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 γk = 0 and 1 [ J. Opt. Soc. Am. A 2, 2133 ( 1985)]. The changes in γk 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 σI2 and covariance function bI are also presented. The agreement of σI2 with the results of the reference cited above especially for γk = 0 is good. We also used the results of bI 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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