Effect of Porous Uneven Seabed on a Water-Wave Diffraction Problem
Utilizing the linearized wave theory, the issue of the diffraction of obliquely progressive waves by a little contortion on a porous sea-bed is investigated. By the help of perturbation hypothesis, the related problem is diminished to a boundary value problem (BVP) for the first-order velocity potential function. Then the first-order potential function and, henceforth, the first-order reflection as well as transmission coefficients are evaluated by Fourier transform technique. A particular frame of sinusoidal ripples has been considered for verifying the theoretical results.