REFLECTION OF WATER-WAVES IN THE PRESENCE OF SURFACE-TENSION BY A NEARLY VERTICAL POROUS WALL

In the present paper the problem of reflection of water waves by a nea rly vertical porous wall in the presence of surface tension has been i nvestigated. A perturbational approach for the first-order correction has been employed as compared with the corresponding vertical wall pro blem. A mixed Fourier transform together with the regularity property of the transformed function along the positive real axis has been used to obtain the potential functions along with the reflection coefficie nts up to first order. Whilst the problem of water of infinite depth i s the subject matter of the present paper, a similar approach is appli cable to problems associated with water of finite depth.