Efficient modeling of range-dependent ray convergence effects in propagation and reverberation

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.