Abstract
We consider one of the FEL schemes in which the phase velocity of the electromagnetic wave (or the ponderomotive wave) is constant, but the longitudinal electron velocity is changed due to an external magnetic field. There is also an additional magnetic field which turns the electrons back before the interaction. It is shown that the efficiency of utilizing hot electron beams of large current density may be high enough in such systems with a refractive and an undulator medium.
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