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"Choppy wave" model for nonlinear gravity waves ArchiMer
Nouguier, Frederic; Guerin, Charles-antoine; Chapron, Bertrand.
We investigate the statistical properties of a three-dimensional simple and versatile model for weakly nonlinear gravity waves in infinite depth, referred to as the "choppy wave model" (CWM). This model is analytically tractable, numerically efficient, and robust to the inclusion of high frequencies. It is based on horizontal rather than vertical local displacement of a linear surface and is a priori not restricted to large wavelengths. Under the assumption of space and time stationarity, we establish the complete first- and second-order statistical properties of surface random elevations and slopes for long-crested as well as fully two-dimensional surfaces, and we provide some characteristics of the surface variation rate and frequency spectrum. We...
Tipo: Text Palavras-chave: Sea surface statistics; Nonlinear gravity waves.
Ano: 2009 URL: http://archimer.ifremer.fr/doc/2009/publication-6832.pdf
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Analytical Techniques for the Doppler Signature of Sea Surfaces in the Microwave Regime-II: Nonlinear Surfaces ArchiMer
Nouguier, Frederic; Guerin, Charles-antoine; Soriano, Gabriel.
This paper extends the results of a previous work by combining hydrodynamic and electromagnetic analytical models for the simulation of the ocean Doppler spectrum at microwave frequencies. We consider weakly nonlinear sea surfaces after the choppy wave model and incorporate them in classical and unified scattering models, namely, the Kirchhoff and weighted curvature approximations. We show that statistical expressions can be obtained for the Doppler spectrum in a way similar to the case of linear surfaces. As expected, the nonlinear nature of the sea surface dramatically impacts the Doppler spectrum at moderate to large incidence angles, with a shift of the central frequency and a broadening of the spectrum. Monte Carlo comparisons are performed with the...
Tipo: Text Palavras-chave: Doppler spectrum; Microwave; Nonlinear gravity waves; Remote sensing; Rough surfaces; Scattering; Sea surface.
Ano: 2011 URL: http://archimer.ifremer.fr/doc/00054/16555/14380.pdf
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Scattering From Nonlinear Gravity Waves: The "Choppy Wave" Model ArchiMer
Nouguier, Frederic; Guerin, Charles-antoine; Chapron, Bertrand.
To progress in the understanding of the impact of nonlinear wave profiles in scattering from sea surfaces, a nonlinear model for infinite-depth gravity waves is considered. This model, termed as the "Choppy Wave" Model (CWM), is based on horizontal deformation of a linear reference random surface. It is numerically efficient and enjoys explicit second-order statistics for height and slope, which makes it well adapted to a large family of scattering models. We incorporate the CWM into a Kirchhoff or small-slope approximation and derive statistical expressions for the corresponding incoherent cross section. We insist on the importance of "undressing" the wavenumber spectrum to generate a nonlinear surface with a prescribed spectrum. Interestingly, the...
Tipo: Text Palavras-chave: Nonlinear gravity waves; Remote sensing; Rough surfaces; Scattering; Sea clutter; Undressed spectrum.
Ano: 2010 URL: http://archimer.ifremer.fr/doc/00018/12974/10175.pdf
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