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Calculation of the Resonant Frequencies for a Whispering Gallery Mode Optical Resonator

Abstract

A method of calculation of resonant frequencies and thus free spectral range of high-Q dielectric disk resonators with whispering gallery modes is proposed. The method is based on application to the dispersion equation derived for a dielectric cylinder with unlimited length, dimensional quantization, due to the requirement of phase balance for the standing waves in the resonator. The simplified expressions suitable for calculation of optical microcavities used in the devices of radio photons are obtained.

About the Authors

G. A. Zaretskaya
Saint Petersburg Electrotechnical University "LETI"
Russian Federation
Master’s Degree of techniques and technology in electronics and micro electronics, post-graduate student of the department of Physical Electronics and Technology


A. V. Drozdovskii
Saint Petersburg Electrotechnical University "LETI"
Russian Federation
Ph. D. in physics and mathematics, assistant of the department of Physical Electronics and Technology


B. A. Kalinikos
Saint Petersburg Electrotechnical University "LETI"
Russian Federation
D. Sc. in physics and mathematics, Professor, the Chief of the Department of Physical Electronics and Technology


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Review

For citations:


Zaretskaya G.A., Drozdovskii A.V., Kalinikos B.A. Calculation of the Resonant Frequencies for a Whispering Gallery Mode Optical Resonator. Journal of the Russian Universities. Radioelectronics. 2017;(1):56-62. (In Russ.)

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ISSN 1993-8985 (Print)
ISSN 2658-4794 (Online)