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Dynamics of simple soliton arrays in architectured guide structures

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Abstract

Recent experimental work on harmonic modelocking shows constraints on temporal spacing and frequency spectra can produce highly uniform trains of solitons. In addition, recent numerical simulation and analytical work predict: (1) solitons on the separate cores of dual core fiber can exhibit both repulsive and attractive interactions, and (2) individual solitons, satisfying certain threshold conditions, can propagate primarily on one core of dual core fiber despite significant coupling between guides. We use numerical simulation and analytical techniques to study the consequences of these findings for simple soliton arrays propagating in dual guide structures. In particular, we examine the case where strong constraints are imposed on the temporal spacing, amplitude, and frequency spectra of solitons in a given core, but weaker, or no constraints are imposed on solitons in the adjacent core. We find conditions, e.g., where a uniform train of solitons propagates primarily in the core where the strong constraints are imposed. We also find interesting dynamics for a “free” soliton in the second core that result from the interaction of the “free” soliton with the periodic potential produced by presence of the uniform soliton train on the first core. We examine routes to stability of this coupled system.

© 1993 Optical Society of America

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