Zhang Yiqi, Belić Milivoj R, Zheng Huaibin, Chen Haixia, Li Changbiao, Li Yuanyuan, Zhang Yanpeng
Opt Express. 2014 Mar 24;22(6):7160-71. doi: 10.1364/OE.22.007160.
We investigate numerically interactions between two in-phase or out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media in one transverse dimension. We discuss different cases in which the beams with different intensities are launched into the medium, but accelerate in opposite directions. Since both the Airy beams and nonlinear accelerating beams possess infinite oscillating tails, we discuss interactions between truncated beams, with finite energies. During interactions we see solitons and soliton pairs generated that are not accelerating. In general, the higher the intensities of interacting beams, the easier to form solitons; when the intensities are small enough, no solitons are generated. Upon adjusting the interval between the launched beams, their interaction exhibits different properties. If the interval is large relative to the width of the first lobes, the generated soliton pairs just propagate individually and do not interact much. However, if the interval is comparable to the widths of the maximum lobes, the pairs strongly interact and display varied behavior.
我们在一个横向维度上对克尔和可饱和非线性介质中两个同相或异相艾里光束与非线性加速光束之间的相互作用进行了数值研究。我们讨论了不同强度的光束射入介质但沿相反方向加速的不同情况。由于艾里光束和非线性加速光束都具有无限振荡的尾部,我们讨论了具有有限能量的截断光束之间的相互作用。在相互作用过程中,我们看到产生了不加速的孤子和孤子对。一般来说,相互作用光束的强度越高,越容易形成孤子;当强度足够小时,不会产生孤子。通过调整射入光束之间的间隔,它们的相互作用表现出不同的特性。如果间隔相对于第一个波瓣的宽度较大,产生的孤子对只是单独传播,相互作用不大。然而,如果间隔与最大波瓣的宽度相当,这些孤子对会强烈相互作用并表现出不同的行为。