Universal algorithm for the accurate computation of the modal characteristics of arbitrary-shape optical fibers

This paper is devoted to determining the complex propagation coefficients of surface-wave and leaky-wave eigenmodes of arbitrary-shape optical fibers. The original physical problem is reduced to a nonlinear spectral problem for Fredholm system of integral equations. We propose Galerkin´s method for the calculating of approximate values of the complex propagation coefficients. A practical efficiency of this method is been shown by comparing of solutions of some problems of the theory of electromagnetic waves with experimental data and the results obtained by other methods