On retardation, radiation and Li\'enard-Wiechert type potentials in electrodynamics and elastodynamics

Abstract

The aim of this paper is to investigate the fundamental problems of retardation and radiation caused by non-uniformly moving point sources using the theories of electrodynamics and elastodynamics. This paper investigates and compares the retarded electromagnetic fields and the retarded elastodynamic fields. For the non-uniform motion of a general point source, the Li\'enard-Wiechert type potentials and the radiation and nonradiation fields are derived for a point charge and for a point force.