A time domain algorithm for the dynamic analysis of linear and nonlinear devices based on coupled modes propagating with different group velocities is presented for the first time. As a test case, the numerical algorithm is applied to the analysis of a linear grating assisted co-directional coupler, in order to investigate quantitatively its limitations. As an application example, we show the simulation results on the switching dynamics of a current injection controlled grating assisted co-directional coupler sampled Bragg reflectors laser. References: 13
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