An investigation of the small slope approximation for scattering from rough surfaces. Part II. Numerical studies

Journal of the Acoustical Society of America

Volumn 101, Issue 5 I, 1997, Pages 2615-2625

  Broschat, Shira Lynn ^a   Thorsos, Eric I ^b  

^a Washington State University   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; PRIORITY JOURNAL; SOUND TRANSMISSION; SURFACE PROPERTY; WAVEFORM;

EID: 0030966243     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.418502     Document Type: Article

References (14)

1. ix), respectively, since other distributions were not ruled out; these properties are needed to obtain (3). An extension of the arguments given in Berman's Appendix A can be used to show these moments of T must be proportional to delta functions, but the analysis is not presented here.
2. Broschat, S. L. (1993). "The small slope approximation reflection coefficient for scattering from a 'Pierson-Moskowitz' sea surface," IEEE Trans. Geosci. Remote Sens. 31, 1112-1114
3. Broschat, S. L., and Thorsos, E. I. (1995). "Numerical studies of the small slope approximation for rough surface scattering using a Pierson-Moskowitz spectrum," J. Acoust. Soc. Am. 97, 3404.
4. Ishimaru, A. (1978). Wave Propagation and Scattering in Random Media (Academic, New York), Vol. II, Chap. 21.
5. Parzen, E. (1962). Stochastic Processes (Holden-Day, San Francisco), pp. 88-97.
6. Thorsos, E. I. (1988). "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am. 83, 78-92.
7. Thorsos, E. I. (1990). "Acoustic scattering from a 'Pierson-Moskowitz' sea surface," J. Acoust. Soc. Am. 88, 335-349.
8. Thorsos, E. I., and Broschat, S. L. (1995). "An investigation of the small slope approximation for scattering from rough surfaces. Part I. Theory," J. Acoust. Soc. Am. 97, 2082-2093.
9. Thorsos, E. I., and Jackson, D. R. (1989). "The validity of the perturbation approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am. 86, 261-277.
10. Voronovich, A. G. (1985). "Small-slope approximation in wave scattering by rough surfaces," Sov. Phys. JETP 62, 65-70.
11. Voronovich, A. G. (1986). "A unified description of wave scattering at boundaries with large and small scale roughness," Progress in Underwater Acoustics, edited by Harold M. Merklinger (Plenum, New York).
12. Wagner, R. J. (1967). "Shadowing of randomly rough surfaces," J. Acoust. Soc. Am. 41, 138-147.
13. Yang, T. Q., and Broschat, S. L. (1992). "A comparison of scattering model results for two-dimensional randomly rough surfaces," IEEE Trans. Antennas Propag. 40, 1505-1512.
14. Yang, T. Q., and Broschat, S. L. (1994). "Acoustic scattering from a fluid-elastic solid interface using the small slope approximation," J. Acoust. Soc. Am. 96, 1796-1804.