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, Michael Wegener, Garry N. Newsam, 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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