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

In this paper, an atmospheric structure constant (Formula presented.) 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 presented.), the isoplanatic angle (Formula presented.) and (Formula presented.) using the Hufnagel–Valley (HV) turbulence model. Then, we calculate the seven parameters of the HV model with the actual measured (Formula presented.) and (Formula presented.) data as input quantities, so as to draw the (Formula presented.) profile and the (Formula presented.) profile. The experimental results show that the fitted average (Formula presented.) contours and single-day (Formula presented.) contours have superior fitting performance compared with our historical data, and the daily correlation coefficient between the single-day computed (Formula presented.) contours and the measured (Formula presented.) 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 presented.) profiles.