Simple numerical scheme for modelling of nonlinear pulse propagation in coupled microring resonators

Nonlinear coupled equations that describe propagation of optical pulses in coupled microring resonators under the slowly varying envelope approximation can be solved by a simple explicit finite-difference scheme. The technique, which is based on upwind differencing, is demonstrated by using an example of Kerr-nonlinear structure consisting of one microring resonator coupled to a waveguide. This enables us to study stability of the scheme and its typical features.