Distribution of ocean waves by Rayleigh

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SUMMARY

The analysis of wave measurements close to shore confirms that the Rayleigh distribution effectively describes wave heights when wave amplitudes are small relative to the mean depth. This distribution arises from the superposition of multiple wave sources, each contributing minimally to the total wave height. The conditions for this model include arbitrary phase and amplitude of individual waves, while maintaining a constant total sending power.

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Dbe.098
I heard that the analysis of wave measurements close to shore verifies that as long as wave amplitudes are small with respect to mean depth a Rayleigh distribution remains satisfactory of wave heights, but how ?
 
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Dbe.098 said:
I heard that the analysis of wave measurements close to shore verifies that as long as wave amplitudes are small with respect to mean depth a Rayleigh distribution remains satisfactory of wave heights, but how ?

The Rayleigh Distribution occurs when there are many sources of waves arriving at the observer and combining. Each one must make only a small contribution to the total. The waves have arbitrary phase and amplitude, but the total "sending" power is constant.
 

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