Propagation of Solitary Pulses in Optical Fibers with Both Self-Steepening and Quintic Nonlinear Effects

作     者：李金花 C.Rogers K.W.Chow K.S.Chiang 

作者机构：School of Physics and Optoelectronic Engineering Nanjing University of Information Science and Technology Australian Research Council Centre of Excellence for Mathematics & Statistics of Complex Systems School of Mathematics The University of New South Wales Department of Mechanical Engineering University of Hong Kong Department of Electronic Engineering City University of Hong Kong 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2014年第61卷第6期

页      面：735-741页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0704[理学-天文学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：Support for this project has been provided by the Research Grants Council General Research Fund contract HKU 711713E 

主　　题：cubic-quintie nonlinear Schrodinger equation self-steepening pulse propagation 

摘      要：Pulse dynamics and stability in optical fibers in the presence of both self-steepening and quintic nonlinear effects are analyzed. Propagating profiles of the quintic derivative nonlinear Schr¨odinger model are isolated via two invariants of motion. The resulting canonical equation admits exact periodic propagating patterns in terms of the Jacobi elliptic functions, and solitary pulses are recovered in the long wave limit, i.e. degenerate cases of periodic profiles where each pulse is widely separated from the adjacent ones. Two families of such exact wave profiles are identified. The first one has a precise constraint concerning the magnitude of self-steepening and quintic nonlinear effects, while the second one permits more freedom. The reduction to the well established temporal soliton in an optical fiber waveguide in the absence of self-steepening and quintic nonlinearity is demonstrated explicitly. Numerical simulations are performed to identify regimes of parameter values where robust propagation patterns exist.