Irregular and Non-linear Waves

doi:10.1007/978-94-007-0096-3_7

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Irregular and Non-linear Waves

A. J. Hermans

2011

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Key Takeaway

Key Takeaway: Surface waves are often irregular and non-linear, with their amplitudes being stochastically distributed across the surface.

Abstract

The surface waves of the sea are almost always random in the sense that detailed configuration of the surface varies in an irregular manner in both space and time. Section 7.1 contains a brief description of the Wiener spectrum in connection with the generalised Fourier representations for the surface waves (S. Bochner, Vorlesungen uber Fouriersche Integrale, Chelsea, 1948 and N. Wiener, The Fourier Integral and certain of Its Applications, Dover, 1933). In this way we see how one may represent the surface elevation by a superposition of harmonic waves with amplitudes being a stochastic process.

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