Refraction of gravity waves by weak current gradients

KRISTIAN B. DYSTHE

doi:10.1017/S0022112001005237

Abstract

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When deep water surface waves cross an area with variable current, refraction takes place. If the group velocity of the waves is much larger than the current velocity we show that the curvature of a ray, χ, is given by the simple formula χ = ζ/vg. Here ζ is the vertical component of the current vorticity and vg is the group velocity.

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Refraction of gravity waves by weak current gradients

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