Inverse scattering of Hz waves using local shape-function imaging: a T-matrix formulation

Abstract

Inverse scattering algorithms for Hz polarized waves are scarce, due to the added difficulties of polarization charges. Nevertheless, the polarization charges cannot be ignored for 3D problems, as well as for 2D Hz problems. This work aims to reconstruct arbitrary inhomogeneous dielectric objects from Hz scattering data using a new formulation that abandons the standard integral equation model for a T-matrix model. This new algorithm, called local shape-function (LSF) imaging, is modified for dielectric objects with Hz incident fields, where previously the LSF algorithm was applied to metallic objects with Ez incident fields. The advantage of the LSF algorithm is a more accurate modeling of the induced interfacial polarization charges. For comparison, the Hz distorted Born iterative method using integral equations is shown to be valid only for small contrasts, while the LSF algorithm converges for much larger dielectric contrasts.