光学学报, 2010, 30 (10): 3010, 网络出版: 2012-10-24
垂直排列相列相液晶中的光控空间孤子
Light-Controlled Spatial Solitons in Homeotropically Aligned Nematic Liquid Crystals
非线性光学 空间孤子 分步傅里叶算法 垂直排列相列相液晶 自聚焦 呼吸子 nonlinear optics spatial soliton split-step Fourier transform algorithm homeotropically aligned nematic liquid crystal self-focusing breather
摘要
用分步傅里叶算法研究了垂直排列相列相液晶盒中空间孤子的传输。用一束平行光在垂直排列相列相液晶中产生预倾角,另一束入射光沿液晶盒的中央位置射入液晶盒,推导了入射光在液晶盒中的传输方程。数值计算了入射光入射到70 μm厚液晶盒时液晶分子的取向角和折射率分布,还数值模拟了入射光在70 μm和100 μm厚液晶盒中的传输及孤子产生情况。根据理论分析发现垂直排列相列相液晶盒中可以外加一束平行光代替电场产生预倾角。另外还发现,70 μm厚液晶盒中很难得到稳定传输的孤子,100 μm厚液晶盒中不但能得到稳定传输的孤子还能得到周期随入射光强周期震荡的呼吸子。
Abstract
The propagation of spatial solitons in homeotropically aligned nematic liquid crystal is discussed by using the split-step Fourier algorithm. Applying one plane wave to generate pretilt angle in homeotropically aligned nematic liquid crystals′ and another incident beam is injected into the liquid crystal cell through the cell′s centre. Then the evolution equation of the incident beam is given. When the incident beam enters 70 μm thick liquid crystal cell, the refractive index and orientation angle of the liquid crystal in the cell are numerically calculated. At last, the incident beam propagation in 70 μm and 100 μm thick homeotropically aligned nematic liquid crystal is obtained numerically. According to the theoretical analysis, it shows that the pretilt angle in the liquid crystal can be generated by one parallel beam instead of electric field. It is also found that in the 70 μm thick liquid crystal cell, the soliton is difficult to be found. However, in 100 μm thick liquid crystal cell, it is easy not only to get the soliton but also to get the breather whose vibration cycle changes with the intensity of incident beam.
浦绍质, 展凯云, 侯春风. 垂直排列相列相液晶中的光控空间孤子[J]. 光学学报, 2010, 30(10): 3010. Pu Shaozhi, Zhan Kaiyun, Hou Chunfeng. Light-Controlled Spatial Solitons in Homeotropically Aligned Nematic Liquid Crystals[J]. Acta Optica Sinica, 2010, 30(10): 3010.