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

TL;DR

This paper compares retarded electromagnetic and elastodynamic fields caused by non-uniformly moving point sources, deriving Lie9nard-Wiechert type potentials and analyzing radiation effects in both theories.

Contribution

It introduces a unified approach to derive Lie9nard-Wiechert type potentials for non-uniform motion in electrodynamics and elastodynamics, highlighting similarities and differences.

Findings

Derived explicit forms of retarded fields for non-uniform motion

Identified conditions for radiation and non-radiation fields

Compared electromagnetic and elastodynamic field behaviors

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.