In this paper, we study the evolution of the wave polarization vector in the tangent direction of the curved path. This path is assumed to be the trajectory of the propagated light beam. The polarization state of the wave is described by the unit complex transverse field component by eliminating the longitudinal field component. We obtain new relationship between the geometric phase and the parallel transportation law of the wave polarization vector of the evolving light beam in the tangent direction of the curved path. Moreover, we present a new geometric interpretation of the quasi binormal evolution of the wave polarization vector via the nonlinear Schrodinger equation of repulsive type in the tangent direction. Finally, we find a space-time nonlocal NLS reduction for equation system.

在本文中，我们研究了波偏振矢量在弯曲路径切线方向上的演变。假定该路径为传播光束的轨迹。通过消除纵向场分量，由单位复数横向场分量描述波的极化状态。在弯曲路径的切线方向上，我们得到了演化光束的偏振方向的几何相位与平行传输定律之间的新关系。此外，我们通过切线方向上的排斥型非线性Schrodinger方程，对波偏振矢量的准双正态演化提出了新的几何解释。最后，我们找到了方程系统的时空非局部NLS约简。