Electromagnetic field in the source region of continuously varying current density

Fikioris, JG

dc.contributor.author	Fikioris, JG	en
dc.date.accessioned	2014-03-01T01:11:55Z
dc.date.available	2014-03-01T01:11:55Z
dc.date.issued	1996	en
dc.identifier.issn	0033-569X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11867
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0030169282&partnerID=40&md5=44e3cca7a5d2a76865bfbb9eb78ecfb1	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Current density	en
dc.subject.other	Electric current distribution	en
dc.subject.other	Function evaluation	en
dc.subject.other	Integral equations	en
dc.subject.other	Integration	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Vectors	en
dc.subject.other	Continuous current density distribution	en
dc.subject.other	Helmholtz equation	en
dc.subject.other	Holder condition	en
dc.subject.other	Electromagnetic field theory	en
dc.title	Electromagnetic field in the source region of continuously varying current density	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	Continuity, analyticity, and the singular points of the vector potential A and the field vectors H, E in a spherical source region nu are investigated thoroughly for, practically, any continuous current density distribution J in nu. In other words, this is a study of the inhomogeneous Helmholtz equation in nu. Explicit results for A, H, E are obtained by direct integration, extending previous results for constant density in nu to continuously varying ones. The importance of imposing the Holder condition on J to insure existence of E and of certain second derivatives of A is explicitly demonstrated by a specific continuous J, violating this condition at a point; it is then seen that E and some second derivatives of A do not exist; tending to infinity, at that point.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Quarterly of Applied Mathematics	en
dc.identifier.isi	ISI:A1996UL51900001	en
dc.identifier.volume	54	en
dc.identifier.issue	2	en
dc.identifier.spage	201	en
dc.identifier.epage	209	en