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# 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
from __future__ import division
import unittest
import meep as mp
import numpy as np
from meep import mpb
import h5py
import os
class TestDispersiveEigenmode(unittest.TestCase):
# ----------------------------------------- #
# ----------- 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)))
np.testing.assert_allclose(n,n_actual)
@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, 'dispersive_eigenmode-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 Si, Ag, LiNbO3, Au
# 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 Si, Ag, LiNbO3, Au
# 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()
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