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Influence of the longitudinal shift of the entrance plane on the propagation properties of beams in strongly nonlocal nonlinear medium

Lu Da-Quan Duan Qiu-Ling Zhan Qiang

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Influence of the longitudinal shift of the entrance plane on the propagation properties of beams in strongly nonlocal nonlinear medium

Lu Da-Quan, Duan Qiu-Ling, Zhan Qiang
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  • Based on the approach of mode decomposition, the influence of the longitudinal shift of the entrance plane on the propagation properties of beams in strongly nonlocal nonlinear medium is analyzed. The shift of the entrance plane changes the order and the longitudinal position of beam patterns in a period, the size of patterns, and the radius of the cophasal surface. These properties can be described with a simple mathematical equation, therefore the beam solution after the entrance plane is shifted can be easily obtained from that before the entrance plane is shifted.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10804033, 11174090, 1174091) and the Specialized Research Foundation for the Doctoral Program of Higher Education of China (Grant No. 200805740002).
    [1]

    Snyder A W, Mitchell D J 1997 Science 276 1538

    [2]

    Lu D Q, Hu W, Zheng Y J, Liang Y B, Cao L G, Lan S, Guo Q 2008 Phys. Rev. A 78 043815

    [3]

    Yakimenko A I, Lashkin V M, Prikhodko O O 2006 Phys. Rev. E 73 066605

    [4]

    Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2008 Opt. Lett. 33 198

    [5]

    Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2007 Phys. Rev. Lett. 98 053901

    [6]

    Zhong W P, Lin Y 2007 Phys. Rev. A 75 061801

    [7]

    Peccianti M, Conti C, Assanto G, Luca A D, Umeton C 2002 Appl. Phys. Lett. 81 3335

    [8]

    Lopez-Aguayo S, Desyatnikov A S, Kivshar Y S 2006 Opt. Express 14 7903

    [9]

    Królikowski W, Bang O 2000 Phys. Rev. E 63 016610

    [10]

    Deng D M, Guo Q 2007 Opt. Lett. 32 3206

    [11]

    Mamaev A V, Zozulya A A, Mezentsev V K, Anderson D Z, Saffman M 1997 Phys. Rev. A 56 R1110

    [12]

    Nikolov N I, Neshev D, Królikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286

    [13]

    Lopez-Aguayo S, Gutiérrez-Vega J C 2007 Opt. Express 15 18326

    [14]

    Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832

    [15]

    Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602

    [16]

    Guo Q, Zhang X P, Hu W, Shou Q 2006 Acta Phys. Sin. 55 1832 (in Chinese) [ 郭旗, 张霞萍, 胡巍, 寿倩 2006 物理学报 55 1832]

    [17]

    Bai Z Y, Deng D M, Guo Q 2012 Chin. Phys. B 21 64218

    [18]

    Lu D Q, Hu W, Guo Q 2009 Europhys. Lett. 86 44004

  • [1]

    Snyder A W, Mitchell D J 1997 Science 276 1538

    [2]

    Lu D Q, Hu W, Zheng Y J, Liang Y B, Cao L G, Lan S, Guo Q 2008 Phys. Rev. A 78 043815

    [3]

    Yakimenko A I, Lashkin V M, Prikhodko O O 2006 Phys. Rev. E 73 066605

    [4]

    Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2008 Opt. Lett. 33 198

    [5]

    Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2007 Phys. Rev. Lett. 98 053901

    [6]

    Zhong W P, Lin Y 2007 Phys. Rev. A 75 061801

    [7]

    Peccianti M, Conti C, Assanto G, Luca A D, Umeton C 2002 Appl. Phys. Lett. 81 3335

    [8]

    Lopez-Aguayo S, Desyatnikov A S, Kivshar Y S 2006 Opt. Express 14 7903

    [9]

    Królikowski W, Bang O 2000 Phys. Rev. E 63 016610

    [10]

    Deng D M, Guo Q 2007 Opt. Lett. 32 3206

    [11]

    Mamaev A V, Zozulya A A, Mezentsev V K, Anderson D Z, Saffman M 1997 Phys. Rev. A 56 R1110

    [12]

    Nikolov N I, Neshev D, Królikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286

    [13]

    Lopez-Aguayo S, Gutiérrez-Vega J C 2007 Opt. Express 15 18326

    [14]

    Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832

    [15]

    Guo Q, Luo B, Yi F, Chi S, Xie Y 2004 Phys. Rev. E 69 016602

    [16]

    Guo Q, Zhang X P, Hu W, Shou Q 2006 Acta Phys. Sin. 55 1832 (in Chinese) [ 郭旗, 张霞萍, 胡巍, 寿倩 2006 物理学报 55 1832]

    [17]

    Bai Z Y, Deng D M, Guo Q 2012 Chin. Phys. B 21 64218

    [18]

    Lu D Q, Hu W, Guo Q 2009 Europhys. Lett. 86 44004

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Publishing process
  • Received Date:  25 December 2012
  • Accepted Date:  07 March 2013
  • Published Online:  05 June 2013

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