Matrix algorithms for modeling acoustic waves in piezoelectric multilayers

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 54, Issue 10, 2007, Pages 2016-2023

  Tan, Eng Leong ^a,b  

^a IEEE   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGORITHMS; PIEZOELECTRIC MULTILAYERS; RECURSIVE ALGORITHMS;

ALGORITHMS; BOUNDARY CONDITIONS; MULTILAYERS; NUMERICAL ANALYSIS; PIEZOELECTRIC DEVICES; TRANSFER MATRIX METHOD;

ACOUSTIC WAVES;

EID: 37049022363     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2007.496     Document Type: Article

References (22)

1. A. H. Fahmy and E. L. Adler, "Propagation of acoustic waves in multilayers: A matrix description," Appl. Phys. Lett., vol. 20, pp. 495-497, 1973.
2. E. L. Adler, "Matrix methods applied to acoustic waves in multilayers," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 37, no. 6, pp. 485-490, 1990.
3. E. L. Adler, "SAW and pseudo-SAW properties using matrix methods," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 41, no. 6, pp. 876-882, 1994.
4. P. M. Smith, "Dyadic Green's functions for multi-layer SAW substrates," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 48, no. 1, pp. 171-179, 2001.
5. V. Y. Zhang, J.-E. Lefebvre, C Bruneel, and T. Gryba, "A unified formalism using effective surface permittivity to study acoustic waves in various anisotropic and piezoelectric multilayers," IEEE Trans. Ultrason., Ferroelect, Freq. Contr., vol. 48, no. 5, pp. 1449-1461, 2001.
6. J. W. Dunkin, "Computation of modal solutions in layered elastic media at high frequencies," Bull. Seismol. Soc. Amer., vol. 55, pp. 335-358, 1965.
7. B. L. N. Kennett, Seismic Wave Propagation in Stratified Media. Cambridge: Cambridge Univ. Press, 1983.
8. G. J. Fryer and L. N. Frazer, "Seismic waves in a stratified anisotropic media," Geophys. J. R. Astron. Soc, vol. 78, pp. 691-710, 1984.
9. E. L. Tan, "A concise and efficient scattering matrix formalism for stable analysis of elastic wave propagation in multilayered anisotropic solids," Ultrasonics, vol. 41, pp. 229-236, 2003.
10. E. L. Tan, "A robust formulation of SAW Green's functions for arbitrarily thick multilayers at high frequencies," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 49, no. 7, pp. 929-936, 2002.
11. T. Pastureaud, V. Laude, and S. Ballandras, "Stable scatteringmatrix method for surface acoustic waves in piezoelectric multilayers," Appl. Phys. Lett, vol. 80, no. 14, pp. 2544-2546, 2002.
12. A. Reinhardt, V. Laude, A. Khelif, and S. Ballandras, "Dyadic Green's functions of a laminar plate," IEEE Trans. Ultrason., Ferroelect, Freq. Contr., vol. 51, no. 9, pp. 1157-1164, 2004.
13. B. Honein, A. M. B. Braga, P. Barbone, and G. Herrmann, "Wave propagation in piezoelectric layered media with some applications," in Proc. Conf. Recent Advances Active Contr. Sound Vib., 1991, pp. 50-63.
14. T. Wu and Y. Chen, "Exact analysis of dispersive SAW devices on ZnO/diamond/Si-layered structures," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 49, no. 1, pp. 142-149, 2002.
15. B. Collet, "Recursive surface impedance matrix methods for ultrasonic wave propagation in piezoelectric multilayers," Ultrasonics, vol. 42, pp. 189-197, 2004.
16. L. Wang and S. I. Rokhlin, "A compliance/stiffness matrix formulation of general Green's function and effective permittivity for piezoelectric multilayers," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 51, no. 4, pp. 453-463, 2004.
17. E. L. Tan, "Stiffness matrix method with improved efficiency for elastic wave propagation in layered anisotropic media," J. Acoust Soc. Amer., vol. 118, no. 6, pp. 3400-3403, 2005.
18. E. L. Tan, "Hybrid compliance-stiffness matrix method for stable analysis of elastic wave propagation in multilayered anisotropic media," J. Acoust. Soc. Amer., vol. 119, no. 1, pp. 45-53, 2006.
19. M. J. S. Lowe, "Matrix techniques for modeling ultrasonic waves in multilayered media," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 42, no. 4, pp. 525-542, 1995.
20. V. I. Fedosov, V. I. Anisimkin, I. M. Kotelyanskii, C. Caliendo, P. Verardi, and E. Verona, "Analysis of acoustic waves in multilayers using compound matrices," in Proc. IEEE Ultrason. Symp., 1996, pp. 207-212.
21. R. Ludwig and P. Bretchko, RF Circuit Design: Theory and Applications. Upper Saddle River, NJ: Prentice-Hall, 2000.
22. L. Wang and S. I. Rokhlin, "Modeling of wave propagation in layered piezoelectric media by a recursive asymptotic matrix method," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 51, no. 9, pp. 1060-1071, 2004.