Parametric X-ray (Cherenkov) radiation (PXR) is considered as resulting from the crystal diffraction of virtual photons associated with a relativistic charged particle moving through the crystal. Formulas for PXR Fresnel coefficients are obtained in a kinematic approach, whose applicability is discussed. The derivation of the version of kinematic RXR theory using the Fresnel coefficients is described. Also using these coefficients, analytical expressions for the frequency, spectral peak width, differential by angles yield and polarization of PXR are obtained and shown to compare well with the kinematic PXR theory of Ter-Mikaelian and with experimental PXR reflection studies.

Keywords: parametric X-ray radiation, Fresnel coefficients, virtual photons, crystal diffraction PACS: 41.20.Jb, 41.60.−m, 42.25.Bs, 61.80.Cb (all) DOI: 10.3367/UFNe.0185.201508g.0885 URL: https://ufn.ru/en/articles/2015/8/f/ 000364717300006 2-s2.0-84947721041 2015PhyU...58..819S Citation: Shchagin A V "Fresnel coefficients for parametric X-ray (Cherenkov) radiation" Phys. Usp. 58 819–827 (2015) BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks PT Journal Article TI Fresnel coefficients for parametric X-ray (Cherenkov) radiation AU Shchagin A V FAU Shchagin AV DP 10 Aug, 2015 TA Phys. Usp. VI 58 IP 8 PG 819-827 RX 10.3367/UFNe.0185.201508g.0885 URL https://ufn.ru/en/articles/2015/8/f/ SO Phys. Usp. 2015 Aug 10;58(8):819-827 Received: 5th, September 2014, revised: 15th, January 2015, accepted: 22nd, April 2015 Оригинал: Щагин А В «Коэффициенты Френеля для параметрического рентгеновского (черенковского) излучения» УФН 185 885–894 (2015); DOI: 10.3367/UFNr.0185.201508g.0885