Realization of a gravity-capillary wave surface using sub-nyquist spectral samples

Kyu Yoshimori; Kohzaburo Ohnaka; Kazuyoshi Itoh; Hiroshi Kawamura; Yoshiki Ichioka

doi:10.1007/s10043-997-0610-3

Realization of a gravity-capillary wave surface using sub-nyquist spectral samples

Kyu Yoshimori, Kohzaburo Ohnaka, Kazuyoshi Itoh, Hiroshi Kawamura, Yoshiki Ichioka

SCI - Center for Atmospheric and Oceanic Studies

Research output: Contribution to journal › Article › peer-review

Abstract

A method for numerical realization of a full gravity-capillary wave surface that is specified by a wave-spectral model and a dispersive relationship of the surface wave is developed on the basis of the angular spectral representation of a random water surface. A significant aspect of the method is that it requires a smaller number of spectral samples than that required by the Whitteker-Shannon sampling theorem for the complete generation of a full gravity-capillary wave surface, without resulting in any appreciable errors in auto-correlation functions for the surface displacement or surface slopes. The method enables the unified treatment of gravity and capillary waves in numerical studies of higher order characteristics of the thermal radiation emitted from, and the light scattered by, the wave surface.

Original language	English
Pages (from-to)	610-619
Number of pages	10
Journal	Optical Review
Volume	4
Issue number	5
DOIs	https://doi.org/10.1007/s10043-997-0610-3
Publication status	Published - 1997 Jan 1

Keywords

Ocean
Rough surface
Scattering
Thermal emission

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1007/s10043-997-0610-3

Cite this

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abstract = "A method for numerical realization of a full gravity-capillary wave surface that is specified by a wave-spectral model and a dispersive relationship of the surface wave is developed on the basis of the angular spectral representation of a random water surface. A significant aspect of the method is that it requires a smaller number of spectral samples than that required by the Whitteker-Shannon sampling theorem for the complete generation of a full gravity-capillary wave surface, without resulting in any appreciable errors in auto-correlation functions for the surface displacement or surface slopes. The method enables the unified treatment of gravity and capillary waves in numerical studies of higher order characteristics of the thermal radiation emitted from, and the light scattered by, the wave surface.",

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T1 - Realization of a gravity-capillary wave surface using sub-nyquist spectral samples

AU - Yoshimori, Kyu

AU - Ohnaka, Kohzaburo

AU - Itoh, Kazuyoshi

AU - Kawamura, Hiroshi

AU - Ichioka, Yoshiki

PY - 1997/1/1

Y1 - 1997/1/1

N2 - A method for numerical realization of a full gravity-capillary wave surface that is specified by a wave-spectral model and a dispersive relationship of the surface wave is developed on the basis of the angular spectral representation of a random water surface. A significant aspect of the method is that it requires a smaller number of spectral samples than that required by the Whitteker-Shannon sampling theorem for the complete generation of a full gravity-capillary wave surface, without resulting in any appreciable errors in auto-correlation functions for the surface displacement or surface slopes. The method enables the unified treatment of gravity and capillary waves in numerical studies of higher order characteristics of the thermal radiation emitted from, and the light scattered by, the wave surface.

AB - A method for numerical realization of a full gravity-capillary wave surface that is specified by a wave-spectral model and a dispersive relationship of the surface wave is developed on the basis of the angular spectral representation of a random water surface. A significant aspect of the method is that it requires a smaller number of spectral samples than that required by the Whitteker-Shannon sampling theorem for the complete generation of a full gravity-capillary wave surface, without resulting in any appreciable errors in auto-correlation functions for the surface displacement or surface slopes. The method enables the unified treatment of gravity and capillary waves in numerical studies of higher order characteristics of the thermal radiation emitted from, and the light scattered by, the wave surface.

KW - Ocean

KW - Rough surface

KW - Scattering

KW - Thermal emission

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Realization of a gravity-capillary wave surface using sub-nyquist spectral samples

Abstract

Keywords

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