  Er-doped random fiber laser (ERFL) is a complex physical system, and
understanding its intrinsic physical mechanisms is crucial for promoting
applications. In this paper, we experimentally investigate the time-domain
statistical properties of ERFL under full-bandwidth condition for the first
time. We also analyze the effects of the transmission process and amplification
process on the output characteristics of ERFL, on the basis of which we realize
its regulation. This study guides RFL systems requiring transmission and
amplification, offering fresh insights for regulating the time-domain
stability.
