中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2527-2534.doi: 10.1088/1674-1056/17/7/031

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Rotating soliton clusters in nonlocal nonlinear media

王玉青, 郭旗   

  1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2007-12-06 修回日期:2007-12-12 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10474023 and 10674050), Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No 20060574006), and the Program for Innovative Research Team of the Higher Education in Guangdong Province, China (Grant No 06CXTD005).

Rotating soliton clusters in nonlocal nonlinear media

Wang Yu-Qing(王玉青) and Guo Qi(郭旗)†   

  1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China
  • Received:2007-12-06 Revised:2007-12-12 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10474023 and 10674050), Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No 20060574006), and the Program for Innovative Research Team of the Higher Education in Guangdong Province, China (Grant No 06CXTD005).

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摘要： From the study of the dynamics for the ring-like soliton clusters, we find that there exists a critical value of the ring radius, $d_{\rm cr}$, for the stationary rotation of the clusters with respect to the beam centre even in the presence of the relatively strong noise, and that the soliton clusters will not rotate but only undergo periodic collisions in the form of simple harmonic oscillator if the ring radius is large enough. We also show that the direction of the rotation can be opposite to the direction of phase gradient when the relative phase difference is within the domain $0<|\theta|<\pi$, while along the direction of phase gradient when the relative phase difference is within the domain $\pi<|\theta|<2\pi$.

关键词: nonlocal nonlinear Schr\"{o}dinger equation, spatial optical soliton, soliton clusters

Abstract: From the study of the dynamics for the ring-like soliton clusters, we find that there exists a critical value of the ring radius, $d_{\rm cr}$, for the stationary rotation of the clusters with respect to the beam centre even in the presence of the relatively strong noise, and that the soliton clusters will not rotate but only undergo periodic collisions in the form of simple harmonic oscillator if the ring radius is large enough. We also show that the direction of the rotation can be opposite to the direction of phase gradient when the relative phase difference is within the domain $0<|\theta|<\pi$, while along the direction of phase gradient when the relative phase difference is within the domain $\pi<|\theta|<2\pi$.

Key words: nonlocal nonlinear Schr?dinger equation, spatial optical soliton, soliton clusters

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

  • 42.65.Tg
42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)