EM field induced in inhomogeneous dielectric spheres by external sources

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	2014-03-01T02:44:02Z
dc.date.available	2014-03-01T02:44:02Z
dc.date.issued	2006	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31629
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Electric fields	en
dc.subject.other	Electromagnetic field effects	en
dc.subject.other	Electromagnetic fields	en
dc.subject.other	Electromagnetic waves	en
dc.subject.other	Electromagnetism	en
dc.subject.other	Integrodifferential equations	en
dc.subject.other	Magnetic field effects	en
dc.subject.other	Magnetic permeability	en
dc.subject.other	Magnetic properties	en
dc.subject.other	Piers	en
dc.subject.other	Vectors	en
dc.subject.other	Wave equations	en
dc.subject.other	Analytical solutions	en
dc.subject.other	Crucial parameters	en
dc.subject.other	Dielectric constants	en
dc.subject.other	Eigen vectors	en
dc.subject.other	Eigenvalue equations	en
dc.subject.other	External sources	en
dc.subject.other	Field induced	en
dc.subject.other	In homogeneities	en
dc.subject.other	Inhomogeneous dielectric bodies	en
dc.subject.other	Inhomogeneous dielectrics	en
dc.subject.other	Integrodifferential equation]	en
dc.subject.other	Orthogonal expansions	en
dc.subject.other	Radial functions	en
dc.subject.other	Separation of variables	en
dc.subject.other	Spherical shapes	en
dc.subject.other	Variable densities	en
dc.subject.other	Vector wave equations	en
dc.subject.other	Spheres	en
dc.title	EM field induced in inhomogeneous dielectric spheres by external sources	en
heal.type	conferenceItem	en
heal.identifier.primary	10.2529/PIERS050831064026	en
heal.identifier.secondary	http://dx.doi.org/10.2529/PIERS050831064026	en
heal.publicationDate	2006	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 μ, but variable dielectric constant ε(r, θ,4φ) a direct, mainly analytical solution can be used even in case when the inhomogeneity in ε 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 (θ,4φ) 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.journalName	PIERS 2006 Cambridge - Progress in Electromagnetics Research Symposium, Proceedings	en
dc.identifier.doi	10.2529/PIERS050831064026	en
dc.identifier.spage	275	en
dc.identifier.epage	278	en