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The theoretical formulation of x-ray resonant magnetic scattering from roughsurfaces and interfaces is given for the diffuse (off-specular) scattering, andgeneral expressions are derived in both the Born approximation (BA) and thedistorted-wave Born approximation (DWBA) for both single and multipleinterfaces. We also give in the BA the expression for off-specular magneticscattering from magnetic domains. For this purpose, structural and magneticinterfaces are defined in terms of roughness parameters related to theirheight-height correlation functions and the correlations between them. Theresults are generalized to the case of multiple interfaces, as in the case ofthin films or multilayers. Theoretical calculations for each of the cases areillustrated as numerical examples and compared with experimental data ofmangetic diffuse scattering from a Gd/Fe multilayer.Comment: 28 pages, 5 figure

X-ray resonant magnetic scattering from structurally and magnetically rough interfaces in multilayered systems. II. Diffuse scattering