Betatron-Synchrotron Resonances In Free Electron Laser

Yi-jin Shi

doi:10.1117/12.978345

18 November 1989 Betatron-Synchrotron Resonances In Free Electron Laser

Yi-jin Shi

Proceedings Volume 1039, 13th Intl Conf on Infrared and Millimeter Waves; (1989) https://doi.org/10.1117/12.978345
Event: 13th International Conference on Infrared and Millimeter Waves, 1987, Honolulu, HI, United States

Abstract

In terms of Bogoliubov's nonlinear oscillation thoery, the first five betatron-synchrotron resonances of Ω=(p/q)2kβ=1/2,1,3/2,1/3,2/3 which may occur during laser satulation establishing process have been generally examined. Contrast to previous studies it is found that the most dangerous resonance does not take place in the vicinity of Ω=2kβ but in that of Ω=kβ. The width of region of Ω=kβ is proportional to ε with ε∝ (k2w/kβ)*emittance, the passing 'time' over the region due to he laser field being amplified is only one pass over the undulator at most and depends on the gain, and the increment of synchrotron amplitude in passing time is proportional to ε. In summary we conclude that the betatron-synchrotron resonances does not have any significant effect for detrapping off-axis electrons in a practical case.

Citation Download Citation

Yi-jin Shi "Betatron-Synchrotron Resonances In Free Electron Laser", Proc. SPIE 1039, 13th Intl Conf on Infrared and Millimeter Waves, (18 November 1989); https://doi.org/10.1117/12.978345

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