NDLI: EM Field Induced in Inhomogeneous Dielectric Spheres by External Sources

Content Provider	IEEE Xplore Digital Library
Author	Kokkorakis, G.C. Fikioris, J.G.
Copyright Year	1963
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 but variable dielectric constant , a direct, mainly analytical solution can be used even in case when the inhomogeneity in 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 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.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	3178
Ending Page	3190
Page Count	13
File Size	653712
File Format	PDF
ISSN	0018926X
Volume Number	55
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonuniform electric fields Integrodifferential equations Magnetic analysis Electromagnetic fields Permeability Dielectric constant Convergence Eigenvalues and eigenfunctions Shape Partial differential equations 3D vector integrodifferential equations Hybrid methods inhomogeneous dielectrics
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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