中国物理B ›› 2015, Vol. 24 ›› Issue (8): 84210-084210.doi: 10.1088/1674-1056/24/8/084210

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Evolution of dark solitons in the presence of Ramangain and self-steepening effect

于宇, 贾维国, 闫青, 门克内木乐, 张俊萍   

  1. Department of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
  • 收稿日期:2014-10-14 修回日期:2015-01-20 出版日期:2015-08-05 发布日期:2015-08-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61167004) and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2014MS0104).

Evolution of dark solitons in the presence of Ramangain and self-steepening effect

Yu Yu (于宇), Jia Wei-Guo (贾维国), Yan Qing (闫青), Menke Neimule (门克内木乐), Zhang Jun-Ping (张俊萍)   

  1. Department of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
  • Received:2014-10-14 Revised:2015-01-20 Online:2015-08-05 Published:2015-08-05
  • Contact: Jia Wei-Guo E-mail:jwg1960@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61167004) and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2014MS0104).

摘要: Based on the equation satisfied by optical pulse that is a slowly varying function, the higher-order nonlinear Schrödinger equation (NLSE) including Raman gain and self-steepening effect is deduced in detail, and a new Raman gain function is defined. By using the split-step Fourier method, the influence of the combined effect between Raman gain and self-steepening on the propagation characteristic of dark solitons is simulated in the isotropic fiber. The results show that gray solitons can be symmetrically formed by high order dark soliton, however self-steepening effect will inhibit the formation mechanism through the phenomenon that gray solitons are produced only in the trailing edge of the central black soliton. Meanwhile, the Raman gain changes the propagation characteristic of optical soliton and inhibits the self-steepening effect, resulting in the broadening of pulse width and the decreasing of pulse offset.

关键词: split-step Fourier method, self-steepening effect, dark soliton propagation characteristic

Abstract: Based on the equation satisfied by optical pulse that is a slowly varying function, the higher-order nonlinear Schrödinger equation (NLSE) including Raman gain and self-steepening effect is deduced in detail, and a new Raman gain function is defined. By using the split-step Fourier method, the influence of the combined effect between Raman gain and self-steepening on the propagation characteristic of dark solitons is simulated in the isotropic fiber. The results show that gray solitons can be symmetrically formed by high order dark soliton, however self-steepening effect will inhibit the formation mechanism through the phenomenon that gray solitons are produced only in the trailing edge of the central black soliton. Meanwhile, the Raman gain changes the propagation characteristic of optical soliton and inhibits the self-steepening effect, resulting in the broadening of pulse width and the decreasing of pulse offset.

Key words: split-step Fourier method, self-steepening effect, dark soliton propagation characteristic

中图分类号:  (Stimulated Raman scattering; CARS)

  • 42.65.Dr
42.65.Tg (Optical solitons; nonlinear guided waves) 42.65.Re (Ultrafast processes; optical pulse generation and pulse compression)