Propagation of liquid surface waves over finite graphene structured arrays of cylinders

Based on the multiple scattering method, this paper investigates a benchmark problem of the propagation of liquid surface waves over finite graphene (or honeycomb) structured arrays of cylinders. Comparing the graphene structured array with the square structured and with triangle structured arrays, it finds that the finite graphene structure can produce more complete band gaps than the other finite structures, and the finite graphene structure has less localized ability than the other finite structures.