1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
|
# -*- coding: utf-8 -*-
import meep as mp
from meep.materials import fused_quartz
import numpy as np
import math
import matplotlib.pyplot as plt
resolution = 200 # pixels/μm
dpml = 1.0
sz = 10+2*dpml
cell_size = mp.Vector3(z=sz)
pml_layers = [mp.PML(dpml)]
wvl_min = 0.4
wvl_max = 0.8
fmin = 1/wvl_max
fmax = 1/wvl_min
fcen = 0.5*(fmax+fmin)
df = fmax-fmin
nfreq = 50
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,
dimensions=1,
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(), 1e-9))
empty_flux = mp.get_fluxes(refl)
empty_data = sim.get_flux_data(refl)
sim.reset_meep()
geometry = [mp.Block(mp.Vector3(mp.inf,mp.inf,0.5*sz), center=mp.Vector3(z=0.25*sz), material=fused_quartz)]
sim = mp.Simulation(cell_size=cell_size,
boundary_layers=pml_layers,
geometry=geometry,
sources=sources,
dimensions=1,
resolution=resolution)
refl = sim.add_flux(fcen, df, nfreq, refl_fr)
sim.load_minus_flux_data(refl, empty_data)
sim.run(until_after_sources=mp.stop_when_fields_decayed(50, mp.Ex, mp.Vector3(), 1e-9))
refl_flux = mp.get_fluxes(refl)
R_meep = -1*np.divide(refl_flux,empty_flux)
freqs = mp.get_flux_freqs(refl)
wvls = np.divide(1,freqs)
eps_quartz = lambda l: 1+0.6961663*math.pow(l,2)/(pow(l,2)-pow(0.0684043,2))+0.4079426*pow(l,2)/(pow(l,2)-pow(0.1162414,2))+0.8974794*pow(l,2)/(pow(l,2)-pow(9.896161,2))
R_fresnel = lambda l: math.pow(math.fabs(1-math.sqrt(eps_quartz(l)))/(1+math.sqrt(eps_quartz(l))),2)
R_analytic = [R_fresnel(i) for i in wvls]
plt.figure()
plt.plot(wvls,R_meep,'bo-',label='meep')
plt.plot(wvls,R_analytic,'rs-',label='analytic')
plt.xlabel("wavelength (μm)")
plt.ylabel("reflectance")
plt.axis([0.4, 0.8, 0.0340, 0.0365])
plt.xticks([t for t in np.arange(0.4,0.9,0.1)])
plt.legend(loc='upper right')
plt.show()
|
