Convergence and oscillations in the Method of Auxiliary Sources

Fikioris, G; Psarros, I

dc.contributor.author	Fikioris, G	en
dc.contributor.author	Psarros, I	en
dc.date.accessioned	2014-03-01T02:46:05Z
dc.date.available	2014-03-01T02:46:05Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32530
dc.subject	Asymptotic Method	en
dc.subject	Boundary Condition	en
dc.subject	Oscillations	en
dc.subject	Satisfiability	en
dc.subject	Method of Auxiliary Sources	en
dc.subject	Perfect Electric Conductor	en
dc.subject.other	Asymptotic method	en
dc.subject.other	Auxiliary source	en
dc.subject.other	Discrete points	en
dc.subject.other	Explicit solutions	en
dc.subject.other	Field methods	en
dc.subject.other	Infinite numbers	en
dc.subject.other	Method of auxiliary sources	en
dc.subject.other	Perfect electric conductor	en
dc.subject.other	Asymptotic analysis	en
dc.subject.other	Photonic crystals	en
dc.title	Convergence and oscillations in the Method of Auxiliary Sources	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/ICEAA.2009.5297429	en
heal.identifier.secondary	http://dx.doi.org/10.1109/ICEAA.2009.5297429	en
heal.identifier.secondary	5297429	en
heal.publicationDate	2009	en
heal.abstract	When applying the Method of Auxiliary Sources (MAS) one seeks to satisfy the boundary condition on N discrete points on a perfect electric conductor (PEC) by using N auxiliary sources located inside the PEC surface. The first purpose of this work is to show, through an analytical study that, in the limit of an infinite number of sources, it is possible to have a convergent MAS field together with divergent MAS currents. The important feature of our study is that MAS currents and fields can be found explicitly for finite N and that the explicit solutions are simple enough to be studied asymptotically in the limit N → ∞ · The second purpose of this work is to discuss the nature of the divergent currents using asymptotic methods: We show that, as a result of the divergence, the MAS currents oscillate very rapidly. Certain similarities to the null-field method are mentioned. © 2009 IEEE.	en
heal.journalName	Proceedings of the 2009 International Conference on Electromagnetics in Advanced Applications, ICEAA '09	en
dc.identifier.doi	10.1109/ICEAA.2009.5297429	en
dc.identifier.spage	307	en
dc.identifier.epage	310	en