无外置偏压的向列相液晶盒中的呼吸子传输

主要理论分析了(2+1)维呼吸子在一种预倾角为π/4 的无外置偏压的液晶盒中传输的情况。基于(2+1)维非局域非线性薛定谔方程利用格林函数法计算得出这种特殊液晶盒中光束传输时的响应函数，同时得到了这种情况下的非线性系数，结果表明通过一定的技术手段获得了更强的非线性效应。在平衡点处将势函数近似展开到二阶的情况下得到了一个近似的呼吸子解，另外通过势函数数值积分也得到了一个呼吸子解，将两种理论方法计算所得的呼吸子解的波动振幅、周期和最大(最小)束宽分别与数值模拟结果比较，得到数值积分的结果与数值模拟结果吻合更好。

Abstract

The propagation of the (2+1)-dimensional breathers in a nematic liquid crystal (NLC) cell is theoretically investigated, whose tilt angle is fixed to π/4 in anywhere without bias voltage. The reponse function of beam′s propagation in such a special cell is obtained by the Green function which is based on a (2+1)-dimensional nonlocal nonlinear Schro?dinger equation (NNLSE), and at the same time，the nonlinear coefficient in this case is obtained. The results show that the nonlinear effects can be stronger by certain technical means. On the balance point, the potential is approximate to the 2nd order, an approximate breather solution is presented. In addition, another breather solution is obtained by numerical integration. Respectively compared the breather amplitude fluctuations, period and the maximal (minimal) widths which are calculated by the two theoretical methods with the numerical simulations, it is obviously found that the results of numerical integration are more accurate.

参考文献

[1] G I Stegeman, M Segev. Optical spatial solitons and their interactions: Universality and diversity[J]. Science, 1999, 286(5444): 1518-1523.

[2] A W Snyder, D J Mitchell. Accessible solitons[J]. Science, 1997, 276(5318): 1538-1541.

[3] 张解放, 赵辟, 胡文成, 等. 非均匀非线性波导中涡旋光孤子的相互作用传播[J]. 光学学报, 2013, 33(4): 0419001.

Zhang Jiefang, Zhao Bi, Hu Wencheng, et al.. Interaction propagation of optical vortex solitons in inhomogeneous nonlinear waveguides[J]. Acta Optica Sinica, 2013, 33(4): 0419001.

[4] 戴志平, 杨振军, 张书敏, 等. 双曲余弦高斯光束在强非局域介质中的传输[J]. 光学学报, 2014, 34(8): 0819002.

Dai Zhiping, Yang Zhenjun, Zhang Shumin, et al.. Propagation of hyperbolic-cosine Gaussian beams in strongly nonlocal media[J]. Acta Optica Sinica, 2014, 34(8): 0819002.

[5] 陈继龙, 石智伟, 李华刚. 非局域非线性介质中的非傍轴空间光孤子[J]. 中国激光, 2014, 41(3): 0302005.

Chen Jilong, Shi Zhiwei, Li Huagang. Nonparaxial spatial optical solitons in the nonlocal nonlinear media[J]. Chinese J Lasers, 2014, 41(3): 0302005.

[6] 刘建南, 徐四六. 非定域非线性介质中空间光孤子传输特性的研究[J]. 激光与光电子学进展, 2013, 50(4): 040602.

Liu Jiannan, Xu Siliu. Research of spatial-soliton transmission characteristics in nonlocal nonlinear medium[J]. Laser ＆ Optoelec tronics Progress, 2013, 50(4): 040602.

[7] 白东峰, 王毅, 华显立. 非局域光学格子中光束传输的变分研究[J]. 激光与光电子学进展, 2013, 50(11): 111901.

Bai Dongfeng, Wang Yi, Hua Xianli. Variational investigation of beam propagation in nonlocal optical lattice[J]. Laser ＆ Optoelec tronics Progress, 2013, 50(11): 111901.

[8] C Conti, M Peccianti, G Assanto. Route to nonlocality and observation of accessible solitons [J]. Phys Rev Lett, 2003, 91(7): 073901.

[9] C Conti, M Peccianti, G Assanto. Obsercation of optical spatial solitons in a highly nonlocal medium[J]. Phys Rev Lett, 2004, 92(11): 113902.

[10] C Rotschild, O Cohen, O Manela, et al.. Solitons in nonlinear media with an infinite range of nonlocality: First observation of coherent elliptic solitons and of vortex-ring solitons[J]. Phys Rev Lett, 2005, 95(21): 213904.

[11] M Peccianti, C Conti, G Assanto. Interplay between nonlocality and nonlinearity in nematic liquid crystals[J]. Opt Lett, 2005, 30(4): 415-417.

[12] M Peccianti, C Conti, G Assanto, et al.. Routing of anisotropic spatial solitons and modulational instability in liquid crystals[J]. Nature, 2004, 432(7018): 733-737

[13] W Hu, T Zhang, Q Guo, et al.. Nonlocality-controlled interaction of spatial solitons in nematic liquid crystals[J]. Appl Phys Lett, 2006, 89(7): 071111.

[14] J T K Wan, O K C Tsui, H S Kwok, et al.. Liquid crystal pretilt control by inhomogeneous surfaces[J]. Phys Rev E, 2005, 72(2): 021711.

[15] 梁炎斌, 郑亚建, 杨平保, 等. 有界非局域非线性介质中空间光孤子传输的研究[J]. 物理学报, 2008, 57(9): 5690-5698.

Liang Yanbin, Zheng Yajian, Yang Pingbao, et al.. Investigation of propagation of spatial soliton in nonlocal nonlinear medium of finite-size[J]. Acta Physica Sinica, 2008, 57(9): 5690-5698.

朱叶青, 胡巍. 无外置偏压的向列相液晶盒中的呼吸子传输[J]. 光学学报, 2015, 35(9): 0919001. Zhu Yeqing, Hu Wei. Propagation of Breathers in the Nematic Liquid Crystal Cell without Bias Voltage[J]. Acta Optica Sinica, 2015, 35(9): 0919001.

无外置偏压的向列相液晶盒中的呼吸子传输

关于本站 Cookie 的使用提示

全站搜索

无外置偏压的向列相液晶盒中的呼吸子传输

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索