Scattering from axisymmetric dielectric scatterers: A hybrid method of solving the surface integral equations

Magoulas, AN; Fikioris, JG

dc.contributor.author	Magoulas, AN	en
dc.contributor.author	Fikioris, JG	en
dc.date.accessioned	2014-03-01T01:27:10Z
dc.date.available	2014-03-01T01:27:10Z
dc.date.issued	2007	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18340
dc.subject	Hybrid methods	en
dc.subject	Scattering	en
dc.subject	Surface integral equations	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Dielectric materials	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Dielectric scatterers	en
dc.subject.other	Hybrid methods	en
dc.subject.other	Surface integral equations	en
dc.subject.other	Electromagnetic wave scattering	en
dc.title	Scattering from axisymmetric dielectric scatterers: A hybrid method of solving the surface integral equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAP.2007.905841	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAP.2007.905841	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	Scattering of EM waves from homogeneous dielectric scatterers is formulated in terms of two surface integral equations, for the components of the total electric and magnetic fields that are tangential to the surface of the scatterer. Two equivalent systems of such equations may be used, corresponding to the two types of Maue's integral equations for perfectly conducting scatterers. The appearance of surface divergence terms of both components in the dielectric case, in addition to the unknowns themselves, causes serious complications when the method of solution is based on some kind of division of the scatterer surface into patches; these complications become particularly apparent in the process of evaluating the locally dominant self-patch contribution to the surface integrals. They can be effectively avoided if a third equivalent system of surface integral equations is used, arising from a proper summation of the original two systems; then, the two singular Green functions that appear in the surface divergence terms are replaced by their non-singular difference and this, followed by a further transformation of these critical terms, results in the complete elimination of the surface divergence terms. The self-patch contribution can then be evaluated analytically and this helps reduce the size of the matrix, via which the values of the tangential field components at the patch centers are calculated. Scatterers of considerable electrical size, for instance spheres with ka of the order of 10 or 15, can then be treated with moderate size matrices. Numerical results for spheres, sphere-cone-spheres and other shapes are obtained and compared with results from other methods. Apart from spheres, results for other shapes are very rare and limited to small sizes in the literature. © 2007 IEEE.	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.2007.905841	en
dc.identifier.isi	ISI:000250178500020	en
dc.identifier.volume	55	en
dc.identifier.issue	10	en
dc.identifier.spage	2811	en
dc.identifier.epage	2823	en