Direct and inverse problems in ocean acoustics

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 3, 1997, Pages 1535-1546

  Gilbert, R P ^a   Lin, Zhongyan ^a   Buchanan, J L ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b UNITED STATES NAVAL ACADEMY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042632467     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00132-6     Document Type: Article

References (21)

1. AHLUWALIA,D. & KELLER, J., Exact and asymptotic representations of the sound field in a stratified ocean, Wave Propagation and Underwater Acoustics, Lecture Notes in Physics 70, Springer, Berlin (1977).
2. BIOT, M. A., Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Lower frequency range, and II. Higher frequency range, J. Acoust Soc. Am., 28(2), 168-178, 179-191 (1956).
3. BIOT, M.A., Mechanics of deformation and acoustic propagation in porous media, Jour. Applied Physics, 33, 1482-1498 (1962).
4. BUCHANAN, J. & GILBERT, R., Transmission loss in the far field for a BIOT sediment model, (submitted) Jour. Computational Acoustics, (1994).
5. COLLINS, M.D., Higher-order and elastic parabolic equations for wave propagation in the ocean, Computational Acoustics, Vol. 3, (Edited by D. LEE, A. CAKMAK, and R. VICHNEVETSKY), Elsevier Science Publishers (1990).
6. COLLINS, M.D., Higher-order Padé approximations for accurate and stable elastic parabolic equations with application to interface wave propagation, J. Acoust. Soc. Am., 89, 1050-1057 (1991).
7. COLTON, D. & KRESS, R., Inverse Acoustic and Electromagnetic Scattering Theory, Springer-Verlag (1993).
8. GILBERT, R.P. & XU, Y., An inverse problem for harmonic acoustics in stratified oceans, J. Math. Anal. Appl., 17(1), 121-137 (1993).
9. GILBERT, R.P. & XU, Y., Starting fields and far fields in ocean acoustics, Wave Motion, 11, 507-524 (1989).
10. GILBERT, R.P. & XU, Y., Dense sets and the projection theorem for acoustic harmonic waves in homogeneous finite depth oceans, Math. Methods Appl. Scis., 12, 69-76 (1989).
11. GILBERT, R.P. & XU, Y., The propagation problem and far-field patterns in a stratified finite-depth ocean, Math. Methods in the Appl. Sciences, 12, 199-208 (1990).
12. GILBERT, R.P. & XU, Y., Generalized Herglotz functions and inverse scattering problems in finite depth oceans, Inverse Problems, SIAM (1992).
13. GILBERT, R.P. & WOOD, D.H., A transmutation approach to underwater sound propagation, Wave Motion, 8, 5, 383-397 (1986).
14. GILBERT, R.P. & ZHONGYAN LIN, On the conditions for uniqueness and existence of the solution to an acoustic inverse problem: I Theory, J. computational Acoustics, Vol.1, No.2, 229-247 (1993).
15. GILBERT, R.P. & ZHONGYAN LIN, An acoustic inverse problem: Numerical experiments, J. Computational Acoustics, (to appear 1995).
16. GILBERT, R.P. & ZHONGYAN LIN, Acoustic waves in shallow inhomogeneous ocean with a layer of sediment, Acustica.
17. GILBERT, R.P. & YONGSHAN XU, The sea-mount problem.
18. GILBERT, R.P. & ZHONGYAN LIN, Scattering in a Shallow Ocean with an Elastic Seabed, (this conference).
19. GILBERT, R.P. & YONGSHAN XU, The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed, (this conference) (1996).
20. GILBERT, R.P., ZHONGYAN LIN, & BUCHANAN, J. L., Acoustic waves in shallow inhomogeneous ocean with an interactive seabed, Proceedings of the Conference on Porous Media, St-Etienne, France.
21. GILBERT, R.P. & ZHONGYAN LIN, Near field acoustic approximations in a shallow ocean, preprint.