Explicit expressions for the electric and magnetic fields of a moving magnetic dipole

Abstract

Explicit expressions for the electric and magnetic fields of an arbitrarily moving particle possessing a constant magnetic moment are derived from retarded integrals representing the solution of Maxwell's equations for electric and magnetic fields of a magnetized source. These expressions exhibit explicitly the useful separation of the fields into their $1/R,$ ${1/R}^{2},$ and ${1/R}^{3}$ parts. The total power radiated by this magnetic dipole is then calculated when the velocity, acceleration, and the derivative of acceleration are parallel. The low velocity limit of this power and the conservation of energy are used to derive a nonlinear damping force acting on a nonrelativistic magnetic dipole.