Field induced in inhomogeneous spheres by external sources. I. 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	2014-03-01T01:17:55Z
dc.date.available	2014-03-01T01:17:55Z
dc.date.issued	2002	en
dc.identifier.issn	0001-4966	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14701
dc.subject.classification	Acoustics	en
dc.subject.other	Harmonic analysis	en
dc.subject.other	Integral equations	en
dc.subject.other	Magnetoelectric effects	en
dc.subject.other	Numerical methods	en
dc.subject.other	Optimization	en
dc.subject.other	Penetrable bodies	en
dc.subject.other	Acoustics	en
dc.subject.other	acoustics	en
dc.subject.other	acoustics	en
dc.subject.other	analytic method	en
dc.subject.other	article	en
dc.subject.other	electromagnetic field	en
dc.subject.other	evaluation	en
dc.subject.other	mathematical analysis	en
dc.subject.other	mathematical model	en
dc.subject.other	priority journal	en
dc.title	Field induced in inhomogeneous spheres by external sources. I. The scalar case	en
heal.type	journalArticle	en
heal.identifier.primary	10.1121/1.1498274	en
heal.identifier.secondary	http://dx.doi.org/10.1121/1.1498274	en
heal.language	English	en
heal.publicationDate	2002	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 the investigation focuses on acoustic (scalar fields) in inhomogeneous spheres of arbitrary composition, i.e., with r-, theta- or even p-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, whose convergence is optimized. The numerical part comes at the end; it involves the evaluation of certain definite integrals and the matrix inversion for the expansion coefficients of the solution. The scalar case treated here serves as a steppingstone for the solution of the more difficult electromagnetic problem. (C) 2002 Acoustical Society of America.	en
heal.publisher	ACOUSTICAL SOC AMER AMER INST PHYSICS	en
heal.journalName	Journal of the Acoustical Society of America	en
dc.identifier.doi	10.1121/1.1498274	en
dc.identifier.isi	ISI:000178486100009	en
dc.identifier.volume	112	en
dc.identifier.issue	4	en
dc.identifier.spage	1297	en
dc.identifier.epage	1306	en