Non-regular Potentials and Sources for Static Axisymmetric Electrovacs

TL;DR

This paper introduces a new formalism for constructing electromagnetic surface sources in static axisymmetric electrovacs, enabling the inclusion of dipole sources and generalizing previous methods for monopolar electric fields.

Contribution

The paper presents a novel formalism that incorporates dipole sources and extends previous models to handle asymptotically monopolar electric fields in static axisymmetric electrovacs.

Findings

Formalism derived from scalar potential discontinuities

Inclusion of sheets of dipoles and monopole dipole moments

Generalization to asymptotically monopolar electric fields

Abstract

In this lecture a new formalism for constructing electromagnetic surface sources for static axisymmetric electrovacs is presented. The electrostatic and magnetostatic sources are derived from the discontinuities of the scalar potentials. This formalism allows the inclusion of two kinds of dipole sources: Sheets of dipoles and the dipole moment of a distribution of monopoles. It is a generalization of a previous formalism in order to cope with asymptotically monopolar electric fields.