Expression to predict the chromatic dispersion of a high-order mode in few-mode fibers

Abstract

A general expression for the waveguide dispersion of a propagation mode is derived from the wave equation. Furthermore, a simple expression for the waveguide dispersion of high-order modes is derived as a function of the mode field radius by substituting an approximated function of the electrical field distribution of the mode into the general expression. The chromatic dispersions of the LP₀₁, LP₁₁, LP₀₂, and LP₂₁ modes in a four-mode fiber are estimated using the proposed expression, and their accuracies are evaluated through simulations.