A Novel Microwave Imaging Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background

摘要

In this paper, a solution for solving the electromagnetic inverse scattering problems (ISPs) is proposed to reconstruct the unknown targets embedded in an inhomogeneous background medium. We treat inhomogeneous background bounded in a finite domain as a known scatterer, which has the advantage of avoiding the time-consuming calculation of inhomogeneous background Green’s function. Under this scheme, a new approach based on difference integral equation model, i.e., difference Lippmann-Schwinger integral equation (D-LSIE), with Levenberg-Marquardt (LM) algorithm is proposed and the generalized cross-validation (GCV) regularization technique is used to solve the inhomogeneous ISPs. The synthetic tests illustrate the efficacy of the new inversion method.