Field induced in inhomogeneous spheres by external sources. The scalar case

Kokkorakis, GC; Fikioris, JG; Fikioris, G

dc.contributor.author	Kokkorakis, GC	en
dc.contributor.author	Fikioris, JG	en
dc.contributor.author	Fikioris, G	en
dc.date.accessioned	2014-03-01T02:41:53Z
dc.date.available	2014-03-01T02:41:53Z
dc.date.issued	2001	en
dc.identifier.issn	0277786X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30649
dc.subject	Dini series	en
dc.subject	Inhomogeneous media	en
dc.subject	Volume integral equations	en
dc.subject.other	Bessel functions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Permittivity	en
dc.subject.other	Dini series	en
dc.subject.other	Inhomogeneous media	en
dc.subject.other	Volume integral equation	en
dc.subject.other	Electromagnetic fields	en
dc.title	Field induced in inhomogeneous spheres by external sources. The scalar case	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1117/12.432931	en
heal.identifier.secondary	http://dx.doi.org/10.1117/12.432931	en
heal.publicationDate	2001	en
heal.abstract	The evaluation of acoustic or electromagnetic fields induced in the interior of inhomogeneous penetrable bodies by external sources is based on well known volume integral equations; this is particularly true for bodies of arbitrary shape and/or composition, for which separation of variables fails. In this paper we focus the investigation to acoustic (scalar fields) in inhomogeneous spheres of arbitrary composition, i.e., with r-, θ- dependent medium parameters. The volume integral equation is solved by a hybrid (analytical - numerical) method, which takes advantage of the orthogonal properties of spherical harmonics, and, in particular, of the so called Dini's expansions of the radial functions; the optimum convergence of the former is, also, determined. The scalar case treated here, serves as a stepping stone for the solution of the more difficult electromagnetic problem.	en
heal.journalName	Proceedings of SPIE - The International Society for Optical Engineering	en
dc.identifier.doi	10.1117/12.432931	en
dc.identifier.volume	4467	en
dc.identifier.spage	198	en
dc.identifier.epage	206	en