Geodesic
Diffraction image of primary narrow $X$-ray beam in weakly deformed crystal
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 51-55 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Huygens–Fresnel principle for dynamical diffraction of $X$-rays in a crystal with weak deformation field of its space lattice is stated with a view to construction of the wave functions of diffracted beams in the crystal lattice at an arbitrary distance $r$ of the point source of primary radiation from the crystal. In particular, the well-known approximations of an incident spherical $(r = 0)$ and plane $(r\to\infty)$ waves result as the limiting cases of the problem under consideration. Some features of the interference absorption (the Borrmann effect) of $X$-ray wave packages in a crystal with weak field of lattice displacements were discussed.
Keywords: $X$-ray diffraction in crystals, $X$-ray scattering.
Mots-clés : anomalous absorption 
@article{UZERU_2012_3_a8,
     author = {G. R. Grig{\cyro}ryan},
     title = {Diffraction image of primary narrow $X$-ray beam in weakly deformed crystal},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {51--55},
     year = {2012},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2012_3_a8/}
}
TY  - JOUR
AU  - G. R. Grigоryan
TI  - Diffraction image of primary narrow $X$-ray beam in weakly deformed crystal
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2012
SP  - 51
EP  - 55
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/UZERU_2012_3_a8/
LA  - en
ID  - UZERU_2012_3_a8
ER  - 
%0 Journal Article
%A G. R. Grigоryan
%T Diffraction image of primary narrow $X$-ray beam in weakly deformed crystal
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2012
%P 51-55
%N 3
%U http://geodesic.mathdoc.fr/item/UZERU_2012_3_a8/
%G en
%F UZERU_2012_3_a8
G. R. Grigоryan. Diffraction image of primary narrow $X$-ray beam in weakly deformed crystal. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 51-55. http://geodesic.mathdoc.fr/item/UZERU_2012_3_a8/

[1] K.G. Truni, V.R. Kocharyan, G.R. Grigoryan, “On Interference Absorption of $X$-rays in Weakly Deformed Crystals”, Izv. NAN Armenii. Fizika, 47 (2012), 131–138 (in Russian)

[2] A. Authier, Dynamical Theory of $X$-ray Diffraction, Oxford University Press, NY, 2001

[3] L.A. Hourutunian, K.G. Truni, “Linear Trajectories Approximation in Geometrical Optics of Dynamic $X$-ray Diffraction”, Izv. NAN Armenii. Fizika, 34 (1999), 272–281 (in Russian)

[4] S. Takagi, “A Dynamical Theory of Diffraction for a Distorted Crystal”, Acta Crystallogr., 15 (1963), 1239–1253

[5] P.V. Petrashen', F.N. Chukhovskii, “Dynamical Scaterring of $X$-rays in a Crystal with Constant Deformation Gradient”, Sov. Phys. JETP, 2 (1975), 243–248

[6] V.L. Indenbom, F.N. Chukhovskii, “Imaging Problem in $X$-ray Optics”, UFN, 107 (1972), 229–265 (in Russian) | DOI

[7] E. Janke, F. Emde, F. Lösch, Special Functions, Nauka, M., 1968 (in Russian)

[8] L.V. Azaroff, R. Kaplow, N. Kato, R.J. Weiss, A.J.C. Wilson, R.A. Young, $X$-ray Diffraction, McGraw-Hill, NY, 1974