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 $\pi<|\theta|<2\pi$.
Received: 06 December 2007
Revised: 12 December 2007
Accepted manuscript online:
(Frequency conversion; harmonic generation, including higher-order harmonic generation)
Fund: 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).
Cite this article:
Wang Yu-Qing(王玉青) and Guo Qi(郭旗) Rotating soliton clusters in nonlocal nonlinear media 2008 Chin. Phys. B 17 2527
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