15 June 1994 New approach to the generation of realistic sea surfaces using stationary non-Gaussian random fields
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Abstract
The methods currently used for the generation of wind roughened sea surfaces suffer shortcomings. This paper shows that in the one-dimensional case (i.e. looking at the vertical movements of a single point on a sea surface in time) the problem of generating a time series of surface heights having the correct autocorrelation function and the required Cox-Munk distribution of slopes can be solved by generating a Gaussian random sequence with the appropriate autocorrelation function, and passing it through a non-linear pointwise transform to generate a sequence with the required properties. In the two-dimensional case the problem is not yet completely solved, as it is not clear whether an appropriate field of slopes can be integrated to generate a field of wave heights. Nevertheless, the results obtained so far serve as a correction to the algorithm where a pseudo sea surface is generated by convolving a field of independent slope values drawn from a Cox-Munk distribution with a spatial filter derived from the Pierson-Moskowitz power spectral density of surface heights.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael Wegener, Garry N. Newsam, "New approach to the generation of realistic sea surfaces using stationary non-Gaussian random fields", Proc. SPIE 2223, Characterization and Propagation of Sources and Backgrounds, (15 June 1994); doi: 10.1117/12.177932; https://doi.org/10.1117/12.177932
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