Perturbation theory for degenerate acoustic eigenmodes

J. A. Kosinski, R. A. Pastore, J. Yang, X. Yang, J. A. Turner

Research output: Contribution to journalConference articlepeer-review

8 Scopus citations


A general formulation of the perturbation procedure applied to the eigenvalue problem for resonant frequencies in crystal resonators under biasing deformations is given, with explicit treatment of the case wherein an unperturbed resonant frequency is degenerate. A rotated Y-cut quartz resonator with degenerate thickness-shear modes (b-mode/c-mode crossover point) is analyzed as an example. Results indeed show that biasing fields can cause a degenerate frequency to split into slightly different frequencies. This phenomenon may be responsible in part for the jump discontinuities in frequency temperature curves and other frequency jump phenomena.

Original languageEnglish (US)
Pages (from-to)734-741
Number of pages8
JournalProceedings of the Annual IEEE International Frequency Control Symposium
StatePublished - 2003
EventProceedings of the 2003 IEEE International Frequency Control Symposium and PDA Exhibition Jointly with the 17th European Frequency and Time Forum - Tampa, FL., United States
Duration: May 4 2003May 8 2003

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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