Nonlinear theory of the stimulated scattering of electromagnetic waves by relativistic electron-oscillator beams moving in a homogeneous magnetic field

A self-consistent system of averaged equations is obtained which describes the stimulated collinear scattering of plane electromagnetic waves by an electron flux formed by relativistic electrons moving in a homogeneous magnetic field along helical paths. The effect of the transverse rotational velocity of the particles on the scattered wave increments and electron efficiency is investigated. The stimulated undulating radiation is treated as a particular case of stimulated scattering corresponding to the limit of a zero-frequency pump wave.