Abstract
Asymmetrical Laue diffraction in a perfect crystal with a plane input surface is considered. The second derivatives of amplitudes in the direction, perpendicular to diffraction plane in the dynamical diffraction equations are taken into account. Using the corresponding Green function a general form of the amplitude of diffracted wave in the crystal is derived. The sizes of the source in both directions as well as the source-crystal distance and non-monochromaticity of the radiation incident on the crystal are considered. On the base of obtained expression the coherent properties of the field depending on sizes of source and on the width of the spectrum of the incident radiation are analyzed. Taking into account the second derivatives of amplitudes with respect to the direction, perpendicular to the diffraction plane, the time-dependent propagation equations for an X-ray pulse in a perfect crystal, are given.
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Original Russian Text © M.K. Balyan, 2014, published in Izvestiya NAN Armenii, Fizika, 2014, Vol. 49, No. 2, pp. 130–141.
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Balyan, M.K. X-ray Laue diffraction with allowance for second derivatives of amplitudes in dynamical diffraction equations. J. Contemp. Phys. 49, 80–87 (2014). https://doi.org/10.3103/S1068337214020078
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DOI: https://doi.org/10.3103/S1068337214020078