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Springer Proceedings in Earth and Environmental Sciences

ISSN:2524342

2024

Shumeyko, I.P.¹

Abramovich, A.Yu.¹

10.1007/978-3-031-54589-4_12

Light scattering on the sea surface is determined by the level of its roughness, which depends on the statistical characteristics of local slopes. The main model in the problems of sunlight scattering at the ocean–atmosphere boundary is the Cox-Munk (CM) model, which describes the dependence on wind speed of the two-dimensional distribution of slopes and statistical moments. The CM model is based on the decomposition of the two-dimensional probability density of local slope of the surface using the Gram–Charlier series. The coefficients of the series are determined by the statistical moments of the orthogonal components of the slope. Statistical moments are known only up to and including the fourth order, therefore truncated Gram–Charlier series are used. This leads to the appearance of negative values of the probability density function at the tails of the statistical distribution. The acceptance region for the slopes of the CM model, within which it is positive, is determined. It is shown that the boundaries of this region strongly depend on the wind speed. To solve the problems of remote sensing, the boundaries of the region of permissible slope ξ were recalculated into slope angles α using the equation α = arctgξ. It has been established that the CM model is valid for light winds at surface angles α of up to ~10°, and for winds of 14 m/s up to ~25°.

Cox-Munk model, Gram–Charlier series, Sea surface, Slope, Statistical moments, Sun glitter, Sunlight

2024-08-23 16:15:37