Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

Citation:

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
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • 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.
    • 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.
    [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]

  • [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]

  • [1] Wang Liang-Wei, Liu Fang-De, Li Yun-Da, Han Wei, Meng Zeng-Ming, Zhang Jing. Construction of two-dimensional arbitrary shape 87Rb atomic array based on spatial light modulator. Acta Physica Sinica, 2023, 72(6): 064201. doi: 10.7498/aps.72.20222096
    [2] Yu Huan-Huan, Zhang Chen-Shuang, Lin Dan-Ying, Yu Bin, Qu Jun-Le. Two-photon multifocal structured light microscopy based on high-speed phase-type spatial light modulator. Acta Physica Sinica, 2021, 70(9): 098701. doi: 10.7498/aps.70.20201797
    [3] Wei Xiang, Wu Zhi-Zheng, Cao Zhan, Wang Yuan-Yuan, Dziki Mbemba. Shaping self-accelerating Bessel-like optical beams along arbitrary trajectories by magnetic fluid deformable mirror. Acta Physica Sinica, 2019, 68(11): 114701. doi: 10.7498/aps.68.20190063
    [4] Tang Ming-Yu, Wu Meng-Ting, Zang Rui-Huan, Rong Teng-Da, Du Yan-Li, Ma Feng-Ying, Duan Zhi-Yong, Gong Qiao-Xia. Fresnel incoherent digital holography with large field-of-view. Acta Physica Sinica, 2019, 68(10): 104204. doi: 10.7498/aps.68.20182216
    [5] Qi Shu-Xia, Liu Sheng, Li Peng, Han Lei, Cheng Hua-Chao, Wu Dong-Jing, Zhao Jian-Lin. A method of efficiently generating arbitrary vector beams. Acta Physica Sinica, 2019, 68(2): 024201. doi: 10.7498/aps.68.20181816
    [6] Bai Yun-He, Zang Rui-Huan, Wang Pan, Rong Teng-Da, Ma Feng-Ying, Du Yan-Li, Duan Zhi-Yong, Gong Qiao-Xia. Single-shot incoherent digital holography based on spatial light modulator. Acta Physica Sinica, 2018, 67(6): 064202. doi: 10.7498/aps.67.20172127
    [7] Xie Wan-Cai, Huang Su-Juan, Shao Wei, Zhu Fu-Quan, Chen Mu-Sheng. Free-space optical communication based on hybrid optical mode array encoding. Acta Physica Sinica, 2017, 66(14): 144102. doi: 10.7498/aps.66.144102
    [8] Zhao Hao-Yu, Deng Hong-Chang, Yuan Li-Bo. Airy fiber: waveguides array coupling based light beam control method. Acta Physica Sinica, 2017, 66(7): 074211. doi: 10.7498/aps.66.074211
    [9] Yue Yang-Yang, Zhang Xing-Yu, Yang Bo, Lu Rong-Er, Hong Xu-Hao, Zhang Chao, Qin Yi-Qiang, Zhu Yong-Yuan. Theoretical investigation on a kind of time-dependent Bessel beam. Acta Physica Sinica, 2016, 65(14): 144201. doi: 10.7498/aps.65.144201
    [10] Xi Si-Xing, Wang Xiao-Lei, Huang Shuai, Chang Sheng-Jiang, Lin Lie. Generation of arbitrary vector beam based on optical holography. Acta Physica Sinica, 2015, 64(12): 124202. doi: 10.7498/aps.64.124202
    [11] Huang Su-Juan, Gu Ting-Ting, Miao Zhuang, He Chao, Wang Ting-Yun. Experimental study on multiple-ring vortex beams. Acta Physica Sinica, 2014, 63(24): 244103. doi: 10.7498/aps.63.244103
    [12] Zhou Qiao-Qiao, Xu Shu-Wu, Lu Jun-Fa, Zhou Qi, Ji Xian-Ming, Yin Jian-Ping. Generation of the controllable triple-well optical trap by liquid-crystal spatial light modulator. Acta Physica Sinica, 2013, 62(15): 153701. doi: 10.7498/aps.62.153701
    [13] Yue Yang-Yang, Xiao Han, Wang Zi-Xiao, Wu Min. Research on diffraction and self-acceleration of Airy beam. Acta Physica Sinica, 2013, 62(4): 044205. doi: 10.7498/aps.62.044205
    [14] Gu Song-Bo, Xu Shu-Wu, Lu Jun-Fa, Ji Xian-Ming, Yin Jian-Ping. Generation of the array of optical traps by liquid crystal spatial light modulator. Acta Physica Sinica, 2012, 61(15): 153701. doi: 10.7498/aps.61.153701
    [15] Xu Shu-Wu, Zhou Qiao-Qiao, Gu Song-Bo, Ji Xian-Ming, Yin Jian-Ping. Generation of the three-dimensional array of optical trap by spatial light modulator. Acta Physica Sinica, 2012, 61(22): 223702. doi: 10.7498/aps.61.223702
    [16] Xin Jing-Tao, Gao Chun-Qing, Li Chen, Wang Zheng. Propagation of helical beams through amplitude diffractive optical elements and the measurement of topological charge. Acta Physica Sinica, 2012, 61(17): 174202. doi: 10.7498/aps.61.174202
    [17] Qi Xiao-Qing, Gao Chun-Qing. Experimental study of detecting orbital angular momentumstates of spiral phase beams. Acta Physica Sinica, 2011, 60(1): 014208. doi: 10.7498/aps.60.014208
    [18] Wu Feng-Tie, Jiang Xin-Guang, Liu Bin, Qiu Zhen-Xing. Geometric optics analysis on self-reconstruction of the nondiffracting beam generated from an axicon. Acta Physica Sinica, 2009, 58(5): 3125-3129. doi: 10.7498/aps.58.3125
    [19] Lu Da-Quan, Hu Wei, Qian Lie-Jia, Fan Dian-Yuan. Propagation and spatiotemporal coupling of iso-diffraction ultra-short pulsed Hermite Gaussian beams in free space. Acta Physica Sinica, 2009, 58(3): 1655-1661. doi: 10.7498/aps.58.1655
    [20] Ge Ai-Ming, Sui Zhan, Xu Ke-Shu. Characteristics of phase-only modulation using a reflective liquid crystal on si licon device. Acta Physica Sinica, 2003, 52(10): 2481-2485. doi: 10.7498/aps.52.2481
Metrics
  • Abstract views:  6453
  • PDF Downloads:  697
  • Cited By: 0
Publishing process
  • Received Date:  04 September 2013
  • Accepted Date:  06 October 2013
  • Published Online:  05 February 2014

/

返回文章
返回