Jb. Morris et al., A HOMOMORPHIC FILTERING METHOD FOR IMAGING STRONGLY SCATTERING PENETRABLE OBJECTS, IEEE transactions on antennas and propagation, 43(10), 1995, pp. 1029-1035
This paper describes a new method for determining the structure of str
ongly scattering penetrable objects having permittivity fluctuations w
ith scales comparable to the illuminating wavelength. We are concerned
with the case when small wavelength or weakly scattering approximatio
ns, such as the Born or distorted wave Born approximations, or slowly
varying approximations such as the Rytov approximation, are not valid,
The problem is formulated as one of recovering, in principle, a quant
itative image of the object's permittivity distribution function from
a set of perturbed images, Each perturbed image is obtained by backpro
pagating the scattered field measured around the object for different
illumination directions. These backpropagated images are filtered in t
he differential cepstral domain to recover the object permittivity dis
tribution, and we show reconstructions from both simulated and real mi
crowave scattered data.