Abstract
A transport equation has been derived to describe the range evolution of the single frequency cross mode coherence matrix including time separations. The theory assumes 2‐D propagation in the depth range plane, small angle, weak multiple forward scattering, and the Markov approximation, and it has been shown to accurately predict the observable of mean intensity for both deep and shallow water (i.e., strongly lossy) situations. This paper will present results for the acoustic observable time coherence and will address the issues of accuracy of the temporal coherence approximations, relative contributions from coupling and adiabatic effects, scaling with range and frequency, and the functional form of the coherence with regards to lag.
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