Parametric gap solitons and chaos via second-harmonic generation in Bragg gratings

S. Trillo, C. Conti, G. Assanto, and A.V. Buryak

Chaos 10, 590-599 (2000)

Abstract:

We review the theory of light localization due to the combined action of single or double Bragg coupling between dichromatic counterpropagating envelopes and parametric mixing nonlinearities. We discuss existence, stability, andexcitation of such localized envelopes. We also investigate the link between stationary gap solitons and input-output response of nonlinear Bragg gratings. Frustrated transmission and multistable switching is expected to occur under suitable integrable (cascading) limits. Substantial deviations from these conditions lead to the onset of spatial chaos.