Coupled Rayleigh surface waves in a slowly varying elastic waveguide

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1983, 1999, Pages 917-931

  Folguera, Alejandra ^a   Harris, John G ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Coupled surface waves; Elastic waveguide; Rayleigh surface wave; Rayleigh lamb modes; Rays and modes; Variable waveguide

Indexed keywords

EID: 0001033103     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0341     Document Type: Article

References (15)

1. Aki, K. & Richards, P. G. 1980 Quantitative seismology, theory and methods, vol. 2, pp. 751-766. San Francisco, CA: Freeman.
2. Arnold, J. M. & Felsen, L. B. 1984 Intrinsic modes in a nonseperable ocean waveguide. J. Acoust. Soc. Am. 76, 850-860.
3. Arnold, J. M. & Felsen, L. B. 1986 Local intrinsic modes: layer with nonplanar interface. Wave Motion 8, 1-14.
4. Asfar, O. R. & Nayfeh, A. H. 1983 The application of the method of multiple scales to wave propagation in periodic structures. SIAM Rev. 25, 455-480.
5. Auld, B. A. 1990 Acoustic fields and waves in solids, vol. 2, pp. 76-94, 151-162. Malabar, FL: Krieger.
6. Brekhovskikh, L. & Goncharov, V. 1985 Mechanics of continua and wave dynamics, pp. 79-81. New York: Springer.
7. Bretherton, F. P. 1968 Propagation in slowly varying waveguides. Proc. R. Soc. Land. A 302, 555-576.
8. Burridge, R. & Weinberg, H. 1977 Horizontal rays and vertical modes. In Wave propagation and underwater acoustics (ed. J. B. Keller & J. S. Papadakis), pp. 86-152. New York: Springer.
9. Desaubies, Y. & Dysthe, K. 1995 Normal-mode propagation in slowly varying ocean waveguides. J. Acoust. Soc. Am. 97, 933-946.
10. Gregory, R. D. & Gladwell, I. 1983 The reflection of a symmetric Rayleigh-Lamb wave at the fixed or free edge of a plate. J. Elasticity 13, 185-206.
11. Kirrmann, P. 1995 On the completeness of Lamb modes. J. Elasticity 37, 39-69.
12. Miklowitz, J. 1978 The theory of elastic waves and waveguides, pp. 178-209, 409-466. New York: North-Holland.
13. Rulf, B., Robinson, B. Z. & Rosenau, P. 1972 Asymptotic expansions of guided elastic waves. J. Appl. Mech. 39, 378-384.
14. Ti, B. W., O'Brien, W. D. & Harris, J. G. 1997 Measurements of coupled Rayleigh wave propagation in an elastic plate. J. Acoust. Soc. Am. 102, 1528-1531.
15. Viktorov, I. A. 1967 Rayleigh and Lamb waves, pp. 93-96. New York: Plenum.