def propagate_2x2_effective_2(field,
wavenumbers,
layer_in,
layer_out,
effective_layer_in,
effective_layer_out,
beta=0,
phi=0,
nsteps=1,
diffraction=True,
split_diffraction=False,
reflection=True,
betamax=BETAMAX,
mode=+1,
refl=None,
bulk=None,
out=None,
tmpdata=None):
shape = field.shape[-2:]
d_eff, epsv_eff, epsa_eff = effective_layer_out
if diffraction <= 1:
if diffraction:
dmat = corrected_E_diffraction_matrix(shape,
wavenumbers,
beta,
phi,
d=d_eff,
epsv=epsv_eff,
epsa=epsa_eff,
mode=mode,
betamax=betamax)
else:
dmat = None
return _transfer_ray_2x2_2(field,
wavenumbers,
layer_in,
layer_out,
dmat=dmat,
beta=beta,
phi=phi,
nsteps=nsteps,
reflection=reflection,
betamax=betamax,
mode=mode,
refl=refl,
bulk=bulk,
out=out,
tmpdata=tmpdata)
else:
fout = 0.
fpart = None
ffield = fft2(field)
if refl is not None:
frefl = fft2(refl)
_refl = 0.
else:
_refl = None
try:
broadcast_shape = beta.shape
beta = beta[..., 0]
phi = phi[..., 0]
except IndexError:
broadcast_shape = ()
windows, (betas, phis) = fft_mask(field.shape,
wavenumbers,
int(diffraction),
betax_off=beta * np.cos(phi),
betay_off=beta * np.sin(phi),
betamax=betamax)
n = len(windows)
betas = betas.reshape((n, ) + broadcast_shape)
phis = phis.reshape((n, ) + broadcast_shape)
if split_diffraction == False:
dmats = corrected_E_diffraction_matrix(shape,
wavenumbers,
betas,
phis,
d=d_eff,
epsv=epsv_eff,
epsa=epsa_eff,
mode=mode,
betamax=betamax)
idata = zip(windows, betas, phis, dmats)
else:
idata = zip(windows, betas, phis)
for data in idata:
if split_diffraction == False:
window, beta, phi, dmat = data
else:
window, beta, phi = data
dmat = corrected_E_diffraction_matrix(shape,
wavenumbers,
beta,
phi,
d=d_eff,
epsv=epsv_eff,
epsa=epsa_eff,
mode=mode,
betamax=betamax)
fpart = np.multiply(ffield, window, out=fpart)
fpart_re = ifft2(fpart, out=fpart)
if refl is not None:
reflpart = frefl * window
reflpart_re = ifft2(reflpart)
else:
reflpart_re = None
_out, __refl = _transfer_ray_2x2_2(fpart_re,
wavenumbers,
layer_in,
layer_out,
dmat=dmat,
beta=beta,
phi=phi,
nsteps=nsteps,
betamax=betamax,
reflection=reflection,
mode=mode,
bulk=bulk,
out=out,
refl=reflpart_re,
tmpdata=tmpdata)
fout += _out
if refl is not None and reflection != 0:
_refl += __refl
if out is not None:
out[...] = fout
else:
out = fout
if refl is not None:
refl[...] = _refl
return out, refl
def propagate_4x4_effective_3(field,
wavenumbers,
layer,
effective_layer,
beta=0,
phi=0,
nsteps=1,
diffraction=True,
betamax=BETAMAX,
out=None):
d_eff, epsv_eff, epsa_eff = effective_layer
if diffraction == 1:
dmat1 = second_field_diffraction_matrix(field.shape[-2:],
wavenumbers,
beta,
phi,
d_eff / 2,
epsv=epsv_eff,
epsa=epsa_eff,
betamax=betamax)
dmat2 = first_field_diffraction_matrix(field.shape[-2:],
wavenumbers,
beta,
phi,
d_eff / 2,
epsv=epsv_eff,
epsa=epsa_eff,
betamax=betamax)
return _transfer_ray_4x4_3(field,
wavenumbers,
layer,
dmat1,
dmat2,
beta=beta,
phi=phi,
nsteps=nsteps,
betamax=betamax,
out=out)
elif diffraction > 1:
fout = np.zeros_like(field)
_out = None
try:
broadcast_shape = beta.shape
beta = beta[..., 0]
phi = phi[..., 0]
except IndexError:
broadcast_shape = ()
windows, (betas, phis) = fft_mask(field.shape,
wavenumbers,
int(diffraction),
betax_off=beta * np.cos(phi),
betay_off=beta * np.sin(phi),
betamax=betamax)
n = len(windows)
betas = betas.reshape((n, ) + broadcast_shape)
phis = phis.reshape((n, ) + broadcast_shape)
dmats1 = second_field_diffraction_matrix(field.shape[-2:],
wavenumbers,
betas,
phis,
d_eff / 2,
epsv=epsv_eff,
epsa=epsa_eff,
betamax=betamax)
dmats2 = first_field_diffraction_matrix(field.shape[-2:],
wavenumbers,
betas,
phis,
d_eff / 2,
epsv=epsv_eff,
epsa=epsa_eff,
betamax=betamax)
for window, beta, phi, dmat1, dmat2 in zip(windows, betas, phis,
dmats1, dmats2):
fpart = np.multiply(field, window, out=_out)
_out = _transfer_ray_4x4_3(fpart,
wavenumbers,
layer,
dmat1,
dmat2,
beta=beta,
phi=phi,
nsteps=nsteps,
betamax=betamax,
out=_out)
fout = np.add(fout, _out, out=fout)
# for window, b, p in zip(windows, betas, phis):
# fpart = np.multiply(field, window, out = _out)
#
# beta = b.reshape(broadcast_shape)
# phi = p.reshape(broadcast_shape)
#
# dmat1 = second_field_diffraction_matrix(field.shape[-2:], wavenumbers, beta, phi,d_eff/2, epsv = epsv_eff,
# epsa = epsa_eff,betamax = betamax)
# dmat2 = first_field_diffraction_matrix(field.shape[-2:], wavenumbers, beta, phi,d_eff/2, epsv = epsv_eff,
# epsa = epsa_eff,betamax = betamax)
#
# _out = _transfer_ray_4x4_1(fpart, wavenumbers, layer, dmat1,dmat2,
# beta = beta, phi = phi, nsteps = nsteps,
# betamax = betamax, out = _out,_reuse = _reuse)
# fout = np.add(fout, _out, out = fout)
if out is not None:
out[...] = fout
else:
out = fout
return out
def propagate_2x2_effective_1(field,
wavenumbers,
layer_in,
layer_out,
effective_layer_in,
effective_layer_out,
beta=0,
phi=0,
nsteps=1,
diffraction=True,
reflection=True,
betamax=BETAMAX,
mode=+1,
tmpdata=None,
split_diffraction=False,
refl=None,
bulk=None,
out=None):
d_out, epsv_out, epsa_out = effective_layer_out
shape = field.shape[-2:]
if diffraction <= 1:
if diffraction == 1:
dmat1 = first_E_diffraction_matrix(shape,
wavenumbers,
beta,
phi,
d_out / 2,
epsv=epsv_out,
epsa=epsa_out,
mode=mode,
betamax=betamax)
dmat2 = second_E_diffraction_matrix(shape,
wavenumbers,
beta,
phi,
d_out / 2,
epsv=epsv_out,
epsa=epsa_out,
mode=mode,
betamax=betamax)
else:
dmat1, dmat2 = None, None
return _transfer_ray_2x2_1(field,
wavenumbers,
layer_out,
effective_layer_in,
effective_layer_out,
dmat1,
dmat2,
beta=beta,
phi=phi,
nsteps=nsteps,
reflection=reflection,
betamax=betamax,
mode=mode,
refl=refl,
bulk=bulk,
out=out,
tmpdata=tmpdata)
elif diffraction > 1:
fout = np.zeros_like(field)
reflpart = None
fpart = None
_out = None
if refl is not None:
_refl = np.zeros_like(refl)
else:
_refl = None
try:
broadcast_shape = beta.shape
beta = beta[..., 0]
phi = phi[..., 0]
except IndexError:
broadcast_shape = ()
windows, (betas, phis) = fft_mask(field.shape,
wavenumbers,
int(diffraction),
betax_off=beta * np.cos(phi),
betay_off=beta * np.sin(phi),
betamax=betamax)
n = len(windows)
betas = betas.reshape((n, ) + broadcast_shape)
phis = phis.reshape((n, ) + broadcast_shape)
if split_diffraction == False:
dmats1 = first_E_diffraction_matrix(shape,
wavenumbers,
betas,
phis,
d_out / 2,
epsv=epsv_out,
epsa=epsa_out,
mode=mode,
betamax=betamax)
dmats2 = second_E_diffraction_matrix(shape,
wavenumbers,
betas,
phis,
d_out / 2,
epsv=epsv_out,
epsa=epsa_out,
mode=mode,
betamax=betamax)
idata = zip(windows, betas, phis, dmats1, dmats2)
else:
idata = zip(windows, betas, phis)
for data in idata:
if split_diffraction == False:
window, beta, phi, dmat1, dmat2 = data
else:
window, beta, phi = data
dmat1 = first_E_diffraction_matrix(shape,
wavenumbers,
beta,
phi,
d_out / 2,
epsv=epsv_out,
epsa=epsa_out,
mode=mode,
betamax=betamax)
dmat2 = second_E_diffraction_matrix(shape,
wavenumbers,
beta,
phi,
d_out / 2,
epsv=epsv_out,
epsa=epsa_out,
mode=mode,
betamax=betamax)
fpart = np.multiply(field, window, out=fpart)
if refl is not None:
reflpart = np.multiply(refl, window, out=reflpart)
else:
reflpart = None
_out, __refl = _transfer_ray_2x2_1(fpart,
wavenumbers,
layer_out,
effective_layer_in,
effective_layer_out,
dmat1,
dmat2,
beta=beta,
phi=phi,
nsteps=nsteps,
reflection=reflection,
betamax=betamax,
mode=mode,
bulk=bulk,
out=_out,
refl=reflpart,
tmpdata=tmpdata)
np.add(fout, _out, fout)
if refl is not None and reflection != 0:
np.add(_refl, __refl, out=_refl)
if out is not None:
out[...] = fout
else:
out = fout
if refl is not None:
refl[...] = _refl
return out, refl
def propagate_4x4_effective_4(field,
wavenumbers,
layer,
effective_layer,
beta=0,
phi=0,
nsteps=1,
diffraction=True,
betamax=BETAMAX,
out=None):
d_eff, epsv_eff, epsa_eff = effective_layer
if diffraction <= 1:
if diffraction != 0:
dmat = corrected_field_diffraction_matrix(field.shape[-2:],
wavenumbers,
beta,
phi,
d=d_eff,
epsv=epsv_eff,
epsa=epsa_eff,
betamax=betamax)
else:
dmat = None
return _transfer_ray_4x4_4(field,
wavenumbers,
layer,
beta=beta,
phi=phi,
nsteps=nsteps,
dmat=dmat,
out=out)
else:
fout = np.zeros_like(field)
_out = None
field = fft2(field)
try:
broadcast_shape = beta.shape
beta = beta[..., 0]
phi = phi[..., 0]
except IndexError:
broadcast_shape = ()
windows, (betas, phis) = fft_mask(field.shape,
wavenumbers,
int(diffraction),
betax_off=beta * np.cos(phi),
betay_off=beta * np.sin(phi),
betamax=betamax)
n = len(windows)
betas = betas.reshape((n, ) + broadcast_shape)
phis = phis.reshape((n, ) + broadcast_shape)
if diffraction != 0:
dmats = corrected_field_diffraction_matrix(field.shape[-2:],
wavenumbers,
betas,
phis,
d=d_eff,
epsv=epsv_eff,
epsa=epsa_eff)
else:
dmats = [None] * n
for window, b, p, dmat in zip(windows, betas, phis, dmats):
fpart = np.multiply(field, window, out=_out)
fpart_re = ifft2(fpart, out=fpart)
_out = _transfer_ray_4x4_4(fpart_re,
wavenumbers,
layer,
beta=b,
phi=p,
nsteps=nsteps,
dmat=dmat)
fout = np.add(fout, _out, out=fout)
# for window, b, p in zip(windows, betas, phis):
# fpart = field * window
# fpart_re = ifft2(fpart)
#
# b = b.reshape(beta_shape)
# p = p.reshape(beta_shape)
#
# if diffraction != 0:
# dmat = corrected_field_diffraction_matrix(field.shape[-2:], wavenumbers, b,p, d=d_eff,
# epsv = epsv_eff, epsa = epsa_eff)
# else:
# dmat = None
#
# _out = _transfer_ray_4x4_2(fpart_re, wavenumbers, layer,
# beta = b, phi = p, nsteps = nsteps,
# dmat = dmat,_reuse = _reuse)
# fout += _out
if out is not None:
out[...] = fout
else:
out = fout
return out
