Temporal power spectra of plane wave considering finite turbulence inner and outer scales in anisotropic turbulence

Abstract

Theoretical investigations and experiments have shown that the atmosphere turbulence exhibits both anisotropic and non-Kolmogorov properties compared with traditional atmospheric turbulence which takes the hypotheses of isotropy and homogeneity. There is an increasing interest for modeling atmosphere turbulence with a power spectrum that incorporates anisotropy and general spectral power law deviated from the standard value of 11/3 for the Kolmogorov turbulence. In this study, new analytic expressions for the temporal power spectra of irradiance fluctuations and angle of arrival (AOA) fluctuations have been derived based on the Rytov approximation theory for optical plane wave propagating through weak anisotropic non-Kolmogorov atmosphere turbulence. Compared with the previously published results, the effective anisotropic factor is introduced to the final results to include the anisotropy for different turbulence cells or eddies. The finite turbulence inner and outer scales and the general spectral power law in the range of 3–4 are also considered in the final derived models. The results in this work will help better understand the optical waves’ propagation through anisotropic non-Kolmogorov turbulence.