def test_eigenmask1(self):
m = wave.eigenmask((1, 13), (1, 2), betamax=1.5)
m1 = wave.eigenmask1(13, (1, 2), betamax=1.5)
self.allclose(m[:, 0, :], m1)
m = wave.eigenmask((1, 13), 2, betamax=1.5)
m1 = wave.eigenmask1(13, 2, betamax=1.5)
self.allclose(m[0, :], m1)
m = wave.eigenmask((1, 13), 2, betamax=1.5)
m1 = wave.eigenmask1(13, 2, betamax=1.5)
self.allclose(m[0, :], m1)
def test_mask2indices1(self):
mask = wave.eigenmask((1, 12), (1, 2), betamax=1.8)
indices = wave.mask2indices(mask, (1, 2))
mask1 = wave.eigenmask1(12, (1, 2), betamax=1.8)
indices1 = wave.mask2indices1(mask1, (1, 2))
self.allclose(indices[0][..., 1], indices1[0])
self.allclose(indices[1][..., 1], indices1[1])
mask = wave.eigenmask((1, 12), 2, betamax=1.8)
indices = wave.mask2indices(mask, 2)
mask1 = wave.eigenmask1(12, 2, betamax=1.8)
indices1 = wave.mask2indices1(mask1, 2)
self.allclose(indices[..., 1], indices1)
def test_mask2betax1(self):
mask = wave.eigenmask((12, 1), (1, 2), 1.8)
beta = wave.mask2beta(mask, (1, 2))
mask1 = wave.eigenmask1(12, (1, 2), 1.8)
betax1 = wave.mask2betax1(mask1, (1, 2))
self.allclose(beta[0], np.abs(betax1[0]))
self.allclose(beta[1], np.abs(betax1[1]))
mask = wave.eigenmask((12, 1), 2, 1.8)
beta = wave.mask2beta(mask, 2)
mask1 = wave.eigenmask1(12, 2, 1.8)
betax1 = wave.mask2betax1(mask1, 2)
self.allclose(beta, np.abs(betax1))
def test_mask2indices(self):
mask = wave.eigenmask((4, 3), (1, 2), 1.8)
indices = wave.mask2indices(mask, (1, 2))
self.allclose(indices[0], self.eigenindices[0])
self.allclose(indices[1], self.eigenindices[1])
indices = wave.mask2indices(mask[1], 2)
self.allclose(indices, self.eigenindices[1])
def test_mask2beta(self):
mask = wave.eigenmask((4, 3), (1, 2), 1.8)
beta = wave.mask2beta(mask, (1, 2))
self.allclose(beta[0], self.beta[0][mask[0]])
self.allclose(beta[1], self.beta[1][mask[1]])
beta = wave.mask2beta(mask[1], 2)
self.allclose(beta, self.beta[1][mask[1]])
self.isfloat(beta)
def test_mask2phi(self):
mask = wave.eigenmask((4, 3), (1, 2), 1.8)
phi = wave.mask2phi(mask, (1, 2))
self.allclose(phi[0], self.phi[mask[0]])
self.allclose(phi[1], self.phi[mask[1]])
phi = wave.mask2phi(mask[1], 2)
self.allclose(phi, self.phi[mask[1]])
self.isfloat(phi)
def ffield2modes(ffield, k0, betamax=BETAMAX):
k0 = np.asarray(k0)
mask = eigenmask(ffield.shape[-2:], k0, betamax)
if k0.ndim == 0:
return mask, np.moveaxis(ffield[..., mask], -2, -1)
else:
return mask, tuple((np.moveaxis(ffield[..., i, :, :, :][..., mask[i]],
-2, -1) for i in range(len(k0))))
def layer_mat3d(k0, d, epsv, epsa, mask=None, method="4x4"):
"""Computes characteristic matrix of a single layer M=F.P.Fi,
Numpy broadcasting rules apply
Parameters
----------
k0 : float or sequence of floats
A scalar or a vector of wavenumbers
d : array_like
Layer thickness
epsv : array_like
Epsilon eigenvalues.
epsa : array_like
Optical axes orientation angles (psi, theta, phi).
method : str, optional
Either a 4x4 or 4x4_1
Returns
-------
cmat : ndarray
Characteristic matrix of the layer.
"""
if method not in ("4x4", "4x4_1", "2x2"):
raise ValueError("Unsupported method: '{}'".format(method))
k0 = np.asarray(k0)
shape = epsv.shape[-3], epsv.shape[-2]
if mask is None:
mask = eigenmask(shape, k0)
betas = eigenbeta(shape, k0)
phis = eigenphi(shape, k0)
indices = eigenindices(shape, k0)
else:
betas = mask2beta(mask, k0)
phis = mask2phi(mask, k0)
indices = mask2indices(mask, k0)
if k0.ndim == 0:
return _layer_mat3d(k0, d, epsv, epsa, mask, betas, phis, indices,
method)
else:
out = (_layer_mat3d(k0[i], d, epsv, epsa, mask[i], betas[i], phis[i],
indices[i], method) for i in range(len(k0)))
return tuple(out)
def field2modes(field, k0, betamax=BETAMAX):
"""Converts 2D field array to modes array.
Parameters
----------
field : ndarray or tuple of ndarrays
Input field array (or tuple of input fields for each wavenumber). The
shape of the input arrays must be (...,4,:,:) representing.
k0 : float or a sequence of floats
Defines the wavenumber. Fol multi-wavelength data, this must be a
sequence of wawenumbers
betamax : float, optional
The beta cutoff parameter.
Returns
-------
mask, modes : ndarray, ndarray or ndarray, tuple of ndarrays
For a single-wavelength data it returns the mask array specifying
the mode indices and modes coefficients array. For multi-wavelength data
the modes is a tuple of ndarrays for each of the wavelengths. Length
of the mask in this case equals length of the wavenumbers.
"""
if isinstance(field, tuple):
out = tuple(
(field2modes(field[i], k0[i], betamax) for i in range(len(field))))
mask = tuple(o[0] for o in out)
modes = tuple(o[1] for o in out)
return mask, modes
f = fft2(field)
k0 = np.asarray(k0)
mask = eigenmask(f.shape[-2:], k0, betamax)
if k0.ndim == 0:
return mask, np.moveaxis(f[..., mask], -2, -1)
else:
return mask, tuple((np.moveaxis(f[..., i, :, :, :][..., mask[i]], -2,
-1) for i in range(len(k0))))
def test_eigenmask(self):
m = self.beta < 1.8
out = wave.eigenmask(self.shape, self.ks, betamax=1.8)
self.allclose(out, m)
def _field2modes(field, k0, betamax=BETAMAX):
f = fft2(field)
mask = eigenmask(f.shape[-2:], k0, betamax)
f = f[mask]
return np.moveaxis(f, -2, -1)
