title: Analysis of the rutile-ring method of frequency-temperature compensating a high-Q whispering gallery sapphire resonator.
abstract: The rutile-ring method of dielectrically frequency-temperature compensating a high-Q whispering gallery (WG) sapphire resonator is presented. Two and three-dimensional finite element (FE) analysis has been implemented to design and analyze the performance of such resonators, with excellent agreement between theory and experiment. A high-Q factor of 30 million at 13 GHz and compensation temperature of 56 K was obtained. It is shown the frequency-temperature compensation can occur either because the rutile adds a small perturbation to the sapphire resonator or because of a mode interaction with a resonant mode in the rutile. The characteristics of both of these methods are described, and it is shown that for high frequency stability, it is best to compensate perturbatively.
authors.affiliation: Department of Physics, University of Western Australia, Nedlands 6903, WA, Australia. mike@physics.uwa.edu.au
authors.forename: M E
authors.initials: ME
authors.lastname: Tobar
authors.forename: J G
authors.initials: JG
authors.lastname: Hartnett
authors.forename: G
authors.initials: G
authors.lastname: Duchiron
authors.forename: D
authors.initials: D
authors.lastname: Cros
authors.forename: E N
authors.initials: EN
authors.lastname: Ivanov
authors.forename: P
authors.initials: P
authors.lastname: Blondy
authors.forename: P
authors.initials: P
authors.lastname: Guillon