New approach to the generation of realistic sea surface using stationary non-Gaussian random fields

Michael Wegener; Garry N. Newsam

doi:10.1117/12.177932

15 June 1994 New approach to the generation of realistic sea surfaces using stationary non-Gaussian random fields

Michael Wegener, Garry N. Newsam

Proceedings Volume 2223, Characterization and Propagation of Sources and Backgrounds; (1994) https://doi.org/10.1117/12.177932
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

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.

Citation Download Citation

Michael Wegener and 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); https://doi.org/10.1117/12.177932

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