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 <i>m<sub>v</sub></i> = 〈<i>I</i><sup><i>v</i></sup>〉/〈<i>I</i>〉<sup><i>v</i></sup>, <i>V</i> = 1, 2, 3,.... Good agreement is confirmed over the entire observed range 0.1 ≲ σ<i>I</i><sup>2</sup>〈I〉<sup>2</sup> ≲ 6 of the normalized variance of irradiance σ<i>I</i><sup>2</sup>/〈<i>I</i>〉<sup>2</sup>, 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 <i>m<sub>v</sub></i> values well within the range σ<i>I</i><sup>2</sup>/〈<i>I</i>〉<sup>2</sup>≲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)