Reflection of a plane sound wave from a semi-infinite periodic transversely isotropic set of layers

Journal of the Acoustical Society of America

Volumn 101, Issue 3, 1997, Pages 1239-1249

  Shenderov, Evgeni L ^a  

^a Reseach Devmt Inst Morfizpribor   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; LIQUID; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SOLID; SOUND TRANSMISSION; THEORY;

EID: 0031042029     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.418155     Document Type: Article

References (24)

1. D. L. Folds and C. D. Loggins, "Transmission and reflection of ultrasonic waves in layered media," J. Acoust. Soc. Am. 62, 1102-1109 (1977).
2. P. R. Stepanishen and B. Strozeski, "Reflection and transmission of acoustic wideband plane waves by layered viscoelastic media," J. Acoust. Soc. Am. 71, 9-21 (1982).
3. L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960).
4. E. L. Shenderov, Wave Problems in Hydroacoustics (Sudostroenie, Leningrad, 1972. [English translation: Joint Publications Research service, Report JPRS-58146 (433p.), Feb. 1973. National Technical Information Service, Springfield, VA 22151.]
5. P. Cervenka and P. Challande, "A new efficient algorithm to compute the exact reflection and transmission factors for plane waves in layered absorbing media (liquids and solids)," J. Acoust. Soc. Am. 89, 1579-1589 (1991).
6. J. W. Dunkin, "Computation of modal solutions in layered, elastic media at high frequencies," Bull. Seismol. Soc. Am. 55, 335-358 (1965).
7. M. Castaings and B. Hosten, "Delta operator technique to improve the Thomson-Haskell method stability for propagation in multilayered anisotropic absorbing plates," J. Acoust. Soc. Am. 95, 1931-1941 (1994).
8. K. P. Scharnhorst, "Properties of acoustic and electromagnetic coefficients and transfer matrices of multilayered plates," J. Acoust. Soc. Am. 74, 1883-1887 (1983).
9. 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, 109-128 (1995).
10. A. H. Nayfeh, "The general problem of elastic wave propagation in multilayered anisotropic media," J. Acoust. Soc. Am. 89, 1521-1531 (1991).
11. F. I. Solyanik, "Transmission of plane waves through layered media consisting from anisotropic plates," Akust. Zh. 23. 933-938 (1977). [English Transi.: Sov. Phys. Acoust. 23, (1977).]
12. E. L. Shenderov, "Transmission of sound through transversely-isotropic plate," Akust. Zh. 30, 122-129 (1984). [English Transi.: Sov. Phys. Acoust. 30, (1984).]
13. A. M. B. Braga and G. Herrmann, "Floquet waves in anisotropic periodically layered composites," J. Acoust. Soc. Am. 91, 1211-1227 (1991).
14. K. E. Gilbert, "A propagator matrix method for periodically stratified media," J. Acoust. Soc. Am. 73, 137-142 (1982).
15. M. Schoenberg, "Wave propagation in alternating fluid/solid layers," Wave Motion 6, 303-320 (1984).
16. W. M. Karunasena, R. L. Bratton, S. K. Datta, and A. H. Shah, "Elastic wave propagation in laminated composite plates," ASME J. Eng. Mater. Tech. 113, 43, 413-424 (1991).
17. W. L. Mochan and M. del Castillo-Mussot, "Effect of plasma waves on the optical properties of metal-insulator superlattices," Phys. Rev. B 35, 1088-1098 (1987).
18. R. Esquivel-Sirvent and G. H. Cocoletzi, "Band structure for the propagation of elastic waves in superlattice," J. Acoust. Soc. Am. 95, 86-90 (1995).
19. P. J. Shull, D. E. Chimenti, and S. K. Datta, "Elastic guided waves and the Floquet concept in periodically layered plates," J. Acoust. Soc. Am. 95, 99-108 (1994).
20. T. J. Delph and G. Herrmann, "Harmonic wave propagation in a periodically layered, infinite elastic body: Plane strain, analytical results," J. Appl. Mech. 46, 113-119 (1978).
21. T. J. Delph, G. Herrmann, and R. K. Kaul, "Harmonic wave propagation in periodically layered, infinite elastic body: Antiplane strain," J. Appl. Mech. 5, 343-349 (1978).
22. S. G. Lekhnitski, Theory of Elasticity of an Anisotropic Body (Nauka, Moskva, 1977, in Russian).
23. W. T. Thompson, "Transmission of elastic waves through a stratified medium," Appl. Phys. 21, 89-93 (1950).
24. N. A. Haskell, "The dispersion of surface waves in multilayered media," Bull. Seismol. Soc. Am. 43, 17-34 (1953).