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Variational analysis of dipole soliton in nonlocal nonlinear Kerr media

Yang Zhen-Jun Li Shao-Hua Lu Da-Quan Hu Wei

Variational analysis of dipole soliton in nonlocal nonlinear Kerr media

Yang Zhen-Jun, Li Shao-Hua, Lu Da-Quan, Hu Wei
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  • By applying the variational method, we studied a kind of dipole soliton in the nonlocal nonlinear Kerr media. The parameter coupling equations of the dipole soliton were obtained, and numerical simulations were carried out. The results show that the transverse intensity distribution of the dipole soliton is similar to Hermite-Gaussian shape under the condition that the dipole soliton has a high energy which approaches the case of strongly nonlocal nonlinearity. There is a platform between the two intensity peaks of the dipole soltion under the condition that the dipole soliton has a low energy which belongs to the case of weakly nonlocal nonlinearity.
    • Funds:
    [1]

    Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657

    [2]

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

    [3]

    Peccianti M, Brzdakiewicz K A, Assanto G 2002 Opt. Lett. 27 1460

    [4]

    Peccianti M, Conti C, Assanto G 2005 Opt. Lett. 30 415

    [5]

    Hu W, Zhang T, Guo Q, Li X, Lan S 2006 Appl. Phys. Lett. 89 07111

    [6]

    Rotschild C, Cohen O, Manela O, Segev M, Carmon T 2005 Phys. Rev. Lett. 95 213904

    [7]

    Rotschild C, Segev M, Xu Z, Kartashov Y V, Torner L, Cohen O 2006 Opt. Lett. 31 3312

    [8]

    Skupin S, Saffman M, Krolikowski W 2007 Phys. Rev. Lett. 98 263902

    [9]

    Pedri P, Santos L 2005 Phys. Rev. Lett. 95 200404

    [10]

    Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612

    [11]

    Krolikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, Rasmussen J J, Edmundson D 2004 J. Opt. B 6 S288

    [12]

    Snyder A W, Mitchell D J 1997 Science 276 1538

    [13]

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

    [14]

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

    [15]

    Rasmussen P D, Bang O, Krolikowski W 2005 Phys. Rev. E 72 066611

    [16]

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

    [17]

    Dai J H, Guo Q 2009 Acta Phys. Sin. 58 1752 (in Chinese) [戴继慧、郭 旗 2009 物理学报 58 1752]

    [18]

    Lu D, Hu W 2009 Phys. Rev. A 79 043833

    [19]

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

    [20]

    Xu Z Y, Kartashov Y V, Torner L 2005 Opt. Lett. 30 3171

    [21]

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

    [22]

    Deng D M, Guo Q 2008 J. Opt. A 10 035101

    [23]

    Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍、郭 旗 2005 物理学报 54 3187]

    [24]

    Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 5189 (in Chinese) [张霞萍、郭 旗 2005 物理学报 54 5189]

    [25]

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

    [26]

    Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902

    [27]

    Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901

    [28]

    Zhu Y Q, Long X W, Hu W, Cao L G, Yang P B, Guo Q 2008 Acta Phys. Sin. 57 2262 (in Chinese) [朱叶青、龙学文、胡 巍、曹龙贵、杨平保、郭 旗 2008 物理学报 57 2262]

    [29]

    Yang P B, Cao L G, Hu W, Zhu Y Q, Guo Q, Yang X B 2008 Acta Phys. Sin. 57 285 (in Chinese) [杨平保、曹龙贵、胡 巍、朱叶青、郭 旗、杨湘波 2008 物理学报 57 285]

    [30]

    Hutsebaut X, Cambournac C, Haelterman M, Adamski A, Neyts K 2004 Opt. Commun. 233 211

    [31]

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

    [32]

    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]

    [33]

    Anderson D 1983 Phys. Rev. A 27 3135

    [34]

    Shen M, Xi N, Kong Q, Ge L J, Shi J L, Wang Q 2009 Chin. Phys. B 18 2822

    [35]

    Dai J H, Guo Q 2008 Acta Phys. Sin. 57 5001 (in Chinese) [戴继慧、郭 旗 2008 物理学报 57 5001]

    [36]

    Bai D F, Guo Q, Hu W 2008 Acta Phys. Sin. 57 5684 (in Chinese) [白东峰、郭 旗、胡 巍 2008 物理学报 57 5684]

    [37]

    Bai D F, Huang C C, He J F, Wang Y 2009 Chin. Phys. B 18 2853

    [38]

    Guo Q, Luo B, Chi S 2006 Opt. Commun. 259 336

    [39]

    Huang Y, Guo Q, Cao J 2006 Opt. Commun. 261 175

    [40]

    Cao L, Zhu Y, Lu D, Hu W, Guo Q 2008 Opt. Commun. 281 5004

    [41]

    Ge L, Wang Q, Shen M, Shi J, Kong Q, Hou P 2009 J. Opt. A 11 065207

  • [1]

    Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657

    [2]

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

    [3]

    Peccianti M, Brzdakiewicz K A, Assanto G 2002 Opt. Lett. 27 1460

    [4]

    Peccianti M, Conti C, Assanto G 2005 Opt. Lett. 30 415

    [5]

    Hu W, Zhang T, Guo Q, Li X, Lan S 2006 Appl. Phys. Lett. 89 07111

    [6]

    Rotschild C, Cohen O, Manela O, Segev M, Carmon T 2005 Phys. Rev. Lett. 95 213904

    [7]

    Rotschild C, Segev M, Xu Z, Kartashov Y V, Torner L, Cohen O 2006 Opt. Lett. 31 3312

    [8]

    Skupin S, Saffman M, Krolikowski W 2007 Phys. Rev. Lett. 98 263902

    [9]

    Pedri P, Santos L 2005 Phys. Rev. Lett. 95 200404

    [10]

    Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612

    [11]

    Krolikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, Rasmussen J J, Edmundson D 2004 J. Opt. B 6 S288

    [12]

    Snyder A W, Mitchell D J 1997 Science 276 1538

    [13]

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

    [14]

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

    [15]

    Rasmussen P D, Bang O, Krolikowski W 2005 Phys. Rev. E 72 066611

    [16]

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

    [17]

    Dai J H, Guo Q 2009 Acta Phys. Sin. 58 1752 (in Chinese) [戴继慧、郭 旗 2009 物理学报 58 1752]

    [18]

    Lu D, Hu W 2009 Phys. Rev. A 79 043833

    [19]

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

    [20]

    Xu Z Y, Kartashov Y V, Torner L 2005 Opt. Lett. 30 3171

    [21]

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

    [22]

    Deng D M, Guo Q 2008 J. Opt. A 10 035101

    [23]

    Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍、郭 旗 2005 物理学报 54 3187]

    [24]

    Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 5189 (in Chinese) [张霞萍、郭 旗 2005 物理学报 54 5189]

    [25]

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

    [26]

    Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902

    [27]

    Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901

    [28]

    Zhu Y Q, Long X W, Hu W, Cao L G, Yang P B, Guo Q 2008 Acta Phys. Sin. 57 2262 (in Chinese) [朱叶青、龙学文、胡 巍、曹龙贵、杨平保、郭 旗 2008 物理学报 57 2262]

    [29]

    Yang P B, Cao L G, Hu W, Zhu Y Q, Guo Q, Yang X B 2008 Acta Phys. Sin. 57 285 (in Chinese) [杨平保、曹龙贵、胡 巍、朱叶青、郭 旗、杨湘波 2008 物理学报 57 285]

    [30]

    Hutsebaut X, Cambournac C, Haelterman M, Adamski A, Neyts K 2004 Opt. Commun. 233 211

    [31]

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

    [32]

    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]

    [33]

    Anderson D 1983 Phys. Rev. A 27 3135

    [34]

    Shen M, Xi N, Kong Q, Ge L J, Shi J L, Wang Q 2009 Chin. Phys. B 18 2822

    [35]

    Dai J H, Guo Q 2008 Acta Phys. Sin. 57 5001 (in Chinese) [戴继慧、郭 旗 2008 物理学报 57 5001]

    [36]

    Bai D F, Guo Q, Hu W 2008 Acta Phys. Sin. 57 5684 (in Chinese) [白东峰、郭 旗、胡 巍 2008 物理学报 57 5684]

    [37]

    Bai D F, Huang C C, He J F, Wang Y 2009 Chin. Phys. B 18 2853

    [38]

    Guo Q, Luo B, Chi S 2006 Opt. Commun. 259 336

    [39]

    Huang Y, Guo Q, Cao J 2006 Opt. Commun. 261 175

    [40]

    Cao L, Zhu Y, Lu D, Hu W, Guo Q 2008 Opt. Commun. 281 5004

    [41]

    Ge L, Wang Q, Shen M, Shi J, Kong Q, Hou P 2009 J. Opt. A 11 065207

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  • Received Date:  16 October 2009
  • Accepted Date:  10 November 2009
  • Published Online:  15 July 2010

Variational analysis of dipole soliton in nonlocal nonlinear Kerr media

  • 1. Key Laboratory of Photonic Information Technology of Guangdong Province, South China Normal University, Guangzhou 510631, China

Abstract: By applying the variational method, we studied a kind of dipole soliton in the nonlocal nonlinear Kerr media. The parameter coupling equations of the dipole soliton were obtained, and numerical simulations were carried out. The results show that the transverse intensity distribution of the dipole soliton is similar to Hermite-Gaussian shape under the condition that the dipole soliton has a high energy which approaches the case of strongly nonlocal nonlinearity. There is a platform between the two intensity peaks of the dipole soltion under the condition that the dipole soliton has a low energy which belongs to the case of weakly nonlocal nonlinearity.

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