Davis P A
Appl Opt. 1969 Oct 1;8(10):2099-102. doi: 10.1364/AO.8.002099.
The terminology of light scattering pertinent to a simple form of the lidar equation and the approximate analytical solution of the lidar equation are reviewed without specific restriction on the nature of the cloud scatterers. A boundary value of the volume backscattering coefficient and the relationship between extinction and backscattering are required for the solution. Given the boundary value of the backscattering coefficient and the total transmittance through a cloud, it is possible to derive (by successive approximation) an extinction/ backscatter ratio empirically. Application of the method to the ruby lidar return from a cirrus cloud led to a ratio of 28 sr, and to reasonable profiles of the backscatter coefficient and the transmittance through the cloud.
回顾了与激光雷达方程的简单形式相关的光散射术语以及激光雷达方程的近似解析解，且对云散射体的性质没有特定限制。求解需要体积后向散射系数的边界值以及消光与后向散射之间的关系。给定后向散射系数的边界值和穿过云层的总透过率，可以通过逐次逼近法凭经验得出消光/后向散射比。将该方法应用于来自卷云的红宝石激光雷达回波，得到的比值为28 sr，并得到了合理的后向散射系数剖面和穿过云层的透过率剖面。
