A Computational Model of Cn2 Profile Inversion for Atmospheric Laser Communication in the Vertical Path

In this paper, an atmospheric structure constant [Formula: see text] model is proposed for evaluating the channel turbulence degree of atmospheric laser communication. First, we derive a mathematical model for the correlation between the atmospheric coherence length [Formula: see text] , the isoplanatic angle [Formula: see text] and [Formula: see text] using the Hufnagel–Valley (HV) turbulence model. Then, we calculate the seven parameters of the HV model with the actual measured [Formula: see text] and [Formula: see text] data as input quantities, so as to draw the [Formula: see text] profile and the [Formula: see text] profile. The experimental results show that the fitted average [Formula: see text] contours and single-day [Formula: see text] contours have superior fitting performance compared with our historical data, and the daily correlation coefficient between the single-day computed [Formula: see text] contours and the measured [Formula: see text] contours is up to 87%. This result verifies the feasibility of the proposed method. The results validate the feasibility of the proposed method and provide a new technical tool for the inversion of turbulence [Formula: see text] profiles.