Progress In Electromagnetics Research
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Statistical Non-Gaussian Model of Sea Surface with Anisotropic Spectrum for Wave Scattering Theory. Part I

By V. I. Tatarskii and V. V. Tatarskii

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V. I. Tatarskii and V. V. Tatarskii, "Statistical Non-Gaussian Model of Sea Surface with Anisotropic Spectrum for Wave Scattering Theory. Part I," Progress In Electromagnetics Research, Vol. 22, 259-291, 1999.

1. Tatarskii, V. I., "The Effects of the turbulent atmosphere on wave propagation,", Published for NOAA and NSF by the Israel Program for Scientific Translations, Jerusalem, 1971.

2. Tatarskii, V. I., "Formulation of rough-surface scattering theory in terms of phase factors and approximate solutions based on this formulation," Waves in Random Media, Vol. 7, 557-578, 1997.

3. Voronovich, A. G., "Small-slope approximation in wave scattering by rough surface," Sov. Phys.-JETP, Vol. 62, 65-70, 1985.

4. Tatarskii, V. I., "The expansion of the solution of the roughsurface scattering problem in powers of quasi-slopes," Waves in Random Media, Vol. 3, 127-146, 1993.

5. Charnotskii, M. I. and V. I. Tatarskii, "Tilt-invariant theory of rough-surface scattering: I," Waves in Random Media, Vol. 5, 361-380, 1995.

6. Ishimaru, A. and J. S. Chen, "Scattering from very rough surfaces based on the modified second-order Kirchhoff approximation with angular and propagation shadowing," J. Acoust. Soc. Am., Vol. 88, No. 4, 1877-1883, 1990.

7. Voronovich, A. G., "Non-local small-slope approximation for wave scattering from rough surfaces," Waves in Random Media, Vol. 6, 151-167, 1996.

8. Huang, N. E. and S. R. Long, "An experimental study of the surface elevation probability distribution and statistics of windgenerated waves," J. Fluid Mech., Vol. 101, No. 1, 179-200, 1980.

9. Longuet-Higgins, M. S., "The statistical geometry of random surfaces," Proceedings of Symposia in Applied Mathematics, Vol. XIII, “HydrodynamicInstabilit y,” Amer. Math. Soc., Providence RI:105-143, 1962.

10. Nickolaev, N. I., O. I. Yordanov, and M. A. Mickalev, "Radar backscattering from non-Gaussian sea surface," Proceedings of IGARSS’91, Vol. 3, 1275-1278, Espoo, Finland, June 3-6, 1991.

11. Nickolaev, N. I., O. I. Yordanov, and M. A. Michalev, "Non-Gaussian effects in two-scale model for rough surface scattering," Journal Geophys. Res., Vol. 97, No. C10, 15.617-15.624, 1991.

12. Tatarskii, V. I. and G. A. Voronovich, "The role of non-Gaussian probability distribution in the wave scattering by rough surface theory," Proceedings of PIERS’94, 354, Noordwijk, The Netherlands, July 11-15, 1994.

13. Tatarskii, V. V. and V. I. Tatarskii, "Non-Gaussian statistical model of the ocean surface for wave-scattering theories," Waves in Random Media, Vol. 6, 419-435, 1996.

14. Beckmann, P., Orthogonal Polynomials for Engineers and Physicist, Section 6.2, The Golem Press, Boulder, Col., 1973.

15. Rosenfeld, S., "Modeling a pseudo-random sequence which has specified correlation and probability structure," Meteorol. and Hydrol., Vol. 3, 9-14, 1986 (in English and Russian).

16. Rosenfeld, S., "Some new methods for generating non-Gaussian autocorrelated sequences,", Advances of Soviet Scientific Center for Hydro-meteorological Information (World Data Center ``B") 153. Gidrometeoizdat, Moscow, Russia, 1988 (in Russian; abstract in English).

17. Newsam, G. N. and M.Wegener, "Generating non-Gaussian random fields for sea surface simulations," Proceedings of the 1994 International Conference on Acoustics, Speech and Signal Processing, Adelaide, South Australia, April 19-22, 1994.

18. Cox, C. and W. Munk, "Statistics of the sea surface derived from sun glitter," J. Mar. Res., Vol. 13, 198-227, 1954.

19. Cox, C. and W. Munk, "Measurement of the roughness of the sea surface from photographs of the sun’s glitter," J. Opt. Soc. Am., Vol. 44, No. 11, 838-850, 1954.

20. Kendall, M. and A. Stuart, The Advanced Theory of Statistics, 4th Ed., Section 4.8, 105 (Marcinkiewicz theorem) and Exerc. 4.11, 125, 1977.

21. DeWolf, D. A., "Gaussian decomposition of beams and other functions," J. Appl. Phys., Vol. 65, No. 12, 5166-5169, 1989.

22. Yaglom, A. M., "An Introduction to the Theory of Stationary Random Functions," Prentice-Hall (Dover), 1962.

23. Yaglom, A. M., Correlation Theory of Stationary and Related Random Functions, Vol. 1, 2, Springer-Verlag, NY, 1987.

24. Rytov, S. M., Y. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics, Vol. 1: Elements of Random Processes Theory (1987), Vol. 2: Correlation Theory of Random Processes (1988), Vol. 3: Elements of Random Fields (1989), Vol. 4: Wave Propagation Through Random media (1989), Springer-Verlag, Berlin.

25. Monin, A. S. and A. M. Yaglom, Statistical Hydrodynamics, Vol. 2, M.I.T. Press, 1975.

26. Longuet-Higgins, M. S., "The effect of non-linearities on statistical distributions in the theory of sea waves," J. Fluid Mech., Vol. 17, 459-480, 1963.

27. Jackson, F. C., "The reflection of impulses from a nonlinear random sea," J. Geophys. Res., Vol. 84, 4939-4943, 1979.

28. Srokosz, M. A., "On the joint distribution of surface elevation and slopes for a nonlinear random sea, with an application to radar altimetry," J. Geophys. Res., Vol. 91, No. C1, 995-1006, 1986.

29. Huang, N. E., S. R. Long, C. C. Tung, and Y. Yuan, "A non-Gaussian statistical model for surface elevation of nonlinear random wave field," J. Geophys. Res., Vol. 88, No. C12, 7,597-7,606, 1983.

30. Huang, N. E., S. R. Long, L. F. Bliven, and C. C. Tung, "The non-Gaussian joint probability density function of slope and elevation for nonlinear gravity wave field," J. Geophys. Res., Vol. 89, 1961-1972, 1984.

31. Tong, C. C., N. E. Huang, Y. Yuan, and S. R. Long, "Probability function of breaking-limited surface elevation," J. Geophys. Res., Vol. 94, No. C1, 967-972, 1989.

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