A. Chakrabarti et T. Sahoo, REFLECTION OF WATER-WAVES BY A NEARLY VERTICAL POROUS WALL, Journal of the Australian Mathematical Society. Series B. Applied mathematics, 37, 1996, pp. 417-429
The problem of reflection of water waves by a nearly vertical porous w
all has been investigated. A perturbational analysis has been applied
for the first order correction to be employed to the corresponding ver
tical wall problem. The Green's function technique has been used to ob
tain the solution of the boundary value problem at hand, after utilisi
ng a mixed Fourier transform together with an idea involving the regul
arity of the transformed function along the real axis. The cases of fl
uid of finite as well as infinite depth have been taken into considera
tion. Particular shapes of the wall have been considered and numerical
results are also discussed.