Abstract
The question of exciting free electron lasers (FEL) using previously formed compact electron bunches is examined. These bunches are created in the first section of the device as a result of amplifying a beam by an intense low-frequency wave. Accompanying the wave with this beam in the second section, where excitation of a high frequency wave by a multiple frequency occurs, permits maintaining the bunches compact along an arbitrary length. As a result of numerical calculations, conditions are determined for which not only a significant share of the energy of the beam is transferred to the high-frequency wave, but also a noticeable portion of the energy of the low frequency wave. Thus, the topic is the potential for creating unique FEL-frequency multipliers, in which a relatively low-power electron beam pumps energy of a low-frequency wave into energy of a high-frequency wave.
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