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Proceedings Paper

Betatron-Synchrotron Resonances In Free Electron Laser
Author(s): Yi-jin Shi
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Paper 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.

Paper Details

Date Published: 18 November 1989
PDF: 2 pages
Proc. SPIE 1039, 13th Intl Conf on Infrared and Millimeter Waves, (18 November 1989); doi: 10.1117/12.978345
Show Author Affiliations
Yi-jin Shi, Institute of Atomic Energy (China)

Published in SPIE Proceedings Vol. 1039:
13th Intl Conf on Infrared and Millimeter Waves
Richard J. Temkin, Editor(s)

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