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饱和非线性介质中艾里-高斯光束的传输与交互作用

陈卫军 卢克清 惠娟利 张宝菊

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饱和非线性介质中艾里-高斯光束的传输与交互作用

陈卫军, 卢克清, 惠娟利, 张宝菊

Propagation and interactions of Airy-Gaussian beams in saturable nonliear medium

Chen Wei-Jun, Lu Ke-Qing, Hui Juan-Li, Zhang Bao-Ju
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  • 研究了艾里-高斯光束在饱和非线性介质中的传输与交互作用.结果表明,入射光为单艾里-高斯光束时,在一定功率范围内,调节初始振幅与光场分布,可形成传输方向可控的呼吸孤子.当初始振幅增加时,孤子的呼吸周期先减小后增大.入射光为两艾里-高斯光束时,同相位光束相互吸引,两光束中心位置两侧附近产生呼吸孤子和对称孤子对.反相位光束相互排斥,中心位置两侧仅产生对称的孤子对.光场分布越趋于高斯分布,两艾里-高斯光束相互作用就越强,孤子对的数目越少.
    The propagation and interactions of Airy-Gaussian beams in a saturable nonlinear medium are investigated numerically based on the split-step Fourier transform method. We show that the propagation of a single Airy-Gaussian beam in the saturable nonlinear medium can generate breathing solitons under steady state conditions. The generation and propagation of these breathing solitons can be affected by the initial amplitude and the field distribution factor of the single Airy-Gaussian beam. In a certain power range, these breathing solitons propagate along the acceleration direction with a controllable tilted angle. In the domain existing in these breathing solitons and for a given value of the field distribution factor of the single Airy-Gaussian beam, when the initial amplitude of the single Airy-Gaussian beam increases gradually, the periodicity of these breathing solitons becomes from small to larger and the tilted angle of these breathing solitons increases monotonically. When the value of the initial amplitude of the single Airy-Gaussian beam is given, the bigger the value of the field distribution factor of the single Airy-Gaussian beam, the smaller the tilted angle of these breathing solitons. Furthermore, the stability of these breathing solitons has been investigated by using the beam propagation method, and it has been found that they are stable. We find that the propagations of two Airy-Gaussian beams in the saturable nonlinear medium can generate not only soliton pairs but also interactions between two Airy-Gaussian beams. When the two Airy-Gaussian beams interact with each other, it is found that the in-phase Airy-Gaussian beams attract each other and exhibit a single breathing soliton with strong intensity in the beam center and some symmetric soliton pairs with weak intensity near both sides of the beam center. The smaller the interval between the two incident Airy-Gaussian optical components, the stronger the attraction between two Airy-Gaussian beams, and the less the numbers of the soliton pairs. The energies of both the main lobes of two Airy-Gaussian beams and the single breathing soliton increase with the value of the field distribution factor of two Airy-Gaussian beams. On the other hand, the out-of-phase Airy-Gaussian beams repel each other and exhibit only symmetric soliton pairs on both sides of the beam center. Our analysis indicates that the repellant of two out-of-phase Airy-Gaussian beams becomes big when the interval between two incident Airy-Gaussian optical components decreases and the number of the soliton pairs becomes less when the field distributions of two beams are close to the Gaussian distribution.
      通信作者: 卢克清, kqlutj@126.com
    • 基金项目: 天津市自然科学基金(批准号:13JCYBJC16400)资助的课题.
      Corresponding author: Lu Ke-Qing, kqlutj@126.com
    • Funds: Project supported by the Natural Science Foundation of Tianjin City, China (Grant No. 13JCYBJC16400).
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    Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979

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    Zhang Y, Belić M, Wu Z, Zheng H, Lu K, Li Y, Zhang Y 2013 Opt. Lett. 38 4585

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    Hu Y, Zhang P, Lou C, Huang S, Xu J, Chen Z G 2010 Opt. Lett. 35 2260

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    Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photon. 2 675

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    Cheng H, Zang W, Zhou W, Tian J 2010 Opt. Express 18 20384

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    Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229

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    [21]

    Abdollahpour D, Suntsov S, Papazoglou D G, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901

    [22]

    Rose P, Diebel F, Boguslawski M, Denz C 2013 Appl. Phys. Lett. 102 101101

    [23]

    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 Jai, 胡洋, 姜东升, Christodoulides Demetrios N, 陈志刚2013物理学报 62 034209]

    [24]

    Li J, Zang W, Tian J 2010 Opt. Lett. 35 3258

    [25]

    Li J, Fan X, Zang W, Tian J 2011 Opt. Lett. 36 648

    [26]

    Clerici M, Hu Y, Lassonde P, Millián C, Couairon A, Christodoulides D N, Chen Z, Razzari L, Vidal F, Légaré F, Faccio D, Morandotti R 2015 Sci. Adv. 1 e1400111

    [27]

    Chen R, Yin C, Chu X, Wang H 2010 Phys. Rev. A 82 043832

    [28]

    Chen C, Chen B, Peng X, Deng D 2015 J. Opt. 17 035504

    [29]

    Deng D 2011 Eur. Phys. J. D 65 553

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    Zhang X 2016 Opt. Commun. 367 364

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    Zhou M, Chen C, Chen B, Peng X, Peng Y, Deng D 2015 Chin. Phys. B 24 124102

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    Zhou M, Peng Y, Chen C, Chen B, Peng X, Deng D 2016 Chin. Phys. B 25 084102

    [33]

    Litchinitser N M, Królikowski W, Akhmediev N N, Agrawal G P 1999 Phys. Rev. E 60 2377

  • [1]

    Kovalev A A, Kotlyar V V, Porfirev A A 2015 Phys. Rev. A 91 053840

    [2]

    Zhang P, Hu Y, Li T, Cannan D, Yin X, Morandotti R, Chen Z, Zhang X 2012 Phys. Rev. Lett. 109 193901

    [3]

    Chen Z, Segev M, Christodoulides D N 2012 Rep. Prog. Phys. 75 086401

    [4]

    Chen W, Lu K, Hui J, Feng T, Liu S, Niu P, Yu L 2013 Opt. Express 21 15595

    [5]

    Kaminer I, Bekenstein R, Nemirovsky J, Segev M 2012 Phys. Rev. Lett. 108 163901

    [6]

    Kaminer I, Segev M, Christodoulides D N 2011 Phys. Rev. Lett. 106 213903

    [7]

    Panagiotopoulos P, Abdollahpour D, Lotti A, Couairon A, Faccio D, Papazoglou D G, Tzortzakis S 2012 Phys. Rev. A 86 013842

    [8]

    Shen M, Gao J, Ge L 2015 Sci. Rep. 5 09814

    [9]

    Berry M V, Balazs N L 1979 Am. J. Phys. 47 264

    [10]

    Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901

    [11]

    Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979

    [12]

    Yue Y Y, Xiao H, Wang Z X, Wu M 2013 Acta Phys. Sin. 62 044205 (in Chinese)[岳阳阳, 肖寒, 王子潇, 吴敏2013物理学报 62 044205]

    [13]

    Bandres M A, Gutiérrez-Vega J C 2007 Opt. Express 15 16719

    [14]

    Zhang Y, Belić M, Wu Z, Zheng H, Lu K, Li Y, Zhang Y 2013 Opt. Lett. 38 4585

    [15]

    Hu Y, Zhang P, Lou C, Huang S, Xu J, Chen Z G 2010 Opt. Lett. 35 2260

    [16]

    Chu X, Zhou G, Chen R 2012 Phys. Rev. A 85 013815

    [17]

    Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photon. 2 675

    [18]

    Cheng H, Zang W, Zhou W, Tian J 2010 Opt. Express 18 20384

    [19]

    Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229

    [20]

    Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 (in Chinese)[任志君, 吴琼, 周卫东, 吴根柱, 施逸乐2012物理学报 61 174207]

    [21]

    Abdollahpour D, Suntsov S, Papazoglou D G, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901

    [22]

    Rose P, Diebel F, Boguslawski M, Denz C 2013 Appl. Phys. Lett. 102 101101

    [23]

    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 Jai, 胡洋, 姜东升, Christodoulides Demetrios N, 陈志刚2013物理学报 62 034209]

    [24]

    Li J, Zang W, Tian J 2010 Opt. Lett. 35 3258

    [25]

    Li J, Fan X, Zang W, Tian J 2011 Opt. Lett. 36 648

    [26]

    Clerici M, Hu Y, Lassonde P, Millián C, Couairon A, Christodoulides D N, Chen Z, Razzari L, Vidal F, Légaré F, Faccio D, Morandotti R 2015 Sci. Adv. 1 e1400111

    [27]

    Chen R, Yin C, Chu X, Wang H 2010 Phys. Rev. A 82 043832

    [28]

    Chen C, Chen B, Peng X, Deng D 2015 J. Opt. 17 035504

    [29]

    Deng D 2011 Eur. Phys. J. D 65 553

    [30]

    Zhang X 2016 Opt. Commun. 367 364

    [31]

    Zhou M, Chen C, Chen B, Peng X, Peng Y, Deng D 2015 Chin. Phys. B 24 124102

    [32]

    Zhou M, Peng Y, Chen C, Chen B, Peng X, Deng D 2016 Chin. Phys. B 25 084102

    [33]

    Litchinitser N M, Królikowski W, Akhmediev N N, Agrawal G P 1999 Phys. Rev. E 60 2377

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出版历程
  • 收稿日期:  2016-06-08
  • 修回日期:  2016-08-03
  • 刊出日期:  2016-12-05

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