矢量光束的一般表示方法是利用投影矩阵和广义琼斯矢量的乘积描述.投影矩阵存在一个自由度，该自由度与有限光束的场矢量偏振状态有关,由特定的单位矢量与波矢量间的方位角决定，可以定量地描述矢量光束的偏振状态.本文在矢量光束描述的理论基础上，通过对投影矩阵进行与反射光束与透射光束传播方向相应的坐标旋转，根据麦克斯韦方程组及其边界条件，计算讨论在各向同性介质界面上反射、透射矢量光束的表示形式以及其自旋霍尔效应表现出的横向位移.线偏振光(光子自旋量为σ=0)横向位移为零，圆偏振光束(光子自旋量为σ=±1)位移量最大且左圆偏振与右圆偏振光束的位移大小相等方向相反，进一步分析了左圆偏振光束在界面上的反射、透射光束的横向位移与入射角的关系.

The finite electromagnetic vector is achieved by factorizing into a mapping matrix and a Jones vector. The vectorial property can be described by a degree of freedom of the mapping matrix that can be determined by the azimuthal angle of a fixed unit vector with respect to the wave vector. The representation formalism of the reflected and transmitted vector light beams is theoretically developed between the interfaces. The transverse shift, which is correlative with the spin Hall effect, is discussed. The transverse shift of the linearly polarized light beam (σ=0) is zero. The transverse shift of the circularly polarized light beam (σ=±1) is maximum and the left and right circularly polarized light beam is the same.The dependence of transverse shift of the left circularly polarized light beam on the incidence angle is algo analyzed.