Influence of the Exponent in the Power-Law Model of Turbulence Spectrum in a Supersonic Flow on Laser Beam Propagation

The influence of deviations from the Kolmogorov–Obukhov model in the spectra of refractive index fluctuations in a supersonic air flow on transmitted optical radiation is studied. Statistical moments of a field are analytically estimated; laser radiation propagation through a high-speed air flow generated during flowing around an aircraft is simulated. The estimates of the coherence length and the relative dispersion of optical wave intensity fluctuations are compared. Consideration of deviations from the model of developed turbulence is shown to cause significant (several times) changes in the estimates of laser beam characteristics at a distance of several hundred meters. The results can be used to estimate radiation distortions under the turbulence effect in an optically active layer near the surface of supersonic aircraft on location and communication routes.