复指数矩阵法研究螺旋液晶光学传播特性

提出一种研究螺旋液晶光学特性的数学处理方法.螺旋型液晶可当作N层双折射材料晶片叠合而成,而相邻晶片的光轴依次旋转一个小角度.在光学转换矩阵中引入复数来研究螺旋型液晶光学性能,给出了相关的数学处理方法.研究了线性偏振光在螺旋液晶中的传播特性,并给出了光经过螺旋液晶后电场强度的矩阵表达式.研究发现,如果入射光波长等于螺旋液晶螺距,线偏振光经过右螺旋液晶后是左旋圆偏振光.理论上分析了螺旋液晶对可见光选择性反射机理.

Study of the Complex Number-Matrix Method on the Optical Properties of Cholesteric Liquid Crystal

The cholesteric liquid crystal can be regarded as a multilayer which consists of many layer uniaxial thin films which exhibit optical rotation. For the convenient discussion of the optical properties of cholesteric liquid crystal a new 2×2 matrix is offered, whose matrix element is the complex exponential. We discuss this method in detail and the role of it in the investigation of the optical property of the cholesteric liquid crystal. It is concluded that if the wavelength of incident light is equal to pitch of the cholesteric liquid crystal, the linear polarized light is changed into the circular polarized light. We also study the mechanism of the selective reflection of cholesteric liquid crystal for visible light when light propagates along the cholesteric liquid crystal.