TELECOMMUNICATIONS AND RADIO ENGINEERING - 2010 Vol. 69,
No 4 		 

 

 

 

Resonant Cavities in the Form of Bodies of Revolution of Complex Geometry: A Numerical Algorithm for Calculating the Spectrum


A.Yu.Popkov, A.Ye. Poedinchuk, & I.K. Kuzmichev
A. Usikov Institute of Radio Physics and Electronics,
National Academy of Sciences of Ukraine
12, Academician Proskura St., Kharkiv 61085, Ukraine
Address all correspondence to A.Yu.Popkov E-mail: lytc@yandex.ru

Abstract
Based on the Bubnov-Galerkin method, a numerical algorithm has been developed for calculating the spectra of axially symmetric electromagnetic oscillations in resonant cavities in the form of bodies of revolution with a perfectly conducting boundary surface. The algorithm stability and convergence are analyzed in dependence on the number of the Bubnov-Galerkin basis functions. The algorithm potential is demonstrated through the example of a spherical resonant cavity. Eigenfrequency spectra have been analyzed for resonant cavities whose boundaries are formed by spherical, conical or cylindrical surfaces. Natural oscillation modes have been identified whose structure is similar to that of the jumping ball oscillations in open quasi-optical dual-mirror resonant cavities with spherical mirrors.

KEY WORDS: cavity resonators, eigenfrequency spectrum



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pages 341-354

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