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In this paper, we investigate spatial dark solitons in nonlocal nonlinear media. Based on the nonlocal nonlinear Schrödinger equation and the diffusion equation, the numerical solutions with different propagation constants are obtained by using the Newton iterative method. And it is found that there exist dark soliton solutions .and the relation between the width of dark soliton and the degree of nonlocality for any propagation constant under arbitrary nonlocal degrees different propagation constants. In experiments, we observe the formation of the spatial dark solitons in the solution of dye. The influence of Gaussian background on dark solitons is also discussed, and the numerical results are in agreement with the experimental results.
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Keywords:
- nonlocal nonlinearity /
- spatial dark solitons
[1] Snyder A W, Mitchell D J 1997 Science 276 1538
[2] Peccianti M, Brzdakiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[3] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[4] Fratalocchi A, Assanto G 2005 Appl. Phys. Lett. 86 051109
[5] Serak S V, Tabiryan N V, Peccianti M, Assanto G 2006 IEEE Photon. Techn. Lett. 18 1094
[6] Piccardi A, Alberucci A, Bortolozzo U, Residori S, Assanto G 2010 Appl. Phys. Lett. 96 071104
[7] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[8] Rotschild C, Segev M, Xu Z Y, Kartashov Y, Torner L, Cohen O 2006 Opt. Lett. 31 3312
[9] Rotschild C, Alfassi B, Cohen O, Segev M 2006 Nature Physics 2 769
[10] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[11] Guo Q, Luo B, Yi F, Chi S, Xie Y Q 2004 Phys. Rev. E 69 016602
[12] Ouyang S G, Guo Q 2007 Phys. Rev. A 76 053833
[13] Long X W, Hu W, Zhang T, Guo Qi, Lan S, Gao X C 2007 Acta. Phys. Sin. 56 1397 (in Chinese) [龙学文、胡 巍、张 涛、郭 旗、兰 胜、高喜存 2007 物理学报 56 1397]
[14] 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]
[15] Zheng R, Gao X H, Cao W W, Chen L X, Lu D Q, Guo Q, Wu L J, Hu W 2010 Acta. Phys. Sin. 59 1063 (in Chinese) [郑 睿、高星辉、曹伟文、陈利霞、陆大全、郭 旗、吴立军、胡 巍 2010 物理学报 59 1063]
[16] Hu W, Zhang T, Guo Q, Xuan L, Lan S 2006 Appl. Phys. Lett. 89 071111
[17] 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]
[18] Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832
[19] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
[20] Zheng Y J, Xuan W T, Lu D Q, Ouyang S G, Hu W, Guo Q 2010 Acta. Phys. Sin. 59 1075 (in Chinese) [郑亚建、宣文涛、陆大全、欧阳世根、胡 巍、郭 旗 2010 物理学报 59 1075]
[21] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 25
[22] Krolikowski W, Bang O 2000 Phys. Rev. E 63 016610
[23] Nikolov N I, Neshev D, Krolikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[24] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[25] Conti C, Fratalocchi A, Peccianti M, Ruocco G, Trillo S 2009 Phys. Rev. Lett. 102 083902
[26] Ouyang S G, Guo Q 2009 Opt. Express 17 5170
[27] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612
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[1] Snyder A W, Mitchell D J 1997 Science 276 1538
[2] Peccianti M, Brzdakiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[3] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[4] Fratalocchi A, Assanto G 2005 Appl. Phys. Lett. 86 051109
[5] Serak S V, Tabiryan N V, Peccianti M, Assanto G 2006 IEEE Photon. Techn. Lett. 18 1094
[6] Piccardi A, Alberucci A, Bortolozzo U, Residori S, Assanto G 2010 Appl. Phys. Lett. 96 071104
[7] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[8] Rotschild C, Segev M, Xu Z Y, Kartashov Y, Torner L, Cohen O 2006 Opt. Lett. 31 3312
[9] Rotschild C, Alfassi B, Cohen O, Segev M 2006 Nature Physics 2 769
[10] Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[11] Guo Q, Luo B, Yi F, Chi S, Xie Y Q 2004 Phys. Rev. E 69 016602
[12] Ouyang S G, Guo Q 2007 Phys. Rev. A 76 053833
[13] Long X W, Hu W, Zhang T, Guo Qi, Lan S, Gao X C 2007 Acta. Phys. Sin. 56 1397 (in Chinese) [龙学文、胡 巍、张 涛、郭 旗、兰 胜、高喜存 2007 物理学报 56 1397]
[14] 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]
[15] Zheng R, Gao X H, Cao W W, Chen L X, Lu D Q, Guo Q, Wu L J, Hu W 2010 Acta. Phys. Sin. 59 1063 (in Chinese) [郑 睿、高星辉、曹伟文、陈利霞、陆大全、郭 旗、吴立军、胡 巍 2010 物理学报 59 1063]
[16] Hu W, Zhang T, Guo Q, Xuan L, Lan S 2006 Appl. Phys. Lett. 89 071111
[17] 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]
[18] Ouyang S G, Hu W, Guo Q 2007 Phys. Rev. A 76 053832
[19] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
[20] Zheng Y J, Xuan W T, Lu D Q, Ouyang S G, Hu W, Guo Q 2010 Acta. Phys. Sin. 59 1075 (in Chinese) [郑亚建、宣文涛、陆大全、欧阳世根、胡 巍、郭 旗 2010 物理学报 59 1075]
[21] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 25
[22] Krolikowski W, Bang O 2000 Phys. Rev. E 63 016610
[23] Nikolov N I, Neshev D, Krolikowski W, Bang O, Rasmussen J J, Christiansen P L 2004 Opt. Lett. 29 286
[24] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901
[25] Conti C, Fratalocchi A, Peccianti M, Ruocco G, Trillo S 2009 Phys. Rev. Lett. 102 083902
[26] Ouyang S G, Guo Q 2009 Opt. Express 17 5170
[27] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612
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