PHASE DETERMINATION IN X-RAY AND NEUTRON REFLECTIVITY USING LOGARITHMIC DISPERSION-RELATIONS

被引:55
作者
CLINTON, WL
机构
[1] Department of Physics, Georgetown University, Washington
关键词
D O I
10.1103/PhysRevB.48.1
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Logarithmic dispersion relations are shown to be applicable to the determination of the phase of the structure factor of surface layers probed by neutron and x-ray reflectivity. For certain profiles it is shown that the phase PHI(q) of the structure factor F(q) is determined entirely by the observed reflectivity R(q) through the modified Hilbert transform PHI(q)=2q/pi integral-infinity/0 ln[\F(q')\/\F(q)\]/(q2-q'2)dq', where q is the momentum transfer, and F(q) is related to R(q) and the Fresnel reflectivity via R(q)=R(F)(q)\F(q)\2.
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页码:1 / 5
页数:5
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