Abstract: The inversion algorithm of DCIM lidar measuring turbulence profile was proposed based on generalized Hufnagel-Valley model. The smoothing function of data was derived. Through numerical simulation of HV 5/7 model, we can get some results. Without random error, the maximum difference between the inversion profile and HV 5/7 model profile is about 0.004 order of magnitude. The absolute relative errors of r0 and the whole layer θ calculated by the inversion profiles are both less than 0.5%.With 10% random errors, the maximum difference between the inversion profiles and HV 5/7 model profile is about 0.5 order of magnitude below 20km while it is bigger above 20km.The absolute relative errors of r0 and the whole layer θ computed by the inversion profiles are less than 10% and 5%. So it meets the actual application of laser propagation in the atmosphere. The smoothing function is suitable for practical application because it does not affect the variation of the inversion profiles with height. Finally, the universality of the algorithm was verified and the algorithm can be used to DCIM lidar to get profile.

Key words: Atmospheric optics, Inversion algorithm, Turbulence profile, lidar, Numeric simulation