{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1D Bragg Grating\n",
"\n",
"This example illustrates the use of the scattering matrix in a simple 1D case, namely an uniform Bragg grating. Although the simulation is quite simple, it constitutes a good starting point, both theoretically and computationally. Indeed, most to the physics and of the computational methods showed here are the same found in more complex simulations. \n",
"\n",
"The grating in question is built by a periodic repetition of 2 transparent materials (dielectric constant 12.0 and 2.0, respectively). The duty cycle of the grating is 50% and everything is calculated in dimensionless units (or, equivalently, the period of the grating is set to 1).\n",
"\n",
"\n",
"## Import required packages"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import A_FMM"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" ## Transmission and reflection from a finite multilayer \n",
"\n",
"**Building the structure**"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/marco/Documents/MyPrograms/A_FMM/test/lib/python3.10/site-packages/matplotlib/contour.py:1568: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" self.zmax = z.max().astype(float)\n",
"/home/marco/Documents/MyPrograms/A_FMM/test/lib/python3.10/site-packages/matplotlib/contour.py:1569: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" self.zmin = z.min().astype(float)\n",
"/home/marco/Documents/MyPrograms/A_FMM/test/lib/python3.10/site-packages/numpy/ma/core.py:2820: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" _data = np.array(data, dtype=dtype, copy=copy,\n"
]
},
{
"data": {
"text/plain": [
"(Text(0.5, 0, 'z'),\n",
" Text(0, 0.5, 'x'),\n",
" )"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import cmath\n",
"\n",
"\n",
"lay1 = A_FMM.Layer_uniform(0,0,2.0)\n",
"lay2 = A_FMM.Layer_uniform(0,0,12.0)\n",
"\n",
"mat = 10*[lay1, lay2] + [lay1]\n",
"d = 10*[0.5, 0.5] + [0.5]\n",
"\n",
"st = A_FMM.Stack(mat, d)\n",
"eps = st.calculate_epsilon(x=[-0.5, 0.5], z = np.linspace(0.0, st.total_length, 1001))\n",
"plt.contourf(np.squeeze(eps['z']), np.squeeze(eps['x']), np.squeeze(eps['eps']), cmap='Greys')\n",
"plt.xlabel('z'), plt.ylabel('x'), plt.colorbar()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Transmission and reflection at normal incidence**"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"oml = np.linspace(0.0005, 0.6,1200)\n",
"DATA = []\n",
"for om in oml:\n",
" st.solve(om)\n",
" T,R = st.get_T(0,0, ordered = False), st.get_R(0,0, ordered = False)\n",
" DATA.append((T,R))\n",
" \n",
"DATA = pd.DataFrame(DATA, index = oml, columns = ['T', 'R'])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(Text(0.5, 0, 'k_0'),\n",
" Text(0, 0.5, 'T'),\n",
" )"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (10,4))\n",
"plt.plot(DATA['T'], label = 'Transmission')\n",
"plt.plot(DATA['R'], label = 'Reflection')\n",
"plt.xlabel('k_0'), plt.ylabel('T'), plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Transmission and reflection at an angle**"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"oml = np.linspace(0.002, 0.6,300)\n",
"angles = np.linspace(0,89,90)\n",
"DATA = []\n",
"for om in oml:\n",
" for angle in angles:\n",
" st.solve(om, kx = om*np.sqrt(2.0)*np.sin(np.pi*angle/180.0))\n",
" RE, TE, RM, TM = st.get_R(1,1,ordered=False), st.get_T(1,1,ordered=False), st.get_R(0,0,ordered=False), st.get_T(0,0,ordered=False) \n",
" DATA.append((om, angle, RE, TE, RM, TM))\n",
" \n",
"DATA = pd.DataFrame(DATA, columns = ['om', 'angle', 'R_TE', 'T_TE', 'R_TM', 'T_TM']) "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(Text(0.5, 0, 'angle (deg)'),\n",
" Text(0, 0.5, 'k_0'),\n",
" )"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"OM, ANG = np.meshgrid(oml, angles, indexing = 'ij')\n",
"plt.contourf(angles, oml, DATA.pivot_table('R_TE','om', 'angle'), levels = 101)\n",
"plt.xlabel('angle (deg)'), plt.ylabel('k_0'), plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"(Text(0.5, 0, 'angle (deg)'),\n",
" Text(0, 0.5, 'k_0'),\n",
" )"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.contourf(angles, oml, DATA.pivot_table('R_TM', 'om', 'angle'), levels = 101)\n",
"plt.xlabel('angle (deg)'), plt.ylabel('k_0'), plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Band structure infinite Bragg Grating\n",
"A convenient way to make sense of reflection and transmission spectra of a Bragg grating is to look at the band structure. This also can be done with the Aperiodic Fourier Modal Method, since it is possible, given the scattering matrix of the unit cell, to get the Bloch modes by simply solving an eigenvalue problem.\n",
"\n",
"First step is to build the stack object representing the unit cell. In the following the unit cell of the same grating analyzed in the [previos section](#finitegrating). It is worth noting that, due to the way the first and last layer are handled by the code, their thickness will not be included in the unit cell. Thus, first and last layer are irrelevant to the code, but they need to be the same in order for the code to work properly.\n",
"\n",
"Thus, this is how the cell is built:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/marco/Documents/MyPrograms/A_FMM/test/lib/python3.10/site-packages/matplotlib/contour.py:1568: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" self.zmax = z.max().astype(float)\n",
"/home/marco/Documents/MyPrograms/A_FMM/test/lib/python3.10/site-packages/matplotlib/contour.py:1569: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" self.zmin = z.min().astype(float)\n",
"/home/marco/Documents/MyPrograms/A_FMM/test/lib/python3.10/site-packages/numpy/ma/core.py:2820: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" _data = np.array(data, dtype=dtype, copy=copy,\n"
]
},
{
"data": {
"text/plain": [
"(Text(0.5, 0, 'z'),\n",
" Text(0, 0.5, 'x'),\n",
" )"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mat = [lay1, lay1, lay2, lay1]\n",
"d = [0.0,0.5, 0.5,0.0]\n",
"st = A_FMM.Stack(mat, d)\n",
"eps = st.calculate_epsilon(x=[-0.5, 0.5], z = np.linspace(0.0, st.total_length, 1001))\n",
"plt.contourf(np.squeeze(eps['z']), np.squeeze(eps['x']), np.squeeze(eps['eps']), cmap='Greys')\n",
"plt.xlabel('z'), plt.ylabel('x'), plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"After that, getting the Bloch mode just requires to calculate the scattering matrix by calling `solve` and the solving for the Bloch vector by calling `bloch_modes`, which returns an array containing the found Bloch vectors. In general the Bloch vector is a complex quantity, where the real part represent the evolution of the phase and the imaginary part the evolution of the amplitude. The returned Bloch vectors are ordered by increasing imaginary part. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"DATA = []\n",
"for om in oml:\n",
" st.solve(om)\n",
" bm = st.bloch_modes()\n",
" DATA.append([om, bm[0]])\n",
" \n",
"DATA = pd.DataFrame(DATA, columns = ['om', 'bk'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The obtained Bloch vector can then be plotted against the frequency:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(Text(0.5, 0, 'k_b'),\n",
" Text(0, 0.5, 'k_0'),\n",
" )"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(np.abs(np.real(DATA['bk'])), DATA['om'], label='Real')\n",
"plt.plot(np.imag(DATA['bk']), DATA['om'], label='Imag')\n",
"plt.xlabel('k_b'), plt.ylabel('k_0'), plt.legend()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.10.4 64-bit",
"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": "3.10.12"
},
"vscode": {
"interpreter": {
"hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1"
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}