Approximate calculation of eigenfrequencies of biconical microwave cavities

Oleg O. Drobakhin; P. I. Zabolotnyy; Ye. N. Privalov

doi:10.3103/S0735272713030035

Authors

Oleg O. Drobakhin Oles Honchar Dnipro National University, Ukraine https://orcid.org/0000-0003-2624-9122
P. I. Zabolotnyy Institute of Technical Mechanics, NASU & NSAU, Ukraine
Ye. N. Privalov Institute of Technical Mechanics, NASU & NSAU, Ukraine

DOI:

https://doi.org/10.3103/S0735272713030035

Abstract

Simplified expressions are obtained for the calculation of the eigenfrequencies of a biconical cavity with large apex angles with the use of two symmetrical points at the boundaries of overlapping partial regions in the form of a spherical sector. Using these expressions, the dependence of the cavity eigenfrequencies on the apex angles of the conical elements is studied, and the results are compared with those obtained by the classical finite-element method. The applicability range of the simplified expressions is identified, and recommendations on their use are given.

References

DROBAKHIN, O.O.; ZABOLOTNYY, P.I.; PRIVALOV, YE.N. Taking into account the impact of coupling elements on the resonance phenomena in biconical resonators. Radioelectron. Commun. Syst., v.53, n.7, p.389-394, 2010. doi:10.3103/S0735272710070071.

DROBAKHIN, O.O.; ZABOLOTNYY, P.I.; PRIVALOV, YE.N. Resonant properties of microwave resonators in the shape of a spherical sector. Radioelektronika. Informatika. Upravlenie, n.2(21), p.11-16, 2009.

PROKHODA, I.G. AND CHUMACHENKO, V.P. Partial overlapping regions method for studying waveguide-resonant systems of complex shape. Izv. Vyssh. Uchebn. Zaved., Radiofizika, v.16, n.10, p.1578-1582, 1973.

ONUFRIENKO, V.М. AND PROKHODA, I.G. Calculation of waveguide transformers with partial dielectric filling. Radiotekh. Elektron., v.21, n.6, p.1318-1320, 1976.

GRIGORIEV, А.D. AND YANKEVICH, V.B. Microwave Resonators and Resonant Decelerating Systems: Numerical Calculations and Design Methods. Moscow: Radio i Svyaz’, 1984. 248 p. [in Russian].

ELLIOTT, R.NAGELBERG. Phase progression in conical waveguides. Bell Sys. Tech. J., v.46, n.10, p.2453-2466, 1967.

BATES, R.Н.Т. The theory of the point-matching method for perfectly conducting waveguides and transmission lines. IEEE Trans. Microwave Theory Tech., v.17, n.6, p.294-301, 1969. http://dx.doi.org/10.1109/TMTT.1969.1126960">doi:10.1109/TMTT.1969.1126960.

SILVESTER, P.P. AND FERRARI, R.L. Finite Elements for Electrical Engineers. New York: Cambridge University Press, 1983. 229 p.