Abstract
A theoretical analysis of the wave field radiated by a point source in a weakly inhomogeneous one‐dimensional random medium has been carried out. The analysis is based on a perturbation technique and includes all single‐ and double‐scattering terms, as well as some scattering terms of higher order. An approximate expression, valid when the absorption of the medium is small, has been obtained for the mean energy flux of the wave as a function of propagation range. This expression shows that, as a consequence of backscattering by the random inhomogeneities of the medium, the mean energy flux decreases more rapidly with range than it would due to absorption alone. This more rapid rate of decrease of the mean energy flux with range can be regarded as an excess attenuation of the wave as a result of the randomness of the medium. An interpretation of this result in terms of energy conservation is given. [Work sponsored by NORDA.]
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