The high-order irradiance moments recently measured in turbulent air up to the fifth order in connection with the K distribution are compared with previous theory based on a cluster expansion of the irradiance moments mv = 〈Iv〉/〈I〉v, V = 1, 2, 3,.... Good agreement is confirmed over the entire observed range 0.1 ≲ σI2〈I〉2 ≲ 6 of the normalized variance of irradiance σI2/〈I〉2, including the regions of both unsaturated and saturated scintillations. Also shown are the theoretical curves of the mean and the variance of the log-amplitude, and good consistency is found with values of previous experiments made exclusively in terms of the log-amplitude and also of recent experiments made simultaneously on both log-amplitude and irradiance. The K distribution fits the experimental results of the mv values well within the range σI2/〈I〉2≲2 but definitely fails to fit those of the mean and the variance of the log-amplitude.
© 1982 Optical Society of America
Shigeo Ito and K. Furutsu, "Theoretical analysis of the high-order irradiance moments of light waves observed in turbulent air," J. Opt. Soc. Am. 72, 760-764 (1982)