2011/01/30 by Sándor Varró, Sandor Varro, Varro, Sandor
Engineering · Mathematics · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Magneto-Optical Properties and Applications #Particle Accelerators and Free-Electron Lasers #math-ph #math.MP #physics.acc-ph
paper · pdf · doi:10.48550/arxiv.1101.5811
Seven pages, one figure. Extended version of a talk delivered at: Third European Particle Accelerator Conference (Berlin, 24-28 March, 1992) Volume 1, pp 209-211. (Editors: H. Henke, H. Homeyer and Ch. Petit-Jean-Genaz, Edition Frontieres, 1992)
arxiv created 2011/01/30 · arxiv updated 2011/02/01
Exact solutions are given for the Maxwell equations driven by a gyrating ultrarelativistic electron inside a reflecting cylindrical boundary. The axis of the electrons's trajectory and the axis of the surrounding cylinder are supposed to coincide. It is found that, at certain values of the ratio of the cylinder's and of the trajectory's radii, the field amplitudes diverge as functions of time. The physical reason for this resonance is the constructive interference between the radiation emitted earlier and fed back by reflection to the actual position of the radiating electron.