Mathematical methods for modeling wind wave anomalies on the ocean surface

The work is devoted to the construction of a mathematical model of the effect of currents on wind waves on the ocean surface and the study of fluctuations in sea waves by non-contact means (radar, radiometry, optical sensing devices).A review of numerous publications in this field is given and a new approach to calculating wind wave fluctuations using a special asymptotic method is proposed. This method allows us to obtain explicit analytical formulas for wind disturbance disturbances. At the same time, it is possible to analytically calculate the mentioned disturbances in both spectral and coordinate forms. This, in turn, allows us to explicitly calculate the perturbations of reflected radar signals and of the self-radiation from the agitated sea surface under the influence of currents.