Matrix analysis method for evaluation of lens parameters influence in polarization transmission

Most studies on the influence of lens parameters in polarization transmission have been carried out in the traditional geometric analysis method, which has the problems of low accuracy and complicated calculation. In this paper, taking the Galileo beam expanding system as an example, a matrix analysis method is proposed to characterize the process of polarization transmission, and derived the polarization azimuth deflection equation. The numerical simulations of the matrix analysis method and the geometric analysis method are compared with the Zemax simulations and the experiments. The variance of the matrix analysis method is compared with the geometric analysis method under four parameters of the lens. It turns out that the numerical simulation results of the two methods are consistent with the Zemax simulation and the experiments. The variance of the matrix analysis method is mostly smaller than that of the geometric analysis method, which further shows that the matrix analysis method is closer to the Zemax simulations and the experiments, and the accuracy is higher.