Propagation of surface polaritons in finite superlattices with dissipation

The paper deals with the theoretical investigation of surface polaritons (SP) in finite superlattices. The superlattices are considered to be formed of the finite number of parallel two-dimensional electron systems (2DES) which are placed in the external quantizing magnetic field. The external magnetic field is supposed to be directed perpendicularly to the 2DES. It is found that when the dissipation in 2DES is taken into account an additional surface polariton (ASP) appears in the spectrum of SP. The properties of ASP depend strongly upon the value of momentum relaxation frequency v of electrons in the 2DES. It is shown that at small values of v with the increase of 2DES number in the superlattice the character of ASP dispersion curve changes. In the case of high values of v the effect of separating of ASP´s dispersion curve from the usual SP with the increasing of 2DES amount is predicted