光子晶体光纤中色散管理的理论研究  

The theoretical study of dispersion management in a photonic crystal fiber

作　　者：杜银霄[1] 袁庆新[1] 李明玉[1] 邵立[1] 王文军[2] 

机构地区：[1]郑州航空工业管理学院数理系,郑州450015 [2]北京凝聚态物理国家实验室,中国科学院物理研究所,北京100190

出　　处：《中国科学：物理学、力学、天文学》2016年第6期41-46,共6页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(批准号:61274012,51472221,51372267);河南省高校科技创新人才支持计划(编号:14HASTIT018);河南省高等学校青年骨干教师资助计划(编号:2011GGJS-140)资助项目

摘　　要：光子晶体光纤在光通信和超快光学中具有广泛的应用.本文基于描述光子晶体光纤的非线性Schr?dinger方程,利用双线性方法,得到了该方程的双线性形式和解析单孤子解.通过对单孤子解的分析,研究孤子在光子晶体光纤中的传输特性.借助于色散管理的思想,通过改变光子晶体光纤中的群速度色散系数,我们讨论了孤子在不同群速度色散函数情况下的传输状态.如果光子晶体光纤的群速度色散系数为常数,则孤子能保持原有的速度和形状进行传输.如果群速度色散系数选为三角函数,孤子会呈现周期性传输.而当群速度色散系数函数为高斯函数时,孤子表现出局域孤子的特性.此外,如果将群速度色散系数函数定为线性函数,则能在光子晶体光纤中同时实现孤子压缩和放大.本文结论对于光子晶体光纤中的色散管理技术具有重要的理论参考价值.Photonic crystal fiber is widely used in optical communication and ultrafast optics. In this paper, the nonlinear Schr6dinger equation in the photonic crystal fiber is studied analytically. With the Horita method, the bilinear form are derived, and the analytic one-soliton solution for the nonlinear Schr6dinger equation are obtained, Through the analytic one-soliton solution obtained, the transmission characteristics of solitons in the photonic crystal fiber are analyzed with the different group velocity dispersion. With the help of the dispersion management technology, we discuss the soliton transmission in the case of different group velocity dispersion functions by changing the group velocity dispersion of the photonic crystal fiber. If the group velocity dispersion function of the photonic crystal fiber is constant, the solitons can keep their velocities and shapes during the transmission. If the group velocity dispersion function of the photonic crystal fiber is the trigonometric one, the solitons show the periodic transmission. While the group velocity dispersion function of the photonic crystal fiber is the Gauss one, the properties of local solitons are demonstrated. Moreover, when the group velocity dispersion function of the photonic crystal fiber is the linear one, the soliton compression and amplification in the photonic crystal fiber can be realized simultaneously. The conclusion of this paper provides a theoretical reference for the corresponding dispersion management technology in the photonic crystal fiber.

关 键 词：光子晶体光纤 孤子 色散管理 

分 类 号：O734[理学—晶体学] TN253[电子电信—物理电子学]