Abstract
We investigate the geometrical effect of graded index on the transport of polarized lights in the scope of geometrical optics, and present three effective methods based on the Runge-Kutta ray tracing technique in the Frenet-Serret frame and a fixed global Cartesian frame, respectively, for obtaining the polarization state of a polarized light that propagates in graded-index media. The three methods have their own advantages in accuracy, computational efficiency, and difficulty of implementation, respectively. Simulations on a three-dimensional graded-index model show that the results obtained by the three methods are in perfect agreement with each other.
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