Propagation of thickness shear waves in a periodically corrugated quartz crystal plate and its application exploration in acoustic wave filters

Peng Li, Li Cheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


The propagation of thickness shear waves in a periodically corrugated quartz crystal plate is investigated in the present paper using a power series expansion technique. In the proposed simulation model, an equivalent continuity of shear stress moment is introduced as an approximation to handle sectional interfaces with abrupt thickness changes. The Bloch theory is applied to simulate the band structures for three different thickness variation patterns. It is shown that the power series expansion method exhibits good convergence and accuracy, in agreement with results by finite element method (FEM). A broad stop band can be obtained in the power transmission spectra owing to the trapped thickness shear modes excited by the thickness variation, whose physical mechanism is totally different from the well-known Bragg scattering effect and is insensitive to the structural periodicity. Based on the observed energy trapping phenomenon, an acoustic wave filter is proposed in a quartz plate with sectional decreasing thickness, which inhibits wave propagation in different regions.
Original languageEnglish
Pages (from-to)100-109
Number of pages10
Publication statusPublished - 1 May 2017


  • Acoustic wave filter
  • Energy trapping
  • Phononic quartz crystal plate
  • Power series expansion
  • Thickness shear waves

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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