Gap solitons in grating superstructures

Details Gap solitons in grating superstructures Gap solitons in grating superstructures

2008-05-13

arxiv.org/abs/0805.1825v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 8 figures, Optics Express, in press

Scientific paper

10.1364/OE.16.007767

We report results of the investigation of gap solitons (GSs) in the generic model of a periodically modulated Bragg grating (BG), which includes periodic modulation of the BG chirp or local refractive index, and periodic variation of the local reflectivity. We demonstrate that, while the previously studied reflectivity modulation strongly destabilizes all solitons, the periodic chirp modulation, which is a novel feature, stabilizes a new family of double-peak fundamental BGs in the side bandgap at negative frequencies (gap No. -1), and keeps solitons stable in the central bandgap (No. 0). The two soliton families demonstrate bistability, coexisting at equal values of energy. In addition, stable 4-peak bound states are formed by pairs of fundamental GSs in bandgap -1. Self-trapping and mobility of the solitons are studied too.

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