nematic liquid crystal细胞中的偏振分辨角模式
Polarization resolved angular patterns in nematic liquid crystal cells
摘要：
通过理论分析光的偏振态随入射角的变化关系，研究了透射光在液晶盒中的偏振角结构。对于均匀排列的非线性液晶盒，利用$4\times 4$矩阵形式和正交关系推导出透射和反射矩阵的解析表达式。在二维投影平面中的偏振分辨角图案的特征在于偏振奇点：C点（圆偏振点）和L线（线偏振线）。在垂直排列的细胞上的线性偏振平面波入射的情况下，我们提出了详细的理论分析的结果，描述的偏振奇点的结构。我们应用该理论计算了非线性液晶盒中各种取向结构的偏振模式，并讨论了指向矢取向和双轴性引起的效应。
英文摘要：
We study the angular structure of polarization of light transmitted through a nematic liquid crystal (NLC) cell by theoretically analyzing the polarization state as a function of the incidence angles. For a uniformly aligned NLC cell, the $4\times 4$ matrix formalism and the orthogonality relations are used to derive the analytical expressions for the transmission and reflection matrices. The polarization resolved angular patterns in the two-dimensional projection plane are characterized in terms of the polarization singularities: C points (points of circular polarization) and L lines (lines of linear polarization). In the case of linearly polarized plane waves incident on the homeotropically aligned cell, we present the results of detailed theoretical analysis describing the structure of the polarization singularities. We apply the theory to compute the polarization patterns for various orientational structures in the NLC cell and discuss the effects induced by the director orientation and biaxiality.
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