倾斜离轴高斯光束通过猫眼光学镜头的传输特性

Propagation Properties of Oblique and Off-Axial Gaussian Beams Passing Through Cat-Eye Optical Lens

运用矩阵光学理论以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法,进一步推导了倾斜离轴高斯光束通过猫眼光学镜头的解析传输公式,通过数值计算分析得到了倾斜系数和离轴量对猫眼效应反射光光强分布的影响规律。结果表明,斜入射情况下猫眼效应反射光光强分布发生非对称畸变,且倾斜系数较小和较大时有着不同的分布规律。并且,离轴量与倾斜系数共同决定着猫眼效应反射光应用于激光主动探测的可行性。

The propagation equations for oblique and off-axial Gaussian beams passing through cat-eye optical lens are deduced by using the theory of matrix optics and expanding the aperture function into a finite sum of complex Gaussian functions. By numerical computation, the laws governing the variation of the intensity distribution of the cat-eye reflected light with the obliquity factor and the off-axis magnitude are given. The result shows that the intensity distribution of the cat-eye reflected light under oblique condition has asymmetric aberrance, and the distribution rules at small and large different obliquity factors differ greatly. Furthermore, the feasibility of cat-eye effect reflected light used in the active laser detection system is determined by the obliquity factor and the off-axis magnitude.