Scattering properties of an incident field upon a periodic array of id
entical rectangular barriers, each extending throughout the water dept
h, are calculated based on a Galerkin approximation to an integral rep
resentation of the problem derived using the linear theory of water wa
ves. The method incorporates full multi-modal scattering using a matri
x formulation and is equivalent to a corresponding two-dimensional aco
ustics problem also discussed.