Nonlinear Filtering Applied to Single-view Backpropagated Images of Strongly Scattering Objects

Abstract

In this paper, we are concerned with characterizing the internal structure of 2D strongly scattering objects, using a single illumination direction or view and constant wavenumber k0 = 2π / λ0. The object is illuminated with the plane wave eik0r^ i ⋅r and simulated scattered far-fields are calculated on a circular aperture in the plane of the object's cross section. A differential cepstral filter is applied to a single-view backpropagated image which relates to the product of the scattering potential and the total field. This nonlinear filter avoids the phase wrapping problems associated with homomorphic filtering, and is used to isolate the scattering potential from single-view backpropagated images.