The Effect of a Fixed Vertical Barrier on Obliquely Incident Surface Waves in Deep Water

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Abstract
A plane wave in deep water is obliquely incident on an infinitely long fixed vertical barrier immersed to a given depth. Part of the wave energy is reflected by the barrier and part is transmitted under the barrier. Expressions for the reflection and transmission coefficients are derived in terms of an integral equation for either the potential across the barrier or the horizontal velocity under the barrier. The known exact solution for normally incident waves is then used as a one term Galerkin approximation to give very accurate upper and lower bounds for the reflection and transmission coefficients for all wavelengths and angles of incidence.

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