Study of whispering gallery modes in anisotropic single-crystal dielectric resonators

• Published in: IEEE transactions on microwave theory and techniques Vol. 42; no. 1; pp. 56 - 61
• Main Authors: Krupka, J., Cros, D., Aubourg, M., Guillon, P.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.1994; Institute of Electrical and Electronics Engineers
• Subjects: Anisotropic magnetoresistance; Applied sciences; Circuit properties; Conductors; Dielectric losses; Dielectric substrates; Distributed computing; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Finite element methods; Magnetic losses; Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits; Q factor; Resonant frequency; Whispering gallery modes; Dielectric resonator; Modal analysis; Q factor; Cylindrical resonator; Quartz; Single crystal; Whispering gallery mode; Anisotropic structure; Field distribution; Sapphire; Resonance frequency; Microwave resonator; Isotropic structure; Alumina
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/22.265528

The Rayleigh-Ritz method and the finite element method nongenerating spurious solutions are employed for analysis of whispering gallery modes (WGMs) in cylindrical single-crystal anisotropic dielectric resonators. These methods allow accurate computation of the resonant frequencies, the Q-factors (depending on the dielectric and on the conductor losses), and the electromagnetic field distributions for all WGMs in the presence of additional elements like metal shields, MIC substrate, or supports. Different families of modes are studied both theoretically 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 dielectric losses.< >