Stochastic-Mechanical Approach to Acoustic Pulse Propagation in the Deep Ocean Sound Channel

摘要

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.