On the use of nonsingular kernels in certain integral equations for thin-wire circular-loop antennas

Fikioris, G; Papakanellos, PJ; Anastassiu, HT

dc.contributor.author	Fikioris, G	en
dc.contributor.author	Papakanellos, PJ	en
dc.contributor.author	Anastassiu, HT	en
dc.date.accessioned	2014-03-01T01:28:57Z
dc.date.available	2014-03-01T01:28:57Z
dc.date.issued	2008	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19044
dc.subject	Galerkin method	en
dc.subject	Integral equations	en
dc.subject	Loop antennas	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Fourier series	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Integral equations	en
dc.subject.other	Mathematical models	en
dc.subject.other	Circular-loop antenna	en
dc.subject.other	Excitation model	en
dc.subject.other	Fourier coefficient	en
dc.subject.other	Loop antennas	en
dc.title	On the use of nonsingular kernels in certain integral equations for thin-wire circular-loop antennas	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAP.2007.913076	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAP.2007.913076	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Fundamental properties of certain popular integral equations for thin-wire circular-loop antennas with nonsingular kernels are studied. The cornerstone of our study is a large-n asymptotic formula for the n'th Fourier coefficient of the nonsingular kernel. Four different methods of driving the circular loop are considered; namely, the delta-function generator, the finite-gap generator, a certain type of frill generator, and the case of plane-wave incidence. The excitation model is crucial to our discussions, since it determines the behavior of the solution convergence. Also discussed are associated difficulties that may arise when moment methods are applied to the aforementioned equations, as well as a simple improvement to the Fourier-series method for determining the current in the case of the frill generator. The main results herein closely parallel recent results for the case of the straight antenna, and similarities and differences between the straight and circular cases are discussed. © 2008 IEEE.	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.2007.913076	en
dc.identifier.isi	ISI:000252337200019	en
dc.identifier.volume	56	en
dc.identifier.issue	1	en
dc.identifier.spage	151	en
dc.identifier.epage	157	en