Eliminating unphysical oscillations arising in galerkin solutions to classical integral equations of antenna theory: An asymptotic study*

Fikioris, G; Papakanellos, PJ; Mavrogordatos, TK; Lafkas, N; Koulikas, D

dc.contributor.author	Fikioris, G	en
dc.contributor.author	Papakanellos, PJ	en
dc.contributor.author	Mavrogordatos, TK	en
dc.contributor.author	Lafkas, N	en
dc.contributor.author	Koulikas, D	en
dc.date.accessioned	2014-03-01T01:35:38Z
dc.date.available	2014-03-01T01:35:38Z
dc.date.issued	2011	en
dc.identifier.issn	0036-1399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21130
dc.subject	Fredholm integral equation	en
dc.subject	Hallén	en
dc.subject	Pocklington	en
dc.subject	Wire antenna	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Antenna theory	en
dc.subject.other	Asymptotic study	en
dc.subject.other	Current distribution	en
dc.subject.other	Delta-function generator	en
dc.subject.other	Driving points	en
dc.subject.other	Fredholm integral equations	en
dc.subject.other	Galerkin	en
dc.subject.other	Linear antennas	en
dc.subject.other	Oscillating current	en
dc.subject.other	Pocklington	en
dc.subject.other	Wire antenna	en
dc.subject.other	Delta functions	en
dc.subject.other	Function generators	en
dc.subject.other	Integral equations	en
dc.subject.other	Magnetic fields	en
dc.subject.other	Numerical methods	en
dc.subject.other	Antennas	en
dc.title	Eliminating unphysical oscillations arising in galerkin solutions to classical integral equations of antenna theory: An asymptotic study*	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/100785727	en
heal.identifier.secondary	http://dx.doi.org/10.1137/100785727	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Previous works have discussed in detail the difficulties occurring when one applies numerical methods to Hallén's and Pocklington's integral equations for the current distribution along a linear antenna. When the so-called approximate kernel is used, the main difficulty is the appearance of unphysical oscillations near the driving point and/or near the ends of the antenna. Another work has proposed an easy-to-apply, possible remedy to overcome these unnatural oscillations. The basic idea is to define a new current from the near magnetic field produced by the original oscillating current. In the present paper, for the case of an antenna center-driven by a delta-function generator, we place this remedy on a much firmer basis by means of an asymptotic study for the case of the linear antenna of infinite length. We provide specific connections of our study to actual finite-length antennas. © 2011 Society for Industrial and Applied Mathematics.	en
heal.publisher	SIAM PUBLICATIONS	en
heal.journalName	SIAM Journal on Applied Mathematics	en
dc.identifier.doi	10.1137/100785727	en
dc.identifier.isi	ISI:000289974400008	en
dc.identifier.volume	71	en
dc.identifier.issue	2	en
dc.identifier.spage	559	en
dc.identifier.epage	585	en