Abstract
Acoustic propagation in a one‐dimensional random inhomogeneous medium is considered. Exact solutions of the Dyson equation for the coherent field are examined to determine constraints on the correlation function of the random inhomogeneities to insure finite results. The long range behavior of the coherent field is predicted, yielding an attenuation due to scattering and a modification of the real part of the propagation constant. Approximate solutions for the coherent field are then applied to determine the incoherent field. In contrast to results obtained using a straightforward perturbation approach, the predicted incoherent field is, in this case, finite in the absence of attenuation. [Research supported by ONR.]
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