Stability of nonparaxial gap-soliton bullets in waveguide gratings

被引:4
|
作者
Otsobo, J. A. Ambassa [1 ,2 ]
Megne, L. Tiam [1 ,2 ]
Tabi, C. B. [3 ]
Kofane, T. C. [1 ,2 ,3 ]
机构
[1] Univ Yaounde I, Fac Sci, Dept Phys, Lab Mech, POB 812, Yaounde, Cameroon
[2] Univ Yaounde I, Ctr Excellence Africain Technol Informat & Commun, Yaounde, Cameroon
[3] Botswana Int Univ Sci & Technol, Dept Phys & Astron, P-Bag 16, Palapye, Botswana
基金
美国国家科学基金会;
关键词
Gap-soliton bullets; Nonparaxial approximation; 2D nonlinear Schr?dinger equation; Higher-order dispersions; SELF-INDUCED TRANSPARENCY; 3-DIMENSIONAL SPINNING SOLITONS; DISPERSIVE DIELECTRIC FIBERS; NONLINEAR HELMHOLTZ-EQUATION; GINZBURG-LANDAU EQUATION; SPATIOTEMPORAL SOLITONS; OPTICAL PULSES; PROPAGATION; MEDIA; BEAM;
D O I
10.1016/j.chaos.2022.112034
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the formation and propagation of gap-soliton bullets in nonlinear periodic waveguides at fre-quencies close to the gap for Bragg reflection beyond the paraxial approximation. Using a multiple-scales analy-sis, we derive a two-dimensional (2D) nonlinear Schrodinger 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, dimen-sionality, higher-order dispersions and nonparaxiality allows shape-preserving propagation of gap-soliton bul -lets in a grating waveguide. (c) 2022 Published by Elsevier Ltd.
引用
收藏
页数:9
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