Fresnel coefficients for parametric X-ray (Cherenkov) radiation

A.V. Shchagin^a, b
^aNational Scientific Centre ‘Kharkov Physicotechnical Institute’, ul. Akademicheskaya 1, Kharkov, 310108, Ukraine
^bBelgorod State University, Belgorod, Russian Federation

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/
Web of Science

000364717300006
Scopus

2-s2.0-84947721041
ADS NASA

2015PhyU...58..819S
Citation: Shchagin A V "Fresnel coefficients for parametric X-ray (Cherenkov) radiation" Phys. Usp. 58 819–827 (2015)

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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

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