扩展琼斯矩阵在研究Solc滤波器离轴消光比中的应用

Application of simplified extended Jones Matrix in off-axes extinction ratio of Solc birefringent filters

根据广泛使用的双折射材料的性质以及滤波器入射角有限的特点,讨论了晶体中o光和e光的关系;根据光的折射定律,将光在晶体表面的折射效果表述为输入、输出折射率矩阵;建立了从入射面坐标系到晶体本征坐标系的坐标变换矩阵;推出了简化的扩展琼斯矩阵。整个过程物理思想清楚,每个矩阵表示的物理意义直观、明确,得到的结果简单,计算量小。用于Solc滤波器消光比的研究,给出了在任意入射角下计算多块晶片Solc滤波器传输特性的一般表达式,对Solc滤波器锥光干涉图作了数值模拟。适用于计算各种类型双折射滤波器的离轴消光比。

According to the characteristics of birefringent materials and the limited in angle of incidence, the relations of the ordinary beam and extraordinary beam in a crystal were investigated. The refraction effects on the crystal surfaces were represented as input and output refraction matrixes based on the Fresnel formulas. The transform matrixes were obtained to converting coordinates between incident plane axes and crystal eigent axes. Then a simplified extended Jones matrix method was derived for treating transmission of offaxis light through birefringent filters. The process is physically more explicit, the meaning of each matrix is intuitive and definite. The simplified extended Jones matrix method is simple and fast. Using the method to Solc birefringent filters, a general expression was given to calculate the transmission properties of filters with multiple-stage crystal at arbitrary incident angel, the conosoopic figures were simulated The method is suitable for computing the off-axes extinction ration of all kind of birefringent filters.