TY - JOUR
T1 - Stability of nonparaxial gap-soliton bullets in waveguide gratings
AU - Otsobo, J. A.Ambassa
AU - Megne, L. Tiam
AU - Tabi, C. B.
AU - Kofané, T. C.
N1 - Funding Information:
The work by CBT is supported by the Botswana International University of Science and Technology under the grant DVC/RDI/2/1/16I (25) . CBT thanks the Kavli Institute for Theoretical Physics (KITP), University of California Santa Barbara (USA), where this work was supported in part by the National Science Foundation Grant no. NSF PHY-1748958, NIH Grant no. R25GM067110 , and the Gordon and Betty Moore Foundation Grant no. 2919.01 .
Publisher Copyright:
© 2022
PY - 2022/5
Y1 - 2022/5
N2 - 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.
AB - 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.
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U2 - 10.1016/j.chaos.2022.112034
DO - 10.1016/j.chaos.2022.112034
M3 - Article
AN - SCOPUS:85127532121
SN - 0960-0779
VL - 158
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 112034
ER -