非均匀非线性波导中线光学畸形波及其传播控制  

Line Optical Rogue Waves and Transmission Controllingin Inhomogeneous Nonlinear Waveguides

作　　者：张解放[1] 楼吉辉[2] 

机构地区：[1]浙江传媒学院互联网与社会研究中心,浙江杭州310018 [2]浙江师范大学理论物理研究所,浙江金华321004

出　　处：《光学学报》2013年第9期219-226,共8页Acta Optica Sinica

基　　金：国家自然科学基金(11072219)

摘　　要：非均匀非线性波导中光脉冲的传播由(2+1)维变系数非线性薛定谔方程描述。通过引进相似变换,构建出非均匀非线性波导中的准确的二维一阶、二阶线光学畸形波解;深入讨论了它们在周期色散介质中的传播特性;给出了操控它们传播的控制条件。研究发现一阶、二阶光学畸形波解在平面上看具有类似于KP(KadomfsovPefrishvili)方程中线孤子解的特征,因此引进了线光学畸形波的概念。Optic pulse propagation in inhomogeneous nonlinear waveguides can be described by nonlinear Schr6dinger equation with （3 q-1） dimension variable coefficients. By using similar transformation, exact two-dimensional 1storder and 2nd-order optical rogue wave solutions is developed. Moreover, the dynamics of the two-dimensional 1storder and 2nd-order 2-dimensional rogue wave propagation in the waveguides with periodic dispersion are discussed. Finally, manipulating propagate conditions of two-dimensional optical rogue wave is given. Worth while pointing out especially, the formats of both 1-order and 2-order two-dimensional optical rogue wave in transverse section of the media are similar to line soliton of the KP （Kadomfsov-Pefrishvili） equation, so the concept of linear optical rogue wave is proposed in this paper.

关 键 词：非线性光学 （2＋1）维 非线性薛定谔方程 线畸形波 传播控制 

分 类 号：O437[机械工程—光学工程]