Abstract
A theoretical analysis of the propagation of spherical time-harmonic waves in a random medium is presented. The smoothing method is used to study the incoherent (or randomly fluctuating) component of the wave field. With the aid of the Fresnel approximation, an expression for the second moment of the incoherent wave is obtained which is valid for the case of high-frequency waves propagating in a medium which is statistically homogeneous and isotropic. This expression shows that the rms fluctuations of the wave field increase initially as the square root of the propagation distance, but that at larger distances (and higher frequencies) the fluctuations tend to saturate. These results agree with observations of waves propagating in real media.
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