Abstract
A new theory of low‐frequency deep ocean propagation has been developed based on the radiation transport for randomly fluctuating oceans. Using the Fokker‐Planck approximation and a novel ray‐bundle approximation, we have derived analytic solutions for the means and spreads of arrivals. The mean arrival is predicted to differ significantly from the unscattered arrival, but the spreads are predicted to be greatly suppressed relative to spreads in an unchanneled medium. Thus the “3/2 law” of Chernov becomes a “1/2 law” due to the sound channel itself. Further, a new Λ parameter has been derived which is nonsingular at caustics and saturates at small values at large range. [Work supported by ONR and NSE.]
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