EM field induced in inhomogeneous dielectric spheres by external sources

Kokkorakis, GC; Fikioris, JG

dc.contributor.author	Kokkorakis, GC	en
dc.contributor.author	Fikioris, JG	en
dc.date.accessioned	2014-03-01T01:26:17Z
dc.date.available	2014-03-01T01:26:17Z
dc.date.issued	2007	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17984
dc.subject	3D vector integrodifferential equations	en
dc.subject	Acoustics	en
dc.subject	Dielectrics	en
dc.subject	Equations	en
dc.subject	Green function	en
dc.subject	Harmonic analysis	en
dc.subject	Hybrid methods	en
dc.subject	Inhomogeneous dielectrics	en
dc.subject	Nonhomogeneous media	en
dc.subject	Shape	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Acoustic fields	en
dc.subject.other	Dielectric materials	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Green's function	en
dc.subject.other	Harmonic analysis	en
dc.subject.other	Integrodifferential equations	en
dc.subject.other	Magnetic permeability	en
dc.subject.other	Vectors	en
dc.subject.other	Wave equations	en
dc.subject.other	Field-vector expansions	en
dc.subject.other	Hybrid methods	en
dc.subject.other	Nonhomogeneous media	en
dc.subject.other	Electromagnetic fields	en
dc.title	EM field induced in inhomogeneous dielectric spheres by external sources	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAP.2007.908813	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAP.2007.908813	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	The electromagnetic field induced in the interior of inhomogeneous dielectric bodies by external sources can be evaluated by solving the well-known electric field integrodifferential equation (EFIDE). For spheres with constant magnetic permeability mu but variable dielectric constant epsilon(r, theta, phi), a direct, mainly analytical solution can be used even in case when the inhomogeneity in epsilon renders separation of variables inapplicable. This approach constitutes a generalization of the hybrid (analytical-numerical) scalar method developed by the authors in two recent papers, for the corresponding acoustic (scalar) field induced in spheres with variable density and/or compressibility. This extension, by no means trivial, owing to the vector and integrodifferential nature of the equation, is based on field-vector expansions using the set of three harmonic surface vectors, orthogonal and complete over the surface of the sphere, for their angular (theta, phi) dependence, and Dini's expansions of a general type for their radial functions. The use of the latter has been shown to be superior to other possible sets of orthogonal expansions and as far as its convergence is concerned it may further be improved by properly choosing a crucial parameter in their eigenvalue equation. The restriction to the spherical shape is imposed here to allow use of the well-known expansion of Green's dyadic in spherical eigenvectors of the vector wave equation.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Antennas and Propagation	en
dc.identifier.doi	10.1109/TAP.2007.908813	en
dc.identifier.isi	ISI:000250929700009	en
dc.identifier.volume	55	en
dc.identifier.issue	11 II	en
dc.identifier.spage	3178	en
dc.identifier.epage	3190	en