On the singular integrals in the source region of electromagnetic fields

Fikioris, JG

dc.contributor.author	Fikioris, JG	en
dc.date.accessioned	2014-03-01T01:21:11Z
dc.date.available	2014-03-01T01:21:11Z
dc.date.issued	2004	en
dc.identifier.issn	0920-5071	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16118
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Physics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Current density	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Maxwell equations	en
dc.subject.other	Vectors	en
dc.subject.other	Helmholtz equation	en
dc.subject.other	Newton law	en
dc.subject.other	Electromagnetic fields	en
dc.title	On the singular integrals in the source region of electromagnetic fields	en
heal.type	journalArticle	en
heal.identifier.primary	10.1163/1569393042954866	en
heal.identifier.secondary	http://dx.doi.org/10.1163/1569393042954866	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Kellogg's classical theory on the singularities of integrals expressing field quantities, like potential phi or force F, in the source region V of static (gravitational or electrostatic) fields is extended to electromagnetic fields. Beyond the similarities some additional features of the latter fields are pointed out. It is shown that this classical approach leads via unambiguous and elegant steps, mainly by direct integration, to explicit results for the field vectors A, H, E of certain particular source regions and source distributions; it is further shown that these results, obtained by the author in several of his previous publications, satisfy the inhomogeneous Maxwell's equations in the source region V and the proper continuity or discontinuity conditions at the boundary of V. Said in another way, this amounts to a more or less complete study of the inhomogeneous Helmholtz equation in V. The special care with which multidimensional improper integrals should be handled to avoid errors is illustrated by means of single, double (surface) and triple (volume) integrals of specific, simple functions that can be evaluated explicitly.	en
heal.publisher	VSP BV	en
heal.journalName	Journal of Electromagnetic Waves and Applications	en
dc.identifier.doi	10.1163/1569393042954866	en
dc.identifier.isi	ISI:000225646100006	en
dc.identifier.volume	18	en
dc.identifier.issue	11	en
dc.identifier.spage	1505	en
dc.identifier.epage	1521	en