# Angular Reflectance Spectrum of a Planar Interface¶

We turn to a similar but slightly different example for which there exists an analytic solution via the Fresnel equations: computing the broadband reflectance spectrum of a planar air-dielectric interface for an incident planewave over a range of angles. Similar to the previous example, we will need to run two simulations: (1) an empty cell with air/vacuum ($n$=1) everywhere to obtain the incident flux, and (2) with the dielectric ($n$=3.5) interface to obtain the reflected flux. For each angle of the incident planewave, a separate simulation is necessary.

A 1d cell must be used since a higher-dimensional cell will introduce artificial modes due to band folding. We will use a Gaussian source spanning visible wavelengths of 0.4 to 0.8 μm. Unlike a continuous-wave (CW) source, a pulsed source turns off. This enables a termination condition of when there are no fields remaining in the cell (due to absorption by the PMLs) via the run function stop_when_fields_decayed, similar to the previous example.

Creating an oblique planewave source typically requires specifying two parameters: (1) for periodic structures, the Bloch-periodic wavevector $\vec{k}$ via k_point, and (2) the source amplitude function amp_func for setting the $e^{i\vec{k} \cdot \vec{r}}$ spatial dependence ($\vec{r}$ is the position vector). Since we have a 1d cell and the source is at a single point, it is not necessary to specify the source amplitude (see this 2d example for how this is done). The magnitude of the Bloch-periodic wavevector is specified according to the dispersion relation formula for a planewave in homogeneous media with index $n$: $ω=c|\vec{k}|/n$. As the source in this example is incident from air, $|\vec{k}|$ is simply equal to the frequency $ω$ (the minimum frequency of the pulse which excludes the 2π factor). Note that a fixed wavevector only applies to a single frequency. Any broadband source is therefore incident at a specified angle for only a single frequency. This is described in more detail in Section 4.5 ("Efficient Frequency-Angle Coverage") in Chapter 4 ("Electromagnetic Wave Source Conditions") of the book Advances in FDTD Computational Electrodynamics: Photonics and Nanotechnology.

In this example, the plane of incidence which contains $\vec{k}$ and the surface normal vector is $xz$. The source angle θ is defined in degrees in the counterclockwise (CCW) direction around the $y$ axis with 0 degrees along the +$z$ axis. In Meep, a 1d cell is defined along the $z$ direction. When $\vec{k}$ is not set, only the $E_x$ and $H_y$ field components are permitted. A non-zero $\vec{k}$ results in a 3d simulation where all field components are allowed and are complex (the fields are real, by default). A current source with $E_x$ polarization lies in the plane of incidence and corresponds to the convention of $\mathcal{P}$-polarization. In order to model the $\mathcal{S}$-polarization, we must use an $E_y$ source. This example involves just the $\mathcal{P}$-polarization.

In [1]:
import meep as mp
import math
import numpy as np
import numpy.matlib
import matplotlib.pyplot as plt

resolution = 50                 # pixels/um

dpml = 1.0                      # PML thickness
sz = 10 + 2*dpml
cell_size = mp.Vector3(z=sz)
pml_layers = [mp.PML(dpml)]

wvl_min = 0.4                   # min wavelength
wvl_max = 0.8                   # max wavelength
fmin = 1/wvl_max                # min frequency
fmax = 1/wvl_min                # max frequency
fcen = 0.5*(fmin+fmax)          # center frequency
df = fmax-fmin                  # frequency width
nfreq = 50                      # number of frequency bins

def planar_reflectance(theta):
# rotation angle (in degrees) of source: CCW around Y axis, 0 degrees along +Z axis

# plane of incidence is XZ; rotate counter clockwise (CCW) about y-axis
k = mp.Vector3(z=fmin).rotate(mp.Vector3(y=1), theta_r)

# if normal incidence, force number of dimensions to be 1
if theta_r == 0:
dimensions = 1
else:
dimensions = 3

sources = [mp.Source(mp.GaussianSource(fcen,fwidth=df), component=mp.Ex, center=mp.Vector3(z=-0.5*sz+dpml))]

sim = mp.Simulation(cell_size=cell_size,
boundary_layers=pml_layers,
sources=sources,
k_point=k,
dimensions=dimensions,
resolution=resolution)

refl_fr = mp.FluxRegion(center=mp.Vector3(z=-0.25*sz))
refl = sim.add_flux(fcen, df, nfreq, refl_fr)

sim.run(until_after_sources=mp.stop_when_fields_decayed(50, mp.Ex, mp.Vector3(z=-0.5*sz+dpml), 1e-9))

empty_flux = mp.get_fluxes(refl)
empty_data = sim.get_flux_data(refl)

sim.reset_meep()

# add a block with n=3.5 for the air-dielectric interface
geometry = [mp.Block(mp.Vector3(mp.inf,mp.inf,0.5*sz), center=mp.Vector3(z=0.25*sz), material=mp.Medium(index=3.5))]

sim = mp.Simulation(cell_size=cell_size,
geometry=geometry,
boundary_layers=pml_layers,
sources=sources,
k_point=k,
dimensions=dimensions,
resolution=resolution)

refl = sim.add_flux(fcen, df, nfreq, refl_fr)

sim.run(until_after_sources=mp.stop_when_fields_decayed(50, mp.Ex, mp.Vector3(z=-0.5*sz+dpml), 1e-9))

refl_flux = mp.get_fluxes(refl)
freqs = mp.get_flux_freqs(refl)

wvls = np.empty(nfreq)
theta_out = np.empty(nfreq)
R = np.empty(nfreq)
for i in range(nfreq):
wvls[i] = 1/freqs[i]
theta_out[i] = math.degrees(math.asin(k.x/freqs[i]))
R[i] = -refl_flux[i]/empty_flux[i]
print("refl:, {}, {}, {}, {}".format(k.x,wvls[i],theta_out[i],R[i]))

return k.x*np.ones(nfreq), wvls, theta_out, R


The function planar_reflectance computes the reflectance at each frequency as well as the wavevector component $k_x$ and the corresponding angle for the ($k_x$, ω) pair. For those frequencies not equal to the minimum frequency of the source, this is not the same as the specified angle of the incident planewave, but rather sin-1(kx/ω).

The reflectance spectrum is generated over the angular range of 0$^\circ$ to 80$^\circ$ in increments of 5$^\circ$.

In [2]:
theta_in = np.arange(0,85,5)
wvl = np.empty(nfreq)
kxs = np.empty((nfreq,theta_in.size))
thetas = np.empty((nfreq,theta_in.size))
Rmeep = np.empty((nfreq,theta_in.size))

for j in range(theta_in.size):
kxs[:,j], wvl, thetas[:,j], Rmeep[:,j] = planar_reflectance(theta_in[j])

# create a 2d matrix for the wavelength by repeating the column vector for each angle
wvls = np.transpose(np.matlib.repmat(wvl,theta_in.size,1))

-----------
Initializing structure...
time for choose_chunkdivision = 0.000254154 s
Working in 1D dimensions.
Computational cell is 0 x 0 x 12 with resolution 50
time for set_epsilon = 0.000342131 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.25332329653323415 / 0.25332329653323415 = 1.0
field decay(t = 100.01): 6.806395978139867e-16 / 0.25332329653323415 = 2.6868417043700194e-15
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108004 s
Working in 1D dimensions.
Computational cell is 0 x 0 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.000371933 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.25332329652480207 / 0.25332329652480207 = 1.0
field decay(t = 100.01): 1.9736380723733672e-11 / 0.25332329652480207 = 7.790985272371642e-11
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.0, 0.8, 0.0, 0.29476330384323207
refl:, 0.0, 0.784, 0.0, 0.29416578611798405
refl:, 0.0, 0.7686274509803922, 0.0, 0.2935560666132851
refl:, 0.0, 0.7538461538461539, 0.0, 0.29293290546540196
refl:, 0.0, 0.739622641509434, 0.0, 0.2922951429790378
refl:, 0.0, 0.7259259259259259, 0.0, 0.29164324229177097
refl:, 0.0, 0.7127272727272727, 0.0, 0.29097731021514417
refl:, 0.0, 0.7, 0.0, 0.29029575759541565
refl:, 0.0, 0.6877192982456141, 0.0, 0.2895975033066778
refl:, 0.0, 0.6758620689655173, 0.0, 0.2888834125810835
refl:, 0.0, 0.664406779661017, 0.0, 0.2881539488987047
refl:, 0.0, 0.6533333333333333, 0.0, 0.2874077841401458
refl:, 0.0, 0.6426229508196721, 0.0, 0.2866443691325259
refl:, 0.0, 0.632258064516129, 0.0, 0.2858651486082286
refl:, 0.0, 0.6222222222222222, 0.0, 0.28507064287177303
refl:, 0.0, 0.6124999999999999, 0.0, 0.2842593661161744
refl:, 0.0, 0.6030769230769231, 0.0, 0.28343094611850356
refl:, 0.0, 0.593939393939394, 0.0, 0.28258688014584116
refl:, 0.0, 0.5850746268656717, 0.0, 0.2817272035905085
refl:, 0.0, 0.5764705882352942, 0.0, 0.2808500622387931
refl:, 0.0, 0.5681159420289855, 0.0, 0.27995515394321197
refl:, 0.0, 0.56, 0.0, 0.27904384994339343
refl:, 0.0, 0.552112676056338, 0.0, 0.27811574176551984
refl:, 0.0, 0.5444444444444444, 0.0, 0.2771688207349352
refl:, 0.0, 0.536986301369863, 0.0, 0.2762029589907331
refl:, 0.0, 0.5297297297297298, 0.0, 0.2752195125027274
refl:, 0.0, 0.5226666666666667, 0.0, 0.2742178237240486
refl:, 0.0, 0.5157894736842105, 0.0, 0.27319583895650085
refl:, 0.0, 0.509090909090909, 0.0, 0.27215367552975717
refl:, 0.0, 0.5025641025641026, 0.0, 0.27109276268116617
refl:, 0.0, 0.4962025316455696, 0.0, 0.2700121717612113
refl:, 0.0, 0.49, 0.0, 0.26890977948431494
refl:, 0.0, 0.4839506172839506, 0.0, 0.26778602305927346
refl:, 0.0, 0.47804878048780486, 0.0, 0.26664234270279846
refl:, 0.0, 0.47228915662650606, 0.0, 0.2654773959072893
refl:, 0.0, 0.4666666666666667, 0.0, 0.2642890605183494
refl:, 0.0, 0.4611764705882353, 0.0, 0.26307815170848525
refl:, 0.0, 0.4558139534883721, 0.0, 0.2618459695575972
refl:, 0.0, 0.4505747126436782, 0.0, 0.2605907641320623
refl:, 0.0, 0.4454545454545454, 0.0, 0.25931062280334477
refl:, 0.0, 0.44044943820224725, 0.0, 0.25800677969709146
refl:, 0.0, 0.43555555555555553, 0.0, 0.2566804027177118
refl:, 0.0, 0.4307692307692308, 0.0, 0.25532959438320507
refl:, 0.0, 0.4260869565217391, 0.0, 0.2539529088676918
refl:, 0.0, 0.421505376344086, 0.0, 0.2525520862693137
refl:, 0.0, 0.41702127659574467, 0.0, 0.2511282531123407
refl:, 0.0, 0.4126315789473684, 0.0, 0.24967934554669954
refl:, 0.0, 0.4083333333333333, 0.0, 0.24820404444956207
refl:, 0.0, 0.4041237113402062, 0.0, 0.24670386250022297
refl:, 0.0, 0.4, 0.0, 0.24517862401765392
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00770998 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.25242167342001043 / 0.25242167342001043 = 1.0
field decay(t = 100.01): 1.8867425254108467e-14 / 0.25242167342001043 = 7.474566267815881e-14
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000110865 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.026345 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.2524216734361254 / 0.2524216734361254 = 1.0
field decay(t = 100.01): 2.0310851043564926e-11 / 0.2524216734361254 = 8.046397429777174e-11
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.1089446784345727, 0.8, 5.0, 0.2934227118859898
refl:, 0.1089446784345727, 0.784, 4.899752997934953, 0.29287850682357097
refl:, 0.1089446784345727, 0.7686274509803922, 4.803451415694315, 0.2923194417293526
refl:, 0.1089446784345727, 0.7538461538461539, 4.710866569098618, 0.29174404751628646
refl:, 0.1089446784345727, 0.739622641509434, 4.621787131270349, 0.2911512998642181
refl:, 0.1089446784345727, 0.7259259259259259, 4.536017514803643, 0.2905417123133207
refl:, 0.1089446784345727, 0.7127272727272727, 4.45337643175598, 0.2899156301931104
refl:, 0.1089446784345727, 0.7, 4.373695609047488, 0.2892720597047358
refl:, 0.1089446784345727, 0.6877192982456141, 4.296818640028281, 0.288609702000128
refl:, 0.1089446784345727, 0.6758620689655173, 4.222599955651541, 0.28792940285545326
refl:, 0.1089446784345727, 0.664406779661017, 4.150903900954991, 0.28723211458816683
refl:, 0.1089446784345727, 0.6533333333333333, 4.081603904475513, 0.28651676808837245
refl:, 0.1089446784345727, 0.6426229508196721, 4.014581729857545, 0.2857826486835516
refl:, 0.1089446784345727, 0.632258064516129, 3.9497268003123533, 0.28503114405854746
refl:, 0.1089446784345727, 0.6222222222222222, 3.886935587780479, 0.2842631868294254
refl:, 0.1089446784345727, 0.6124999999999999, 3.826111059675504, 0.28347749048119336
refl:, 0.1089446784345727, 0.6030769230769231, 3.7671621769699377, 0.28267341154462916
refl:, 0.1089446784345727, 0.593939393939394, 3.7100034381453693, 0.28185242101019087
refl:, 0.1089446784345727, 0.5850746268656717, 3.6545544641874574, 0.2810149315091566
refl:, 0.1089446784345727, 0.5764705882352942, 3.6007396203768605, 0.2801592191834353
refl:, 0.1089446784345727, 0.5681159420289855, 3.5484876711229183, 0.2792846926505535
refl:, 0.1089446784345727, 0.56, 3.4977314645183832, 0.2783927047249737
refl:, 0.1089446784345727, 0.552112676056338, 3.4484076436699387, 0.2774832537476156
refl:, 0.1089446784345727, 0.5444444444444444, 3.4004563821883713, 0.27655440028581263
refl:, 0.1089446784345727, 0.536986301369863, 3.353821141510494, 0.2756056895508914
refl:, 0.1089446784345727, 0.5297297297297298, 3.3084484479779683, 0.2746385302061814
refl:, 0.1089446784345727, 0.5226666666666667, 3.2642876878206, 0.2736526713566295
refl:, 0.1089446784345727, 0.5157894736842105, 3.221290918387684, 0.2726460490596169
refl:, 0.1089446784345727, 0.509090909090909, 3.1794126941439105, 0.27161844709937716
refl:, 0.1089446784345727, 0.5025641025641026, 3.1386099060992034, 0.27057141563726533
refl:, 0.1089446784345727, 0.4962025316455696, 3.098841633477275, 0.2695044090077289
refl:, 0.1089446784345727, 0.49, 3.060069006547709, 0.2684152052151545
refl:, 0.1089446784345727, 0.4839506172839506, 3.0222550796530636, 0.26730394106050426
refl:, 0.1089446784345727, 0.47804878048780486, 2.985364713557375, 0.2661722224160734
refl:, 0.1089446784345727, 0.47228915662650606, 2.9493644663270095, 0.2650190380989821
refl:, 0.1089446784345727, 0.4666666666666667, 2.914222492030252, 0.26384212802287793
refl:, 0.1089446784345727, 0.4611764705882353, 2.879908446609464, 0.26264201676437865
refl:, 0.1089446784345727, 0.4558139534883721, 2.84639340033999, 0.2614202058647917
refl:, 0.1089446784345727, 0.4505747126436782, 2.8136497563440477, 0.26017524659219626
refl:, 0.1089446784345727, 0.4454545454545454, 2.7816511746763815, 0.258905029027019
refl:, 0.1089446784345727, 0.44044943820224725, 2.750372501542037, 0.2576105253535685
refl:, 0.1089446784345727, 0.43555555555555553, 2.719789703245832, 0.256293125487968
refl:, 0.1089446784345727, 0.4307692307692308, 2.689879804508449, 0.2549512279458179
refl:, 0.1089446784345727, 0.4260869565217391, 2.660620830815881, 0.2535831260087174
refl:, 0.1089446784345727, 0.421505376344086, 2.631991754497782, 0.25219031084070415
refl:, 0.1089446784345727, 0.41702127659574467, 2.603972444256211, 0.25077428012312447
refl:, 0.1089446784345727, 0.4126315789473684, 2.576543617889841, 0.24933314662117714
refl:, 0.1089446784345727, 0.4083333333333333, 2.549686797979975, 0.2478653741944476
refl:, 0.1089446784345727, 0.4041237113402062, 2.5233842703240543, 0.24637235281997996
refl:, 0.1089446784345727, 0.4, 2.4976190449198983, 0.2448541987123429
-----------
Initializing structure...
time for choose_chunkdivision = 0.00011611 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00750589 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.24974540035413878 / 0.24974540035413878 = 1.0
field decay(t = 100.01): 6.006906595531682e-14 / 0.24974540035413878 = 2.40521210281106e-13
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0191441 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.24974540044608928 / 0.24974540044608928 = 1.0
field decay(t = 100.01): 2.1519308385946042e-11 / 0.24974540044608928 = 8.61649838095467e-11
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.2170602220836629, 0.8, 10.0, 0.2893781746253207
refl:, 0.2170602220836629, 0.784, 9.798006528153513, 0.288998732433702
refl:, 0.2170602220836629, 0.7686274509803922, 9.604050171837292, 0.2885938951899122
refl:, 0.2170602220836629, 0.7538461538461539, 9.417658416993296, 0.28816419107846264
refl:, 0.2170602220836629, 0.739622641509434, 9.238395240840497, 0.28770900366948954
refl:, 0.2170602220836629, 0.7259259259259259, 9.06585764090149, 0.28722834374816003
refl:, 0.2170602220836629, 0.7127272727272727, 8.899672554443574, 0.2867235913729682
refl:, 0.2170602220836629, 0.7, 8.739494117841588, 0.28619525258422535
refl:, 0.2170602220836629, 0.6877192982456141, 8.585001222725978, 0.28564218452120266
refl:, 0.2170602220836629, 0.6758620689655173, 8.435895331947279, 0.2850647891546287
refl:, 0.2170602220836629, 0.664406779661017, 8.291898523577625, 0.2844650049217599
refl:, 0.2170602220836629, 0.6533333333333333, 8.152751735551202, 0.2838430637467787
refl:, 0.2170602220836629, 0.6426229508196721, 8.018213187256704, 0.28319797552226944
refl:, 0.2170602220836629, 0.632258064516129, 7.88805695754783, 0.2825306580041294
refl:, 0.2170602220836629, 0.6222222222222222, 7.762071701325296, 0.2818429693994039
refl:, 0.2170602220836629, 0.6124999999999999, 7.640059489140416, 0.2811345740291295
refl:, 0.2170602220836629, 0.6030769230769231, 7.521834756238996, 0.28040433725297315
refl:, 0.2170602220836629, 0.593939393939394, 7.407223349155971, 0.27965322172446067
refl:, 0.2170602220836629, 0.5850746268656717, 7.296061659428915, 0.2788825653708164
refl:, 0.2170602220836629, 0.5764705882352942, 7.188195835257705, 0.27809144849085615
refl:, 0.2170602220836629, 0.5681159420289855, 7.083481063027822, 0.2772785981174172
refl:, 0.2170602220836629, 0.56, 6.981780911561047, 0.2764449243213644
refl:, 0.2170602220836629, 0.552112676056338, 6.882966732780441, 0.2755914805667849
refl:, 0.2170602220836629, 0.5444444444444444, 6.786917113194022, 0.27471697321444166
refl:, 0.2170602220836629, 0.536986301369863, 6.693517371228444, 0.27382008373306266
refl:, 0.2170602220836629, 0.5297297297297298, 6.602659095992853, 0.2729019522035499
refl:, 0.2170602220836629, 0.5226666666666667, 6.514239723534344, 0.27196350015165877
refl:, 0.2170602220836629, 0.5157894736842105, 6.428162147069652, 0.27100303851505764
refl:, 0.2170602220836629, 0.509090909090909, 6.3443343580501015, 0.27001939086671356
refl:, 0.2170602220836629, 0.5025641025641026, 6.262669115245526, 0.26901406912439724
refl:, 0.2170602220836629, 0.4962025316455696, 6.1830836393232005, 0.2679876733928022
refl:, 0.2170602220836629, 0.49, 6.105499330654852, 0.2669381026643071
refl:, 0.2170602220836629, 0.4839506172839506, 6.029841508312739, 0.265864537999668
refl:, 0.2170602220836629, 0.47804878048780486, 5.956039168418179, 0.26476870360049726
refl:, 0.2170602220836629, 0.47228915662650606, 5.884024760185935, 0.26365066570667506
refl:, 0.2170602220836629, 0.4666666666666667, 5.813733978168244, 0.26250810411848724
refl:, 0.2170602220836629, 0.4611764705882353, 5.745105569345401, 0.26134058873292715
refl:, 0.2170602220836629, 0.4558139534883721, 5.678081153837623, 0.26014984735445634
refl:, 0.2170602220836629, 0.4505747126436782, 5.612605058127373, 0.25893548643505515
refl:, 0.2170602220836629, 0.4454545454545454, 5.5486241597837695, 0.2576951510120501
refl:, 0.2170602220836629, 0.44044943820224725, 5.486087742772728, 0.2564288095400968
refl:, 0.2170602220836629, 0.43555555555555553, 5.424947362519055, 0.2551382775804875
refl:, 0.2170602220836629, 0.4307692307692308, 5.365156719961124, 0.25382296989852066
refl:, 0.2170602220836629, 0.4260869565217391, 5.306671543905553, 0.25248068938520546
refl:, 0.2170602220836629, 0.421505376344086, 5.249449481049872, 0.2511120329000034
refl:, 0.2170602220836629, 0.41702127659574467, 5.19344999309547, 0.2497191778959394
refl:, 0.2170602220836629, 0.4126315789473684, 5.138634260422533, 0.2483012320567707
refl:, 0.2170602220836629, 0.4083333333333333, 5.08496509184317, 0.2468560224651321
refl:, 0.2170602220836629, 0.4041237113402062, 5.032406839989342, 0.24538435149961998
refl:, 0.2170602220836629, 0.4, 4.980925321928872, 0.2438873823711191
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00942492 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.24537918139687384 / 0.24537918139687384 = 1.0
field decay(t = 100.01): 1.2755953357084837e-13 / 0.24537918139687384 = 5.198466016745522e-13
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000109911 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.015625 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.24537918161848085 / 0.24537918161848085 = 1.0
field decay(t = 100.01): 2.2796495621609012e-11 / 0.24537918161848085 = 9.290313657111033e-11
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.3235238063781509, 0.8, 14.999999999999998, 0.28256373042287475
refl:, 0.3235238063781509, 0.784, 14.693171512000124, 0.28247093802487827
refl:, 0.3235238063781509, 0.7686274509803922, 14.398780921441814, 0.28233355058613946
refl:, 0.3235238063781509, 0.7538461538461539, 14.116078899389818, 0.2821545309608155
refl:, 0.3235238063781509, 0.739622641509434, 13.844375746673084, 0.2819358770069733
refl:, 0.3235238063781509, 0.7259259259259259, 13.583035518835887, 0.2816776835689441
refl:, 0.3235238063781509, 0.7127272727272727, 13.331470838933798, 0.28138133257604653
refl:, 0.3235238063781509, 0.7, 13.089138305160036, 0.281049646363028
refl:, 0.3235238063781509, 0.6877192982456141, 12.855534414514684, 0.28068351331308133
refl:, 0.3235238063781509, 0.6758620689655173, 12.630191935533823, 0.28028281405469785
refl:, 0.3235238063781509, 0.664406779661017, 12.412676672931594, 0.2798495314094937
refl:, 0.3235238063781509, 0.6533333333333333, 12.202584575236058, 0.27938611173524625
refl:, 0.3235238063781509, 0.6426229508196721, 11.999539143408532, 0.2788927304404999
refl:, 0.3235238063781509, 0.632258064516129, 11.803189104258525, 0.27836932361278227
refl:, 0.3235238063781509, 0.6222222222222222, 11.613206317390016, 0.27781781071798484
refl:, 0.3235238063781509, 0.6124999999999999, 11.429283888592414, 0.27723982281143944
refl:, 0.3235238063781509, 0.6030769230769231, 11.25113446614539, 0.27663483656101373
refl:, 0.3235238063781509, 0.593939393939394, 11.078488699542484, 0.2760025164435567
refl:, 0.3235238063781509, 0.5850746268656717, 10.91109384273803, 0.27534443882671783
refl:, 0.3235238063781509, 0.5764705882352942, 10.748712486253877, 0.2746616477877146
refl:, 0.3235238063781509, 0.5681159420289855, 10.591121404404543, 0.2739530013321228
refl:, 0.3235238063781509, 0.56, 10.438110505558328, 0.27321798287921667
refl:, 0.3235238063781509, 0.552112676056338, 10.289481874787974, 0.2724582796019277
refl:, 0.3235238063781509, 0.5444444444444444, 10.145048899510067, 0.27167450266463894
refl:, 0.3235238063781509, 0.536986301369863, 10.004635469795673, 0.2708649570485523
refl:, 0.3235238063781509, 0.5297297297297298, 9.868075245978739, 0.27002944005333146
refl:, 0.3235238063781509, 0.5226666666666667, 9.735210987013529, 0.2691698987799361
refl:, 0.3235238063781509, 0.5157894736842105, 9.60589393375409, 0.26828628327229254
refl:, 0.3235238063781509, 0.509090909090909, 9.479983241961918, 0.2673766390145325
refl:, 0.3235238063781509, 0.5025641025641026, 9.3573454604044, 0.266441343276572
refl:, 0.3235238063781509, 0.4962025316455696, 9.237854049896542, 0.2654822435375998
refl:, 0.3235238063781509, 0.49, 9.121388939570695, 0.26449858196569564
refl:, 0.3235238063781509, 0.4839506172839506, 9.00783611704105, 0.2634884799544352
refl:, 0.3235238063781509, 0.47804878048780486, 8.897087249467761, 0.26245270185974406
refl:, 0.3235238063781509, 0.47228915662650606, 8.789039332825531, 0.26139274110511584
refl:, 0.3235238063781509, 0.4666666666666667, 8.683594366947904, 0.26030735036150837
refl:, 0.3235238063781509, 0.4611764705882353, 8.5806590541555, 0.2591947457863499
refl:, 0.3235238063781509, 0.4558139534883721, 8.480144519487721, 0.25805589551088276
refl:, 0.3235238063781509, 0.4505747126436782, 8.381966050745921, 0.256892047194308
refl:, 0.3235238063781509, 0.4454545454545454, 8.286042856724524, 0.2557015480946698
refl:, 0.3235238063781509, 0.44044943820224725, 8.192297842157469, 0.2544827165503608
refl:, 0.3235238063781509, 0.43555555555555553, 8.100657398042404, 0.25323697315876975
refl:, 0.3235238063781509, 0.4307692307692308, 8.011051206126568, 0.25196549708688976
refl:, 0.3235238063781509, 0.4260869565217391, 7.923412056447124, 0.2506663282693837
refl:, 0.3235238063781509, 0.421505376344086, 7.837675676917115, 0.2493383700330171
refl:, 0.3235238063781509, 0.41702127659574467, 7.753780574036344, 0.24798388324916928
refl:, 0.3235238063781509, 0.4126315789473684, 7.671667883886533, 0.24660386238549814
refl:, 0.3235238063781509, 0.4083333333333333, 7.591281232641979, 0.2451961050843521
refl:, 0.3235238063781509, 0.4041237113402062, 7.512566605892175, 0.2437600099079589
refl:, 0.3235238063781509, 0.4, 7.435472226131853, 0.24229747168145319
-----------
Initializing structure...
time for choose_chunkdivision = 0.000112772 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.007622 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.23946072431081186 / 0.23946072431081186 = 1.0
field decay(t = 100.01): 2.143367304660103e-13 / 0.23946072431081186 = 8.950809410724429e-13
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000111818 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0173719 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.23946072470582727 / 0.23946072470582727 = 1.0
field decay(t = 100.01): 2.2924410648414684e-11 / 0.23946072470582727 = 9.573348897434795e-11
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.4275251791570859, 0.8, 20.0, 0.27287026974445927
refl:, 0.4275251791570859, 0.784, 19.583468236198428, 0.2732024101218738
refl:, 0.4275251791570859, 0.7686274509803922, 19.184283570762837, 0.2734622444200681
refl:, 0.4275251791570859, 0.7538461538461539, 18.80136282780684, 0.27365329059595683
refl:, 0.4275251791570859, 0.739622641509434, 18.433712921276232, 0.27378076185161915
refl:, 0.4275251791570859, 0.7259259259259259, 18.080421505473552, 0.27384851240423785
refl:, 0.4275251791570859, 0.7127272727272727, 17.74064878668832, 0.2738584846379507
refl:, 0.4275251791570859, 0.7, 17.413620328364388, 0.27381376974644933
refl:, 0.4275251791570859, 0.6877192982456141, 17.098620709730763, 0.27371850538265774
refl:, 0.4275251791570859, 0.6758620689655173, 16.794987920274295, 0.2735750966910372
refl:, 0.4275251791570859, 0.664406779661017, 16.50210839086207, 0.2733847949229058
refl:, 0.4275251791570859, 0.6533333333333333, 16.21941257752279, 0.2731503266875855
refl:, 0.4275251791570859, 0.6426229508196721, 15.946371026493122, 0.2728749017452174
refl:, 0.4275251791570859, 0.632258064516129, 15.682490859619808, 0.2725596258354739
refl:, 0.4275251791570859, 0.6222222222222222, 15.427312627971409, 0.2722049153191827
refl:, 0.4275251791570859, 0.6124999999999999, 15.18040748886694, 0.2718130795196188
refl:, 0.4275251791570859, 0.6030769230769231, 14.941374667722823, 0.2713863599041548
refl:, 0.4275251791570859, 0.593939393939394, 14.709839171355561, 0.2709245158308668
refl:, 0.4275251791570859, 0.5850746268656717, 14.485449723819883, 0.2704275378957415
refl:, 0.4275251791570859, 0.5764705882352942, 14.267876899642369, 0.26989771202120866
refl:, 0.4275251791570859, 0.5681159420289855, 14.056811432538773, 0.26933628796739983
refl:, 0.4275251791570859, 0.56, 13.851962680467771, 0.26874214027712073
refl:, 0.4275251791570859, 0.552112676056338, 13.653057230248155, 0.2681155761222093
refl:, 0.4275251791570859, 0.5444444444444444, 13.459837627011849, 0.2674588673074579
refl:, 0.4275251791570859, 0.536986301369863, 13.272061215531336, 0.2667723151469476
refl:, 0.4275251791570859, 0.5297297297297298, 13.089499081989581, 0.26605454446111854
refl:, 0.4275251791570859, 0.5226666666666667, 12.911935086088024, 0.2653063511402134
refl:, 0.4275251791570859, 0.5157894736842105, 12.73916497454351, 0.2645297343354968
refl:, 0.4275251791570859, 0.509090909090909, 12.570995568032437, 0.2637242645202348
refl:, 0.4275251791570859, 0.5025641025641026, 12.407244014521105, 0.2628885752055156
refl:, 0.4275251791570859, 0.4962025316455696, 12.247737102692609, 0.26202377900308255
refl:, 0.4275251791570859, 0.49, 12.092310629857906, 0.2611315306153532
refl:, 0.4275251791570859, 0.4839506172839506, 11.94080881933422, 0.2602107728685866
refl:, 0.4275251791570859, 0.47804878048780486, 11.793083782798943, 0.25926014291141586
refl:, 0.4275251791570859, 0.47228915662650606, 11.648995023590732, 0.25828106391345235
refl:, 0.4275251791570859, 0.4666666666666667, 11.508408977339421, 0.25727477704208235
refl:, 0.4275251791570859, 0.4611764705882353, 11.37119858666983, 0.2562395153461572
refl:, 0.4275251791570859, 0.4558139534883721, 11.23724290704701, 0.2551740956437644
refl:, 0.4275251791570859, 0.4505747126436782, 11.106426741117268, 0.2540803028372474
refl:, 0.4275251791570859, 0.4454545454545454, 10.978640299154753, 0.25295873317085843
refl:, 0.4275251791570859, 0.44044943820224725, 10.853778883451254, 0.2518070732573948
refl:, 0.4275251791570859, 0.43555555555555553, 10.731742594690267, 0.2506247305646683
refl:, 0.4275251791570859, 0.4307692307692308, 10.61243605852877, 0.249413825082604
refl:, 0.4275251791570859, 0.4260869565217391, 10.495768170772996, 0.2481743775271508
refl:, 0.4275251791570859, 0.421505376344086, 10.381651859681224, 0.24690419443990608
refl:, 0.4275251791570859, 0.41702127659574467, 10.270003864057921, 0.2456037441531416
refl:, 0.4275251791570859, 0.4126315789473684, 10.160744525922071, 0.24427554305470142
refl:, 0.4275251791570859, 0.4083333333333333, 10.053797596639106, 0.2429193465329389
refl:, 0.4275251791570859, 0.4041237113402062, 9.949090055502005, 0.24153322642643202
refl:, 0.4275251791570859, 0.4, 9.846551939834079, 0.2401180039660742
-----------
Initializing structure...
time for choose_chunkdivision = 0.000110865 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00934601 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.23217567515545764 / 0.23217567515545764 = 1.0
field decay(t = 100.01): 3.1895846890533654e-13 / 0.23217567515545764 = 1.3737807317315728e-12
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.016118 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.23217567572617967 / 0.23217567572617967 = 1.0
field decay(t = 100.01): 2.511386584143695e-11 / 0.23217567572617967 = 1.0816751480484724e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.5282728271758743, 0.8, 25.0, 0.2601481976279196
refl:, 0.5282728271758743, 0.784, 24.46679999189225, 0.2610696372423531
refl:, 0.5282728271758743, 0.7686274509803922, 23.95662859236144, 0.2618770325163737
refl:, 0.5282728271758743, 0.7538461538461539, 23.467975961566616, 0.2625788276586943
refl:, 0.5282728271758743, 0.739622641509434, 22.99946566139384, 0.2631817618626755
refl:, 0.5282728271758743, 0.7259259259259259, 22.54983979533518, 0.2636926798419164
refl:, 0.5282728271758743, 0.7127272727272727, 22.117946146436154, 0.2641189902441729
refl:, 0.5282728271758743, 0.7, 21.70272699899909, 0.2644658127354963
refl:, 0.5282728271758743, 0.6877192982456141, 21.303209386217617, 0.26473707694833154
refl:, 0.5282728271758743, 0.6758620689655173, 20.91849655102253, 0.26493869102120726
refl:, 0.5282728271758743, 0.664406779661017, 20.54776044367494, 0.26507564513451415
refl:, 0.5282728271758743, 0.6533333333333333, 20.19023510896709, 0.2651500052068409
refl:, 0.5282728271758743, 0.6426229508196721, 19.84521083974841, 0.26516501686911953
refl:, 0.5282728271758743, 0.632258064516129, 19.51202899301187, 0.26512536746580095
refl:, 0.5282728271758743, 0.6222222222222222, 19.190077380825585, 0.26503310672375896
refl:, 0.5282728271758743, 0.6124999999999999, 18.878786161658894, 0.26488908132632305
refl:, 0.5282728271758743, 0.6030769230769231, 18.577624168665142, 0.26469630209606193
refl:, 0.5282728271758743, 0.593939393939394, 18.28609562066815, 0.26445767784614754
refl:, 0.5282728271758743, 0.5850746268656717, 18.003737169291743, 0.26417370471931184
refl:, 0.5282728271758743, 0.5764705882352942, 17.730115242139682, 0.26384505077481407
refl:, 0.5282728271758743, 0.5681159420289855, 17.46482364739322, 0.26347427561024556
refl:, 0.5282728271758743, 0.56, 17.207481409818527, 0.26306325708398504
refl:, 0.5282728271758743, 0.552112676056338, 16.957730812108316, 0.262611771262809
refl:, 0.5282728271758743, 0.5444444444444444, 16.715235618835717, 0.2621203557572436
refl:, 0.5282728271758743, 0.536986301369863, 16.479679463167955, 0.2615915488530281
refl:, 0.5282728271758743, 0.5297297297297298, 16.250764378950514, 0.26102646172552363
refl:, 0.5282728271758743, 0.5226666666666667, 16.028209462892256, 0.26042407309811766
refl:, 0.5282728271758743, 0.5157894736842105, 15.811749653412038, 0.25978529806673434
refl:, 0.5282728271758743, 0.509090909090909, 15.60113461429131, 0.2591127130188696
refl:, 0.5282728271758743, 0.5025641025641026, 15.396127712651408, 0.25840617419006323
refl:, 0.5282728271758743, 0.4962025316455696, 15.196505081970068, 0.2576643632602327
refl:, 0.5282728271758743, 0.49, 15.002054761894165, 0.2568889467859571
refl:, 0.5282728271758743, 0.4839506172839506, 14.81257590751694, 0.2560818324629057
refl:, 0.5282728271758743, 0.47804878048780486, 14.627878061586326, 0.2552417285733339
refl:, 0.5282728271758743, 0.47228915662650606, 14.44778048381156, 0.25436772779199046
refl:, 0.5282728271758743, 0.4666666666666667, 14.272111532051735, 0.2534618054882236
refl:, 0.5282728271758743, 0.4611764705882353, 14.100708090713411, 0.2525248442883521
refl:, 0.5282728271758743, 0.4558139534883721, 13.933415042164041, 0.25155500702726324
refl:, 0.5282728271758743, 0.4505747126436782, 13.770084777392734, 0.25055182001671567
refl:, 0.5282728271758743, 0.4454545454545454, 13.610576742526133, 0.24951717022490025
refl:, 0.5282728271758743, 0.44044943820224725, 13.454757018141454, 0.24845117408859577
refl:, 0.5282728271758743, 0.43555555555555553, 13.30249792861589, 0.24735169966979012
refl:, 0.5282728271758743, 0.4307692307692308, 13.153677679016674, 0.2462187296769865
refl:, 0.5282728271758743, 0.4260869565217391, 13.008180017272103, 0.24505436171970374
refl:, 0.5282728271758743, 0.421505376344086, 12.865893919575512, 0.24385825418409707
refl:, 0.5282728271758743, 0.41702127659574467, 12.726713297162874, 0.2426284381212972
refl:, 0.5282728271758743, 0.4126315789473684, 12.590536722774571, 0.24136614460408662
refl:, 0.5282728271758743, 0.4083333333333333, 12.457267175263851, 0.24007405600657153
refl:, 0.5282728271758743, 0.4041237113402062, 12.326811800951434, 0.238751417728497
refl:, 0.5282728271758743, 0.4, 12.199081690448809, 0.2373967326334257
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108004 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00868416 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.22375100718842 / 0.22375100718842 = 1.0
field decay(t = 100.01): 4.4054832270861915e-13 / 0.22375100718842 = 1.9689221883038714e-12
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0171471 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.22375100783149995 / 0.22375100783149995 = 1.0
field decay(t = 100.01): 2.604590852088861e-11 / 0.22375100783149995 = 1.1640577074183724e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.6249999999999999, 0.8, 29.999999999999993, 0.2442050337697129
refl:, 0.6249999999999999, 0.784, 29.34058157502373, 0.24592026654412946
refl:, 0.6249999999999999, 0.7686274509803922, 28.711017527148794, 0.2474593095717218
refl:, 0.6249999999999999, 0.7538461538461539, 28.10922128260952, 0.24883736533494075
refl:, 0.6249999999999999, 0.739622641509434, 27.53330580109674, 0.25006920079221073
refl:, 0.6249999999999999, 0.7259259259259259, 26.98155921981659, 0.25116546178265714
refl:, 0.6249999999999999, 0.7127272727272727, 26.452424118557172, 0.2521360799590939
refl:, 0.6249999999999999, 0.7, 25.944479772370002, 0.2529918131418104
refl:, 0.6249999999999999, 0.6877192982456141, 25.45642688540588, 0.2537410511682661
refl:, 0.6249999999999999, 0.6758620689655173, 24.98707439783817, 0.2543901348468849
refl:, 0.6249999999999999, 0.664406779661017, 24.53532803474182, 0.2549460427718285
refl:, 0.6249999999999999, 0.6533333333333333, 24.10018032643974, 0.25541571682136277
refl:, 0.6249999999999999, 0.6426229508196721, 23.680701877992792, 0.25580383669879514
refl:, 0.6249999999999999, 0.632258064516129, 23.276033704033082, 0.2561140687592272
refl:, 0.6249999999999999, 0.6222222222222222, 22.885380476158563, 0.2563515425795029
refl:, 0.6249999999999999, 0.6124999999999999, 22.508004555237044, 0.2565208309064006
refl:, 0.6249999999999999, 0.6030769230769231, 22.14322070144805, 0.2566238743420462
refl:, 0.6249999999999999, 0.593939393939394, 21.79039137167391, 0.25666334314703
refl:, 0.6249999999999999, 0.5850746268656717, 21.448922527676533, 0.256643740595326
refl:, 0.6249999999999999, 0.5764705882352942, 21.118259889941786, 0.25656730578199227
refl:, 0.6249999999999999, 0.5681159420289855, 20.797885581592283, 0.25643465337781024
refl:, 0.6249999999999999, 0.56, 20.487315114722662, 0.256248873599916
refl:, 0.6249999999999999, 0.552112676056338, 20.186094678183196, 0.25601329709669296
refl:, 0.6249999999999999, 0.5444444444444444, 19.89379869145801, 0.25572829145150733
refl:, 0.6249999999999999, 0.536986301369863, 19.610027594036424, 0.255394616552182
refl:, 0.6249999999999999, 0.5297297297297298, 19.33440584370919, 0.2550154350698738
refl:, 0.6249999999999999, 0.5226666666666667, 19.066580100655866, 0.25459252830565576
refl:, 0.6249999999999999, 0.5157894736842105, 18.806217577124535, 0.25412542518907427
refl:, 0.6249999999999999, 0.509090909090909, 18.553004535020655, 0.2536152551480315
refl:, 0.6249999999999999, 0.5025641025641026, 18.306644915884704, 0.2530647648651237
refl:, 0.6249999999999999, 0.4962025316455696, 18.066859089603533, 0.25247451149799194
refl:, 0.6249999999999999, 0.49, 17.833382709813034, 0.251843602956665
refl:, 0.6249999999999999, 0.4839506172839506, 17.605965665348197, 0.25117351956545597
refl:, 0.6249999999999999, 0.47804878048780486, 17.38437111831227, 0.2504665488589744
refl:, 0.6249999999999999, 0.47228915662650606, 17.168374620396104, 0.2497220477831976
refl:, 0.6249999999999999, 0.4666666666666667, 16.957763300004142, 0.24893902021832587
refl:, 0.6249999999999999, 0.4611764705882353, 16.752335113553887, 0.24811948817045582
refl:, 0.6249999999999999, 0.4558139534883721, 16.551898155026578, 0.24726486187036864
refl:, 0.6249999999999999, 0.4505747126436782, 16.35627001847215, 0.24637335126615545
refl:, 0.6249999999999999, 0.4454545454545454, 16.165277208722518, 0.24544445758208924
refl:, 0.6249999999999999, 0.44044943820224725, 15.978754596053776, 0.24448044797494067
refl:, 0.6249999999999999, 0.43555555555555553, 15.796544910968182, 0.24348141406546195
refl:, 0.6249999999999999, 0.4307692307692308, 15.618498275648548, 0.24244508607372425
refl:, 0.6249999999999999, 0.4260869565217391, 15.44447176897603, 0.24137187009594935
refl:, 0.6249999999999999, 0.421505376344086, 15.274329022304034, 0.2402639528246127
refl:, 0.6249999999999999, 0.41702127659574467, 15.107939843449019, 0.23912065251888115
refl:, 0.6249999999999999, 0.4126315789473684, 14.94517986659885, 0.23794038016947253
refl:, 0.6249999999999999, 0.4083333333333333, 14.78593022605342, 0.23672496742401775
refl:, 0.6249999999999999, 0.4041237113402062, 14.630077251904048, 0.23547697979370008
refl:, 0.6249999999999999, 0.4, 14.477512185929921, 0.23419574038931623
-----------
Initializing structure...
time for choose_chunkdivision = 0.000112057 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00802183 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.2144470639002981 / 0.2144470639002981 = 1.0
field decay(t = 100.01): 5.749510870152026e-13 / 0.2144470639002981 = 2.6810863089387505e-12
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000110865 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.016397 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.21444706445458073 / 0.21444706445458073 = 1.0
field decay(t = 100.01): 2.737725032991902e-11 / 0.21444706445458073 = 1.276643744205575e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.7169705454388076, 0.8, 35.0, 0.22482605012853205
refl:, 0.7169705454388076, 0.784, 34.201491482224874, 0.2275879297659293
refl:, 0.7169705454388076, 0.7686274509803922, 33.4413597291606, 0.2300861771421993
refl:, 0.7169705454388076, 0.7538461538461539, 32.71669424141867, 0.23234663839124975
refl:, 0.7169705454388076, 0.739622641509434, 32.02489215108529, 0.2343911194485937
refl:, 0.7169705454388076, 0.7259259259259259, 31.363616172201723, 0.23623793864435802
refl:, 0.7169705454388076, 0.7127272727272727, 30.73075960358516, 0.23790584943527182
refl:, 0.7169705454388076, 0.7, 30.12441698853809, 0.2394088473062314
refl:, 0.7169705454388076, 0.6877192982456141, 29.542859352190995, 0.24075882698160853
refl:, 0.7169705454388076, 0.6758620689655173, 28.984513173223203, 0.24196961848162934
refl:, 0.7169705454388076, 0.664406779661017, 28.447942424882076, 0.24305087670480616
refl:, 0.7169705454388076, 0.6533333333333333, 27.931833156170086, 0.24400999332366932
refl:, 0.7169705454388076, 0.6426229508196721, 27.43498018882287, 0.24485687989558083
refl:, 0.7169705454388076, 0.632258064516129, 26.95627558715663, 0.24559913215899493
refl:, 0.7169705454388076, 0.6222222222222222, 26.49469862174186, 0.246241502598612
refl:, 0.7169705454388076, 0.6124999999999999, 26.049306998353728, 0.24679042717466868
refl:, 0.7169705454388076, 0.6030769230769231, 25.619229163859046, 0.2472523465378225
refl:, 0.7169705454388076, 0.593939393939394, 25.20365753294407, 0.24763123330505407
refl:, 0.7169705454388076, 0.5850746268656717, 24.80184250561243, 0.24793067603660995
refl:, 0.7169705454388076, 0.5764705882352942, 24.41308716651858, 0.24815554480891827
refl:, 0.7169705454388076, 0.5681159420289855, 24.036742574466203, 0.24831017863638788
refl:, 0.7169705454388076, 0.56, 23.672203564580393, 0.24839671574872801
refl:, 0.7169705454388076, 0.552112676056338, 23.318904997368072, 0.24841768322180216
refl:, 0.7169705454388076, 0.5444444444444444, 22.976318398592397, 0.24837749388988659
refl:, 0.7169705454388076, 0.536986301369863, 22.643948941980693, 0.24827859346807957
refl:, 0.7169705454388076, 0.5297297297297298, 22.321332733561132, 0.24812142120897318
refl:, 0.7169705454388076, 0.5226666666666667, 22.008034362119382, 0.24790902685773963
refl:, 0.7169705454388076, 0.5157894736842105, 21.703644685073712, 0.24764492885992392
refl:, 0.7169705454388076, 0.509090909090909, 21.407778823139967, 0.24732917319523862
refl:, 0.7169705454388076, 0.5025641025641026, 21.120074340620857, 0.24696243326222161
refl:, 0.7169705454388076, 0.4962025316455696, 20.840189591108683, 0.24654821236606225
refl:, 0.7169705454388076, 0.49, 20.56780221092012, 0.246087935342834
refl:, 0.7169705454388076, 0.4839506172839506, 20.302607744753697, 0.2455807741452668
refl:, 0.7169705454388076, 0.47804878048780486, 20.044318389931625, 0.24502832199568722
refl:, 0.7169705454388076, 0.47228915662650606, 19.79266184720379, 0.24443328421700983
refl:, 0.7169705454388076, 0.4666666666666667, 19.54738026749198, 0.24379556106465222
refl:, 0.7169705454388076, 0.4611764705882353, 19.308229285168313, 0.24311440973651832
refl:, 0.7169705454388076, 0.4558139534883721, 19.07497712952083, 0.2423917032614313
refl:, 0.7169705454388076, 0.4505747126436782, 18.847403806983923, 0.24162921270758458
refl:, 0.7169705454388076, 0.4454545454545454, 18.62530034751981, 0.24082577322829152
refl:, 0.7169705454388076, 0.44044943820224725, 18.408468109247096, 0.23998068018388435
refl:, 0.7169705454388076, 0.43555555555555553, 18.196718136035763, 0.23909605307915388
refl:, 0.7169705454388076, 0.4307692307692308, 17.98987056333767, 0.23817255818097147
refl:, 0.7169705454388076, 0.4260869565217391, 17.787754068005896, 0.23720797538105634
refl:, 0.7169705454388076, 0.421505376344086, 17.590205358285754, 0.236202366418755
refl:, 0.7169705454388076, 0.41702127659574467, 17.39706870053973, 0.23515820136339463
refl:, 0.7169705454388076, 0.4126315789473684, 17.20819547960629, 0.2340750107196232
refl:, 0.7169705454388076, 0.4083333333333333, 17.02344378999232, 0.2329510888033509
refl:, 0.7169705454388076, 0.4041237113402062, 16.842678055366356, 0.23178864386805378
refl:, 0.7169705454388076, 0.4, 16.665768674058118, 0.2305906700422077
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00882411 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.20454876789491885 / 0.20454876789491885 = 1.0
field decay(t = 100.01): 7.178635175771892e-13 / 0.20454876789491885 = 3.509498125874663e-12
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108004 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.018625 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.20454876813558592 / 0.20454876813558592 = 1.0
field decay(t = 100.01): 2.8174572450318613e-11 / 0.20454876813558592 = 1.3774012284270024e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.8034845121081741, 0.8, 39.99999999999999, 0.20179462162966672
refl:, 0.8034845121081741, 0.784, 39.04509528455022, 0.2059250719323383
refl:, 0.8034845121081741, 0.7686274509803922, 38.139646206191365, 0.20966397204966036
refl:, 0.8034845121081741, 0.7538461538461539, 37.27949726994566, 0.21305427397378518
refl:, 0.8034845121081741, 0.739622641509434, 36.46098976062103, 0.21613269723029083
refl:, 0.8034845121081741, 0.7259259259259259, 35.680884053707004, 0.21892741270212848
refl:, 0.8034845121081741, 0.7127272727272727, 34.93629688867566, 0.22146683922801672
refl:, 0.8034845121081741, 0.7, 34.22465020933728, 0.22377279980470224
refl:, 0.8034845121081741, 0.6877192982456141, 33.54362905484555, 0.22586624586940138
refl:, 0.8034845121081741, 0.6758620689655173, 32.89114661043291, 0.22776517254801126
refl:, 0.8034845121081741, 0.664406779661017, 32.265314978971055, 0.2294835019692795
refl:, 0.8034845121081741, 0.6533333333333333, 31.664420565727855, 0.2310373437439053
refl:, 0.8034845121081741, 0.6426229508196721, 31.086903214629274, 0.23243828166083527
refl:, 0.8034845121081741, 0.632258064516129, 30.531338419096144, 0.23369542692345546
refl:, 0.8034845121081741, 0.6222222222222222, 29.996422070856152, 0.2348212532271984
refl:, 0.8034845121081741, 0.6124999999999999, 29.480957317802616, 0.23582404434823864
refl:, 0.8034845121081741, 0.6030769230769231, 28.983843185365757, 0.23670970324155213
refl:, 0.8034845121081741, 0.593939393939394, 28.504064681021994, 0.2374874618810027
refl:, 0.8034845121081741, 0.5850746268656717, 28.0406841528977, 0.23816414677923553
refl:, 0.8034845121081741, 0.5764705882352942, 27.592833714170844, 0.2387438174110003
refl:, 0.8034845121081741, 0.5681159420289855, 27.159708577552564, 0.239232508084756
refl:, 0.8034845121081741, 0.56, 26.740561170354134, 0.23963612123153596
refl:, 0.8034845121081741, 0.552112676056338, 26.33469592188663, 0.23995828312103898
refl:, 0.8034845121081741, 0.5444444444444444, 25.94146463225064, 0.24020224568501714
refl:, 0.8034845121081741, 0.536986301369863, 25.560262345758233, 0.24037244343095185
refl:, 0.8034845121081741, 0.5297297297297298, 25.190523663916437, 0.2404730149043355
refl:, 0.8034845121081741, 0.5226666666666667, 24.831719442577725, 0.2405057199519815
refl:, 0.8034845121081741, 0.5157894736842105, 24.483353825914165, 0.24047273277761147
refl:, 0.8034845121081741, 0.509090909090909, 24.144961576600384, 0.2403784518025041
refl:, 0.8034845121081741, 0.5025641025641026, 23.816105667237974, 0.24022489861203003
refl:, 0.8034845121081741, 0.4962025316455696, 23.496375102814216, 0.24001212440412875
refl:, 0.8034845121081741, 0.49, 23.185382948015043, 0.2397434129524054
refl:, 0.8034845121081741, 0.4839506172839506, 22.882764536632674, 0.2394219863711472
refl:, 0.8034845121081741, 0.47804878048780486, 22.58817584322306, 0.23904730465890137
refl:, 0.8034845121081741, 0.47228915662650606, 22.301291999661412, 0.23862033792003395
refl:, 0.8034845121081741, 0.4666666666666667, 22.021805941382443, 0.23814466238694304
refl:, 0.8034845121081741, 0.4611764705882353, 21.749427169932794, 0.23762099874005177
refl:, 0.8034845121081741, 0.4558139534883721, 21.483880620051718, 0.23704845905896132
refl:, 0.8034845121081741, 0.4505747126436782, 21.224905620871482, 0.2364290006894749
refl:, 0.8034845121081741, 0.4454545454545454, 20.972254942022712, 0.23576489053070165
refl:, 0.8034845121081741, 0.44044943820224725, 20.725693916468796, 0.23505540516189377
refl:, 0.8034845121081741, 0.43555555555555553, 20.48499963280006, 0.23429986728741037
refl:, 0.8034845121081741, 0.4307692307692308, 20.249960190511292, 0.23350021386178307
refl:, 0.8034845121081741, 0.4260869565217391, 20.020374012481035, 0.23265749904183425
refl:, 0.8034845121081741, 0.421505376344086, 19.79604920948226, 0.23176986721335244
refl:, 0.8034845121081741, 0.41702127659574467, 19.576802992091316, 0.23083693098169072
refl:, 0.8034845121081741, 0.4126315789473684, 19.362461125837058, 0.22986107450928206
refl:, 0.8034845121081741, 0.4083333333333333, 19.15285742585141, 0.2288423958877941
refl:, 0.8034845121081741, 0.4041237113402062, 18.9478332876545, 0.22777913143869027
refl:, 0.8034845121081741, 0.4, 18.747237251037504, 0.22667336344348024
-----------
Initializing structure...
time for choose_chunkdivision = 0.000111103 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.006598 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.1943564114319847 / 0.1943564114319847 = 1.0
field decay(t = 100.01): 8.613369505850488e-13 / 0.1943564114319847 = 4.431739319731548e-12
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108004 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0163691 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.1943564112167818 / 0.1943564112167818 = 1.0
field decay(t = 100.01): 2.929219089217826e-11 / 0.1943564112167818 = 1.5071378766870859e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.8838834764831843, 0.8, 44.99999999999999, 0.1749506546010766
refl:, 0.8838834764831843, 0.784, 43.865246854678944, 0.18084614262894314
refl:, 0.8838834764831843, 0.7686274509803922, 42.79498686880298, 0.18616490888473136
refl:, 0.8838834764831843, 0.7538461538461539, 41.78306957363623, 0.1909834896778329
refl:, 0.8838834764831843, 0.739622641509434, 40.82419653278361, 0.1953532231998348
refl:, 0.8838834764831843, 0.7259259259259259, 39.913765803587594, 0.19932045676242707
refl:, 0.8838834764831843, 0.7127272727272727, 39.047751315763335, 0.20293092176670602
refl:, 0.8838834764831843, 0.7, 38.2226079814105, 0.20621465898807328
refl:, 0.8838834764831843, 0.6877192982456141, 37.435196089128915, 0.20920558346668153
refl:, 0.8838834764831843, 0.6758620689655173, 36.682720369951866, 0.21192936258982145
refl:, 0.8838834764831843, 0.664406779661017, 35.962680378531154, 0.2144091185242741
refl:, 0.8838834764831843, 0.6533333333333333, 35.272829708778914, 0.21666666414632094
refl:, 0.8838834764831843, 0.6426229508196721, 34.61114218453038, 0.2187182335956619
refl:, 0.8838834764831843, 0.632258064516129, 33.975783613579615, 0.22058228827610923
refl:, 0.8838834764831843, 0.6222222222222222, 33.36508802077569, 0.22227211810191635
refl:, 0.8838834764831843, 0.6124999999999999, 32.77753751829758, 0.22379917822267162
refl:, 0.8838834764831843, 0.6030769230769231, 32.21174515294742, 0.225178014297656
refl:, 0.8838834764831843, 0.593939393939394, 31.666440208036935, 0.22641701701757366
refl:, 0.8838834764831843, 0.5850746268656717, 31.14045554291693, 0.22752429105750807
refl:, 0.8838834764831843, 0.5764705882352942, 30.6327166347442, 0.22851103000945724
refl:, 0.8838834764831843, 0.5681159420289855, 30.142232050688204, 0.2293833309292736
refl:, 0.8838834764831843, 0.56, 29.66808512880701, 0.23014665030198314
refl:, 0.8838834764831843, 0.552112676056338, 29.20942668547734, 0.2308091072410071
refl:, 0.8838834764831843, 0.5444444444444444, 28.765468598924116, 0.23137604508998047
refl:, 0.8838834764831843, 0.536986301369863, 28.33547814384704, 0.23185120425684555
refl:, 0.8838834764831843, 0.5297297297297298, 27.91877297273401, 0.23223967284122596
refl:, 0.8838834764831843, 0.5226666666666667, 27.514716656212954, 0.23254649427327514
refl:, 0.8838834764831843, 0.5157894736842105, 27.12271470851516, 0.23277497605931805
refl:, 0.8838834764831843, 0.509090909090909, 26.742211035417114, 0.2329274877105852
refl:, 0.8838834764831843, 0.5025641025641026, 26.372684751370738, 0.23300817835325607
refl:, 0.8838834764831843, 0.4962025316455696, 26.013647320299032, 0.23302096475520206
refl:, 0.8838834764831843, 0.49, 25.66463998102006, 0.23296661309174865
refl:, 0.8838834764831843, 0.4839506172839506, 25.32523142370283, 0.2328473819749458
refl:, 0.8838834764831843, 0.47804878048780486, 24.99501568834094, 0.23266777547883646
refl:, 0.8838834764831843, 0.47228915662650606, 24.673610260104642, 0.2324286704369094
refl:, 0.8838834764831843, 0.4666666666666667, 24.360654339720863, 0.23213016162250638
refl:, 0.8838834764831843, 0.4611764705882353, 24.055807269832574, 0.23177609164136181
refl:, 0.8838834764831843, 0.4558139534883721, 23.75874710068368, 0.2313686559958002
refl:, 0.8838834764831843, 0.4505747126436782, 23.46916928052956, 0.23090689658521463
refl:, 0.8838834764831843, 0.4454545454545454, 23.18678545794031, 0.23039248392782377
refl:, 0.8838834764831843, 0.44044943820224725, 22.911322384688706, 0.22982847953509086
refl:, 0.8838834764831843, 0.43555555555555553, 22.64252090923418, 0.22921468760037644
refl:, 0.8838834764831843, 0.4307692307692308, 22.380135051959574, 0.2285503145110825
refl:, 0.8838834764831843, 0.4260869565217391, 22.123931154313652, 0.22783728199610298
refl:, 0.8838834764831843, 0.421505376344086, 21.873687094881706, 0.22707701516938034
refl:, 0.8838834764831843, 0.41702127659574467, 21.629191566166806, 0.226267933168201
refl:, 0.8838834764831843, 0.4126315789473684, 21.390243406530644, 0.22540929123705422
refl:, 0.8838834764831843, 0.4083333333333333, 21.156650982328358, 0.22450324859888127
refl:, 0.8838834764831843, 0.4041237113402062, 20.928231615787418, 0.2235503997974889
refl:, 0.8838834764831843, 0.4, 20.704811054635428, 0.22254911459777174
-----------
Initializing structure...
time for choose_chunkdivision = 0.000109911 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.006423 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.18417632037527257 / 0.18417632037527257 = 1.0
field decay(t = 100.01): 1.0178427595748204e-12 / 0.18417632037527257 = 5.5264583280895835e-12
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000110865 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0184629 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.18417631975521828 / 0.18417631975521828 = 1.0
field decay(t = 100.01): 2.8713012611847576e-11 / 0.18417631975521828 = 1.5589958931750262e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 0.9575555538987225, 0.8, 50.0, 0.14429067301668
refl:, 0.9575555538987225, 0.784, 48.6530933185261, 0.15241249489296654
refl:, 0.9575555538987225, 0.7686274509803922, 47.39207738436693, 0.15970237410745958
refl:, 0.9575555538987225, 0.7538461538461539, 46.207396358038395, 0.16628917742963503
refl:, 0.9575555538987225, 0.739622641509434, 45.091066324150106, 0.1722363131532337
refl:, 0.9575555538987225, 0.7259259259259259, 44.036334278275795, 0.1776288135399773
refl:, 0.9575555538987225, 0.7127272727272727, 43.037427456538545, 0.1825236470768417
refl:, 0.9575555538987225, 0.7, 42.089365210987516, 0.1869718164862598
refl:, 0.9575555538987225, 0.6877192982456141, 41.18781524255363, 0.19102552097133876
refl:, 0.9575555538987225, 0.6758620689655173, 40.32898196453324, 0.19471651743120957
refl:, 0.9575555538987225, 0.664406779661017, 39.50951857909891, 0.1980846376246996
refl:, 0.9575555538987225, 0.6533333333333333, 38.726456948394606, 0.20115681830261414
refl:, 0.9575555538987225, 0.6426229508196721, 37.97715101972185, 0.20395988101926588
refl:, 0.9575555538987225, 0.632258064516129, 37.25923071465613, 0.20651807398114963
refl:, 0.9575555538987225, 0.6222222222222222, 36.57056399547784, 0.20884957043569513
refl:, 0.9575555538987225, 0.6124999999999999, 35.909225393217994, 0.21097550520798009
refl:, 0.9575555538987225, 0.6030769230769231, 35.273469693564564, 0.21290924565401623
refl:, 0.9575555538987225, 0.593939393939394, 34.6617097783444, 0.214665416754943
refl:, 0.9575555538987225, 0.5850746268656717, 34.07249784378941, 0.2162593463941121
refl:, 0.9575555538987225, 0.5764705882352942, 33.504509384470694, 0.21769885837479563
refl:, 0.9575555538987225, 0.5681159420289855, 32.95652945897567, 0.2189956192414337
refl:, 0.9575555538987225, 0.56, 32.42744085087325, 0.22016058268759847
refl:, 0.9575555538987225, 0.552112676056338, 31.91621381391884, 0.22119898455404
refl:, 0.9575555538987225, 0.5444444444444444, 31.42189714930561, 0.22211935917204448
refl:, 0.9575555538987225, 0.536986301369863, 30.943610409083956, 0.2229298821236265
refl:, 0.9575555538987225, 0.5297297297297298, 30.480537056602333, 0.22363493657078803
refl:, 0.9575555538987225, 0.5226666666666667, 30.031918444163345, 0.2242400133418431
refl:, 0.9575555538987225, 0.5157894736842105, 29.597048491686717, 0.22475115535497284
refl:, 0.9575555538987225, 0.509090909090909, 29.17526896927061, 0.2251729335780506
refl:, 0.9575555538987225, 0.5025641025641026, 28.76596530209651, 0.22550858491249842
refl:, 0.9575555538987225, 0.4962025316455696, 28.36856282886028, 0.22576196217784258
refl:, 0.9575555538987225, 0.49, 27.982523455399697, 0.22593807040959396
refl:, 0.9575555538987225, 0.4839506172839506, 27.60734265386835, 0.22603917633476883
refl:, 0.9575555538987225, 0.47804878048780486, 27.24254676502359, 0.22606684493527063
refl:, 0.9575555538987225, 0.47228915662650606, 26.88769056722596, 0.22602594884033364
refl:, 0.9575555538987225, 0.4666666666666667, 26.54235508080712, 0.22591913511748662
refl:, 0.9575555538987225, 0.4611764705882353, 26.206145580726076, 0.2257461894573964
refl:, 0.9575555538987225, 0.4558139534883721, 25.878689794039474, 0.2255106337747593
refl:, 0.9575555538987225, 0.4505747126436782, 25.55963626177365, 0.22521611643853037
refl:, 0.9575555538987225, 0.4454545454545454, 25.248652847395146, 0.2248621048576318
refl:, 0.9575555538987225, 0.44044943820224725, 24.945425376307522, 0.2244497571914091
refl:, 0.9575555538987225, 0.43555555555555553, 24.64965639271632, 0.22398274531115286
refl:, 0.9575555538987225, 0.4307692307692308, 24.361064021851533, 0.22346171326862457
refl:, 0.9575555538987225, 0.4260869565217391, 24.079380926958596, 0.22288585592315466
refl:, 0.9575555538987225, 0.421505376344086, 23.804353351700417, 0.22225690920257898
refl:, 0.9575555538987225, 0.41702127659574467, 23.535740239681235, 0.22157652716566317
refl:, 0.9575555538987225, 0.4126315789473684, 23.27331242373393, 0.22084351574148542
refl:, 0.9575555538987225, 0.4083333333333333, 23.016851878423925, 0.220057130518136
refl:, 0.9575555538987225, 0.4041237113402062, 22.76615102993319, 0.21921919579654955
refl:, 0.9575555538987225, 0.4, 22.521012118111, 0.21832995493951468
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108004 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00824594 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.17431196343224772 / 0.17431196343224772 = 1.0
field decay(t = 100.01): 1.226599619152291e-12 / 0.17431196343224772 = 7.0368068547919865e-12
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0162461 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.17431196264184795 / 0.17431196264184795 = 1.0
field decay(t = 100.01): 2.9177363356244976e-11 / 0.17431196264184795 = 1.6738589201817764e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 1.0239400553612397, 0.8, 54.99999999999999, 0.11015750327021501
refl:, 1.0239400553612397, 0.784, 53.39534223243568, 0.12100519786278613
refl:, 1.0239400553612397, 0.7686274509803922, 51.90867481651075, 0.13067356321855755
refl:, 1.0239400553612397, 0.7538461538461539, 50.524208813748004, 0.1393743175816963
refl:, 1.0239400553612397, 0.739622641509434, 49.22931269112476, 0.14718461760941978
refl:, 1.0239400553612397, 0.7259259259259259, 48.013685667151286, 0.15425442212255983
refl:, 1.0239400553612397, 0.7127272727272727, 46.86879216202182, 0.16064116852684127
refl:, 1.0239400553612397, 0.7, 45.787462696319906, 0.1664466525245801
refl:, 1.0239400553612397, 0.6877192982456141, 44.7636047370949, 0.17171830451504444
refl:, 1.0239400553612397, 0.6758620689655173, 43.79198840588911, 0.17651889499651638
refl:, 1.0239400553612397, 0.664406779661017, 42.868084512177944, 0.1808955749197593
refl:, 1.0239400553612397, 0.6533333333333333, 41.98794000564178, 0.18488590864155194
refl:, 1.0239400553612397, 0.6426229508196721, 41.148080731197126, 0.1885334768453189
refl:, 1.0239400553612397, 0.632258064516129, 40.345434464399176, 0.19186399028554912
refl:, 1.0239400553612397, 0.6222222222222222, 39.57726925315509, 0.1949105801621511
refl:, 1.0239400553612397, 0.6124999999999999, 38.841143478370526, 0.19769436000574783
refl:, 1.0239400553612397, 0.6030769230769231, 38.13486500383326, 0.20023789123980396
refl:, 1.0239400553612397, 0.593939393939394, 37.45645745905701, 0.2025624060128163
refl:, 1.0239400553612397, 0.5850746268656717, 36.80413218014341, 0.204680856177325
refl:, 1.0239400553612397, 0.5764705882352942, 36.176264682924305, 0.2066128346051995
refl:, 1.0239400553612397, 0.5681159420289855, 35.57137479946729, 0.20837010840175924
refl:, 1.0239400553612397, 0.56, 34.98810980028866, 0.2099625172331732
refl:, 1.0239400553612397, 0.552112676056338, 34.42522996870841, 0.21140487263605512
refl:, 1.0239400553612397, 0.5444444444444444, 33.881596203503065, 0.2127045522560479
refl:, 1.0239400553612397, 0.536986301369863, 33.35615931039313, 0.21386953098052403
refl:, 1.0239400553612397, 0.5297297297297298, 32.847950708397136, 0.21491013773280657
refl:, 1.0239400553612397, 0.5226666666666667, 32.3560743283589, 0.21583212552616557
refl:, 1.0239400553612397, 0.5157894736842105, 31.87969952142079, 0.2166414381263308
refl:, 1.0239400553612397, 0.509090909090909, 31.41805482739263, 0.21734485598596862
refl:, 1.0239400553612397, 0.5025641025641026, 30.97042247873359, 0.2179480717640861
refl:, 1.0239400553612397, 0.4962025316455696, 30.536133536635912, 0.21845549976557374
refl:, 1.0239400553612397, 0.49, 30.114563572550164, 0.21887075023784372
refl:, 1.0239400553612397, 0.4839506172839506, 29.70512882224086, 0.21919941164026552
refl:, 1.0239400553612397, 0.47804878048780486, 29.307282750744406, 0.21944546389616373
refl:, 1.0239400553612397, 0.47228915662650606, 28.920512975908146, 0.21961022544356806
refl:, 1.0239400553612397, 0.4666666666666667, 28.544338505905493, 0.2196984674330614
refl:, 1.0239400553612397, 0.4611764705882353, 28.178307252549438, 0.21971428386147993
refl:, 1.0239400553612397, 0.4558139534883721, 27.821993787605123, 0.21965764862748693
refl:, 1.0239400553612397, 0.4505747126436782, 27.474997313821564, 0.21953193965864698
refl:, 1.0239400553612397, 0.4454545454545454, 27.13693982621647, 0.21934178652625613
refl:, 1.0239400553612397, 0.44044943820224725, 26.80746444237855, 0.21908700093353123
refl:, 1.0239400553612397, 0.43555555555555553, 26.486233883298294, 0.21876853077786598
refl:, 1.0239400553612397, 0.4307692307692308, 26.172929088582443, 0.2183905958409472
refl:, 1.0239400553612397, 0.4260869565217391, 25.867247951913267, 0.21795488284012238
refl:, 1.0239400553612397, 0.421505376344086, 25.56890416433822, 0.21746063743615796
refl:, 1.0239400553612397, 0.41702127659574467, 25.277626154460066, 0.21690850348145124
refl:, 1.0239400553612397, 0.4126315789473684, 24.993156115881433, 0.21630059246127992
refl:, 1.0239400553612397, 0.4083333333333333, 24.715249113370163, 0.21563737630418256
refl:, 1.0239400553612397, 0.4041237113402062, 24.443672260178424, 0.2149184652144797
refl:, 1.0239400553612397, 0.4, 24.178203959791162, 0.2141434469115452
-----------
Initializing structure...
time for choose_chunkdivision = 0.000112057 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.0063448 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.16505586379118362 / 0.16505586379118362 = 1.0
field decay(t = 100.01): 1.6796657955389861e-12 / 0.16505586379118362 = 1.0176347310289891e-11
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000111818 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.020278 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.16505586311279807 / 0.16505586311279807 = 1.0
field decay(t = 100.01): 3.3223715038456985e-11 / 0.16505586311279807 = 2.0128769988468766e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 1.0825317547305482, 0.8, 59.99999999999999, 0.07360773441443474
refl:, 1.0825317547305482, 0.784, 58.07108488083593, 0.08756183349395384
refl:, 1.0825317547305482, 0.7686274509803922, 56.311309260669624, 0.09993186958234106
refl:, 1.0825317547305482, 0.7538461538461539, 54.69254540505164, 0.11102792920544496
refl:, 1.0825317547305482, 0.739622641509434, 53.19365179333026, 0.12095671757064261
refl:, 1.0825317547305482, 0.7259259259259259, 51.798237196004614, 0.12989111490169047
refl:, 1.0825317547305482, 0.7127272727272727, 50.49327371888257, 0.13795385843502186
refl:, 1.0825317547305482, 0.7, 49.268194122622916, 0.14525656081749277
refl:, 1.0825317547305482, 0.6877192982456141, 48.11428082873218, 0.15187584382721003
refl:, 1.0825317547305482, 0.6758620689655173, 47.024238635081495, 0.15790192109849083
refl:, 1.0825317547305482, 0.664406779661017, 45.99188753936469, 0.16337692994168027
refl:, 1.0825317547305482, 0.6533333333333333, 45.01193662107726, 0.16837576220748254
refl:, 1.0825317547305482, 0.6426229508196721, 44.07981414374115, 0.1729308563822558
refl:, 1.0825317547305482, 0.632258064516129, 43.191537588393835, 0.17709787538099556
refl:, 1.0825317547305482, 0.6222222222222222, 42.34361264736431, 0.18090702518494378
refl:, 1.0825317547305482, 0.6124999999999999, 41.53295361356457, 0.18439374819992094
refl:, 1.0825317547305482, 0.6030769230769231, 40.756819839298586, 0.1875864032458676
refl:, 1.0825317547305482, 0.593939393939394, 40.01276444425686, 0.1905057507798468
refl:, 1.0825317547305482, 0.5850746268656717, 39.298592486049785, 0.19318030905511865
refl:, 1.0825317547305482, 0.5764705882352942, 38.61232652957572, 0.1956239605857035
refl:, 1.0825317547305482, 0.5681159420289855, 37.9521780657052, 0.19785784772625742
refl:, 1.0825317547305482, 0.56, 37.31652360111115, 0.19989839276598212
refl:, 1.0825317547305482, 0.552112676056338, 36.70388451304266, 0.2017547526768604
refl:, 1.0825317547305482, 0.5444444444444444, 36.112909964600526, 0.20344360330889855
refl:, 1.0825317547305482, 0.536986301369863, 35.54236232752769, 0.20497480625666326
refl:, 1.0825317547305482, 0.5297297297297298, 34.991104674473426, 0.20635699484209216
refl:, 1.0825317547305482, 0.5226666666666667, 34.4580899908132, 0.20760151265764157
refl:, 1.0825317547305482, 0.5157894736842105, 33.94235182430718, 0.20871528450622134
refl:, 1.0825317547305482, 0.509090909090909, 33.442996144127704, 0.20970524738496094
refl:, 1.0825317547305482, 0.5025641025641026, 32.95919422270091, 0.2105783514069682
refl:, 1.0825317547305482, 0.4962025316455696, 32.4901763870572, 0.2113414215404359
refl:, 1.0825317547305482, 0.49, 32.035226512949734, 0.21200027362523924
refl:, 1.0825317547305482, 0.4839506172839506, 31.593677156370052, 0.21255807961996584
refl:, 1.0825317547305482, 0.47804878048780486, 31.164905234389202, 0.21302071809138926
refl:, 1.0825317547305482, 0.47228915662650606, 30.748328181342448, 0.21339356617448996
refl:, 1.0825317547305482, 0.4666666666666667, 30.343400517915825, 0.2136782430141135
refl:, 1.0825317547305482, 0.4611764705882353, 29.949610780196405, 0.21387969509149066
refl:, 1.0825317547305482, 0.4558139534883721, 29.566478763613983, 0.2140025648813409
refl:, 1.0825317547305482, 0.4505747126436782, 29.193553043244272, 0.21404664550288702
refl:, 1.0825317547305482, 0.4454545454545454, 28.830408737409662, 0.2140158741099825
refl:, 1.0825317547305482, 0.44044943820224725, 28.47664548610104, 0.2139163515040305
refl:, 1.0825317547305482, 0.43555555555555553, 28.131885619609587, 0.213747755347228
refl:, 1.0825317547305482, 0.4307692307692308, 27.79577249602797, 0.2135103221579689
refl:, 1.0825317547305482, 0.4260869565217391, 27.46796898905743, 0.21320790783224955
refl:, 1.0825317547305482, 0.421505376344086, 27.14815610992485, 0.2128440342182022
refl:, 1.0825317547305482, 0.41702127659574467, 26.836031749237822, 0.21242171734687695
refl:, 1.0825317547305482, 0.4126315789473684, 26.531309526343414, 0.21193780892543815
refl:, 1.0825317547305482, 0.4083333333333333, 26.23371773525153, 0.21138950860192895
refl:, 1.0825317547305482, 0.4041237113402062, 25.94299837747481, 0.21078013578978685
refl:, 1.0825317547305482, 0.4, 25.65890627325528, 0.2101171783272214
-----------
Initializing structure...
time for choose_chunkdivision = 0.000109911 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00752401 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.15668265201002152 / 0.15668265201002152 = 1.0
field decay(t = 100.01): 2.2446823295144107e-12 / 0.15668265201002152 = 1.4326297779098349e-11
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000112057 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0143809 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.1566826516265948 / 0.1566826516265948 = 1.0
field decay(t = 100.01): 3.452976998428892e-11 / 0.1566826516265948 = 2.2038030136597423e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 1.1328847337958123, 0.8, 64.99999999999999, 0.037170886043112084
refl:, 1.1328847337958123, 0.784, 62.645633431180784, 0.05362783985573467
refl:, 1.1328847337958123, 0.7686274509803922, 60.547811567584965, 0.06875709351287543
refl:, 1.1328847337958123, 0.7538461538461539, 58.65172469781183, 0.082354616478198
refl:, 1.1328847337958123, 0.739622641509434, 56.919780417243786, 0.09462755396270182
refl:, 1.1328847337958123, 0.7259259259259259, 55.32480276439999, 0.10557645638030469
refl:, 1.1328847337958123, 0.7127272727272727, 53.84635215217889, 0.11544950273548941
refl:, 1.1328847337958123, 0.7, 52.468573108244414, 0.1243168343725702
refl:, 1.1328847337958123, 0.6877192982456141, 51.17885777022349, 0.13235703881433808
refl:, 1.1328847337958123, 0.6758620689655173, 49.96697533403755, 0.139626360552005
refl:, 1.1328847337958123, 0.664406779661017, 48.82448244349733, 0.14625471025031767
refl:, 1.1328847337958123, 0.6533333333333333, 47.744310665402864, 0.1522788790416092
refl:, 1.1328847337958123, 0.6426229508196721, 46.720469815981424, 0.1577852862490647
refl:, 1.1328847337958123, 0.632258064516129, 45.7478295128327, 0.16280555175366354
refl:, 1.1328847337958123, 0.6222222222222222, 44.82195500406973, 0.167398621072885
refl:, 1.1328847337958123, 0.6124999999999999, 43.93898156096055, 0.17159777718924688
refl:, 1.1328847337958123, 0.6030769230769231, 43.09551684594588, 0.17544391308281032
refl:, 1.1328847337958123, 0.593939393939394, 42.288563952640665, 0.1789701508099767
refl:, 1.1328847337958123, 0.5850746268656717, 41.51545997434592, 0.18219866439447
refl:, 1.1328847337958123, 0.5764705882352942, 40.77382641078957, 0.185160771243366
refl:, 1.1328847337958123, 0.5681159420289855, 40.06152872079658, 0.18786997681737858
refl:, 1.1328847337958123, 0.56, 39.37664302675111, 0.19035022781311492
refl:, 1.1328847337958123, 0.552112676056338, 38.717428473384835, 0.19261993394590182
refl:, 1.1328847337958123, 0.5444444444444444, 38.08230410219336, 0.19469110743273724
refl:, 1.1328847337958123, 0.536986301369863, 37.4698293655767, 0.1965812755931606
refl:, 1.1328847337958123, 0.5297297297297298, 36.87868759977799, 0.19830004161335185
refl:, 1.1328847337958123, 0.5226666666666667, 36.307671922074825, 0.19985824848269654
refl:, 1.1328847337958123, 0.5157894736842105, 35.75567312877807, 0.20126711563403166
refl:, 1.1328847337958123, 0.509090909090909, 35.22166925577522, 0.20253568251243403
refl:, 1.1328847337958123, 0.5025641025641026, 34.70471652928195, 0.2036726801968963
refl:, 1.1328847337958123, 0.4962025316455696, 34.203941485939055, 0.20468320295652365
refl:, 1.1328847337958123, 0.49, 33.7185340819115, 0.20557517176695547
refl:, 1.1328847337958123, 0.4839506172839506, 33.247741642788455, 0.20635542059630924
refl:, 1.1328847337958123, 0.47804878048780486, 32.790863531764046, 0.2070277254966668
refl:, 1.1328847337958123, 0.47228915662650606, 32.347246434236666, 0.20759964094140226
refl:, 1.1328847337958123, 0.4666666666666667, 31.91628017368787, 0.20807496149136276
refl:, 1.1328847337958123, 0.4611764705882353, 31.497393987322308, 0.20845469225613245
refl:, 1.1328847337958123, 0.4558139534883721, 31.090053201105746, 0.20874562394291427
refl:, 1.1328847337958123, 0.4505747126436782, 30.693756253024553, 0.20895386380475825
refl:, 1.1328847337958123, 0.4454545454545454, 30.308032020994055, 0.20908023176898172
refl:, 1.1328847337958123, 0.44044943820224725, 29.9324374181665, 0.209125738596599
refl:, 1.1328847337958123, 0.43555555555555553, 29.5665552236732, 0.20909456295065154
refl:, 1.1328847337958123, 0.4307692307692308, 29.209992121269647, 0.20899049887482632
refl:, 1.1328847337958123, 0.4260869565217391, 28.86237692208816, 0.2088190433084917
refl:, 1.1328847337958123, 0.421505376344086, 28.523358950864424, 0.2085833129971406
refl:, 1.1328847337958123, 0.41702127659574467, 28.192606577687982, 0.2082742041204916
refl:, 1.1328847337958123, 0.4126315789473684, 27.86980587961545, 0.2078930131964556
refl:, 1.1328847337958123, 0.4083333333333333, 27.554659418441407, 0.20745662776433935
refl:, 1.1328847337958123, 0.4041237113402062, 27.246885122601544, 0.20697561960434535
refl:, 1.1328847337958123, 0.4, 26.946215262627685, 0.20643519600186538
-----------
Initializing structure...
time for choose_chunkdivision = 0.000110865 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00959396 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.14944315649486126 / 0.14944315649486126 = 1.0
field decay(t = 100.01): 4.987937476864823e-12 / 0.14944315649486126 = 3.3376820952228335e-11
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.0218339 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.14944315644072245 / 0.14944315644072245 = 1.0
field decay(t = 100.01): 3.807851695141726e-11 / 0.14944315644072245 = 2.548026812222836e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 1.1746157759823854, 0.8, 70.0, 0.008715934286147569
refl:, 1.1746157759823854, 0.784, 67.05783140972835, 0.024210799209089452
refl:, 1.1746157759823854, 0.7686274509803922, 64.53417775149677, 0.04029873111181387
refl:, 1.1746157759823854, 0.7538461538461539, 62.31059707934406, 0.0555678814867085
refl:, 1.1746157759823854, 0.739622641509434, 60.31629899672389, 0.06970125775811391
refl:, 1.1746157759823854, 0.7259259259259259, 58.50481213939229, 0.08255524971343331
refl:, 1.1746157759823854, 0.7127272727272727, 56.843594941553754, 0.09413263635827869
refl:, 1.1746157759823854, 0.7, 55.30875739675561, 0.10463698983404623
refl:, 1.1746157759823854, 0.6877192982456141, 53.88211612099151, 0.11407493400247079
refl:, 1.1746157759823854, 0.6758620689655173, 52.54943143507829, 0.1226472707657511
refl:, 1.1746157759823854, 0.664406779661017, 51.29929235382265, 0.13039930819744874
refl:, 1.1746157759823854, 0.6533333333333333, 50.122379445158494, 0.13744242808130103
refl:, 1.1746157759823854, 0.6426229508196721, 49.010959419193355, 0.1438468426182844
refl:, 1.1746157759823854, 0.632258064516129, 47.958527855818005, 0.14968921112177416
refl:, 1.1746157759823854, 0.6222222222222222, 46.9595500055931, 0.1550186900782557
refl:, 1.1746157759823854, 0.6124999999999999, 46.00926848902442, 0.15990623687364083
refl:, 1.1746157759823854, 0.6030769230769231, 45.103557823882895, 0.1643748532843572
refl:, 1.1746157759823854, 0.593939393939394, 44.23881248012816, 0.16847752780425043
refl:, 1.1746157759823854, 0.5850746268656717, 43.41185942214757, 0.1722356163059057
refl:, 1.1746157759823854, 0.5764705882352942, 42.619888854495166, 0.17567897390885354
refl:, 1.1746157759823854, 0.5681159420289855, 41.860398715356425, 0.17883996497200733
refl:, 1.1746157759823854, 0.56, 41.131149701242414, 0.18173480153232927
refl:, 1.1746157759823854, 0.552112676056338, 40.430128463310105, 0.18439121641848574
refl:, 1.1746157759823854, 0.5444444444444444, 39.75551721886283, 0.18682378756973045
refl:, 1.1746157759823854, 0.536986301369863, 39.10566845306894, 0.18904674104030247
refl:, 1.1746157759823854, 0.5297297297297298, 38.479083699202135, 0.19107686788902303
refl:, 1.1746157759823854, 0.5226666666666667, 37.87439561623927, 0.19292625454975332
refl:, 1.1746157759823854, 0.5157894736842105, 37.29035275442276, 0.19460884663783543
refl:, 1.1746157759823854, 0.509090909090909, 36.72580652885898, 0.1961345571897698
refl:, 1.1746157759823854, 0.5025641025641026, 36.179700019842116, 0.1975122933988443
refl:, 1.1746157759823854, 0.4962025316455696, 35.651058294458764, 0.19875051751344916
refl:, 1.1746157759823854, 0.49, 35.138980002927255, 0.19985541870413245
refl:, 1.1746157759823854, 0.4839506172839506, 34.64263004924646, 0.20083789883449643
refl:, 1.1746157759823854, 0.47804878048780486, 34.161233172132036, 0.2017049645889793
refl:, 1.1746157759823854, 0.47228915662650606, 33.69406830116886, 0.20245751259203246
refl:, 1.1746157759823854, 0.4666666666666667, 33.24046357629389, 0.20310354230391978
refl:, 1.1746157759823854, 0.4611764705882353, 32.79979193741594, 0.2036476720462249
refl:, 1.1746157759823854, 0.4558139534883721, 32.37146720614281, 0.20409307625590972
refl:, 1.1746157759823854, 0.4505747126436782, 31.954940593960732, 0.20445096223605416
refl:, 1.1746157759823854, 0.4454545454545454, 31.549697581364857, 0.20471845410715214
refl:, 1.1746157759823854, 0.44044943820224725, 31.155255120816925, 0.20489444063169535
refl:, 1.1746157759823854, 0.43555555555555553, 30.771159123350074, 0.2049889592193817
refl:, 1.1746157759823854, 0.4307692307692308, 30.396982194426784, 0.20500542736591415
refl:, 1.1746157759823854, 0.4260869565217391, 30.032321589495837, 0.20495768982428397
refl:, 1.1746157759823854, 0.421505376344086, 29.67679736376329, 0.20483056853588974
refl:, 1.1746157759823854, 0.41702127659574467, 29.33005069412437, 0.20461216911883964
refl:, 1.1746157759823854, 0.4126315789473684, 28.991742354111988, 0.2043374679527374
refl:, 1.1746157759823854, 0.4083333333333333, 28.66155132518973, 0.20400220026620766
refl:, 1.1746157759823854, 0.4041237113402062, 28.339173529827534, 0.2036399273981529
refl:, 1.1746157759823854, 0.4, 28.024320673604695, 0.20318419566870832
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00775695 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.14355855111904026 / 0.14355855111904026 = 1.0
field decay(t = 100.01): 9.667874474337293e-12 / 0.14355855111904026 = 6.734446954901761e-11
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.017272 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.1435585513271557 / 0.1435585513271557 = 1.0
field decay(t = 100.01): 5.780725980413138e-11 / 0.1435585513271557 = 4.0267374719040156e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 1.2074072828613354, 0.8, 75.0, 0.002279010064127535
refl:, 1.2074072828613354, 0.784, 71.19254305121969, 0.004052585814133056
refl:, 1.2074072828613354, 0.7686274509803922, 68.13230108184366, 0.017669454881364767
refl:, 1.2074072828613354, 0.7538461538461539, 65.5329128763873, 0.03336169435169541
refl:, 1.2074072828613354, 0.739622641509434, 63.25596068464814, 0.048654509225169895
refl:, 1.2074072828613354, 0.7259259259259259, 61.22160180379117, 0.06275216167717797
refl:, 1.2074072828613354, 0.7127272727272727, 59.378629248099124, 0.07576309243511313
refl:, 1.2074072828613354, 0.7, 57.691773022139905, 0.08758135787027703
refl:, 1.2074072828613354, 0.6877192982456141, 56.13545775731428, 0.098248929360899
refl:, 1.2074072828613354, 0.6758620689655173, 54.69040263962552, 0.10794664183105998
refl:, 1.2074072828613354, 0.664406779661017, 53.3416232015308, 0.11670121483117171
refl:, 1.2074072828613354, 0.6533333333333333, 52.0771858356392, 0.12465585169755833
refl:, 1.2074072828613354, 0.6426229508196721, 50.88739414232009, 0.13187389976516842
refl:, 1.2074072828613354, 0.632258064516129, 49.76423655717566, 0.13846172295217293
refl:, 1.2074072828613354, 0.6222222222222222, 48.70099913863975, 0.14446173011718028
refl:, 1.2074072828613354, 0.6124999999999999, 47.69198665804526, 0.14995965765204525
refl:, 1.2074072828613354, 0.6030769230769231, 46.73231696062462, 0.1549825384470223
refl:, 1.2074072828613354, 0.593939393939394, 45.817766249324485, 0.15958402411708034
refl:, 1.2074072828613354, 0.5850746268656717, 44.94465059915575, 0.16380217089082738
refl:, 1.2074072828613354, 0.5764705882352942, 44.109733785683, 0.1676654538139623
refl:, 1.2074072828613354, 0.5681159420289855, 43.31015457776125, 0.17121662693717593
refl:, 1.2074072828613354, 0.56, 42.543368664412704, 0.1744741445938872
refl:, 1.2074072828613354, 0.552112676056338, 41.80710174663229, 0.17746630440999525
refl:, 1.2074072828613354, 0.5444444444444444, 41.099311260706344, 0.1802095438402015
refl:, 1.2074072828613354, 0.536986301369863, 40.418154855029364, 0.18272173169827843
refl:, 1.2074072828613354, 0.5297297297297298, 39.76196420912173, 0.18502119081455226
refl:, 1.2074072828613354, 0.5226666666666667, 39.12922312098109, 0.1871223337651491
refl:, 1.2074072828613354, 0.5157894736842105, 38.51854903626071, 0.18904214560856375
refl:, 1.2074072828613354, 0.509090909090909, 37.928677376424204, 0.190789263829168
refl:, 1.2074072828613354, 0.5025641025641026, 37.35844816099257, 0.192373003931677
refl:, 1.2074072828613354, 0.4962025316455696, 36.806794523773725, 0.19380521484150348
refl:, 1.2074072828613354, 0.49, 36.272732803336254, 0.19509368153538312
refl:, 1.2074072828613354, 0.4839506172839506, 35.755353950220794, 0.19624859910356954
refl:, 1.2074072828613354, 0.47804878048780486, 35.253816041990945, 0.19727952544337504
refl:, 1.2074072828613354, 0.47228915662650606, 34.76733773550362, 0.19818701041137332
refl:, 1.2074072828613354, 0.4666666666666667, 34.295192516152845, 0.19897646054575882
refl:, 1.2074072828613354, 0.4611764705882353, 33.83670362811667, 0.19965889435875267
refl:, 1.2074072828613354, 0.4558139534883721, 33.391239589169516, 0.20023796589376308
refl:, 1.2074072828613354, 0.4505747126436782, 32.95821020943854, 0.20072106469864034
refl:, 1.2074072828613354, 0.4454545454545454, 32.537063046367535, 0.2011073384968122
refl:, 1.2074072828613354, 0.44044943820224725, 32.12728023870626, 0.2013932866552523
refl:, 1.2074072828613354, 0.43555555555555553, 31.728375671037586, 0.20159478768644698
refl:, 1.2074072828613354, 0.4307692307692308, 31.33989242755132, 0.20171671281423958
refl:, 1.2074072828613354, 0.4260869565217391, 30.96140049976025, 0.20176796051792995
refl:, 1.2074072828613354, 0.421505376344086, 30.592494717856905, 0.20173546160628877
refl:, 1.2074072828613354, 0.41702127659574467, 30.23279287960783, 0.2015919333831556
refl:, 1.2074072828613354, 0.4126315789473684, 29.88193405422147, 0.20140043913698885
refl:, 1.2074072828613354, 0.4083333333333333, 29.539577041619506, 0.20116952947891878
refl:, 1.2074072828613354, 0.4041237113402062, 29.2053989700849, 0.2008832766544487
refl:, 1.2074072828613354, 0.4, 28.879094017427605, 0.200502480384686
-----------
Initializing structure...
time for choose_chunkdivision = 0.000110865 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
time for set_epsilon = 0.00754905 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.1392134275610875 / 0.1392134275610875 = 1.0
field decay(t = 100.01): 1.3144200424788948e-11 / 0.1392134275610875 = 9.441761944278838e-11
run 0 finished at t = 100.01 (10001 timesteps)
-----------
Initializing structure...
time for choose_chunkdivision = 0.000108957 s
Working in 3D dimensions.
Computational cell is 0.02 x 0.02 x 12 with resolution 50
block, center = (0,0,3)
size (1e+20,1e+20,6)
axes (1,0,0), (0,1,0), (0,0,1)
dielectric constant epsilon diagonal = (12.25,12.25,12.25)
time for set_epsilon = 0.019413 s
-----------
Meep: using complex fields.
field decay(t = 50.01): 0.13921342793500532 / 0.13921342793500532 = 1.0
field decay(t = 100.01): 9.871965144118156e-11 / 0.13921342793500532 = 7.091244925544889e-10
run 0 finished at t = 100.01 (10001 timesteps)
refl:, 1.23100969126526, 0.8, 79.99999999999994, 0.028667884842985224
refl:, 1.23100969126526, 0.784, 74.82079670263325, 0.0021347453734021486
refl:, 1.23100969126526, 0.7686274509803922, 71.11813585396203, 0.0041164349187047915
refl:, 1.23100969126526, 0.7538461538461539, 68.12392493650243, 0.017504855468406976
refl:, 1.23100969126526, 0.739622641509434, 65.57213417097068, 0.03282494395652445
refl:, 1.23100969126526, 0.7259259259259259, 63.331955818023665, 0.04792423816150501
refl:, 1.23100969126526, 0.7127272727272727, 61.32721657609733, 0.06193140028783135
refl:, 1.23100969126526, 0.7, 59.508764013939604, 0.07458578833476998
refl:, 1.23100969126526, 0.6877192982456141, 57.84259890532987, 0.08617897772571746
refl:, 1.23100969126526, 0.6758620689655173, 56.30398980710504, 0.0966374263474978
refl:, 1.23100969126526, 0.664406779661017, 54.87424701948212, 0.10612404031633497
refl:, 1.23100969126526, 0.6533333333333333, 53.53881754577338, 0.1147736073308378
refl:, 1.23100969126526, 0.6426229508196721, 52.2860932123638, 0.12261878935484406
refl:, 1.23100969126526, 0.632258064516129, 51.10662968356778, 0.1297955968814688
refl:, 1.23100969126526, 0.6222222222222222, 49.992614952243095, 0.1363423963503902
refl:, 1.23100969126526, 0.6124999999999999, 48.937495982303304, 0.14232561295216176
refl:, 1.23100969126526, 0.6030769230769231, 47.93570930843333, 0.1477973393651342
refl:, 1.23100969126526, 0.593939393939394, 46.98248211140486, 0.1527979150330299
refl:, 1.23100969126526, 0.5850746268656717, 46.07368235996428, 0.15737616810594365
refl:, 1.23100969126526, 0.5764705882352942, 45.205703916101704, 0.16157175886307418
refl:, 1.23100969126526, 0.5681159420289855, 44.37537706820699, 0.16542702710683707
refl:, 1.23100969126526, 0.56, 43.57989789517631, 0.16896483740231436
refl:, 1.23100969126526, 0.552112676056338, 42.81677180338089, 0.17222042834178233
refl:, 1.23100969126526, 0.5444444444444444, 42.083767886770914, 0.17520079945615433
refl:, 1.23100969126526, 0.536986301369863, 41.378881661291835, 0.1779352569426369
refl:, 1.23100969126526, 0.5297297297297298, 40.70030435652892, 0.18044129732794095
refl:, 1.23100969126526, 0.5226666666666667, 40.046397397863686, 0.182734107792854
refl:, 1.23100969126526, 0.5157894736842105, 39.41567103836258, 0.18483861166276766
refl:, 1.23100969126526, 0.509090909090909, 38.806766338771496, 0.18675601688212784
refl:, 1.23100969126526, 0.5025641025641026, 38.218439871701385, 0.1884996414001091
refl:, 1.23100969126526, 0.4962025316455696, 37.64955065969264, 0.19008080645459632
refl:, 1.23100969126526, 0.49, 37.099048958377544, 0.1915079168724047
refl:, 1.23100969126526, 0.4839506172839506, 36.56596657389412, 0.19279885897563126
refl:, 1.23100969126526, 0.47804878048780486, 36.049408464086156, 0.19395530230339666
refl:, 1.23100969126526, 0.47228915662650606, 35.54854542021205, 0.19498186511670068
refl:, 1.23100969126526, 0.4666666666666667, 35.062607663064846, 0.19588322966927102
refl:, 1.23100969126526, 0.4611764705882353, 34.59087921692149, 0.19666472127374038
refl:, 1.23100969126526, 0.4558139534883721, 34.13269294834013, 0.19734835806450404
refl:, 1.23100969126526, 0.4505747126436782, 33.6874261758209, 0.197930496667696
refl:, 1.23100969126526, 0.4454545454545454, 33.25449677173539, 0.19840503576945626
refl:, 1.23100969126526, 0.44044943820224725, 32.83335969046958, 0.19877805012361263
refl:, 1.23100969126526, 0.43555555555555553, 32.42350386700291, 0.19904737688450852
refl:, 1.23100969126526, 0.4307692307692308, 32.0244494386133, 0.19925404758581897
refl:, 1.23100969126526, 0.4260869565217391, 31.63574524940934, 0.1993954429097289
refl:, 1.23100969126526, 0.421505376344086, 31.2569666032255, 0.19942422718572894
refl:, 1.23100969126526, 0.41702127659574467, 30.887713235292672, 0.1993498431053417
refl:, 1.23100969126526, 0.4126315789473684, 30.527607477190394, 0.19917542826890433
refl:, 1.23100969126526, 0.4083333333333333, 30.176292593038497, 0.19903411145233238
refl:, 1.23100969126526, 0.4041237113402062, 29.83343126780691, 0.19890224385206828
refl:, 1.23100969126526, 0.4, 29.498704231103652, 0.1984945592268268


Two-dimensional plots of the angular reflectance spectrum based on the simulated data and the analytic Fresnel equations are generated using the script below. The plots are shown in the accompanying figure with four insets. The top left inset shows the simulated and analytic reflectance spectra at a wavelength of 0.6 μm. The top right inset shows the simulated reflectance spectrum as a function of the source wavelength λ and Bloch-periodic wavevector $k_x$: $R(\lambda, k_x)$. The lower left inset is a transformation of $R(\lambda, k_x)$ into $R(\lambda, \theta)$. Note how the range of angles depends on the wavelength. For a particular angle, the reflectance is a constant for all wavelengths due to the dispersionless dielectric. The lower right inset is the analytic reflectance spectrum computed using the Fresnel equations. There is agreement between the simulated and analytic results. The Brewster's angle, where the transmittance is 1 and the reflectance is 0, is tan-1(3.5/1)=74.1°. This is also verified by the simulated results.

In order to generate results for the missing portion of the reflectance spectrum (i.e., the white region), we will need to rerun the simulations for different wavelength spectra.

In [3]:
plt.figure(dpi=200)
plt.pcolormesh(kxs, wvls, Rmeep, cmap='inferno', shading='gouraud', vmin=0, vmax=Rmeep.max())
plt.axis([kxs[0,0], kxs[0,-1], wvl_min, wvl_max])
plt.yticks([t for t in np.linspace(0.4,0.8,5)])
plt.xlabel(r"Bloch-periodic wavevector (k$_x$/2π)")
plt.ylabel("wavelength (μm)")
plt.title("reflectance (meep)")
cbar = plt.colorbar()
cbar.set_ticks([t for t in np.linspace(0,0.4,5)])
cbar.set_ticklabels(["{:.1f}".format(t) for t in np.linspace(0,0.4,5)])

In [4]:
plt.figure(dpi=200)
plt.pcolormesh(thetas, wvls, Rmeep, cmap='inferno', shading='gouraud', vmin=0, vmax=Rmeep.max())
plt.axis([thetas.min(), thetas.max(), wvl_min, wvl_max])
plt.xticks([t for t in range(0,100,20)])
plt.yticks([t for t in np.linspace(0.4,0.8,5)])
plt.xlabel("angle of incident planewave (degrees)")
plt.ylabel("wavelength (μm)")
plt.title("reflectance (meep)")
cbar = plt.colorbar()
cbar.set_ticks([t for t in np.linspace(0,0.4,5)])
cbar.set_ticklabels(["{:.1f}".format(t) for t in np.linspace(0,0.4,5)])

In [5]:
n1=1
n2=3.5

# compute angle of refracted planewave in medium n2
# for incident planewave in medium n1 at angle theta_in
theta_out = lambda theta_in: math.asin(n1*math.sin(theta_in)/n2)

# compute Fresnel reflectance for P-polarization in medium n2
# for incident planewave in medium n1 at angle theta_in
Rfresnel = lambda theta_in: math.fabs((n1*math.cos(theta_out(theta_in))-n2*math.cos(theta_in))/(n1*math.cos(theta_out(theta_in))+n2*math.cos(theta_in)))**2

Ranalytic = np.empty((nfreq, theta_in.size))
for m in range(wvl.size):
for n in range(theta_in.size):