# Nonlinear self-consistent theory of two-stream superheterodyne free electon lasers

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## Abstract

A nonlinear self-consistent theory of superheterodyne two-stream FEL-amplifiers was developed. These FELs are based on application as a working effect two-stream instability jointly with parametric interaction mechanism traditional for FEL. It was found out possible to develop FEL-amplifiers with amplification levels of approximately 20–30 db (by amplitude) in am IR ranges at moderate requirements for REB (beam current of 4–5 A, accelerating voltage of ≤1 MV). Predicted are realization of the effect of generation of longitudinal electric field and its important role at the nonlinear stage of a signal amplifying process. It was shown that some other nonlinear effects can also be realized.

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© Plenum Publishing Corporation 1994