Statistical peculiarities of cooperative radiation produced by non-isochronous electrons-oscillators

Abstract

We consider the effects of shot noise and particle energy spread on statistical properties of cooperative radiation emitted by the ensemble of non-isochronous electrons-oscillators. In the absence of energy spread, we found the root-mean-square deviation of both peak radiated power and self-phasing time as a function of the number of particles. It is shown that even insignificant energy spread (\(\sim\)4%) can lead to a sharp drop in the maximum attainable radiated power of cooperative radiation.