Compressive Sensing-Based Born Iterative Method for Tomographic Imaging

Abstract

The problem of imaging nonweak scatterers in the compressive sensing (CS) framework, without recurring to the contrast-source formulation, is addressed by means of an innovative hybrid born iterative CS method (BI-CSM). Toward this end, the born iterative (BI) formulation of the nonlinear inverse scattering equations is adopted and a customized version of the CS-based inversion is implemented to retrieve the target contrast while estimating the electric field distribution without recurring to time-expensive full-wave simulations. The selected numerical and experimental results, drawn from a wide validation, are presented to illustrate the procedural steps of the BI-CSM and to assess, also comparatively, the features, the potentialities, and the limitations of the proposed inversion technique.