The Linear Sampling Method for Two-dimensional Electromagnetic Inverse Scattering by Obstacle in Chiral Environment

Abstract

In this paper, we consider the time-harmonic electromagnetic scattering by a perfect conductor in a homogeneous chiral environment. For three-dimensional cylindrical structures, it can be simplified as a two-dimensional model problem, which can be modeled by two scalar Helmholtz equations via coupled boundary conditions. The boundary integral equation method is used to prove the unique existence of the weak solution to this problem. Then we apply the linear sampling method to recover the scatterer from one of the far field pattern of wave fields. Some numerical examples are shown to verify the correctness and effectiveness of the proposed method.