The coordinate expression of the propagation constant for a moving dielectric medium

In this paper we give a mathematical derivation of the coordinate dependence of the propagation constant of an electromagnetic wave propagating in a moving dielectric, which by definition is a bianisotropic medium. The need for such an investigation consists in the requirement to describe the medium in numerical simulation. In this context, special clarifications are given on the accuracy, stability, and variability of the expression obtained. In this paper, both inertial and noninertial (rotational motion) reference frames are considered. Results proving the correctness of the expressions presented. The obtained expression makes it possible to obtain the value of the propagation constant in the vicinity of a local source of electromagnetic waves on the surface of a moving medium.