Cutoff frequencies of eccentric circular-elliptic metallic waveguides

Roumeliotis John, A; Savaidis Stylianos, P

dc.contributor.author	Roumeliotis John, A	en
dc.contributor.author	Savaidis Stylianos, P	en
dc.date.accessioned	2014-03-01T01:09:47Z
dc.date.available	2014-03-01T01:09:47Z
dc.date.issued	1994	en
dc.identifier.issn	0018-9480	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11193
dc.subject	Boundary Condition	en
dc.subject	Electromagnetic Field	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Electric conductors	en
dc.subject.other	Electromagnetic fields	en
dc.subject.other	Function evaluation	en
dc.subject.other	Geometry	en
dc.subject.other	Numerical methods	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Circular elliptic metallic waveguides	en
dc.subject.other	Derterminantal equation	en
dc.subject.other	Elliptical cylindrical wave functions	en
dc.subject.other	Interfocal distance	en
dc.subject.other	Mathieu functions	en
dc.subject.other	Translational addition theorems	en
dc.subject.other	Truncation	en
dc.subject.other	Circular waveguides	en
dc.title	Cutoff frequencies of eccentric circular-elliptic metallic waveguides	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/22.330130	en
heal.identifier.secondary	http://dx.doi.org/10.1109/22.330130	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	In this paper semianalytical expressions for the cutoff frequencies of eccentric circular-elliptic perfectly conducting waveguides, are derived for both TM and TE modes. Two types of waveguides are considered, one with circular inner and elliptic outer conductor and one with elliptic inner and circular outer conductor. The electromagnetic field is expressed in terms of both circular and elliptical cylindrical wave functions, which are connected with one another by well-known expansion formulas. Translational addition theorems for circular cylindrical wave functions are also used for the satisfaction of the boundary conditions in the outer conductor. When the solutions are specialized to small values of h = kc/2 (c is the interfocal distance of the elliptic conductor and k the cutoff wavenumber) semianalytical expressions of the form f(h) = f(0)[1 + gh2 + O(h4)] are obtained for the cutoff frequencies of the corresponding waveguide. For several values of the parameters, both waveguides may appear larger operational bandwidth as compared to that of the corresponding eccentric circular one. Numerical results for both waveguides and both kinds of modes are given for various values of the parameters.	en
heal.publisher	IEEE, Piscataway, NJ, United States	en
heal.journalName	IEEE Transactions on Microwave Theory and Techniques	en
dc.identifier.doi	10.1109/22.330130	en
dc.identifier.isi	ISI:A1994PP98200018	en
dc.identifier.volume	42	en
dc.identifier.issue	11	en
dc.identifier.spage	2128	en
dc.identifier.epage	2138	en