Propagation of incident modulated waves past impermeable semi-infinite breakwaters
M. Graça Neves, M.A. Losada, I. J. Losada
Applied Ocean Research Vol 22, pp.55-60 [2000]

Abstract:
A possible source of resonant problems in a harbour is the long waves generated due to incident wave groups. For harbours protected by vertical breakwaters the diffraction of the group could generate free long waves. Using a multiple-scale perturbation method, the diffraction and reflection of a wave group past an impermeable semi-infinite vertical thin breakwater in horizontal bottom is studied. The relationship between the incident wave group and the generated free and locked long waves is derived and an analytical solution is presented. It is shown that free long waves could be generated due to the wave group propagation past the breakwater and that the range of angles for potential free long waves increases when the value of the relative depth decreases.