On the limits of induced radiation concept in FELs

We discuss a restriction of the induced radiation concept in classical beam systems due to accompanying spontaneous radiation (radiation friction). For short wave FELs, spontaneous radiation renders a noticeable influence on the phasing of particles, which is the base mechanism of induced radiation in classical systems. It leads to an essential restriction on the radiating system length and gain which cannot be compensated by an increase in the beam current. The text was submitted by the authors in English.