Theoretical and experimental study on self-accelerating Bessel-like Hermite-Gaussian beams

Zhao Juan-Ying; Deng Dong-Mei; Zhang Ze; Liu Jing-Jiao; Jiang Dong-Sheng

doi:10.7498/aps.63.044204

Abstract

Phase modulation is an important method of designing accelerating optical beams. In this paper, we present new self-accelerating non-diffracting Bessel-like Hermite-Gaussian beams based on our previous research on Bessel-like beams. The evolutions of the beams along different trajectories are studied numerically and experimentally. These beams are designed by modulating the phase of the initial Hermite-Gaussian beams. With the split-step beam propagation method, we show numerically that (0,1), (1,0), (1,1) and (1,2) modes of the Bessel-like Hermite-Gaussian beams can propagate along different predesigned trajectories. With the computer-generated hologram and spatial light modulator, we observe the propagating behaviors of the Bessel-like Hermite-Gaussian beams along different trajectories, including parabolic, hyperbolic, hyperbolic secant and 3D trajectories. Experimental results show good agreement with the theoretical prediction. It is also demonstrated that the peculiar profile of Bessel-like Hermite-Gaussian beams exhibits nondiffracting and self-healing properties propagating along the tunable trajectories. These beams generalize the concept of Bessel-like beams, suggesting that more exotic optical beams can be obtained.

Keywords:

Authors and contacts

1.
School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, China;
2.
Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China;
3.
Academy of Opto-Electronics, Chinese Academy of Sciences, Beijing 100190, China
Funds: Project supported by the National Basic Research Program of China (Grant No. 2013CB632703), the National Natural Science Foundation of China (Grant Nos. 11374108, 10904041), the Foundation for the Authors of Excellent Doctoral Dissertation of Guangdong Province, China (Grant No. SYBZZXM201227), and the Postgraduate Scholarship Program of China.

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Cited By

[1]	Berry M V, Balazs N L 1979 Am. J. Phys. 47 264
[2]	Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[3]	Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[4]	Hu Y, Siviloglo G A, Zhang P, Efremidis N K, Christodoulides D N, Chen Z G 2012 Nonlinear Photonics and Novel Optical Phenomena (1st Ed.) (New York: Springer) p1
[5]	Kaminer I, Bekenstein R, Nemirovsky J, Segev M 2012 Phys. Rev. Lett. 108 163901
[6]	Zhang P, Hu Y, Li T C, Cannan D, Yin X B, Morandotti R, Chen Z G, Zhang X 2012 Phys. Rev. Lett. 109 193901
[7]	Aleahmad P, Miri M A, Mills M S, Kaminer I, Segev M, Christodoulides D N 2012 Phys. Rev. Lett. 109 203902
[8]	Bandres M A 2008 Opt. Lett. 33 1678
[9]	Rosen J, Yariv A 1995 Opt. Lett. 20 2042
[10]	Sun Q G, Zhou K Y, Fang G Y, Liu Z J, Liu S T 2012 Chin. Phys. B 21 014208
[11]	Hu Y, Bongiovanni D, Chen Z G, Morandotti R 2013 Opt. Lett. 38 3387
[12]	Efremidis N K, Christodoulides D N 2010 Opt. Lett. 35 4045
[13]	Zhang Z, Liu J J, Zhang P, Ni P G, Prakash J, Hu Y, Jiang D S, Christodoulides D N, Chen Z G 2013 Acta Phys. Sin. 62 034209 (in Chinese) [张泽, 刘京郊, 张鹏, 倪培根, Prakash J, 胡毅, 姜东升, Christodoulides D N, 陈志刚 2013 物理学报 62 034209]
[14]	Hwang C, Kim K, Lee B 2011 Opt. Express 19 7356
[15]	Guo C S, Wang S Z, Rong Z Y, Sha B 2013 Acta Phys. Sin. 62 084201 (in Chinese) [国承山, 王淑贞, 荣振宇, 沙贝 2013 物理学报 62 084201]
[16]	Won R, Dholakia K 2008 Nature Photon. 2 702
[17]	Zhang P, Prakash J, Zhang Z, Kajorndej V, Efremidis N K, Christodoulides D N, Chen Z G 2011 Opt. Lett. 36 2883
[18]	Baumgartl J, Mazilu M, Dholakia K 2008 Nature Photon. 2 675
[19]	Baumgartl J, Hannappel G M, Stevenson D J, Day D, Gu M, Dholakia K 2009 Lab. Chip. 9 1334
[20]	Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229
[21]	Chremmos I D, Chen Z G, Christodoulides D N, Efremidis N K 2012 Opt. Lett. 37 5003
[22]	Zhao J Y, Zhang P, Deng D M, Liu J J, Gao Y M, Chremmos I D, Efremidis N K, Christodoulides D N, Chen Z G 2013 Opt. Lett. 38 498
[23]	Agrawal G P 2001 Nonlinear Fiber Optics (3rd Ed.) (San Diego: Academic Press) p51
[24]	Hu Y, Zhang P, Lou C B, Huang S, Xu J J, Chen Z G 2010 Opt. Lett. 35 2260
[25]	Beijersbergen M W, Allen L, van der Veen H E L O, Woerdman J P 1993 Opt. Commun. 96 123
[26]	Tidwell S C, Ford D H, Kimura W D 1990 Appl. Opt. 29 2234
[27]	Passilly N, de Saint Denis R, Aït-Ameur K, Treussart F, Hierle R, Roch J F 2005 J. Opt. Soc. Am. A 22 984
[28]	Xin J T, Gao C Q, Li C 2012 Sci. Sin. Phys. Mech. Astron. doi: 10.1360/132012-417 (in Chinese) [辛璟焘, 高春清, 李辰 2012中国科学: 物理学力学天文学 doi: 10.1360/132012-417]

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Vol. 63, Issue 4 - 2014-02-20

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