Abstract
The problem of transmission and reflection of X-rays (0.1 Å ≤ λ ≤ 10 Å) from an infinite amorphous homogeneous wedge-shaped dielectric plate has been analytically solved. The obtained solution is a “zero” step in solving the problem of X-ray diffraction on a semi-infinite amorphous homogeneous dielectric wedge within the heuristic geometric diffraction theory.
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References
M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1964).
M. A. Andreeva and R. N. Kuz’min, Mössbauer and X-Ray Surface Optics (Moscow, 1996).
M. A. Andreeva, S. F. Borisova, and S. A. Stepanov, Poverkhn.: Fiz., Khim., Mekh., No. 4, 5 (1985).
L. G. Parratt, Phys. Rev. 95, 359 (1954).
A. V. Kolpakov, Dynamic X-Ray Diffraction (Mosk. Gos. Univ., Moscow, 1989).
I. R. Prudnikov, Phys. Status Solidi (B) 217, 725 (2000).
S. A. Stepanov, E. A. Kondrashkina, R. Koehler, et al., Phys.Rev.B 57, 4829 (1998).
S. A. Stepanov and S. K. Sinha, Phys. Rev. B 61, 15302 (2000).
V. A. Bushuev and A. P. Oreshko, Poverkhnost, No. 1, 67 (2002).
A. P. Oreshko and V. A. Bushuev, Moscow Univ. Phys. Bull. 58(5), 49 (2003).
E. E. Odintsova and M. A. Andreeva, J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech. 4, 913 (2010).
M. A. Andreeva, R. A. Baulin, and Y. L. Repchenko, J. Synchrotron Radiat. 26, 483 (2019).
I. V. Kozhevnikov, Doctoral Dissertation in Mathematics and Physics (Shubnikov Inst. of Crystallography, Russ. Acad. Sci., Moscow, 2013).
A. Sommerfeld, Math. Ann. 47, 317 (1896).
A. F. Kryachko, V. M. Likhachev, S. N. Smirnov, and A. I. Stashkevich, Theory of Scattering of Electromagnetic Waves in Angular Structures (Nauka, St. Petersburg, 2009).
E. I. Nefedov, Diffraction of Electromagnetic Waves on Dielectric Structures (Nauka, Moscow, 1979).
V. A. Borovikov and B. E. Kinber, Geometric Diffraction Theory (Svyaz’, Moscow, 1978).
G. Gennarelli and G. Riccio, Int. J. Antennas Propag. 2012, 151287 (2012).
E. N. Vasil’ev and V. V. Solodukhov, Radiophys. Quantum Electron. 17, 1161 (1974).
E. N. Vasil’ev and V. V. Solodukhov, Preprint No. 25 (397) (Inst. of Radio Engineering and Electronics, USSR Acad. Sci., Moscow, 1984).
J. F. Rouviere, N. Douchin, and P. F. Combes, IEEE Trans. Antennas Propag. 47, 1702 (1999).
A. A. Komarov, Candidate’s Dissertation in Engineering (Moscow Power Engineering Inst., Moscow, 2013).
A. G. Shabalin, O. M. Yefanov, V. L. Nosik, et al., Phys. Rev. B 96, 064111 (2017).
S. I. Kolosov, Candidate’s Dissertation in Mathematics and Physics (Komi Science Centre, Russ. Acad. Sci., Syktyvkar, 2015).
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1992).
V. A. Kizel’, Re flection of Light (Nauka, Moscow, 1973).
F. Goos and H. Lindberg-Hänchen, Ann. Phys. 436, 333 (1947).
L. M. Brekhovskikh, Usp. Fiz. Nauk 50, 539 (1953).
K. Artmann, Ann. Phys. 437, 87 (1948).
V. A. Bushuev and A. I. Frank, Phys.-Usp. 61, 952 (2018).
Funding
This study was supported in part by the Russian Foundation for Basic Research, project nos. 19-02-00483 and 19-52-12029. The work was carried out using the equipment of the Center for Collective Use of Super High-Performance Computing Resources of the Moscow State University and the collective use center Complex for Modeling and Data Processing of Mega-Class Research Facilities of the Kurchatov Institute.
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Russian Text © The Author(s), 2019, published in Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2019, No. 6, pp. 81–84.
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Oreshko, A.P. X-Ray Transmission through Infinite Dielectric Wedge-Shaped Objects. Moscow Univ. Phys. 74, 657–661 (2019). https://doi.org/10.3103/S0027134919060213
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DOI: https://doi.org/10.3103/S0027134919060213