Water wave scattering by a surface discontinuity over a uniform porous bottom

Scattering of an incoming wave train by a discontinuity at the upper surface of the ocean over a uniform porous bottom of finite depth is considered here in the framework of linearized water wave theory. By employing residue calculus method, the reflection and transmission coefficient are obtained. These coefficients are computed numerically for different values of the porosity parameter G and these results are displayed in a number of Figs.