A spectral-theoretic approach for the solution of Maxwell's equations in stratified media

Athanasiadis, C; Kiriaki, K; Stratis, IG

dc.contributor.author	Athanasiadis, C	en
dc.contributor.author	Kiriaki, K	en
dc.contributor.author	Stratis, IG	en
dc.date.accessioned	2014-03-01T01:13:32Z
dc.date.available	2014-03-01T01:13:32Z
dc.date.issued	1998	en
dc.identifier.issn	0170-4214	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12553
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Electromagnetic field theory	en
dc.subject.other	Electromagnetic wave propagation	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Problem solving	en
dc.subject.other	Spectrum analysis	en
dc.subject.other	Thermal stratification	en
dc.subject.other	Vectors	en
dc.subject.other	Hilbert spaces	en
dc.subject.other	Three dimensional stratified media	en
dc.subject.other	Maxwell equations	en
dc.title	A spectral-theoretic approach for the solution of Maxwell's equations in stratified media	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1099-1476(19980525)21:8<685::AID-MMA966>3.0.CO;2-#	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1099-1476(19980525)21:8<685::AID-MMA966>3.0.CO;2-#	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	In the present work, the problem of electromagnetic wave propagation in three-dimensional stratified media is studied. The method of decoupling the electric and magnetic fields is implemented, and the spectral approach is adopted, componentwise, to the vector equation involving the electric field. Operational calculus of self-adjoint, positive operators in suitable Hilbert spaces is used to solve the corresponding initial value problems. The spectral families of these operators for the cases of the whole space and of a finite layer are constructed. A discussion on the applicability of the obtained results to physical problems is also included. (C) 1998 B. G. Teubner Stuttgart-John Wiley & Sons Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	Mathematical Methods in the Applied Sciences	en
dc.identifier.doi	10.1002/(SICI)1099-1476(19980525)21:8<685::AID-MMA966>3.0.CO;2-#	en
dc.identifier.isi	ISI:000073434200002	en
dc.identifier.volume	21	en
dc.identifier.issue	8	en
dc.identifier.spage	685	en
dc.identifier.epage	700	en