Klein-Gordon Formulation of X-ray Diffraction in the Laue Case
J. Borowski
Institute of Experimental Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland
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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.
DOI: 10.12693/APhysPolA.101.767
PACS numbers: 61.10.Dp, 02.30.Jr, 61.72.-y