Abstract
Transition radiation occurs when a moving charged particle crosses a boundary between two media with different electrodynamic properties. In its simplest form, which is commonly used in experiments, transition radiation is generated by sending a beam through a metallic foil. In this chapter, we will derive the spectrum and angular distribution of the transition radiation when a particle crosses a foil at normal incidence. We will also discuss radiation generated by the beam when it passes through a hole in a metal foil — the so-called diffraction radiation.
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Notes
- 1.
If the charge passes through the foil and exits to the region \(z>h\), there is transition radiation in this region of space as well. It can be solved by the same method of image charges.
Reference
Z. Huang, G. Stupakov, M. Zolotorev, Calculation and optimization of laser acceleration in vacuum. Phys. Rev. ST Accel. Beams 7, 011302 (2004)
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Stupakov, G., Penn, G. (2018). Transition and Diffraction Radiation. In: Classical Mechanics and Electromagnetism in Accelerator Physics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-90188-6_17
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DOI: https://doi.org/10.1007/978-3-319-90188-6_17
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