Reflection and Transmission of Electromagnetic Waves by a Moving Inhomogeneous Medium

Abstract

This paper describes the rigorous solution of the problem of reflection and transmission of a plane E wave incident from a homogeneous medium upon a lossless inhomogeneous medium moving uniformly parallel both to the interface and to the plane of incidence by using Maxwell's equations and the constitutive relations for a moving medium. The inhomogeneous medium is assumed to have a linear transition profile of specific permittivity. To describe the influence of the moving inhomogeneous medium in detail, some numerical illustrations of the reflection coefficient and the reflection point of geometrical optics in the inhomogeneous medium are shown. It is found that the reflection point is shifted and the dependence of the reflection coefficient on the width of the inhomogeneous medium is modified in an interesting manner by the motion of the medium.