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arXiv · 2501.00044

Doppler effect in vacuum and medium in X-ray range

A. Shchagin·G. Kube·A. Potylitsyn·S. Strokov
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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.

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A. Shchagin, G. Kube, A. Potylitsyn, S. Strokov. 2024-12-25. Doppler effect in vacuum and medium in X-ray range. https://doi.org/10.1016/j.nima.2025.170235

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