Abstract
A modified Monte Carlo procedure has been used to study the effects of random variation in a stratified sound-velocity structure upon sound rays passing through turning points. To represent the medium, a stack of many thin isovelocity layers are established with considerable overlap between the ranges of velocity variation in successive layers. To choose the variates, a pseudorandom sequence of numbers is generated in such a way that at each layer the finite ensemble of rays is angularly distributed like the infinite ensemble. Comparison tests on subgroups in an ensemble of 4224 rays show how representative the small ensemble can be. In sound channels of the most common velocity structure, the interaction of velocity gradient and variance (missing from the classic Chernov treatment) lead to the preponderant ray spreading taking place at the thermoclinic turning points. The various statistical details for short- and long-range ray paths show good correlation with experiments on fixed-distance transmission-time fluctuation.
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