Opt Lett. 2013 Nov 15;38(22):4585-8. doi: 10.1364/OL.38.004585.
We investigate numerically the interactions of two in-phase and out-of-phase Airy beams and nonlinear (NL) accelerating beams in Kerr and saturable NL media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-phase case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-phase case, they repel each other and, after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.
我们在一维空间中数值研究了两束同相和异相 Airy 光束与 Kerr 和饱和非线性(NL)加速光束的相互作用。我们发现,束缚和非束缚孤子对以及单个孤子可以在这种相互作用中形成。如果两个入射光束之间的间隔相对于它们的第一个波瓣的宽度较大,则产生的孤子对只会单独传播而不会相互作用。然而,如果间隔与最大波瓣的宽度相当,则对会相互作用并表现出不同的行为。在同相情况下,它们相互吸引,并在最初失去一些辐射后表现出稳定的束缚态、振荡态和非束缚态。在异相情况下,它们相互排斥,并且在初始相互作用之后,作为单个孤子飞走。虽然入射光束显示出加速度,但从这些光束产生的孤子或孤子对则没有。