High-Order Split-Step Schemes for Time-Dependent Coupled-Wave Equations

A high-order split-step algorithm is developed and presented to solve the time-dependent coupled-wave equations for traveling-wave optical fields in a variety of grating-based optical devices such as the distributed feedback and distributed Bragg reflector lasers. Based on the Suzuki´s fractal decomposition approach, Lie-Trotter-Suzuki product formula is used to construct the higher order solution that converges faster than the conventional split-step method. The accuracy and efficiency of the new scheme are assessed by way of examples and shown to be superior to those of the conventional method