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

A plane wave in deep water is obliquely incident on an infinitelylong fixed vertical barrier immersed to a given depth. Partof the wave energy is reflected by the barrier and part is transmittedunder the barrier. Expressions for the reflection and transmissioncoefficients are derived in terms of an integral equation foreither the potential across the barrier or the horizontal velocityunder the barrier. The known exact solution for normally incidentwaves is then used as a one term Galerkin approximation to givevery accurate upper and lower bounds for the reflection andtransmission coefficients for all wavelengths and angles ofincidence.