{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "P9-FPzw4D3-B" }, "source": [ "# Bound states in a continuum and Q-factors\n", "In this example we apply `legume` to calculate bound states in a continuum in a PhC slab. This example is related to Sec. 4.1 of the CPC paper.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 2437, "status": "ok", "timestamp": 1708439695279, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "21sd2KrpVpKj", "outputId": "c3422905-5a85-4752-8267-3b526768caff" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Version of the imported legume : 1.0.0\n" ] } ], "source": [ "import legume\n", "print(f\"Version of the imported legume : {legume.__version__}\")\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import copy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define the PhC " ] }, { "cell_type": "markdown", "metadata": { "id": "EyFLX0IoEvMX" }, "source": [ "The PhC slab consists of a square lattice of period $a=400$ nm, hole radius $r=100$ nm, etched in a suspended slab of thickness $d=80$ nm with refractive index $n=3.45$. It is the same parameters of Fig. 8 of the CPC paper, but we use dimensionless units here." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 3, "status": "ok", "timestamp": 1708439696112, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "Gztnn_Iy1LaP", "outputId": "40d2f0fb-e66e-4f28-f819-37acecb6c713" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reciprocal lattice vectors in the expansion: npw = 69\n" ] } ], "source": [ "D = 0.2 # slab thickness in units of a\n", "r = 0.25 # hole radius in units of a\n", "eps_c = 1 # permittivity of circular holes\n", "eps_b = 3.45**2 # background permittivity of slab\n", "eps_lower, eps_upper = 1, 1 # permittivities of lower and upper claddings\n", "\n", "lattice = legume.Lattice('square')\n", "phc = legume.PhotCryst(lattice, eps_l=eps_lower, eps_u=eps_upper)\n", "phc.add_layer(d=D, eps_b=eps_b)\n", "phc.layers[-1].add_shape(legume.Circle(eps=eps_c, r=r, x_cent=0., y_cent=0))\n", "\n", "gme = legume.GuidedModeExp(phc, gmax=4.5, truncate_g='abs')\n", "npw = np.shape(gme.gvec)[1] # number of plane waves in the expansion\n", "print('Number of reciprocal lattice vectors in the expansion: npw = ', npw)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 16883, "status": "ok", "timestamp": 1708439787546, "user": { "displayName": "SIMONE ZANOTTI", "userId": "14051006727806237496" }, "user_tz": -60 }, "id": "dV8zwnKmtmO-", "outputId": "68da5ca7-d048-4077-f576-04b8500e6835" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running gme k-points: │██████████████████████████████│ 41 of 41\r" ] }, { "data": { "text/html": [ "
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
"┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes ┃ Time (s) ┃ % vs total T ┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
"│ Guided modes computation with gmode_compute='exact' │ 1.641 │ │████████████--------│ 63% │\n",
"│ Inverse matrix of Fourier-space permittivity │ 0.002 │ │--------------------│ 0% │\n",
"│ Matrix diagionalization using the 'eigh' solver │ 0.181 │ │█-------------------│ 7% │\n",
"│ Creating GME matrix │ 0.756 │ │█████---------------│ 29% │\n",
"├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
"│ Total time for real part of frequencies for 41 k-points │ 2.601 │ │████████████████████│ 100% │\n",
"└───────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n",
"\n"
],
"text/plain": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
"┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 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[35m1.641 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│████████████--------│ 63%\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[35m0.181 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█-------------------│ 7%\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[35m0.756 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████---------------│ 29%\u001b[0m\u001b[32m \u001b[0m│\n",
"├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
"│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 41 k-points\u001b[0m\u001b[1;36m \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m2.601\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"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running GME losses k-point: │██████████████████████████████│ 41 of 41\r"
]
},
{
"data": {
"text/html": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n",
"┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes ┃ Time (s) ┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n",
"│ Total time for imaginary part of frequencies for 820 eigenmodes │ 3.580 │\n",
"└─────────────────────────────────────────────────────────────────┴──────────┘\n",
"\n"
],
"text/plain": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n",
"┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n",
"│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for imaginary part of frequencies for 820 eigenmodes\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m3.580\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\n",
"└─────────────────────────────────────────────────────────────────┴──────────┘\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of wavevectros = 41, number of frequencies = 20\n"
]
}
],
"source": [
"# Run the guided-mode expansion\n",
"numeig, verbose = 20, True\n",
"nk = 20\n",
"path = lattice.bz_path(['X', 'G', 'M'], [nk])\n",
"\n",
"gme.run(kpoints=path['kpoints'], gmode_inds=[0, 1, 2, 3], numeig=numeig, verbose=True)\n",
"freqs = gme.freqs\n",
"\n",
"nkappa, nfreq = freqs.shape[0], freqs.shape[1]\n",
"print(f'Number of wavevectros = {nkappa}, number of frequencies = {nfreq}')"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Q500tb7F8cez"
},
"source": [
"Plot the photonic bands and Q-factors"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the **legume** 1.0.0 version, `viz.bands` plots the frequencies as a function of wavevector along the path in the Brillouin zone by means of the kw argument `k_units=True`, which requires setting the xticks with `path['k_indexes']`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 547
},
"executionInfo": {
"elapsed": 1571,
"status": "ok",
"timestamp": 1708439789114,
"user": {
"displayName": "SIMONE ZANOTTI",
"userId": "14051006727806237496"
},
"user_tz": -60
},
"id": "TSAo6R_WB3nI",
"outputId": "2045ba9f-aee9-4248-e3ea-7ffea5386f29"
},
"outputs": [
{
"data": {
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",
"text/plain": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
"┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes ┃ Time (s) ┃ % vs total T ┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n",
"│ Guided modes computation with gmode_compute='exact' │ 4.670 │ │█████████████-------│ 66% │\n",
"│ Inverse matrix of Fourier-space permittivity │ 0.001 │ │--------------------│ 0% │\n",
"│ Matrix diagionalization using the 'eigh' solver │ 0.442 │ │█-------------------│ 6% │\n",
"│ Creating GME matrix │ 1.925 │ │█████---------------│ 27% │\n",
"├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
"│ Total time for real part of frequencies for 101 k-points │ 7.085 │ │████████████████████│ 100% │\n",
"└───────────────────────────────────────────────────────────┴──────────┴──────────────────────────────┘\n",
"\n"
],
"text/plain": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n",
"┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 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[35m4.670 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████████████-------│ 66%\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[35m0.001 \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[35m0.442 \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[35m1.925 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32m│█████---------------│ 27%\u001b[0m\u001b[32m \u001b[0m│\n",
"├───────────────────────────────────────────────────────────┼──────────┼──────────────────────────────┤\n",
"│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for real part of frequencies for 101 k-points\u001b[0m\u001b[1;36m \u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m7.085\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"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running GME losses k-point: │██████████████████████████████│ 101 of 101\r"
]
},
{
"data": {
"text/html": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n",
"┃ Steps in GuidedModeExp: 69 plane waves and 4 guided modes ┃ Time (s) ┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n",
"│ Total time for imaginary part of frequencies for 2020 eigenmodes │ 8.673 │\n",
"└──────────────────────────────────────────────────────────────────┴──────────┘\n",
"\n"
],
"text/plain": [
"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━┓\n",
"┃\u001b[1m \u001b[0m\u001b[1mSteps in GuidedModeExp: 69 plane waves and 4 guided modes\u001b[0m\u001b[1m \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mTime (s)\u001b[0m\u001b[1m \u001b[0m┃\n",
"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━┩\n",
"│\u001b[1;36m \u001b[0m\u001b[1;36mTotal time for imaginary part of frequencies for 2020 eigenmodes\u001b[0m\u001b[1;36m \u001b[0m│\u001b[1;35m \u001b[0m\u001b[1;4;35m8.673\u001b[0m\u001b[1;35m \u001b[0m\u001b[1;35m \u001b[0m│\n",
"└──────────────────────────────────────────────────────────────────┴──────────┘\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of wavevectors = 101, number of frequencies = 20\n"
]
}
],
"source": [
"# Run the guided-mode expansion\n",
"numeig, verbose = 20, True\n",
"nk = 50\n",
"\n",
"X1 = [0.1*np.pi, 0]\n",
"M1 = [0.1*np.pi, 0.1*np.pi]\n",
"path = lattice.bz_path([X1, 'G', M1], [nk])\n",
"\n",
"gme = legume.GuidedModeExp(phc, gmax=4.5, truncate_g='abs')\n",
"gme.run(kpoints=path['kpoints'], gmode_inds=[0, 1, 2, 3], numeig=numeig, verbose=True)\n",
"freqs = gme.freqs\n",
"freqs_im = gme.freqs_im\n",
"nkappa, nfreq = freqs.shape[0], freqs.shape[1]\n",
"print(f'Number of wavevectors = {nkappa}, number of frequencies = {nfreq}')"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "kjAWxieD3tgT"
},
"source": [
"We now want to plot the Q-factor versus the wavevector for the chosen mode, which has index jmode=2.\n",
"\n",
"But there is an annoying issue we should fix: unfortunately the photonic bands are discontinuous at ${\\bf k}=0$, as the code calculates one less frequency there."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 447
},
"executionInfo": {
"elapsed": 805,
"status": "ok",
"timestamp": 1708440094000,
"user": {
"displayName": "SIMONE ZANOTTI",
"userId": "14051006727806237496"
},
"user_tz": -60
},
"id": "CNuEMo-xC-uc",
"outputId": "7219fd47-66f8-4ac8-b10a-932f77346499"
},
"outputs": [
{
"data": {
"text/plain": [
"[