Using resonant reflection breakwaters for surface wave suppression

The problem of surface gravity waves on a doubly periodic seabed is considered. Waves can travel along an arbitrary direction and the seabed is allowed to have a different periodicity in each direction. By utilizing the method of multiple scales, we analyze the interaction of the propagating waves when the Bragg condition is satisfied. The coupled-mode equations are derived and solved as a two-point boundary-value problem. Reflection characteristics for seabeds with different geometries are investigated. The theoretical study might provide the basis of new concepts for the design of tuned seabeds to protect offshore structures.