Optimization of the method of auxiliary sources (MAS) for scattering by an infinite cylinder under oblique incidence

Tsitsas, NL; Alivizatos, EG; Anastassiu, HT; Kaklamani, DI

dc.contributor.author	Tsitsas, NL	en
dc.contributor.author	Alivizatos, EG	en
dc.contributor.author	Anastassiu, HT	en
dc.contributor.author	Kaklamani, DI	en
dc.date.accessioned	2014-03-01T01:22:53Z
dc.date.available	2014-03-01T01:22:53Z
dc.date.issued	2005	en
dc.identifier.issn	0272-6343	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16705
dc.subject	Electromagnetic scattering	en
dc.subject	Error estimation	en
dc.subject	MAS	en
dc.subject	Oblique incidence	en
dc.subject	Perfectly conducting cylinder	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Computational methods	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Error analysis	en
dc.subject.other	Linear systems	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Problem solving	en
dc.subject.other	Error estimation	en
dc.subject.other	Method of auxiliary sources (MAS)	en
dc.subject.other	Oblique incidence	en
dc.subject.other	Perfectly conducting cylinders	en
dc.subject.other	Electromagnetic wave scattering	en
dc.title	Optimization of the method of auxiliary sources (MAS) for scattering by an infinite cylinder under oblique incidence	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/02726340590522157	en
heal.identifier.secondary	http://dx.doi.org/10.1080/02726340590522157	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	This paper presents a rigorous accuracy analysis of the method of auxiliary sources (MAS) for the problem of oblique incidence plane wave scattering by a perfectly conducting, infinite circular cylinder. For this particular scattering geometry, it is shown that the MAS matrix is inverted analytically, via eigenvalue analysis, and an exact mathematical expression for the discretization error is derived. Furthermore, the computational error, resulting from numerical matrix inversion, is calculated and compared to the analytical one, showing perfect fit for a wide range of the auxiliary sources' locations. The irregular behavior of the computational error for small values of the auxiliary sources' radii is explained by the corresponding high values of the linear system's condition number. It is also demonstrated that specific source locations, associated with the characteristic eigenvalues of the scattering problem, should be avoided, because then both computational and analytical error increase very abruptly. The dependence of the computational and analytical error on the angle of incidence is thoroughly investigated. Finally, the optimal location of the auxiliary sources is determined on the grounds of error minimization.	en
heal.publisher	TAYLOR & FRANCIS INC	en
heal.journalName	Electromagnetics	en
dc.identifier.doi	10.1080/02726340590522157	en
dc.identifier.isi	ISI:000225092000003	en
dc.identifier.volume	25	en
dc.identifier.issue	1	en
dc.identifier.spage	39	en
dc.identifier.epage	54	en