The forward and inverse problems for the scattering of obliquely incident electromagnetic waves in a chiral medium

Consider the scattering of an obliquely incident electromagnetic wave by an infinitely long impedance cylinder which is embedded in a homogeneous chiral medium. Under certain assumptions, we show that the scattering problem can be formulated as a second order elliptic system with generalized oblique derivative boundary conditions for the z components of the electric and magnetic fields. The unique solvability of the direct scattering problem and the complex analyticity of its solution are proven by using the Lax-Phillips method. In addition, we are concerned with a corresponding inverse scattering problem, and prove that the cross-section and the impedance function of the cylinder can be uniquely determined from the far-field measurements. (C) 2021 Elsevier Inc. All rights reserved.