Three function decomposition theorems in Clifford analysis with applications in electromagnetism

dc.contributor.author	Franssens, G.R.
dc.date	2012
dc.date.accessioned	2016-03-29T10:07:37Z
dc.date.available	2016-03-29T10:07:37Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/3006
dc.description	Three theorems are presented which give the, generally non-unique, representation of a k-vector function in terms of a k - 1-vector function and a k + 1-vector function, in ultrahyperbolic Clifford analysis with general signature (p,q). When specialized to the case (p,q) = (1,3) and k = 2, these theorems have a direct application in the domain of electromagnetism. The specialized theorems characterize: (i) the decomposition of an electromagnetic field in terms of an electric field and a magnetic field, (ii) the representation of an electromagnetic field in terms of potential fields and (iii) the representation of an electromagnetic field in terms of source fields.
dc.language	eng
dc.title	Three function decomposition theorems in Clifford analysis with applications in electromagnetism
dc.type	Conference
dc.subject.frascati	Physical sciences
dc.audience	Scientific
dc.source.title	AIP Conference Proceedings
dc.source.volume	1493
dc.source.page	371-376
Orfeo.peerreviewed	No
dc.identifier.doi	10.1063/1.4765515
dc.identifier.scopus	2-s2.0-84873112207