Simulation of a Random Profile of the Sea Surface

Abstract

We consider the problem of simulation of the slope field of a random surface profile, which is represented as a sum of a finite number of sinusoids with random phases. The behavior of the correlation function of the slopes is studied for equidistant and nonequidistant locations of the nodes of the model-field spectrum on the frequency axis. A new node-location method, which is based on the equalization of the amplitudes of the spectral components of the actual slope field and ensures maximum proximity of the correlation functions of the model and actual fields over the entire region of their definition, is proposed. Using this method, one can significantly reduce the number of the summed harmonics during the simulation of the sea wind waves. The problem of fluctuations of the above-water irradiance is studied using the proposed slope-simulation method and, as a result, its application efficiency is proved.