As is well-known, submerged horizontal cylinders can serve as waveguides for surface water waves. For large values of the wave number kin the direction of the cylinders, there is only one trapped wave. We construct asymptotics of these trapped modes and their frequencies as �in the case of nsubmerged cylinders by means of reducing the initial problem to a system of integral equations on the boundaries and then solving them using the Neumann series.

asymptotics, trapped waves.