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H. Allik, K. M. Webman and J. T. Hunt, “Vibrational Response of Sonar Transducers Using Piezoelectric Finite Elements,” Journal of the Acoustical Society of America, Vol. 56, No. 6, 1974, pp. 1782-1791. doi:10.1121/1.1903513

has been cited by the following article:

• TITLE: Finite Element Analysis in Combination with Perfectly Matched Layer to the Numerical Modeling of Acoustic Devices in Piezoelectric Materials

  AUTHORS: Dbich Karim, Sylvain Ballandras, Thierry Laroche, Karl Wagner, Jean-Michel Brice, Xavier Perois

  KEYWORDS: Finite Element Method; Perfectly Matched Layer; Surface Acoustic Wave; Piezoelcetric; Numerical Modeling

  JOURNAL NAME: Applied Mathematics, Vol.4 No.5A, May 27, 2013

  ABSTRACT: The characterization of finite length Surface Acoustic Wave (SAW) and Bulk acoustic Wave (BAW) resonators is addressed here. The Finite Element Analysis (FEA) induces artificial wave reflections at the edges of the mesh. In fact, these ones do not contribute in practice to the corresponding experimental response. The Perfectly Matched Layer (PML) method, allows to suppress the boundary reflections. In this work, we first demonstrate the basis of PML adapted to FEA formalism. Next, the results of such a method are depicted allowing a discussion on the behavior of finite acoustic resonators.