The specular and nonspecular x-ray reflectivity of a rough multilayer
is calculated on the basis of the distorted-wave Born approximation. T
he theory explains the existence of maxima in the angular distribution
of a nonspecularly reflected wave. The interface roughness has been c
haracterized by root-mean-square roughness, lateral correlation length
, and the fractal dimension of the interface. It has been demonstrated
that these parameters can be obtained from nonspecular reflectivity m
easurements. Calculations based on this theory compare well with data
measured on rough layered samples.