A new procedure for specifying nonradiating current distributions and the fields they produce

Edwin A. Marengo, Richard W. Ziolkowski

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

This paper reports a new procedure for specifying monochromatic nonradiating (NR) current distributions (NR sources) and the electric and magnetic fields they produce (NR fields). Vector spherical harmonics and a Fourier-Bessel series are used to derive a new vector spherical-wave expansion for continuous NR fields confined within a spherical volume. The analysis yields complete orthogonal sets in terms of which all such NR fields can be expanded. By making use of a Maxwell operator representation for NR current distributions, we obtain a new series expansion for NR current distributions confined within a spherical volume. The analysis also yields complete sets for such NR current distributions. The developed theory is illustrated with special cases.

Original languageEnglish (US)
Pages (from-to)845-866
Number of pages22
JournalJournal of Mathematical Physics
Volume41
Issue number2
DOIs
StatePublished - Feb 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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