Schwinger-Lippman volume integral equation method for green's function evaluation in an inhomogeneous sphere by an inner source using dini's series expansion

Zouros, GP

dc.contributor.author	Zouros, GP	en
dc.date.accessioned	2014-03-01T02:46:58Z
dc.date.available	2014-03-01T02:46:58Z
dc.date.issued	2010	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32965
dc.subject	Series Expansion	en
dc.subject	Integral Equation Method	en
dc.subject.other	Analytical evaluation	en
dc.subject.other	Elastic problems	en
dc.subject.other	Electromagnetic problems	en
dc.subject.other	Inhomogeneous density	en
dc.subject.other	Numerical results	en
dc.subject.other	Series expansion	en
dc.subject.other	Volume integral equation	en
dc.subject.other	Compressibility	en
dc.subject.other	Electric fields	en
dc.subject.other	Electromagnetism	en
dc.subject.other	Electromagnets	en
dc.subject.other	Function evaluation	en
dc.subject.other	Integral equations	en
dc.subject.other	Magnetic materials	en
dc.subject.other	Spheres	en
dc.subject.other	Green's function	en
dc.title	Schwinger-Lippman volume integral equation method for green's function evaluation in an inhomogeneous sphere by an inner source using dini's series expansion	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/MMET.2010.5611443	en
heal.identifier.secondary	http://dx.doi.org/10.1109/MMET.2010.5611443	en
heal.identifier.secondary	5611443	en
heal.publicationDate	2010	en
heal.abstract	The fields induced in the interior of penetrable bodies with inhomogeneous compressibility by sources placed inside them are evaluated through a Schwinger-Lippman volume integral equation. In the case of an inhomogeneous sphere, the radial part of the unknown Green's function can be expanded in a double Dini's series, which allows analytical evaluation of the involved cumbersome integrals. The case treated here can be extended to more difficult situations, involving inhomogeneous density, as well as to the corresponding electromagnetic problem, to the elastic problem or even to the electromagnetic problem for cylindrical configuration. Finally, numerical results are given for various inhomogeneous compressibility distributions. © 2010 IEEE.	en
heal.journalName	Mathematical Methods in Electromagnetic Theory, MMET, Conference Proceedings	en
dc.identifier.doi	10.1109/MMET.2010.5611443	en