›› 2014, Vol. 23 ›› Issue (7): 74208-074208.doi: 10.1088/1674-1056/23/7/074208

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

Transversal reverse transformation of anomalous hollow beams in strongly isotropic nonlocal media

戴志平a, 杨振军b, 张书敏b, 庞兆广b, 游开明a   

  1. a Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421002, China;
    b Department of Physics and Hebei Advanced Thin Film Laboratory, Hebei Normal University, Shijiazhuang 050024, China
  • 收稿日期:2014-02-24 修回日期:2014-04-14 出版日期:2014-07-15 发布日期:2014-07-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61308016, 11374089, and 11347121), the Natural Science Foundation of Hebei Province, China (Grant Nos. A2012205023, F2012205076, and A2012205085), the Natural Science Foundation of Hunan Province, China (Grant No. 13JJ4097), the China Postdoctoral Science Foundation (Grant No. 2014M551041), the Research Foundation of Education Bureau of Hebei Province, China (Grant No. ZD20131014), and Hebei Normal University Foundation, China (Grant No. L2011B06).

Transversal reverse transformation of anomalous hollow beams in strongly isotropic nonlocal media

Dai Zhi-Ping (戴志平)a, Yang Zhen-Jun (杨振军)b, Zhang Shu-Min (张书敏)b, Pang Zhao-Guang (庞兆广)b, You Kai-Ming (游开明)a   

  1. a Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421002, China;
    b Department of Physics and Hebei Advanced Thin Film Laboratory, Hebei Normal University, Shijiazhuang 050024, China
  • Received:2014-02-24 Revised:2014-04-14 Online:2014-07-15 Published:2014-07-15
  • Contact: Yang Zhen-Jun E-mail:zjyang@vip.163.com
  • About author:42.65.Tg; 42.65.Jx
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61308016, 11374089, and 11347121), the Natural Science Foundation of Hebei Province, China (Grant Nos. A2012205023, F2012205076, and A2012205085), the Natural Science Foundation of Hunan Province, China (Grant No. 13JJ4097), the China Postdoctoral Science Foundation (Grant No. 2014M551041), the Research Foundation of Education Bureau of Hebei Province, China (Grant No. ZD20131014), and Hebei Normal University Foundation, China (Grant No. L2011B06).

摘要: Based on the nonlocal nonlinear Schrödinger equation, the propagation properties of anomalous hollow beams in strongly isotropic nonlocal media are investigated. The analytical expressions of the beam propagation, the on-axis intensity and the beam width are obtained. The results show that the evolution of the beam is periodical and the input power is the most important parameter. The input power determines the variation of the period. Furthermore, it is found that there exists a critical input power in the x direction and in the y direction separately when the initial beam widths in the two transversal directions are unequal. The beam width remains invariant in the corresponding transversal direction when the input power equals the critical power in one of the transversal directions. Selecting a proper input power, the beam can be broadened or compressed in the two transversal directions at the same time. In particular, the beam can be broadened (compressed) in one transversal direction, whereas in the other transversal direction, it is compressed (broadened), i.e., the transversal reverse transformation.

关键词: spatial nonlocality, beam propagation, transversal reverse transformation

Abstract: Based on the nonlocal nonlinear Schrödinger equation, the propagation properties of anomalous hollow beams in strongly isotropic nonlocal media are investigated. The analytical expressions of the beam propagation, the on-axis intensity and the beam width are obtained. The results show that the evolution of the beam is periodical and the input power is the most important parameter. The input power determines the variation of the period. Furthermore, it is found that there exists a critical input power in the x direction and in the y direction separately when the initial beam widths in the two transversal directions are unequal. The beam width remains invariant in the corresponding transversal direction when the input power equals the critical power in one of the transversal directions. Selecting a proper input power, the beam can be broadened or compressed in the two transversal directions at the same time. In particular, the beam can be broadened (compressed) in one transversal direction, whereas in the other transversal direction, it is compressed (broadened), i.e., the transversal reverse transformation.

Key words: spatial nonlocality, beam propagation, transversal reverse transformation

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)