Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2012-02-29
Nonlinear Sciences
Pattern Formation and Solitons
32 pages, 20 figures
Scientific paper
We study fundamental optical gap solitons in the model of a fiber Bragg grating (BG), which is subjected to a periodic modulation of the local reflectivity, giving rise to a supergrating. In addition, the local refractive index is also periodically modulated with the same period. It is known that the supergrating opens an infinite system of new bandgaps in the BG's spectrum. We use a combination of analytical and computational methods to show that each emerging bandgap is filled with gap solitons (GSs), including asymmetric ones and bound states of the GSs. In particular, bifurcations of the GSs created by the supergrating are studied in terms of a geometric analysis.
Malomed Boris A.
Wagenknecht Thomas
Yagasaki Kazuyuki
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