X-ray resonant magnetic scattering from structurally and magnetically rough interfaces in multilayered systems I. Specular reflectivity

摘要

The theoretical formulation of x-ray resonant magnetic scattering from roughsurfaces and interfaces is given for specular reflectivity. A generalexpression is derived for both structurally and magnetically rough interfacesin the distorted-wave Born approximation (DWBA) as the framework of the theory.For this purpose, we have defined a ``structural'' and a ``magnetic'' interfaceto represent the actual interfaces. A generalization of the well-knownNevot-Croce formula for specular reflectivity is obtained for the case of asingle rough magnetic interface using the self-consistent method. Finally, 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 with numerical examples and compared with experimental results ofmagnetic reflectivity from a Gd/Fe multilayer.