中国物理B ›› 2011, Vol. 20 ›› Issue (3): 34208-034208.doi: 10.1088/1674-1056/20/3/034208

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Spatial solitons in photonic lattices with large-scale defects

杨晓雨1, 郑江波2, 董亮伟2   

  1. (1)College of Mathematics Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China; (2)Institute of Information Optics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2010-09-18 修回日期:2010-10-16 出版日期:2011-03-15 发布日期:2011-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10704067) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6100381).

Spatial solitons in photonic lattices with large-scale defects

Yang Xiao-Yu(杨晓雨)a), Zheng Jiang-Bo(郑江波) b), and Dong Liang-Wei(董亮伟)b)†   

  1. a College of Mathematics Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China; b Institute of Information Optics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2010-09-18 Revised:2010-10-16 Online:2011-03-15 Published:2011-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10704067) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6100381).

摘要: We address the existence, stability and propagation dynamics of solitons supported by large-scale defects surrounded by the harmonic photonic lattices imprinted in the defocusing saturable nonlinear medium. Several families of soliton solutions, including flat-topped, dipole-like, and multipole-like solitons, can be supported by the defected lattices with different heights of defects. The width of existence domain of solitons is determined solely by the saturable parameter. The existence domains of various types of solitons can be shifted by the variations of defect size, lattice depth and soliton order. Solitons in the model are stable in a wide parameter window, provided that the propagation constant exceeds a critical value, which is in sharp contrast to the case where the soliton trains is supported by periodic lattices imprinted in defocusing saturable nonlinear medium. We also find stable solitons in the semi-infinite gap which rarely occur in the defocusing media.

Abstract: We address the existence, stability and propagation dynamics of solitons supported by large-scale defects surrounded by the harmonic photonic lattices imprinted in the defocusing saturable nonlinear medium. Several families of soliton solutions, including flat-topped, dipole-like, and multipole-like solitons, can be supported by the defected lattices with different heights of defects. The width of existence domain of solitons is determined solely by the saturable parameter. The existence domains of various types of solitons can be shifted by the variations of defect size, lattice depth and soliton order. Solitons in the model are stable in a wide parameter window, provided that the propagation constant exceeds a critical value, which is in sharp contrast to the case where the soliton trains is supported by periodic lattices imprinted in defocusing saturable nonlinear medium. We also find stable solitons in the semi-infinite gap which rarely occur in the defocusing media.

Key words: defect solitons, photonic lattices, saturable nonlinearity

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

  • 42.65.Tg
42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation) 42.65.Wi (Nonlinear waveguides)