Modal theory applied to the acoustic scattering by elastic cylinders of arbitrary cross section

Journal of the Acoustical Society of America

Volumn 116, Issue 2, 2004, Pages 686-692

  Léon, Fernand ^a   Chati, Farid ^a   Conoir, Jean Marc ^a  

^a UNIVERSITÉ DU HAVRE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (CONTAINERS); MODAL ANALYSIS; NUMERICAL ANALYSIS; SCATTERING;

ACOUSTIC SCATTERING; ELASTIC CYLINDERS; ELLIPTICAL CYLINDERS; PLANE WAVES;

ACOUSTIC WAVES;

ACOUSTICS; ARTICLE; ELASTICITY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; TECHNIQUE; THEORY;

EID: 4043112725     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1771592     Document Type: Article

References (28)

1. N. D. Veksler, Resonant Acoustic Spectroscopy (Springer-Verlag, Berlin, 1993).
2. P. A. Chinnery and V. F. Humphrey, "Fluid column resonances of water-filled cylindrical shells of elliptical cross section," J. Acoust. Soc. Am. 103, 1296-1305 (1997).
3. A. Pereira, A. Tadeu, and J. Antonio, "Influence of the cross section geometry of a cylindrical solid submerged in an acoustic medium on wave propagation," Wave Motion 36, 23-39 (2002).
4. R. Barakat, "Diffraction of plane waves by an elliptic cylinder," J. Acoust. Soc. Am. 35, 1990-1996 (1963).
5. J. E. Burke and V. Twersky, "On scattering of waves by an elliptic cylinder and by a semielliptic protuberance on a ground plane," J. Opt. Soc. Am. 54, 732-744 (1964).
6. J. E. Burke, "Low-frequency approximations for scattering by penetrable elliptic cylinders," J. Acoust. Soc. Am. 36, 2059-2070 (1964).
7. K. Sato, "Free flexural vibrations of an elliptical ring in its plane," J. Acoust. Soc. Am. 57, 113-115 (1975).
8. V. V. Varadan, "Scattering matrix for elastic waves. II. Application to elliptic cylinders," J. Acoust. Soc. Am. 63, 1014-1024 (1978).
9. Acoustic, Electromagnetic, and Elastic Waves Scattering-Focused on the T-Matrix Approach, edited by V. K. Varadan and V. V. Varadan (Pergamon, New York, 1980).
10. M. M. Simon and R. P. Raddlinski, "Elastic wave scattering from elliptical shells," J. Acoust. Soc. Am. 71, 273-281 (1982).
11. T. A. Pillai, V. V. Varadan, and V. K. Varadan, "Sound scattering by rigid and elastic infinite elliptical cylinders in water," J. Acoust. Soc. Am. 72, 1032-1037 (1982).
12. T. A. Pillai, V. K. Varadan, V. V. Varadan, and R. P. Raddlinski, "Acoustic wave scattering by elastic cylindrical shells in water," J. Acoust. Soc. Am. 74, 619-624 (1983).
13. S. Baskar, V. V. Varadan, and V. K. Varadan, "Thin shell theories and acoustic wave scattering by infinitely long cylindrical shells of arbitrary cross section," J. Acoust. Soc. Am. 75, 1673-1679 (1984).
14. R. P. Raddlinski and M. M. Simon, "Acoustic and elastic scattering from elliptic-cylindrical shells," J. Acoust. Soc. Am. 93, 2443-2453 (1993).
15. G. C. Goel and D. L. Jain, "Scattering of plane waves by a penetrable elliptic cylinder," J. Acoust. Soc. Am. 69, 371-379 (1981).
16. N. D. Veksler, B. Dubus, and A. Lavie, "Acoustic wave scattering by an ellipsoidal shell," Acoust. Phys. 45, 46-51 (1999).
17. P. T. DiPerna and T. K. Stanton, "Sound scattering by cylinders of non-circular cross section: A conformal mapping approach," J. Acoust. Soc. Am. 96, 3064-3079 (1994).
18. R. G. Newton, Scattering Theory of Waves and Particles (Springer, New York, 1982).
19. A. Bohm, Quantum Mechanics, Foundations and Applications (Springer, Berlin, 1993).
20. E. B. Danila, J. M. Conoir, P. Pareige, and J. L. Izbicki, "Multichannel resonant scattering theory applied to the acoustic scattering by eccentric cylindrical shell immersed in a fluid," Wave Motion 28, 297-318 (1998).
21. V. V. Varadan, "Elastic wave scattering," in Acoustic, Electromagnetic and Elastic Waves Scattering-Focused on the T-Matrix Approach, edited by V. K. Varadan and V. V. Varadan (Pergamon, New York, 1980).
22. P. Pareige, P. Rembert, J. L. Izbicki, G. Maze, and J. Ripoche, "Méthode impulsionnelle numérisée (MIN) pour l'isolement et l'identification des résonances de tubes immergés," (Digitized Impulse Method (DIM) applied to the isolation and the identification of immersed cylindrical shell resonances) Phys. Lett. A 135, 143-146 (1989).
23. J. Faran, "Sound scattering by solid cylinders and spheres," J. Acoust. Soc. Am. 23, 405-418 (1951).
24. P. M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953).
25. J. M. Conoir, P. Rembert, O. Lenoir, and J. L. Izbicki, "Relation between surface helical waves and elastic cylinder resonances," J. Acoust. Soc. Am. 93, 1300-1307 (1993).
26. G. V. Frisk, J. W. Dickey, and H. Überall, "Surface wave modes on elastic cylinders," J. Acoust. Soc. Am. 58, 996-1008 (1975).
27. G. V. Frisk and H. Uberall, "Creeping waves and lateral waves in acoustic scattering by large elastic cylinders," J. Acoust. Soc. Am. 59, 46-54 (1976).
28. J.-L. Rousselot, "Méthode numérique en diffusion acoustique" (Numerical method in acoustic scattering) in La diffusion acoustique par des cibles élastiques de forme géométrique simple, edited by N. Gespa (1987).