Scattering at the interface of free water and submerged elastic surface

Abstract

Oblique water waves are of significant importance in natural scenarios. We have offered a solution, for the scattering of oblique water waves at the interface of free water and finite submerged elastic surface of insignificant thickness, in this work. Implementing the mode matching technique with two different edge conditions – the pinned edge condition and the sliding edge condition – the answer is obtained. For a variety of physical parameters, including the submergence depth, angle of incidence, Poisson’s ratio, length, and stiffness of an elastic surface, the reflection coefficient at both edges is examined. Furthermore, an energy balance relation of the problem and convergence of the solution, which are satisfied, is presented.