{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "B7IgaXGTBPNZ" }, "source": [ "# Guided mode expansion: W1 waveguide optimization with Autograd\n", "\n", "We use `legume` to optimize a PhC slab with a W1 waveguide, i.e., a missing row of holes in the triangular lattice. And we take advantage of the presence of a vertical ($kz$) mirror plane.\n", "\n", "It is similar to the example 05, but\n", "* it is done in a PhC slab, using gme instad of pwe\n", "* it is a triangular lattice of holes (not pillars), the PBG is for $xy$-even (TE-like) modes\n", "* the W1 waveguide supports modes with two parities with respect to $kz$ mirror symmetry, and we must use symmetry separation to disentangle the modes.\n", "\n", "For a treatment of the W1 waveguide in PhC slab with kz-symmetry separation, see e.g. Ch. 8 of [Molding the Flow of Light](http://ab-initio.mit.edu/book/) and [Opt. Expr. 13, 4939 (2005)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-13-13-4939&id=84559)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "executionInfo": { "elapsed": 1, "status": "ok", "timestamp": 1708610191540, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "mNlwmcF2BPNb", "scrolled": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import time\n", "\n", "import autograd.numpy as npa\n", "from autograd import grad, value_and_grad\n", "\n", "import legume\n", "from legume import GuidedModeExp, Circle, ShapesLayer\n", "from legume.minimize import Minimize\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": { "id": "t7iAKyMdBPNc" }, "source": [ "## Define W1 waveguide with a supercell" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "executionInfo": { "elapsed": 3, "status": "ok", "timestamp": 1708610191819, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "UPjnLx5ZgQn_" }, "outputs": [], "source": [ "# PhC parameters\n", "D = 0.5 # slab thickness\n", "ra = 0.3 # pillar radius\n", "eps_b = 12 # background permittivity\n", "eps_c = 1 # hole permittivity (air)\n", "eps_lower, eps_upper = 1, 1 # cladding permittivities\n", "\n", "# supercell parameters\n", "Ny = 12 # Number of rows in the y-direction\n", "Ny_opt = 3 # Number of rows in which the holes will be modified\n", "Nx = 4 # Supercell size in the x-direction\n", "if (Ny%2 != 0): raise ValueError('number of rows Ny must be even')\n", "if (Ny_opt >= Ny/2): raise ValueError('Ny and Ny_opt are not consistent')\n", "Nholes = Nx*(Ny-1) # total number of holes\n", "Nopt = Nx*Ny_opt # number of optimized holes\n", "\n", "# Initialize a rectangular lattice\n", "lattice = legume.Lattice([Nx, 0], [0, Ny*np.sqrt(3)/2])\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "executionInfo": { "elapsed": 391, "status": "ok", "timestamp": 1708610194029, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "mPf7i34SBPNd", "scrolled": true }, "outputs": [], "source": [ "def wg_sc(dx, dy, dr):\n", " \"\"\"Define the photonic crystal waveguide given shift parameters\n", " dx, dy, and dr, for the Nx*Ny_opt number of holes that get shifted\n", " Notice that the structure is symmetric wrt a xz mirror plane:\n", " the holes for y>0 and y<0 are moved symmetrically.\n", " This is important in order to disentangle modes with different kz-symmetry\n", " \"\"\"\n", "\n", " # we reinitialize the photonic crystal at each step, to be on the safe side\n", " phc = legume.PhotCryst(lattice, eps_l=eps_lower, eps_u=eps_upper)\n", " phc.add_layer(d=D, eps_b=eps_b)\n", "\n", " # Initialize a layer and the positions of the holes for the regular waveguide\n", " layer_wg = ShapesLayer(lattice, eps_b=eps_b)\n", "\n", " xc = []; yc = []; rc = [] # initialize variations of hole positions and radii\n", " jhole, jopt = 0, 0 # these are counters, for later check\n", "\n", " for ih in range(1, Ny//2+1):\n", " for ix in range(-Nx//2+1, Nx//2+1):\n", " if (ih <= Ny_opt): # optimized holes\n", " xc.append((ih%2)*0.5 + ix + dx[jopt])\n", " yc.append( ih*np.sqrt(3)/2 + dy[jopt])\n", " rc.append(ra+dr[jopt])\n", " xc.append((ih%2)*0.5 + ix + dx[jopt]) # this is the hole\n", " yc.append(-ih*np.sqrt(3)/2 - dy[jopt]) # in the symmetric row\n", " rc.append(ra+dr[jopt])\n", " jhole = jhole+2 # two holes, but one set of optimization parameters\n", " jopt = jopt+1\n", " else: # fixed holes\n", " xc.append((ih%2)*0.5 + ix)\n", " yc.append( ih*np.sqrt(3)/2)\n", " rc.append(ra)\n", " jhole = jhole+1\n", " # the upper edge row consists of half-holes, and we do not need to define the lowe one, to avoid double counting\n", " # the proper definition of the supercell should be checked with the visualization of the dielectric functions\n", " # (the shapes are not sufficient because they are not sensitive to double counting)\n", " if (ih != Ny//2):\n", " xc.append((ih%2)*0.5 + ix) # this is the hole\n", " yc.append(-ih*np.sqrt(3)/2) # in the symmetric row\n", " rc.append(ra)\n", " jhole = jhole+1\n", "\n", " nholes = jhole\n", " nopt = jopt\n", "\n", " # add the holes to the PhC slab core layer\n", " for n in range(nholes):\n", " phc.layers[-1].add_shape(legume.Circle(eps=eps_c, r=rc[n], x_cent=xc[n], y_cent=yc[n]))\n", "\n", " return phc, nholes, nopt" ] }, { "cell_type": "markdown", "metadata": { "id": "zWCzhapQBPNd" }, "source": [ "We first simulate the starting (un-modified) waveguide, to check the supercell and identify the waveguide modes. Notice that the Brillouin zone is folded Nx times in the $x$-direction. To check the waveguide dispersion without folding, use Nx=1." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 840 }, "executionInfo": { "elapsed": 2550, "status": "ok", "timestamp": 1708610206237, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "845gYRK7BPNd", "outputId": "12620c1b-9c71-45a1-b6c7-03fe9f68ecf0" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nholes, Nholes_check= 44 44\n", "Nopt, Nopt_check= 12 12\n", "npw = 189\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize shift parameters to zeros\n", "dx0, dy0, dr0 = np.zeros(Nopt), np.zeros(Nopt), np.zeros(Nopt)\n", "\n", "# you can use this to initialize with random numbers and check that the supercell remains kz-symmetric\n", "#dx0 = (2*np.random.rand(Nopt)-1)*0.2\n", "#dy0 = (2*np.random.rand(Nopt)-1)*0.2\n", "#dr0 = (2*np.random.rand(Nopt)-1)*0.1\n", "#print(dx0)\n", "#print(dy0)\n", "#print(dr0)\n", "\n", "# Initialize the photonic crystal\n", "phc0, Nholes_check, Nopt_check = wg_sc(dx0, dy0, dr0)\n", "print('Nholes, Nholes_check=', Nholes, Nholes_check)\n", "print('Nopt, Nopt_check=', Nopt, Nopt_check)\n", "\n", "# visualize the structure with vertical cuts, and in the xy plane with eps_ft method\n", "legume.viz.structure(phc0, xz=True, yz=True, figsize=2, cmap='viridis')\n", "\n", "gmax = 1.05 # minimum reasonavle is 1.05 yielding 189 PWs\n", "truncate_g = 'tbt' # for a rectangular cell, 'tbt' truncation is still compatible with symmetry separation and much faster for optimization\n", "gme0 = legume.GuidedModeExp(phc0, gmax=gmax, truncate_g=truncate_g)\n", "npw = np.shape(gme0.gvec)[1] # number of plane waves in the expansion\n", "print('npw = ', npw)\n", "\n", "legume.viz.eps_ft(gme0, Nx=200, Ny=200, figsize=2, cbar=True, cmap='viridis')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 5781, "status": "ok", "timestamp": 1708610215224, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "1JojbMsFBPNe", "outputId": "a71a2fc2-355a-40f4-ed3f-9fff04705fea" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running gme k-points: │------------------------------│ 1 of 51" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Running gme k-points: │██████████████████████████████│ 51 of 51\r" ] }, { "data": { "text/html": [ "
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
       "┃ Steps in GuidedModeExp: 189 plane waves and 1 guided modes  Time (s)                  % vs total T ┃\n",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
       "│ Guided modes computation with gmode_compute='exact'         1.692     │█████████████-------│   67% │\n",
       "│ Inverse matrix of Fourier-space permittivity                0.002     │--------------------│    0% │\n",
       "│ Matrix diagionalization using the 'eigh' solver             0.127     │█-------------------│    5% │\n",
       "│ Creating GME matrix                                         0.659     │█████---------------│   26% │\n",
       "├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
       "│ Total time for real part of frequencies for 51 k-points     2.507     │████████████████████│  100% │\n",
       "└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n",
       "
\n" ], "text/plain": [ "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 189 plane waves and 1 guided modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m % vs total T\u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│\u001b[36m \u001b[0m\u001b[36mGuided modes computation with gmode_compute='\u001b[0m\u001b[1;36mexact\u001b[0m\u001b[36m'\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.692 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████████████-------│ 67%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mInverse matrix of Fourier-space permittivity\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.002 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│ 0%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mMatrix diagionalization using the '\u001b[0m\u001b[1;36meigh\u001b[0m\u001b[36m' solver\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.127 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│ 5%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mCreating GME matrix\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.659 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████---------------│ 26%\u001b[0m\u001b[32m \u001b[0m│\n", "├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n", "│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 51 k-points\u001b[0m\u001b[1;36m \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m2.507\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m│████████████████████│ 100%\u001b[0m\u001b[1;32m \u001b[0m│\n", "└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
Skipping imaginary part computation, use run_im() to run it, or compute_rad() to compute the radiative rates of \n",
       "selected eigenmodes\n",
       "
\n" ], "text/plain": [ "Skipping imaginary part computation, use \u001b[1;35mrun_im\u001b[0m\u001b[1m(\u001b[0m\u001b[1m)\u001b[0m to run it, or \u001b[1;35mcompute_rad\u001b[0m\u001b[1m(\u001b[0m\u001b[1m)\u001b[0m to compute the radiative rates of \n", "selected eigenmodes\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(51, 100)\n" ] } ], "source": [ "# Define a Brillouin zone path in kx and run the GME\n", "nintervals = 50\n", "nk = nintervals +1\n", "path = lattice.bz_path([[0, 0], np.array([np.pi/Nx, 0])], [nintervals])\n", "\n", "kpoints = path['kpoints']\n", "\n", "# we consider only xy-even (sigma_xy=+1 or TE-like) modes: this is the only polarization yielding a photonic band gap\n", "# and we need quite a number of eigenvalues because of the supercell\n", "gmode_inds = [0]\n", "numeig = 100\n", "\n", "gme0.run(kpoints=path['kpoints'], gmode_inds=gmode_inds, numeig=numeig, verbose=True, compute_im=False)\n", "\n", "freqs = gme0.freqs\n", "nfreq = np.shape(freqs)[1]\n", "print(freqs.shape)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "executionInfo": { "elapsed": 497, "status": "ok", "timestamp": 1708610215718, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "LuixegohiJ5I", "outputId": "96f37bbe-9342-4f54-8ead-dc1cb7037ae0" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the (folded) waveguide bands\n", "fig, ax = plt.subplots(1, constrained_layout=True, figsize=(4, 4))\n", "ax.plot(kpoints[0, :]/np.pi, freqs, 'bo', markersize=4)\n", "ax.set_ylim([0.2, 0.35])\n", "ax.set_xlim([0, kpoints[0, -1]/np.pi])\n", "ax.set_xlabel('$N_xa k_x/ \\pi$')\n", "ax.set_ylabel('Frequency')" ] }, { "cell_type": "markdown", "metadata": { "id": "laxCe79BktM9" }, "source": [ "Frankly speaking, it is a mess, since there are two folded waveguide modes in the photonic bandgap. But we can simplify the band structure by taking advantage of symmetry with respect to the $xz$ mirror plane, then only one line-defect mode remains." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 2629, "status": "ok", "timestamp": 1708610406162, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "0zCaXRT3k8od", "outputId": "52ca14d0-52fb-4609-8bc7-a9287de6281b" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running gme k-points: │██████████████████████████████│ 21 of 21\r" ] }, { "data": { "text/html": [ "
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
       "┃ Steps in GuidedModeExp: 189 plane waves and 1 guided modes  Time (s)                  % vs total T ┃\n",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
       "│ Guided modes computation with gmode_compute='exact'         0.709     │████████████--------│   61% │\n",
       "│ Inverse matrix of Fourier-space permittivity                0.002     │--------------------│    0% │\n",
       "│ Matrix diagionalization using the 'eigh' solver             0.066     │█-------------------│    6% │\n",
       "│ Creating GME matrix                                         0.268     │████----------------│   23% │\n",
       "│ Creating change of basis matrix using sparse matrices       0.108     │█-------------------│    9% │\n",
       "├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
       "│ Total time for real part of frequencies for 21 k-points     1.164     │████████████████████│  100% │\n",
       "└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n",
       "
\n" ], "text/plain": [ "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 189 plane waves and 1 guided modes\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m % vs total T\u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│\u001b[36m \u001b[0m\u001b[36mGuided modes computation with gmode_compute='\u001b[0m\u001b[1;36mexact\u001b[0m\u001b[36m'\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.709 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│████████████--------│ 61%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mInverse matrix of Fourier-space permittivity\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.002 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│--------------------│ 0%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mMatrix diagionalization using the '\u001b[0m\u001b[1;36meigh\u001b[0m\u001b[36m' solver\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.066 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│ 6%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mCreating GME matrix\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.268 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│████----------------│ 23%\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mCreating change of basis matrix using \u001b[0m\u001b[1;36msparse\u001b[0m\u001b[36m matrices\u001b[0m\u001b[36m \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m0.108 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│ 9%\u001b[0m\u001b[32m \u001b[0m│\n", "├────────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n", "│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 21 k-points\u001b[0m\u001b[1;36m \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m1.164\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\u001b[1;32m \u001b[0m\u001b[1;32m│████████████████████│ 100%\u001b[0m\u001b[1;32m \u001b[0m│\n", "└────────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
Skipping imaginary part computation, use run_im() to run it, or compute_rad() to compute the radiative rates of \n",
       "selected eigenmodes\n",
       "
\n" ], "text/plain": [ "Skipping imaginary part computation, use \u001b[1;35mrun_im\u001b[0m\u001b[1m(\u001b[0m\u001b[1m)\u001b[0m to run it, or \u001b[1;35mcompute_rad\u001b[0m\u001b[1m(\u001b[0m\u001b[1m)\u001b[0m to compute the radiative rates of \n", "selected eigenmodes\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(21, 50)\n" ] } ], "source": [ "kz_symmetry = 'odd'\n", "\n", "# Define a BZ path in kx and run the GME\n", "# we reduce the number of k-points, to reduce the computing time later\n", "nintervals = 20\n", "nk = nintervals +1\n", "path = lattice.bz_path([[0, 0], np.array([np.pi/Nx, 0])], [nintervals])\n", "\n", "kpoints = path['kpoints']\n", "#print(kpoints)\n", "\n", "# change of basis for symmetrization can be done with dense or sparse matrices\n", "# in this example with a low number of plane waves they are almost equivalent\n", "# sparse matrices have a more favourable scaling with the number of plane waves\n", "# symmetrization + sparse matrices + autograd is the newest feature of the code, still in beta-testing\n", "use_sparse = True\n", "\n", "# we consider only xy-even (TE-like) modes: this is the only polarization yielding a photonic band gap\n", "gmode_inds, numeig = [0], 50\n", "\n", "gme0 = legume.GuidedModeExp(phc0, gmax=gmax, truncate_g=truncate_g)\n", "gme0.run(kpoints=path['kpoints'],\n", " gmode_inds=gmode_inds,\n", " numeig=numeig,\n", " verbose=True,\n", " compute_im=False,\n", " eig_sigma = 0.0,\n", " use_sparse=use_sparse,\n", " kz_symmetry=kz_symmetry, angles=path['angles']\n", " )\n", "\n", "freqs = gme0.freqs\n", "nfreq = np.shape(freqs)[1]\n", "print(freqs.shape)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "executionInfo": { "elapsed": 717, "status": "ok", "timestamp": 1708610250914, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "1w5cUcTTlq1Q", "outputId": "dec1f9e9-ec5f-48c1-aab7-aadbc181a07b" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the (folded) waveguide bands\n", "fig, ax = plt.subplots(1, constrained_layout=True, figsize=(4, 4))\n", "ax.plot(kpoints[0, :]/np.pi, freqs, 'bo', markersize=4)\n", "ax.set_ylim([0.25, 0.35])\n", "ax.set_xlim([0, kpoints[0, -1]/np.pi])\n", "ax.set_xlabel('$a k_x/ \\pi$')\n", "ax.set_ylabel('Frequency')" ] }, { "cell_type": "markdown", "metadata": { "id": "yeqaEBJXBPNe" }, "source": [ "## Compute gradients\n", "\n", "We can use `legume` and `autograd` to efficiently compute gradients of GME simulations. We will define the objective function as the mean-squared error between one of the waveguided bands and a target band shape. Let's first illustrate this target." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "executionInfo": { "elapsed": 602, "status": "ok", "timestamp": 1708610253767, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "cigF3q0iBPNf", "outputId": "f7f51c19-f8d8-47ea-ff4c-ab3128cf7040" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(29, 0.28596774982061113), (30, 0.3009307506395018)]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define a target band shape and which band we will try to optimize\n", "kpoints = path['kpoints'][0, :]\n", "\n", "#f_target = -0.01*np.cos(kpts*Nx) # Just a cosine target\n", "f_target = 0.005*np.cos(kpoints*Nx) # Just a cosine target\n", "\n", "# we pick up the inde of the line-defect band to be optimized\n", "jk = 5\n", "result = [(j, freqs[jk,j]) for j in range(nfreq) if ((freqs[jk,j] > 0.28) and (freqs[jk,j] < 0.31)) ]\n", "print(result)\n", "(b_target, frequency) = result[0]\n", "\n", "#\n", "#b_target = Nx*Ny - 3 # Index of the middle waveguide band in the folded structure\n", "\n", "# Plot the folded waveguide bands and the target shape centered at the target band\n", "fig, ax = plt.subplots(1, constrained_layout=True, figsize=(4, 4))\n", "ax.plot(kpoints/np.pi, gme0.freqs, 'b')\n", "ax.plot(kpoints/np.pi, gme0.freqs[:, b_target], 'go', markersize=4)\n", "ax.plot(kpoints/np.pi, f_target + np.mean(gme0.freqs[:, b_target]), 'r')\n", "ax.set_ylim([0.25, 0.35])\n", "ax.set_xlim([0, kpoints[-1]/np.pi])\n", "ax.set_xlabel('$a k_x/ \\pi$')\n", "ax.set_ylabel('Frequency');" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "executionInfo": { "elapsed": 279, "status": "ok", "timestamp": 1708610255397, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "CGhTI9wjBPNg" }, "outputs": [], "source": [ "# Define the objective function for the target band shape\n", "def of_sc(params):\n", " # Define shift parameters\n", " dx = params[0:Nopt]\n", " dy = params[Nopt:2*Nopt]\n", " dr = params[2*Nopt:]\n", "\n", " # Initialize and run the plane-wave expansion\n", " phc, Nholes_check, Nopt_check = wg_sc(dx, dy, dr)\n", "\n", " gme = legume.GuidedModeExp(phc, gmax=gmax, truncate_g=truncate_g)\n", " gme.run(kpoints=path['kpoints'],\n", " gmode_inds=gmode_inds,\n", " numeig=numeig,\n", " verbose=False,\n", " compute_im=False,\n", " use_sparse=use_sparse,\n", " kz_symmetry=kz_symmetry, angles=path['angles']\n", " )\n", "\n", " # Get the target band, ans shift by its mean value\n", " band = gme.freqs[:, b_target]\n", " b_shift = band - npa.mean(band)\n", "\n", " # this is a counter, to know the number of function evaluations in the optimization\n", " try:\n", " of_sc.counter = of_sc.counter + 1\n", " except:\n", " goofy = 0\n", "\n", " # Return the MSE between the shifted band and the target\n", " return npa.sum(npa.square(b_shift - f_target))" ] }, { "cell_type": "markdown", "metadata": { "id": "PDdQhEW0BPNg" }, "source": [ "We test the gradient computation. Note that `legume` (through `autograd`) computes the gradients efficiently, using one backpropagation to get the derivative of the objective w.r.t. *every* parameter simultaneously. Because of time considerations, for the numerical finite-difference check we will only pick one parameter at random. Also note that we initialize the parameters with some random small values, in order to break the high symmetry of the un-modified structure." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 51694, "status": "ok", "timestamp": 1708610309013, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "7N56YtQIBPNg", "outputId": "eed927e6-4e9b-4fdc-dccb-3b3a7e1d68dd" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Autograd gradient: 0.000086, computed in 28.8017s\n", "Numerical gradient: 0.000086, computed in 3.0875s\n", "Relative difference: 3.16e-05\n" ] } ], "source": [ "# To compute gradients, we need to set the `legume` backend to 'autograd'\n", "legume.set_backend('autograd')\n", "\n", "kz_symmetry = 'odd'\n", "\n", "# Initialize random starting parameters to break the high symmetry\n", "#dx0 = 0.01*np.random.randn(Nopt)\n", "#dy0 = 0.01*np.random.randn(Nopt)\n", "#dr0 = 0.01*np.random.randn(Nopt)\n", "#pstart = np.hstack((dx0, dy0, dr0))\n", "pstart = 0.01*np.random.randn(3*Nopt)\n", "\n", "# Choose one parameter index at random for the numerical check\n", "# We pick one of the dy-s because they have the largest gradient in the beginning\n", "ind0 = np.random.randint(Nopt, 2*Nopt, 1)\n", "\n", "# Compute the autograd gradients (NB: all at once!)\n", "t = time.time()\n", "grad_a = grad(of_sc)(pstart)\n", "# Print the gradient w.r.t. the parameter index ind0\n", "print(\"Autograd gradient: %1.6f, computed in %1.4fs\" %(grad_a[ind0], time.time() - t))\n", "\n", "\n", "\n", "\n", "# Compute a numerical gradient for parameter ind0\n", "t = time.time()\n", "p_test = np.copy(pstart)\n", "p_test[ind0] = p_test[ind0] + 1e-5\n", "grad_n = (of_sc(p_test) - of_sc(pstart))/1e-5\n", "print(\"Numerical gradient: %1.6f, computed in %1.4fs\" %(grad_n, time.time() - t))\n", "\n", "print(\"Relative difference: %1.2e\" %np.abs((grad_a[ind0] - grad_n)/grad_n))" ] }, { "cell_type": "markdown", "metadata": { "id": "Nc4Ga8gQBPNh" }, "source": [ "The two gradients match very well, and the `autograd` simulation takes *all* the derivatives at once." ] }, { "cell_type": "markdown", "metadata": { "id": "KvK0qyBKBPNh" }, "source": [ "## Optimize the waveguide\n", "\n", "For the optimization, we will use the `Minimize` class provided with `legume`, which implements either `adam` or `lbfgs` minimization. The `lbfgs` minimizer is just a wrapper around the `SciPy` implementation, and any external optimization function can also be combined with the gradient computation from `legume`. Note that `autograd` provides both a `grad` function as used above, and an `obj_and_grad` function that returns simultaneously the value and the gradient of the objective function, which can be useful for custom optimization functions." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 820490, "status": "ok", "timestamp": 1708611269704, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "14BzlzeDBPNh", "outputId": "0aa34b82-1a28-4b9b-b459-04a559824763", "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch: 1/ 15 | Duration: 61.41 secs | Objective: 1.724694e-04\n", "Epoch: 2/ 15 | Duration: 109.19 secs | Objective: 4.978757e-05\n", "Epoch: 3/ 15 | Duration: 50.45 secs | Objective: 4.491480e-05\n", "Epoch: 4/ 15 | Duration: 25.25 secs | Objective: 4.317438e-05\n", "Epoch: 5/ 15 | Duration: 25.39 secs | Objective: 4.108641e-05\n", "Epoch: 6/ 15 | Duration: 26.13 secs | Objective: 3.785686e-05\n", "Epoch: 7/ 15 | Duration: 26.06 secs | Objective: 3.126115e-05\n", "Epoch: 8/ 15 | Duration: 25.47 secs | Objective: 1.041440e-05\n", "Epoch: 9/ 15 | Duration: 24.99 secs | Objective: 6.151371e-06\n", "Epoch: 10/ 15 | Duration: 24.70 secs | Objective: 3.995997e-06\n", "Epoch: 11/ 15 | Duration: 26.59 secs | Objective: 1.842387e-06\n", "Epoch: 12/ 15 | Duration: 25.68 secs | Objective: 1.306757e-06\n", "Epoch: 13/ 15 | Duration: 25.45 secs | Objective: 6.321808e-07\n", "Epoch: 14/ 15 | Duration: 24.33 secs | Objective: 1.786523e-07\n", "Epoch: 15/ 15 | Duration: 52.48 secs | Objective: 1.342704e-07\n", "number of function evaluations, computing time = 22 553.5709767341614\n" ] } ], "source": [ "# Initialize an optimization object\n", "opt = Minimize(of_sc)\n", "\n", "# Run the optimization\n", "\n", "t0 = time.time()\n", "of_sc.counter = 0\n", "(p_opt, ofs1) = opt.lbfgs(pstart, Nepochs=15, bounds = [-0.15, 0.15])\n", "print('number of function evaluations, computing time = ', of_sc.counter, time.time()-t0)" ] }, { "cell_type": "markdown", "metadata": { "id": "z8Mgspd2BPNi" }, "source": [ "Finally let's plot the optimized band, and the underlying structure.\n", "It is important to check that there are no overlaps of the holes (they may still occur during the optimization, this is difficult to control, but it is most important that no overlaps occur in the final structure)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "executionInfo": { "elapsed": 2962, "status": "ok", "timestamp": 1708611431434, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "p5hpV_x7BPNi" }, "outputs": [], "source": [ "# Get the shifts from the optimized parameters\n", "dx = p_opt[0:Nopt]\n", "dy = p_opt[Nopt:2*Nopt]\n", "dr = p_opt[2*Nopt:]\n", "\n", "# Initialize and run the PWE with the optimized shifts\n", "phc, Nholes_check, Nopt_check = wg_sc(dx, dy, dr)\n", "gme = legume.GuidedModeExp(phc, gmax=gmax, truncate_g=truncate_g)\n", "gme.run(kpoints=path['kpoints'],\n", " gmode_inds=gmode_inds,\n", " numeig=numeig,\n", " verbose=False,\n", " compute_im=False,\n", " kz_symmetry=kz_symmetry, angles=path['angles']\n", " )" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "executionInfo": { "elapsed": 2862, "status": "ok", "timestamp": 1708611434293, "user": { "displayName": "Andreani Lucio", "userId": "01245186031719095236" }, "user_tz": -60 }, "id": "eMMr9iyjHL6K", "outputId": "6663e990-f310-41e7-e259-c3bdb9efd4d1" }, "outputs": [ { "data": { "image/png": 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", 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34n3LNzaoYZV48/NJLm1jyKFpCPvTzCY5G7y+/HmoiO0X0V4dwk+U4x/HXuL9HB+46uAuGnom48Mb8TljUhIG0Z9an0w7SuABPzBnL/B+LmbJESiJ7STK9urA/p0D+SHXbh3nqoO7YCAye3gj3imVFSSUCDWPOTcvkTGUl64WAXD5vqKax3tDAm67i90BuTPMa3oQYZjnHAIoGUa8u8/TYjRbxry3166tJ65CGOa5EJoSYWLISdAhwbyeoyRSMBydCLRyCnRoKCgemfLokGDQoaHcy4eG8tKBEotBh4by0oGP/IBOh/HBp3k942oYIjJ7eCPeKZUNAkVi5CxI5fUM0zsNiSOvcCob89BVnF+cDHRtz7n+8wvb4fziZCgo27/qgSIpzi9O5qUD2yMN5xcn89KB7dWRc/2ATocAL/rGBOi8HViIjI67vGfKzMwERVGYMWOGw3UFiOT4ceRSXs+Up8qxrc1OTmV/bLcDOcNXoCqZe17cn0d8ipzhKzhFM5JREuQMX8FLh8oUBXKGr+ClQ3lbfsFRfh7xqVcN8QDfGua55TtTVlYWVq9ejXvuucdpdQaLGChH9tSfi+sZiH89qT+nw8NQ26eN/ryiHeHsyKkzCBq3OlKQNGnD/0AOmKoq/blmaHcwUl2dIaLDvDwHZJQEwSKVXgdazUKy50Sj/KGhqL03RX9e3gG86pdQNCpSAUVT+Q9fBFPeuOSv+Uc6GHmj8YeIDnOu312YG9bdtZsDa2pqkJGRgTVr1mDBggVOqzeK9sP9CxuDkhwqSwb5tfG+pn0rg/sd/fhHdJ3/2CZcGt0YHuzQ+HTgz7P684j38nBPUBEAINSOeAtNdThR3hr1exrvMSlxBvK3lV/nXf+HD3+D88Nj9ecHXuwF6mijMQW9ew3dQ6/qz+3RwdXohnmCoysAYOrUqRgxYgT+8Y9/2DQmlUoFlaoxPG9Vk17AGAlF452IxrhzW+TFWKtonCPUh0sN7tvDuMByILDx5RsSei+kisatDNNif8UA/fvHfzm5qQ57FJfxqaKH/p4yTO6w/I8EVAEBjX/DQaH94ddE/skt92GYomk4ZO9ZEm+ANfNd6a6MAbFp0yacOnUKWVlZnMpnZmZi/vz5drXVQVqC3IVP6s8lsbV21WONq88xIKMbh6oJ4j0AnLNtIVlSjtyFjXXTUfVOqbcpxc+owAxtbCNF4jz5XYUvDfNcFuqrsLAQ3bt3x549e9C5c2cAuthlXbp0wdKlS80+Y65nio+PR3luEqd42ZVs4wtIg7Ir1JU1alilwZbpYJFzo596q/xV1SxC217xSKivb7M7QhFo2GPWVTN4ssvfd0+or5MnT+LmzZtIT0/XX2MYBgcOHMCyZcugUqlA04Z/JEfz6zj75TbG2S+3Mb4uvytgCAXGyOPB+NxbcJkxDRkyBGfOnDG4NnHiRKSmpuLNN980MSQBAXOY88W76wKqBAYGomNHw4+G/v7+CA8PN7luCxXRQHVn3OyMjWsMYaG1sItIDNrhWAi2vK4d1cHV8gOGOqiIB4NQEhFYozkT66VzJp/Yz9R91/MQ+ckBmiBvxBqH68u81QFfHBlg9t4r/fdgRmi+Q/Wn/jQFYC0MRZygw5LyFCw/NMTsvcn3/o43wy86VD9gqANbrwTwnsN12oPQM1lg3759dj3X7r1ciCkp4CcHRjgux1dne6H9LPPLzhs29saMHvkO1d9+Tj6gMs3AB8ApOmzI7W1R/vVf9Mab9zpuTE110BI1+H+lcw4sTOdIQnQiB2CqqkFRElD1SqysaAkAkFAMJgWXcK4jT1ODn2vbAQDYYj8DT4amVBSn6tsYGXCB067WBlZXxuq2CZSXg2jN7wlq0EFEEbwQXMy57gJtDXbW6OSvKwqwKL+6yF8v/4MBF9CKh/xfVEZDQ3Rz2aY6MB7cLNjgj2d8zRvxCWNqgGg12DhvFABAo6AwaeEKzs8uuD4MOUt0c7U2ebUWBwopX6mw8XddG3mzW3AOwAIAXyx8CGIVQQDzh8UyDTpo5RRe+JC7/B/fHIyTH+lWRlMK6iyWa/NtLTYe0cl/+o14LG95jHMbqz58GJJ63V/Gmg7uRENoiAltdE0Y5jkOIQj4Xvdy0BHhYD5gOU+2z9yKQeidZ639U1BH/0LAUd1/n50SA3A0JoawCNv+N9jqausF7+hAhwSDyeQhf3msXnerHD+DgDt5pE8/mwS05FQ9GMIiYkeOge+eN2D+o6139kzeKRUHSL0SnY4+w6ns9toA1O/jnsKygSu/JOLXem5L+B0OTQDhkbKRKFVIOzyeU9nddTLc/I2jVTShYl80fqrj9m2p45HxIJbmeR5E2LbuBtjaWrR+n1usgrVF/RG/5qztgkYkLDuLTWW9OZVNfreW18vIKpVImms7nh0AfH2zD1qv4C9/q5VnsfEGt0yJiXNVuihIXobxlnVz0Yq8BZ81JgAQlVZwKlevlYCp4JZ1vClMRSXqGY7fhEpv866f6zNKRmy3/HVajvuTblXwrt8dsGZ6JW9dgPBOqQQE7tDw0db44MuBAwcwatQoxMbGgqIobN++3eA+IQTz5s1DbGws/Pz8MGjQIJw9y280IBiTJ/HCrBPehrN22tbW1qJz585YtmyZ2fsfffQRlixZgmXLliErKwvR0dG4//77UW1rQakJPvuvSclkyJ+QxKlsvxaXoRzV03ZBI2of6YVewXmcyhY+155XABNKIkXhxBTbBQH0Db2Cuof5hzerH9MT94Zd5lS2YEIbUBLv2rIOOK9nGj58OBYsWICxY8ea3COEYOnSpZgzZw7Gjh2Ljh07YsOGDairq8O3337LuQ2fNSZRgD/WvfAvTmVnhGXhega3yX5T6sZX4Jlgbhv01rz0GSgeHu8iPzm+eImb/JNCzqL86RrOdTdQmlGPyaHcog19OflfEPm71mvdHhiY6510VFVVGRwqO1cj8/LyUFJSgqFDh+qvyWQyDBw4EEeOcA8W6lvfmQCIE1oBANiQAPSUcVscCKUVaN2iXP8sqa4Bc8v85J+OCAcVoAukkhp+k/O2iN5yGlRCHMS19dDmF9jUgQ1QcJY/WOSHNuFl0DTIX1MLpuyWTfmTW5Rxlr+nTALSKgbiO+HHbOngLsw7uurO4+PjDa7PnTsX8+bN491GSYnOkyYqKsrgelRUFK5evWruEbP4lDFRYjEKl+peFLmEn4vL9Fa/4p2lD+nq2ReH6KXmf3EKnmsHUW/dh8uZ0T/xauPGhwQaxh8xY2mANe/V3aCDhLaV+8KQyS33YdZS3RCFHI5D7GLz8l8b3w7or5M/M24brzbKFrJQaXV/X2s6uBNrH20LCwsNNgc6shcOACjKcC5GCDG5Zg2fMibQNE73/M6uR0f712H0nWeTqydaLtiz0u42TqZ/DwAYRvcEsfQi2qnDMIUKw+48l6p+2mI5Zfda5Nopf1a37xvbs6aDGyFmAqqQO+dBQUFO2WkbHR0NQNdDxcQ0pny7efOmSW9lDZ8wpvKneoKWykHEAOC4z1haq+u4PrGP2XvdYvh/HDWmbHw6KAvvoTN06NKyCJctyH9PnOMe44ChDoxaCXz9g1Pq5Ys73IkSExMRHR2NvXv3omvXrgAAtVqN/fv3Y9GiRZzr8Qljev21TVAE0hA5yfl+WeJ/certaLP3ustK4GiQkffe3GDxw6IzdPg4fgdOWJC/mxPkBwx1qKtm8PTXDldpF87Kz1RTU4NLlxrzVeXl5SE7OxthYWFo1aoVZsyYgYULFyIlJQUpKSlYuHAhFAoFnnzySSu1GuITxjTSvxZB/s77NWolDkArsaXVMcdfxNH+rnXLiRMHIM6F8gOGOlSxnttBZH5zIP934cSJExg8eLD+fObMmQCA8ePHY/369Zg1axbq6+sxZcoUlJeXo1evXtizZw8CA7mn8PEJYxK4e3FWzzRo0CBYC8RFURTmzZtn12pgA4IxCXg1wuZAD3CTqcWU/If058kBZbw29gl4J0KoLw9wShWGmpmNy5p7u6dg0bvZnhNIwCn4UoJonzem61rdRDxHlQCS1RinLyS0u/6enBIhlFaYfd4WZUytzW3SMTziLJijQU5jJBSFCJp7WhtzlDN1UHII1eWoDq6CmPGAIF6609anjem6tgaDNr4BAJBWUohFo1eA36Uy/T26XTXO9bVvbbf3wamg86y75Bx+5mO7X/qmOhijiVPhyv1f2lVvA72PTAYu2ZbNER1ciTkv8bs6P5OrKGXFSJzbmBSgaf+hvZKPxLm6AFW3nu4BcNtwakLUNhkCt1lPPFCaQSHCzgC1xjo0RflAV+B+++ptIPRHBUI22U6c4IgOroQlpsM61jvjqXjpsggHVESDd66OAdFq9YcxDdcVpQymFfXC+qpIXm18XhEPvzKNQRvmjjkFD2FaUS9oCD/3G3M6ND2kt9WYVtQLn5W35lUvoAvbNa2oF/zKGJvyN+jAV3534KwtGO7AO6XiQCmjQv0c814Axvj/kYecWWlY8OMjvNr4/NtRkGbb3s9UPScOObPSUMPy2wJgSwfx+XzkzErDym/4R61c9MPDyJmVBr8T3HLgVs+JQxnj/DQ2jtKQ7Mz48EZ8dpinIoDoUDanskxpKej9t+Hfhd8Gu+DLLKfQV6KDfwIANDzD9trSgamoBL3vTwTG8t8YGJgH0L+fshCR3BTRwT/huVCTlhGWxr2RnmkIfIB7BFhvgW6fgppHuG+dbm5Y28/kbXinVC7gVpo/9nTc5GkxeFObHIJjPb/wtBgeg4WZUF9eOszzWWOSUADp25lTWToiHNVJgELEL8ZBZZIIdGiozXKkb2ewA7tCwvMfWUIB7MCuYAd2BXobZqIXBQaCHdgVt9uJ7UpSVt0aoFtwD7xJ+naG48l6nA8xM18igjE5lyhaBtGCMk5l63ol4dWHd/Bu44Und0LdJdFmOenCm0hanIMAEb+dnlG0DEmLc5C0OAe18ww/3JK2rZC0OAfPTPiZV50NzByzA7W9bcvegHThTYTRju1UdQW+FITSZ+dMMkqCj5K2YJa4n82ytZFiTA4p4t3GjNB8/CdCgkAbUYcWJ2xBe6kCfLOVyygJVsXpApvvDpNhqbiT/p46VK6/Zw+TQ4qwNoqGn5Hs+k8IIhqUqPGlXJywBTLKPi8RV+JLcyafNSYAaCHSIv9dDiG82ts/gS95SI1bHa23EU7vt7v+BpIktw10UcU6vrZW+0ANauINZU9ecxXaa0W4/movqJvs+HaGDq5A8M1zEzHiAOyZ+JHNcgqKAmCfq8zRgcugHGB9yTuSdtyvLVnsZ6CL3AGZGzjYeyXqehnK/tzuqaCuFeHpiT/jiaC/9NedoYMrMPddyVsXIHzamADwSuZlD5Fu8lejKZHTdTHna1eZokCoOg0d5Ftc/rdzBkLPJOC1pE//E8V1weghuwVHez53IBiTgNfSmEnQ+w0JEIxJQMBpCMYkIOAkCEwXHLx0B4ZrP9pmZmaiR48eCAwMRGRkJMaMGYMLFy64skmBZoYvfbR1qTHt378fU6dOxbFjx7B3715otVoMHToUtbW1rmxWoBnhS8bk0mHe7t27Dc7XrVuHyMhInDx5EgMGDHBl0wLNBGHOZIHKSl1e1rCwMLP3VSqVQY6dqqoqAED/P8dC7C/VB8Z3hE3VofjowlCL9+ek7sIjAVV21d07+1GotbZdisQ0i+Nd/2NXG4BrdWhK+snHQQgFpk4F4GOH67MHwZjMQAjBzJkz0a9fP3Ts2NFsmczMTMyfP9/kevRbKtBSGtjnuByLc+9HzAzLO2I//vx+PNJ5i111h84SQ1RnO6ka8ZMBe+1qAoBrdWhK1EwtKIaFllXhb4drsw9CKBAj4zE+9xbcZkzTpk3D6dOncejQIYtlZs+erY8BDeh6pvj4eGjzCkBJ/HBcpfNXo0GQLuO3naKcqcNFrQS3S4MQceWExXI3SrvhuEqDdhIt50RhAHBSpQbyCqHlMB8UKRQ4qVJ7nQ4NNPydmctXAZaBlnhuD67gTmTE9OnTsWPHDhw4cABxcXEWy8lkMosJqwjD4Pl/vQIAYGTA368s5yXDh2V9sXtDX7TOtf5ixH8vxvOnXsGYifsxvwX39DLjV81AnOo4p7JErcb4lTO8TocGJn3+CkRaIJrlnoLSVQjDvDsQQjB9+nRs27YN+/btQ2Ii9/01ZirTZ/ujQ4KBV/g9vv96G4vZApsi/99xRAPY/2AKwONFbLUmB4yZCEnmIFotWq0663U6NBC37BRYJf8cwK7Al4Z5Ll0anzp1Kr7++mt8++23CAwMRElJCUpKSlBf794oOIeVLG5nc991CvD79Rt9cRiIkl9kIqLRYmTucF7P8MWeX/AHLzwIwnguhYwxvrQ07lJjWrFiBSorKzFo0CDExMToj82bN7uyWRP+VXw/UlZdc1n99e/EgK3jl5OJrauD6h3uKR7dBfNmOIhG7Wkx9DT0TMaHN+LyYZ4roMJsx2VoSp1WClJe6RJZAEBSVgOGr66EQFJqKWGZeeRirS42RLXrohWJS6vAbbDqHoiZnshbjck79/9agZJIkbsghNczE2MP49rz5pfjncGluX4QKfht+RbJ5bg0j5/n9vOtD6L42U62CzrAhQ9CQdnYpu9OCABCjA5PC2UB3zMmqQQ5A/kFs38koAry+0pdJBFwvv96UBZWIS1ByWU4P2Adr2cyAm+BHVTB6xm+XBj4pVcZkxDR1cnUPtQdYoku3BUjpUBTh3nXkRZegouP9EJAQZ1B6hkTenZCbbwCaaGnOddNUyLcHtEO4noC/63HdT+flqAo1I7tCa2cAk3xj7vQvsUNFD/SCwH5NSAnTVfqqO4dUdNa1+Px0aEBmhKhckwXiDSNOmg1SuAHz2Rb96XVPJ8wpjFzfoU8QCeqhLIvuPw7Mbvw4/uF+Pcvw5BiJSnExfEKvDzoZzwU8Df4JFt++u2foCE0dv8vCkRleWWPEkvw6Ps/263Hgvgd2Pl+GpbtHI7kk6b3L2YEYPpQnU8kXx0a+Oe7uwzStihrtMjyjC2BJRQoB78zabVazJs3D9988w1KSkoQExODCRMm4J133oFI5LzBmU8Y05SQAgQFOqZ0siQAM0LzsTa+GiIrGbSD4yoxIzQffF/CqSGFAIA9QSkgVr7RUHI5ZoRy+7hrjrYSf7QNzcfyuDqzekjjau/ID9ibeX166FWD8yoxizl21eQ4DfMk42t8WLRoEVauXIkNGzYgLS0NJ06cwMSJExEcHIxXXuH5sc8KPmFMzuTplONYuWiwxfvTk39xqP7z/5cIWPtM46QfwowOWVi/yDRm4PPtvDNkl704Y5h39OhRPPTQQxgxQpdNJCEhAd999x1OnLDskmUPd50xvR52AdNHW/YKkFFiOPLGnx25jEMpfj555ngn4m+8MTrb5Lqj8nsb1oypYVdBA5bc0fr164eVK1ciNzcXbdu2xV9//YVDhw5h6dKlTpX1rjMmmhJBQTn+MluCbzxze3G1Ht6CtTlTfHy8wfW5c+di3rx5JnW8+eabqKysRGpqKmiaBsMw+OCDD/DPf/7TqbLedcYk4FtYmzMVFhYiKKgxLK0lJ+nNmzfr3drS0tKQnZ2NGTNmIDY2FuPHj3earM3SmBjCop4YusRIKBoyyhvzPAhYQ2dMxsM83f8HBQUZGJMl3njjDbz11lsYN24cAKBTp064evUqMjMzBWOyxWGVCBN+MlyliU0pxaF7tnpIIgF7ccYCRF1dnckSOE3TYFnnOvQ2S2M6UJOKdm8Z7g0tmdgZuMfCAwJeC4Gp+xBfd6JRo0bhgw8+QKtWrZCWloY///wTS5YswbPPPuskKXX4vDHVsWp8XtHe4NoPBfcgrDbX4JpfKYvFt5MNrvVVXMS98uaz8tUccUbP9Nlnn+Hdd9/FlClTcPPmTcTGxuLFF1/Ee++950xRfd+Y8rQMfnxniMG1oCpT74LQI9dMyq0Zdy9yB3zlUvkEHMQJXVNgYCCWLl3q9KVwY3zamDSEQQkTAL/ttj0KtIXX4FdouKeJ9O4DTX8GIlCgKds9lIZYdgGSUPwSnVmry576zMEQFqyZN88ZdbsNc/uXBN8851LJ1qPL3mmgqsVIwR921RF5iqBt1AvI6HocCyKtOL/eoeeJDFTcNr9t4sz9n3POPasiGqTumWzxfmBoHU73/I5TXdYYcWEULlyNNrn+v8HLkCblH2jFEzjDnchd+KwxlTEM2r+eB7AE9rmMAkE7shH8qwLfLO6FBcNsG1PIikDEZF02e+/2n1oEcJx+VbNqnewWUKYnARwSItrixpbWaL8px+R61uHWSJPedLwBNyB4jbsYhrD4rrI7mFu3HaqHVSoBpRKSknbI1dSircS01/m1nkaJNgQAICurt9jmd5VdESfV3csIvGW2zDfV4QCA29rWVmWXlsboy0aLKzDEj//PxWElC0Upa7ad/5Xeg8cDdrrNW8MhCGU6rBOMyXmUs/XY+cEgBOKY7cIcSNpWg6m9xmFv+x9N7k3+zwsIP6MbV4Tl5VrsBX9YMATsnb/m4x99bjIvYQiLz95/DABAsUCQFdlF+cX6src7Usgdv4KnRsBTP09Gh+PFZreg3/wkCSeWSDGA26jUowjDPBejJASBm51jSABAss7gcmE60N70XvRxFoqtujmZtf6hqTyaRYyJMbEgCP6Gm8xMebm+rHRMT8COj/Shf9HQ5heYvee3/TiKF4UC8nL+FbsbZ3xochPCRxYrjL10P/wL+UUdAoAuB583udbx0ES7ZFAU1mLMxQd4P1fVX4nrr/UFnZJkcP32xD64/lpfJPnYnMkXohMJxmSFq9+0AU7n2i5oRMrrpSZL321mltknxOmLuPZ1ku1yRuzt9xm+mvYpqjobxgu858Uz+Grap+gq9aF/emJ0eCk+OcxzF9IqYnULuiW0RcWcrnGBaNSQVfJ/gxIlul22NTE0gpr0Tj2C/kAXnsFfPImwmifgNfR46i/8NSxWf36ffy58JTk0AJ+aMwnG1MxZE38YMNhD50OGBACg7hzG17wPHxo4N+JPiVD2Yh/cntjH4bpIn84oe7EPOiYWOUEyHbee7wOR0T942Qv2ySqOj8P1/l76U+wOjOdLXjxv8kljChLJkfnGWmS8vsvhuq6OUCDzjbVYnvhfJ0im471ZG0x8/T6YxS9wZgN1aTHYOvLfzhDLNxGMybXQlAhDFRrc738e4paxEEfzD4Av8veHuGUs1JFaDFVoECc2DYulDqIgbhkLSsLNU0DcMhbilrF4QGEa1/x+v3r9fS5QYjHELWNRGyX2qQUDp9PgAWF8eCE+PWeKpQkufxoOVYUcbV+4wevZypGdcPuRWkxKPWixTOuMSzg3JBqJC0NAss/ZrPPCR1EQS7QQw9Qrm6ZEuPxpOFhGhMR/2l7ZE7VNwuV5MiS1uGqzbHNG8IBwE6G0Ajn9NuKnOjn+jVRez95Oo5DTb6PVMlvb7AXaAINaPg9Ztu06D/b/DDHiAFjq8HP6bUQlW4/HYXv+pI4KQE4/+4aGzQphNc+9RNNVqMzozesZ0s527tkGrvcRIzTEdv0K0VGbZeSUmJOslck+OQJ3PoKjq3vpKKUw/b3/8HomTVoMgNtc5LNxa1HK2I6CE0DZrk9GSTjJGk7zy93UXKGI7jC+5o00C2OSURKL2x6sPMW55FCFBgCX+rn1JvxlvYsRhnkCAk5CGOYJCDgJoWcSEHASgjEJCDgJwZgEBJyED82ZXP4xY/ny5UhMTIRcLkd6ejoOHrTscSAgYEzD0rjx4Y241Jg2b96MGTNmYM6cOfjzzz/Rv39/DB8+HAUF5mMTCAiYIDi66liyZAkmTZqE5557Du3bt8fSpUsRHx+PFSv4R9sREPB2XGZMarUaJ0+exNChQw2uDx06FEeOHDH7jEqlQlVVlcEhcHdDwcwwz9NCWcBlxlRWVgaGYRAVZbg9IioqCiUlJWafyczMRHBwsP4wTrMocBfiQ1swXL4AQVHGwTCIybUGZs+ejcrKSv1RWFjoavEEvB0fmjO5bGk8IiICNE2b9EI3b9406a0asJQtW+Auxoe+M7msZ5JKpUhPT8fevXsNru/duxd9+/Z1VbMCzQxfWhp36UfbmTNn4umnn0b37t3Rp08frF69GgUFBZg82XI6FQEBA3yoZ3KpMT3xxBO4desW3n//fVy/fh0dO3bEzp070bp1a1c2K9CcEIypkSlTpmDKlCmubkagmeJLmwOFvdEC3g1LmT94UlRUhKeeegrh4eFQKBTo0qULTp486VRRm4Wjq4po8ENtBK9nUqU3cI+UW4KiffUi3GQCbZZ7xL+cU27c72uCbZYJp2vsSnLW3HBGz1ReXo57770XgwcPxq5duxAZGYnLly8jJCTEaXICzcSYzqtZfLLgSV7PVI6ssRmdqIEXNr+IUNNsliY8sHAJginruWJVRMNJ1qokCudfWM5JvmaNE+ZMixYtQnx8PNatW6e/lpCQ4KhkJjQLYyphghDyle3IQE2pbNMH6MetbOxhLWQ/Zdksp/qAtVlGQxhOsgYO7ga8wEm85o25pfA758buZpa+U+7YsQMPPPAAHnvsMezfvx8tW7bElClT8Pzzpnm0HMGn50yVbD3SjmbgpX1P83429DxB2tEMLLqVYrHM41eGIO1oBuTF3BKe9Ts0BWlHM8AQ80aVdjQD3Y9w+weU3qhB2tEMuxKdNSuseEDEx8cbuJ9lZmaareLKlStYsWIFUlJS8PPPP2Py5Ml4+eWX8dVXXzlVVJ/uma5pgYQZlQBbbjZ3qzVC/ncWYYeCsfLdQXhz5EWzZS590xYJ/ysEU8Ity17KG2UARUF7jAFt9DvFEFYnK8BJVvZiPhJmRKJ4SBKwkFPzzRMrw7zCwkIEBTWGYLPkPcOyLLp3746FC3V/yK5du+Ls2bNYsWIFnnnmGaeJ6pM9E0NY7KsX4bfaVGgLr9mVSIytroa28BqkpWLsqxfhutY0Tp2sgkBbeA1Eo+ZUp/ZaEbSF1/B7vWnc8n1KiU7Wwmuc6iIaNbSF16C4ocVptZLTM80Rax4QQUFBBoclY4qJiUGHDh0MrrVv397p++p80piqWCVe/WQyNix50OG6Wu+sx6ufTMbU/IedIJmOtz9+1mSo98bH9k2A/M+VYMxPrzhDrLuWe++9FxcuXDC4lpub63TnAZ80plrCInL5EYR/wW/RwRzU4WxELj+C7CutnCCZjhYrj4I1Gpu0WGGfrNqrhYjZ751bDtyCE7zGX331VRw7dgwLFy7EpUuX8O2332L16tWYOnWqU0X16TmTgG2mFPXGX7ca09h81f4rJEtMh6HeijO+M/Xo0QPbtm3D7Nmz8f777yMxMRFLly5FRkaG8wSFYEzNniMbuyH258YFlL3b2iE5xHlZEt2CE9yHRo4ciZEjRzpekRUEY7KCOpACJZFyXoBowFzyNXFMNLTXze8wtgYlkUIVxH+YV6CtQQUrRkAxA+bCJf31P2ta4bTiMtpLJJBQpnmkvA4fcnT1yTmTu2iZkQd0bsv7uQufxJq8qLmfRNsnxD0piH4qn/djQw5NQ8bymQg6XWZw/eTqLshYPhOn1b7hquRL+5kEY7LCjpTdqG3FPzt59kDT6EvnBn5hlwx18f74X1v+uXsDD/gh9qMjYHIvG1wPX3sUsR8dwUU1/9SlHkHYtu5a5BSF2kd7wf+/fzilPio9DYlxpWbv3eghQoRUl5ws5OcLYMrLzZareawXCK0bjkkoU9cjEShUj9PVQ7FAwPfHLMpDh4ai4oF2AIBbnexbyavoxCKmdTy0V03jaChH9kSsJNuuet2NL23B8EljChX5Yci7h3DsvxKn1Jc3Ngg/pqwGYNoLLXtsLYofDgUAbLo0FDhh3piGv7sfcdLbAHT5ooyhKRFemLcVAHBbG4Cfv7ecPI1NiNWXjRabJpvmwvrhqzB7/2QEmDGm0DeuoptUCYCb17xH8aE5k08aE02J8EzIH8gKHQUQFkyFfS8cJZNBpFBAHa1BW4n54Zwu0ZluNWxDuBx+oaFmyz0T8iNamcnY3pQJQbp6ypg8/BJqeWVJGS7Xl7WXAXKgLkKEYDPyjor8CwEiHzAkQDAmdxBB0zi/OBmiajHavGp5yGSN6tFdUPwAg392O86pfNnkOtQ8lmz2XpiI+58yUCTF+cXm6wEA/7B6znVZI+KRQpzvZtpOb7+dAKxvFfEWhGGeGwgW+SFn+AocUsrx0aud7KrjZroIOcOXQQwaXNZiTvXcCBbmPcJlFPdfehklQc5wyyGiRRABcHzZemfqdrCppvLKbOy58iqEnsk9yCgJWtC1UI7saXBdWq2BaP+fBtfEcS1R06WlwTWqdZ3Z+Y0ldMvdzvk2w6dde3GmvB5DMCb30UYswv0LDxhc25rfGS32G5ar6BuP4e/sM7jWzz/XxdIJOIowzHMjCpEU70QY7ilniAjHFCEG1+paiEzKCfgAQs/kWQYHnsNXCw0DXUa2u+EhaQQcQeiZPMy9MhanHv3U4JoENACpZwQSsB+hZ/IsNCWyGSVIwEcQjElAwDlQME1u5q1bJe86Y2IICy0se0yLQXMKJGkJFdHYLOOMZXFLejgqv9ch9Ezey5LyFCw/NMTi/Vf678GM0Hy760/dOQVgrPx20gR5I9bYXX8Dmbc64IsjA0yuT773d7wZbj7aki8iLEB4MRtye6P9LMtL5Bs29saMHvl219/h3QKQOivuQH5yYITd1ev56mwvs3qs/6I33ry3+RiT0DM5mS8qY+DH6EQVUQQvBPMP7ZWnqcHPte1QVxQAxkri6YriVKysaIkHAy7YdFw1lDEaGkKDKa8AUakslqPqlVhZ0dJuPS5rarC3th3YYj+zeqiL/LGyQufpwVeHBlZXxoJtkje2vkYL4ArvepyGlxqPMT5hTJsyh0Ms0fm+MVLghY9W8q5jwfVhyFnSESkF1qOzpnylwsbfR+H0G/FY3pK7A+2qDx+GpJ4gQG19jxXRarBx3iho5RRe+NCyf54l5lwbjcJ/tUWbvFqz71ibb2ux8cgoAOCtQwPr/m80RE0iZWo1SgCHedfjDIRhnpMJ2JoF8Z1Ju8jfH8wilvck+8ytGIRa2ZDXAHX0LwQcBf6elAi0tFkcgG4xIGJHjsWNgwYQgoDvj4EOCQaTyV+PszejEfv9Mcs/1sfPIOCOEzwfHRpgCIuQrdlglY2BL7UcFlVchg8N83xu2YdotehwaAKvZ7bXBqB+XwvXCASg45HxVod25iBKFdIOj+f1zKbqUIgOhPB6hi/tD04A0fINNu06hBgQLoSoVEh+xzSUsTXWFvVH/JqzLpIISJyrAlvHLbh/A6xSiaS5/MIeryoYgJZf/M3rGb6kvF3lVcbkSzEgfM6YAAClt3gVV4jVoAJcF3hRG6oAKJ6fEilK9xwP6jUSq4snzoAJ864AlULP5GVMi/0VlyY7L/yxMaL/K4VIwc8wRH5+EC0os13QzTCLKkFJvMiHUeiZvIsBciC0m/noQ85gd+pPoKT8XkBKKsHu1J9cJJH97G3/Iyjai14LwZiA/Px8TJo0CYmJifDz80NycjLmzp0LtZpfdFQ9FIUb0/vixvS+KHwujffj/aMv48b0vlAP62G1nOrBHrgxvS8GRF2yWs6YwufagxJzWxylxGKv1KGB4pe64cb0vnY962x8aZjnsqXxnJwcsCyLVatWoU2bNvj777/x/PPPo7a2Fh9//DHv+iiaxuevLgMA0CDgux377RaHMebVk3jq9xfQdrflcgVPMNjYfxU6SJQAuA/d1rz0GeYvH8Bp8k5JpVgz5TN4mw4NrJr+GRhQeP/zHgDr4civPrQ07jJjGjZsGIYNG6Y/T0pKwoULF7BixQrexiRuHQeRVIF75SfslieUVuBeGghtUQ1xguX5U2SLKtwrF4HvS9hbToNKiIO41nZkIaKQo7ecf2wGV+vQQINs4oR4gGUBVgVctasqh6EIAUWIyTVvxK0fbSsrKxEWFmbxvkqlgqrJ95qGBMDXPvSHWGE+KxxfXmv3CxYtHWrx/jttdtpd940PCTSM7XDKYpHtRNLWcKUOTbm2xA8EAFMnBv7plCr540M9E0WIe8z88uXL6NatGz755BM899xzZsvMmzcP8+fPN7lenpuEoEAvmhTfZVRVswhtewWVlZUGOWRd2mZVFYKDg9E14wPQUsMwaoxaiT+/meNWebjA+w2dN28eKIqyepw4YTgcKy4uxrBhw/DYY49ZNCQAmD17NiorK/VHYaFpaF+BuwwfWs3jPcybNm0axo0bZ7VMQkKC/r+Li4sxePBg9OnTB6tXr7b6nEwms5jkV+DupFk7ukZERCAiIoJT2aKiIgwePBjp6elYt24dRCJhqCbAEx+aM7lsAaK4uBiDBg1Cq1at8PHHH6O0tPGjaXS0nYm/BO46fKlncllXsWfPHly6dAm//fYb4uLiEBMToz8EBDjjgjlTZmYmKIrCjBkzHJXOAJcZ04QJE0AIMXsIeI4Z17vj0cv/wE2m1tOicMaZ3g9ZWVlYvXo17rnnHucI1wRhEnOXceSzHqiZGYMsVbinReEGIeYPO6ipqUFGRgbWrFmDUAt5thzBJ3baWuO61vbeJjklQihtnzdAGVMLjY1/vBg74iwYwxAWN5nGPVESikIEzT+fblPKmTooieEH4pALdSBZZ3BBGYtu0tP6687QwRVYmzNVGW1HsbUaPHXqVIwYMQL/+Mc/sGDBAmeL6tvGdF1bg0Eb37BZjm5XjXN9v7arjd4Hp4LOsx4d9vAzHzv84l/W1mPU1426qGM0yBu21qE6+2c9D815w4+abQoLoAWw7qthWBX8gP66M3RwCVZW8+Lj4w0uz507F/PmzTNbzaZNm3Dq1ClkZZnmG3YWPm1MpawYiXNt/3FuPd0DsNMJOmqbDIHbrLdRmkEhwsE0SFc0YQa6qAd1BoZZeYAD8p1BiFtvKLv2jiNuyyWG2RKdoYMroFjdYXwNAAoLCw08ICz1SoWFhXjllVewZ88eyOWuSz/qs8akIhq8c3UMiLbEZllFKYMvKqMxKdh22aZ8XhEPvzKNTU/wOQUPIdavCp/GHrmTYIwbKqLBa8X9AAB/l8dAps3X35NWqDCtqBfaKG7YFRTzi8poKEoZi7IbX59T8BA2J+/mJb9bsNIzBQUFcXInOnnyJG7evIn09HT9NYZhcODAASxbtgwqlQo07bjePrsAUcqoUD+H2/cq/z/ysGj7w7zb+PzbUZBm59ksVz0nDjmz0lDD8guqUsqokDMrDTmz0iCdF2xwj7pwFTmz0vDFhgd51dnAoh8eRsAR27I3UD0nDmWMc3LpOhNn7GcaMmQIzpw5g+zsbP3RvXt3ZGRkIDs72ymGBPh0zwSIDmVzKsuUliLochvUsWooRNx3xAZfZjmF7xId/BMAoOH5AURFAPr3U2bvsdXVoH8/hbCAnrzlBoDAPJ3eXBEd/BMeDOhlGXOrdzxX8wIDA9GxY0eDa/7+/ggPDze57gg+2zPxJexsHR4897inxeCN/5VK9DnBLyRYc0LYaeuFUH/8jdu7ewHO+yFyC8y5XPj9txfQ03bZZomLfPP27dvneCVG+GzPJKEA0rczp7J0RDjY/vegPprfv0Jlkgg0h497pG9nsAO7QsIzc5AtHeigILADuqA6nv8/U3VrgB3YFXS45c2YTSF9O8P1+d/540s9k88aUxQt4xwqq65XEpIW5+CtUdt4tfHCkzuh7pJos5x04U0kLc5BgIjf9hFbOmjTEpG0OAeTMqwEfLDAzDE7kLQ4B/XdkziVly68iTDaC7e/ONEDwtX47DBPRknwUdIWzBLrlpYJS0yCfzREC6qNFGNV3FHebcwIzcd/IiQItBF1aHHCFrSXKsA3QIqxDsaowqR2yQ0Ak0OKgJAi9I7oDBmHqEmLE7ZARtnnJeJKfMlr3GeNCQBaiLTIf1c3mZBWATGfHNHfEycl4PL4WN1J+2q72yh5SI1bHa1PWMLp/XbX31QHY1St+C21m+P2yHpUtLU94XJEB5ci7GdyDzHiAOyZ+BEA4L9V9+DnTxo/4NW3idDfU1AUAPtcZY4OXAblAOv/epG0/X5tTXUwRu6A3A0c6bccdffafvsc0cGVCD2TG2lI5tVBXoQ96X301ysTJXYl+jIm0g3+as6Q0xJe6W/HB5boDuNrXojPG1MD3WS3IV/SOJkfFHDeg9IIOA1hmOd+Iml/bE/52dNiCDgZCmaGeR6RxDbNxpgEmilOcCdyF4IxCXg1wgKEk/m5TgYFTYMGwTCF48vFBdoanFGbD1fWTVrm8K7T3XUyMBYGI87Q4Zq2Bn9ZkL+ztAxxTljQaKpDXZ0Hg/cLcybnsvDTp0BL5WDFwLD3+GcoN+blvEdwbaN5z4BOz/2Nda0OOlT/nMXPgrLw/jlDh1mFo5C7LtXsvaQJufg+6VeH6gcMdWDUSgBzHK7THoTA/U4mbMNxiCkJKJkMeM/x+s4UxKLNWvOeBVkPpgEOJhls8eVJEI35PFTO0OFUURxaW5A/e0hngJsHkVWa6uDRbOvsncP4mhfiE8akh2HQ7cQTAACZRIujnbdwfvSnOjnePfcQAMD/T8sxHUhWMLqJdW0sSfsPBvlx/5frnf0o1FoaLRgrScbu6CAVMzjW5b+c695TJ8Fb58YCAMQnAy2Wk53yRzd/nfwLO2znNaTs89cjUGl0r4RVHdyI0DO5CKLVImaG7uVgQv2BH7k/+++r/9A/S6ouwNIsoPXai6A26z50rv16AAYl7OPcRugsMUR1SmitJAhr0IEN9AN2ca4aK4sHNcpffdGi/PHrL4LaopN/2Zf3YVhb7o2EzJZBVKWLkGRNB7cizJlch/ZKPgCADg9DtkqFLhwC/Vey9cgvC0PCldM2yzKlpcCdHarnb7VFTSslAkS2g3CcVKmBvEJoa20Hd9ReyQcdFISTKjXSZbZ30NawSly81QKxV87xkv/arTRUsvUIFlmPrtQgP5VfBG1Fpc2ybsWHlsZ9dgsGW1OLJ9e+yqns0lvpiPqOf1Qa+Veh2FCVwqns+FUzQFTch1RsvRLPrJ7BqezaylQEf215aGeJsG8CsLqC227IZ1bPAMsh66G7EfYzuQGiUiFxfT6nsgdK28Bv+3HbBY0I+M8fOFqRzKlsqzU5nPLZNkA0arRee5FT2UO328B/yx+c625AsfUPHLzF7ceg9ZeXLC6aeBRhP5ObYL1oWcce50viRfJ7Kdbi5nkbvm1MAs0fYc7kHkhYsO1CAPzEGtB25D6lg4IgE3EcukXYEQg+nNszclprt/xymuM3Io5/S7dDLBxeiM8ak8jfH5ff4xazYGLsYVx7nn9YoqvTOuKJCG5zlYvzg3QfZDkikstxaR63vUb/jDyGgpf4y184uSOeiuK27f3SXD+IFN64bZ2YPbwRnzUmyk+Oc/3Wcyr7SEAV5PdxD8jYQOv78zFUwe2XPWfgl6Ck3ANFUnIZzg9Yx6nsCIUSLf5RxLnuBoLvK8Fo/zrbBQGc77+e14+B2xAWIFwERaF2rC6egcZfBJri7oOWFl6Ci4/0AgAE5NeAnDxrvmDPTqiN1/1C3xvCfQWNpkSoGJUGWkXgv/W45X/wOzpo5RRoinvchbSQEmQ3yF+gSwtjtvruHVHTWtfjpYXZ/q7WVP7bI9pBXK+T26oO7oTA1H3IC8Qyh08ZEyWW4NH3dRsA5RQ/f7F3Ynbhx/cLAQDLdg5H8knz5S6OV+DlQbo2xgb+DYC7B/ZT7/wEDaGx+4cIi8vkDTpILHnCWuC1yF/xw/s3AAD//mUYUiwk5riYEYDpQ3WhwR4K4Cf/02/r5AdgVQd3IrgTORlRYABElBSUXI4Zofy/FwFAsiRAn01ieVwdRIHmP4IGx1U2yTrBbyvD1BCdse4JTgJRmzd2e3VIbCL/2vhqi/JL42odlh8w1EFE1ID9AZ4cg8DMap5HJLGJTxhT7vx2EPnJnTbDy+iQhfWLzMeqm578i8P1n/+gjWXPZifo8HTKcaxcNNjsvefbOSdkV1Md2HolMNMp1fLHh5bGKeLFGZurqqoQHByMopw4BAXq3kK+2SDMwRAWKmJ+CCOjxKApx974Ota6J4GjOrhafsBQh6pqFi1Tr6GyspJTPiRn0PBvf1+nNyE2ijSrZVT47cwit8rDBZ/omRQiKRQi5y080pQICspxo7SEMwzeGq6WHzDUQSvynMuBL82Z3LI0rlKp0KVLF1AUhezsbHc0KdBcEJbGDZk1axZiY2Px119/ubSdGlap/28RRE7vIepYNdgmkyEuWzP44OvyuwQfmjO53Jh27dqFPXv2YMuWLdi1i8duOJ6cV9dhxI+NWzL8Ymtwts83Tm2jy8HnoS1rfAEPPPSJU4KXAECepgZDdrymP5dG1SGn30an1N1A+tFJUJU0ejnsHf0JkiXeGRZZj2BMOm7cuIHnn38e27dvh4KDq4pKpYKqyZ6gqqoqzm2dU0ej3Vt/689r708D+lh5wA7i14ohPdbYxtURCsQ56S94URNqIH/9gA6A+QVHu4laL4ffvsY2Lg4PR7LE8WhPLoWFadTJu81rnBCCCRMmYPLkyejevTvy8/NtPpOZmYn58+dzql9DGCwtb6s/31/WFmztdf25rEyNxbcb9yK1k13n7FrTwJaaIFxRt9CfS24rwTbZSbui5D4cCdJ9m5kRmss7U3lTHf4oTwRb2xjeWXZLaSB/iuwGxvjX8Kp/e20ALqqi9OfS22oD+dde748zoXn6c3t0cDW+tADB25jmzZtn84XPysrCkSNHUFVVhdmzZ3Oue/bs2Zg5s/GDRlVVFeLj482WvcHU48d3hujP6XoWUjQakySn0OD+ygEijB63krMsADD7vxmIPt7oqRCQZxg74tr/paBApjOG8Z+d5h3kv6kOtJJAikZjoi9eM5D/eh8aY57mFyLs9e1PI/ZwE/lzLxnIf+uDRPwobwxlZI8OLqc5D/OmTZuGcePGWS2TkJCABQsW4NixY5AZOU82pIzfsGGDyXMymcykvCUqWdrq7lmm7Bb8tt/Sn4e26AOGsJy+wTCEBQuC8DPEoA1jByDZrkafnop/AaEihvMvu4YwVnVgyssN7oUF9YGGMBCB4qxD6DlYlV+629AnqeJfQKR3dUy6TZfG+9R5bsTMzMzE1q1bkZOTAz8/P/Tt2xeLFi1Cu3btnCioHcYUERGBiAjz0USb8u9//xsLFizQnxcXF+OBBx7A5s2b0atXL77NGlDHqjFy1ytoC+5uOaG5Sjx2+QFsbbPXZtmHLo7A2bxYtL1sOzhKAw/sehWQMcgdutqmQamIBql7JgNKmrMOwZfq0HbPC+iaXMBZh5CL/GI6PLDrVZwduczl38l44YSeaf/+/Zg6dSp69OgBrVaLOXPmYOjQoTh37hz8/Z3XE7tsztSqlWEkx4AA3apRcnIy4uLiHKq7klWj/duWw12Zgz5yFhf/1x2YYftFLNyeiPYbc8BWVnF2A2s/+yIgolD3lxrBlPVoQNWsGu1fzwNYwlkHUdZ5tL8QgIuTUjnrEPPHCV5ubO1nX0TNCA0U8CJjgrnvSvyMafduw5zA69atQ2RkJE6ePIkBAwY4KF8jPuEB0RSGsPi6qjOY8nJezxGNGjTHH2pxPQFz6zY/uXjKw7d+olGDuXWblw58A6Qw5eX4tiqtiaOsF2ClZzJe7eU6Tais1IUzCwvjlomeK27bHJiQkABCCLp06eJQPTVEhW0L7neOUAImfP9/w2z6FrqVhsyBxgeA+Ph4BAcH64/MzEyb1RFCMHPmTPTr1w8dO/LfvWwNn+uZNIRF4KZjLm2DeGs2LcDlmb4CNx2D5mMvieYK6CI4GUdxunNeWFho4OjKpVeaNm0aTp8+jUOHDjlVTMAHt63LKRolr/R1aRtV/ZWgO7S1XdCIklf6Qk7Z/n2yVwc6rR3q+vL71sQXrjq4DYY1fwAICgoyOGwZ0/Tp07Fjxw78/vvvDs/bzeFzxhQgkuP/pq13aRt7+32G2135j6cXTf8CMkpis5y9OpR1D8MvfZfzfo4PXHVwG05wdCWEYNq0adi6dSt+++03JCYmukRUL/oJ4k4P2U3QKcNAMaw+9rglRAoFqJbRAAB1CLf6EyUBqI0RISwlCaSwGKxSabW8OCkBhBahu+wwAG5LrfboUBdDcc7MrgyjQKfoPsi6Sge34ISdtlOnTsW3336LH374AYGBgSgpKQEABAcHw8/Pdhx2rvikMYXRMpQtpVFV64/Wj1svq+3WFpWzdd+Lhkdzn2sNfOIkjg9uhZAF7UAdte7tfmVRIAIVSgTy+D5jjw73RVkI/GCGIY9k4Vi/BABwmQ5uwQnfmVas0HmODBo0yOD6unXrMGHCBAeEM8QnjUlGSXC8639wWq3EG+httWxdrBzHu67n3cayln8ALf9A/5gXYctFd2uPVWgvVQDgPjxytQ7/js0CYnXG5yod3AJrJtsZz7DY7tpM7pPG1ECISIuyF627hpd3dMzFuGgghdAW1tsIEdm/MtQcdHApzdk3z5toSSuQ+cZaq2Ui6RoA9gdX/M/of+PWCOtziEja/kiozUEHlyIYk3ugKRGHiKuORSnVJSOz1Yb9i6LNQQeXwpoJLm5PxhE34NPGJND8IYQFMfpoa3zuLQjGJODdEGLaEwnDPAEBOyBmhnmCMQkI2AFrJnWgMMyzn3xNDQI1hhPkRDui6tSxatxguHlER9FSuzbJ5Wm4+c75kvzVGg++vELP5Fwe3TgDtKwxxBYrI7gwkV88BABYUNod27ZxC/kz4bG9eDOcWwLnpgzf8AYorXXXblZCcGESf/mX3L4H3/z3Pk5lxz2yD3NbnOPdxrCNb0CkNpSfUSkBvM27LmdAWBaEEhYgnEb8RycgbuJ8SYcGAxP51/PT1TS0WsAt59Kufml2GVPiotO6QPdWoAP8gUm8q8ZPRTzk793BLmNK/iQHTKXhpjst0eAy75qchA/1TF76ccEIljE4iFKFKUXWXXCakq1SYWJBf9RdCDGpy9JRkBOF02rrRtGUF6/1wcSC/ro0LDbqJmo1Jhb0563DzZwWnOUvzYnAxIL+vHUgKpX5Oj2Flc2B3oZvGJMRbL0S597rxLn8kpL7UfRaMlK+5J6KM3VlOVaWDuJcPve9jih6LRlEazsJG6tSoei1ZN46tFt9y3bBO7RbcwtFryXz1oGt5xeExeUQ0rhBUH94pzH5xDDPBJaBIusKypk6hHJwgymqDYH4cDavACzMuVxcqGwFTSy38F1+f1ziHgeCEFCHs6GICOdUXEMYXKxogaDz3IedzPmLoABcq4vmVL6MqdXp4GUvKmEJiFGoL2/NguSTPRMAkLp6pG9/1XZBByjf0hJbamyHNXM131VHQb0t0qVt9Nw2E8TbeiXATK9kZhu7l+CzxsTW1aH9J9dtF3SAyDVZ2Hmb+1DMVfyvrDNafMl9L5M9tF9cZHMDoScgLDF7eCNePcxr6M610JjfXVlfg6pq279S2loVQPgllAYAaDRQ1Ui5tUHUYHi2QVg1p7pVNRpoNPb1GqJabm1olDUW5dfecZL1xPBKS1QmPZHWptOuZ/DqNJxXrlxBcnKy7YICbuHy5ctISkqyXdAJKJVKJCYm6reYGxMdHY28vDzI5d6TY8qrjamiogKhoaEoKChAcHCwp8Wxi4bkA8ZhqXyJyspKtGrVCuXl5QgJCXFbu0qlEmq1eY8PqVTqVYYEePkwT3Qnj21wcLDPvogNNISj8mVETswrzAW5XO51BmMNn12AEBDwNgRjEhBwEl5tTDKZDHPnzuWcs8kbEXS4e/DqBQgBAV/Cq3smAQFfQjAmAQEnIRiTgICTEIxJQMBJ+IQx5efnY9KkSUhMTISfnx+Sk5Mxd+5ci1/HvYXly5cjMTERcrkc6enpOHjwoKdF4kxmZiZ69OiBwMBAREZGYsyYMbhw4YKnxfJqfMKYcnJywLIsVq1ahbNnz+LTTz/FypUr8fbbnolLwIXNmzdjxowZmDNnDv7880/0798fw4cPR0FBgadF40RDhvJjx45h79690Gq1GDp0KGpruWegv+sgPspHH31EEhMTPS2GRXr27EkmT55scC01NZW89dZbHpLIMW7evEkAkP3793taFK/FJ3omc1RWVjo9W7azUKvVOHnyJIYOHWpwfejQoThy5IiHpHIMV2Uob074pDFdvnwZn332GSZPnuxpUcxSVlYGhmEQFRVlcD0qKsrilgJvhrgwQ3lzwqPGNG/ePFAUZfU4ceKEwTPFxcUYNmwYHnvsMTz33HMekpwbFGUYf44QYnLNF2jIUP7dd995WhSvxqNbMKZNm4Zx48ZZLZOQkKD/7+LiYgwePBh9+vTB6tWrXSyd/URERICmaZNe6ObNmya9lbfTkKH8wIEDLslQ3qzw9KSNK9euXSMpKSlk3LhxRKvVelocm/Ts2ZO89NJLBtfat2/vMwsQLMuSqVOnktjYWJKbm+tpcXwCnzCmoqIi0qZNG3LfffeRa9eukevXr+sPb2XTpk1EIpGQL774gpw7d47MmDGD+Pv7k/z8fE+LxomXXnqJBAcHk3379hn8vevq6jwtmtfiE8a0bt26hhi5Joc38/nnn5PWrVsTqVRKunXr5lPLypb+3uvWrfO0aF6LsAVDQMBJ+OTSuICANyIYk4CAkxCMSUDASQjGJCDgJARjEhBwEoIxCQg4CcGYBASchGBMAgJOQjAmAQEnIRiTgICTEIxJQMBJCMYkIOAk/h9Tl8FJzYfdywAAAABJRU5ErkJggg==", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the waveguide bands and the target band\n", "fig, ax = plt.subplots(1, 2, constrained_layout=True)\n", "ax[0].plot(gme.kpoints[0, :]/np.pi, gme.freqs, 'b')\n", "ax[0].plot(gme.kpoints[0, :]/np.pi, f_target + np.mean(gme.freqs[:, b_target]), 'r')\n", "ax[0].set_ylim([0.25, 0.35])\n", "ax[0].set_xlim([0, gme.kpoints[0, -1]/np.pi])\n", "ax[0].set_xlabel('$5a k_x/ \\pi$')\n", "ax[0].set_ylabel('Frequency');\n", "\n", "# Use an in-built legume method to plot the structure\n", "legume.viz.shapes(phc.layers[-1], ax=ax[1])\n", "\n", "# check also with the Fourier transform\n", "# we may increase gmax to have more accuracy, at the expense of computing time\n", "legume.viz.structure(phc, xy=True, figsize=2, cmap='viridis')\n", "legume.viz.eps_ft(gme, Nx=200, Ny=200, figsize=2, cbar=True, cmap='viridis')" ] }, { "cell_type": "markdown", "metadata": { "id": "c20XD35H49ks" }, "source": [ "The optimization works, but... we did not considere losses.\n", "\n", "In the case of a real device, we may e.g. set up an objective function that allows optimizing waveguide dispersion and losses at the same time." ] } ], "metadata": { "colab": { "provenance": [ { "file_id": "1gNfbBj4yg69geRT3k1R5bB39jGbQf6iS", "timestamp": 1708353735591 } ] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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 }