Klein-Gordon Formulation of X-ray Diffraction in the Laue Cas

• Authors: J. Borowski
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

61.10.Dp; 02.30.Jr; 61.72.-y

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)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2002
• Volume: 101
• Issue: 5
• Pages: 767-780

Dates

published

2002-05

received

2001-08-31

Contributors

author

J. Borowski

• Institute of Experimental Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.101.767