“…There are several well-known methods for analysis of signal propagation in different dielectric waveguides and optical fibres: analytical [1,2,4,6,8], semi-analytical [2,5,8] and numerical [2,7,8]. In the present work we consider a new aspect of the analytical method for analysing linear and nonlinear polariton waves generated in cylindrical dielectric waveguides or optical fibres.…”