Direct and inverse dipole electromagnetic scattering by a piecewise homogeneous sphere

Tsitsas, NL

dc.contributor.author	Tsitsas, NL	en
dc.date.accessioned	2014-03-01T01:30:12Z
dc.date.available	2014-03-01T01:30:12Z
dc.date.issued	2009	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19498
dc.subject	Dipoles	en
dc.subject	Far-field inverse problems	en
dc.subject	Green's functions	en
dc.subject	Low-frequency	en
dc.subject	Piecewise homogeneous sphere	en
dc.subject	Spherical electromagnetic waves	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	POINT-SOURCE EXCITATION	en
dc.subject.other	LAYERED SPHERE	en
dc.subject.other	HUMAN-BODY	en
dc.subject.other	WAVES	en
dc.title	Direct and inverse dipole electromagnetic scattering by a piecewise homogeneous sphere	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/zamm.200900272	en
heal.identifier.secondary	http://dx.doi.org/10.1002/zamm.200900272	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	This paper deals with the investigation of the direct and the inverse electromagnetic scattering problem by a piecewise homogeneous sphere, excited by an interior or exterior dipole. The research is motivated by important physical, biomedical, and technological applications detailed in the introduction. First, we utilize Sommerfeld's and T-matrix method to determine the exact electromagnetic Green's function, that is the solution of the direct scattering problem. Then, we use the low-frequency assumption to derive asymptotic far-field expansions of the Green's function of an electrically small piecewise homogeneous sphere. These low-frequency expansions contribute essentially to the development of far-field inverse scattering algorithms for the determination of the sphere's geometrical and physical characteristics. It is shown that for these algorithms interior dipoles offer additional information, which may be utilized effectively for the localization and reconstruction of the sphere. Several numerical results exhibit the variations of the far-field quantities with respect to the dipole's and the sphere's characteristics. Reductions to plane wave scattering by a layered sphere and exterior dipole scattering by a homogeneous sphere are pointed out. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik	en
dc.identifier.doi	10.1002/zamm.200900272	en
dc.identifier.isi	ISI:000270688900004	en
dc.identifier.volume	89	en
dc.identifier.issue	10	en
dc.identifier.spage	833	en
dc.identifier.epage	849	en