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Proceedings Paper

Fields induced in inhomogeneous spheres by external sources: the scalar case
Author(s): Gerassimos C. Kokkorakis; John G. Fikioris; George Fikioris
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Paper 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-, (theta) - 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.

Paper Details

Date Published: 9 July 2001
PDF: 9 pages
Proc. SPIE 4467, Complex Mediums II: Beyond Linear Isotropic Dielectrics, (9 July 2001); doi: 10.1117/12.432931
Show Author Affiliations
Gerassimos C. Kokkorakis, National Technical Univ. of Athens (Greece)
John G. Fikioris, National Technical Univ. of Athens (Greece)
George Fikioris, National Technical Univ. of Athens (Greece)


Published in SPIE Proceedings Vol. 4467:
Complex Mediums II: Beyond Linear Isotropic Dielectrics
Akhlesh Lakhtakia; Werner S. Weiglhofer; Ian J. Hodgkinson, Editor(s)

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