STUDY OF WHISPERING-GALLERY MODES IN ANISOTROPIC SINGLE-CRYSTAL DIELECTRIC RESONATORS

The Rayleigh-Ritz method and the finite element method nongenerating s purious solutions are employed for analysis of whispering gallery mode s (WGM's) in cylindrical single-crystal anisotropic dielectric resonat ors. These methods allow accurate computation of the resonant frequenc ies, the Q-factors (depending on the dielectric and on the conductor l osses), and the electromagnetic field distributions for all WGM's in t he presence of additional elements like metal shields, MIC substrate, or supports. Different families of modes are studied both theoreticall y and experimentally. The mode coupling phenomenon is investigated. A WGM single-crystal quartz resonator is presented having an unloaded Q- factor greater than 30000 at about 100 GHz, including radiation and di electric losses.