By Jonathan C Smith (ed.)

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12,14]. Here, Fig. 2 shows the Huygens construction for formation and focusing of the PXR wavetrain from a bent crystal. The spherical wavefronts are going from the points, where the particle crosses the crystallographic planes denoted by the reciprocal lattice G vector g1 . They are going to the focuses with a phase difference divisible by 2S and form the PXR wavetrain. For brevity, here we call such formation as the PXR focusing. Evidently, that the PXR energy (frequency) in the radial direction is the same as the energy (frequency) for the PXR at a right angle V =g1 .

Gatignon, P. Grafström, U. Mikkelsen, A. Freund, Z. Vilakazi, P. Siffert, M. Hage-Ali, New results from the CERN-SPS beam deflection experiments with bent crystals, Nucl. Instr. and Meth. B 119, 172180 (1996). 8. N. Doble, L. Gatigton, P. Grafstrom, A novel application of bent crystal channeling to the production of simultaneous particle beams, Nucl. Instr. and Meth. B 119, 181190 (1996). 9. T. Murphy, R. Carrigan, D. Chen, G. Jackson, N. -J. Shih, B. Cox, V. Golovatyuk, A. McManus, A. Bogacz, D.

D. M. Lugovskaya diffraction have been formulated in [1]. The influence of the dynamical effects on the formation of the fine structure of the PXR peaks was considered for the forward direction [2, 3], for the highly asymmetrical case [4], for the degenerate diffraction in the case of backward Bragg geometry [5]. The possible advantages and shortages of the PXR as the source of Xrays in comparison with other radiation mechanisms in the same wavelength range were discussed in [6]. It has been also shown that PXR could be mainly important for the spectral sensitive applications, that is, for the cases when the only high spectral intensity in the narrow wavelength range is important.

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