def setUp(self):
resolution = 40
cell_size = mp.Vector3(z=10)
absorber_layers = [mp.Absorber(1, direction=mp.Z)]
sources = [mp.Source(src=mp.GaussianSource(1 / 0.803, fwidth=0.1), center=mp.Vector3(),
component=mp.Ex)]
self.sim = mp.Simulation(cell_size=cell_size,
resolution=resolution,
dimensions=1,
default_material=Al,
boundary_layers=absorber_layers,
sources=sources)
def test_set_materials(self):
def change_geom(sim):
t = sim.meep_time()
fn = t * 0.02
geom = [
mp.Cylinder(radius=3,
material=mp.Medium(index=3.5),
center=mp.Vector3(fn, fn)),
mp.Ellipsoid(size=mp.Vector3(1, 2, mp.inf),
center=mp.Vector3(fn, fn))
]
sim.set_materials(geometry=geom)
c = mp.Cylinder(radius=3, material=mp.Medium(index=3.5))
e = mp.Ellipsoid(size=mp.Vector3(1, 2, mp.inf))
sources = mp.Source(src=mp.GaussianSource(1, fwidth=0.1),
component=mp.Hz,
center=mp.Vector3())
symmetries = [mp.Mirror(mp.X, -1), mp.Mirror(mp.Y, -1)]
sim = mp.Simulation(cell_size=mp.Vector3(10, 10),
geometry=[c, e],
boundary_layers=[mp.PML(1.0)],
sources=[sources],
symmetries=symmetries,
resolution=16)
eps = {'arr1': None, 'arr2': None}
def get_arr1(sim):
eps['arr1'] = sim.get_array(mp.Volume(mp.Vector3(),
mp.Vector3(10, 10)),
component=mp.Dielectric)
def get_arr2(sim):
eps['arr2'] = sim.get_array(mp.Volume(mp.Vector3(),
mp.Vector3(10, 10)),
component=mp.Dielectric)
sim.run(mp.at_time(50, get_arr1),
mp.at_time(100, change_geom),
mp.at_end(get_arr2),
until=200)
self.assertFalse(np.array_equal(eps['arr1'], eps['arr2']))
def free_space_radiation(self):
sxy = 4
dpml = 1
cell_size = mp.Vector3(sxy + 2 * dpml, sxy + 2 * dpml)
pml_layers = [mp.PML(dpml)]
fcen = 1 / self.wvl
sources = [
mp.Source(src=mp.GaussianSource(fcen, fwidth=0.2 * fcen),
center=mp.Vector3(),
component=self.src_cmpt)
]
if self.src_cmpt == mp.Hz:
symmetries = [mp.Mirror(mp.X, phase=-1), mp.Mirror(mp.Y, phase=-1)]
elif self.src_cmpt == mp.Ez:
symmetries = [mp.Mirror(mp.X, phase=+1), mp.Mirror(mp.Y, phase=+1)]
else:
symmetries = []
sim = mp.Simulation(cell_size=cell_size,
resolution=self.resolution,
sources=sources,
symmetries=symmetries,
boundary_layers=pml_layers,
default_material=mp.Medium(index=self.n))
nearfield_box = sim.add_near2far(
fcen, 0, 1,
mp.Near2FarRegion(center=mp.Vector3(0, +0.5 * sxy),
size=mp.Vector3(sxy, 0)),
mp.Near2FarRegion(center=mp.Vector3(0, -0.5 * sxy),
size=mp.Vector3(sxy, 0),
weight=-1),
mp.Near2FarRegion(center=mp.Vector3(+0.5 * sxy, 0),
size=mp.Vector3(0, sxy)),
mp.Near2FarRegion(center=mp.Vector3(-0.5 * sxy, 0),
size=mp.Vector3(0, sxy),
weight=-1))
sim.run(until_after_sources=mp.stop_when_dft_decayed())
Pr = self.radial_flux(sim, nearfield_box, self.r)
return Pr
def test_load_dump_structure(self):
from meep.materials import Al
resolution = 50
cell = mp.Vector3(5, 5)
sources = mp.Source(src=mp.GaussianSource(1, fwidth=0.2), center=mp.Vector3(), component=mp.Ez)
one_by_one = mp.Vector3(1, 1, mp.inf)
geometry = [mp.Block(material=Al, center=mp.Vector3(-1.5, -1.5), size=one_by_one),
mp.Block(material=mp.Medium(epsilon=13), center=mp.Vector3(1.5, 1.5), size=one_by_one)]
pml_layers = [mp.PML(0.5)]
sim = mp.Simulation(resolution=resolution,
cell_size=cell,
boundary_layers=pml_layers,
geometry=geometry,
sources=[sources])
sample_point = mp.Vector3(0.12, -0.29)
ref_field_points = []
def get_ref_field_point(sim):
p = sim.get_field_point(mp.Ez, sample_point)
ref_field_points.append(p.real)
sim.run(mp.at_every(5, get_ref_field_point), until=50)
dump_fn = 'test_load_dump_structure.h5'
sim.dump_structure(dump_fn)
sim = mp.Simulation(resolution=resolution,
cell_size=cell,
boundary_layers=pml_layers,
sources=[sources],
load_structure=dump_fn)
field_points = []
def get_field_point(sim):
p = sim.get_field_point(mp.Ez, sample_point)
field_points.append(p.real)
sim.run(mp.at_every(5, get_field_point), until=50)
for ref_pt, pt in zip(ref_field_points, field_points):
self.assertAlmostEqual(ref_pt, pt)
mp.all_wait()
if mp.am_master():
os.remove(dump_fn)
def test_custom_source(self):
n = 3.4
w = 1
r = 1
pad = 4
dpml = 2
sxy = 2 * (r + w + pad + dpml)
cell = mp.Vector3(sxy, sxy)
geometry = [
mp.Cylinder(r + w, material=mp.Medium(index=n)),
mp.Cylinder(r, material=mp.air)
]
boundary_layers = [mp.PML(dpml)]
resolution = 10
fcen = 0.15
df = 0.1
# Bump function
def my_src_func(t):
if t > 0 and t < 2:
return math.exp(-1 / (1 - ((t - 1)**2)))
return 0j
sources = [
mp.Source(src=mp.CustomSource(src_func=my_src_func, end_time=100),
component=mp.Ez,
center=mp.Vector3(r + 0.1))
]
symmetries = [mp.Mirror(mp.Y)]
sim = mp.Simulation(cell_size=cell,
resolution=resolution,
geometry=geometry,
boundary_layers=boundary_layers,
sources=sources,
symmetries=symmetries)
h = mp.Harminv(mp.Ez, mp.Vector3(r + 0.1), fcen, df)
sim.run(mp.after_sources(h), until_after_sources=200)
fp = sim.get_field_point(mp.Ez, mp.Vector3(1))
self.assertAlmostEqual(fp, -0.021997617628500023 + 0j)
def gaussian_beam(sim, src_time, width, polarization, amplitude=1.0):
# assume first boundary layer is the full PML
pml_thickness = sim.boundary_layers[0].thickness
cell = sim.cell_size
def amp_func(pos):
return gaussian_amp(pos, width)
source = meep.Source(src_time,
component=polarization,
center=meep.Vector3(0, 0,
-cell[2] / 2 + pml_thickness),
size=meep.Vector3(cell[0], cell[1], 0),
amplitude=amplitude,
amp_func=amp_func)
sim.add_source(source)
def setUp(self):
resolution = 20
cell = mp.Vector3(10, 10)
pml_layers = mp.PML(1.0)
fcen = 1.0
df = 1.0
sources = mp.Source(src=mp.GaussianSource(fcen, fwidth=df),
center=mp.Vector3(),
component=mp.Ez)
self.sim = mp.Simulation(resolution=resolution,
cell_size=cell,
boundary_layers=[pml_layers],
sources=[sources])
fr = mp.ForceRegion(mp.Vector3(y=1.27), mp.Y, size=mp.Vector3(4.38))
self.myforce = self.sim.add_force(fcen, 0, 1, fr)
def setUp(self):
r = 0.36
d = 1.4
sy = 6
pad = 2
dpml = 1
sx = (2 * (pad + dpml + 3)) + d - 1
cell = mp.Vector3(sx, sy, 0)
blk = mp.Block(size=mp.Vector3(1e20, 1.2, 1e20),
material=mp.Medium(epsilon=13))
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)))
sources = [
mp.Source(mp.GaussianSource(0.25, fwidth=0.2), mp.Hz, mp.Vector3())
]
self.sim = mp.Simulation(cell_size=cell,
geometry=geometry,
sources=sources,
boundary_layers=[mp.PML(dpml)],
resolution=20)
self.x_min = -0.25 * sx
self.x_max = +0.25 * sx
self.y_min = -0.15 * sy
self.y_max = +0.15 * sy
self.size_1d = mp.Vector3(self.x_max - self.x_min)
self.center_1d = mp.Vector3((self.x_min + self.x_max) / 2)
self.size_2d = mp.Vector3(self.x_max - self.x_min,
self.y_max - self.y_min)
self.center_2d = mp.Vector3((self.x_min + self.x_max) / 2,
(self.y_min + self.y_max) / 2)
def main(args):
sx = 4.0 #spatial extent along x including pmls (μm)
sy = 4
sz = 0
dpml = 1.0
cell = mp.Vector3(sx, sy, sz)
pml_layers = [mp.PML(dpml)]
geometry = [
mp.Block(mp.Vector3(mp.inf, 0.050, 0),
center=mp.Vector3(0, 0.025, 0),
material=Ag)
]
resolution = args.res
wvlmax = 1.0
fmin = 1 / wvlmax
wvlmin = 0.100
fmax = 1 / wvlmin
wvl = args.wvl
fcen = 1 / wvl
df = fmax - fmin
nfreq = 1
print("wavelength =", wvl, "μm")
print("center frequency =", fcen, "1/μm")
source = [
mp.Source(mp.GaussianSource(fcen, 0, nfreq),
component=mp.Ex,
center=mp.Vector3(0, -0.050, 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)
pt = mp.Vector3(0, -0.050, 0)
sim.run(mp.dft_ldos(fcen, 0, nfreq),
until_after_sources=mp.stop_when_fields_decayed(
20, mp.Ex, pt, 1e-3))
eps_data = sim.get_array(center=mp.Vector3(),
size=cell,
component=mp.Dielectric)
ey_data = sim.get_array(center=mp.Vector3(), size=cell, component=mp.Ey)
def test_divide_parallel_processes(self):
resolution = 20
sxy = 4
dpml = 1
cell = mp.Vector3(sxy+2*dpml,sxy+2*dpml)
pml_layers = [mp.PML(dpml)]
n = mp.divide_parallel_processes(2)
fcen = 1.0/(n+1)
sources = [mp.Source(src=mp.GaussianSource(fcen,fwidth=0.2*fcen),
center=mp.Vector3(),
component=mp.Ez)]
symmetries = [mp.Mirror(mp.X),
mp.Mirror(mp.Y)]
self.sim = mp.Simulation(cell_size=cell,
resolution=resolution,
sources=sources,
symmetries=symmetries,
boundary_layers=pml_layers)
flux_box = self.sim.add_flux(fcen, 0, 1,
mp.FluxRegion(mp.Vector3(y=0.5*sxy), size=mp.Vector3(sxy)),
mp.FluxRegion(mp.Vector3(y=-0.5*sxy), size=mp.Vector3(sxy), weight=-1),
mp.FluxRegion(mp.Vector3(0.5*sxy), size=mp.Vector3(y=sxy)),
mp.FluxRegion(mp.Vector3(-0.5*sxy), size=mp.Vector3(y=sxy), weight=-1))
self.sim.run(until_after_sources=30)
tot_flux = mp.get_fluxes(flux_box)[0]
tot_fluxes = mp.merge_subgroup_data(tot_flux)
fcens = mp.merge_subgroup_data(fcen)
self.assertEqual(fcens[0],1)
self.assertEqual(fcens[1],0.5)
self.assertAlmostEqual(tot_fluxes[0], 9.8628728533)
self.assertAlmostEqual(tot_fluxes[1], 19.6537275387)
def test_material_dispersion_with_user_material(self):
susceptibilities = [
mp.LorentzianSusceptibility(frequency=1.1, gamma=1e-5, sigma=0.5),
mp.LorentzianSusceptibility(frequency=0.5, gamma=0.1, sigma=2e-5)
]
def mat_func(p):
return mp.Medium(epsilon=2.25, E_susceptibilities=susceptibilities)
fcen = 1.0
df = 2.0
sources = mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Ez,
center=mp.Vector3())
kmin = 0.3
kmax = 2.2
k_interp = 5
kpts = mp.interpolate(k_interp, [mp.Vector3(kmin), mp.Vector3(kmax)])
self.sim = mp.Simulation(cell_size=mp.Vector3(),
geometry=[],
sources=[sources],
material_function=mat_func,
default_material=mp.air,
resolution=20)
all_freqs = self.sim.run_k_points(200, kpts)
res = [f.real for fs in all_freqs for f in fs]
expected = [
0.1999342026399106,
0.41053963810375294,
0.6202409070451909,
0.8285737385146619,
1.0350739448523063,
1.2392775309110078,
1.4407208712852109,
]
np.testing.assert_allclose(expected, res)
def setUp(cls):
cls.resolution = 20 # pixels/μm
cls.dpml = 0.5 # thickness of PML
cls.L = 6.0 # length of non-PML region
cls.n = 2.4 # refractive index of surrounding medium
cls.wvl = 1.0 # wavelength (in vacuum)
cls.fcen = 1 / cls.wvl
cls.sources = [
mp.Source(src=mp.GaussianSource(cls.fcen, fwidth=0.2 * cls.fcen),
component=mp.Ex,
center=mp.Vector3())
]
cls.symmetries = [
mp.Mirror(direction=mp.X, phase=-1),
mp.Mirror(direction=mp.Y),
mp.Mirror(direction=mp.Z)
]
def test_absorber_2d(self):
source = mp.Source(
src=mp.GaussianSource(frequency=0.1, fwidth=0.1),
component=mp.Hz,
center=mp.Vector3()
)
sim = mp.Simulation(
cell_size=mp.Vector3(20, 20, 0),
resolution=10,
sources=[source],
boundary_layers=[mp.Absorber(5)]
)
sim.run(until_after_sources=1000)
v = mp.Vector3(4.13, 3.75, 0)
p = sim.get_field_point(mp.Hz, v)
self.assertAlmostEqual(-4.058476603571745e-11, p.real)
def main():
n = 3.4 # index of waveguide
w = 1 # width of waveguide
r = 1 # inner radius of ring
pad = 4 # padding between waveguide and edge of PML
dpml = 2 # thickness of PML
sxy = 2 * (r + w + pad + dpml) # cell size
# Create a ring waveguide by two overlapping cylinders - later objects
# take precedence over earlier objects, so we put the outer cylinder first.
# and the inner (air) cylinder second.
c1 = mp.Cylinder(radius=r + w, material=mp.Medium(index=n))
c2 = mp.Cylinder(radius=r)
# If we don't want to excite a specific mode symmetry, we can just
# put a single point source at some arbitrary place, pointing in some
# arbitrary direction. We will only look for Ez-polarized modes.
fcen = 0.15 # pulse center frequency
df = 0.1 # pulse width (in frequency)
src = mp.Source(mp.GaussianSource(fcen, fwidth=df), mp.Hz, mp.Vector3(r + 0.1))
sim = mp.Simulation(cell_size=mp.Vector3(sxy, sxy),
geometry=[c1, c2],
sources=[src],
resolution=10,
symmetries=[mp.Mirror(mp.Y)],
boundary_layers=[mp.PML(dpml)])
h = mp.Harminv(mp.Ex, mp.Vector3(r + 0.1), fcen, df)
sim.run(mp.after_sources(h), until_after_sources=200)
print(f'Harminv found {len(h.modes)} resonant modes(s).')
for mode in h.modes:
print(f'The resonant mode with f={mode.freq} has Q={mode.Q}')
sim.plot2D(fields=mp.Ex,
field_parameters={'alpha':0.8, 'cmap':'RdBu', 'interpolation':'none'},
boundary_parameters={'hatch':'o', 'linewidth':1.5, 'facecolor':'y', 'edgecolor':'b', 'alpha':0.3})
plt.show()
def place_adjoint_sources(self, qweights):
# extract temporal envelope of forward sources from existing simulation
envelope = self.sim.sources[0].src
freq = envelope.frequency
omega = 2.0*np.pi*freq
factor = 2.0j*omega
if callable(getattr(envelope, "fourier_transform", None)):
factor /= envelope.fourier_transform(freq)
##################################################
# loop over all objective quantities, adding
# appropriately-weighted adjoint sources for each
# quantity
##################################################
self.sim.reset_meep()
self.sim.change_sources([])
nf=0
for qr, qw in zip(self.obj_func.qrules, qweights):
if qw==0.0:
continue
code, mode, cell=qr.code, qr.mode, self.dft_cells[qr.ncell]
EH = cell.get_EH_slices(nf=nf, label='forward') if mode==0 \
else cell.get_eigenfield_slices(mode=mode, nf=0)
components = cell.components
x, y, z, w = cell.xyzw[0], cell.xyzw[1], cell.xyzw[2], cell.xyzw[3]
shape = [np.shape(q)[0] for q in [x,y,z]]
if code in 'PM':
sign = 1.0 if code=='P' else -1.0
signs=[+1.0,-1.0,+1.0*sign,-1.0*sign]
self.sim.sources+=[mp.Source(envelope, cell.components[3-nc],
cell.center, cell.size,
amplitude=signs[nc]*factor*qw,
amp_data=np.reshape(np.conj(EH[nc]),shape)
) for nc in range(len(components))
]
self.sim.force_complex_fields=True
def main():
# Some parameters to describe the geometry:
eps = 13 # dielectric constant of waveguide
w = 1.2 # width of waveguide
r = 0.36 # radius of holes
# The cell dimensions
sy = 12 # size of cell in y direction (perpendicular to wvg.)
dpml = 1 # PML thickness (y direction only!)
cell = mp.Vector3(1, sy)
b = mp.Block(size=mp.Vector3(mp.inf, w, mp.inf), material=mp.Medium(epsilon=eps))
c = mp.Cylinder(radius=r)
fcen = 0.25 # pulse center frequency
df = 1.5 # pulse freq. width: large df = short impulse
s = mp.Source(src=mp.GaussianSource(fcen, fwidth=df), component=mp.Hz,
center=mp.Vector3(0.1234))
sym = mp.Mirror(direction=mp.Y, phase=-1)
sim = mp.Simulation(cell_size=cell, geometry=[b, c], sources=[s], symmetries=[sym],
boundary_layers=[mp.PML(dpml, direction=mp.Y)], resolution=20)
kx = False # if true, do run at specified kx and get fields
k_interp = 19 # # k-points to interpolate, otherwise
if kx:
sim.k_point = mp.Vector3(kx)
sim.run(
mp.at_beginning(mp.output_epsilon),
mp.after_sources(mp.Harminv(mp.Hz, mp.Vector3(0.1234), fcen, df)),
until_after_sources=300
)
sim.run(mp.at_every(1 / fcen / 20, mp.output_hfield_z), until=1 / fcen)
else:
sim.run_k_points(300, mp.interpolate(k_interp, [mp.Vector3(), mp.Vector3(0.5)]))
def setUp(self):
resolution = 50
sxy = 4
dpml = 1
cell = mp.Vector3(sxy + 2 * dpml, sxy + 2 * dpml, 0)
pml_layers = mp.PML(dpml)
fcen = 1.0
df = 0.4
self.src_cmpt = mp.Ez
sources = mp.Source(
src=mp.GaussianSource(fcen, fwidth=df),
center=mp.Vector3(),
component=self.src_cmpt
)
if self.src_cmpt == mp.Ex:
symmetries = [mp.Mirror(mp.Y)]
elif self.src_cmpt == mp.Ey:
symmetries = [mp.Mirror(mp.X)]
elif self.src_cmpt == mp.Ez:
symmetries = [mp.Mirror(mp.X), mp.Mirror(mp.Y)]
self.sim = mp.Simulation(
cell_size=cell,
resolution=resolution,
sources=[sources],
symmetries=symmetries,
boundary_layers=[pml_layers]
)
self.nearfield = self.sim.add_near2far(
fcen,
0,
1,
mp.Near2FarRegion(mp.Vector3(0, 0.5 * sxy), size=mp.Vector3(sxy)),
mp.Near2FarRegion(mp.Vector3(0, -0.5 * sxy), size=mp.Vector3(sxy), weight=-1.0),
mp.Near2FarRegion(mp.Vector3(0.5 * sxy), size=mp.Vector3(0, sxy)),
mp.Near2FarRegion(mp.Vector3(-0.5 * sxy), size=mp.Vector3(0, sxy), weight=-1.0)
)
def setUp(self):
resolution = 20
cell = mp.Vector3(10, 10, 0)
pml_layers = mp.PML(1.0)
self.fcen = 1.0
df = 1.0
sources = mp.Source(src=mp.GaussianSource(self.fcen, fwidth=df), center=mp.Vector3(),
component=mp.Ez)
symmetries = [mp.Mirror(mp.X), mp.Mirror(mp.Y)]
self.sim = mp.Simulation(resolution=resolution,
cell_size=cell,
boundary_layers=[pml_layers],
sources=[sources],
symmetries=symmetries)
def main(args):
sx = 4.0 #spatial extent along x including pmls (μm)
sy = 4.0
sz = 4.0
dpml = 1.0
cell = mp.Vector3(sx, sy, sz)
pml_layers = [mp.PML(dpml)]
geometry = [
mp.Sphere(radius=0.7, center=mp.Vector3(0, 0, 0), material=Graph),
mp.Sphere(radius=0.5,
center=mp.Vector3(0, 0, 0),
material=mp.Medium(epsilon=12.25))
]
resolution = args.res
wvl = args.wvl / 1000 #convert args.wvl from nm to μm
fcen = 1 / wvl
df = 0.1 * fcen
nfreq = 1
print("wavelength =", wvl, "μm")
print("center frequency =", fcen, "1/μm")
source = [
mp.Source(mp.GaussianSource(fcen, df, nfreq),
component=mp.Ex,
center=mp.Vector3(0, 0.705, 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)
pt = mp.Vector3(0, 0.75, 0)
sim.run(mp.dft_ldos(fcen, df, nfreq),
until_after_sources=mp.stop_when_fields_decayed(
20, mp.Ex, pt, 1e-9))
def main():
n = 3.4 # index of waveguide
w = 1 # width of waveguide
r = 1 # inner radius of ring
pad = 4 # padding between waveguide and edge of PML
dpml = 2 # thickness of PML
sxy = 2 * (r + w + pad + dpml) # cell size
# Create a ring waveguide by two overlapping cylinders - later objects
# take precedence over earlier objects, so we put the outer cylinder first.
# and the inner (air) cylinder second.
c1 = mp.Cylinder(radius=r + w, material=mp.Medium(index=n))
c2 = mp.Cylinder(radius=r)
# If we don't want to excite a specific mode symmetry, we can just
# put a single point source at some arbitrary place, pointing in some
# arbitrary direction. We will only look for Ez-polarized modes.
fcen = 0.15 # pulse center frequency
df = 0.1 # pulse width (in frequency)
src = mp.Source(mp.GaussianSource(fcen, fwidth=df), mp.Ez, mp.Vector3(r + 0.1))
sim = mp.Simulation(cell_size=mp.Vector3(sxy, sxy),
geometry=[c1, c2],
sources=[src],
resolution=10,
symmetries=[mp.Mirror(mp.Y)],
boundary_layers=[mp.PML(dpml)])
sim.run(
mp.at_beginning(mp.output_epsilon),
mp.after_sources(mp.Harminv(mp.Ez, mp.Vector3(r + 0.1), fcen, df)),
until_after_sources=300
)
# Output fields for one period at the end. (If we output
# at a single time, we might accidentally catch the Ez field when it is
# almost zero and get a distorted view.)
sim.run(mp.at_every((1 / fcen / 20), mp.output_efield_z), until=(1 / fcen))
def setUp(self):
n = 3.4
w = 1
self.r = 1
pad = 4
dpml = 2
sr = self.r + w + pad + dpml
dimensions = mp.CYLINDRICAL
cell = mp.Vector3(sr, 0, 0)
m = 3
geometry = [
mp.Block(
center=mp.Vector3(self.r + (w / 2)),
size=mp.Vector3(w, mp.inf, mp.inf),
material=mp.Medium(index=n)
)
]
pml_layers = [mp.PML(dpml)]
resolution = 10
self.fcen = 0.15
self.df = 0.1
sources = [
mp.Source(
src=mp.GaussianSource(self.fcen, fwidth=self.df),
component=mp.Ez,
center=mp.Vector3(self.r + 0.1)
)
]
self.sim = mp.Simulation(
cell_size=cell,
geometry=geometry,
boundary_layers=pml_layers,
resolution=resolution,
sources=sources,
dimensions=dimensions,
m=m
)
def test_eigfreq(self):
w = 1.2 # width of waveguide
r = 0.36 # radius of holes
d = 1.4 # defect spacing (ordinary spacing = 1)
N = 3 # number of holes on either side of defect
sy = 6 # size of cell in y direction (perpendicular to wvg.)
pad = 2 # padding between last hole and PML edge
dpml = 1 # PML thickness
sx = 2 * (pad + dpml + N) + d - 1 # size of cell in x direction
geometry = [
mp.Block(size=mp.Vector3(mp.inf, w, mp.inf),
material=mp.Medium(epsilon=13))
]
for i in range(N):
geometry.append(mp.Cylinder(r, center=mp.Vector3(d / 2 + i)))
geometry.append(mp.Cylinder(r, center=mp.Vector3(-(d / 2 + i))))
fcen = 0.25
df = 0.2
src = [
mp.Source(mp.GaussianSource(fcen, fwidth=df),
component=mp.Hz,
center=mp.Vector3(0),
size=mp.Vector3(0, 0))
]
sim = mp.Simulation(
cell_size=mp.Vector3(sx, sy),
force_complex_fields=True,
geometry=geometry,
boundary_layers=[mp.PML(1.0)],
sources=src,
symmetries=[mp.Mirror(mp.X, phase=-1),
mp.Mirror(mp.Y, phase=-1)],
resolution=20)
sim.init_sim()
eigfreq = sim.solve_eigfreq(tol=1e-6)
self.assertAlmostEqual(eigfreq.real, 0.23445413142440263, places=5)
self.assertAlmostEqual(eigfreq.imag, -0.0003147775697388, places=5)
def init_simple_simulation(self, **kwargs):
resolution = 20
cell = mp.Vector3(10, 10)
pml_layers = mp.PML(1.0)
fcen = 1.0
df = 1.0
sources = mp.Source(src=mp.GaussianSource(fcen, fwidth=df), center=mp.Vector3(),
component=mp.Ez)
symmetries = [mp.Mirror(mp.X), mp.Mirror(mp.Y)]
return mp.Simulation(resolution=resolution,
cell_size=cell,
boundary_layers=[pml_layers],
sources=[sources],
symmetries=symmetries,
**kwargs)
def setUp(self):
cell = mp.Vector3(1, 12)
b = mp.Block(size=mp.Vector3(1e20, 1.2, 1e20),
material=mp.Medium(epsilon=13))
c = mp.Cylinder(0.36)
self.fcen = 0.25
self.df = 1.5
s = mp.Source(src=mp.GaussianSource(self.fcen, fwidth=self.df),
component=mp.Hz,
center=mp.Vector3(0.1234))
sym = mp.Mirror(direction=mp.Y, phase=-1)
self.sim = mp.Simulation(cell_size=cell,
geometry=[b, c],
sources=[s],
symmetries=[sym],
boundary_layers=[mp.PML(1, direction=mp.Y)],
resolution=20)
def createDiffractionSlit():
cell = mp.Vector3(globalVariables.waveguideXSize, globalVariables.waveguideYSize, 0)
geometry = [mp.Block(mp.Vector3(1e20, 1, 1e20),
center=mp.Vector3(0, 0),
material=mp.Medium(epsilon=globalVariables.epsilonOfMaterial)),
mp.Block(mp.Vector3(globalVariables.blockXSize,globalVariables.blockYSize,0),
center=mp.Vector3(0,(globalVariables.blockYSize-globalVariables.waveguideYSize)/2.0,0),
material=mp.Medium(epsilon=globalVariables.epsilonOfBoundary)),
mp.Block(mp.Vector3(globalVariables.blockXSize,globalVariables.blockYSize,0),
center=mp.Vector3(0,(globalVariables.waveguideYSize-globalVariables.blockYSize)/2.0,0),
material=mp.Medium(epsilon=globalVariables.epsilonOfBoundary))]
sources = [mp.Source(mp.ContinuousSource(frequency=0.15),
component=mp.Ez,
center=mp.Vector3(-globalVariables.waveguideXSize/2+1,0,0))]
pml_layers = [mp.PML(1.0)]
return cell,geometry,sources,pml_layers
def test_physical(self):
a = 10.0
ymax = 3.0
xmax = 8.0
dx = 2.0
w = 0.30
cell_size = mp.Vector3(xmax, ymax)
pml_layers = [mp.PML(ymax / 3.0)]
sources = [
mp.Source(src=mp.ContinuousSource(w),
component=mp.Ez,
center=mp.Vector3(-dx),
size=mp.Vector3())
]
sim = mp.Simulation(cell_size=cell_size,
resolution=a,
boundary_layers=pml_layers,
sources=sources,
force_complex_fields=True)
sim.init_sim()
sim.solve_cw(tol=1e-5 if mp.is_single_precision() else 1e-6)
p1 = mp.Vector3()
p2 = mp.Vector3(dx)
amp1 = sim.get_field_point(mp.Ez, p1)
amp2 = sim.get_field_point(mp.Ez, p2)
ratio = abs(amp1) / abs(amp2)
ratio = ratio**2 # in 2d, decay is ~1/sqrt(r), so square to get 1/r
fail_fmt = "Failed: amp1 = ({}, {}), amp2 = ({}, {})\nabs(amp1/amp2){} = {}, too far from 2.0"
fail_msg = fail_fmt.format(amp1.real, amp1, amp2.real, amp2, "^2",
ratio)
self.assertTrue(ratio <= 2.12 and ratio >= 1.88, fail_msg)
def main(args):
resolution = 20 # 20 pixels per unit 1 um
eps = 80 # epsilon of cylinder medium
Mat1 = mp.Medium(epsilon=eps) # definition of the material
dimensions = mp.CYLINDRICAL
r = args.r # the value of cylinder radius
rl = args.rl # the r/l ration is given, to obtain the l value l=r/rl
x = args.x
dpml = args.dpml
dair = args.dair
m=args.m
w=1*x
h = r/rl # the height of the cylinder
sr = r + dair + dpml
sz = h + 2*dair + 2*dpml
w_max=1.8
w_min=0.2
dw=w_max-w_min
boundary_layers = [mp.PML(dpml)]
Cyl = mp.Cylinder(material=Mat1, radius=r, height=h, center=mp.Vector3(0,0,0)) # make a cylinder with given parameters
geometry = [Cyl]
cell_size = mp.Vector3(sr,0,sz)
#sources = [ mp.Source(mp.ContinuousSource(frequency = w), component=mp.Hz, center=mp.Vector3(r+dair,0,0)) ]
sources = [mp.Source(mp.GaussianSource(w, fwidth=dw), component=mp.Hz, center=mp.Vector3(r+dair,0,0))]
sim = mp.Simulation(resolution=resolution,
cell_size=cell_size,
boundary_layers=boundary_layers,
geometry=geometry,
sources=sources,
dimensions=dimensions,
m=m)
sim.run(mp.in_volume(mp.Volume(center=mp.Vector3(), size=mp.Vector3(sr,0,sz)),
mp.at_end(mp.output_epsilon, mp.output_efield_z)),
mp.after_sources(mp.Harminv(mp.Hz, mp.Vector3(), w, dw)),
until_after_sources=100)
def test_integrated_source(self):
sources = [
mp.Source(mp.ContinuousSource(1, is_integrated=True),
center=mp.Vector3(-2),
size=mp.Vector3(y=6),
component=mp.Ez)
]
sim = mp.Simulation(resolution=20,
cell_size=(6, 6),
boundary_layers=[mp.PML(thickness=1)],
sources=sources,
k_point=mp.Vector3())
sim.run(until=30)
# field in mid-plane should be nearly constant,
# so compute its normalized std. dev. and check << 1
ez = sim.get_array(mp.Ez, center=mp.Vector3(2), size=mp.Vector3(y=6))
std = np.std(ez) / np.sqrt(np.mean(ez**2))
print("std = ", std)
self.assertAlmostEqual(std,
0.0,
places=4 if mp.is_single_precision() else 8)
def test_geometry_center(self):
resolution = 20
cell_size = mp.Vector3(10, 10)
pml = [mp.PML(1)]
center = mp.Vector3(2, -1)
result = []
fcen = 0.15
df = 0.1
sources = [mp.Source(src=mp.GaussianSource(fcen, fwidth=df), component=mp.Ez,
center=mp.Vector3())]
geometry = [mp.Block(center=mp.Vector3(), size=mp.Vector3(mp.inf, 3, mp.inf),
material=mp.Medium(epsilon=12))]
def print_field(sim):
result.append(sim.get_field_point(mp.Ez, mp.Vector3(2, -1)))
sim = mp.Simulation(resolution=resolution, cell_size=cell_size, boundary_layers=pml,
sources=sources, geometry=geometry, geometry_center=center)
sim.run(mp.at_end(print_field), until=50)
self.assertAlmostEqual(result[0], -0.0599602798684155)
def test_load_dump_structure(self):
resolution = 10
cell = mp.Vector3(10, 10)
pml_layers = mp.PML(1.0)
fcen = 1.0
df = 1.0
sources = mp.Source(src=mp.GaussianSource(fcen, fwidth=df),
center=mp.Vector3(),
component=mp.Hz)
geometry = mp.Cylinder(0.2, material=mp.Medium(index=3))
sim = mp.Simulation(resolution=resolution,
cell_size=cell,
default_material=mp.Medium(index=1),
geometry=[geometry],
boundary_layers=[pml_layers],
sources=[sources])
sim.run(until=200)
ref_field = sim.get_field_point(mp.Hz, mp.Vector3(z=2))
dump_fn = 'test_load_dump_structure.h5'
sim.dump_structure(dump_fn)
sim = mp.Simulation(resolution=resolution,
cell_size=cell,
default_material=mp.Medium(index=1),
geometry=[],
boundary_layers=[pml_layers],
sources=[sources],
load_structure=dump_fn)
sim.run(until=200)
field = sim.get_field_point(mp.Hz, mp.Vector3(z=2))
self.assertAlmostEqual(ref_field, field)
mp.all_wait()
if mp.am_master():
os.remove(dump_fn)