Kovalev V A
Appl Opt. 1995 Jun 20;34(18):3457-62. doi: 10.1364/AO.34.003457.
Unlike other errors in the lidar equation solution for the two-component atmosphere, the error of the measured aerosol extinction coefficient caused by inaccuracies in the assumed aerosol backscatter-to-extinction ratios significantly depends on the aerosol spatial inhomogeneity. In a slightly nonhomogeneous atmosphere, an incorrect value in the assumed aerosol backscatter-to-extinction ratio does not significantly corrupt the measurement result, whereas in an atmosphere with a large monotonic change of the aerosol extinction [e.g., in the lower troposphere], the incorrect value yields a large distortion of the retrieved extinction-coefficient profile. In the latter case, even the far-end solution can produce a large error in the retrieved extinction coefficient. The analytical formulas for the determination of the range errors, obtained for the Klett and the optical-depth solutions, show that these errors significantly depend on the method of the boundary-condition determination. Distortions of the retrieved aerosol extinction profiles are, in general, larger if the assumed aerosol backscatter-to-extinction ratio is underestimated in relation to the real value.
与双组分大气激光雷达方程解中的其他误差不同，由假设的气溶胶后向散射与消光比不准确所导致的测量气溶胶消光系数误差，很大程度上取决于气溶胶的空间不均匀性。在略微非均匀的大气中，假设的气溶胶后向散射与消光比中的错误值不会显著破坏测量结果，而在气溶胶消光有较大单调变化的大气中（例如在对流层下部），错误值会导致反演的消光系数剖面出现较大偏差。在后一种情况下，即使是远端解在反演的消光系数中也会产生较大误差。针对克莱特解和光学深度解得到的用于确定距离误差的解析公式表明，这些误差很大程度上取决于边界条件的确定方法。一般来说，如果假设的气溶胶后向散射与消光比相对于实际值被低估，那么反演的气溶胶消光剖面的偏差会更大。
