Diffraction of transverse horizontal waves in Fibonacci piezoelectric superlattices

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 55, Issue 3, 2004, Pages 519-533

  Otero, J A ^a   Calas H ^a   Rodriguez Ramos R ^b   Maugin, G A ^c   Monsivais G ^d   Perez Alvarez R ^b  

^a INSTITUTO DE CIBERNÉTICA   (Cuba)

^b UNIVERSITY OF HAVANA   (Cuba)

^c SORBONNE UNIVERSITÉ   (France)

^d UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Fibonacci piezocomposites; Layered composites; Superlattice; Wave propagation

Indexed keywords

EID: 2942618330     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-004-3028-9     Document Type: Article

References (31)

1. L. M. Brekhovskikh, Waves in Layered Media. Academic, New York, 1960.
2. W. T. Thomson, Transmission of elastic waves through a stratified medium, J. Appl. Phys. 21 (1950), 89-93.
3. N.A. Haskell, The dispersion of surface waves on multilayered media, Bull. Seismol. Soc. Am. 43 (1953), 17-34.
4. J. S. Sastry and M. L. Munjal, A transfer matrix approach for evaluation of the response of a multilayer infinite plate to a two-dimensional pressure excitation, J. Sound. Vib. 182 (1995), 109-128.
5. J. W. Dunkin, Computation of modal solutions in layered elastic media at high frequencies, Bull. Seismol. Soc. Am. 55 (1965), 335-358.
6. D. Lévesque and L. Piché, A robust transfer matrix formulation for the ultrasonic response of multilayered absorbing-media, J. Acoust. Soc. Am. 92 (1992), 452-467.
7. Lowe, M. J. S., Matrix techniques for modelling ultrasonic waves in multilayered media, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 42 (1995), 525-542.
8. E. L. Adler, Matrix methods applied to acoustic wave in multilayers, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 37 (1995), 485-490.
9. A. H. Nayfeh, The general problem of elastic wave propagation in multilayered anisotropic media, J. Acoust. Soc. Am. 89 (1991), 1521-1531.
10. A. H. Nayfeh, Wave Propagation in Layered Anisotropic Media. North-Holland, Amsterdam, 1995.
11. S.I. Rokhlin and Y. J. Wang, Equivalent boundary conditions for thin orthotropic layer between two solids: Reflection, refraction, and interfaces waves, J. Acoust. Soc. Am. 91 (1992), 1875-1887.
12. A. M. B. Braga and G. Herrmann, Floquet waves in anisotropic periodically layered com posites, J. Acoust. Soc. Am. 91 (1992), 1211-1227.
13. A. L. Shuvalov and A. S. Gorkunova, Transverse acoustic wave in piezoelectric and ferro electric antiphase superlattices, Phys. Rev. B 59 (1997), 9070-9077.
14. H. Schmidt and G. Tango, Efficient global matrix approach to the computation of synthetic seismograms, Geophys. J. R. Astr. Soc. 84 (1986), 331-359.
15. H. Schmidt and F.B. Jensen, A full wave solution for propagation in multilayered viscoelastic media with application to Gaussian beam reflection at fluid-solid interfaces, J. Acoust. Soc. Am. 77 (1985), 813-825.
16. A. K. Mal, Wave propagation in layered composite laminates under periodic surface loads, Wave Motion 10 (1988), 257-266.
17. M. J. S. Lowe, Matrix techniques for modeling ultrasonic wave in multilayered media, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 42 (1995), 525-542.
18. M. J. Randall, Fast programs for layered half-space problems, Bull. Seism. Soc. Am. 57 (1967), 1299-1316.
19. L. Knopoff, A matrix method for elastic wave problems, Bull. Seism. Soc. Am. 54 (1964), 431-438.
20. G. Y. Oh, M. H. Lee, Band-structural and Fourier-spectral properties of one- dimensional generalized Fibonacci lattices, Phys. Rev. B 48 (1993), 12465-12477.
21. K. Mizoguichi, K. Matsutani, S. I. Nakashima, Observation of coherent acoustic phonons in Fibonacci superlattices, Phys. Rev. B 55 (1997), 9336-9339.
22. G. A. Maugin, Continuum Mechanics of Electromagnetic Solids. North-Holland, Amsterdam 1988.
23. C. Maerfeld, P. Tournois, Pure shear elastic surface wave guided by the interface of two semi-infinite media, Appl. Phys. Lett. 19 (1971), 117-118.
24. M. Castaings, B. Hosten, Delta operator technique to improve the Thomson- Haskell method stability for propagation in multilayered anisotropic absorbing plates, J. Acoust. Soc. Am. 95 (1994), 1931-1941.
25. B. Hosten, M. Castaings, Transfer matrix of multilayered absorbing and anisotropic media. Measurements and simulations of ultrasonic wave propagations through composite materials, J. Acoust. Soc. Am. 94 (1993), 1488-1495.
26. K. Balasubramaniam, On a numerical truncation approximation algorithm for transfer ma trix method, J. Acoust. Soc. Am. 107 (2000), 1050-1056.
27. S. I Rokhlin, L. Wang, Stable recursive algorithm for elastic wave propagation in layered anisotropic media: Stiffness matrix method, J. Acoust. Soc. Am. 112 (2002), 822-834.
28. E. Leong Tan, A Robust Formulation of SAW Green's functions for arbitrarily thick multilay ers at high frequencies, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 49 (2002), 929-936.
29. B. A. Auld, Y. A. Shui, Y. Wang, Elastic wave propagation in three-dimensional periodic composite materials, J. Physique 45 (1984), 159-163.
30. B. A. Auld, Y. Wang, Acoustic wave vibrations in periodic composite plates, Proc. IEEE Ultrason. Symp. (1984), 528-532.
31. F. Craciun, L. Sorba, E. Molinari, M. Pappalardo, A coupled-mode theory for periodic piezoelectric composites, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 36 (1989), 50-56.