负性介电各向异性向列相液晶中空间光孤子的理论研究

李一亨; 王靖; 胡巍; 郭旗

doi:10.7498/aps.63.184207

摘要

对非局域非线性介质向列相液晶中介电各向异性为负时的情况进行了研究. 理论研究表明，负性介电各向异性的向列相液晶具有负的非线性系数. 文中给出了其空间非局域响应特征宽度和非线性系数的表达式，并求出了其非局域响应函数；其次，用数值计算的方法给出了其空间孤子的传输结果. 最后，研究了光束功率和偏置电压的改变对负性介电各向异性向列相液晶中光束传输的影响，发现偏置电压的改变会导致光束在负性介电各向异性液晶中形成孤子所需的临界功率发生改变.

关键词:

Abstract

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.

Keywords:

作者及机构信息

1.
华南师范大学, 广东省微纳光子功能材料与器件重点实验室, 广州 510006

基金项目: 国家自然科学基金（批准号：11174090，11174091，11074080）资助的课题.

Authors and contacts

1.
Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510006, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11174090, 11174091, 11074080).

参考文献

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[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

施引文献

[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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