复数圆环状光晶格中孤子传输特性及控制研究

Optical lattices provide convenient conditions for the experimental observation of the dynamical behavior of nonlinear discrete beam diffraction manipulation and optical lattice solitons, which have been proven to have important applications in all-optical routing, all-optical switches and photonic computer. There are great practical value and theoretical significance in the complete understanding of optical lattice solitons. Based on the nonlinear optical system with complex annular optical lattice, this project investigates the propagation properties of optical beams in complex annular optical lattices. By using feasible complex annular optical lattices, we will get the following results:(1) giving the formation conditions of genrating fundamental soliton, vortex soliton, and multiple-poles soliton, etc; (2) getting power spectrum, internal mode, and the stability; (3) inverstigating the defect lattice soliton when the complex annular lattice has a defect and discussing the properties of surface lattice soliton at the interface of several circular rings; (4) steering soliton by modulating its phase or changing the depth and period of the complex annular lattice; and (5) discussing potential applications of the soliton in optical information precessing. The results of this project will make important contribution to the theory of singularly polarized lattice solitons.

光晶格为光束衍射操控及光晶格孤子现象等非线性离散动力学行为的实验观测提供了便利条件,并在全光路由、全光开关和光子计算机等方面具有重要的应用前景，对光晶格孤子的全面掌握具有巨大的实用价值和理论意义。 本项目基于由复数圆环状光晶格构建的非线性光学系统，重点研究光束在复数圆环状光晶格中的传输行为，求出基态孤子、涡旋孤子、多极孤子、项链孤子等多种晶格孤子的形成条件，分析其功率谱、内部模式及传输稳定性，讨论半无限光晶格和有缺陷的光晶格中孤子形成及传输情况，并利用空间相位调制技术或调节晶格深度、周期等参数的方法实现对光晶格孤子的操控，讨论它们在光信息处理方面的应用可能性，揭示晶格孤子在复数圆环状光晶格中的传输规律。

光晶格为光束衍射操控及光晶格孤子现象等非线性离散动力学行为的实验观测提供了便利条件,并在全光路由、全光开关和光子计算机等方面具有重要的应用前景，对光晶格孤子的全面掌握具有巨大的实用价值和理论意义。.项目研究了具有双周期PT势光晶格和具有贝塞尔环状PT势光晶格中形成基态晶格孤子、多峰孤子、涡旋孤子及项链孤子等带隙孤子的可能性，并讨论了其传输特性，解释了PT对称势对孤子形状的影响，揭示了光束在复数圆环状光晶格中的传输规律，讨论了利用PT对称势形成光开关及光波导的可能性。该研究可以进一步加深对宇称时间对称性破缺发生的条件的了解，可以更好地理解在不发生对称性破缺前提下孤子的形成机制及稳定性,对全面理解光晶格孤子及其传输规律有重要的补充作用。