Abstract

Wave propagation in a random medium with the fluctuating index-of-refraction structure constant Cn2 is considered. Under certain conditions, these fluctuations can essentially influence the results of field-moment measurements. The randomized probability-distribution function of the index of refraction is used to derive equations for arbitrary field moments in such a medium. With respect to the mean field and the two-point coherence function, it is shown that Cn2 fluctuations lead to an increase in these moments and also to the change in their analytical expressions as compared with the case of the unperturbed Cn2. For certain field moments the small-angle approximation for the radiative-transport equation and that of the equation for the radiant intensity autocorrelation function are derived. The relations among various spatial scales, such as the propagation distance, the local and global variation scales, and the coherence radius, are shown to play an important role in the outcome of the field-moment measurements.

© 1985 Optical Society of America

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