Fluctuation-induced linewidth in oscillator FEL

Due to relatively small number of microscopic radiators, the noise (spontaneous emission contribution to the radiation field) level in free electron lasers (FELs) is much more than in other types of lasers. The influence of this noise on the FEL linewidth is considered. A low gain optical klystron model is used. It is shown that in the most of practically interesting cases the noise-induced linewidth is negligible.