A frequency-domain finite element method for modeling of nonlinear optical waveguide discontinuities

A simple algorithm based on a finite element method is newly formulated in the frequency domain for the analysis of nonlinear optical waveguide discontinuities. The nonlinear field solutions are simply obtained by iterating the calculation of linear problem. To show the validity and usefulness of the present approach, numerical examples for self-focusing guiding phenomena and nonlinear gratings are presented.