有关引力场高斯定理的探讨

基于牛顿的万有引力定律与静电场的库仑定律相似, 均满足平方反比定律, 对引力场的高斯定理进行 了探讨. 运用类比思想, 引入虚引力场强度, 提出了一种巧妙推导引力场高斯定理的新方法, 并用该方法推导出引力 场高斯定理的两种不同的表达形式, 同时对此做出了相关的分析. 理论表明该方法极其简单明了, 易于理解和掌握 运用, 具有一定的推广价值     

Experimental design to measure the anchoring energy on substrate surface by using the alternating-current bridge

The anchoring property of the substrate surface of liquid crystal cells plays an important role in display and nondisplay fields. This property directly affects the deformation of liquid crystal molecules to change the phase difference through liquid crystal cells. In this paper, a test method based on the alternating-current bridge is proposed to determine the capacitance of liquid crystal cells and thus measure the anchoring energy of the substrate surface. The anchoring energy can be obtained by comparing the capacitance–voltage curves of twisted nematic liquid crystal cells with different anchoring properties in experimental and theoretical results simulated on the basis of Frank elastic theory. Compared with the other methods to determine the anchoring energy, our proposed method requires a simple treatment of liquid crystal cells and allows easy and high-accuracy measurements, thereby expanding the test ideas on the performance parameters of liquid crystal devices.     

Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring

Zhang Y J et al.[Zhang Y J,Zhang Z D,Zhu L Z and Xuan L 2011 Liquid Cryst.38 355] investigated the effects of finite polar anchoring on the azimuthal anchoring energy at a grooved interface,in which polar anchoring was isotropic in the local tangent plane of the surface.In this paper,we investigate the effects of both isotropic and anisotropic polar anchoring on the surface anchoring energy in the frame of Fukuda et al.’s theory.The results show that anisotropic polar anchoring strengthens the azimuthal anchoring of grooved surfaces.In the one-elastic-constant approximation(K11 = K22 = K33 = K),the surface-groove-induced azimuthal anchoring energy is entirely consistent with the result of Faetti,and it reduces to the original result of Berreman with an increase in polar anchoring.Moreover,the contribution of the surface-like elastic term to the Rapini-Papoular anchoring energy is zero.     

Anchoring properties of substrate with a grating surface

The anchoring properties of substrate with a grating surface are investigated analytically. The alignment of nematic liquid crystal (NLC) in a grating surface originates from two mechanisms, thus the anchoring energy consists of two parts. One originates from the interaction potential between NLC molecules and the molecules on the substrate surface, and the other stems from the increased elastic strain energy. Based on the two mechanisms, the expression of anchoring energy per unit area of a projected plane of this grating surface is deduced and called the equivalent anchoring energy formula. Both the strength and the easy direction of equivalent anchoring energy are a function of the geometrical parameters (amplitude and pitch) of a grating surface. By using this formula, the grating surface can be replaced by its projected plane and its anchoring properties can be described by the equivalent anchoring energy formula.     

液晶全漏导模的实验研究

夹在2块玻璃基板之间的液晶可以形成波导层,光在其间传播形成导模.通过全漏波导技术,分别对扭曲向列相液晶盒施加不同电压进行测试,得到了依赖于角度变化的反射率(包括偏振保存和偏振转换)实验曲线.液晶指向矢的变化将直接影响反射率变化,验证了液晶全漏波导技术在探索液晶盒内部细微变化方面是有效手段.     

Exploration of the sum of flexoelectric coef ficients of nematic liquid crystals

We present a theoretical calculation of the dependence of reflectivity Rpp of the improved fully leaky waveguide geometry,which comprises pyramid,matching fluid,and strongly anchored hybrid aligned nematic liquid crystal(NLC) cell on the internal angle.The calculation is based on the multi layer optical theory and the elastic theory of liquid crystals.For different sums of flexoelectric coefficients e11 and e33,the curve of Rpp moves a distance to the left or the right relative to the case of ignoring the flexoelectric effect and the distance of the movement varies with different flexoelectric coefficients.Consequently,the sum of flexoelectric coefficients can be explored by measuring the distance of the movement.     

基于液晶动态响应的挠曲电系数测量EI北大核心CSCD

基于自组装的液晶动态响应实验装置,研究了液晶挠曲电效应对强锚泊混合排列向列相(HAN)液晶动态响应过程的影响。实验中HAN液晶盒施加脉宽为250 ms、幅度可调的正负单脉冲电压信号,结果发现:幅度相同的正负脉冲电压信号作用下液晶的动态响应不同,幅度不同的正脉冲或负脉冲电压信号作用下液晶的动态响应也不同。通过幅度不同的正脉冲电压信号(3、4、5、6 V)作用下液晶动态响应实验曲线与考虑挠曲电效应情形下液晶动态响应理论曲线之间的比较,得到了液晶材料E7的挠曲电系数为e11+e33=4.0×10-11C/m,与文献中报道的实验测量值基本一致。     

液晶全漏导模透射率的实验研究

实验研究了由棱镜、折射率匹配液及扭曲排列和垂直排列向列相液晶盒构成的液晶全漏导模的透射率。随着施加在液晶盒上的电压不同,得到了依赖于角度变化的透射率（包括偏振保存和偏振转换）的实验曲线。这些曲线由液晶指向矢在液晶盒中的分布直接控制,由此可以证实液晶全漏导模透射率同样可以用来探索液晶盒内部的细微变化。     

全漏光导波技术确定液晶材料的挠曲电系数

利用全漏光导波技术,测量负性向列相液晶材料MS-N01300-000的展曲和弯曲挠曲电系数之和.根据液晶弹性和多层光学理论得到同一电压下不同挠曲电系数的反射率随内角(入射到液晶层角度)的理论变化曲线.实验中,将液晶材料灌注到混合排列向列相液晶盒中,在液晶盒上分别加交流电和直流电,采用全漏光导波技术得到反映液晶指向矢分布的液晶波导反射率随内角变化曲线.实验发现,由于液晶挠曲电作用,同一电压值下反射率随内角变化曲线发生微小移动.对比理论与实验曲线,由曲线移动距离得到MS-N01300-000液晶材料展曲和弯曲挠曲电系数之和为2.5×10-11 C/m.