The electromagnetic fields and the radiation of a spatio-temporally varying electric current loop

TL;DR

This paper derives an exact analytical solution for the electromagnetic fields of a spatio-temporally varying electric current loop using Jefimenko equations, providing insights into radiation and nonradiation components within Maxwell's theory.

Contribution

It introduces a new exact analytical solution for electromagnetic fields of a dynamic current loop, enhancing understanding of radiation phenomena in Maxwell's framework.

Findings

Explicit expressions for electromagnetic fields of the current loop

Clear separation of radiation and nonradiation parts

Validation within Maxwell's theory

Abstract

The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of Maxwell's theory of electromagnetic fields. In this way, a new, exact, analytical solution of the Maxwell equation is found.