非均匀缓变折射率平板波导放大器中的畸形波  

ROGUE WAVES IN A PLANAR,GRADED-INDEX NONLINEAR WAVEGUIDES AMPLIFIER

作　　者：宋妮[1,2] 张伟[1] 杨晓峰[1,2] 曹东兴[1] 

机构地区：[1]北京工业大学机电学院,北京100124 [2]中北大学数学系,太原030051

出　　处：《动力学与控制学报》2015年第2期124-127,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金项目(11290152);高等学校博士学科点专项科研基金(20131103110026)~~

摘　　要：以缓变波导中光束传播的非线性传输方程为研究对象,研究了非均匀缓变折射率平板波导放大器中畸形波的非线性动力学性质.通过相似变换和直接假设,构建出带有自由函数的一阶精确畸形波解.在此基础上,针对不同类型的自由函数,通过数值模拟得到了不同畸形波的波形图,对于描述光纤中出现的一些物理现象具有重要的意义.Focusing on the nonlinear transmission equation in the graded-index waveguides, the nonlinear dynamic behaviors of the rogue wave in a planar amplifier were studied. The similarity transformation and direct hypothesis were used to construct the first order rogue wave solution with arbitrary function. On the basis of the solution, different rogue waves were obtained by numerical simulation in view of different types of free function. It is significant to describe the physical phenomena in the optical fibers.

关 键 词：畸形波 非线性传输方程 相似变换 

分 类 号：TN722[电子电信—电路与系统]