1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
|
import unittest
import meep as mp
import numpy as np
class TestArrayMetadata(unittest.TestCase):
def test_array_metadata(self):
resolution = 25
n = 3.4
w = 1
r = 1
pad = 4
dpml = 2
sxy = 2*(r+w+pad+dpml)
cell_size = mp.Vector3(sxy,sxy)
nonpml_vol = mp.Volume(mp.Vector3(), size=mp.Vector3(sxy-2*dpml,sxy-2*dpml))
geometry = [mp.Cylinder(radius=r+w, material=mp.Medium(index=n)),
mp.Cylinder(radius=r)]
fcen = 0.118
df = 0.08
symmetries = [mp.Mirror(mp.X,phase=-1),
mp.Mirror(mp.Y,phase=+1)]
pml_layers = [mp.PML(dpml)]
# CW source
src = [mp.Source(mp.ContinuousSource(fcen,fwidth=df), mp.Ez, mp.Vector3(r+0.1)),
mp.Source(mp.ContinuousSource(fcen,fwidth=df), mp.Ez, mp.Vector3(-(r+0.1)), amplitude=-1)]
sim = mp.Simulation(cell_size=cell_size,
geometry=geometry,
sources=src,
resolution=resolution,
force_complex_fields=True,
symmetries=symmetries,
boundary_layers=pml_layers)
sim.init_sim()
sim.solve_cw(1e-6, 1000, 10)
def electric_energy(r, ez, eps):
return np.real(eps * np.conj(ez)*ez)
def vec_func(r):
return r.x**2 + 2*r.y**2
electric_energy_total = sim.integrate_field_function([mp.Ez,mp.Dielectric],electric_energy,nonpml_vol)
electric_energy_max = sim.max_abs_field_function([mp.Ez,mp.Dielectric],electric_energy,nonpml_vol)
vec_func_total = sim.integrate_field_function([],vec_func,nonpml_vol)
cw_modal_volume = (electric_energy_total / electric_energy_max) * vec_func_total
sim.reset_meep()
# pulsed source
src = [mp.Source(mp.GaussianSource(fcen,fwidth=df), mp.Ez, mp.Vector3(r+0.1)),
mp.Source(mp.GaussianSource(fcen,fwidth=df), mp.Ez, mp.Vector3(-(r+0.1)), amplitude=-1)]
sim = mp.Simulation(cell_size=cell_size,
geometry=geometry,
k_point=mp.Vector3(),
sources=src,
resolution=resolution,
symmetries=symmetries,
boundary_layers=pml_layers)
dft_obj = sim.add_dft_fields([mp.Ez], fcen, 0, 1, where=nonpml_vol)
sim.run(until_after_sources=100)
Ez = sim.get_dft_array(dft_obj, mp.Ez, 0)
(X,Y,Z,W) = sim.get_array_metadata(dft_cell=dft_obj)
Eps = sim.get_array(vol=nonpml_vol, component=mp.Dielectric)
EpsE2 = np.real(Eps*np.conj(Ez)*Ez)
xm, ym = np.meshgrid(X, Y)
vec_func_sum = np.sum(W*(xm**2 + 2*ym**2))
pulse_modal_volume = np.sum(W*EpsE2)/np.max(EpsE2) * vec_func_sum
self.assertAlmostEqual(cw_modal_volume/pulse_modal_volume, 1.00, places=2)
if __name__ == '__main__':
unittest.main()
|
