光学学报, 2013, 33 (9): 0919001, 网络出版: 2013-08-08
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 Controlling in Inhomogeneous Nonlinear Waveguides
非线性光学 (2+1)维 非线性薛定谔方程 线畸形波 传播控制 nonlinear optics (2+1) dimension nonlinear Schrdinger equation linear rogue wave transmission controlling
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(Kadomfsov-Pefrishvili)方程中线孤子解的特征,因此引进了线光学畸形波的概念。
Abstract
Optic pulse propagation in inhomogeneous nonlinear waveguides can be described by nonlinear Schrdinger equation with (3+1) dimension variable coefficients. By using similar transformation, exact two-dimensional 1st-order and 2nd-order optical rogue wave solutions is developed. Moreover, the dynamics of the two-dimensional 1st-order 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.
张解放, 楼吉辉. 非均匀非线性波导中线光学畸形波及其传播控制[J]. 光学学报, 2013, 33(9): 0919001. Zhang Jiefang, Lou Jihui. Line Optical Rogue Waves and Transmission Controlling in Inhomogeneous Nonlinear Waveguides[J]. Acta Optica Sinica, 2013, 33(9): 0919001.