Multipole radiation fields from the Jefimenko equation for the magnetic field and the Panofsky-Phillips equation for the electric field

TL;DR

This paper presents a direct method to derive multipole radiation fields from localized sources using Jefimenko and Panofsky-Phillips equations, bypassing potential calculations.

Contribution

It introduces a novel approach to obtain multipole contributions directly from field equations, simplifying electromagnetic radiation analysis.

Findings

Efficient derivation of multipole fields from source equations

Avoids calculating electromagnetic potentials

Applicable to arbitrary localized sources

Abstract

We show how to obtain the first multipole contributions to the electromagnetic radiation emited by an arbitrary localized source directly from the Jefimenko equation for the magnetic field and the Panofsky-Phillips equation for the electric field. This procedure avoids the unnecessary calculation of the electromagnetic potentials.