Geodesic
Features of diffraction focusing of a spherical $\mathrm{X}$-ray wave on a short period superlattice
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 113-116.

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of a dynamic diffraction of spherical $\mathrm{X}$-ray wave on a short period superlattice is considered theoretically. It is shown that a focusing of satellites occurred both at different depths of the superlattice and at different distances from the crystal in vacuum depending on the structural factors of the superlattice. The larger the structural factor of the satellite, the more deeply the wave in the crystal is focused and, respectively, the less is the focal length out of the crystal in vacuum.
Keywords: spherical $\mathrm{X}$-ray wave, superlattice.
Mots-clés : dynamical diffraction 
@article{UZERU_2017_51_1_a21,
     author = {L. V. Levonyan and H. M. Manukyan},
     title = {Features of diffraction focusing of a spherical $\mathrm{X}$-ray wave on a short period superlattice},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {113--116},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a21/}
}
TY  - JOUR
AU  - L. V. Levonyan
AU  - H. M. Manukyan
TI  - Features of diffraction focusing of a spherical $\mathrm{X}$-ray wave on a short period superlattice
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2017
SP  - 113
EP  - 116
VL  - 51
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a21/
LA  - en
ID  - UZERU_2017_51_1_a21
ER  - 
%0 Journal Article
%A L. V. Levonyan
%A H. M. Manukyan
%T Features of diffraction focusing of a spherical $\mathrm{X}$-ray wave on a short period superlattice
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2017
%P 113-116
%V 51
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a21/
%G en
%F UZERU_2017_51_1_a21
L. V. Levonyan; H. M. Manukyan. Features of diffraction focusing of a spherical $\mathrm{X}$-ray wave on a short period superlattice. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 113-116. http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a21/

[1] V. Holy, J. Stangl, G. Springholz et al., “High-Resolution $\mathrm{X}$-ray Diffraction from Self-Organized PbSe/PbEuTe Quantum Dot Superlattices”, J. Phys. D: Appl. Phys., 34 (2001), A1–A5 | DOI

[2] T. Roch, V. Holy, A. Daniel et al., “$\mathrm{X}$-ray Studies on Self-Organized Wires in SiGe/Si Multilayers”, J. Phys. D: Appl. Phys., 34 (2001), A6–A11 | DOI

[3] O.Maksimov, J.Steinshnider, M.Weimer, R. Kaspi, “Assessment of Structural Properties of InAs/GaSbSuperlattice by Double Crystal $\mathrm{X}$-ray Diffraction and Cross-Sectional Scanning Tunnelling Microscopy”, Bulg. J. Phys., 31 (2004), 204–212

[4] C. Engström, J. Birch et al., “Interdiffusion Studies of Single Crystal TiN/NbNSuperlattice ThinFilms”, J. Vac. Sci. Technol. A, 17 (1999), 2920 | DOI

[5] A.M. Afanasyev, A.A. Zaytsev, R.M. Imamov, “$\mathrm{X}$-ray Diffraction Study of the Interfacesbetween Layers of the Superlattice AlAs-Ga1-xAlxAs”, Kristalografiya, 43:1 (1998), 139–143 (in Russian)

[6] A.M. Afanasyev, V.G. Kohn, “Dynamic Theory of Diffraction of Spherical $\mathrm{X}$-ray Wave”, FTT, 19 (1977), 1775–1783 (in Russian)

[7] V.V. Aristov, V.I.Polovinkina, A.M.Afanas’ev, V.G. Kohn, “Pendellösung Fringes for $\mathrm{X}$-ray Spherical-Wave Diffraction in a Perfect Crystal”, ActaCryst., A36 (1980), 1002–1013

[8] L.V. Levonyan, “On the Diffraction Focusing of $\mathrm{X}$-rays”, Pis’ma v JTF, 7 (1981), 269–272 (in Russian)

[9] L.V. Levonian, “Interference Fringes of Intrabranch Scattering for $\mathrm{X}$-ray Spherical-WaveDiffraction in a Perfect Crystal”, Phys. Stat. Sol. A, 68 (1981), K199–K202 | DOI

[10] D.M. Vardanyan, H.M. Manoukyan, H.M. Petrosyan, “The Dynamic Theory of $\mathrm{X}$-rayDiffraction by the One-Dimensional Ideal Superlattice: I. Diffraction by the ArbitrarySuperlattice”, ActaCryst. A, 41 (1985), 212

[11] Z.G. Pinsker, $\mathrm{X}$-ray Crystal Optics, Nauka, M., 1982 (in Russian)

[12] D.M. Vardanyan, H.M. Manoukyan, H.M. Petrosyan, “The Dynamic Theory of $\mathrm{X}$-rayDiffraction by the One-Dimensional Ideal Superlattice: II. Calculation of Structure Factors forSome Superlattice Models”, ActaCryst. A, 41 (1985), 218

[13] G.N. Watson, A Treatis on the Theory of Bessel Functions, Cambridge Univ. Press, 1944 | MR