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TRANSMISSION AS AN INPUT BOUNDARY VALUE FOR AN ANALYTICAL SOLUTION OF A SINGLE-SCATTER LIDAR EQUATION

机译:传输作为单散射激光方程的解析解的输入边界值

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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. (C) 1996 Optical Society of America [References: 25]
机译:单散射激光雷达信号携带有关空间大气反向散射系数的信息,该信息被路径积分消光所衰减。假定反向散射和消光之间的关系是已知的,则反向消光轮廓和路径积分消光与输入边界值唯一相关。在一定范围间隔内的积分消光是沿该路径的光传输的量度。相反,对于在关注路径上的给定传输,将唯一定义输入边界值。导出了一个解析表达式,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透射测量的情况下或在激光雷达路径中有多个云层或光束停止等目标的情况下很有用。提出了正向和反向积分方法的方程。与基于单点参考消光值的广泛接受的反演方案相比,该方法对噪声的敏感性较低。 (C)1996年美国眼镜学会[参考文献:25]

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