Bigelow J E, Kashnow R A
Appl Opt. 1977 Aug 1;16(8):2090-6. doi: 10.1364/AO.16.002090.
The Poincaré sphere representation, a geometrical method for solving problems involving the propagation of polarized light through birefringent and optically active media, is applied to several electrooptic liquid crystal problems. The emphasis is on the twisted nematic case, for which the quiescent state solution was given by Mauguin in 1911. The Poincaré construction shows that the normal modes for the undeformed twisted nematic layer are slightly ellipticity. polarized and suggests convenient experiments for measuring the ellipticity. For the field-activated state, a construction is indicated as an alternative to matrix-multiplication methods.
庞加莱球表示法是一种用于解决涉及偏振光在双折射和旋光介质中传播问题的几何方法，该方法被应用于几个电光液晶问题。重点是扭曲向列相情况，其静态解由毛吉于1911年给出。庞加莱构建表明，未变形扭曲向列相层的正常模式是轻微椭圆偏振的，并提出了测量椭圆率的便捷实验。对于场激活态，给出了一种构建方法作为矩阵乘法方法的替代方法。
