Abstract

The wave field radiated by a point source in a weakly inhomogeneous, weakly dissipative, one-dimensional random medium is considered. Approximate expressions for the mean intensity and mean energy flux as a function of propagation range, based on general results obtained previously, are derived for the limiting cases of low and high frequencies. These expressions show that, in both cases, the mean intensity and mean energy flux decrease more rapidly with range than would be the case in the absence of randomness. This more rapid rate of decrease with range can be interpreted as an excess attenuation. These results are similar to those obtained previously for the intermediate-frequency case. The excess-attenuation results are found to be consistent with observations.

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