The problem of electromagnetic wave scattering by a slightly rough interfac
e in an arbitrarily layered medium is solved by a small-perturbation method
. The bistatic amplitude of scattering as well as the scattering cross sect
ions for statistically rough surfaces are calculated for linear polarized w
aves. Along with scattering into up-going waves in a homogeneous medium and
scattering cross sections in down-going waves into a layered medium, scatt
ering amplitudes from a rough interface in the arbitrarily layered medium a
re obtained.