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Due to their future applications in optical communication, nonlocal dark solitons in bulk medium and surface bright solitons have received much attention recently. However, nonlocal surface dark solitons have not been investigated till now. In this paper, 1+1 dimensional nonlocal fundamental and second-order surface dark solitons have been found numerically at the interface between thermal nonlinear medium and linear medium. The relation between the wave shape of nonlocal surface dark soliton and propagation constant and nonlocality degree is investigated. Moreover, the stability of them is analyzed theoretically. The numerical simulation results show that 1+1 dimensional nonlocal fundamental surface dark Solitons are always stable in the domain of their existence, while second-order surface dark solitons are oscillatorily unstable and the width of unstable domain depends more greatly on propagation constant than nonlocality degree of nonlocal nonlinear medium. The figure showing the propagation, with the initial input of noise added, confirms the correctness of stability analysis results.
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Keywords:
- nonlocal /
- surface dark solitons /
- stability
[1] Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[2] Mamaev A V, Zozulya A A, 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 C, Assanto G 2005 Opt. Lett. 30 415
[5] Derrien F, Henninot F, Warenghem M, Abbate G 2000 J. Opt. A: Pure Appl. Opt. 2 332
[6] Litvak A G, Mironov V A, Fraiman G M, Yunakovskii A D 1975 Sov. J. Plasmas Phys. 1 31
[7] Krolikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, Rasmussen J J, Edmundson D 2004 J. Opt. B 6 S288
[8] Nikolov N I, Neshev D, Krolikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[9] Ouyang S, Guo Q 2009 Opt. Express 17 5170
[10] Armaroli A, Trillo S, Fratalocchi A 2009 Phys. Rev. A 80 053803
[11] Gao X H, Zhang C Y, Tang D, Zheng H, Lu D Q, Hu W 2013 Acta Phys. Sin. 62 044214 (in Chinese) [高星辉, 张承云, 唐冬, 郑晖, 陆大全, 胡巍 2013 62 044214]
[12] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[13] Zhou L H, Gao X H, Yang Z J, Lu D Q, Guo Q, Cao W W, Hu W 2011 Acta Phys. Sin. 60 044208 (in Chinese) [周罗红, 高星辉, 杨振军, 陆大全, 郭旗, 曹伟文, 胡巍 2011 60 044208]
[14] Stegeman G I, Seaton C T 1985 J. Appl. Phys. 58 R57
[15] Mihalache D, Bertolotti M, Sibilia C 1989 Prog. Opt. 27 229
[16] Alfassi B, Rotschild C, Manela O, Segev M, Christ-odoulides D N 2007 Phys. Rev. Lett. 98 213901
[17] Alfassi B, Rotschild C, Manela O, Segev M 2009 Phys. Rev. A 80 041808
[18] Ye F, Kartashov Y V, Torner L 2008 Phys. Rev. A 77 033829
[19] Kartashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
[20] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 16216
[21] Kartashov Y V, Ye F, Vysloukh V A, Torner L 2007 Opt. Lett. 32 2260
[22] Skinner S R, Andersen D R 1991 J. Opt. Soc. Am. B 8 759
[23] Chen Y J 1992 Phys. Rev. A 45 4974
[24] Yang Z J, Ma X K, Lu D Q, Zheng Y Z, Gao X H, Hu W 2011 Opt. Express 19 4890
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[1] Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[2] Mamaev A V, Zozulya A A, 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 C, Assanto G 2005 Opt. Lett. 30 415
[5] Derrien F, Henninot F, Warenghem M, Abbate G 2000 J. Opt. A: Pure Appl. Opt. 2 332
[6] Litvak A G, Mironov V A, Fraiman G M, Yunakovskii A D 1975 Sov. J. Plasmas Phys. 1 31
[7] Krolikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, Rasmussen J J, Edmundson D 2004 J. Opt. B 6 S288
[8] Nikolov N I, Neshev D, Krolikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[9] Ouyang S, Guo Q 2009 Opt. Express 17 5170
[10] Armaroli A, Trillo S, Fratalocchi A 2009 Phys. Rev. A 80 053803
[11] Gao X H, Zhang C Y, Tang D, Zheng H, Lu D Q, Hu W 2013 Acta Phys. Sin. 62 044214 (in Chinese) [高星辉, 张承云, 唐冬, 郑晖, 陆大全, 胡巍 2013 62 044214]
[12] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[13] Zhou L H, Gao X H, Yang Z J, Lu D Q, Guo Q, Cao W W, Hu W 2011 Acta Phys. Sin. 60 044208 (in Chinese) [周罗红, 高星辉, 杨振军, 陆大全, 郭旗, 曹伟文, 胡巍 2011 60 044208]
[14] Stegeman G I, Seaton C T 1985 J. Appl. Phys. 58 R57
[15] Mihalache D, Bertolotti M, Sibilia C 1989 Prog. Opt. 27 229
[16] Alfassi B, Rotschild C, Manela O, Segev M, Christ-odoulides D N 2007 Phys. Rev. Lett. 98 213901
[17] Alfassi B, Rotschild C, Manela O, Segev M 2009 Phys. Rev. A 80 041808
[18] Ye F, Kartashov Y V, Torner L 2008 Phys. Rev. A 77 033829
[19] Kartashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
[20] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 16216
[21] Kartashov Y V, Ye F, Vysloukh V A, Torner L 2007 Opt. Lett. 32 2260
[22] Skinner S R, Andersen D R 1991 J. Opt. Soc. Am. B 8 759
[23] Chen Y J 1992 Phys. Rev. A 45 4974
[24] Yang Z J, Ma X K, Lu D Q, Zheng Y Z, Gao X H, Hu W 2011 Opt. Express 19 4890
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