Random matrix theory for an adiabatically-varying oceanic acoustic waveguide

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Problem of sound propagation in the ocean is considered. A novel approach of K. Hegewisch and S. Tomsovic for statistical modelling of acoustic wavefields in the random ocean is examined. The approach is based on construction of a wavefield propagator by means of random matrix theory. It is shown that this approach can be generalized onto acoustic waveguides with adiabatic longitudinal variations. Efficient generalization is obtained by means of stepwise approximation of the propagator. Accuracy of the generalized approach is confirmed numerically for a model of an underwater sound channel crossing a cold synoptic eddy. It is found that the eddy leads to substantial suppression of sound scattering.