An intrinsic tensor technique in Minkowski space with applications to boundary value problems

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Abstract
This article describes an intrinsic tensor technique for solving boundary value problems in electrodynamics of moving media, which entails considerable notational simplification and calculational advantages. On the basis of generalized impedance and characteristic matrix methods, the reflection and transmission operators of a multilayer structure consisting of anisotropic media uniformly moving with different velocities are found. A general solution to the problem of reflection and transmission at the interface between two moving isotropic media is obtained, and explicit expressions for Doppler shifts, Snell’s laws, critical and Brewster angles, reflection and transmission coefficients, and the radiation pressure force are found. The material tensor of a uniformly moving linear medium is expressed through its reflection and transmission operators.