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. Google Scholar
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. Google Scholar
3. Voronovich, A. G., "Small-slope approximation in wave scattering by rough surface," Sov. Phys.-JETP, Vol. 62, 65-70, 1985.
doi:10.1088/0959-7174/3/2/007 Google Scholar
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.
doi:10.1088/0959-7174/5/4/001 Google Scholar
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.
doi:10.1121/1.400210 Google Scholar
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.
doi:10.1088/0959-7174/6/2/005 Google Scholar
7. Voronovich, A. G., "Non-local small-slope approximation for wave scattering from rough surfaces," Waves in Random Media, Vol. 6, 151-167, 1996.
doi:10.1017/S0022112080001590 Google Scholar
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. Google Scholar
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. Google Scholar
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.
doi:10.1029/92JC01492 Google Scholar
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. Google Scholar
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.
doi:10.1088/0959-7174/6/4/006 Google Scholar
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. Google Scholar
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). Google Scholar
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). Google Scholar
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. Google Scholar
18. Cox, C. and W. Munk, "Statistics of the sea surface derived from sun glitter," J. Mar. Res., Vol. 13, 198-227, 1954.
doi:10.1364/JOSA.44.000838 Google Scholar
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. Google Scholar
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.
doi:10.1063/1.343144
21. DeWolf, D. A., "Gaussian decomposition of beams and other functions," J. Appl. Phys., Vol. 65, No. 12, 5166-5169, 1989. Google Scholar
22. Yaglom, A. M., "An Introduction to the Theory of Stationary Random Functions," Prentice-Hall (Dover), 1962. Google Scholar
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.
doi:10.1017/S0022112063001452
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.
doi:10.1029/JC084iC08p04939 Google Scholar
27. Jackson, F. C., "The reflection of impulses from a nonlinear random sea," J. Geophys. Res., Vol. 84, 4939-4943, 1979.
doi:10.1029/JC091iC01p00995 Google Scholar
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.
doi:10.1029/JC088iC12p07597 Google Scholar
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.
doi:10.1029/JC089iC02p01961 Google Scholar
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.
doi:10.1029/JC094iC01p00967 Google Scholar
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. Google Scholar