-A joint probability density is derived for wavelengths and wave heights.It is asymmetric anddepends only on the spectral bandwidthεdefined by Cartwright and Longuet-Higgins(1956).After that atheoretical probability density for wave steepness is obtained.It tends to Rayleigh distribution asε→0.Acomparison between theorethal steepness distribution and laboratory experiment result shows good agree-ment.
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