The log-normal Rician probability-density function is based on the following paradigm for the optical field after propagation through atmospheric turbulence: a field with reduced coherence that obeys Rice–Nakagami statistics is modulated by a multiplicative factor that obeys log-normal statistics. The larger eddies in the turbulent medium produce the log-normal statistics, and the smaller ones produce the Gaussian statistics. On the basis of this model all the parameters required by the density function can be calculated by using physical parameters such as turbulence strength, inner scale, and propagation configuration. The heuristic density function is consistent with available data at low and at high turbulence levels.
© 1987 Optical Society of America
Original Manuscript: January 2, 1987
Manuscript Accepted: June 22, 1987
Published: October 1, 1987
James H. Churnside and Steven F. Clifford, "Log-normal Rician probability-density function of optical scintillations in the turbulent atmosphere," J. Opt. Soc. Am. A 4, 1923-1930 (1987)