The potentials and fields of an electromagnetic dipole in arbitrary motion

An electromagnetic dipole in motion constitutes a source and gives rise to an electromagnetic field. A covariant expression for the 4-vector current density is derived for such a source and the resulting field equations in terms of a 4-vector potential, are solved using the Green's function. Potentials analogous to the Lienard-VJeichert potentials are obtained for the electromagnetic dipole in motion. These potentials are used to calculate the general expressions for the electric and the magnetic fields due to a moving electric dipole. Using the expressions for the far-fields, a general expression for the Poynting vector is obtained. Finallyfrom the general expressions for the potentials, fields and the Poynting vector, some special cases are derived.