斜入射条件下的琼斯矩阵

分析了在光斜入射时琼斯矩阵失效的原因。研究了小角度入射时e光和o光矢量方向差异及其偏振方向相对于90°的偏离。分析并类比垂直入射时建立坐标系的原则和办法,在小角度条件下重新建立了实验室坐标系和晶体坐标系,求出了坐标系间的变换角,并对其误差进行了讨论。不采用两光波方向相同的假设,也不加晶体主折射率相差不大的约束,推出了斜入射条件下o光波与e光波的相位差表达式。建立了斜入射条件下的琼斯矩阵。当光斜入射时,在新坐标系下采用小角度近似,琼斯矩阵方法可以在极小的误差下有效使用。研究结果为双折射波片或系统中光束传播特性的研究提供了理论支持和有效工具。

Jones Matrix With Slanting Incident Wave

The failure reason of Jones matrix method was analyzed when optical wave slants through birefringent plate system. In case of a small incident angle, the difference of directions between e wave and o wave and the deviation from 90° of their polarization directions were studied. On the basis of analyzing and analogizing the principle and the method to establish coordinate system of normal incidence, the laboratory coordinate system and the crystal coordinate system were redefined under the small angle condition. The transformation angle of the two coordinate systems was computed. Their errors were discussed preliminarily. The formulation of phase difference between o wave and e wave in case of slanting incidence was deduced without the assumption that wave directions would be the same and the restriction that the difference of principal refractive indexes would be small. Then the Jones matrix was presented as the wave slants though the crystal with a small incident angle. With the wave slanting and a small angle approximated in a new coordinate system, the Jones matrix method could be used effectively with a small error. The results afford a theoretical foundation and an effective tool for investigation into characteristics of rays in the birefringent plates or systems.