Incorporation of viscoelastic loss into the plane wave expansion approach to modelling composite transducers

L. Orr, A.J. Mulholland, R.L. O'Leary, G. Hayward

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The plane wave expansion (PWE) method has been proposed as a theoretical model for periodic composite ultrasonic transducers. This paper extends previous work by importantly including viscoelastic loss in the material parameters. Some of the issues with model formulation, such as ill-conditioning in the large matrices, have been addressed through parameter scaling and Tikhonov regularisation. Identification of each mode of vibration has been carried out by visualising the spatial and temporal profiles of the displacement, electrical potential and Poynting vector. A comparison between the theoretical predictions and experimental data from a piezoelectric composite device is presented. The effect that the elastic properties of the passive phase have on device performance is also investigated. It is found that high shear attenuation in the passive phase gives rise to a large frequency stop band gap around the fundamental thickness mode.
Original languageEnglish
Number of pages4
Publication statusPublished - Oct 2006
Event2000 IEEE International Ultrasonics Symposium - Caribe Hilton, San Juan, Puerto Rico
Duration: 22 Oct 200025 Oct 2000


Conference2000 IEEE International Ultrasonics Symposium
Country/TerritoryPuerto Rico
CitySan Juan


  • elasticity
  • photonic band gap
  • periodic structures
  • mathematical model
  • equations
  • electric potential


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