PT对称光学格子介质中时空孤子的演化研究  

Research on the Evolution of Spatiotemporal Solitons in PT-symmetric Optical Lattice Medium

作　　者：邓杨保 邓曙光 文兵 DENG Yangbao;DENG Shuguang;WEN Bing(College of Information and Electronic Engineering,Hunan City University,Yiyang,Hunan 413000,China)

机构地区：[1]湖南城市学院信息与电子工程学院

出　　处：《湖南城市学院学报（自然科学版）》2019年第5期55-60,共6页Journal of Hunan City University:Natural Science

基　　金：国家自然科学基金资助项目(61605045);湖南省自然科学基金资助项目(2017JJ3012)

摘　　要：首先解析求解具有PT对称结构的(2+1)变系数非线性薛定谔方程,获得PT时空孤子解;然后详细地讨论了PT时空孤子在3种不同衍射/色散介质中的演化特性.研究结果表明:当衍射/色散系数为常数或指数衰减函数时,无啁啾PT时空孤子的强度随传输距离始终保持不变,而啁啾PT时空孤子的强度随传输距离呈现增长趋势,此时PT时空孤子的传输是不稳定的;当衍射/色散系数为周期性调制函数时,无啁啾PT时空孤子的强度随传输距离也是始终保持不变的,而啁啾PT时空孤子的强度随传输距离呈现周期性变化,此时PT时空孤子能够稳定传输.The (2+1)-D nonlinear Schroinger equation with variable coefficients and parity-time (PT)-symmetric optical lattice was analytically solved, and PT spatiotemporal soliton solutions were obtained. Then the evolution properties of the PT spatiotemporal solitons were discussed in detail at three kinds of diffraction/dispersion mediums. The results show that when the diffraction/dispersion coefficient is a constant or an exponential decay function, the intensity of a chirped-free PT spatiotemporal soliton keeps unchanged with the transmission distance, but the intensity of a chirped PT spatiotemporal soliton gradually increases with the transmission distance, and the transmission of the PT spatiotemporal soliton is unstable. When the diffraction/dispersion coefficient is a periodic modulated function, the intensity of the PT spatiotemporal soliton with chirped-free is also invariant, while the intensity of a chirped PT spatiotemporal soliton varies periodically with the transmission distance, and the PT spatiotemporal soliton can propagate stably.

关 键 词：PT对称光学格子 时空孤子 演化 变系数 

分 类 号：O437[机械工程—光学工程]