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In this paper, the nonlocal nonlinear medium, nematic liquid crystals (NLCs) with negative dielectric anisotropy, are studied. Theoretical research shows that NLCs with negative dielectric anisotropic have a negative nonlinear coefficient. The analytical expressions for characteristic length of the nonlocal response function and for nonlinear coefficient are given. Secondly, the solutions for spatial optical solitons in NLCs with negative dielectric anisotropic are obtained by numerical computation. Finally, the influences of beam power and bias voltage on the propagation of the beam in NLCs with negative dielectric anisotropic are investigated. The result shows that the critical power of the nonlocal spatial solitons in NLCs with negative dielectric anisotropic varies with bias voltage.
[1] Chong A, Renninger W, Christodoulides D N, Wise F 2010 Nature Photon. 4 103
[2] Musslimani Z H, Makris K G, Ganainy R E I, Christodoulides D N 2008 Phys. Rev. Lett. 100 030402
[3] Hu S M, Hu W 2012 Chin. Phys. B 21 024212
[4] Hu S M, Hu W 2013 Chin. Phys. B 22 074201
[5] Xu Z Y, Kartashov Y V, Torner L 2005 Phys. Rev. Lett. 95 113901
[6] Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[7] Peccianti M, Brzdkiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[8] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[9] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[10] Hu W, Zhang T, Guo Q, Li X, Lan S 2006 Appl. Phys. Lett. 89 071111
[11] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
[12] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[13] Rotschild C, Segev M, Xu Z, Kartashov Y V, Torner L, Cohen O 2006 Opt. Lett. 31 3312
[14] Ma X K, Yang Z J, Lu D Q, Guo Q, Hu W 2011 Phys. Rev. A 83 033829
[15] Zhao C, Ma X K, Wang J, Lu D Q, Hu W 2013 Acta Phys. Sin. 62 094213(in Chinese)[赵璨, 马学凯, 王靖, 陆大全, 胡巍 2013 物理学报 62 094213]
[16] Peng H Q, Ma X K, Lu D Q, Hu W 2012 Acta Phys. Sin. 61 184211(in Chinese)[彭虎庆, 马学凯, 陆大全, 胡巍 2012 物理学报 61 184211]
[17] Rasmussen P D, Bang O, Królikowski W 2005 Phys. Rev. E 72 066611
[18] 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]
[19] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 9378
[20] Wang Y Q, Guo Q 2008 Chin. Phys. B 17 2527
[21] Deng D M, Zhao X, Guo Q, Lan S 2007 Opt. Soc. Am. B 24 2537
[22] Deng D M, Guo Q 2008 J. Opt. A: Pure Appl. Opt. 10 035101
[23] Assanto G, Fratalocchi A, Peccianti M 2007 Opt. Express 15 5248
[24] Peccianti M, Conti C, Assanto G 2005 Opt. Lett. 30 415
[25] Long X W, Hu W, Zhang T, Guo Q, 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]
[26] Peccianti M, Conti C, Assanto G 2003 Opt. Lett. 28 2231
[27] Pasquazi A, Alberucci A, Peccianti M, Assanto G 2005 Appl. Phys. Lett. 87 261104
[28] Alberucci A, Peccianti M, Assanto G, Coschignano G, de Luca A, Umeton C 2005 Opt. Lett. 30 1381
[29] Fratalocchi A, Assanto G, Brzdakiewicz K A, Karpierz M A 2005 Opt. Express 13 1808
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[1] Chong A, Renninger W, Christodoulides D N, Wise F 2010 Nature Photon. 4 103
[2] Musslimani Z H, Makris K G, Ganainy R E I, Christodoulides D N 2008 Phys. Rev. Lett. 100 030402
[3] Hu S M, Hu W 2012 Chin. Phys. B 21 024212
[4] Hu S M, Hu W 2013 Chin. Phys. B 22 074201
[5] Xu Z Y, Kartashov Y V, Torner L 2005 Phys. Rev. Lett. 95 113901
[6] Mitchell M, Segev M, Christodoulides D N 1998 Phys. Rev. Lett. 80 4657
[7] Peccianti M, Brzdkiewicz K A, Assanto G 2002 Opt. Lett. 27 1460
[8] Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[9] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[10] Hu W, Zhang T, Guo Q, Li X, Lan S 2006 Appl. Phys. Lett. 89 071111
[11] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
[12] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[13] Rotschild C, Segev M, Xu Z, Kartashov Y V, Torner L, Cohen O 2006 Opt. Lett. 31 3312
[14] Ma X K, Yang Z J, Lu D Q, Guo Q, Hu W 2011 Phys. Rev. A 83 033829
[15] Zhao C, Ma X K, Wang J, Lu D Q, Hu W 2013 Acta Phys. Sin. 62 094213(in Chinese)[赵璨, 马学凯, 王靖, 陆大全, 胡巍 2013 物理学报 62 094213]
[16] Peng H Q, Ma X K, Lu D Q, Hu W 2012 Acta Phys. Sin. 61 184211(in Chinese)[彭虎庆, 马学凯, 陆大全, 胡巍 2012 物理学报 61 184211]
[17] Rasmussen P D, Bang O, Królikowski W 2005 Phys. Rev. E 72 066611
[18] 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]
[19] Kartashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 9378
[20] Wang Y Q, Guo Q 2008 Chin. Phys. B 17 2527
[21] Deng D M, Zhao X, Guo Q, Lan S 2007 Opt. Soc. Am. B 24 2537
[22] Deng D M, Guo Q 2008 J. Opt. A: Pure Appl. Opt. 10 035101
[23] Assanto G, Fratalocchi A, Peccianti M 2007 Opt. Express 15 5248
[24] Peccianti M, Conti C, Assanto G 2005 Opt. Lett. 30 415
[25] Long X W, Hu W, Zhang T, Guo Q, 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]
[26] Peccianti M, Conti C, Assanto G 2003 Opt. Lett. 28 2231
[27] Pasquazi A, Alberucci A, Peccianti M, Assanto G 2005 Appl. Phys. Lett. 87 261104
[28] Alberucci A, Peccianti M, Assanto G, Coschignano G, de Luca A, Umeton C 2005 Opt. Lett. 30 1381
[29] Fratalocchi A, Assanto G, Brzdakiewicz K A, Karpierz M A 2005 Opt. Express 13 1808
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