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In this paper, the research on the multipole surface soliton in nonlocal nonlinear medium is done. Theoretical study indicates that multipole surface soliton in nonlocal nonlinear medium can also be regarded as a half part of a bulk soliton with an antisymmetric amplitude distribution. Using this fact, we could obtain the analytical solution of multipole surface soliton easily. Secondly, comparing the numerical solution acquired by numerical computation with analytical solution, we find that analytical solution is in good agreement with numerical solution. Finally, a research is done on the stability of multipole surface soliton using our model. The result shows that the width of the instability domain of dipole surface soliton is smaller than that of quadrupole bulk soliton. In addition all higher-order multipole surface solitons are unstable.
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Keywords:
- nonlocal nonlinear /
- multipole surface soliton /
- stability
[1] Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[2] Peccianti M, Brzdkiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[3] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[4] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[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 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] Liang Y B, Zheng Y J, Yang P B, Cao L G, Lu D Q, Hu W, Guo Q 2008 Acta Phys. Sin. 57 5690 (in Chinese) [梁炎斌, 郑亚建, 杨平保, 曹龙贵, 陆大全, 胡巍, 郭旗 2008 物理学报 57 5690]
[9] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[10] Li S H, Yang Z J, Lu D Q, Hu W 2011 Acta Phys. Sin. 60 024214 (in Chinese) [李少华, 杨振军, 陆大全, 胡巍 2011 物理学报 60 024214]
[11] Rasmussen P D, Bang O, Królikowski W 2005 Phys. Rev. E 72 066611
[12] Gao X H, Yang Z J, Zhou L H, Zheng Y Z, Lu D Q, Hu W 2011 Acta Phys. Sin. 60 084213 (in Chinese) [高星辉, 杨振军, 周罗红, 郑一周, 陆大全, 胡巍 2011 物理学报 60 084213]
[13] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 9378
[14] Wu X F, Deng D M, Guo Q 2011 Chin. Phys. B 20 084201
[15] Deng D, Zhao X, Guo Q, Lan S 2007 J. Opt. Soc. Am. B 24 2537
[16] Deng D, Guo Q 2008 J. Opt. A: Pure Appl. Opt. 10 035101
[17] Cheng S, Wang Q, Ge L J, Shi J L, Ding H X, Shen M 2011 Chin. Phys. B 20 054206
[18] Kartashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
[19] Ye F, Kartashov Y V, Torner L 2008 Phys. Rev. A 77 033829
[20] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 16216
[21] Alfassi B, Rotschild C, Segev M 2009 Phys. Rev. A 80 041808
[22] Kartashov Y V, Vysloukh V A, Torner L 2008 Opt. Lett. 33 506
[23] Yang Zhenjun, Ma Xuekai, Lu Daquan, Zheng Yizhou, Gao Xinghui, Hu Wei 2011 Opt. Express 19 4890
[24] Dong L, Ye F 2010 Phys. Rev. A 81 013815
[25] Xu Z, Kartashov Y V, Torner L 2005 Opt. Lett. 30 3171
[26] Cao L G, Zhu Y Q, Lu D Q, Hu W,Guo Q 2008 Opt. Commun. 281 5004
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[1] Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[2] Peccianti M, Brzdkiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[3] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[4] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[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 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] Liang Y B, Zheng Y J, Yang P B, Cao L G, Lu D Q, Hu W, Guo Q 2008 Acta Phys. Sin. 57 5690 (in Chinese) [梁炎斌, 郑亚建, 杨平保, 曹龙贵, 陆大全, 胡巍, 郭旗 2008 物理学报 57 5690]
[9] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[10] Li S H, Yang Z J, Lu D Q, Hu W 2011 Acta Phys. Sin. 60 024214 (in Chinese) [李少华, 杨振军, 陆大全, 胡巍 2011 物理学报 60 024214]
[11] Rasmussen P D, Bang O, Królikowski W 2005 Phys. Rev. E 72 066611
[12] Gao X H, Yang Z J, Zhou L H, Zheng Y Z, Lu D Q, Hu W 2011 Acta Phys. Sin. 60 084213 (in Chinese) [高星辉, 杨振军, 周罗红, 郑一周, 陆大全, 胡巍 2011 物理学报 60 084213]
[13] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 9378
[14] Wu X F, Deng D M, Guo Q 2011 Chin. Phys. B 20 084201
[15] Deng D, Zhao X, Guo Q, Lan S 2007 J. Opt. Soc. Am. B 24 2537
[16] Deng D, Guo Q 2008 J. Opt. A: Pure Appl. Opt. 10 035101
[17] Cheng S, Wang Q, Ge L J, Shi J L, Ding H X, Shen M 2011 Chin. Phys. B 20 054206
[18] Kartashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
[19] Ye F, Kartashov Y V, Torner L 2008 Phys. Rev. A 77 033829
[20] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 16216
[21] Alfassi B, Rotschild C, Segev M 2009 Phys. Rev. A 80 041808
[22] Kartashov Y V, Vysloukh V A, Torner L 2008 Opt. Lett. 33 506
[23] Yang Zhenjun, Ma Xuekai, Lu Daquan, Zheng Yizhou, Gao Xinghui, Hu Wei 2011 Opt. Express 19 4890
[24] Dong L, Ye F 2010 Phys. Rev. A 81 013815
[25] Xu Z, Kartashov Y V, Torner L 2005 Opt. Lett. 30 3171
[26] Cao L G, Zhu Y Q, Lu D Q, Hu W,Guo Q 2008 Opt. Commun. 281 5004
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