TY - JOUR
T1 - Darwin's theory for the grazing incidence geometry
AU - Yashiro, W.
AU - Ito, Y.
AU - Takahasi, M.
AU - Takahashi, T.
N1 - Funding Information:
The authors would like to thank Dr. T. Ishikawa and Dr. T. Emoto for helpful comments on the programs used for the calculations shown in the present paper, and Mr. H. Tajiri for his assistance. The authors also express their thanks to professor A. Ichimiya for helpful discussion. The present work is partly supported by a Grant-in-Aid for Scientific Research (nos. 09304035 and 09440151) from the Ministry of Education, Science, Sports and Culture.
PY - 2001/9/10
Y1 - 2001/9/10
N2 - Darwin's dynamical theory of X-ray diffraction was studied in the case of grazing incidence geometry. It was shown that in such geometry the Darwin theory is not correct. In the two-beam case, the reflectivity of the specular reflection calculated by the original Darwin's theory was slightly different from that calculated by the well-known Fresnel formula. Furthermore, in the three-beam case, there were large discrepancies between the calculations by the Darwin theory and those by the extended dynamical theory proposed by Kishino and Kohra. These discrepancies were resolved when multiple scattering in an atomic plane was taken into account.
AB - Darwin's dynamical theory of X-ray diffraction was studied in the case of grazing incidence geometry. It was shown that in such geometry the Darwin theory is not correct. In the two-beam case, the reflectivity of the specular reflection calculated by the original Darwin's theory was slightly different from that calculated by the well-known Fresnel formula. Furthermore, in the three-beam case, there were large discrepancies between the calculations by the Darwin theory and those by the extended dynamical theory proposed by Kishino and Kohra. These discrepancies were resolved when multiple scattering in an atomic plane was taken into account.
KW - Crystalline-amorphous interfaces
KW - Single crystal epitaxy
KW - Single crystal surfaces
KW - Superlattices
KW - Surface structure, morphology, roughness, and topography
KW - X-ray scattering, diffraction, and reflection
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U2 - 10.1016/S0039-6028(01)01367-X
DO - 10.1016/S0039-6028(01)01367-X
M3 - Article
AN - SCOPUS:0035840121
VL - 490
SP - 394
EP - 408
JO - Surface Science
JF - Surface Science
SN - 0039-6028
IS - 3
ER -