RECONSTRUCTION OF AN IMPEDANCE CYLINDER AT OBLIQUE INCIDENCE FROM THE FAR-FIELD DATA

Consider scattering of obliquely incident plane electromagnetic waves by an impedance cylinder embedded in a homogeneous background medium. Under some assumptions, the direct scattering problem is governed by a coupled system of the two-dimensional Helmholtz equations for x(3) components of the electric field and the magnetic field. In this paper, we study a corresponding inverse scattering problem, which is to reconstruct an unknown scattering object from measurement data of the x3 component of only the electric field. A reconstruction scheme called the linear sampling method is established with rigorous mathematical analysis. Due to the coupled oblique derivative boundary condition, some new characteristics appear in our analysis. Numerical examples are also presented to illustrate the feasibility of the reconstruction algorithm.