The vector potential of a point magnetic dipole

TL;DR

This paper derives the retarded vector potential for a moving magnetic dipole with arbitrary acceleration, providing new expressions for radiated power distribution and verifying them against existing literature.

Contribution

It introduces a novel expression for the angular distribution of radiated power from an arbitrarily moving magnetic dipole, including accelerated cases.

Findings

Derived the retarded vector potential for accelerated magnetic dipoles.

Provided a new formula for the angular distribution of radiated power.

Validated equations by reducing to known special cases.

Abstract

The retarded vector potential of a point magnetic dipole with an arbitrary time dependence undergoing accelerated relativistic motions is derived. A novel expression for the angular distribution of the radiated power of an arbitrary moving magnetic dipole is obtained. In particular, the case of an uniformly accelerated particle with a constant magnetic moment is considered. The resulting equations are verified by showing that the fields reduce to less general forms found in the literature.