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This paper considers the possible amplification in dielectric media of x-ray and vacuum ultraviolet radiation by electron beams. The medium can be a uniform dielectric resulting in stimulated Cherenkov radiation or a periodic, inhomogenious dielectric resulting in stimulated transition radiation. Two distinct geometries for resonators are considered. In one case, a simple confocal resonator is placed at an oblique-angle to the electron beam. In the other, a conical mirror is used to reflect the entire radiation cone back onto the electron beam. The small signal gain for a short interaction length is found for both these cases to vary linearly with frequency resulting in higher gain for shorter wavelengths.
M. A. Piestrup andP. F. Finman
"Media Free Electron Lasers For The Production Of Vuv And X-Ray Radiation", Proc. SPIE 0453, Free-Electron Generators of Coherent Radiation, (16 February 1984); https://doi.org/10.1117/12.947125
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M. A. Piestrup, P. F. Finman, "Media Free Electron Lasers For The Production Of Vuv And X-Ray Radiation," Proc. SPIE 0453, Free-Electron Generators of Coherent Radiation, (16 February 1984); https://doi.org/10.1117/12.947125