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Phys. Rev. B 45, 602?612 (1992)
[Issue 2 ? 1 January 1992 ]
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Neutron scattering by rough surfaces at grazing incidence
Roger Pynn
Manuel Lujan, Jr. Neutron Scattering Center, Los Alamos National
Laboratory, Los Alamos, New Mexico 87545
Received 19 July 1991
There are a number of calculations in the literature of the effect of
statistical surface roughness on the specular and diffuse scattering of
neutrons and x rays which impinge on surfaces at grazing incidence.
These calculations do not agree with one another and in some cases lack
internal consistency. In this paper I show that these discrepancies can
be resolved within the distorted-wave Born approximation. The result I
obtain for the specular reflectivity is the widely used version of Nevot
and Croce, while that for the diffuse scattering is the same as a recent
calculation by Sinha, Sirota, Garoff, and Stanley. The approximations
made by Nevot and Croce are clearly revealed by the distorted-wave Born
approximation. A simple numerical algorithm is proposed for the
calculation of diffuse scattering from a surface whose roughness is
self-affine, and the form of the scattering is calculated for a range of
parameters within this model. The calculation of diffusion scattering is
extended in this paper to the case of films with rough surfaces.
Correlation between roughness at the two film surfaces is considered and
shown to be important for the description of neutron reflectivity data
obtained with a thin film of titanium deposited on a sapphire substrate.
©1992 The American Physical Society
URL: http://link.aps.org/abstract/PRB/v45/p602
DOI: 10.1103/PhysRevB.45.602
PACS: 61.12.Ex, 68.90.+g, 68.35.Bs
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References
(Reference links marked with dot may require a separate subscription.)
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