Doppler effect in vacuum and medium in X-ray range
arXiv:2501.00044 · doi:10.1016/j.nima.2025.170235
Abstract
This paper discusses the Doppler effect for radiation emitted by a relativistic oscillator in vacuum described geometrically as an ellipsoid in momentum space. Spectral and angular properties of the Doppler X-ray radiation emitted by a relativistic oscillator moving through a homogeneous medium are considered. Additionally, we show that radiation from an elementary relativistic charged particle interacting with periodic medium can be interpreted as a manifestation of the Doppler effect. Examples include parametric X-ray radiation, coherent bremsstrahlung, undulator radiation in crystalline or vacuum undulators, transition radiation from stacked foils, and Smith-Purcell radiation.
8 pages, 1 figure, conference "Channeling 2024"