Abstract
Parametric X radiation, emitted in opposite direction of an electron which traverses a semi infinite single crystal on a hypothetical straight trajectory, features a Lorentzian line shape with extremely narrow width. However, small angle scattering of the electron in the Coulomb potential of the crystal atoms results in a stochastic change of the electron direction. The latter leads to a line broadening which can be understood essentially as a stochastic frequency modulation of the exponentially damped wave train. The line shape has been calculated analytically by well known probabilistic methods. Results are quoted for various reflections of a silicon single crystal at an electron beam energy of 855 MeV.
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Backe, H., Kube, G., Lauth, W. (2002). On the Line Shape of Backward Emitted Parametric X-Radiation. In: Wiedemann, H. (eds) Electron-Photon Interaction in Dense Media. NATO Science Series, vol 49. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0367-4_11
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DOI: https://doi.org/10.1007/978-94-010-0367-4_11
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