On multipole moments of the electromagnetic field
type: Item
instance of: scholarly article
title: On multipole moments of the electromagnetic field
zbMATH Open document ID: 0828.53065
published in: Annals of Physics
publication date: 1996-01-14T00:00:00Z
review text: In this paper, we compare two approaches to electromagnetic theory in flat space-time. Using the Newman-Penrose formalism, multipole moments of the electromagnetic field have been identified without determining their relation to the source of the field. Using the formalism developed by \textit{J. N. Goldberg} and \textit{R. P. Kerr} [J. Math. Phys. 5, 172-176 (1964; Zbl 0118.225)], we obtain this relation explicitly for an extended pole-dipole-quadrupole source. Our results extend in an obvious manner to more general sources; to keep the calculations to a reasonable size, we consider only this case. As a convenient check on calculations, we verify explicitly the vanishing of the Newman-Penrose constants associated with these electromagnetic fields. Our results add to the development of the Goldberg-Kerr formalism initiated by \textit{P. A. Hogan} and \textit{G. F. R. Ellis} [Ann. Phys. 210, No. 1, 178-237 (1991)].
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 799542
zbMATH Keywords: electromagnetic theory in flat space-time
zbMATH Keywords: Newman-Penrose formalism
zbMATH Keywords: multipole moments
zbMATH Keywords: Goldberg-Kerr formalism
author: Brien C. Nolan
MaRDI profile type: Publication
full work available at URL: aphy.1995.1076
OpenAlex ID: W2064250321
DOI: 10.1006/APHY.1995.1076
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description: scientific article; zbMATH DE number 799542