXl6O3bt3w263o6ioCN3d3ZJfJzu9iYhGsLKyMo+fN2/eDJPJhEOHDuH73/++pK8VcQnj/IGA4UIURfT09KCjoyNs74Ag8oXT6URPT0/Y/q0Bwf8ckHrhNtfznf+8Wq0WWq12yHNdM2ckJiZKGhMAQIww1dXVIgBu3LhF8VZdXR2Uz5ve3l4xNTVVlmuIi4sbsG/dunVDxuN0OsWbbrpJvOqqq2S53oirMNLT01FdXY34+HhZv8l3dHQgKysL1dXVI34NDl5LeOK1+E8URXR2diI9PV221+hPp9OhsrISfX19kj+36GXtoOGqi2XLluGrr77C559/Lnk8QAQ2SSkUCmRmZgbt9SJp0SZeS3jitfjHaDTK+vzn0+l00Ol0QX1Nbx544AG8//77+Oyzz2T7DIy4hEFEFE1EUcQDDzyAnTt34tNPP0VeXp5sr8WEQUQ0gt1///3Yvn07/vrXvyI+Ph4NDQ0AzlVaMTExkr4Wx2FcIK1Wi3Xr1g3bpjgS8FrCE6+FfLFx40aYzWZce+21SEtLc287duyQ/LUEUQzje+OIiChssMIgIiKfMGEQEZFPmDCIiMgnTBhEROQTJgwiIvIJE4Yf2traUFxcDKPRCKPRiOLiYrS3t/t8/n333QdBELB+/XrZYvSVv9dis9nw0EMPYfLkyYiNjUV6ejruvPNO1NXVBS/o/7Nhwwbk5eVBp9OhoKAAe/fuHfL4PXv2oKCgADqdDmPGjMGLL74YpEiH58+1vPvuu7j++usxevRoGAwGFBYWYteuXUGMdmj+/l5c/vnPf0KlUuGyyy6TN0AKnCwzVEWoWbNmiZMmTRL37dsn7tu3T5w0aZI4Z84cn87duXOneOmll4rp6eniH//4R3kD9YG/19Le3i5ed9114o4dO8R///vf4v79+8Xp06eLBQUFQYxaFN98801RrVaLmzZtEo8ePSo++OCDYmxsrHjmzBmvx586dUrU6/Xigw8+KB49elTctGmTqFarxbfffjuocXvj77U8+OCD4pNPPil+8cUX4okTJ8S1a9eKarVaPHz4cJAjH8jfa3Fpb28Xx4wZIxYVFYmXXnppcIKlC8aE4aOjR4+KAMTy8nL3vv3794sAxH//+99DnltTUyNmZGSI//rXv8ScnJyQJ4xArqW/L774QgQw7IeClKZNmyYuWbLEY9+ECRPENWvWeD3+V7/6lThhwgSPfffdd584Y8YM2WL0lb/X4s0ll1wiPvLII1KH5rcLvZZ58+aJv/nNb8R169YxYYwAbJLy0f79+2E0GjF9+nT3vhkzZsBoNGLfvn2Dnud0OlFcXIzVq1dj4sSJwQh1WBd6Leczm80QBAEJCQkyRDlQX18fDh06hKKiIo/9RUVFg8a9f//+AcffcMMNqKiogM1mky3W4VzItZzP6XSis7NTnnUP/HCh17J582Z89913WLdundwhkkQ4l5SPGhoaYDKZBuw3mUzuuVu8efLJJ6FSqbB8+XI5w/PLhV5LfxaLBWvWrMGCBQuCNpNqS0sLHA4HUlJSPPanpKQMGndDQ4PX4+12O1paWpCWliZbvEO5kGs539NPP43u7m7MnTtXjhB9diHXcvLkSaxZswZ79+6FSsWPoZEi6iuMkpKSYdfWraioAACv62uIXuasdzl06BCeffZZbNmyJSir7Ml5Lf3ZbDbMnz8fTqcTGzZskPw6hnN+jMPF7e14b/tDwd9rcXnjjTdQUlKCHTt2eE3+oeDrtTgcDixYsACPPPIIxo0bF6zwSAJRn9qXLVuG+fPnD3lMbm4uvvrqKzQ2Ng54rLm5ecA3K5e9e/eiqakJ2dnZ7n0OhwO/+MUvsH79epw+fTqg2M8n57W42Gw2zJ07F5WVlfjHP/4R1HUakpOToVQqB3xrbWpqGjTu1NRUr8erVCokJSXJFutwLuRaXHbs2IFFixbhrbfewnXXXSdnmD7x91o6OztRUVGBL7/8EsuWLQNwrnlNFEWoVCp89NFH+MEPfhCU2MlPIew/GVFcHcUHDhxw7ysvLx+yo7ilpUX8+uuvPbb09HTxoYce8qtzWWoXci2iKIp9fX3irbfeKk6cOFFsamoKRqgDTJs2Tfz5z3/usS8/P3/ITu/8/HyPfUuWLAmbTm9/rkUURXH79u2iTqcTd+7cKXN0/vHnWhwOx4C/i5///Ofi+PHjxa+//lrs6uoKVtjkJyYMP8yaNUucMmWKuH//fnH//v3i5MmTB9yKOn78ePHdd98d9DnC4S4pUfT/Wmw2m3jzzTeLmZmZ4pEjR8T6+nr3ZrVagxa36/bNV155RTx69Ki4YsUKMTY2Vjx9+rQoiqK4Zs0asbi42H2867balStXikePHhVfeeWVsLut1tdr2b59u6hSqcQ//elPHv//7e3toboEN3+v5Xy8S2pkYMLwQ2trq3jHHXeI8fHxYnx8vHjHHXeIbW1tHscAEDdv3jzoc4RLwvD3WiorKwddrP6TTz4Jaux/+tOfxJycHFGj0YhXXHGFuGfPHvdjCxcuFK+55hqP4z/99FPx8ssvFzUajZibmytu3LgxqPEOxZ9rueaaa7z+/y9cuDD4gXvh7++lPyaMkYHrYRARkU+i/i4pIiLyDRMGERH5hAmDiIh8woRBREQ+YcIgIiKfMGEQEZFPmDCIiMgnTBhEROQTJgwiIvIJEwYREfmECYOIiHzy/wGsIHQUgj1AUAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "legume.viz.eps(layer, cbar=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plane-wave expansion\n", "The layer we consturcted can now be used to initialize a plane-wave expansion simulation. This also takes two keyword arugments:\n", "\n", "- `gmax` : Maximum reciprocal lattice wave-vector length in units of $2\\pi/a$\n", "- `eps_eff` : Effective background epsilon; if None, take layer.eps_b. Setting this to a different value can be useful for simulations of an effective slab of a given thickness and at a particular frequency." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "pwe = legume.PlaneWaveExp(layer, gmax=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the permittivity as \"seen\" by the PWE with a given gmax; in other words, we can plot the real-space permittivity from the Fourier components that will be used in the expansion. Notice how this gets closer to the real structure as gmax increases." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "legume.viz.eps_ft(pwe, figsize=2.5)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pwe = legume.PlaneWaveExp(layer, gmax=6)\n", "legume.viz.eps_ft(pwe, figsize=2.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will not run the simulation here; this tutorial is only oriented towards building the simulation structures.\n", "\n", "## Photonic crystals\n", "\n", "We can build photonic crystals made of one or more layers, and add various shapes. Let's start with an example." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize a lattice (can be 'square', 'hexagonal', or defined by primitive vectors)\n", "lattice = legume.Lattice('hexagonal')\n", "\n", "# Initialize a PhC (optional kwargs are the permittivity in the lower and upper cladding)\n", "phc = legume.PhotCryst(lattice, eps_l=1., eps_u=1.)\n", "\n", "# Add a layer to the PhC with thickness 1 and background permittivity 10\n", "phc.add_layer(d=1, eps_b=10)\n", "\n", "# We can add shapes to the layer in two different ways:\n", "\n", "# Create a square and use the layer `add_shape` method\n", "square = legume.Square(x_cent=0, y_cent=0, a=0.3, eps=2)\n", "\n", "# Create a circle and use the phc `add_shape` method\n", "circle = legume.Circle(eps=6, x_cent=0.5, y_cent=0.3, r=0.2)\n", "phc.add_shape([circle, square]) # by default added to the last layer; can add a list of shapes\n", "\n", "# We can plot an overview of what we've built so far\n", "legume.viz.structure(phc, yz=True, figsize=2., cbar=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Guided-mode expansion\n", "Just like PWE, GME uses the Fourier transform (FT) of the shapes. The `GuidedModeExp` object also takes `gmax` as a keyword argument, and we can also plot the FT of the photonic crystal that we're simulating." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gme = legume.GuidedModeExp(phc, gmax=5)\n", "legume.viz.eps_ft(gme, figsize=2., cbar=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiple layers and fancy shapes\n", "\n", "We can also create and simulate a multi-layer structure!" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Add another layer to our existing photonic crystal\n", "phc.add_layer(d=0.4, eps_b=8)\n", "\n", "# Add a FourierShape which is defined by the Fourier components of R(phi) in polar coordinates\n", "# (see documentation)\n", "fshape = legume.FourierShape(x_cent=0.1, eps=2, \n", " f_as=np.array([0.3, 0., 0., 0.08]), f_bs=np.array([0., 0.04]))\n", "phc.add_shape(fshape) # always adds to the last layer\n", "\n", "# Visualize the structure and compare to the FT\n", "legume.viz.structure(phc, Ny=300, yz=True, figsize=2., cbar=True)\n", "gme = legume.GuidedModeExp(phc, gmax=5)\n", "legume.viz.eps_ft(gme, Ny=300, figsize=2., cbar=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Shapes in the claddings\n", "You can add shapes to the claddings too!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "triangle = legume.Poly(x_edges=[-0.1, 0.5, 0.2], y_edges=[0, 0, 0.5], eps=4)\n", "phc.add_shape(triangle, cladding=1) # you can also say cladding = 'l', or phc.cladding[0].add_shape(triangle)\n", "\n", "# Plot the real-space overview\n", "legume.viz.structure(phc, Ny=300, cladding=True, yz=True, figsize=2., cbar=False)\n", "gme = legume.GuidedModeExp(phc, gmax=5)\n", "legume.viz.eps_ft(gme, Ny=300, cladding=True, figsize=2., cbar=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Caveats\n", "\n", "Some important things to keep in mind:\n", "- Polygons should be defined such that the points circle their interior in a counter-clockwise manner. But don't worry, if you don't do that you'll get a warning telling you to do it.\n", "- FourierShape shapes should spit out an error if `R(phi)` is < 0 for some `phi`. If you're running optimizations, you should bound the parameters for this to not happen.\n", "- *Shapes should not overlap.* This might be fixed in the future, but right now here's what happens if they do (notice the discrepancy between the direct visualization and the one from inverse FT): " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "phc = legume.PhotCryst(lattice)\n", "phc.add_layer(d=1, eps_b=12)\n", "circle = legume.Circle(x_cent=0.1, r=0.2, eps=5)\n", "square = legume.Square(a=0.3)\n", "phc.add_shape([circle, square]) \n", "\n", "# Notice the discrepancy between the two plots. In the FT, the permittivity of the overlapping shapes is wrong -\n", "# and so the simulation will be wrong!\n", "legume.viz.structure(phc, Ny=300, figsize=2.5)\n", "gme = legume.GuidedModeExp(phc, gmax=5)\n", "legume.viz.eps_ft(gme, Ny=300, figsize=2.5)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }