Abstract

In this paper, a family of difference integral equations, i.e., difference Lippmann-Schwinger integral equation (D-LSIE), is proposed to solve the the electromagnetic inverse scattering problems (ISPs) with inhomogeneous background medium. In the frame of the differential integral equation methods, the D-LSIE equipped with distorted-Born iterative method (DBIM) and the truanted singular value decomposition (TSVD), is used to solve the inhomogeneous ISPs. With the regularization of TSVD, Tikhonov regularization is not included in the cost function such that the method proposed avoid to choose a proper Tikhonov regularization parameter. The synthetic data illustrate the efficacy of the new inversion method.

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