Simple nanometric structures enabling the multiplexing and cross-talk transfer of acoustic waves are presented. Such structures are constructed out of two monomode discrete cluster chains and two other clusters situated in between these chains. The clusters interact with one another through the elastic deformation of the substrate on which they are deposited, through the well known energy of interaction between two elastic dipoles. We assume that the cluster mass density is greater than that of the substrate and that the interactions between the clusters are smaller than the corresponding interactions in the substrate. With these assumptions, we may assume that a branch of acoustic waves localized along the chain of clusters exists below the surface Rayleigh wave branch. We show analytically that this simple structure can transfer with selectivity and in one direction one acoustic wavelength from one chain to the other, leaving neighbour acoustic wavelengths unaffected. We give closed form relations enabling us to obtain the values of the relevant physical parameters needed for this multiplexing phenomenon to happen at a chosen wavelength. Finally we illustrate this general theory with an application. |
