Please use this identifier to cite or link to this item: https://doi.org/10.1109/TUFFC.2002.1020163
Title: A robust formulation of SAW Green's functions for arbitrarily thick multilayers at high frequencies
Authors: Tan, E.L. 
Issue Date: Jul-2002
Citation: Tan, E.L. (2002-07). A robust formulation of SAW Green's functions for arbitrarily thick multilayers at high frequencies. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 49 (7) : 929-936. ScholarBank@NUS Repository. https://doi.org/10.1109/TUFFC.2002.1020163
Abstract: This paper presents a robust formulation of SAW Green's functions for arbitrarily thick multilayers at high frequencies. The formulation is an alternative to that based on the transfer matrix method, which suffers from numerical instabilities when the frequency and/or thickness parameters become large. This numerical difficulty can be attributed to the mixture of exponentially growing and decaying terms during the transfer matrix calculations. To be more instructive, the numerical instability is delineated in terms of upward-bounded and downward-bounded waves within each layer. In accordance with such boundedness association, a recursive scheme not involving any growing terms is developed based on the scattering matrices to eliminate the instability. The resulting reflection matrix method is extremely concise and preserves the simplicity and convenience of the transfer matrix method. Using the reflection matrices, the generalized Green's functions that relate the particle velocity and the rate of electric potential change to the surface stress and charge are formulated succinctly. These Green's functions are useful for having incorporated the electrical properties of the vacuum above the surface. Numerical computations are exemplified to demonstrate the instabilities of the transfer matrix method and to justify the robustness of the reflection matrix formula.
Source Title: IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
URI: http://scholarbank.nus.edu.sg/handle/10635/111674
ISSN: 08853010
DOI: 10.1109/TUFFC.2002.1020163
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