Vector potentials and scalarization for nonhomogeneous isotropic mediums

Weiglhofer, W.S. and Georgieva, N.K. (2003) Vector potentials and scalarization for nonhomogeneous isotropic mediums. Electromagnetics, 23, pp. 387-398. (doi: 10.1080/02726340390202550)

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Abstract

We show that the electromagnetic field in an isotropic (dielectric–magnetic) medium that is arbitrarily nonhomogeneous can be represented in terms of two vector potentials that are solutions of a system of two second-order partial differential equations. Furthermore, we derive conditions that permit the reduction of the two vector potentials to a pair of collinear single components and we establish a connection to an alternative solution formalism in terms of scalar Hertz potentials. The reduction involves both the vector potentials and their sources.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:UNSPECIFIED
Authors: Weiglhofer, W.S., and Georgieva, N.K.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Electromagnetics

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