Surface polaritons in finite weakly disordered superlattice with dissipation

The paper deals with the theoretical investigation of surface polaritons (SP) in a finite weakly disordered superlattice (WDSL). The WDSL is considered to be made of the finite number of parallel two-dimensional electron systems (2DES). We suppose that the Landau-level filling factor ℵ is equal in all 2DES except one 2DES whose Landau-level filling factor is equal to ℵ_d. The external quantizing magnetic field is supposed to be directed perpendicularly to 2DES. It is found that when the dissipation in 2DES is taken into account the additional surface polariton (ASP) appears in the spectrum of SP. The effect of ASP disappearing when ℵ_d exceeds some critical value and the effect of separating of the ASP dispersion curve from the usual SP with the increase of ℵ_d are predicted