Abstract
With the deepening of atmospheric turbulence research, scientists have discovered that the anisotropy of turbulence cells cannot be ignored. The anisotropic non-Kolmogorov turbulence model is more in line with the actual situation of atmospheric turbulence. However, the recent experimental results of Korotkova et al. and Beason et al. display that the turbulence cell has an anisotropic tilt angle, that is, the long axis of the turbulence cell may not be horizontal to the ground but has a certain angle with the ground. Therefore, it is urgent to analyze whether the anisotropic tilt angle is necessary in the turbulence spectrum. In this study, we develop the anisotropic non-Kolmogorov turbulence spectra for the horizontal and vertical links in the presence of the anisotropic tilt angle. Then, based on these spectra, the analytical expressions of the scintillation index for the horizontal and vertical links are derived under weak fluctuation condition. The results indicate that the anisotropic tilt angle is necessary in the vertical link but not in the horizontal link.
Highlights
The Kolmogorov turbulence model is the most widely utilized atmospheric turbulence model at present Andrews and Phillips [1], as more and more atmospheric experimental results inconsistent with the Kolmogorov turbulence model are discovered, scientists have found that the anisotropic non-Kolmogorov turbulence model is a more realistic model for atmospheric turbulence Manning [2]; Procaccia and Constantin [3]; Belen’kii et al [4]; Toselli et al [5]; Andrews et al [6]; Kessar et al [7]; Cui et al [8]; Wang et al [9]; Beason et al [10]; Zhai [11]; Roşu et al [12]; Xu and Lai [13,14]
The recent experimental results of Korotkova et al and Beason et al have clearly shown that the turbulence cell has an anisotropic tilt angle, that is, the long axis of the turbulence cell may not be horizontal to the ground but has a certain angle with the ground Wang et al [9]; Beason et al [10]
We derive the analytical expressions of the scintillation index for the horizontal and vertical links under weak fluctuation condition and calculations are implemented to evaluate the influence of the anisotropic tilt
Summary
The Kolmogorov turbulence model is the most widely utilized atmospheric turbulence model at present Andrews and Phillips [1], as more and more atmospheric experimental results inconsistent with the Kolmogorov turbulence model are discovered, scientists have found that the anisotropic non-Kolmogorov turbulence model is a more realistic model for atmospheric turbulence Manning [2]; Procaccia and Constantin [3]; Belen’kii et al [4]; Toselli et al [5]; Andrews et al [6]; Kessar et al [7]; Cui et al [8]; Wang et al [9]; Beason et al [10]; Zhai [11]; Roşu et al [12]; Xu and Lai [13,14]. The recent experimental results of Korotkova et al and Beason et al have clearly shown that the turbulence cell has an anisotropic tilt angle, that is, the long axis of the turbulence cell may not be horizontal to the ground but has a certain angle with the ground Wang et al [9]; Beason et al [10]. In this study, considering the anisotropic tilt angle, the anisotropic non-Kolmogorov turbulence spectra for the horizontal and vertical links are developed. Based on these spectra, we derive the analytical expressions of the scintillation index for the horizontal and vertical links under weak fluctuation condition and calculations are implemented to evaluate the influence of the anisotropic tilt. Anisotropic Tilt Angle in Turbulence angle on the scintillation index in the horizontal and vertical links. It is anticipated that this study will benefit the construction of the atmospheric turbulence model and understanding of optical wave transmission in anisotropic non-Kolmogorov links
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