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

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

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.

Keywords: spatial nonlocality beam propagation transversal reverse transformation

Received: 24 February 2014
Revised: 14 April 2014
Accepted manuscript online:

PACS:	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.65.Jx	(Beam trapping, self-focusing and defocusing; self-phase modulation)

Fund: 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).

Corresponding Authors: Yang Zhen-Jun
E-mail: zjyang@vip.163.com

About author: 42.65.Tg; 42.65.Jx

Cite this article:

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 2014 Chin. Phys. B 23 074208

[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

[1]	M²-factor of high-power laser beams through a multi-apertured ABCD optical system Xiangmei Zeng(曾祥梅), Meizhi Zhang(张美志), Dongmei Cao(曹冬梅), Dingyu Sun(孙鼎宇), Hua Zhou(周花). Chin. Phys. B, 2020, 29(6): 064206.
[2]	Spatially nonlocal effects on optical absorption properties incoupled quantum wells with an applied electric field Wang Chao-Yang (王晁阳), Wang Guang-Hui (王光辉). Chin. Phys. B, 2014, 23(12): 127103.
[3]	Passive polarization rotator based on silica photonic crystal fiber for 1.31-μm and 1.55-μm bands via adjusting the fiber length Chen Lei (陈雷), Zhang Wei-Gang (张伟刚), Wang Li (王丽), Bai Zhi-Yong (白志勇), Zhang Shan-Shan (张珊珊), Wang Biao (王标), Yan Tie-Yi (严铁毅), Jonathan Sieg. Chin. Phys. B, 2014, 23(10): 104220.
[4]	Generalization and propagation of spiraling Bessel beams with a helical axicon Sun Qiong-Ge(孙琼阁), Zhou Ke-Ya (周可雅), Fang Guang-Yu (方光宇), Liu Zheng-Jun(刘正君), and Liu Shu-Tian (刘树田) . Chin. Phys. B, 2012, 21(1): 014208.
[5]	Elliptical Gaussian solitons in synthetic nonlocal nonliear media Cheng Shuang (程爽), Wang Qi (王奇), Ge Li-Juan (葛丽娟), Shi Jie-Long (施解龙), Ding Hai-Xia (丁海霞), Shen Ming (申明). Chin. Phys. B, 2011, 20(5): 054206.
[6]	Theoretical investigation of band-gap and mode characteristics of anti-resonance guiding photonic crystal fibres Yuan Jin-Hui(苑金辉), Sang Xin-Zhu(桑新柱), Yu Chong-Xiu(余重秀), Xin Xiang-Jun(忻向军), Zhang Jin-Long(张锦龙), Zhou Gui-Yao(周桂耀), Li Shu-Guang(李曙光), and Hou Lan-Tian(侯蓝田). Chin. Phys. B, 2011, 20(2): 024213.
[7]	Hollow Gaussian beams in strongly nonlocal nonlinear media Yang Zhen-Jun(杨振军), Lu Da-Quan(陆大全), Hu Wei(胡巍), Zheng Yi-Zhou(郑一周), and Gao Xing-Hui(高星辉). Chin. Phys. B, 2010, 19(12): 124212.
[8]	High-performance evanescently-coupled uni-traveling-carrier photodiodes Zhang Yun-Xiao(张云霄), Liao Zai-Yi(廖栽宜), and Wang Wei(王圩). Chin. Phys. B, 2009, 18(6): 2393-2397.
[9]	Effect of interstitial air holes on Bragg gratings in photonic crystal fibre with a Ge-doped core Zhang Hui-Jia(张慧嘉), Li Shu-Guang(李曙光), and Hou Lan-Tian(侯蓝田). Chin. Phys. B, 2009, 18(2): 630-635.
[10]	Design of novel three port optical gates scheme for the integration of large optical cavity electroabsorption modulators and evanescently-coupled photodiodes Liao Zai-Yi(廖栽宜), Yang Hua(杨华), and Wang Wei(王圩) . Chin. Phys. B, 2008, 17(7): 2557-2561.
[11]	M² factor of four-petal Gaussian beam Zhou Guo-Quan(周国泉) and Fan Yan(樊艳). Chin. Phys. B, 2008, 17(10): 3708-3712.
[12]	Analytical structure of Hermite Gaussian beam in far field Zhou Guo-Quan(周国泉), Chen Liang(陈亮), and Chu Xiu-Xiang(储修祥). Chin. Phys. B, 2007, 16(9): 2709-2715.
[13]	Semi-vectorial analysis of a compact wavelength demultiplexer based on the tapered multimode interference coupler Xiao Jin-Biao(肖金标), Liu Xu(刘旭), Cai Chun(蔡纯), and Sun Xiao-Han(孙小菡). Chin. Phys. B, 2007, 16(7): 2015-2022.
[14]	Full-vectorial finite-difference beam propagation method based on the modified alternating direction implicit method Xiao Jin-Biao(肖金标) and Sun Xiao-Han(孙小菡). Chin. Phys. B, 2006, 15(8): 1824-1830.
[15]	Propagation properties of off-axis Hermite--cosh--Gaussian beam combinations through a first-order optical system Tang Qian-Jin(唐前进), Chen Da-Ming(陈大明), Yu Yong-Ai(于永爱), and Hu Qi-Quan(胡企铨). Chin. Phys. B, 2006, 15(11): 2609-2617.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

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

Cite this article:

Online attention