Range-dependent ray-tracing model with a linear, hyperbolic cosine composite vertical profile

Abstract

A model based on the four section composite vertical profile reported in a previous paper [Weinberg, Clark, and Flanagan, J. Acoust. Soc. Am. 56, 447–458 (1974)] has been extended to include the effect of profile range dependency. The technique is computer efficient as each segment can be represented by a closed form solution. The parameters of interest, such as travel time, boundary losses, boundary phase shifts, and spreading losses, are included so that amplitude and phase of each arrival can be determined. By the use of variable range steps, the desired degree of accuracy can be achieved. This method is proving useful in the study of underwater acoustic propagation under the influence of ocean dynamic processes which exhibit range-dependent behavior.