The unidentified object problem in a shallow ocean

Journal of the Acoustical Society of America

Volumn 103, Issue 3, 1998, Pages 1320-1327

  Gilbert, R P ^a   Scotti, T ^b   Wirgin, A ^b   Xu, Y S ^c  

^a UNIVERSITY OF DELAWARE   (United States)

^b CNRS   (France)

^c UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC TECHNIQUES; REMOTE SENSING; SHALLOW WATER;

ARTICLE; LIQUID; PHASE TRANSITION; PRIORITY JOURNAL; SEA; SOUND TRANSMISSION;

EID: 0031896084     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.421272     Document Type: Article

References (61)

1. H. P. Bucker, "Use of calculated sound fields and matched-field detection to locate sound sources in shallow water," J. Acoust. Soc. Am. 59, 368-373 (1976).
2. M. J. Hinich, "Maximum likelihood estimation of the position of a radiating source in a waveguide," J. Acoust. Soc. Am. 66, 480-483 (1979).
3. J. M. Ozard, "Matched field processing in shallow water for range, depth and bearing determination: Results of experiment and simulation," J. Acoust. Soc. Am. 86, 744-753 (1989).
4. C. Rozier and D. Lesselier, "Inversion of a cylindrical vibrating body in shallow water from aspect-limited data using filtered SVD and the L-curve," Acust. Acta Acust. 82, 717-728 (1996).
5. F. B. Jensen, W. A. Kuperman, M. B. Porter, and H. Schmidt, Computational Ocean Acoustics (AIP, New York, 1994).
6. Y. Xu and Y. Yan, "Boundary integral equation method for source localization with a continuous wave sonar," J. Acoust. Soc. Am. 92, 995-1002 (1992).
7. Y. Xu and Y. Yan, "A boundary integral equation method for acoustic source localization in a waveguide with inclusions," J. Comput. Acoust. 2, 133-145 (1994).
8. T. C. Yang, "A method of range and depth estimation by modal decomposition," J. Acoust. Soc. Am. 82, 1736-1745 (1987).
9. T. S. Angell, R. E. Kleinman, C. Rozier, and D. Lesselier, "Uniqueness and complete families for an acoustic waveguide problem," Wave Motion (submitted).
10. P. Carrion, "Reflection tomography in underwater acoustics," J. Acoust. Soc. Am. 97, 1318-1321 (1995).
11. P. Carrion and G. Boehm, "Tomographic imaging of opaque and low-contrast objects in range-independent waveguides," J. Acoust. Soc. Am. 91, 1440-1446 (1992).
12. R. P. Gilbert and Z. Lin, "Near field acoustic approximations in a shallow ocean," preprint (1996).
13. R. P. Gilbert, Z. Lin, and J. L. Buchanan, "Direct and inverse problems in ocean acoustics," Nonlinear Anal. 30, 1535-1546 (1997).
14. R. P. Gilbert and Y. Xu, "Starting fields and far fields in ocean acoustics," Wave Motion 11, 507-524 (1989).
15. R. P. Gilbert and Y. Xu, "Dense sets and the projection theorem for acoustic harmonic waves in a homogeneous finite-depth ocean," Math. Meth. Appl. Sci. 12, 69-76 (1990).
16. R. P. Gilbert and Y. Xu, "The propagation problem and far-field patterns in a stratified finite-depth ocean," Math. Meth. Appl. Sci. 12, 199-208 (1990).
17. R. P. Gilbert and Y. Xu, "Generalized Herglotz functions and inverse scattering problems in finite depth oceans, in Inverse Problems," SIAM Proceedings Applied Mathematics 63, edited by J. Corones et al. (SIAM, Philadelphia, 1992).
18. R. P. Gilbert and Y. Xu, "The seamount problem," in SIAM special issue on the occasion of Prof. I. Stakgold's 70th birthday, Nonlinear Problems in Applied Mathematics, edited by T. Angell et al. (SIAM, Philadelphia, 1996), pp. 140-149.
19. D. Lesselier and B. Duchene, "Wavefield inversion of objects in stratified environments. From backpropagation schemes to full solutions," in Review of Radio Science 1993-1995, edited by R. Stone (Oxford U.P., Oxford, 1996), pp. 235-268.
20. N. C. Makris, F. Ingenito, and W. A. Kuperman, "Detection of a submerged object insonified by surface noise in an ocean waveguide," J. Acoust. Soc. Am. 96, 1703-1724 (1994).
21. Y. Xu, "Direct and inverse scattering of acoustic waves in shallow oceans," Doctoral thesis, University of Delaware, 1990.
22. Y. Xu, "An injective far-field pattern operator and inverse scattering problem in a finite depth ocean," Proc. Edinb. Math. Soc. 34, 295-311 (1991).
23. Y. Xu, T. C. Poling, and T. Brundage, "Direct and inverse scattering of harmonic acoustic waves in an inhomogeneous shallow ocean," in Computational Acoustics, edited by D. Lee et al., IMACS 91, Vol. 2 (North-Holland, Amsterdam, 1993), pp. 21-43.
24. T. C. Yang, "Scattering from boundary protuberances and reverberation imaging," J. Acoust. Soc. Am. 93, 231-242 (1993).
25. T. C. Yang and T. W. Yates, "Scattering from an object in a stratified medium. II. Extraction of scattering signature," J. Acoust. Soc. Am. 96, 1020-1031 (1994).
26. R. P. Gilbert, Y. Xu, and P. Thejll, "An approximation scheme for the three-dimensional scattered wave and its propagating far-field pattern in a finite depth ocean," Z. Angew. Math. Mech. 72, 459-480 (1992).
27. C. Rozier, D. Lesselier, and T. Angell, "Optimal shape reconstruction of a perfect target in shallow water," in Proceedings of the 3rd European Conference on Underwater Acoustics, Heraklion (1996).
28. D. Rozier, D. Lesselier, T. Angell, and R. Kleinman, "Reconstruction of an impenetrable obstacle immersed in a shallow water acoustic waveguide," in Proc. Conf. Problemes Inverses Propagation et Diffraction D'Ondes, Aix-les-Bains (1996).
29. C. Rozier, D. Lesselier, T. Angell, and R. Kleinman, "Shape retrieval of an obstacle immersed in shallow water from single-frequency farfields using a complete family method," Inverse Probl. (submitted).
30. S. Russenschuck, "Synthesis, inverse problems and optimization in computational electromagnetics," Int. J. Numer. Model. - Electron. Networks Devices Fields 9, 45-57 (1996).
31. J. Schwinger and D. S. Saxon, Discontinuities in Waveguides (Gordon and Breach, New York, 1968).
32. J. L. Buchanan and R. P. Gilbert, "Transmission loss in the far field over a seabed with rigid substrate assuming the Biot sediment model," J. Comput. Acoust. 4, 29-54 (1996).
33. J. L. Buchanan and R. P. Gilbert, "Transmission loss in the far field over a one-layer seabed assuming the Biot sediment model," Z. Angew. Math. Mech. 77, 121-135 (1997).
34. J. L. Buchanan, R. P. Gilbert, and Y. Xu, "Green's function for acoustic pressure over a poroelastic seabed," preprint (1996).
35. T. W. Dawson, "Acoustic scattering in a three-dimensional oceanic waveguide using boundary integral methods," J. Acoust. Soc. Am. 90, 2609-2622 (1991).
36. T. W. Dawson and J. A. Fawcett, "A boundary integral equation method for acoustic scattering in a waveguide with nonplanar surfaces," J. Acoust. Soc. Am. 87, 1110-1125 (1990).
37. R. P. Gilbert, K. Khashanah, and Y. Xu, "An unidentified inclusion problem for a shallow ocean, I: Construction of the Green's function," Comput. Acoust. 2, 1-19 (1993).
38. R. P. Gilbert and Z. Lin, "Acoustic field in a shallow stratified ocean with a poroelastic seabed," Z. Angew. Math. Mech. 77, 677-688 (1997).
39. R. P. Gilbert and Y. Xu, "Scattering of acoustic waves by an ellipse in a shallow ocean," in Advances in Computer Methods for Partial Differential Equations VII, edited by R. Vichnevetsky et al. (IMACS, 1992), pp. 287-293.
40. R. P. Gilbert and Y. Xu, "The coefficient problem for a shallow ocean with an unknown inhomogeneity and an elastic seabed," preprint (1996).
41. G. A. Grinblat, A. A. Kleshchev, and K. V. Smirnov, "Acoustic fields of spheroidal scatterers and radiators in a plane waveguide," Acoust. Phys. 39, 36-38 (1993).
42. R. H. Hackman and G. S. Sammelmann, "Acoustic scattering in an inhomogeneous waveguide: Theory," J. Acoust. Soc. Am. 80, 1447-1458 (1986).
43. R. H. Hackman and G. S. Sammelmann, "Multiple-scattering analysis for a target in an oceanic waveguide," J. Acoust. Soc. Am. 84, 1813-1825 (1988).
44. F. Ingenito, "Scattering from an object in a stratified medium," J. Acoust. Soc. Am. 82, 2051-2059 (1987).
45. Z. Lin, "Some direct and inverse problems for inhomogeneous media," Doctoral thesis, University of Delaware, 1997.
46. I.-T. Lu, "Analysis of acoustic wave scattering by scatterers in layered media using the hybrid ray-mode (boundary integral equation) method," J. Acoust. Soc. Am. 86, 1136-1142 (1989).
47. G. S. Sammelmann and R. H. Hackman, "Acoustic scattering in a homogeneous waveguide," J. Acoust. Soc. Am. 82, 324-336 (1987).
48. A. Sarkassian, "Method of superposition applied to scattering from a target in shallow water," J. Acoust. Soc. Am. 95, 2340-2345 (1994).
49. A. Sarkassian, "Multiple scattering effects when scattering from a target in a bounded medium," J. Acoust. Soc. Am. 96, 3137-3144 (1994).
50. M. I. Taroudakis, "A coupled-mode formulation for the solution of the Helmholtz equation in water in the presence of a conical sea-mount," J. Comput. Acoust. 4, 101-121 (1996).
51. M. Tran-Van-Nhieu, "Scattering from slender bodies in a homogeneous waveguide," J. Acoust. Soc. Am. 88, 2880-2888 (1990).
52. T. W. Wu, "On computational aspects of the boundary element method for acoustic radiation and scattering in a perfect waveguide," J. Acoust. Soc. Am. 96, 3733-3743 (1994).
53. Y. Xu and Y. Yan, "An approximate boundary integral method for acoustic scattering in shallow oceans," J. Comput. Acoust. 1, 61-75 (1993).
54. R. P. Gilbert and Z. Lin, "Acoustic waves in shallow inhomogeneous ocean with a layer of sediment," Acustica 82, 729-737 (1996).
55. T. Scotti and A. Wirgin, "Location and shape reconstruction of a soft body by means of canonical solutions and measured scattered sound fields," C. R. Acad. Sci. Paris II b 330, 641-646 (1995).
56. T. Scotti and A. Wirgin, "Shape reconstruction using diffracted waves and canonical solutions," Inverse Probl. 11, 1097-1111 (1995).
57. T. Scotti and A. Wirgin, "Location and shape reconstruction of an impenetrable 3D body by matching measurements of scattered sound to a canonical body field representation," Proceedings of the 2nd International Conference Inverse Problems Engineering Theory and Practice, Le Croisic (1996).
58. T. Scotti and A. Wirgin, "Shape construction of a penetrable homogeneous 3D scattering body via the ICBA," Proc. Conf. Problemes Inverses Propagation et Diffraction D'Ondes, Aix-les-Bains (1996).
59. A. Wirgin and T. Scotti, "Wide-band approximation of the sound field scattered by an impenetrable body of arbitrary shape," J. Sound Vib. 194, 537-572 (1996).
60. T. K. Stanton, "Sound scattering by cylinders of finite length. III. Deformed cylinders," J. Acoust. Soc. Am. 86, 691-705 (1989).
61. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).