The dynamics of nonlinear pulse propagation in arrays of linearly coupled optical waveguides is considered. For an array of three waveguides, a simplified model based on a variational method is able to predict the steady-state solutions and the strong coupling dynamics with a good degree of accuracy and to furnish a necessary condition for the existence of localized states, as confirmed by numerical solutions of the governing equations. The pulse–radiation interaction is also studied, revealing that additional, long-period oscillations overlap the linear coupling frequency. In the regime of initial conditions that lead to strong localization dynamics, we present a theoretical result that predicts to a good approximation the asymptotic localized state.
© 1997 Optical Society of America
Alejandro B. Aceves, Marco Santagiustina, and Costantino De Angelis, "Analytical study of nonlinear-optical pulse dynamics in arrays of linearly coupled waveguides," J. Opt. Soc. Am. B 14, 1807-1815 (1997)