2003/05/09 by D. R. Lee, Dong Ryeol Lee, D. Haskel +6 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Computational physics #Condensed matter physics #Generalization #Interface (matter) #Magnetic properties of thin films #Magneto-Optical Properties and Applications #Materials science #Mathematical analysis #Mathematics #Molecule #Optics #Physics #Quantum mechanics #Reflectivity #Scattering #Specular reflection #Surface Roughness and Optical Measurements #X-ray reflectivity #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.68.224409
44 pages, 10 figures
arxiv created 2003/05/09 · openalex publication_date 2003/12/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The theoretical formulation of x-ray resonant magnetic scattering from rough surfaces and interfaces is given for specular reflectivity. A general expression is derived for both structurally and magnetically rough interfaces in the distorted-wave Born approximation as the framework of the theory. For this purpose, we have defined a ``structural'' and a ``magnetic'' interface to represent the actual interfaces. A generalization of the well-known Nevot-Croce formula for specular reflectivity is obtained for the case of a single rough magnetic interface using the self-consistent method. Finally, the results are generalized to the case of multiple interfaces, as in the case of thin films or multilayers. Theoretical calculations for each of the cases are illustrated with numerical examples and compared with experimental results of magnetic reflectivity from a Gd/Fe multilayer.