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Updated: Jun 25, 2026

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
Nonlinear coupling between thickness- shear and thickness-stretch modes in a rotated Y-cut quartz resonator
Zengtao Yang1, Yuantai Hu, Ji Wang
1Institute of Mechanics and Sensing Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan, China.
Abstract:
We point out an implication of the Poynting effect in nonlinear elasticity. It is shown that, due to the Poynting effect, thickness-stretch vibration can be induced in a plate thickness-shear mode resonator of rotated Y-cut quartz when the thickness-shear deformation is no longer infinitesimal. This nonlinear coupling is particularly strong when the frequency of the thickness-stretch mode is twice the frequency of the thickness-shear mode. The induced thickness-stretch vibration affects the operating thickness-shear mode through Mathieu's equation.
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