Fresnel coefficients for parametric X-ray (Cherenkov) radiation
A.V. Shchagina,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.