Parabolic equation simulations of reverberation statistics from non-Gaussian-distributed bottom roughness

IEEE Journal of Oceanic Engineering

Volumn 35, Issue 2, 2010, Pages 199-208

  Lingevitch, Joseph F ^a   LePage, Kevin D ^b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b NATO UNDERSEA RESEARCH CENTRE   (Italy)

Author keywords

Clutter; Parabolic equation (PE); Reverberation

Indexed keywords

ANALYTICAL MODEL; BOTTOM ROUGHNESS; CLUTTER; COUPLED MODE; DISCRETE SCATTERERS; ENVELOPE STATISTICS; GAUSSIANS; HEAVY-TAILED; HEIGHT DISTRIBUTION; K-DISTRIBUTED; MULTI-PATH; NON-GAUSSIAN; NUMERICAL PREDICTIONS; PARABOLIC EQUATION; PARABOLIC EQUATIONS; RAYLEIGH DISTRIBUTIONS; ROUGH INTERFACES; ROUGH SURFACES; ROUGHNESS HEIGHT; SECOND MOMENTS; SIMULATION RESULT;

COMPUTER SIMULATION; EXPONENTIAL FUNCTIONS; MATHEMATICAL MODELS; OCEANOGRAPHY; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS;

REVERBERATION;

EID: 77952958656     PISSN: 03649059     EISSN: None     Source Type: Journal    
DOI: 10.1109/JOE.2010.2044054     Document Type: Article

References (32)

1. E. I. Thorsos and J. S. Perkins, "Overview of the reverberation modeling workshops," in Proc. Int. Symp. Underwater Reverberat. Clutter, 2008, pp. 3-14.
2. M. D. Collins and R. B. Evans, "A two-way parabolic equation for acoustic backscattering in the ocean," J. Acoust. Soc. Amer., vol.91, pp. 1358-1368, 1992.
3. M. D. Collins and E. K.Westwood, "A higher-order energy-conserving parabolic equation for range-dependent ocean depth, sound speed and density," J. Acoust. Soc. Amer., vol.89, pp. 1068-1075, 1991.
4. J. Corones, "Bremmer series that correct parabolic approximations," J. Math. Anal., vol.50, pp. 161-168, 1975.
5. S. T. McDaniel, "Backscattering from rough interfaces and the parabolic approximation," J. Acoust. Soc. Amer., vol.91, pp. 99-106, 1992.
6. F. D. Tappert and F. Ryan, "Full-wave bottom reverberation modeling," J. Acoust. Soc. Amer. Suppl., vol. 86, no. S65, 1989.
7. K. B. Smith, W. S. Hodgkiss, and F. D. Tappert, "Propagation and analysis issues in the prediction of long-range reverberation," J. Acoust. Soc. Amer., vol.99, pp. 1387-1404, 1996.
8. F. A. Milinazzo, C. A. Zala, and G. H. Brooke, "Rational square-root approximations for parabolic equation algorithms," J. Acoust. Soc. Amer., vol.101, pp. 760-766, 1997.
9. J. F. Lingevitch, M. D. Collins, M. J. Mills, and R. B. Evans, "A two-way parabolic equation that accounts for multiple scattering," J. Acoust. Soc. Amer., vol.112, pp. 476-480, 2002.
10. K. D. LePage, "Statistics of broad-band bottom reverberation predictions in shallow-water waveguides," IEEE J. Ocean. Eng., vol.29, no.2, pp. 330-346, Apr. 2004.
11. E. Jakeman and P. N. Pusey, "A model for non-Rayleigh sea echo," IEEE. Trans. Antennas Propag., vol.AP-24, no.6, pp. 806-814, Nov. 1976.
12. E. Jakeman and P. N. Pusey, "Significance of distributions in scattering experiments," Phys. Rev. Let., vol.40, pp. 546-550, 1978.
13. D. A. Abraham and A. P. Lyons, "Novel physical interpretations of Κ-distributed reverberation," IEEE J. Ocean. Eng., vol.27, no.4, pp. 800-813, Oct. 2002.
14. K. D. LePage, "Monostatic reverberation in range-dependent waveguides: The R-SNAP model," SACLANT Undersea Research Centre, La Spezia, Italy, SACLANT SR-363, 2003.
15. A. P. Rosenberg, "A new rough surface parabolic equation program for computing low-frequency acoustic forward scattering from the ocean surface," J. Acoust. Soc. Amer., vol.105, pp. 144-153, 1999.
16. M. D. Collins, "The stabilized self-starter," J. Acoust. Soc. Amer., vol.106, pp. 1724-1726, 1999.
17. D. S. Burnett, Finite Element Analysis: From Concepts to Applications. Reading, MA: Addison-Wesley, 1987, ch. 6.
18. E. I. Thorsos and D. Jackson, "Scattering models for reverberation problems," [Online]. Available: ftp://ftp.ccs.nrl.navy.mil/ pub/ram/RevModWksp-II/Workshop-I-Problem-Definitions/Scattering- models5.pdf
19. E. I. Thorsos, "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Amer., vol.83, pp. 78-92, 1988.
20. I. Dyer, "Statistics of sound propagation in the ocean," J. Acoust. Soc. Amer., vol.48, pp. 337-345, 1970.
21. K. D. LePage, "Higher moment estimation for shallow water reverberation prediction," in Proc. Int. Symp. Underwater Reverberat. Clutter, 2008, pp. 165-172.
22. E. Jakeman, "Κ-distributed noise," J. Opt. A, Pure Appl. Opt., vol.1, pp. 784-789, 1999.
23. J. W. Goodman, "Some fundamental properties of speckle," J. Opt. Soc. Amer., vol.66, pp. 1145-1150, 1976.
24. F. B. Jensen, W. A. Kuperman, M. B. Porter, and H. Schmidt, Computational Ocean Acoustics. New York: AIP, 1994, ch. 8.
25. K. D. LePage, "Bottom reverberation in shallow water: Coherent properties as a function of bandwidth,waveguide characteristics, and scatter distributions," J. Acoust. Soc. Amer., vol.106, pp. 3240-3254, 1999.
26. M. Porter, The KRAKEN Normal Mode Program, SM-245. LaSpezia, Italy: SACLANT Undersea Res. Centre, 1991, ch. 3.
27. B. Cole, J. Davis, W. Leen, W. Powers, and J. Hanrahan, "Coherent bottom reverberation: Modeling and comparisons with at-sea measurements," J. Acoust. Soc. Amer., vol.116, pp. 1985-1994, 2004.
28. K. J. Sangston and K. R. Gerlach, "Coherent detection of radar targets in non-Gaussian background," IEEE Trans. Aerosp. Electron. Syst., vol.30, no.2, pp. 330-340, Apr. 1994.
29. T. C. Gallaudet and C. P. de Moustier, "High-frequency volume and boundary acoustic backscatter fluctuations in shallowwater," J. Acoust. Soc. Amer., vol.114, pp. 707-725, 2003.
30. S. W. Kay, Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993, ch. 7.
31. D. A. Abraham and A. P. Lyons, "BootstrappedΚ-distribution parameter estimation," in Proc. IEEE OCEANS Conf., 2006, DOI: 10.1109/ OCEANS.2006.306983 .
32. A. Papoulis, Probability, Random Variables, and Stochastic Properties. New York: McGraw-Hill, 2002, ch. 5.