中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4298-4302.doi: 10.1088/1674-1056/18/10/034

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The (1+1)-dimensional spatial solitons in media with weak nonlinear nonlocality

丁娜, 郭旗   

  1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2009-03-02 修回日期:2009-04-09 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10474023 and 10674050), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No 20060574006), and the Program for Innovative Research Te

The (1+1)-dimensional spatial solitons in media with weak nonlinear nonlocality

Ding Na(丁娜) and Guo Qi(郭旗)†   

  1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China
  • Received:2009-03-02 Revised:2009-04-09 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10474023 and 10674050), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No 20060574006), and the Program for Innovative Research Te

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摘要： We study the propagation of (1+1)-dimensional spatial soliton in a nonlocal Kerr-type medium with weak nonlocality. First, we show that an equation for describing the soliton propagation in weak nonlocality is a nonlinear Schr?dinger equation with perturbation terms. Then, an approximate analytical solution of the equation is found by the perturbation method. We also find some interesting properties of the intensity profiles of the soliton.

Abstract: We study the propagation of (1+1)-dimensional spatial soliton in a nonlocal Kerr-type medium with weak nonlocality. First, we show that an equation for describing the soliton propagation in weak nonlocality is a nonlinear Schrödinger equation with perturbation terms. Then, an approximate analytical solution of the equation is found by the perturbation method. We also find some interesting properties of the intensity profiles of the soliton.

Key words: nonlocal nonlinear Schrödinger equation, weak nonlocality, spatial optical soliton

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
02.60.Lj (Ordinary and partial differential equations; boundary value problems) 42.65.Hw (Phase conjugation; photorefractive and Kerr effects)