Split-step finite-element method applied to nonlinear integrated optics

Abstract

A useful numerical simulation technique is presented to solve nonlinear guided-wave problems in a planar or coaxial optical waveguide. This technique is a combination of the finite-element method and the finite-difference method. The former is applied to the waveguide cross section (xy or rθ plane), whereas the latter is applied to the propagation direction (z axis). With the split-step procedure a significant enhancement of computational efficiency is achievable. The usefulness of the present approach is demonstrated through a number of numerical examples, some of which are displayed here.