A comprehensive modeling of wave propagation in photonic devices

A simple and powerful modeling method is established to resolve travelling waves inside photonic devices. The basic idea is to transform usual space-time coordinates (z, t) into a mixed grid (u, v) in which waves propagate along their characteristic lines, resulting in an inherent numerical stability, as well as easy interpretation of all parametric variables and their derivatives. Beside examples of distributed-feedback (DFB) laser and semiconductor optical amplifier (SOA), we will discuss possible extension of the method toward higher-order precision, as well as its applications in ultra-fast pulse reshaping, laser dynamics, and nonlinear interactions. The aim is to offer a method for the handling of wave-propagating problems in photonic devices in general.