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
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
|
# dispersive_eigenmode.py - Tests the meep eigenmode features (eigenmode source,
# eigenmode decomposition, and get_eigenmode) with dispersive materials.
# TODO:
# * check materials with off diagonal components
# * check magnetic profiles
# * once imaginary component is supported, check that
import os
import unittest
import h5py
import numpy as np
from utils import ApproxComparisonTestCase
import meep as mp
class TestDispersiveEigenmode(ApproxComparisonTestCase):
# ----------------------------------------- #
# ----------- Helper Functions ------------ #
# ----------------------------------------- #
# Directly cals the C++ chi1 routine
def call_chi1(self, material, frequency):
sim = mp.Simulation(
cell_size=mp.Vector3(1, 1, 1), default_material=material, resolution=20
)
sim.init_sim()
v3 = mp.py_v3_to_vec(sim.dimensions, mp.Vector3(0, 0, 0), sim.is_cylindrical)
chi1inv = np.zeros((3, 3), dtype=np.complex128)
for i, com in enumerate([mp.Ex, mp.Ey, mp.Ez]):
for k, dir in enumerate([mp.X, mp.Y, mp.Z]):
chi1inv[i, k] = sim.structure.get_chi1inv(com, dir, v3, frequency)
n = np.real(np.sqrt(np.linalg.inv(chi1inv.astype(np.complex128))))
n_actual = np.real(np.sqrt(material.epsilon(frequency).astype(np.complex128)))
tol = 1e-6 if mp.is_single_precision() else 1e-8
self.assertClose(n, n_actual, epsilon=tol)
@classmethod
def setUpClass(cls):
cls.temp_dir = mp.make_output_directory()
@classmethod
def tearDownClass(cls):
mp.delete_directory(cls.temp_dir)
def verify_output_and_slice(self, material, frequency):
# Since the slice routines average the diagonals, we need to do that too:
chi1 = material.epsilon(frequency).astype(np.complex128)
chi1inv = np.linalg.inv(chi1)
chi1inv = np.diag(chi1inv)
N = chi1inv.size
n = np.sqrt(N / np.sum(chi1inv))
sim = mp.Simulation(
cell_size=mp.Vector3(2, 2, 2),
default_material=material,
resolution=20,
eps_averaging=False,
)
sim.use_output_directory(self.temp_dir)
sim.init_sim()
# Check to make sure the get_slice routine is working with frequency
n_slice = np.sqrt(np.max(sim.get_epsilon(frequency=frequency, snap=True)))
self.assertAlmostEqual(n, n_slice, places=4)
# Check to make sure h5 output is working with frequency
filename = os.path.join(
self.temp_dir, f"{sim.get_filename_prefix()}-eps-000000.00.h5"
)
mp.output_epsilon(sim, frequency=frequency)
n_h5 = 0
mp.all_wait()
with h5py.File(filename, "r") as f:
n_h5 = np.sqrt(np.max(mp.complexarray(f["eps.r"][()], f["eps.i"][()])))
self.assertAlmostEqual(n, n_h5, places=4)
# ----------------------------------------- #
# ----------- Test Routines --------------- #
# ----------------------------------------- #
def test_chi1_routine(self):
# Checks the newly implemented get_chi1inv routines within the
# fields and structure classes by comparing their output to the
# python epsilon output.
from meep.materials import Ag, Au, LiNbO3, Si
# Check Silicon
w0 = Si.valid_freq_range.min
w1 = Si.valid_freq_range.max
self.call_chi1(Si, w0)
self.call_chi1(Si, w1)
# Check Silver
w0 = Ag.valid_freq_range.min
w1 = Ag.valid_freq_range.max
self.call_chi1(Ag, w0)
self.call_chi1(Ag, w1)
# Check Gold
w0 = Au.valid_freq_range.min
w1 = Au.valid_freq_range.max
self.call_chi1(Au, w0)
self.call_chi1(Au, w1)
# Check Lithium Niobate (X,X)
w0 = LiNbO3.valid_freq_range.min
w1 = LiNbO3.valid_freq_range.max
self.call_chi1(LiNbO3, w0)
self.call_chi1(LiNbO3, w1)
# Now let's rotate LN
import copy
rotLiNbO3 = copy.deepcopy(LiNbO3)
rotLiNbO3.rotate(mp.Vector3(1, 1, 1), np.radians(34))
self.call_chi1(rotLiNbO3, w0)
self.call_chi1(rotLiNbO3, w1)
def test_get_with_dispersion(self):
# Checks the get_array_slice and output_fields method
# with dispersive materials.
from meep.materials import Ag, Au, LiNbO3, Si
# Check Silicon
w0 = Si.valid_freq_range.min
w1 = Si.valid_freq_range.max
self.verify_output_and_slice(Si, w0)
self.verify_output_and_slice(Si, w1)
# Check Silver
w0 = Ag.valid_freq_range.min
w1 = Ag.valid_freq_range.max
self.verify_output_and_slice(Ag, w0)
self.verify_output_and_slice(Ag, w1)
# Check Gold
w0 = Au.valid_freq_range.min
w1 = Au.valid_freq_range.max
self.verify_output_and_slice(Au, w0)
self.verify_output_and_slice(Au, w1)
# Check Lithium Niobate
w0 = LiNbO3.valid_freq_range.min
w1 = LiNbO3.valid_freq_range.max
self.verify_output_and_slice(LiNbO3, w0)
self.verify_output_and_slice(LiNbO3, w1)
# Now let's rotate LN
import copy
rotLiNbO3 = copy.deepcopy(LiNbO3)
rotLiNbO3.rotate(mp.Vector3(1, 1, 1), np.radians(34))
self.verify_output_and_slice(rotLiNbO3, w0)
self.verify_output_and_slice(rotLiNbO3, w1)
if __name__ == "__main__":
unittest.main()
|
