Computation of plate wave dispersion diagrams and surface wave velocities without explicit boundary conditions

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 57, Issue 7, 2010, Pages 1649-1654

  Laude, Vincent ^a   Assouar, Badreddine M ^b   Hou, Zhilin ^c  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

^b INSTITUT JEAN LAMOUR   (France)

^c SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION DIAGRAMS; EIGENVALUE PROBLEM; FREE-SURFACE BOUNDARY CONDITIONS; GENERIC METHOD; INITIAL GUESS; MULTILAYER PLATES; NON-ITERATIVE; PHONONIC CRYSTAL; PLANE WAVE EXPANSION METHOD; PLATE WAVES; SINGLE PLATES; SOLID-SOLID; SURFACE ACOUSTIC WAVES; SURFACE WAVE VELOCITY; WAVE DISPERSION; WAVE VECTOR;

ACOUSTIC SURFACE WAVE DEVICES; ACOUSTIC WAVES; ACOUSTICS; BOUNDARY CONDITIONS; ELECTROMAGNETIC DISPERSION; PLATES (STRUCTURAL COMPONENTS); SURFACE WAVES; SURFACES; SWITCHING SYSTEMS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 77954777089     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2010.1595     Document Type: Article

References (22)

1. D. Royer and E. Dieulesaint, Elastic Waves in Solids, vol.1, New York: Wiley, 1999.
2. A. H. Fahmy and E. L. Adler, "Propagation of surface acoustic waves in multilayers: A matrix description," Appl. Phys. Lett., vol.22, no.10, pp. 495-497, 1973.
3. A. Reinhardt, T. Pastureaud, S. Ballandras, and V. Laude, "Scattering matrix method for modeling acoustic waves in piezoelectric, fluid, and metallic multilayers," J. Appl. Phys., vol.94, no.10, pp. 6923-6931, 2003.
4. P. Ventura, J.-M. Hode, J. Desbois, and M. Solal, "Combined FEM and Green's function analysis of periodic SAW structure, application to the calculation of reflection and scattering parameters," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol.48, no.5, pp. 1259-1274, 2001.
5. S. Ballandras, A. Reinhardt, V. Laude, A. Soufyane, S. Camou, W. Daniau, T. Pastureaud, W. Steichen, R. Lardat, M. Solal, and P. Ventura, "Simulations of surface acoustic wave devices built on stratified media using a mixed finite element/boundary integral formulation," J. Appl. Phys., vol.96, no.12, pp. 7731-7741, 2004.
6. M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, "Acoustic band structure of periodic elastic composites," Phys. Rev. Lett., vol.71, no.13, pp. 2022-2025, 1993.
7. V. Laude, M. Wilm, S. Benchabane, and A. Khelif, "Full band gap for surface acoustic waves in a piezoelectric phononic crystal," Phys. Rev. E Stat. Nonlin. Soft Matter Phys., vol.71, no.3, pt. 2B, art. no. 036607, 2005.
8. Z. Hou and B. M. Assouar, "Modeling of Lamb wave propagation in plate with two-dimensional phononic crystal layer coated on uniform substrate using plane-wave-expansion method," Phys. Lett. A, vol.372, no.12, pp. 2091-2097, 2008.
9. M. Wilm, S. Ballandras, V. Laude, and T. Pastureaud, "A full 3-D plane-wave-expansion model for piezocomposite structures," J. Acoust. Soc. Am., vol.112, no.3, pt. 1, pp. 943-952, 2002.
10. T.-T. Wu, Z.-G. Huang, and S. Lin, "Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy," Phys. Rev. B, vol.69, no.9, art. no. 094301, 2004.
11. E. L. Adler, "Matrix methods applied to acoustic waves in multilayers," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol.37, no.6, pp. 485-490, 1990.
12. J. J. Campbell and W. R. Jones, "A method for estimating optimal crystal cuts and propagation direction for excitation of piezoelectric surface waves," IEEE Trans. Sonics Ultrason., vol.SU-15, no.4, pp. 209-217, 1968.
13. T. Pastureaud, V. Laude, and S. Ballandras, "Stable scattering-matrix method for surface acoustic waves in piezoelectric multilayers," Appl. Phys. Lett., vol.80, no.14, pp. 2544-2546, 2002.
14. E. L. Tan, "A robust formulation of SAW Green's functions for arbitrarily thick multilayers at high frequencies," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol.49, no.7, pp. 929-936, 2002.
15. E. L. Tan, "Matrix algorithms for modeling acoustic waves in piezoelectric multilayers," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol.54, no.10, pp. 2016-2023, 2007.
16. V. Y. Zhang and V. Laude, "Unified and stable scattering matrix formalism for acoustic waves in piezoelectric stacks," J. Appl. Phys., vol.104, no.6, art. no. 064916, 2008.
17. S. Datta and B. J. Hunsinger, "Analysis of surface waves using orthogonal functions," J. Appl. Phys., vol.49, no.2, pp. 475-479, 1978.
18. Y. Kim and W. D. Hunt, "Acoustic fields and velocities for surfaceacoustic-wave propagation in multilayered structures: An extension of the Laguerre polynomial approach," J. Appl. Phys., vol.68, no.10, pp. 4993-4997, 1990.
19. J. E. Lefebvre, V. Zhang, J. Gazalet, and T. Gryba, "Conceptual advantages and limitations of the Laguerre polynomial approach to analyze surface acoustic waves in semi-infinite substrates and multilayered structures," J. Appl. Phys., vol.83, no.1, pp. 28-34, 1998.
20. J. E. Lefebvre, V. Zhang, J. Gazalet, and T. Gryba, "Legendre polynomial approach for modeling free-ultrasonic waves in multilayered plates," J. Appl. Phys., vol.85, no.7, pp. 3419-3427, 1999.
21. A. Raherison, F. E. Ratolojanahary, J. E. Lefebvre, and L. Elmaimouni, "Legendre polynomial modeling of composite bulk acoustic wave resonators," J. Appl. Phys., vol.104, no.1, art. no. 014508 2008.
22. V. Laude, Y. Achaoui, S. Benchabane, and A. Khelif, "Evanescent Bloch waves and the complex band structure of phononic crystals," Phys. Rev. B, vol.80, no.9, art. no. 092301 2009.