A HOMOMORPHIC FILTERING METHOD FOR IMAGING STRONGLY SCATTERING PENETRABLE OBJECTS

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.