Optical voltage sensor based on a quartz resonator

Bauerschmidt, P.; Lerch, Reinhard

doi:10.1109/ultsym.1996.583997

Cited by 4 publications

(2 citation statements)

References 5 publications

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“…In (1)- (4), ω M is the unperturbed angular frequency, ω is the perturbed angular frequency, and ∆ω M is the angular frequency shift. Here,ĉ KαLγ ,ê KLγ , andε KL are the effective elastic, piezoelectric, and dielectric constants, respectively; u M γ is a specific mode shape function under the unperturbed condition and ϕ M is the electric potential for this specific mode.…”

Section: Perturbation Integralmentioning

confidence: 99%

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Electroelastic Effect of Thickness Mode Langasite Resonators

Zhang

Turner

Yang

et al. 2007

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Langasite is a very promising material for resonators due to its good temperature behavior and high piezoelectric coupling, low acoustic loss, and high Q factor. The biasing effect for langasite resonators is crucial for resonator design. In this article, the resonant frequency shift of a thickness-mode langasite resonator is analyzed with respect to a direct current (DC) electric field applied in the thickness direction. The vibration modes of a thin langasite plate fully coated with an electrode are analyzed. The analysis is based on the theory for small fields superposed on a bias in electroelastic bodies and the first-order perturbation integral theory. The electroelastic effect of the resonator is analyzed by both analytical and finite-element methods. The complete set of nonlinear elastic, piezoelectric, dielectric permeability, and electrostrictive constants of langasite is used in the theoretical and numerical analysis. The sensitivity of electroelastic effect to nonlinear material constants is analyzed.

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Section: Perturbation Integralmentioning

confidence: 99%

“…This phenomenon can be explained by the nonlinear theory of piezoelectricity. This interesting effect has been applied to frequency-temperature compensation [1] and electrostatic voltage sensors [2]- [4]. A recent attempt also has been made to use the electroelastic effect to reduce the acceleration sensitivity of quartz resonators [5].…”

Section: Introductionmentioning

confidence: 99%