Interaction of interface plasmons and longitudinal optical phonons in a multilayer structure

The interaction between two-dimensional interface plasmons and longitudinal optical phonons in multilayer structures is analysed in this communication. The dispersion relations for the mixed modes are obtained for periodic boundary conditions in the direction normal to the layer planes. The energy gap between the two bands of mixed modes can be seen in the density of states ?_k(ω) at fixed k parallel to the layers. ?_k(ω) also exhibits singularities at the band edges characteristics of the one-dimensional periodic array of parallel layers.