Field patterns of resonant noncircular closed-loop arrays: Further analysis

Fikioris, G; Zaharopoulos, SD; Apostolidis, PD

dc.contributor.author	Fikioris, G	en
dc.contributor.author	Zaharopoulos, SD	en
dc.contributor.author	Apostolidis, PD	en
dc.date.accessioned	2014-03-01T01:22:24Z
dc.date.available	2014-03-01T01:22:24Z
dc.date.issued	2005	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16555
dc.subject	Directive antennas	en
dc.subject	Poisson sum formula	en
dc.subject	Resonances	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Antenna arrays	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Integration	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical methods	en
dc.subject.other	Resonance	en
dc.subject.other	Continuous-current model	en
dc.subject.other	Elliptical closed-loop arrays	en
dc.subject.other	Field patterns	en
dc.subject.other	Poisson sum formula	en
dc.subject.other	Resonant closed-loop arrays	en
dc.subject.other	Directive antennas	en
dc.title	Field patterns of resonant noncircular closed-loop arrays: Further analysis	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAP.2005.859760	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAP.2005.859760	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Previous papers have introduced the continuous-current model for resonant closed-loop arrays of cylindrical dipoles and, for a certain class of array shapes, have determined the resulting field patterns analytically. Those analytical calculations involve several approximations. In the present paper, we first study the aforementioned model numerically for the case of elliptical closed-loop arrays. The results-which involve fewer approximations than those of the previous papers, but which refer to different array shapes-imply that elliptical arrays have a bidirectional, highly directive field and, unlike conventional arrays, have no sidelobes. Combining analytical and numerical methods, we then investigate the relationship between the aforementioned continuous-current model and what we call the discrete-current model which, in a certain sense, is more realistic. The results indicate that, subject to suitable conditions, the two models yield virtually identical results. In our analytical investigations, an important tool is the Poisson summation formula for finite sums; we have devoted a stand-alone section to this formula which supplements recent, unrelated publications in antenna theory. © 2005 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.2005.859760	en
dc.identifier.isi	ISI:000234040200013	en
dc.identifier.volume	53	en
dc.identifier.issue	12	en
dc.identifier.spage	3906	en
dc.identifier.epage	3914	en