The validity of the perturbation approximation for rough surface scattering using a Gaussian roughness spectrum

Journal of the Acoustical Society of America

Volumn 86, Issue 1, 1989, Pages 261-277

  Thorsos, Ericl ^a   Jackson, Darrell ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84955023146     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.398342     Document Type: Article

References (27)

1. E. Y. Harper and F. M. Labianca, “Perturbation theory for scattering of sound from a point source by a moving rough surface in the presence of refraction,” J. Acoust. Soc. Am. 57, 1044—1051 (1975).
2. E. Y. Harper and F. M. Labianca, “Scattering of sound from a point source by a rough surface progressing over an isovelocity ocean,” J. Acoust. Soc. Am. 58, 349–364 (1975); E. Y. Harper and F. M. Labianca, “Erratum: Scattering of sound from a point source by a rough surface progressing over an isovelocity ocean [J. Acoust. Soc. Am. 58, 349–364 (1975) ],” J. Acoust. Soc. Am. 59, 484 (1976).
3. W. A. Kuperman, “Coherent component of specular reflection and transmission at a randomly rough two-fluid interface,” J. Acoust. Soc. Am. 58, 365–370 (1975).
4. S. T. McDaniel, “Coupled power equations for cylindrically spreading waves,” J. Acoust. Soc. Am. 60, 1285–1289 (1976).
5. F. G. Bass and I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, Oxford, England, 1979), Chap. 3.
6. S. O. Rice, “Reflections of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951).
7. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. II, Chap. 21.
8. E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78–92 (1988).
9. J. Nakayama, H. Ogura, and M. Sakata, “A probabilistic theory of electromagnetic wave scattering from a slightly random surface 1. Horizontal polarization,” Radio Sci. 16, 831–845 (1981).
10. J. Nakayama, M. Sakata, and H. Ogura, “A probabilistic theory of electromagnetic wave scattering from a slightly random surface 2. Vertical polarization,” Radio Sci. 16, 847–853 (1981).
11. N. Garcia and E. Stoll, “Near-field effects and scattered intensities of electromagnetic waves from random rough surfaces,” J. Opt. Soc. Am. 2, 2240–2243 (1985).
12. I2M. F. Chen and A. K. Fung, “A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models,” Radio Sci. 23, 163–170 (1988).
13. I3F. M. Labianca and E. Y. Harper, “Connection between various small-waveheight solutions of the problem of scattering from the ocean surface,” J. Acoust. Soc. Am. 62, 1144–1157 (1977).
14. G. S. Agarwal, “Interaction of electromagnetic waves at rough dielectric surfaces,” Phys. Rev. 15, 2371–2383 (1977).
15. C. Lopez, F. J. Yndurain, and N. Garcia, “Iterative series for calculating the scattering of waves from a hard corrugated surface,” Phys. Rev. 18, 970–972 (1978).
16. G. S. Brown, “A comparison of approximate theories for scattering from rough surfaces,” Wave Motion 7, 195–205 (1985).
17. D. R. Jackson, D. P. Winebrenner, and A. Ishimaru, “Comparison of perturbation theories for rough-surface scattering,” J. Acoust. Soc. Am. 83, 961–969 (1988).
18. S. T. McDaniel and A. D. Gorman, “An examination of the composite-roughness scattering model,” J. Acoust. Soc. Am. 73,1476-1485 (1983).
19. For correspondence with Eq. 21–63 of Ref. 7, differences in cross-section definition and spectral density normalization must be taken into account.
20. B. J. Kachoyan and C.Macaskill, “Acoustic scattering from an arbitrarily rough surface,” J. Acoust. Soc. Am. 82, 1720–1726 (1987).
21. C. Macaskill and B. J. Kachoyan, “Numerical evaluation of the statistics of acoustic scattering from a rough surface,” J. Acoust. Soc. Am. 84, 1826–1844 (1988).
22. D. H. Berman and J. S. Perkins, “Numerical investigations of rough surface scattering,” J. Acoust. Soc. Am. Suppl. 181, S21 (1987).
23. N. N. Galybin, “Backscattering of sound by a disturbed sea surface,” Sov. Phys. Acoust. 22, 193–197 (1976).
24. D. H. Berman and J. S. Perkins, “The Kirchhoff approximation and first-order perturbation theory for rough surface scattering,” J. Acoust. Soc. Am. 78, 1045–1051 (1985).
25. E. Bahar, “Scattering cross sections for random rough surfaces: Full wave analysis,” Radio Sci. 16, 331–341 (1981).
26. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, Oxford, England, 1963).
27. A. G. Voronovich, “A unified description of wave scattering at boundaries with large and small scale roughness,” in Progress in Underwater Acoustics, edited by H. M. Merklinger (Plenum, New York, 1987), pp. 25–34.