Statistical Lens Development When Taking into Account Wave Correlation of Randomly Uneven Surface
The article is devoted to modelling a randomly uneven surface, taking into account the correlation of slopes. The facts of observation of the underwater relief from space are presented, and an explanation is proposed based on the assumption that a statistical lens can form on the water surface. A spectral representation method is described, which allows one to construct random surfaces with a given correlation function. This method is implemented in the MATLAB software environment. To check the program, the relief of the CD-ROM was reproduced, obtained using an atomic force microscope. As a next step, a disturbed water surface is simulated, which acts on the transmitted rays like a real optical lens. The results obtained confirm the possibility of the formation of giant lenses on the surface of the seas and oceans, thus helping to distinguish the bottom topography from space.
Tags: randomly uneven surface slope correlation statistical lens корреляция уклонов случайно неровная поверхность статистическая линза
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