We discuss the theory of X-ray scattering from multilayers with confor
mal roughness of the interfaces, and illustrate with an analysis of sp
ecular, diffuse and wide-angle scattering from a GaAs/AlAs multilayer.
This is a highly coherent multilayer structure deposited on a stepped
, but otherwise smooth surface. The roughness due to the steps propaga
tes through the layers and a distinct anisotropy is observed in the di
ffuse scattering. We discuss a method to treat diffuse scattering from
such surfaces with slightly irregular steps.