基于雷达光学系统的几何概率因子,考虑望远镜接收系统副镜在主镜上的投影对激光光斑高斯强度分布的影响,引入蒙特卡罗积分法,改进离轴激光雷达几何因子的理论计算方法.在望远镜焦平面处添加合适的透镜,通过透镜的成像效应,保证回波信号的入射光瞳只与望远镜的口径有关,不受探测器有效接收面积的影响,以实现对系统几何因子的进一步优化,并分析焦距等透镜参数对雷达系统几何因子的影响.理论计算与实验结果进行对比,结果表明改进后的理论计算值比实验值的相对误差减小了30%,改进后的理论计算方法效果理想且简单易行.

Based on the geometrical probability factor of lidar system and the influence of the second mirror projection in the plane of the major mirror of telescope,using Monte Carlo integral method,improves the theoretical equation of geometrical form factor of the off-axis lidar.The optimization of geometrical form factor can be achieved by insert a lens at the focal plane of the telescope with a proper parameter,with the image effect of the lens,ensure the entrance pupil of the echo signal only related to the diameter of the telescope ,which is not affected with the area of the detector.Comparisons analysis between theoretical results and experimental results show that,the proposed method has obvious advantages which the relative error between the calculated value and experimental results reduces 30%.The simulated results prove this enhanced method is effective and simple.