Issues

 / 

2015

 / 

August

  

Methodological notes


Fresnel coefficients for parametric X-ray (Cherenkov) radiation

 a, b
a National Scientific Centre Kharkov Physicotechnical Institute, ul. Akademicheskaya 1, Kharkov, 310108, Ukraine
b Belgorod 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.

Text can be downloaded in Russian. English translation is available here.
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/
Citation: Shchagin A V "Fresnel coefficients for parametric X-ray (Cherenkov) radiation" Phys. Usp. 58 819–827 (2015)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 5th, September 2014, revised: 15th, January 2015, 22nd, April 2015

:    « () » 185 885–894 (2015); DOI: 10.3367/UFNr.0185.201508g.0885

© 1918–2019 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions