光学学报, 2014, 34 (5): 0519001, 网络出版: 2014-04-18
表面缺陷基态模孤子的性质及其临界行为
Properties and Critical Behavior of Fundamental Surface Defect Mode Soliton
非线性光学 半无限缺陷光格子 非线性介质 表面缺陷基态模 临界行为 全光控制技术 nonlinear optics semi-infinite defect lattices nonlinear media surface defect fundamental mode critical behavior all-optical control
摘要
表面缺陷基态模孤子的性质在实现全光控制方面有重要的应用。基于非线性薛定谔方程,利用虚时间变换、非线性松弛法以及分步傅里叶算法等数值方法对具有半无限缺陷光格子的克尔型非线性介质中存在的基态模的特性进行了详细研究。研究结果表明:对于吸引型半无限缺陷光格子,表面缺陷基态模只能分布于缺陷处,而对于排斥型半无限缺陷光格子,表面缺陷基态模既可以分布于缺陷处,也可以分布于其他格子通道处;每个系统参数存在着一个临界值,当其他参数保持不变的情况下,这个系统参数的数值大于或小于其临界值时,表面缺陷基态模将能或不能分布于缺陷处。从物理机制方面看,光格子与光束诱导的非线性折射率之间的竞争导致了这种临界行为的出现。
Abstract
Properties of the fundamental surface defect mode soliton have very important applications in all-optical control field. Based on nonlinear Schrdinger equation, properties of the fundamental surface defect mode, which can be supported by semi-infinite lattices with a local defect in Kerr-type nonlinear media, have been studied in details by employing numerical methods such as image-time method, nonlinear relaxation method and split-step Fourier algorithm. The research results show that the fundamental surface defect mode can only stay in the defect channel when the defect is attractive. However, when the defect is rejective, the fundamental surface defect mode can stay in the defect channel or not. In such a system, there are several critical values of the system parameters, and it is found that whether the fundamental defect mode can locate in the defect or not depends on whether the parameter value is higher or lower than its critical value when other parameters remain unchanged. In terms of physical mechanism, the competition between the optical lattices and nonlinear refractive index induced by optical beam leads to the occurrence of the critical behavior.
朱德生, 许飞, 张亮, 田永红, 徐大海. 表面缺陷基态模孤子的性质及其临界行为[J]. 光学学报, 2014, 34(5): 0519001. Zhu Desheng, Xu Fei, Zhang Liang, Tian Yonghong, Xu Dahai. Properties and Critical Behavior of Fundamental Surface Defect Mode Soliton[J]. Acta Optica Sinica, 2014, 34(5): 0519001.