平行传输自陷光束的相互作用特性

INTERACTION PROPERTIES OF TWO PARALLEL-LAUNCHED SELF-TRAPPED BEAMS

研究了非相干情况下两个平行传输的自陷光束的相互作用．给出了ＣＮＬＳ方程所对应的拉格朗日中的非线性耦合项的解析表达,由此出发详细分析两自陷光束之间的相互作用特性．给出了由相互作用而形成稳定束缚态的判据,揭示了相互作用对两光束相位的影响,并由此解释了在相干情况下理论与实验的矛盾．分析结果表明,相互作用对自陷光束的振幅和光束宽度没有影响;势函数描述表明,在稳定情况下,它们以两自陷光束间隔的中心点为中心持续振荡,且振荡的幅度取决于两个孤子的初始间隔．

Incoherent interaction of two parallelly launched self-trapped beams was studied. The analytic expression of the nonlinear coupling term, which is the corresponding Lagrangian of CNLS, was presented, and by using it, the detailed interaction properties of the two beams were derived. The existing condition of steady mutual-trapped state was obtained. There exists the phase fluctuation during the interaction; the amplitudes and widths of two beams keep unaffected during the interaction. Using the potential function description, it was found that the two beams will keep oscillating periodically and the oscillation amplitude is dependent on initial separation.