Abstract

The split-step method was used to derive the full spatial dependence of the fourth moment of a plane-wave propagating in a two-dimensional turbulent atmosphere with a power-law spectrum for two values of the scattering parameter γ_k = 0 and 1 [ J. Opt. Soc. Am. A 2, 2133 ( 1985)]. The changes in γ_k were obtained by the use of two different values of the inner scale of turbulence l₀ while the operating wavelength and turbulent strength were kept constant. In this way the influence of l₀ on the field statistics can be obtained. The results of intensity scintillation index σ_I² and covariance function b_I are also presented. The agreement of σ_I² with the results of the reference cited above especially for γ_k = 0 is good. We also used the results of b_I to study the asymptotic dependence of the characteristic correlation length on ζ, where ζ is the propagation-range scale.

© 1994 Optical Society of America

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