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Non-iterative, stable analysis of surface acoustic waves in anisotropic piezoelectric multilayers using spectral collocation method

At a Glance

Section titled ā€œAt a Glanceā€
MetadataDetails
Publication Date2018-07-14
JournalJournal of Sound and Vibration
AuthorsBo Lan
InstitutionsImperial College London
Citations9

Abstract

Section titled ā€œAbstractā€

Surface acoustic waves (SAWs) enjoy profound importance across many disciplines, and one of their most prominent applications are the vast ranges of SAW devices made of piezoelectric multilayers. Thus a stable and efficient algorithm of analysing key SAW parameters in arbitrary layered media is of wide interest. This paper introduces such an algorithm based on the spectral collocation method (SCM). It firstly explains the fundamental governing equations and their numerical calculations via the SCM in a self-contained way, and then demonstrates the technique on the well-studied ZnO/diamond/Si material system, where the key factors of phase velocity, electromechanical coupling coefficient and effective permittivity are evaluated and discussed in detail. Compared to the widely employed root-finding approach, it is shown that the SCM is intuitive to formulate and code, and is highly accurate; it delivers all modes at once, and does not suffer from numerical instabilities. The establishment of the method on this simple example also implies potential applications to more general material and geometry types that could be difficult for the conventional approaches.

Tech Support

Section titled ā€œTech Supportā€

Original Source

Section titled ā€œOriginal Sourceā€

References

Section titled ā€œReferencesā€
  1. 1885 - On waves propagated along the plane surface of an elastic solid
  2. 2015 - Application of laser ultrasonic technique for non-contact detection of structural surface-breaking cracks [Crossref]
  3. 2009 - Determination of elastic constants of generally anisotropic inclined lamellar structure using line-focus acoustic microscopy [Crossref]
  4. 2014 - Surface acoustic wave microfluidics [Crossref]
  5. 2016 - Three-dimensional manipulation of single cells using surface acoustic waves [Crossref]
  6. 2008 - Surface acoustic wave biosensors: a review [Crossref]
  7. 1970 - Properties of surface acoustic waves [Crossref]

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