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The dynamic theory of coherent X-rays of a relativistic electron crossing a single-crystal target in the Laue scattering geometry is discussed. In [1] Expressions describing the spectral-angular characteristics of radiation in the direction of Bragg scattering are obtained and investigated by the author of the present work. The radiation is considered as a result of coherent addition of the contributions of two radiation mechanisms parametric X-ray (PXR) and diffracted transitional (DTR). The calculations showed that in the case when the diffracting atomic planes in the target are located relative to the target surface at an angle of, a noticeable difference is observed in the results of the calculation of the spectral-angular density of the PXR within the dynamical theory and the kinematical one (reflection asymmetry effect). The analysis showed that the main cause of this effect is the absent in the kinematic theory of the dependence of the width of the PRI spectrum on the asymmetry angle. In [2], good agreement between the developed dynamic theory and experiment [3], which was carried out under conditions of asymmetric reflection of the Coulomb field of an electron on a single-crystal target, was shown.
1.S.V. Blazhevich, G.A. Grazhdankin, R.A. Zagorodnyuk, A.V. Noskov //Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Volume 355, 15 July 2015, Pages 170-174.
2.S.V. Blazhevich, A.V. Noskov, //Nuclear Inst, and Methods in Physics Research B 441 (2019) 119.
3.Y. Takabayashi, K.B. Korotchenko, Yu.L. Pivovarov, T.A. Tukhfatullin, //Nucl. Instr. Meth. B 402 (2017) 79.