A Mixed Boundary through Wall Imaging Problem

The study of through wall imaging problem is of great interest in the fleld of security check and the anti-terrorism. In most literatures, the wall and the unknown scatterers are both assumed to be dielectric implicitly, while the problem of mixture of PEC and dielectric is not often addressed yet, which is a more commonly encountered case. Therefore, in this article, we mainly discuss the reconstruction algorithm of PEC and dielectric scatterers together under the circumstance of through wall imaging. The T-matrix method is chosen as the modelling scheme. According to a recently published paper by the author, it is able to distinguish the PEC and dielectric scatterer simultaneously when the two kinds of scatterers coexist in the domain of interest. The optimization scheme is developed based on the subspace based optimization method, where the wall (obstacle) is considered as a known scatterer rather than part of the inhomogeneous background. Numerical results are given to show the efiectiveness of the proposed algorithm.