A Stochastic-Mechanical Approach to Acoustic Pulse Propagation in the Deep Ocean Sound Channel
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
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Using stochastic-mechanical methods borrowed from quantum physics, we study the average shape of an acoustic pulse from a source on the SOFAR axis as a function of range. As shown by Williamson, this shape is given by the graph of the probability density of travel time along a random ray. We sketch a possible approach to finding this probability density, and give a formula for its average value which predicts the known transition from near-range to far-range pulse shape.
- Physical and Dynamic Oceanography
- Statistics and Probability