title: Electromagnetic vector potentials and the scalarization of sources in a nonhomogeneous medium.
abstract: Electromagnetic source equivalence is considered for the case of an isotropic nonhomogeneous medium. Equivalent transformations of the transversally oriented (with respect to a chosen axis) current sources into longitudinally oriented sources are derived. They allow the reduction of any given distribution of arbitrarily oriented sources to an equivalent distribution of single-component parallel electric and magnetic sources. The technique is referred to as source scalarization; and, together with a recently developed vector potential field representation in an isotropic, nonhomogeneous, lossy medium, which may contain sources of arbitrary orientation, it is applied to produce a complete description of the field in terms of two scalar wave potentials. The proposed source scalarization technique is illustrated by a simple numerical example: the radiation of an electromagnetic pulse by an asymmetrical loop of magnetic currents.
authors.affiliation: Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada L8S 4K1. talia@mcmaster.ca
authors.forename: Natalia K
authors.initials: NK
authors.lastname: Georgieva
authors.forename: Werner S
authors.initials: WS
authors.lastname: Weiglhofer