Characterization and regulation of statistical properties in Er-doped random fiber laser

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.