In an earlier paper [Harrison (2013). J. Acoust. Soc. Am. 133, 3777–3789] the computationally efficient energy flux approach to modeling sound propagation was modified to include focusing, ray convergence, and caustic-like behavior. The derivation started with the coherent normal mode sum but retained only terms that interfered on a scale of a ray cycle distance. Here, by starting with the adiabatic mode sum, the formulation is extended to a slowly varying range-dependent environment and applied to the target-echo and reverberation model, Artemis. Some examples are given.

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