A numerical method to solve the electromagnetic wave propagation problem in a cylindrical anisotropic inhomogeneous waveguide with longitudinal magnetization

Background. The aim of this work is to numerically study the problem of electromagnetic wave propagation in a cylindrical anisotropic inhomogeneous waveguide structure. Material and methods. The physical problem is reduced to solving the eigenvalue problem for a system of ordinary differential equations. The Galerkin method is applied to find a numerical solution to the problem using piecewise linear basis functions. Results. The authors have developed and implemented a numerical method for solving the propagation problem of an electromagnetic wave in an anisotropic waveguide, as well as carried out several numerical experiments. Conclusions. The proposed numerical method is an effective way to find an approximate solution to the problem of propagation of electromagnetic waves.