Perpendicular transport through an interface in the metallic regime is
considered. The semiclassical theory presented is based on the Landau
er-Buttiker formalism, it generalises previous work by taking into acc
ount an effective mass mismatch at the interface and a non-zero averag
e of random scattering potentials. The transmission probability for a
given mode is found in terms of the effective mass and the conduction
band profile to the left and to the right of the interface, the Fermi
energy, the self-energy of the electron, and the transverse wave vecto
r of the electron. The diffuse and specular contributions to the inter
face roughness scattering are shown to be equally important in the wea
k scattering limit. Predictions for the transort properties of interfa
ces with a low concentration of strongly scattering defects should be
accessible to verification by experiments. The theory is applied to th
e spin-valve effect in magnetic multilayers.