Angle of arrival fluctuations of optical waves considering finite turbulence outer scale under anisotropic turbulence

In this work, new analytic expressions for the variance of angle of arrival (AOA) fluctuations are derived based on the Rytov theory for optical plane and spherical waves propagating through weak anisotropic non-Kolmogorov atmospheric turbulence. In the derivations, the concept of anisotropy at different turbulence cells is considered and the finite turbulence outer scale is included. Deviations from the classic 11/3 spectral power law behavior for Kolmogorov turbulence are also allowed by assuming spectral power law value variations between 3 and 4. The derived analytic expressions can reduce correctly to the previously published results for optical plane and spherical waves propagating through weak anisotropic non-Kolmogorov turbulence in the special case of the finite turbulence inner and outer scales equaling separately zero and infinite. Calculations are performed to analyze the influences of anisotropic non-Kolmogorov turbulence on the derived analytic results.