中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2853-2857.doi: 10.1088/1674-1056/18/7/038

• • 上一篇    下一篇

Variational solutions for Hermite--Gaussian solitons in nonlocal nonlinear media

白东峰, 黄长春, 贺军峰, 王毅   

  1. Department of Mechanical Engineering, Henan Polytechnic Institute, Nanyang 473009, China
  • 收稿日期:2008-01-03 修回日期:2009-01-14 出版日期:2009-07-20 发布日期:2009-07-20

Variational solutions for Hermite--Gaussian solitons in nonlocal nonlinear media

Bai Dong-Feng(白东峰)†, Huang Chang-Chun(黄长春), He Jun-Feng(贺军峰), and Wang Yi(王毅)   

  1. Department of Mechanical Engineering, Henan Polytechnic Institute, Nanyang 473009, China
  • Received:2008-01-03 Revised:2009-01-14 Online:2009-07-20 Published:2009-07-20

PDF (PC)

796

赞

摘要： The physical features exhibited by Hermite--Gaussian (HG) beams propagating in nonlocal nonlinear media with Gaussian-shaped response are discussed with an approximate variational method. Using direct numerical simulations, we find that the beam properties in the normalized system are different with the change of the degree of nonlocality. It is shown that initial HG profiles break up into several individual beams with propagation when the degree of nonlocality $\alpha$ is small. HG beams can propagate stably when $\alpha$ is large enough.

Abstract: The physical features exhibited by Hermite--Gaussian (HG) beams propagating in nonlocal nonlinear media with Gaussian-shaped response are discussed with an approximate variational method. Using direct numerical simulations, we find that the beam properties in the normalized system are different with the change of the degree of nonlocality. It is shown that initial HG profiles break up into several individual beams with propagation when the degree of nonlocality $\alpha$ is small. HG beams can propagate stably when $\alpha$ is large enough.

Key words: nonlocal nonlinear media, variational approach, Hermite--Gaussian solitons

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

  • 42.65.Tg
02.30.Xx (Calculus of variations)