Time-domain modeling of nonlinear pulse propagation with an extended stability spatially filtered

Abstract — Nonlinear pulse propagation studies for microwave and photonics applications are known to present large compu-tational load to conventional simulators, including commercial packages. Therefore, there is a need for innovating existing al-gorithms for nonlinear problems, especially the Finite-Difference Time-Domain (FDTD) method which is particularly suitable for nonlinear structure analysis. To this end, a numerical method-ology based on a recently introduced spatially filtered FDTD technique is presented and applied to nonlinear pulse propagation studies. It is demonstrated that the method is significantly faster than the standard nonlinear FDTD, while maintaining its level of accuracy. Index Terms — FDTD methods, numerical stability, pulse prop-agation in nonlinear media, periodic structures I