Theory of explosive beam spreading due to ray chaos

Journal of the Acoustical Society of America

Volumn 114, Issue 5, 2003, Pages 2775-2781

  Tappert, F D ^a  

^a UNIVERSITY OF MIAMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; LYAPUNOV METHODS;

EXPLOSIVE BEAMS;

ACOUSTICS;

ACOUSTICS; ARTICLE; MATHEMATICAL ANALYSIS; OCEANOGRAPHY; PRIORITY JOURNAL; SOUND;

ACOUSTICS; MODELS, THEORETICAL; NONLINEAR DYNAMICS; OCEANS AND SEAS;

EID: 0242440790     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1612496     Document Type: Article

References (19)

1. D. R. Palmer, M. G. Brown, F. D. Tappert, and H. F. Bezdek, "Classical chaos in nonseparable wave propagation problems," Geophys. Res. Lett. 15, 569-572 (1988).
2. M. G. Brown, F. D. Tappert, G. J. Goñi, and K. B. Smith, "Chaos in underwater acoustics," in Ocean Variability & Acoustic Propagation, edited by J. Potter and A. Warn-Varnas (Kluwer Academic, Dordrecht, 1991), pp. 139-160.
3. K. B. Smith, M. G. Brown, and F. D. Tappert, "Ray chaos in underwater acoustics," J. Acoust. Soc. Am. 91, 1939-1949 (1992).
4. F. D. Tappert and X. Tang, "Ray chaos and eigenrays," J. Acoust. Soc. Am. 99, 185-195 (1996).
5. M. A. Wolfson and F. D. Tappert, "Chaos in an acoustic propagation model," in The Chaos Paradigm: Developments and Applications in Engineering and Science, edited by R. A. Katz [AIP Conf. Proc. 296, 277-288 (1994)].
6. M. A. Wolfson and F. D. Tappert, "Chaos in an acoustic propagation model," in The Chaos Paradigm: Developments and Applications in Engineering and Science, edited by R. A. Katz [AIP Conf. Proc. 296, 277-288 (1994)].
7. M. A. Wolfson and F. D. Tappert, "Study of horizontal multipaths and ray chaos due to ocean mesoscale structure," J. Acoust. Soc. Am. 107, 154-162 (2000).
8. K. B. Smith, M. G. Brown, and F. D. Tappert, "Acoustic ray chaos induced by mesoscale ocean structure," J. Acoust. Soc. Am. 91, 1950-1959 (1992).
9. F. D. Tappert, D. Lee, and H. Weinberg, "The hybrid parabolic equation - ray model," in Recent Progress in the Development and Application of the Parabolic Equation, edited by P. D. Scully-Power and D. Lee, NUSC Technical Document No. 7145, 7 May 1984, pp. 6-1 to 6-14.
10. F. D. Tappert, D. Lee, and H. Weinberg, "High-frequency propagation modeling using HYPER," J. Acoust. Soc. Am. Suppl. 1 75, S30 (1984).
11. F. D. Tappert, "The parabolic approximation method," in Wave Propagation and Underwater Acoustics, Lecture Notes in Physics Vol. 70, edited by J. B. Keller and J. S. Papadakis (Springer, New York, 1977), Chap. V, pp. 224-287.
12. L. A. Chemov, Wave Propagation in a Random Medium (McGraw-Hill, New York, 1960).
13. I. C. Percival, "Chaos in Hamiltonian systems," in Dynamical Chaos, edited by M. V. Berry, I. C. Percival, and N. O. Weiss (Princeton University Press, Princeton, NJ, 1987), pp. 131-143.
14. B. V. Chirikov, "Patterns in chaos," Chaos, Solitons Fractals 1, 79-103 (1991).
15. M. A. Wolfson and S. Tomsovic, "On the stability of long-range sound propagation through a structured ocean," J. Acoust. Soc. Am. 109, 2693-2703 (2001).
16. F. D. Tappert and H. Weinberg, "HYPER: A hybrid parabolic equation - ray model for underwater sound propagation in the vicinity of smooth caustics," J. Acoust. Soc. Am. Suppl. 81, S11 (1987).
17. F. B. Jensen, W. A. Kuperman, M. B. Porter, and H. Schmidt, Computational Ocean Acoustics (AIP Press, New York, 1994).
18. M. B. Porter and H. P. Bucker, "Gaussian beam tracing for computing ocean acoustic fields," J. Acoust. Soc. Am. 82, 1349-1359 (1987).
19. E. J. Heller and S. Tomsovic, "Postmodern quantum mechanics," Phys. Today 46(7), 38-45 (1993).