THE RANDOM ANALOG OF EPSTEINS TRANSITION LAYER

For a quasi-homogeneous, random medium with variance, varying along th e same direction as tanh, the mean Green function is obtained as an ex act solution of Dyson's equation in a bilocal approximation. The coher ent part of the held of a plane wave, falling on a bounded, randomly f luctuating medium with a non-sharp boundary, is studied in detail. In the case of small-scale fluctuations, a medium of this kind is shown t o be a random analogue of a transient Epstein layer.