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.

Keywords

• optical resonators
• whispering gallery modes
• microcavities
• microwave photonics