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We analyze the problems associated with the generation of coherent radiatio
n by an e beam, traversing an undulator magnet, with an initial energy-phas
e correlation. The mechanisms of the process are explained and the role pla
yed by the bunching is clarified. The effect of the correlation on the stim
ulated part of the emission is also discussed. (C) 1999 American Institute
of Physics. [S0021-8979(99)07715-4].