Analysis of temporal power spectra for optical waves propagating through weak anisotropic non-Kolmogorov turbulence

Abstract

Analytic expressions for the temporal power spectra of irradiance fluctuations and angle of arrival (AOA) fluctuations are derived for optical waves propagating through weak anisotropic non-Kolmogorov atmospheric turbulence. In the derivation, the anisotropic non-Kolmogorov spectrum is adopted, which adopts the assumption of circular symmetry in the orthogonal plane throughout the path and the same degree of anisotropy along the propagation direction for all the turbulence cells. The final expressions consider simultaneously the anisotropic factor and general spectral power law values. When the anisotropic factor equals one (corresponding to the isotropic turbulence), the derived temporal power spectral models have good consistency with the known results for the isotropic turbulence. Numerical calculations show that the increased anisotropic factor alleviates the atmospheric turbulence's influence on the final expressions.

A novel idea: calculating anisotropic turbulence only by Kolmogorov structure constant C$_n^2$ and power law $α$

“…Applying the equivalence formula (10) to the temporal power spectrum of irradiance fluctuations for a plane wave transmission in weak anisotropic turbulence [23] and the anisotropic non-Kolmogorov turbulence model Eq. ( 1) respectively, we can obtain the following formulas…”

Effects of Anisotropic Turbulence on Propagation Characteristics of Partially Coherent Beams with Spatially Varying Coherence

“…where D is the width of the square aperture of the lens. By inserting Equation 17into (19) and after integrating over ξ and η, we can obtain the analytical expression for the PIB: In a practical situation one is concerned about the amount of energy carried by the beam received by a detector in the receiver plane. The more energy the detector receives, the higher the efficiency of the optical system.…”

“…where D is the width of the square aperture of the lens. By inserting Equation 17into (19) and after integrating over ξ and η, we can obtain the analytical expression for the PIB:…”