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

doi:10.1088/1674-1056/23/7/074208

›› 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

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

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/Abstract

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)

戴志平, 杨振军, 张书敏, 庞兆广, 游开明. Transversal reverse transformation of anomalous hollow beams in strongly isotropic nonlocal media[J]. , 2014, 23(7): 74208-074208.

Dai Zhi-Ping (戴志平), Yang Zhen-Jun (杨振军), Zhang Shu-Min (张书敏), Pang Zhao-Guang (庞兆广), You Kai-Ming (游开明). Transversal reverse transformation of anomalous hollow beams in strongly isotropic nonlocal media[J]. Chin. Phys. B, 2014, 23(7): 74208-074208.

参考文献 34

[1]	Peccianti M, Conti C and Assanto G 2005 Opt. Lett. 30 415
[2]	Rotschild C, Cohen O, Manela O and Segev M 2005 Phys. Rev. Lett. 95 213904
[3]	Skupin S, Saffman M and Królikowski W 2007 Phys. Rev. Lett. 98 263902
[4]	Pedri P and Santos L 2005 Phys. Rev. Lett. 95 200404
[5]	Mamaev A V, Zozulya A A, Mezentsev V K, Anderson D Z and Saffman M 1997 Phys. Rev. A 56 R1110
[6]	Guo Q, Luo B, Yi F, Chi S and Xie Y 2004 Phys. Rev. E 69 016602
[7]	Deng D M and Guo Q 2008 J. Opt. A: Pure Appl. Opt. 10 035101
[8]	Deng D M, Guo Q and Hu W 2009 Opt. Lett. 34 43
[9]	Cheng S, Wang Q, Ge L J, Shi J L, Ding H X and Shen M 2011 Chin. Phys. B 20 054206
[10]	Liang G and Guo Q 2013 Phys. Rev. A 88 043825
[11]	Shen M, Lin Y Y, Jeng C C and Lee R K 2012 J. Opt. 14 065204
[12]	Ye F W, Kartashov Y V, Hu B and Torner L 2010 Opt. Lett. 35 628
[13]	Ge L J, Wang Q, Shen M and Shi J L 2011 Opt. Commun. 284 2351
[14]	Yang Z J, Ma X K, Zheng Y Z, Gao X H, Lu D Q and Hu W 2011 Chin. Phys. Lett. 28 074213
[15]	Kong Q, Wang Q, Bang O and Krolikowski W 2010 Opt. Lett. 35 2152
[16]	Kong Q, Shen M, Chen Z Y, Wang Q, Lee R K and Krolikowski W 2013 Phys. Rev. A 87 063832
[17]	Yang Z J, Ma X K, Lu D Q, Zheng Y Z, Gao X H and Hu W 2011 Opt. Express 19 4890
[18]	Shi Z W, Li H G and Guo Q 2012 Phys. Lett. A 376 2509
[19]	Xu Z Y, Kartashov Y V and Torner L 2005 Phys. Rev. Lett. 95 1113901
[20]	Dai Z P and Guo Q 2011 J. Opt. Soc. Am. B 28 134
[21]	Dai Z P, Ling X H, Wang Y W and You K M 2013 Chin. Phys. B 22 104209
[22]	Wu Y K, Li J and Wu J 2005 Phys. Rev. Lett. 94 134802
[23]	Cai Y J 2007 Opt. Lett. 32 3179
[24]	Cai Y J, Eyyuboğlu H T and Baykal Y 2008 Opt. Commun. 281 5291
[25]	Liu D J and Zhou Z X 2009 Opt. Laser Technol. 41 877
[26]	Wang K L and Zhao C L 2009 J. Opt. Soc. Am. A 26 2571
[27]	Wang K L and Zhao C L 2010 Opt. Laser Technol. 42 1218
[28]	Cai Y J, Wang Z Y and Lin Q 2008 Opt. Express 16 15254
[29]	Wang K L and Zhao C L 2014 Opt. Laser Technol. 57 44
[30]	Yang Z J, Lu D Q, Hu W, Zheng Y Z, Gao X H and Guo Q 2010 Phys. Lett. A 374 4007
[31]	Lu D Q, Hu W, Zheng Y J, Liang Y B, Cao L G, Lan S and Guo Q 2008 Phys. Rev. A 78 043815
[32]	Bélanger P A 1991 Opt. Lett. 16 196
[33]	Yang Z J, Lu D Q, Deng D M, Li S H, Hu W and Guo Q 2010 Opt. Commun. 283 595
[34]	Yang Z J, Lu D Q, Hu W, Zheng Y Z and Gao X H 2010 Chin. Phys. B 19 124212

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

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

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