X-ray reflection, strongly asymmetric x-ray diffraction and grazing in
cidence x-ray diffraction are extremely sensitive to the state of inte
rfaces of a layered sample. Random structural defects at the interface
s give rise to diffuse x-ray scattering. In this paper, the diffuse x-
ray scattering in all three arrangements has been described within a u
niform formalism by means of a distorted-wave Born approximation that
includes dynamical phenomena influencing the scattering process. The t
heory has been used for calculating the diffuse scattering from random
ly rough multilayers in all these experimental arrangements. In the ca
se of x-ray reflectivity, the results have been compared with experime
nts and good agreement has been achieved.