  The problem of an electromagnetic wave scattered from a random medium layer
with rough boundaries is formulated using integral equations which involve two
kinds of Green functions. The first one describes the wave scattered by the
random medium and the rough boundaries, and the second one which corresponds to
the unperturbed Green functions describes the scattering by an homogeneous
layer with the rough boundaries. As these equations are formally similar to
classical equations used in scattering theory by an infinite random medium, we
will be able to apply standard procedures to calculate the coherent field. We
will use the coherent potential approximation where the correlations between
the particles will be taken into account under the quasi-crystalline
approximation.
