title: Simple design rules for optimal design of dielectric temperature-compensated sapphire resonators.
abstract: It has been shown that the use of two dielectric crystals with opposite temperature coefficient of permittivity allows the realization of a resonator with a zero temperature coefficient of frequency. By using sapphire and rutile materials, which have low-loss tangents, some compensated resonators with very high Q-factors have been realized. In this work we develop rules that greatly simplify the design of a dielectric-compensated resonator. We show that the optimum design for compensation at a specific temperature may be determined by simply selecting the aspect ratio of the sapphire resonator.
authors.forename: Michael E
authors.initials: ME
authors.lastname: Tobar
authors.forename: Dominique
authors.initials: D
authors.lastname: Cros
authors.forename: John G
authors.initials: JG
authors.lastname: Hartnett
authors.forename: Pierre
authors.initials: P
authors.lastname: Blondy
authors.forename: Pierre
authors.initials: P
authors.lastname: Guillon