Model and algorithm of optimization of a refractive index profile of single-mode fibers for optical communication networks

摘要

In the given work the decision of a problem of search of a refractive index profile for the optical fiber giving the best approximation to the set dispersive characteristic is considered . The mathematical model describing spectral dependence of a dispersion of an optical fiber with an arbitrary axially-symmetric refractive index profile, in which basis - a varia-tional Gauss approximation method is submitted. The optimization algorithm for the profile, basing on the given model and using as criterion function the sum of squares of deviations from the set dispersion slope, is developed. Feature of algorithm - different steps of a grid of a refractive index profile on radius for variations on parameters of a profile and for calculations of a dispersion. Examples of realization of algorithm for flat and inverse dispersion slopes are shown.