Abstract
The electron dynamics in the inverse free-electron-laser (FEL) accelerator is investigated by a one-dimensional FEL simulation code. Changing the gradient of the wiggler-field tapering, the electron bunch length in acceleration buckets and the trapping fraction are found to vary. When an infrared laser of 60 GW is focused to a 280-\ensuremath{\mu}m-diam laser spot, the maximum acceleration rate reaches 100 MeV/m and the bunch length is about 1/14 of the laser wavelength. In multifrequency analysis, an unstable phenomenon is found that is due to the resonance between the synchrotron motion and beat of a broadband laser radiation. The resonance width for the instability is greater than O(0.1) of the synchrotron frequency when the sideband intensity is higher than a few percent of the carrier wave intensity.
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