Accuracy analysis and optimization of the Method of Auxiliary Sources (MAS) for scattering by a circular cylinder

Anastassiu, HT; Lymperopoulos, DG; Kaklamani, DI

dc.contributor.author	Anastassiu, HT	en
dc.contributor.author	Lymperopoulos, DG	en
dc.contributor.author	Kaklamani, DI	en
dc.date.accessioned	2014-03-01T01:19:52Z
dc.date.available	2014-03-01T01:19:52Z
dc.date.issued	2004	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15732
dc.subject	Cylinder	en
dc.subject	Error	en
dc.subject	Method of auxiliary sources (MAS)	en
dc.subject	Optimization	en
dc.subject	Scattering	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Computer simulation	en
dc.subject.other	Electromagnetic wave scattering	en
dc.subject.other	Error analysis	en
dc.subject.other	Optimization	en
dc.subject.other	Circular cylinder	en
dc.subject.other	Method of auxiliary sources	en
dc.subject.other	Electromagnetic wave propagation	en
dc.title	Accuracy analysis and optimization of the Method of Auxiliary Sources (MAS) for scattering by a circular cylinder	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAP.2004.830264	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAP.2004.830264	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	This paper presents a rigorous accuracy analysis of the method of auxiliary sources (MAS), when applied to scattering problems. A benchmark, canonical geometry, consisting of a perfectly conducting, infinite, circular cylinder, is chosen for clarity and simplicity. For this particular structure it is shown that the MAS square matrix can be inverted analytically, yielding exact mathematical expressions for the discretization error and the condition number of the pertinent linear system. It is also demonstrated that the error increases very abruptly for source locations associated with the characteristic eigenvalues of the scattering geometry, precisely as predicted in theory. Various plots depict comparisons between analytical and computational data for the boundary condition error, and all occurring discrepancies are fully explained. Among, several important results of, the analysis, the fundamental MAS question concerning the optimal location of the auxiliary sources,is thoroughly investigated and resolved on the grounds of error minimization.	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.2004.830264	en
dc.identifier.isi	ISI:000221857300019	en
dc.identifier.volume	52	en
dc.identifier.issue	6	en
dc.identifier.spage	1541	en
dc.identifier.epage	1547	en