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Springer Geology

ISSN:21979545

2021

10.1007/978-3-030-53521-6_14

The analysis of phase relations in a complex multicomponent wave field, which is the field of sea surface waves, is carried out. A spatially uniform and stationary wave field is considered. It is shown that in such a field, the simultaneous presence of free and bound waves at the same frequency leads to a nonlinear dependence of the phase spectrum on the distance between the points for which it is defined. As a consequence, the phase velocity values calculated from the phase shift vary depending on the distance between the points for which the phase shift is determined. The distribution of wave energy in the directions leads to the same effect. The value of the phase velocity calculated for a multicomponent wave field exceeds its theoretical value, which is obtained from the dispersion equation for gravitational waves. Under the most favorable conditions, which correspond to a fully developed wind wave, at the frequency of dominant waves, the excess is 5–10%. At higher frequencies, where the angular distribution function is wider, deviations from the theoretical value of the phase velocity increase. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2021.

Bound components, Coherence, Directional spreading function, Phase shift, Phase velocity

2021-03-17 15:31:52