Gap solitons in Bragg gratings with a harmonic superlattice

Abstract

Solitons are studied in a model of a fiber Bragg grating (BG) whose local reflectivity is subjected to periodic modulation. The superlattice opens an infinite number of new bandgaps in the model's spectrum. Averaging and numerical continuation methods show that each gap gives rise to gap solitons (GSs), including asymmetric and double-humped ones, which are not present without the superlattice.Computation of stability eigenvalues and direct simulation reveal the existence of completely stable families of fundamental GSs filling the new gaps - also at negative frequencies, where the ordinary GSs are unstable. Moving stable GSs with positive and negative effective mass are found too.

arXiv comment7 pages, 3 figures, submitted to EPL

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Cited by in corpus (7)

• Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
• Observation of two-dimensional superlattice solitons
• Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices
• Slow-light effect in dual-periodic photonic lattice
• Gap solitons in grating superstructures
• Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices
• Families of solitons in Bragg supergratings