用琼斯矩阵法分析别汉棱镜像面偏振态分布

Jones matrix analysis for polarization state distribution on image surface of Pechan prism

  • 摘要: 基于反射定律的矢量式易于追迹复杂系统中光线的三维空间传播方向,计算了别汉棱镜每一面反射光线的方向,利用琼斯矢量法建立每一反射平面的琼斯矩阵以及面与面之间的传输矩阵,得到了一束线偏振平行光通过别汉棱镜后像面上的偏振状态分布,即经由2个屋脊面出射的光束是2个方位角不同的椭圆偏振光,这2个方位角的大小与入射线偏振光的振动方向有关。采用斯托克斯参量测量法,对别汉棱镜像面上偏振状态的分布进行了实验检测,得到了与理论分析一致的结果,指出别汉棱镜的偏振效应将会导致出射光束偏振状态的不均匀分布。

     

    Abstract: A vector formula method based on reflection law was used to trace three-dimensional light propagation direction in a complex system. The direction of the light reflected by each side of Pechan prism was calculated, Jones matrix of the reflected plane and the transfer matrix between planes were established using Jones vector, and the distribution of polarization state on image surface was obtained when linearly-polarized parallel light passed through Pechan prism. There were two elliptically polarized beams with different azimuth angles from two roof surfaces, and the angles were dependent on the oscillation direction of incident linearly-polarized light. The distribution of polarization state on image surface of Pechan prism was tested with Stokes parameter measurement. The experimental result agrees with theoretical analysis and indicates that the polarization effect of Pechan prism results in non-uniform distribution of polarization state of the exit light.

     

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