Surface/interface effect on band structures of nanosized phononic crystals

The band structures of transverse waves propagating in a two-dimensional phononic crystal composed of nanosized holes or elastic inclusions embedded in an elastic solid is calculated using the method based on the Dirichlet-to-Neumann map. The surface/interface effect of the nanosized holes/inclusions are taken into account by assuming the Young-Laplace equation at the surface/interface. Both square and triangular lattices are considered. Detailed calculations are presented for two cases: a square or triangular lattice of nanosized holes in an aluminum host and a square or triangular lattice of aluminum inclusions in a tungsten host. The results show that the consideration of the surface/interface effect is significant for nanosized phononic crystals. (C) 2012 Elsevier Ltd. All rights reserved.