On the low frequency asymptotics for the 2-D electromagnetic transmission problem

Anestopoulos, CN; Argyropoulos, EE

dc.contributor.author	Anestopoulos, CN	en
dc.contributor.author	Argyropoulos, EE	en
dc.date.accessioned	2014-03-01T01:24:48Z
dc.date.available	2014-03-01T01:24:48Z
dc.date.issued	2006	en
dc.identifier.issn	1446-1811	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17437
dc.subject	Electromagnetic transmission	en
dc.subject	Low frequency	en
dc.subject	Scattering theory	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	HELMHOLTZ-EQUATION	en
dc.subject.other	SCATTERING	en
dc.title	On the low frequency asymptotics for the 2-D electromagnetic transmission problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S1446181100009913	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S1446181100009913	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We examine the transmission problem in a two-dimensional domain, which consists of two different homogeneous media. We use boundary integral equation methods on the Maxwell equations governing the two media and we study the behaviour of the solution as the two different wave numbers tend to zero. We prove that as the boundary data of the general transmission problem converge uniformly to the boundary data of the corresponding electrostatic transmission problem, the general solution converges uniformly to the electrostatic one, provided we consider compact subsets of domains. © Australian Mathematical Society 2006.	en
heal.publisher	AUSTRALIAN MATHEMATICS PUBL ASSOC INC	en
heal.journalName	ANZIAM Journal	en
dc.identifier.doi	10.1017/S1446181100009913	en
dc.identifier.isi	ISI:000236631600007	en
dc.identifier.volume	47	en
dc.identifier.issue	3	en
dc.identifier.spage	397	en
dc.identifier.epage	411	en