A novel idea: Calculating anisotropic turbulence only by Kolmogorov structure constant Cn2 and power law α

As stated in the present research, the anisotropic non-Kolmogorov turbulence model is more in line with the actual turbulence. However, anisotropic factor is vital for the accuracy of calculations, and measuring it precisely is a challenging task. In this paper, utilizing three modeling approaches, we derive four different equivalence formulas between the anisotropic non-Kolmogorov and the Kolmogorov structure constants, and apply them to the extant anisotropic results. It is found that the anisotropic factor is eliminated and the anisotropic turbulence can be predicted only by Kolmogorov structure constant and power law. •Four different equivalence formulas between the anisotropic non-Kolmogorov and the Kolmogorov structure constants are derived in this paper.•Applying them to the extant anisotropic results, the possibility of using only Kolmogorov structure constant and power law to predict anisotropic turbulence is established.•This work will contribute to the comprehension of light waves transmission in the anisotropic non-Kolmogorov link and the engineering application of the anisotropic theoretical models.