Cutoff wavelengths of elliptical metallic waveguides

Tsogkas, GD; Roumeliotis, JA; Savaidis, SP

dc.contributor.author	Tsogkas, GD	en
dc.contributor.author	Roumeliotis, JA	en
dc.contributor.author	Savaidis, SP	en
dc.date.accessioned	2014-03-01T01:30:05Z
dc.date.available	2014-03-01T01:30:05Z
dc.date.issued	2009	en
dc.identifier.issn	0018-9480	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19467
dc.subject	Analytical	en
dc.subject	Closed-form expressions	en
dc.subject	Cutoff wavelengths	en
dc.subject	Elliptical metallic waveguides	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Algebraic expression	en
dc.subject.other	Analytical	en
dc.subject.other	Analytical expressions	en
dc.subject.other	Closed form	en
dc.subject.other	Closed-form expressions	en
dc.subject.other	Cutoff wavelengths	en
dc.subject.other	Cylindrical wave function	en
dc.subject.other	Elliptical metallic waveguides	en
dc.subject.other	Elliptical waveguides	en
dc.subject.other	Expansion coefficients	en
dc.subject.other	Major axis	en
dc.subject.other	Metallic waveguide	en
dc.subject.other	Numerical results	en
dc.subject.other	Perfectly conducting walls	en
dc.subject.other	Perturbation method	en
dc.subject.other	Polar coordinate	en
dc.subject.other	Electromagnetic fields	en
dc.subject.other	Harmonic analysis	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Wave functions	en
dc.subject.other	Waveguides	en
dc.subject.other	Wavelength	en
dc.title	Cutoff wavelengths of elliptical metallic waveguides	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TMTT.2009.2029636	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TMTT.2009.2029636	en
heal.identifier.secondary	5238616	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	The cutoff wavelengths lambda(cmn) of elliptical metallic waveguides with perfectly conducting walls are determined analytically. Two different methods are used for the evaluation. In the first, the electromagnetic field is expressed in terms of elliptical-cylindrical wave functions. In the second, a shape perturbation method, the field is expressed in terms of circular-cylindrical wave functions only, while the equation of the elliptical boundary is given in polar coordinates. Analytical expressions are obtained for the cutoff wavelengths, when the solution is specialized to small values of the eccentricity h = c/2a, (h << 1), with c the interfocal distance of the elliptical waveguide and 2a the length of its major axis. In this case, exact closed-form algebraic expressions, free of Mathieu as well as of Bessel functions, are obtained for the expansion coefficients g(mn)((2)) and g(mn)((4)) in the resulting relation lambda(cmn)(h) = lambda(cmn)(0) [1 + g(mn)((2))h(2) + g(mn)((4))h(4) + O (h(6))] for the cutoff wavelengths. These expressions are valid for each m and n, namely, for the general mode. Numerical results for all types of modes and comparison with existing ones are also included.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Microwave Theory and Techniques	en
dc.identifier.doi	10.1109/TMTT.2009.2029636	en
dc.identifier.isi	ISI:000271100000013	en
dc.identifier.volume	57	en
dc.identifier.issue	10	en
dc.identifier.spage	2406	en
dc.identifier.epage	2415	en