Abstract
A theoretical study is presented of the mutual correlation between amplitude and phase fluctuations when an acoustic (or electromagnetic) wave propagates in a random medium whose correlation function for refractive index is spheroidal-Gaussian. Amplitude-phase correlations are considered for both plane and spherical waves transmitted through a statistically isotropic medium in which the deviations of refractive index about a mean are small. Large-scale inhomogeneities of arbitrary spheroidal shape are treated, and transmitter-to-receiver ranges are taken as large in comparison with the refractive-index correlation length in the transmitter-receiver plane. Comparison is made between the cases of spherical and nonspherical inhomogeneities, for both plane and spherical acoustic waves. The low- and high-frequency extremes of the theory are given special note.
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