非局域非线性克尔介质中两极孤子的变分解

杨振军; 李少华; 陆大全; 胡巍

doi:10.7498/aps.59.4707

摘要

利用变分法对一种假设的两极孤子进行了研究,得到了该两极孤子的参数耦合方程,并对由参数耦合方程得到的结果进行了数值模拟.结果表明,在光束能量较高,趋近于强非局域的情况下,两极孤子横向强度呈一阶厄米-高斯型分布;光束能量较低的弱非局域情况下,两极孤子的两个强度峰之间有一个平台出现.此两极孤子模型还可退化为高斯光束,得到高斯孤子解.

关键词:

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.

Keywords:

作者及机构信息

1.
华南师范大学光子信息技术广东省高校重点实验室,广州 510631

基金项目: 国家自然科学基金(批准号: 10674050,10804033)、广东省高等学校科技创新团队计划(批准号:06CXTD005)、教育部高等学校博士学科点专项科研基金(批准号:200805740002)和河北省自然科学基金(批准号:F2009000321)资助的课题.

Authors and contacts

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

参考文献

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

施引文献

[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 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 54 3187]
[24]	Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 5189 (in Chinese) [张霞萍、郭旗 2005 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 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 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 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 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 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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