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

Abstract

<p style="text-align:justify;" class="MsoNormal"> <span lang="EN-US">The characterization of </span><span lang="EN-US">fi</span><span lang="EN-US">nite length Surface Acoustic Wave (SAW) and Bulk acoustic Wave (BAW) resonators is ad</span><span lang="EN-US">dressed here. The Finite Element Analysis (FEA) induces arti</span><span lang="EN-US">fi</span><span lang="EN-US">cial wave re</span><span lang="EN-US">fl</span><span lang="EN-US">ections 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 re</span><span lang="EN-US">fl</span><span lang="EN-US">ections. In this work, we </span><span lang="EN-US">fi</span><span lang="EN-US">rst demonstrate the basis of PML adapted to FEA formalism. Next, the results of such a method </span><span lang="EN-US">are</span><span lang="EN-US"> depicted allowing a discussion on the behavior of </span><span lang="EN-US">fi</span><span lang="EN-US">nite acoustic resonators.</span> </p

Influence of coupling with shear horizontal surface acoustic wave on lateral propagation of Rayleigh surface acoustic wave on 128°YX-LiNbO3

“…Small discrepancies exist in the Q level and location of the spurious resonances. They may be due to ignorance of bulk wave scattering and=or improper setting of the perfect matched layer (PML) 23,24) used in the FEM analysis.…”

Finite-Element Modeling of Thermoelastic Attenuation in Piezoelectric Surface Acoustic Wave Devices

“…Otherwise, larger dimensions need to be constructed wasting too much computing resource. Demonstration of PML in modeling SAW devices in frequency and time domain can be found in [11] and [12], respectively. Time domain implementation is rather complicated due to the frequency dependent nature of some parameters in PML setting.…”

Stability of Perfectly Matched Layers for Time Fractional Schr&#246;dinger Equation

“…Singer and Turkel studied the Helmholtz equation based on the perfectly matched layer method [6]. Karim and the coauthors combined perfectly matched layer with finite element method [7] to study the numerical modeling of acoustic devices in piezoelectric. As a fundamental model of fractional quantum mechanics [8], the fractional Schrödinger equation [9] [10] has attracted massive attention from both physicists and mathematicians; see the references [11] [12] [13] and references therein.…”