Abstract
In order to study the propagation of acoustic energy in a time-varying inhomogeneous medium, such as the ocean, a mathematical model has been proposed and simulated on a digital computer. Basically, the ocean is represented by piecewise continuous-velocity profiles that can have certain random variations about a mean profile. The random variations in the properties of the medium are generated by Monte Carlo methods. Under ray theoretical approximations, the medium behaves as a Markov chain. This model appears capable of predicting the statistics of the observed variations in travel time, depth, arrival angle, and fading as a function of distance between the source and the receiver. [Hudson Laboratories of Columbia University Informal Documentation No. 83. Work supported by the U. S. Office of Naval Research.]
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