Cerenkov radiation by a point charge moving parallel to the plane interface between two semi-infinite dielectric media

Abstract

Cerenkov radiation in two semi-infinite dielectric media due to a point charge moving parallel to the plane interface has been calculated as a simple boundary-value problem. The results obtained differ from those of Danos, Linhart and Pafomov but are in complete agreement with the formulae for Cerenkov radiation in an infinite homogeneous dielectric medium and in a semi-infinite homogeneous dielectric medium with the plane conducting boundary as the limiting case. No discrepancy arises on interchanging dielectric constants if the particle moves along the common boundary plane. The result obtained from the radiation formula by a Linhart-type approximation is superior to Linhart's result from the point of view of rigour.