ON AN INITIAL-BOUNDARY VALUE-PROBLEM INVOLVING BELTRAMI-MOSES FIELDS IN ELECTROMAGNETIC THEORY

Authors
HILLION P LAKHTAKIA A
Citation
P. Hillion et A. Lakhtakia, ON AN INITIAL-BOUNDARY VALUE-PROBLEM INVOLVING BELTRAMI-MOSES FIELDS IN ELECTROMAGNETIC THEORY, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 344(1671), 1993, pp. 235-248
Citations number
38
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Philosophical transactions-Royal Society of London. Physical sciences and engineering → ACNP
ISSN journal
09628428
Volume
344
Issue
1671
Year of publication
1993
Pages
235 - 248
Database
ISI
SICI code
0962-8428(1993)344:1671<235:OAIVIB>2.0.ZU;2-I
Abstract
The so-called Harmuth ansatz consists of including autonomous magnetic sources in the time-dependent Maxwell postulates. The Beltrami fields are eigenfunctions of the curl operator, and have been used by Moses for propagation in infinite media. These developments are of relativel y recent provenances in electromagnetic theory. We discuss an initial- boundary value problem (IBVP) within the framework of a manifestly cov ariant electromagnetic formalism by using the Harmuth ansatz. We also show how a covariant formulation of the Beltrami-Moses fields may be u sed for solving electromagnetic IBVPS.