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Related Experiment Videos

Doubly rotated contoured quartz resonators.

B K Sinha1

  • 1Schlumberger-Doll Research, Ridgefield, CT 06877-4108, USA. sinha@ridgefield.sdr.slb.com

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|September 26, 2001
PubMed
Summary
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Doubly rotated contoured quartz resonators enable stable clocks and dual-mode sensors. Models predict frequency spectra and temperature/stress effects, optimizing resonator design for enhanced performance.

Area of Science:

  • Materials Science
  • Electrical Engineering
  • Acoustics

Background:

  • Doubly rotated contoured quartz resonators are crucial for temperature-compensated clocks and dual-mode sensors.
  • Accurate modeling is essential for predicting frequency spectra and environmental effects.

Purpose of the Study:

  • To extend the Stevens-Tiersten technique for analyzing all three thickness modes of doubly rotated contoured quartz resonators.
  • To optimize resonator design parameters for suppressing unwanted modes and preventing activity dips.
  • To calculate temperature and stress-induced frequency changes as a function of crystalline orientation.

Main Methods:

  • Extended Stevens-Tiersten technique to include A, B, and C thickness modes.
  • Computational analysis of harmonic and anharmonic overtones.

Related Experiment Videos

  • Perturbation technique for calculating frequency shifts due to temperature and stress.
  • Phenomenological models for orientation-dependent frequency changes.

    • Main Results:

    • Optimized radius of curvature and electrode shape can suppress unwanted modes.
    • Temperature and stress effects on frequency are predictable based on crystalline orientation.
    • Normal trapping observed for specific harmonics of A, B, and C modes in SBTC-cut resonators.

    Conclusions:

    • The extended models provide a comprehensive approach to analyzing doubly rotated contoured quartz resonators.
    • Accurate prediction of frequency spectra and environmental responses facilitates device optimization.
    • The findings are vital for developing advanced stable clocks and precise dual-mode sensors.