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Stability of nonparaxial gap-soliton bullets in waveguide gratings

Author

Listed:
  • Otsobo, J.A. Ambassa
  • Megne, L. Tiam
  • Tabi, C.B.
  • Kofané, T.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.

Suggested Citation

  • Otsobo, J.A. Ambassa & Megne, L. Tiam & Tabi, C.B. & Kofané, T.C., 2022. "Stability of nonparaxial gap-soliton bullets in waveguide gratings," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002442
    DOI: 10.1016/j.chaos.2022.112034
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    Cited by:

    1. Djazet, Alain & Fewo, Serge I. & Djoko, Martin & Felenou, E. Tchomgo & Kofané, Timoléon C., 2023. "Extension of the stability criterion for dissipative vector solitons of a laser coupled two-dimensional Ginzburg–Landau Equation generated from vector asymmetric inputs," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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