›› 2014, Vol. 23 ›› Issue (10): 104213-104213.doi: 10.1088/1674-1056/23/10/104213

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Higher-order solitons in amplitude-disordered waveguide arrays

刘海东a, 金洪震a, 董亮伟b   

  1. a Department of Physics, Zhejiang Normal University, Jinhua 321004, China;
    b Institute of Information Optics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2013-09-23 修回日期:2014-03-10 出版日期:2014-10-15 发布日期:2014-10-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11074221 and 11374268) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A040003).

Higher-order solitons in amplitude-disordered waveguide arrays

Liu Hai-Dong (刘海东)a, Jin Hong-Zhen (金洪震)a, Dong Liang-Wei (董亮伟)b   

  1. a Department of Physics, Zhejiang Normal University, Jinhua 321004, China;
    b Institute of Information Optics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2013-09-23 Revised:2014-03-10 Online:2014-10-15 Published:2014-10-15
  • Contact: Dong Liang-Wei E-mail:donglw@zjnu.cn
  • About author:42.65.Tg; 42.65.Jx; 42.65.Wi
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11074221 and 11374268) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A040003).

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摘要： We investigate the existence and stability of different families of spatial solitons in optical waveguide arrays whose amplitudes obey a disordered distribution. The competition between focusing nonlinearity and linearly disordered refractive index modulation results in the formation of spatial localized nonlinear states. Solitons originating from Anderson modes with few nodes are robust during propagation. While multi-peaked solitons with in-phase neighboring components are completely unstable, multipole-mode solitons whose neighboring components are out-of-phase can propagate stably in wide parameter regions provided that their power exceeds a critical value. Our findings, thus, provide the first example of stable higher-order nonlinear states in disordered systems.

关键词: disordered lattices, higher-order solitons, stability

Abstract: We investigate the existence and stability of different families of spatial solitons in optical waveguide arrays whose amplitudes obey a disordered distribution. The competition between focusing nonlinearity and linearly disordered refractive index modulation results in the formation of spatial localized nonlinear states. Solitons originating from Anderson modes with few nodes are robust during propagation. While multi-peaked solitons with in-phase neighboring components are completely unstable, multipole-mode solitons whose neighboring components are out-of-phase can propagate stably in wide parameter regions provided that their power exceeds a critical value. Our findings, thus, provide the first example of stable higher-order nonlinear states in disordered systems.

Key words: disordered lattices, higher-order solitons, stability

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation) 42.65.Wi (Nonlinear waveguides)