Abstract Dynamics of (1+1)D spatial solitons in a Kerr medium with a transversely symmetrical refractive index profile is investigated. Propagation of solitons is analysed theoretically by using an effective-particle approach. Analytical results show that the soliton oscillates periodically with a variable acceleration. The expression of oscillatory period is derived by introducing a concept of `average acceleration'. Both acceleration and oscillatory period are determined by the parameters of the input soliton and the waveguide. Propagations of solitons are simulated numerically and good agreement is obtained between the theoretical and numerical results.
Received: 21 February 2007
Revised: 28 March 2007
Accepted manuscript online:
Fund: Project supported by the Natural
Science Foundation of Zhejiang Province, China (Grant No Y105061)
and the Department of Education of Zhejiang Province (Grant No
20060493).
Cite this article:
Dong Liang-Wei(董亮伟), Jin Hong-Zhen(金洪震), and Wang Hui(王辉) Oscillation of spatial solitons in a waveguide with a symmetrical refractive index profile 2007 Chinese Physics 16 3004
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