Scattering of Water Waves in an Ocean with Uniform Porous Bed by a Surface Discontinuity Due to Inertial Surfaces in Presence of Surface Tension

The phenomenon of scattering of water waves by a surface discontinuity over uniform porous sea-bottom of finite depth is investigated in the framework of linearized water wave theory. The surface discontinuity is thought of as originating due to two vast floating inertial surfaces of different materials having different densities. The inertial surfaces are considered to be subject to surface tension. The eigen function matching technique is used as the method of solution. Hydrodynamic parameters of interest such as reflection and transmission coefficients are obtained by employing residue calculus method. These coefficients are computed numerically by considering different values of the porosity parameter and for a fixed value of surface tension and the results are depicted graphically.