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

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)610-619
Number of pages10
JournalOptical Review
Issue number5
Publication statusPublished - 1997 Jan 1


  • Ocean
  • Rough surface
  • Scattering
  • Thermal emission

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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