Stability of nonparaxial gap-soliton bullets in waveguide gratings

J.A. Ambassa Otsobo, L. Tiam Megne, C.B. Tabi and T.C. Kofané

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: We investigate the formation and propagation of gap-soliton bullets in nonlinear periodic waveguides at frequencies close to the gap for Bragg reflection beyond the paraxial approximation. Using a multiple-scales analysis, we derive a two-dimensional (2D) nonlinear Schrödinger equation with higher-order correction terms that consider the nonparaxial regimes in the slowly-varying envelope approximation. In addition, a fully numerical simulation of the newly derived model equation demonstrates that the mutual balancing between Kerr, dimensionality, higher-order dispersions and nonparaxiality allows shape-preserving propagation of gap-soliton bullets in a grating waveguide.

Keywords: Gap-soliton bullets; Nonparaxial approximation; 2D nonlinear Schrödinger equation; Higher-order dispersions (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002442

DOI: 10.1016/j.chaos.2022.112034

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