One- and Two-Dimensional Green's Functions for Electromagnetic Waves in Moving Simple Media

Abstract

This paper considers the one- and two-dimensional Green's functions associated with electromagnetic radiation in a moving medium. The medium is assumed to be lossless, to have constant permittivity and permeability, and to move with constant velocity with respect to a given inertial coordinate system. For each source (line source or plane source) both the time-dependent and the harmonic Green's functions are found. The results are obtained by means of special transformations which convert the equations to be solved into standard forms. The significance of the results, in terms of one- and two-dimensional Cerenkov radiation, is discussed.