def HzKernel_layer(self, lamda, f, nlay, sig, chi, depth, h, z, flag):
"""
Kernel for vertical magnetic component (Hz) due to vertical magnetic
diopole (VMD) source in (kx,ky) domain
"""
u0 = lamda
rTE = np.zeros(lamda.size, dtype=complex)
if self.jacSwitch == True:
drTE = np.zeros((nlay, lamda.size), dtype=complex)
rTE, drTE = rTEfunjac(nlay, f, lamda, sig, chi, depth, self.survey.HalfSwitch)
else:
rTE = rTEfunfwd(nlay, f, lamda, sig, chi, depth, self.survey.HalfSwitch)
if flag=='secondary':
# Note
# Here only computes secondary field.
# I am not sure why it does not work if we add primary term.
# This term can be analytically evaluated, where h = 0.
kernel = 1/(4*np.pi)*(rTE*np.exp(-u0*(z+h)))*lamda**3/u0
else:
kernel = 1/(4*np.pi)*(np.exp(u0*(z-h))+ rTE*np.exp(-u0*(z+h)))*lamda**3/u0
if self.jacSwitch == True:
jackernel = 1/(4*np.pi)*(drTE)*(np.exp(-u0*(z+h))*lamda**3/u0)
Kernel = []
Kernel.append(kernel)
Kernel.append(jackernel)
else:
Kernel = kernel
return Kernel
def HzkernelCirc_layer(self, lamda, f, nlay, sig, chi, depth, h, z, I, a, flag):
"""
Kernel for vertical magnetic component (Hz) at the center
due to circular loop source in (kx,ky) domain
.. math::
H_z = \\frac{Ia}{2} \int_0^{\infty} [e^{-u_0|z+h|} + r_{TE}e^{u_0|z-h|}] \\frac{\lambda^2}{u_0} J_1(\lambda a)] d \lambda
"""
w = 2*np.pi*f
rTE = np.zeros(lamda.size, dtype=complex)
u0 = lamda
if self.jacSwitch == True:
drTE = np.zeros((nlay, lamda.size), dtype=complex)
rTE, drTE = rTEfunjac(nlay, f, lamda, sig, chi, depth, self.survey.HalfSwitch)
else:
rTE = rTEfunfwd(nlay, f, lamda, sig, chi, depth, self.survey.HalfSwitch)
if flag == 'secondary':
kernel = I*a*0.5*(rTE*np.exp(-u0*(z+h)))*lamda**2/u0
else:
kernel = I*a*0.5*(np.exp(u0*(z-h))+rTE*np.exp(-u0*(z+h)))*lamda**2/u0
if self.jacSwitch == True:
jackernel = I*a*0.5*(drTE)*(np.exp(-u0*(z+h))*lamda**2/u0)
Kernel = []
Kernel.append(kernel)
Kernel.append(jackernel)
else:
Kernel = kernel
return Kernel