Abstract
The seminal papers of Dozier and Tappert (1978), Dozier (1983), and Creamer (1996) have analyzed mode coupling induced by a random ocean sound speed structure to derive transport equations for the range evolution of mean mode energy. A major assumption in this work is that the cross‐mode coherences rapidly decay with range and can thus be ignored. Theoretical predictions of mode energy have been compared to a direct Monte Carlo simulation, yielding favorable results [Dozier and Tappert (1978) and Creamer (1996)], so the general accuracy of the transport equations cannot be questioned. However, if the observable of interest is the mean acoustic intensity, one will quickly realize that the cross‐mode coherences do not decay rapidly with range and thus need to be estimated for accurate acoustic predictions; an example from deep ocean propagation will be provided. This paper presents a theoretical framework for computing cross‐mode coherences and demonstrates why the coherences are not important for the evolution of mode energy.
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