In this paper we coipare the theoretical performances of two schemes of optical communication through the atmospheric turbulence: (1) heterodyne detection and (2) video detection. The signal-to-noise ratios (S/N) in the output current of a detector are expressed for both schemes in terms of the correlation function of the refractive index fluctuations of the turbulence. The results of a separate theoretical analysis of optical wave propagation through a random turbulence are used in order to obtain a numerical estimate of the performance criterion (S/N)(2)(S/N)(1) in terms of the length of propagation through the atmosphere, the turbulence strength, the wavelength of the optical wave, and the diameter of the receiving aperture.
Jean-Pierre Laussade, Amnon Yariv, and Jack Comly, "Optical Communication Through Random Atmospheric Turbulence," Appl. Opt. 8, 1607-1611 (1969)