Coupled mode equations with free carrier effects: a numerical solution

摘要

We present a numerical method for solving a set of coupled mode equations describing light propagation through a medium with a grating and free carriers. The carriers, which are excited by the light and decay exponentially in time, lower the refractive index, thus rendering the system nonlinear. The method is fourth-order accurate, efficient, stable, easy to implement and well suited for vector and parallel computers.