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
来源：
CHAOS SOLITONS & FRACTALS | 2022年 / 158卷
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.
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页数：9
相关论文
共 137 条
  • [1] Stable two-dimensional dispersion-managed soliton
    Abdullaev, FK
    Baizakov, BB
    Salerno, M
    [J]. PHYSICAL REVIEW E, 2003, 68 (06): : 666051 - 666054
  • [2] Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
    Abdullaev, FK
    Caputo, JG
    Kraenkel, RA
    Malomed, BA
    [J]. PHYSICAL REVIEW A, 2003, 67 (01): : 10
  • [3] Macroscopic quantum tunneling and resonances in coupled Bose-Einstein condensates with oscillating atomic scattering length
    Abdullaev, FK
    Kraenkel, RA
    [J]. PHYSICS LETTERS A, 2000, 272 (5-6) : 395 - 401
  • [4] SELF-INDUCED TRANSPARENCY SOLITONS IN NONLINEAR REFRACTIVE PERIODIC MEDIA
    ACEVES, AB
    WABNITZ, S
    [J]. PHYSICS LETTERS A, 1989, 141 (1-2) : 37 - 42
  • [5] Gap-soliton bullets in waveguide gratings
    Aceves, AB
    Fibich, G
    Ilan, B
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2004, 189 (3-4) : 277 - 286
  • [6] Agrawal G P., 2006, Nonlinear Fiber Optics, V4th, P195
  • [7] Agrawal GP., 2003, APPL NONLINEAR FIBER
  • [8] Bragg solitons in systems with separated nonuniform Bragg grating and nonlinearity
    Ahmed, Tanvir
    Atai, Javid
    [J]. PHYSICAL REVIEW E, 2017, 96 (03)
  • [9] Generation of nonparaxial accelerating fields through mirrors. II: Three dimensions
    Alonso, Miguel A.
    Bandres, Miguel A.
    [J]. OPTICS EXPRESS, 2014, 22 (12): : 14738 - 14749
  • [10] [Anonymous], 1998, MOL CRYST LIQ CRYS A
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