Calculation of the propagation constants of inhomogeneous nonlinear double-layer circular cylindrical waveguide by means of the Cauchy problem method

The problem of propagation of surface TM electromagnetic waves in an inhomogeneous Kerrnonlinear double-layer circular cylindrical waveguide is considered. It is shown that determination of the propagation constants of the considered waves is a a nonlinear conjugation eigenvalue problem for a system of two ordinary differential equations. A numerical method is proposed for determination of the propagation constants. Numerical results are reported.