mp.Block(center=mp.Vector3(y=Sy / 4),
material=Si,
size=mp.Vector3(0.5, Sy / 2, 0)), # vertical waveguide
mp.Block(center=design_region.center,
size=design_region.size,
material=design_variables), # design region
mp.Block(center=design_region.center,
size=design_region.size,
material=design_variables,
e1=mp.Vector3(x=-1).rotate(mp.Vector3(z=1), np.pi / 2),
e2=mp.Vector3(y=1).rotate(mp.Vector3(z=1), np.pi / 2))
]
sim = mp.Simulation(cell_size=cell_size,
boundary_layers=pml_layers,
geometry=geometry,
sources=source,
eps_averaging=False,
resolution=resolution)
TE_top = mpa.EigenmodeCoefficient(sim,
mp.Volume(center=mp.Vector3(0, 1, 0),
size=mp.Vector3(x=2)),
mode=1)
ob_list = [TE_top]
def J(alpha):
return npa.abs(alpha)**2
opt = mpa.OptimizationProblem(simulation=sim,
def __init__(self, dir_name, wavelength, thy_absorb, cyt_absorb):
self.base_directory = base_directory + str(dir_name)
self.wavelength = wavelength
self.thy_absorb = thy_absorb
self.cyt_absorb = cyt_absorb
self.frequency = 1 / wavelength
# Calculate wavelengths dependent on RI
self.wavelength_in_media = wavelength / ri_media
self.wavelength_in_cytoplasm = wavelength / ri_cytoplasm
self.wavelength_in_thylakoid = wavelength / ri_thylakoid
max_freq = self.frequency - 0.01
min_freq = self.frequency + 0.01
self.pulse_width = abs(max_freq - min_freq)
cell = mp.Vector3(sxx, sxy, sxz)
pml_layers = [mp.PML(dpml)]
thylakoid_material = mp.Medium(index=ri_thylakoid,
D_conductivity=2 * math.pi *
self.frequency * (thy_absorb /
(ri_thylakoid**2)))
cytoplasm_material = mp.Medium(index=ri_cytoplasm,
D_conductivity=2 * math.pi *
self.frequency * (cyt_absorb /
(ri_cytoplasm**2)))
thylakoid_region = mp.Sphere(radius=cell_radius,
center=mp.Vector3(0, 0, 0),
material=thylakoid_material)
cytoplasm_region = mp.Sphere(radius=cell_radius - thylakoid_thickness,
center=mp.Vector3(0, 0, 0),
material=cytoplasm_material)
geometry = [thylakoid_region, cytoplasm_region]
# Sources
kdir = mp.Vector3(1, 0, 0) # direction of k (length is irrelevant)
n = ri_media # refractive index of material containing the source
k = kdir.unit().scale(2 * math.pi * self.frequency *
n) # k with correct length
def pw_amp(k, x0):
def _pw_amp(x):
return cmath.exp(1j * k.dot(x + x0))
return _pw_amp
source = [
mp.Source(
mp.ContinuousSource(frequency=self.frequency,
fwidth=self.pulse_width), # along x axis
component=mp.Ez,
center=mp.Vector3(-0.5 * simulation_size, 0, 0), # x, ,y ,z
size=mp.Vector3(0, sxy, sxz),
amp_func=pw_amp(k, mp.Vector3(x=-0.5 * simulation_size)))
]
sim = mp.Simulation(
cell_size=cell,
sources=source,
boundary_layers=pml_layers,
resolution=resolution,
geometry=geometry,
default_material=mp.Medium(index=ri_media),
force_complex_fields=complex_f,
eps_averaging=eps_av,
)
def output_fields(sim):
ez_output = open(base_directory + "Ez Field 650 HiAbs" + ".npy",
'wb')
ez_array = sim.get_array(component=mp.Ez, cmplx=complex_f)
ez_field_output = np.asarray(ez_array)
np.save(ez_output, ez_field_output)
ez_output.close()
# ey_output = open(base_directory + "Ey Field 300 Std" + ".npy", 'wb')
# ey_array = sim.get_array(component=mp.Ey, cmplx=complex_f)
# ey_field_output = np.asarray(ey_array)
# np.save(ey_output, ey_field_output)
# ey_output.close()
#
# ex_output = open(base_directory + "Ex Field 300 std abs" + ".npy", 'wb')
# ex_array = sim.get_array(component=mp.Ex, cmplx=complex_f)
# ex_field_output = np.asarray(ex_array)
# np.save(ex_output, ex_field_output)
# ex_output.close()
# eps_output = open(base_directory + "Refractive Index" + ".npy", 'wb')
# eps_array = sim.get_array(component=mp.Dielectric, cmplx=complex_f)
# np.save(eps_output, eps_array)
# eps_output.close()
sim.use_output_directory(self.base_directory)
sim.run(mp.at_every(1, output_fields), until=t)
component=comp,
center=mp.Vector3(-sizex / 2, 0))
]
# Absorber on grating side because of field divergence at metal/pml interface
pml_layers = [
mp.PML(pml_th, direction=mp.X),
mp.Absorber(pml_th, direction=mp.Y)
]
# empty cell for reference run
geometry = []
sim = mp.Simulation(cell_size=cell,
boundary_layers=pml_layers,
geometry=geometry,
sources=sources,
resolution=resolution,
filename_prefix="data",
split_chunks_evenly=False)
# define monitors for further spectra calculation
mon_height = sizey
nfreq = 200
mon_skip = sizex / 20 # small skip from PML layers
refl_fr = mp.FluxRegion(center=mp.Vector3(-sizex / 2 + mon_skip, 0, 0),
size=mp.Vector3(0, mon_height, 0))
# flux region FFT region
refl = sim.add_flux(cfreq, fwidth, nfreq, refl_fr)
tran_fr = mp.FluxRegion(center=mp.Vector3(sizex / 2 - mon_skip, 0, 0),
size=mp.Vector3(0, mon_height, 0))
# create a transparent source that excites a right-going waveguide mode
modeNumber = 2
sources = [
mp.EigenModeSource(src=mp.ContinuousSource(1/1.55), direction=mp.X,
center=mp.Vector3(),eig_band=modeNumber)
]
force_complex_fields = True # so we can get time-average flux
resolution = 20
sim = mp.Simulation(
cell_size=cell,
geometry=geometry,
sources=sources,
boundary_layers=pml_layers,
force_complex_fields=force_complex_fields,
resolution=resolution
)
sim.run(
mp.at_beginning(mp.output_epsilon),
mp.at_end(mp.output_png(mp.Ex, "-a yarg -A $EPS -S3 -Zc dkbluered", rm_h5=False)),
until=200
)
flux1 = sim.flux_in_box(mp.X, mp.Volume(center=mp.Vector3(-2.0), size=mp.Vector3(1.8, 6)))
flux2 = sim.flux_in_box(mp.X, mp.Volume(center=mp.Vector3(2.0), size=mp.Vector3(1.8, 6)))
# averaged over y region of width 1.8
print("left-going flux = {}".format(flux1 / -1.8))
def simulate_metalens(metalens):
# Setup the MEEP objects
cell = mp.Vector3(metalens['sim_cell_width'], metalens['sim_cell_height'])
# All around the simulation cell
pml_layers = [mp.PML(metalens['pml_width'])]
# Set up the sources
sources = [
mp.Source(src=mp.ContinuousSource(wavelength=metalens['wavelength'],
width=metalens['source_width']),
component=mp.Ex,
amp_func=in_plane_dip_amp_func_Ex(metalens),
center=mp.Vector3(0, metalens['source_coord']),
size=mp.Vector3(2 * metalens['ws'], 0)),
mp.Source(src=mp.ContinuousSource(wavelength=metalens['wavelength'],
width=metalens['source_width']),
component=mp.Hz,
amp_func=in_plane_dip_amp_func_Hz(metalens),
center=mp.Vector3(0, metalens['source_coord']),
size=mp.Vector3(2 * metalens['ws'], 0))
]
# Set up the symmetries
syms = []
if metalens['x_mirror_symmetry'] and (metalens['beta'] == 0
or metalens['beta'] == np.pi / 2):
syms.append(mp.Mirror(mp.X))
sim = mp.Simulation(cell_size=cell,
boundary_layers=pml_layers,
geometry=metalens['geometry'],
force_complex_fields=metalens['complex_fields'],
symmetries=syms,
sources=sources,
resolution=metalens['resolution'])
start_time = time.time()
metalens['run_date'] = (
datetime.datetime.now().strftime("%b %d %Y at %H:%M:%S"))
mp.quiet(metalens['quiet'])
sim.init_sim()
# Branch if saving for making an animation
if metalens['save_output']:
sim.run(mp.to_appended(
"ez-{sim_id}".format(**metalens),
mp.at_every(metalens['simulation_time'] / 1000.,
mp.output_efield_z)),
until=metalens['simulation_time'])
else:
sim.run(until=metalens['simulation_time'])
# Compute the clock run time and grab the fields
metalens['array_metadata'] = sim.get_array_metadata()
metalens['run_time_in_s'] = time.time() - start_time
metalens['fields'] = {
'Ex': sim.get_array(component=mp.Ex).transpose(),
'Ey': sim.get_array(component=mp.Ey).transpose(),
'Hz': sim.get_array(component=mp.Hz).transpose()
}
metalens['eps'] = sim.get_epsilon().transpose()
# Dump the result to disk
if metalens['log_to_pkl'][0]:
if metalens['log_to_pkl'][1] == '':
pkl_fname = '%smetalens-%s.pkl' % (datadir, metalens['sim_id'])
else:
pkl_fname = metalens['log_to_pkl'][1]
print(pkl_fname)
pickle.dump(metalens, open(pkl_fname, 'wb'))
return metalens
def init(self, no_bend=False, gdsii=False):
sx = 16
sy = 32
cell = mp.Vector3(sx, sy, 0)
pad = 4
w = 1
wvg_ycen = -0.5 * (sy - w - (2 * pad))
wvg_xcen = 0.5 * (sx - w - (2 * pad))
height = 100
data_dir = os.path.join(os.path.dirname(os.path.realpath(__file__)),
'data')
gdsii_file = os.path.join(data_dir, 'bend-flux.gds')
if no_bend:
if gdsii:
geometry = mp.get_GDSII_prisms(mp.Medium(epsilon=12),
gdsii_file, 1)
else:
no_bend_vertices = [
mp.Vector3(-0.5 * sx - 5, wvg_ycen - 0.5 * w),
mp.Vector3(+0.5 * sx + 5, wvg_ycen - 0.5 * w),
mp.Vector3(+0.5 * sx + 5, wvg_ycen + 0.5 * w),
mp.Vector3(-0.5 * sx - 5, wvg_ycen + 0.5 * w)
]
geometry = [
mp.Prism(no_bend_vertices,
height,
material=mp.Medium(epsilon=12))
]
else:
if gdsii:
geometry = mp.get_GDSII_prisms(mp.Medium(epsilon=12),
gdsii_file, 2)
else:
bend_vertices = [
mp.Vector3(-0.5 * sx, wvg_ycen - 0.5 * w),
mp.Vector3(wvg_xcen + 0.5 * w, wvg_ycen - 0.5 * w),
mp.Vector3(wvg_xcen + 0.5 * w, 0.5 * sy),
mp.Vector3(wvg_xcen - 0.5 * w, 0.5 * sy),
mp.Vector3(wvg_xcen - 0.5 * w, wvg_ycen + 0.5 * w),
mp.Vector3(-0.5 * sx, wvg_ycen + 0.5 * w)
]
geometry = [
mp.Prism(bend_vertices,
height,
material=mp.Medium(epsilon=12))
]
fcen = 0.15
df = 0.1
sources = [
mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Ez,
center=mp.Vector3(1 + (-0.5 * sx), wvg_ycen),
size=mp.Vector3(0, w))
]
pml_layers = [mp.PML(1.0)]
resolution = 10
nfreq = 100
self.sim = mp.Simulation(cell_size=cell,
boundary_layers=pml_layers,
geometry=geometry,
sources=sources,
resolution=resolution)
if no_bend:
fr = mp.FluxRegion(center=mp.Vector3((sx / 2) - 1.5, wvg_ycen),
size=mp.Vector3(0, w * 2))
else:
fr = mp.FluxRegion(center=mp.Vector3(wvg_xcen, (sy / 2) - 1.5),
size=mp.Vector3(w * 2, 0))
self.trans = self.sim.add_flux(fcen, df, nfreq, fr)
refl_fr = mp.FluxRegion(center=mp.Vector3((-0.5 * sx) + 1.5, wvg_ycen),
size=mp.Vector3(0, w * 2))
self.refl = self.sim.add_flux(fcen, df, nfreq, refl_fr)
if no_bend:
self.pt = mp.Vector3((sx / 2) - 1.5, wvg_ycen)
else:
self.pt = mp.Vector3(wvg_xcen, (sy / 2) - 1.5)
material=mp.Medium(epsilon=12))
]
fcen = 0.15
df = 0.1
sources = [
mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Ez,
center=mp.Vector3(-0.5 * sx + dpml, wvg_ycen, 0),
size=mp.Vector3(0, w, 0))
]
sim = mp.Simulation(cell_size=cell,
boundary_layers=pml_layers,
geometry=geometry,
sources=sources,
resolution=resolution)
nfreq = 100
# reflected flux
refl_fr = mp.FluxRegion(center=mp.Vector3(-0.5 * sx + dpml + 0.5, wvg_ycen, 0),
size=mp.Vector3(0, 2 * w, 0))
refl = sim.add_flux(fcen, df, nfreq, refl_fr)
# transmitted flux
tran_fr = mp.FluxRegion(center=mp.Vector3(0.5 * sx - dpml, wvg_ycen, 0),
size=mp.Vector3(0, 2 * w, 0))
tran = sim.add_flux(fcen, df, nfreq, tran_fr)
def parallel_waveguide(s, xodd):
geometry = [
mp.Block(center=mp.Vector3(-0.5 * (s + a)),
size=mp.Vector3(a, a, mp.inf),
material=Si),
mp.Block(center=mp.Vector3(0.5 * (s + a)),
size=mp.Vector3(a, a, mp.inf),
material=Si)
]
symmetries = [
mp.Mirror(mp.X, phase=-1.0 if xodd else 1.0),
mp.Mirror(mp.Y, phase=-1.0)
]
sources = [
mp.Source(src=mp.GaussianSource(fcen, fwidth=df),
component=mp.Ey,
center=mp.Vector3(-0.5 * (s + a)),
size=mp.Vector3(a, a)),
mp.Source(src=mp.GaussianSource(fcen, fwidth=df),
component=mp.Ey,
center=mp.Vector3(0.5 * (s + a)),
size=mp.Vector3(a, a),
amplitude=-1.0 if xodd else 1.0)
]
sim = mp.Simulation(resolution=resolution,
cell_size=cell,
boundary_layers=pml_layers,
geometry=geometry,
symmetries=symmetries,
k_point=k_point,
sources=sources)
h = mp.Harminv(mp.Ey, mp.Vector3(0.5 * (s + a)), fcen, df)
sim.run(mp.after_sources(h), until_after_sources=200)
f = h.modes[0].freq
print("freq:, {}, {}".format(s, f))
sim.reset_meep()
eig_sources = [
mp.EigenModeSource(src=mp.GaussianSource(f, fwidth=df),
size=mp.Vector3(a, a),
center=mp.Vector3(-0.5 * (s + a)),
direction=mp.Z,
eig_kpoint=k_point,
eig_match_freq=True,
eig_parity=mp.ODD_Y),
mp.EigenModeSource(src=mp.GaussianSource(f, fwidth=df),
size=mp.Vector3(a, a),
center=mp.Vector3(0.5 * (s + a)),
direction=mp.Z,
eig_kpoint=k_point,
eig_match_freq=True,
eig_parity=mp.ODD_Y,
amplitude=-1.0 if xodd else 1.0)
]
sim.change_sources(eig_sources)
flux_reg = mp.FluxRegion(direction=mp.Z,
center=mp.Vector3(),
size=mp.Vector3(1.2 * (2 * a + s), 1.2 * a))
wvg_flux = sim.add_flux(f, 0, 1, flux_reg)
force_reg1 = mp.ForceRegion(mp.Vector3(0.5 * s),
direction=mp.X,
weight=1.0,
size=mp.Vector3(y=a))
force_reg2 = mp.ForceRegion(mp.Vector3(0.5 * s + a),
direction=mp.X,
weight=-1.0,
size=mp.Vector3(y=a))
wvg_force = sim.add_force(f, 0, 1, force_reg1, force_reg2)
sim.run(until_after_sources=500)
flux = mp.get_fluxes(wvg_flux)[0]
force = mp.get_forces(wvg_force)[0]
sim.reset_meep()
return flux, force
def run_mode_coeffs(self, mode_num, kpoint_func):
resolution = 15
w = 1 # width of waveguide
L = 10 # length of waveguide
Si = mp.Medium(epsilon=12.0)
dair = 3.0
dpml = 3.0
sx = dpml + L + dpml
sy = dpml + dair + w + dair + dpml
cell_size = mp.Vector3(sx, sy, 0)
prism_x = sx + 1
prism_y = w / 2
vertices = [
mp.Vector3(-prism_x, prism_y),
mp.Vector3(prism_x, prism_y),
mp.Vector3(prism_x, -prism_y),
mp.Vector3(-prism_x, -prism_y)
]
geometry = [mp.Prism(vertices, height=mp.inf, material=Si)]
boundary_layers = [mp.PML(dpml)]
# mode frequency
fcen = 0.20 # > 0.5/sqrt(11) to have at least 2 modes
sources = [
mp.EigenModeSource(src=mp.GaussianSource(fcen, fwidth=0.5 * fcen),
eig_band=mode_num,
size=mp.Vector3(0, sy - 2 * dpml, 0),
center=mp.Vector3(-0.5 * sx + dpml, 0, 0),
eig_match_freq=True,
eig_resolution=32)
]
sim = mp.Simulation(
resolution=resolution,
cell_size=cell_size,
boundary_layers=boundary_layers,
geometry=geometry,
sources=sources,
symmetries=[mp.Mirror(mp.Y, phase=1 if mode_num % 2 == 1 else -1)])
xm = 0.5 * sx - dpml # x-coordinate of monitor
mflux = sim.add_mode_monitor(
fcen, 0, 1,
mp.ModeRegion(center=mp.Vector3(xm, 0),
size=mp.Vector3(0, sy - 2 * dpml)))
mode_flux = sim.add_flux(
fcen, 0, 1,
mp.FluxRegion(center=mp.Vector3(xm, 0),
size=mp.Vector3(0, sy - 2 * dpml)))
# sim.run(until_after_sources=mp.stop_when_fields_decayed(50, mp.Ez, mp.Vector3(-0.5*sx+dpml,0), 1e-10))
sim.run(until_after_sources=100)
modes_to_check = [
1, 2
] # indices of modes for which to compute expansion coefficients
res = sim.get_eigenmode_coefficients(mflux,
modes_to_check,
kpoint_func=kpoint_func)
self.assertTrue(res.kpoints[0].close(mp.Vector3(0.604301, 0, 0)))
self.assertTrue(res.kpoints[1].close(mp.Vector3(0.494353, 0, 0),
tol=1e-2))
self.assertTrue(res.kdom[0].close(mp.Vector3(0.604301, 0, 0)))
self.assertTrue(res.kdom[1].close(mp.Vector3(0.494353, 0, 0),
tol=1e-2))
mode_power = mp.get_fluxes(mode_flux)[0]
TestPassed = True
TOLERANCE = 5.0e-3
c0 = res.alpha[
mode_num - 1, 0,
0] # coefficient of forward-traveling wave for mode #mode_num
for nm in range(1, len(modes_to_check) + 1):
if nm != mode_num:
cfrel = np.abs(res.alpha[nm - 1, 0, 0]) / np.abs(c0)
cbrel = np.abs(res.alpha[nm - 1, 0, 1]) / np.abs(c0)
if cfrel > TOLERANCE or cbrel > TOLERANCE:
TestPassed = False
self.sim = sim
# test 1: coefficient of excited mode >> coeffs of all other modes
self.assertTrue(TestPassed,
msg="cfrel: {}, cbrel: {}".format(cfrel, cbrel))
# test 2: |mode coeff|^2 = power
self.assertAlmostEqual(mode_power / abs(c0**2), 1.0, places=1)
return res
def main(args):
d = args.d
cell_thickness = dpml + t_oxide + t_Si + t_air + dpml
cell_zmax = 0.5 * cell_thickness if args.three_d else 0
cell_zmin = -0.5 * cell_thickness if args.three_d else 0
si_zmin = 0
si_zmax = t_Si if args.three_d else 0
# read cell size, volumes for source region and flux monitors,
# and coupler geometry from GDSII file
upper_branch = mp.get_GDSII_prisms(silicon, gdsII_file, UPPER_BRANCH_LAYER,
si_zmin, si_zmax)
lower_branch = mp.get_GDSII_prisms(silicon, gdsII_file, LOWER_BRANCH_LAYER,
si_zmin, si_zmax)
cell = mp.GDSII_vol(gdsII_file, CELL_LAYER, cell_zmin, cell_zmax)
p1 = mp.GDSII_vol(gdsII_file, PORT1_LAYER, si_zmin, si_zmax)
p2 = mp.GDSII_vol(gdsII_file, PORT2_LAYER, si_zmin, si_zmax)
p3 = mp.GDSII_vol(gdsII_file, PORT3_LAYER, si_zmin, si_zmax)
p4 = mp.GDSII_vol(gdsII_file, PORT4_LAYER, si_zmin, si_zmax)
src_vol = mp.GDSII_vol(gdsII_file, SOURCE_LAYER, si_zmin, si_zmax)
# displace upper and lower branches of coupler (as well as source and flux regions)
if d != default_d:
delta_y = 0.5 * (d - default_d)
delta = mp.Vector3(y=delta_y)
p1.center += delta
p2.center -= delta
p3.center += delta
p4.center -= delta
src_vol.center += delta
cell.size += 2 * delta
for np in range(len(lower_branch)):
lower_branch[np].center -= delta
for nv in range(len(lower_branch[np].vertices)):
lower_branch[np].vertices[nv] -= delta
for np in range(len(upper_branch)):
upper_branch[np].center += delta
for nv in range(len(upper_branch[np].vertices)):
upper_branch[np].vertices[nv] += delta
geometry = upper_branch + lower_branch
if args.three_d:
oxide_center = mp.Vector3(z=-0.5 * t_oxide)
oxide_size = mp.Vector3(cell.size.x, cell.size.y, t_oxide)
oxide_layer = [
mp.Block(material=oxide, center=oxide_center, size=oxide_size)
]
geometry = geometry + oxide_layer
sources = [
mp.EigenModeSource(src=mp.GaussianSource(fcen, fwidth=df),
size=src_vol.size,
center=src_vol.center,
eig_match_freq=True)
]
sim = mp.Simulation(resolution=resolution,
cell_size=cell.size,
boundary_layers=[mp.PML(dpml)],
sources=sources,
geometry=geometry)
p1_region = mp.FluxRegion(volume=p1)
flux1 = sim.add_flux(fcen, 0, 1, p1_region)
p2_region = mp.FluxRegion(volume=p2)
flux2 = sim.add_flux(fcen, 0, 1, p2_region)
p3_region = mp.FluxRegion(volume=p3)
flux3 = sim.add_flux(fcen, 0, 1, p3_region)
p4_region = mp.FluxRegion(volume=p4)
flux4 = sim.add_flux(fcen, 0, 1, p4_region)
sim.run(until_after_sources=mp.stop_when_fields_decayed(
50, mp.Ez, p3.center, 1e-9))
p1_flux = mp.get_fluxes(flux1)
p2_flux = mp.get_fluxes(flux2)
p3_flux = mp.get_fluxes(flux3)
p4_flux = mp.get_fluxes(flux4)
mp.master_printf("data:, {}, {}, {}, {}".format(d,
-p2_flux[0] / p1_flux[0],
p3_flux[0] / p1_flux[0],
p4_flux[0] / p1_flux[0]))
def refl_planar(self, theta, special_kz):
resolution = 100 # pixels/um
dpml = 1.0
sx = 3 + 2 * dpml
sy = 1 / resolution
cell_size = mp.Vector3(sx, sy)
pml_layers = [mp.PML(dpml, direction=mp.X)]
fcen = 1.0 # source wavelength = 1 um
k_point = mp.Vector3(z=math.sin(theta)).scale(fcen)
sources = [
mp.Source(mp.GaussianSource(fcen, fwidth=0.2 * fcen),
component=mp.Ez,
center=mp.Vector3(-0.5 * sx + dpml),
size=mp.Vector3(y=sy))
]
sim = mp.Simulation(cell_size=cell_size,
boundary_layers=pml_layers,
sources=sources,
k_point=k_point,
special_kz=special_kz,
resolution=resolution)
refl_fr = mp.FluxRegion(center=mp.Vector3(-0.25 * sx),
size=mp.Vector3(y=sy))
refl = sim.add_flux(fcen, 0, 1, refl_fr)
sim.run(until_after_sources=mp.stop_when_fields_decayed(
50, mp.Ez, mp.Vector3(), 1e-9))
empty_flux = mp.get_fluxes(refl)
empty_data = sim.get_flux_data(refl)
sim.reset_meep()
geometry = [
mp.Block(material=mp.Medium(index=3.5),
size=mp.Vector3(0.5 * sx, mp.inf, mp.inf),
center=mp.Vector3(0.25 * sx))
]
sim = mp.Simulation(cell_size=cell_size,
boundary_layers=pml_layers,
geometry=geometry,
sources=sources,
k_point=k_point,
special_kz=special_kz,
resolution=resolution)
refl = sim.add_flux(fcen, 0, 1, refl_fr)
sim.load_minus_flux_data(refl, empty_data)
sim.run(until_after_sources=mp.stop_when_fields_decayed(
50, mp.Ez, mp.Vector3(), 1e-9))
refl_flux = mp.get_fluxes(refl)
Rmeep = -refl_flux[0] / empty_flux[0]
return Rmeep
math.sqrt(3) / 2),
mp.Vector3(0.5,
math.sqrt(3) / 2),
mp.Vector3(1, 0),
mp.Vector3(0.5, -math.sqrt(3) / 2),
mp.Vector3(-0.5, -math.sqrt(3) / 2)
]
geometry = [ #mp.Block(center=mp.Vector3(0,0,0), size=cell_size, material=mp.air),
mp.Prism(vertices,
height=1.9,
material=mp.metal,
center=mp.Vector3(0, 0, 0))
]
sim = mp.Simulation(resolution=50, cell_size=cell_size, geometry=geometry)
sim.init_sim()
eps_data = sim.get_epsilon()
#eps_data = sim.get_array()
#sim.plot3D(eps_data)
#from mayavi import mlab
#s = mlab.contour3d()
#mlab.show()
#mlab.savefig(filename='test2.png')
from mayavi import mlab
s = mlab.contour3d(eps_data, colormap="hsv")
#source=[mp.Source(mp.ContinuousSource(fcen,df,nfreq),
# component=mp.Ex,
# center=mp.Vector3(0,-0.90,0),
# size=mp.Vector3(sx-2.1,0,0))]
source = [
mp.Source(mp.GaussianSource(fcen, df, nfreq),
component=mp.Ex,
center=mp.Vector3(0, -0.90, 0),
size=mp.Vector3(sx - 2.1, 0, 0))
]
symmetries = [mp.Mirror(mp.X), mp.Mirror(mp.Z)]
sim = mp.Simulation(cell_size=cell,
geometry=geometry,
sources=source,
resolution=resolution,
boundary_layers=pml_layers,
filename_prefix='ref_slab')
pt = mp.Vector3(0, -0.90, 0)
sim.run(mp.dft_ldos(fcen, 0, nfreq),
mp.at_beginning(mp.output_epsilon),
mp.to_appended("ref_hz", mp.at_every(0.05, mp.output_hfield_z)),
until_after_sources=mp.stop_when_fields_decayed(10, mp.Hz, pt, 1e-3))
#sim.run(mp.dft_ldos(fcen,0,nfreq),mp.at_beginning(mp.output_epsilon),mp.at_end(mp.output_efield_x),until=50)
eps_data1 = sim.get_array(center=mp.Vector3(0, 0, 0),
size=mp.Vector3(sx - 2, sy - 2, sz),
component=mp.Dielectric)
ex_data1 = sim.get_array(center=mp.Vector3(0, 0, 0),
size=mp.Vector3(sx - 2, sy - 2, sz),
component=mp.Ex)
hz_data1 = sim.get_array(center=mp.Vector3(0, 0, 0),
def grating(gp, gh, gdc, oddz):
sx = dpml + dsub + gh + dpad + dpml
sy = gp
cell_size = mp.Vector3(sx, sy, 0)
pml_layers = [mp.PML(thickness=dpml, direction=mp.X)]
src_pt = mp.Vector3(-0.5 * sx + dpml + 0.5 * dsub, 0, 0)
sources = [
mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Ez if oddz else mp.Hz,
center=src_pt,
size=mp.Vector3(0, sy, 0))
]
symmetries = [mp.Mirror(mp.Y, phase=+1 if oddz else -1)]
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=pml_layers,
k_point=k_point,
default_material=glass,
sources=sources,
symmetries=symmetries)
mon_pt = mp.Vector3(0.5 * sx - dpml - 0.5 * dpad, 0, 0)
flux_mon = sim.add_flux(
fcen, df, nfreq, mp.FluxRegion(center=mon_pt,
size=mp.Vector3(0, sy, 0)))
sim.run(until_after_sources=100)
input_flux = mp.get_fluxes(flux_mon)
sim.reset_meep()
geometry = [
mp.Block(material=glass,
size=mp.Vector3(dpml + dsub, mp.inf, mp.inf),
center=mp.Vector3(-0.5 * sx + 0.5 * (dpml + dsub), 0, 0)),
mp.Block(material=glass,
size=mp.Vector3(gh, gdc * gp, mp.inf),
center=mp.Vector3(-0.5 * sx + dpml + dsub + 0.5 * gh, 0, 0))
]
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=pml_layers,
geometry=geometry,
k_point=k_point,
sources=sources,
symmetries=symmetries)
mode_mon = sim.add_flux(
fcen, df, nfreq, mp.FluxRegion(center=mon_pt,
size=mp.Vector3(0, sy, 0)))
sim.run(until_after_sources=300)
freqs = mp.get_eigenmode_freqs(mode_mon)
res = sim.get_eigenmode_coefficients(
mode_mon, [1],
eig_parity=mp.ODD_Z + mp.EVEN_Y if oddz else mp.EVEN_Z + mp.ODD_Y)
coeffs = res.alpha
mode_wvl = [1 / freqs[nf] for nf in range(nfreq)]
mode_tran = [
abs(coeffs[0, nf, 0])**2 / input_flux[nf] for nf in range(nfreq)
]
mode_phase = [np.angle(coeffs[0, nf, 0]) for nf in range(nfreq)]
return mode_wvl, mode_tran, mode_phase
3**0.5 / 6 * radius_percentage),
material=mp.Medium(epsilon=eps_si_5200))
]
sources = [
mp.Source(mp.GaussianSource(frequency=fcen, fwidth=fwidth), mp.Ez,
mp.Vector3(-10.5, 0))
]
pml_layers = [mp.PML(plmWidth)]
resolution = 32
sim = mp.Simulation(cell_size=cell,
boundary_layers=pml_layers,
geometry=geometry,
default_material=mp.Medium(index=1),
sources=sources,
resolution=resolution)
sim.use_output_directory("wave_in_band_gap")
def myhello(thisSim):
# print(-0.4*sx+sim.meep_time()*v)
if (thisSim.meep_time() > 90):
movingSources = []
thisSim.change_sources(movingSources)
return
sim.run(mp.at_beginning(mp.output_epsilon),
def make_sim(cell, res, pml, dims, create_gv=True, k_point=False):
sim = mp.Simulation(cell_size=cell, resolution=res, boundary_layers=pml, dimensions=dims, k_point=k_point)
if create_gv:
sim._create_grid_volume(False)
return sim
def test_refl_angular(self):
resolution = 100
dpml = 1.0
sz = 10
sz = sz + 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 * (fmin + fmax)
df = fmax - fmin
nfreq = 50
theta_r = math.radians(0)
k = mp.Vector3(math.sin(theta_r), 0, math.cos(theta_r)).scale(fcen)
dimensions = 1
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_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=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.load_minus_flux_data(refl, empty_data)
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)
expected = [
(1.25, -1.123696883299492e-6),
(1.2755102040816326, -2.5749667658387866e-6),
(1.3010204081632653, -5.70480204599006e-6),
(1.3265306122448979, -1.2220464827582253e-5),
(1.3520408163265305, -2.531247480206961e-5),
(1.3775510204081631, -5.069850309492639e-5),
(1.4030612244897958, -9.819256552437341e-5),
(1.4285714285714284, -1.8390448659017395e-4),
(1.454081632653061, -3.330762066794769e-4),
(1.4795918367346936, -5.833650417163753e-4),
(1.5051020408163263, -9.8807834237052e-4),
(1.5306122448979589, -0.001618472171445976),
(1.5561224489795915, -0.0025638388059825985),
(1.5816326530612241, -0.003927863989816029),
(1.6071428571428568, -0.005819831283556752),
(1.6326530612244894, -0.008339881000982728),
(1.658163265306122, -0.011558769654206626),
(1.6836734693877546, -0.015494308354153143),
(1.7091836734693873, -0.02008850084337135),
(1.73469387755102, -0.025190871516857616),
(1.7602040816326525, -0.030553756123198477),
(1.7857142857142851, -0.03584404966066722),
(1.8112244897959178, -0.040672967700428275),
(1.8367346938775504, -0.04464118393086191),
(1.862244897959183, -0.047392712128477496),
(1.8877551020408156, -0.048667403362887635),
(1.9132653061224483, -0.048341494285878264),
(1.938775510204081, -0.04644739000778679),
(1.9642857142857135, -0.043168390293742316),
(1.9897959183673462, -0.0388094755730579),
(2.0153061224489788, -0.03375052221907117),
(2.0408163265306114, -0.02839209067703472),
(2.066326530612244, -0.023104245646230648),
(2.0918367346938767, -0.01818725699718267),
(2.1173469387755093, -0.013849270759480073),
(2.142857142857142, -0.010201733597436358),
(2.1683673469387745, -0.007269616609175294),
(2.193877551020407, -0.005011210495189995),
(2.21938775510204, -0.0033417192031464896),
(2.2448979591836724, -0.0021557351734376256),
(2.270408163265305, -0.0013453062176115673),
(2.2959183673469377, -8.121742663131631e-4),
(2.3214285714285703, -4.7433135191915683e-4),
(2.346938775510203, -2.6799188013374266e-4),
(2.3724489795918355, -1.464781343401766e-4),
(2.397959183673468, -7.745339273024636e-5),
(2.423469387755101, -3.9621374769542025e-5),
(2.4489795918367334, -1.9608458558430508e-5),
(2.474489795918366, -9.38818477949983e-6),
(2.4999999999999987, -4.3484671364929225e-6),
]
np.testing.assert_allclose(expected,
list(zip(freqs, refl_flux)),
rtol=1e-6)
def main(args):
resolution = args.res
w1 = 1 # width of waveguide 1
w2 = 2 # width of waveguide 2
Lw = 10 # length of waveguide 1 and 2
Lt = args.Lt # taper length
Si = mp.Medium(epsilon=12.0)
dair = 3.0
dpml = 5.0
sx = dpml + Lw + Lt + Lw + dpml
sy = dpml + dair + w2 + dair + dpml
cell_size = mp.Vector3(sx, sy, 0)
prism_x = sx + 1
half_w1 = 0.5 * w1
half_w2 = 0.5 * w2
half_Lt = 0.5 * Lt
if Lt > 0:
vertices = [
mp.Vector3(-prism_x, half_w1),
mp.Vector3(-half_Lt, half_w1),
mp.Vector3(half_Lt, half_w2),
mp.Vector3(prism_x, half_w2),
mp.Vector3(prism_x, -half_w2),
mp.Vector3(half_Lt, -half_w2),
mp.Vector3(-half_Lt, -half_w1),
mp.Vector3(-prism_x, -half_w1)
]
else:
vertices = [
mp.Vector3(-prism_x, half_w1),
mp.Vector3(prism_x, half_w1),
mp.Vector3(prism_x, -half_w1),
mp.Vector3(-prism_x, -half_w1)
]
geometry = [mp.Prism(vertices, height=mp.inf, material=Si)]
boundary_layers = [mp.PML(dpml)]
# mode wavelength
lcen = 6.67
# mode frequency
fcen = 1 / lcen
sources = [
mp.EigenModeSource(src=mp.GaussianSource(fcen, fwidth=0.2 * fcen),
component=mp.Ez,
size=mp.Vector3(0, sy - 2 * dpml, 0),
center=mp.Vector3(-0.5 * sx + dpml + 0.2 * Lw, 0,
0),
eig_match_freq=True,
eig_parity=mp.ODD_Z + mp.EVEN_Y)
]
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=boundary_layers,
geometry=geometry,
sources=sources)
xm = -0.5 * sx + dpml + 0.5 * Lw # x-coordinate of monitor
mode_monitor = sim.add_eigenmode(
fcen, 0, 1,
mp.FluxRegion(center=mp.Vector3(xm, 0),
size=mp.Vector3(0, sy - 2 * dpml)))
sim.run(until_after_sources=mp.stop_when_fields_decayed(
50, mp.Ez, mp.Vector3(xm, 0, 0), 1e-9))
coeffs = sim.get_eigenmode_coefficients(mode_monitor, [1])
print("mode:, {}, {:.8f}, {:.8f}".format(Lt,
abs(coeffs[0, 0, 0])**2,
abs(coeffs[0, 0, 1])**2))
def pol_grating(d, ph, gp, nmode):
sx = dpml + dsub + d + d + dpad + dpml
sy = gp
cell_size = mp.Vector3(sx, sy, 0)
pml_layers = [mp.PML(thickness=dpml, direction=mp.X)]
# twist angle of nematic director; from equation 1b
def phi(p):
xx = p.x - (-0.5 * sx + dpml + dsub)
if (xx >= 0) and (xx <= d):
return math.pi * p.y / gp + ph * xx / d
else:
return math.pi * p.y / gp - ph * xx / d + 2 * ph
# return the anisotropic permittivity tensor for a uniaxial, twisted nematic liquid crystal
def lc_mat(p):
# rotation matrix for rotation around x axis
Rx = mp.Matrix(mp.Vector3(1, 0, 0),
mp.Vector3(0, math.cos(phi(p)), math.sin(phi(p))),
mp.Vector3(0, -math.sin(phi(p)), math.cos(phi(p))))
lc_epsilon = Rx * epsilon_diag * Rx.transpose()
lc_epsilon_diag = mp.Vector3(lc_epsilon[0].x, lc_epsilon[1].y,
lc_epsilon[2].z)
lc_epsilon_offdiag = mp.Vector3(lc_epsilon[1].x, lc_epsilon[2].x,
lc_epsilon[2].y)
return mp.Medium(epsilon_diag=lc_epsilon_diag,
epsilon_offdiag=lc_epsilon_offdiag)
geometry = [
mp.Block(center=mp.Vector3(-0.5 * sx + 0.5 * (dpml + dsub)),
size=mp.Vector3(dpml + dsub, mp.inf, mp.inf),
material=mp.Medium(index=n_0)),
mp.Block(center=mp.Vector3(-0.5 * sx + dpml + dsub + d),
size=mp.Vector3(2 * d, mp.inf, mp.inf),
material=lc_mat)
]
# linear-polarized planewave pulse source
src_pt = mp.Vector3(-0.5 * sx + dpml + 0.3 * dsub, 0, 0)
sources = [
mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Ez,
center=src_pt,
size=mp.Vector3(0, sy, 0)),
mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Ey,
center=src_pt,
size=mp.Vector3(0, sy, 0))
]
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=pml_layers,
k_point=k_point,
sources=sources,
default_material=mp.Medium(index=n_0))
refl_pt = mp.Vector3(-0.5 * sx + dpml + 0.5 * dsub, 0, 0)
refl_flux = sim.add_flux(
fcen, 0, 1, mp.FluxRegion(center=refl_pt, size=mp.Vector3(0, sy, 0)))
sim.run(until_after_sources=100)
input_flux = mp.get_fluxes(refl_flux)
input_flux_data = sim.get_flux_data(refl_flux)
sim.reset_meep()
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=pml_layers,
k_point=k_point,
sources=sources,
geometry=geometry)
refl_flux = sim.add_flux(
fcen, 0, 1, mp.FluxRegion(center=refl_pt, size=mp.Vector3(0, sy, 0)))
sim.load_minus_flux_data(refl_flux, input_flux_data)
tran_pt = mp.Vector3(0.5 * sx - dpml - 0.5 * dpad, 0, 0)
tran_flux = sim.add_flux(
fcen, 0, 1, mp.FluxRegion(center=tran_pt, size=mp.Vector3(0, sy, 0)))
sim.run(until_after_sources=300)
res1 = sim.get_eigenmode_coefficients(tran_flux,
range(1, nmode + 1),
eig_parity=mp.ODD_Z + mp.EVEN_Y)
res2 = sim.get_eigenmode_coefficients(tran_flux,
range(1, nmode + 1),
eig_parity=mp.EVEN_Z + mp.ODD_Y)
angles = [math.degrees(math.acos(kdom.x / fcen)) for kdom in res1.kdom]
return input_flux[0], angles, res1.alpha[:, 0, 0], res2.alpha[:, 0, 0]
sx = 40
sy = 6
cell_size = mp.Vector3(sx + 2 * dpml, sy)
v0 = 1.0 # pulse center frequency
a = 0.2 # Gaussian envelope half-width
b = -0.5 # linear chirp rate (positive: up-chirp, negative: down-chirp)
t0 = 15 # peak time
def chirp(t): return np.exp(1j * 2 * np.pi * v0 * (t - t0)) * \
np.exp(-a * (t - t0)**2 + 1j * b * (t - t0)**2)
sources = [mp.Source(src=mp.CustomSource(src_func=chirp),
center=mp.Vector3(-0.5 * sx),
size=mp.Vector3(y=sy),
component=mp.Ez)]
sim = mp.Simulation(cell_size=cell_size,
boundary_layers=pml_layers,
resolution=resolution,
k_point=mp.Vector3(),
sources=sources,
symmetries=[mp.Mirror(mp.Y)])
sim.run(mp.in_volume(mp.Volume(center=mp.Vector3(), size=mp.Vector3(sx, sy)),
mp.at_every(2.7, mp.output_efield_z)),
until=t0 + 50)
def wvg_flux(self, res, att_coeff):
"""
Computes the Poynting flux in a single-mode waveguide at two
locations (5 and 10 μm) downstream from the source given the
grid resolution res (pixels/μm) and material attenuation
coefficient att_coeff (dB/cm).
"""
cell_size = mp.Vector3(14., 14.)
pml_layers = [mp.PML(thickness=2.)]
w = 1. # width of waveguide
fsrc = 0.15 # frequency (in vacuum)
# note: MPB can only compute modes of lossless material systems.
# The imaginary part of ε is ignored and the launched
# waveguide mode is therefore inaccurate. For small values
# of imag(ε) (which is proportional to att_coeff), this
# inaccuracy tends to be insignificant.
sources = [
mp.EigenModeSource(src=mp.GaussianSource(fsrc, fwidth=0.2 * fsrc),
center=mp.Vector3(-5.),
size=mp.Vector3(y=10.),
eig_parity=mp.EVEN_Y + mp.ODD_Z)
]
# ref: https://en.wikipedia.org/wiki/Mathematical_descriptions_of_opacity
# Note that this is the loss of a planewave, which is only approximately
# the loss of a waveguide mode. In principle, we could compute the latter
# semi-analytically if we wanted to run this unit test to greater accuracy
# (e.g. to test convergence with resolution).
n_eff = np.sqrt(12.) + 1j * (1 / fsrc) * (dB_cm_to_dB_um *
att_coeff) / (4 * np.pi)
eps_eff = n_eff * n_eff
# ref: https://meep.readthedocs.io/en/latest/Materials/#conductivity-and-complex
sigma_D = 2 * np.pi * fsrc * np.imag(eps_eff) / np.real(eps_eff)
geometry = [
mp.Block(center=mp.Vector3(),
size=mp.Vector3(mp.inf, w, mp.inf),
material=mp.Medium(epsilon=np.real(eps_eff),
D_conductivity=sigma_D))
]
sim = mp.Simulation(cell_size=cell_size,
resolution=res,
boundary_layers=pml_layers,
sources=sources,
geometry=geometry,
symmetries=[mp.Mirror(mp.Y)])
tran1 = sim.add_flux(
fsrc, 0, 1,
mp.FluxRegion(center=mp.Vector3(x=0.), size=mp.Vector3(y=10.)))
tran2 = sim.add_flux(
fsrc, 0, 1,
mp.FluxRegion(center=mp.Vector3(x=5.), size=mp.Vector3(y=10.)))
sim.run(until_after_sources=20)
return mp.get_fluxes(tran1)[0], mp.get_fluxes(tran2)[0]
mp.Source(mp.GaussianSource(fcen, fwidth=0.1 * fcen, is_integrated=True),
center=mp.Vector3(-0.5 * s + dpml),
size=mp.Vector3(0, s),
component=mp.Ez)
]
symmetries = [mp.Mirror(mp.Y)]
geometry = [
mp.Cylinder(material=SiO2, center=mp.Vector3(), radius=r, height=mp.inf)
]
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=pml_layers,
sources=sources,
k_point=mp.Vector3(),
symmetries=symmetries,
geometry=geometry)
dft_fields = sim.add_dft_fields([mp.Dz, mp.Ez],
fcen,
0,
1,
center=mp.Vector3(),
size=mp.Vector3(2 * r, 2 * r),
yee_grid=True)
# closed box surrounding cylinder for computing total incoming flux
flux_box = sim.add_flux(
fcen, 0, 1,
def test_check_material_frequencies(self):
mat = mp.Medium(valid_freq_range=mp.FreqRange(min=10, max=20))
invalid_sources = [
[mp.Source(mp.GaussianSource(5, fwidth=1), mp.Ez, mp.Vector3())],
[
mp.Source(mp.ContinuousSource(10, fwidth=1), mp.Ez,
mp.Vector3())
],
[mp.Source(mp.GaussianSource(10, width=1), mp.Ez, mp.Vector3())],
[mp.Source(mp.GaussianSource(20, width=1), mp.Ez, mp.Vector3())],
]
cell_size = mp.Vector3(5, 5)
resolution = 5
def check_warnings(sim, should_warn=True):
with warnings.catch_warnings(record=True) as w:
warnings.simplefilter("always")
sim.run(until=5)
if should_warn:
self.assertEqual(len(w), 1)
self.assertIn("material", str(w[-1].message))
else:
self.assertEqual(len(w), 0)
geom = [mp.Sphere(0.2, material=mat)]
for s in invalid_sources:
# Check for invalid extra_materials
sim = mp.Simulation(cell_size=cell_size,
resolution=resolution,
sources=s,
extra_materials=[mat])
check_warnings(sim)
# Check for invalid geometry materials
sim = mp.Simulation(cell_size=cell_size,
resolution=resolution,
sources=s,
geometry=geom)
check_warnings(sim)
valid_sources = [[
mp.Source(mp.GaussianSource(15, fwidth=1), mp.Ez, mp.Vector3())
], [mp.Source(mp.ContinuousSource(15, width=5), mp.Ez, mp.Vector3())]]
for s in valid_sources:
sim = mp.Simulation(cell_size=cell_size,
resolution=resolution,
sources=s,
extra_materials=[mat])
check_warnings(sim, False)
# Check DFT frequencies
# Invalid extra_materials
sim = mp.Simulation(cell_size=cell_size,
resolution=resolution,
sources=valid_sources[0],
extra_materials=[mat])
fregion = mp.FluxRegion(center=mp.Vector3(0, 1),
size=mp.Vector3(2, 2),
direction=mp.X)
sim.add_flux(15, 6, 2, fregion)
check_warnings(sim)
# Invalid geometry material
sim = mp.Simulation(cell_size=cell_size,
resolution=resolution,
sources=valid_sources[0],
geometry=geom)
sim.add_flux(15, 6, 2, fregion)
check_warnings(sim)
cell = mp.Vector3(sx, sy, 0)
blk = mp.Block(size=mp.Vector3(mp.inf, w, mp.inf),
material=mp.Medium(epsilon=eps))
geometry = [blk]
for i in range(3):
geometry.append(mp.Cylinder(r, center=mp.Vector3(d / 2 + i)))
for i in range(3):
geometry.append(mp.Cylinder(r, center=mp.Vector3(d / -2 - i)))
sim = mp.Simulation(cell_size=cell,
geometry=geometry,
sources=[],
boundary_layers=[mp.PML(dpml)],
resolution=20)
# add sources
sim.sources = [mp.Source(mp.GaussianSource(fcen, fwidth=df),
mp.Hz, mp.Vector3())]
# run until sources are finished (and no later)
sim._run_sources_until(0, [])
# get 1D and 2D array slices
xMin = -0.25 * sx
xMax = +0.25 * sx
yMin = -0.15 * sy
yMax = +0.15 * sy
mp.Block(material=glass,
size=mp.Vector3(sr, 0, dpml + dsub),
center=mp.Vector3(0.5 * sr, 0, -0.5 * sz + 0.5 * (dpml + dsub)))
]
for n in range(zN - 1, -1, -1):
geometry.append(
mp.Block(material=glass if n % 2 == 0 else mp.vacuum,
size=mp.Vector3(r[n], 0, zh),
center=mp.Vector3(0.5 * r[n], 0,
-0.5 * sz + dpml + dsub + 0.5 * zh)))
sim = mp.Simulation(cell_size=cell_size,
boundary_layers=pml_layers,
resolution=resolution,
sources=sources,
geometry=geometry,
dimensions=mp.CYLINDRICAL,
m=-1)
## near-field monitor
n2f_obj = sim.add_near2far(
frq_cen, 0, 1,
mp.Near2FarRegion(center=mp.Vector3(0.5 * (sr - dpml), 0, 0.5 * sz - dpml),
size=mp.Vector3(sr - dpml)),
mp.Near2FarRegion(center=mp.Vector3(sr - dpml, 0,
0.5 * sz - 0.5 * (dsub + zh + dpad)),
size=mp.Vector3(z=dsub + zh + dpad)))
sim.run(until_after_sources=100)
def test_mode_decomposition(self):
resolution = 10
w1 = 1
w2 = 2
Lw = 2
dair = 3.0
dpml = 5.0
sy = dpml + dair + w2 + dair + dpml
half_w1 = 0.5 * w1
half_w2 = 0.5 * w2
Si = mp.Medium(epsilon=12.0)
boundary_layers = [mp.PML(dpml)]
lcen = 6.67
fcen = 1 / lcen
symmetries = [mp.Mirror(mp.Y)]
Lt = 2
sx = dpml + Lw + Lt + Lw + dpml
cell_size = mp.Vector3(sx, sy, 0)
prism_x = sx + 1
half_Lt = 0.5 * Lt
src_pt = mp.Vector3(-0.5 * sx + dpml + 0.2 * Lw, 0, 0)
sources = [
mp.EigenModeSource(src=mp.GaussianSource(fcen, fwidth=0.2 * fcen),
component=mp.Ez,
center=src_pt,
size=mp.Vector3(0, sy - 2 * dpml, 0),
eig_match_freq=True,
eig_parity=mp.ODD_Z + mp.EVEN_Y)
]
vertices = [
mp.Vector3(-prism_x, half_w1),
mp.Vector3(prism_x, half_w1),
mp.Vector3(prism_x, -half_w1),
mp.Vector3(-prism_x, -half_w1)
]
sim = mp.Simulation(
resolution=resolution,
cell_size=cell_size,
boundary_layers=boundary_layers,
geometry=[mp.Prism(vertices, height=mp.inf, material=Si)],
sources=sources,
symmetries=symmetries)
mon_pt = mp.Vector3(-0.5 * sx + dpml + 0.5 * Lw, 0, 0)
flux = sim.add_flux(
fcen, 0, 1,
mp.FluxRegion(center=mon_pt, size=mp.Vector3(0, sy - 2 * dpml, 0)))
sim.run(until_after_sources=mp.stop_when_fields_decayed(
50, mp.Ez, src_pt, 1e-9))
incident_coeffs, vgrp, kpoints = sim.get_eigenmode_coefficients(
flux, [1], eig_parity=mp.ODD_Z + mp.EVEN_Y)
incident_flux = mp.get_fluxes(flux)
incident_flux_data = sim.get_flux_data(flux)
sim.reset_meep()
vertices = [
mp.Vector3(-prism_x, half_w1),
mp.Vector3(-half_Lt, half_w1),
mp.Vector3(half_Lt, half_w2),
mp.Vector3(prism_x, half_w2),
mp.Vector3(prism_x, -half_w2),
mp.Vector3(half_Lt, -half_w2),
mp.Vector3(-half_Lt, -half_w1),
mp.Vector3(-prism_x, -half_w1)
]
sim = mp.Simulation(
resolution=resolution,
cell_size=cell_size,
boundary_layers=boundary_layers,
geometry=[mp.Prism(vertices, height=mp.inf, material=Si)],
sources=sources,
symmetries=symmetries)
refl_flux = sim.add_flux(
fcen, 0, 1,
mp.FluxRegion(center=mon_pt, size=mp.Vector3(0, sy - 2 * dpml, 0)))
sim.load_minus_flux_data(refl_flux, incident_flux_data)
sim.run(until_after_sources=mp.stop_when_fields_decayed(
50, mp.Ez, src_pt, 1e-9))
coeffs, vgrp, kpoints = sim.get_eigenmode_coefficients(
refl_flux, [1], eig_parity=mp.ODD_Z + mp.EVEN_Y)
taper_flux = mp.get_fluxes(refl_flux)
self.assertAlmostEqual(abs(coeffs[0, 0, 1])**2 /
abs(incident_coeffs[0, 0, 0])**2,
-taper_flux[0] / incident_flux[0],
places=4)
# glass substrate
sources = [
mp.Source(mp.ContinuousSource(wavelength=0.450, end_time=20),
component=mp.Ez,
center=mp.Vector3(-3, 0))
]
firstfr = mp.FluxRegion(center=mp.Vector3(-2, 0, 0), size=mp.Vector3(0, 30))
secfr = mp.FluxRegion(center=mp.Vector3(4, 0, 0), size=mp.Vector3(0, 30))
sim = mp.Simulation(cell_size=cell,
k_point=mp.Vector3(),
default_material=mp.Medium(index=1.6),
boundary_layers=pml_layers,
geometry=[],
sources=sources,
resolution=resolution)
before_block = sim.add_flux(1 / 0.450, 0.5, 5, firstfr)
sim.plot2D(eps_parameters={"cmap": "brg"},
boundary_parameters={
'hatch': 'o',
'linewidth': 1.5,
'facecolor': 'y',
'edgecolor': 'y',
'alpha': 0.7
})
mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Ez,
center=mp.Vector3(src_pos, 0, 0),
size=mp.Vector3(0, sy, 0))
]
k_point = mp.Vector3(0, 0, 0)
glass = mp.Medium(index=1.5)
symmetries = [mp.Mirror(mp.Y)]
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=pml_layers,
k_point=k_point,
default_material=glass,
sources=sources,
symmetries=symmetries)
nfreq = 21
xm = 0.5 * sx - dpml - 0.5 * dpad
eig_mon = sim.add_flux(
fcen, df, nfreq,
mp.FluxRegion(center=mp.Vector3(xm, 0, 0), size=mp.Vector3(0, sy, 0)))
sim.run(until_after_sources=mp.stop_when_fields_decayed(
50, mp.Ez, mp.Vector3(xm, 0, 0), 1e-9))
coeffs0, vgrps0, kpoints0 = sim.get_eigenmode_coefficients(
eig_mon, [1], eig_parity=mp.ODD_Z + mp.EVEN_Y)
N0 = 37 # initial population density of ground state
Rp = 0.0051 # pumping rate of ground to excited state
# so for example, these parameters have D_0 (SALT) = 0.0693.
# Make the actual medium in MEEP:
transitions = [mp.Transition(1, 2, pumping_rate=Rp, frequency=freq_21, gamma=gamma_21,
sigma_diag=mp.Vector3(sigma_21,0,0)),
mp.Transition(2, 1, transition_rate=rate_21)]
ml_atom = mp.MultilevelAtom(sigma=1, transitions=transitions, initial_populations=[N0])
two_level = mp.Medium(index=ncav, E_susceptibilities=[ml_atom])
# Specify the cavity geometry:
geometry = [mp.Block(center=mp.Vector3(z=-0.5*sz+0.5*Lcav)),
size=mp.Vector3(mp.inf,mp.inf,Lcav), material=two_level)]
sim = mp.Simulation(cell_size=cell_size,
resolution=resolution,
boundary_layers=pml_layers,
geometry=geometry,
dimensions=dimensions)
sim.init_sim()
def field_func(p):
return 1 if p.z==-0.5*sz + 0.5*Lcav else 0
sim.fields.initialize_field(mp.Ex, field_func)
# Specify the end time:
endt = 7000
# Note that the total number of time steps run is endt*resolution*2. This is the origin of the extra
def standard(metalens):
metalens['run_date'] = int(time())
matter = mp.Medium(epsilon=metalens['epsilon'])
pillar_locs = list(
product(
[-metalens['pillar_separation'], metalens['pillar_separation']],
[-metalens['pillar_separation'], metalens['pillar_separation']]))
pillar_locs.append((0, 0))
pillars = [
mp.Cylinder(radius=metalens['pillar_radius'],
height=metalens['pillar_height'],
center=mp.Vector3(x, y, 0),
material=matter) for x, y in pillar_locs
]
substrate = [
mp.Block(size=mp.Vector3(metalens['sim_cell_width'],
metalens['sim_cell_width'],
metalens['sim_cell_width'] / 2),
center=mp.Vector3(0, 0, -metalens['sim_cell_width'] / 4),
material=matter)
]
geometry = substrate + pillars
cell = mp.Vector3(metalens['sim_cell_width'], metalens['sim_cell_width'],
metalens['sim_cell_width'])
pml = [mp.PML(metalens['PML_width'])]
source = [
mp.Source(src=mp.ContinuousSource(wavelength=metalens['wavelength']),
component=mp.Ex,
center=mp.Vector3(0, 0, -metalens['sim_cell_width'] / 4),
size=mp.Vector3(0, 0, 0))
]
symmetries = []
for symmetry in metalens['symmetries']:
if symmetry == 'x':
symmetries.append(mp.Mirror(mp.X))
if symmetry == 'y':
symmetries.append(mp.Mirror(mp.Y))
sim = mp.Simulation(cell_size=cell,
boundary_layers=pml,
geometry=geometry,
force_complex_fields=metalens['complex_fields'],
symmetries=symmetries,
sources=source,
resolution=metalens['resolution'])
start_time = time()
mp.quiet(metalens['quiet'])
# mp.verbosity(3)
sim.init_sim()
metalens['time_for_init'] = (time() - start_time)
start_time = time()
#sim.run(mp.at_end(mp.output_efield(sim)),until=metalens['sim_time'])
sim.run(until=metalens['sim_time'])
metalens['time_for_running'] = time() - start_time
start_time = time()
sim.filename_prefix = 'standard_candle-%d' % metalens['run_date']
print(sim.filename_prefix)
mp.output_efield(sim)
mp.output_hfield(sim)
# print("collecting fields...")
# h5_fname = 'candle-{run_date}.h5'.format(run_date = metalens['run_date'])
# if metalens['save_fields_to_h5'] and rank ==0:#(not os.path.exists(h5_fname)):
# metalens['h5_fname'] = h5_fname
# h5_file = h5py.File(h5_fname,'w', driver='mpio', comm=MPI.COMM_WORLD)
# fields = h5_file.create_group('fields')
# Ex = np.transpose(sim.get_array(component=mp.Ex),(2,1,0))
# metalens['voxels'] = Ex.shape[0]**3
# metalens['voxels'] = Ex.shape[0]**3
# metalens['above_pillar_index'] = int(Ex.shape[0]/2. + 3*metalens['pillar_height']*metalens['resolution']/2)
# mp.output_efield('test')
# fields.create_dataset('Ex',
# data=Ex)
# del Ex
# fields.create_dataset('Ey',
# data=np.transpose(sim.get_array(component=mp.Ey),(2,1,0)))
# fields.create_dataset('Ez',
# data=np.transpose(sim.get_array(component=mp.Ez),(2,1,0)))
# fields.create_dataset('Hx',
# data=np.transpose(sim.get_array(component=mp.Hx),(2,1,0)))
# fields.create_dataset('Hy',
# data=np.transpose(sim.get_array(component=mp.Hy),(2,1,0)))
# fields.create_dataset('Hz',
# data=np.transpose(sim.get_array(component=mp.Hz),(2,1,0)))
# h5_file.close()
# else:
# metalens['fields'] = {
# 'Ex': np.transpose(sim.get_array(component=mp.Ex),(2,1,0)),
# 'Ey': np.transpose(sim.get_array(component=mp.Ey),(2,1,0)),
# 'Ez': np.transpose(sim.get_array(component=mp.Ez),(2,1,0)),
# 'Hx': np.transpose(sim.get_array(component=mp.Hx),(2,1,0)),
# 'Hy': np.transpose(sim.get_array(component=mp.Hy),(2,1,0)),
# 'Hz': np.transpose(sim.get_array(component=mp.Hz),(2,1,0))
# }
# metalens['voxels'] = metalens['fields']['Ex'].shape[0]**3
# metalens['above_pillar_index'] = int(metalens['fields']['Ex'].shape[0]/2. + 3*metalens['pillar_height']*metalens['resolution']/2)
metalens['voxels'] = int((8 * metalens['resolution'])**3)
metalens['time_for_saving_fields'] = round(time() - start_time, 0)
metalens['max_mem_usage_in_Gb'] = metalens[
'num_cores'] * resource.getrusage(resource.RUSAGE_SELF).ru_maxrss / 1E6
metalens['max_mem_usage_in_Gb'] = round(metalens['max_mem_usage_in_Gb'], 2)
metalens['summary'] = '''init time = {time_for_init:.1f} s
running simulation = {time_for_running:.1f} s
saving fields = {time_for_saving_fields:.1f} s
num voxels = {voxels}
max memory usage = {max_mem_usage_in_Gb:.2f} Gb'''.format(**metalens)
metalens['pkl_fname'] = 'standard-candle-%d.pkl' % metalens['run_date']
return metalens