Analytical study of nonlinear-optical pulse dynamics in arrays of linearly coupled waveguides

Year: 1997

Authors: Aceves A. B., Santagiustina M., De Angelis C.

Autors Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131; Dipartimento di Elettronica ed Informatica, Universita` di Padova, 35131 Padova, Italy

Abstract: 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. (C) 1997 Optical Society of America.

Journal/Review: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Volume: 14 (7)      Pages from: 1807  to: 1815

KeyWords: Nonlinear Optics
DOI: 10.1364/JOSAB.14.001807

Citations: 17
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