Calculating structure function constant from measured Cn2 in non-Kolmogorov and anisotropic turbulence including inner scale effects

Optical scintillometers used to characterize turbulence are based on assumptions of isotropic, Kolmogorov turbulence following a 𝜅−11/3 spectral power law. However, experimental data suggest that the turbulence may at times be anisotropic and non-Kolmogorov. In this work, consideration is given to converting from the structure function constant, 𝐶2𝑛, based on isotropic, Kolmogorov statistics to its generalized anisotropic, non-Kolmogorov form, 𝐶 2𝑛, for point receiver and large-aperture receiver scintillometers. It is found that 𝐶&2𝑛 is dependent not only on power law and anisotropy parameters but that it is also a function of inner scale. The large-aperture scintillometer is found to be less sensitive to power law and inner scale than the point-aperture receiver. The optical parameters of two-fielded scintillometers are modeled as practical examples of these behaviors.