\n",
"\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sim.plot_3d()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solving modes of individual rings\n",
"We find the singularities for the two identical rings."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "50da0a866d674b3f9b2dd06b9ce8c44b",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"HBox(children=(Label(value='Refining modes'), FloatProgress(value=0.0, max=2.0)))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"start_s = 2j*np.pi*1e9\n",
"\n",
"num_modes = 3\n",
"\n",
"estimate = sim.estimate_poles(start_s, modes=num_modes, parts=[srr1, srr2], cauchy_integral=False)\n",
"refined = sim.refine_poles(estimate)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constructing the models\n",
"\n",
"We now use these singularities to construct a model for each of the rings, where $n$ represents the ring number and $m$ represents the mode number. $s=j\\omega$ is the complex frequency, $s_{n,m}$ is the complex resonant frequency of each mode and $\\mathbf{V}_{n, m}$ is the corresponding current of the mode. The current on each ring is represented as a sum of modes\n",
"\n",
"$$\\mathbf{J}_{n} = \\sum_m a_{n,m}\\mathbf{V}_{n, m}$$\n",
"\n",
"This results in the following coupled equation system for the modal coefficients on each ring\n",
"\n",
"$$\\frac{s_{n,m}}{s}\\left(s-s_{n,m}\\right)a_{n,m} + \\sum_{n'\\neq n}\\sum_{m'}\\left(sL_{m,n,m',n'} + \\frac{1}{s}S_{m,n,m',n'}\\right)a_{n',m'} = \\mathbf{V}_{n, m}\\cdot\\mathbf{E}_{inc}$$\n",
"\n",
"* The first term just says that the self-impedance of each mode is calculated directly from the pole expansion.\n",
"* The second term is the mutual inductance $L$ and capacitance $C = S^{-1}$ between each modes of different rings. These coefficients are obtained by weighting the relevant parts of the impedance matrix, e.g.:\n",
"$$L_{m,n,m',n'} = \\mathbf{V}_{n, m} L_{n,n'}\\mathbf{V}_{n', m'}$$\n",
"* The right hand side is just the projection of the incident field onto each mode\n",
"\n",
"Here we construct two different models, one considering only the fundamental mode of each ring, and another considering the first and third modes. Due to symmetry, the second mode of each ring does not play a part in the hybridised modes which will be considered here."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"dominant_modes = refined.select([0]).add_conjugates()\n",
"simple_model = EfieModelMutualWeight(dominant_modes)\n",
"\n",
"full_modes = refined.select([0, 2]).add_conjugates()\n",
"full_model = EfieModelMutualWeight(full_modes)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solving scattering based on models\n",
"Now we iterate through all frequencies, and calculate the model parameters. Their accuracy is demonstrated by using them to calculate the extinction cross-section. For reference purposes, this will be compared with the direct calculation."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "1ec39218321b41f595f4eed3d9159c5a",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"HBox(children=(Label(value='Frequency Sweep'), FloatProgress(value=0.0, max=199.0)))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_freqs = 200\n",
"freqs = np.linspace(5e9, 10e9, num_freqs)\n",
"\n",
"plane_wave = PlaneWaveSource([0, 1, 0], [1, 0, 0], p_inc=1.0)\n",
"\n",
"extinction_tot = np.empty(num_freqs, np.complex128)\n",
"extinction_single = np.empty(num_freqs, np.complex128)\n",
"extinction_full_model = np.empty((num_freqs, len(full_modes)), np.complex128)\n",
"extinction_simple_model = np.empty((num_freqs, len(dominant_modes)), np.complex128)\n",
"\n",
"# store the mutual coupling coefficients for plotting purposes\n",
"mutual_L = np.empty(num_freqs, np.complex128)\n",
"mutual_S = np.empty(num_freqs, np.complex128)\n",
"\n",
"simple_vr = dominant_modes.vr\n",
"simple_vl = dominant_modes.vl\n",
"\n",
"full_vr = full_modes.vr\n",
"full_vl = full_modes.vl\n",
" \n",
" \n",
"for freq_count, s in sim.iter_freqs(freqs):\n",
" impedance = sim.impedance(s)\n",
" V = sim.source_vector(plane_wave, s)\n",
"\n",
" # For reference directly calculate extinction for the complete system, and for a single ring \n",
" extinction_tot[freq_count] = np.vdot(V, impedance.solve(V)) \n",
" extinction_single[freq_count] = np.vdot(V[\"E\", srr1], impedance[srr1, srr1].solve(V[\"E\", srr1]))\n",
"\n",
" # calculate based on the simple model\n",
" Z_model = simple_model.impedance(s)\n",
" V_model = simple_vl.dot(V)\n",
" I_model = Z_model.solve(V_model)\n",
" extinction_simple_model[freq_count] = V.conj().dot(simple_vr*(I_model)) \n",
" \n",
" # calculate based on the full model\n",
" Z_model = full_model.impedance(s)\n",
" V_model = full_vl.dot(V)\n",
" I_model = Z_model.solve(V_model)\n",
" extinction_full_model[freq_count] = V.conj().dot(full_vr*(I_model))\n",
" \n",
" mutual_L[freq_count] = Z_model.matrices['L'][srr1, srr2][0, 0]\n",
" mutual_S[freq_count] = Z_model.matrices['S'][srr1, srr2][0, 0]\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Accuracy of the models\n",
"\n",
"The extinction cross section is now plotted for the pair of rings, using both the simpler model and the direct calculation. Additionally, the cross section of a single ring is shown. It can be seen that this fundamental mode of a single ring is split into two coupled modes. Due to the coupling impedance being complex, the hybridised modes have different widths."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"# normalise the extinction to the cross-sectional area of each ring\n",
"area = np.pi*(parameters['outer_radius'])**2\n",
"\n",
"Q_single = extinction_single/area\n",
"Q_pair = extinction_tot/area\n",
"Q_full_model = extinction_full_model/area\n",
"Q_simple_model = extinction_simple_model/area"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"