Abstract The coupling effect and stability property of symmetric bright holographic soliton pairs have been investigated numerically. Results show that when any one of the two solitary beams from a pair is perturbed in amplitude or width, both beams will be affected by such a perturbation via the coupling effect between the beams, thus resulting in both beams propagating in the medium without a constant shape; however, these two solitary beams are still stable against small perturbations. When both solitary beams from a pair are perturbed simultaneously in amplitude, for some given absolute values of the perturbations, the two beams are stable against these perturbations if both beams are perturbed with the same sign, whereas are unstable with the different signs. When the two beams are simultaneously perturbed in width, both beams exhibit their stability property similar to that when only one beam is perturbed no matter whether both perturbations have the same or different signs.
Received: 28 July 2003
Revised: 24 September 2003
Accepted manuscript online:
(Beam trapping, self-focusing and defocusing; self-phase modulation)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10174025) and the Key Project Foundation of the Education Ministry of China (Grant No 011118).
Cite this article:
Liu Jin-Song (刘劲松), Hao Zhong-Hua (郝中华) Coupling and stability of bright holographic soliton pairs 2004 Chinese Physics 13 704
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