Title variants
Languages of publication
Abstracts
The Takagi-Taupin equations, the fundamental equations for X-ray diffraction deduced from the Maxwell equations, are considered. The connection between the Takagi-Taupin equations and the Klein-Gordon equation is shown. A method of solution of these equations using external differential form formalism is proposed. The solutions for both a narrow and a wide incident beams as a function of boundary conditions is analyzed. The so-called spherical and quasi-plane waves used in the X-ray experimental methods are derived from.
Discipline
- 02.30.Jr: Partial differential equations
- 61.72.-y: Defects and impurities in crystals; microstructure(for radiation induced defects, see 61.80.-x; for defects in surfaces, interfaces, and thin films, see 68.35.Dv and 68.55.Ln; see also 85.40.Ry Impurity doping, diffusion, and ion implantation technology; for effects of crystal defects and doping on superconducting transition temperature, see 74.62.Dh)
Journal
Year
Volume
Issue
Pages
767-780
Physical description
Dates
published
2002-05
received
2001-08-31
Contributors
author
- Institute of Experimental Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland
References
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- 2. S. Takagi, J. Phys. Soc. Jpn., 26, 1239, 1969
- 3. I. Bialynicki-Birula, Z. Bialynicka-Birula, Quantum Electrodynamics, Oxford University Press, Oxford 1970
- 4. W.H. Zachariasen, Theory of X-Ray Diffraction in Crystals, Willey Sons, New York 1945
- 5. S. Takagi, unpublished results
- 6. L. Schwartz, Analyse mathématique, Hermann, Paris 1970
- 7. J. Gronkowski, J. Borowski, E. Zielinska-Rohozinska, Phiplos. Trans. R. Soc. Lond. A, 357, 2721, 1999
- 8. J. Borowski, Ph.D. Dissertation, University of Warsaw, Warsaw 1998 (in Polish)
- 9. V. Holý, Phys. Status Solidi B, 111, 341, 1982
- 10. A.R. Lang, Acta Metallurgica, 5, 358, 1957
- 11. G. Kowalski, M. Lefeld-Sosnowska, J. Gronkowski, J. Borowski, Philos. Trans. R. Soc. Lond. A, 357, 2707, 1999
- 12. J. Borowski, Comp. Materials Sci., 5, 286, 1996
- 13. J. Borowski, J. Gronkowski, J. Alloys Comp., 328, 211, 2001
- 14. N. Kato, Acta Crystallogr., 14, 526, 1961
- 15. N. Kato, Acta Crystallogr. A, 36, 770, 1980
- 16. J. Borowski, J. Gronkowski, J. Phys. D, Appl. Phys., 34, 3496, 2001
- 17. Z.G. Pinsker, Dynamical Scattering of X-Rays in Crystals, Springer-Verlag, Berlin 1978
- 18. A. Authier, D. Simon, Acta Crystallogr. A, 24, 517, 1968
- 19. A.M. Afanasév, V.G. Kohn, Acta Crystallogr. A, 27, 421, 1971
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv101n523kz