Propagating beam frame: A novel formulation for local inverse scattering

Abstract

We present a novel strategy for tomographic inverse scattering using beam-waves processing. The theory utilizes a discrete phase-space set of beam waves, which constitutes an overcomplete frame everywhere in space, and thus can be considered as a local alternative to the conventional plane-wave or Green's function expansion sets used in the conventional theory. Specifically, we consider an ultra wide band (UWB) inversion scheme that is formulated either in the multi-frequency domain or in the the short-pulse time domain. Accordingly, the processing is performed using either a phase-space set of isodiffracting Gaussian beams (ID-GB), or a set of isodiffracting pulsed beam (ID-PB).