A multi-focusing contrast source Bayesian compressive method for solving inverse scattering problems

This work presents a novel inverse scattering (IS) methodology to deal with the retrieval of the electromagnetic (EM) properties of unknown scatterers. The proposed technique is based on the effective combination of a customized Bayesian compressive sensing (BCS) solver with the iterative multi-scaling approach (IMSA). Accordingly, alpha-priori information on the class of imaged targets as well as progressively acquired information on their location and size is exploited to yield accurate and robust reconstructions. Moreover, a contrast source inversion (CSI) formulation is adopted in order to enable the retrieval of non-Born scatterers. Numerical results are shown to verify the effectiveness of the proposed IMSA-BCS-CSI method, as well as to compare it with state-of-the-art alternatives.