Kunz G J
Appl Opt. 1996 Jun 20;35(18):3255-60. doi: 10.1364/AO.35.003255.
Single-scatter lidar signals carry information on the spatial atmospheric backscatter coefficient, attenuated by the path-integrated extinction. Assuming that the relationship between the backscatter and the extinction is known, the inverted extinction profile and the path-integrated extinction are uniquely related to the input boundary value. The integrated extinction over a certain range interval is a measure of the optical transmission along that path. In reverse, for a given transmission over the path of interest, the input boundary value is uniquely defined. An analytical expression is derived that describes the input boundary condition for the inversion of the single-scatter lidar equation in terms of the transmission losses over the path of interest. The proposed method is useful in situations in which independent transmission measurements are carried out or in situations in which targets such as multiple cloud layers or beam stops are available in the lidar path. Equations for both the forward and the backward integration method are presented. Compared with the widely accepted inversion schemes that are based on single-point reference extinction values, the proposed method is less sensitive to noise.
单散射激光雷达信号携带有关空间大气后向散射系数的信息，该系数会因路径积分消光而衰减。假设后向散射与消光之间的关系已知，则反演得到的消光廓线和路径积分消光与输入边界值具有唯一的关联。在特定范围区间内的积分消光是沿该路径光传输的一种度量。反之，对于感兴趣路径上给定的传输，输入边界值是唯一确定的。推导了一个解析表达式，该表达式根据感兴趣路径上的传输损耗描述了单散射激光雷达方程反演的输入边界条件。所提出的方法在进行独立传输测量的情况下或在激光雷达路径中有多层云或光束阻挡等目标的情况下很有用。给出了前向和后向积分方法 的方程。与基于单点参考消光值的广泛接受 的反演方案相比，所提出的方法对噪声不太敏感。
