On the use of entire-domain basis dunctions in Galerkin methods applied to certain integral equations for wire antennas with the approximate kernel

Fikioris, G; Michalopoulou, A

dc.contributor.author	Fikioris, G	en
dc.contributor.author	Michalopoulou, A	en
dc.date.accessioned	2014-03-01T01:31:34Z
dc.date.available	2014-03-01T01:31:34Z
dc.date.issued	2009	en
dc.identifier.issn	0018-9375	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19825
dc.subject	Aantenna theory	en
dc.subject	Antenna feeds	en
dc.subject	Galerkin method	en
dc.subject	Integral equations	en
dc.subject	Wire antennas	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	A-center	en
dc.subject.other	Aantenna theory	en
dc.subject.other	Antenna feeds	en
dc.subject.other	Basis functions	en
dc.subject.other	Current distribution	en
dc.subject.other	Delta-function generator	en
dc.subject.other	Galerkin's method	en
dc.subject.other	Radius ratio	en
dc.subject.other	Simple rules	en
dc.subject.other	Smooth solutions	en
dc.subject.other	Wire antennas	en
dc.subject.other	Antenna feeders	en
dc.subject.other	Function generators	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Integral equations	en
dc.subject.other	Wire	en
dc.subject.other	Antennas	en
dc.title	On the use of entire-domain basis dunctions in Galerkin methods applied to certain integral equations for wire antennas with the approximate kernel	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TEMC.2008.2010711	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TEMC.2008.2010711	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	When the approximate kernel is used, Hallén's integral equation for the current distribution on a center-driven, straight-wire antenna does not have a solution. This is true for at least two types of feed: the delta-function generator and the frill generator. For the case of subsectional basis functions in Galerkin's method, recent papers have shown that the main associated difficulty is the unavoidable appearance of oscillations near the center and/or the ends of the antenna. In this paper, we investigate the nature of the difficulties for the case of entire-domain, cosine basis functions. We find that the difficulties are similar to those of the subsectional case, something that we had not expected beforehand. In particular, undesirable oscillations appear when the number of basis functions is greater than a number dependent on the length-to-radius ratio, giving one a simple rule for choosing the number of basis functions so as to yield smooth solutions. We also compare results to ""true"" solutions, study the separate but important effects of roundoff, and give extensions to equations of the Pocklington type. © 2009 IEEE.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Electromagnetic Compatibility	en
dc.identifier.doi	10.1109/TEMC.2008.2010711	en
dc.identifier.isi	ISI:000266333000028	en
dc.identifier.volume	51	en
dc.identifier.issue	2	en
dc.identifier.spage	409	en
dc.identifier.epage	412	en