I. Introduction
Since their inception toward the end of the 20th century, random lasers, via multiple scattering in a disordered gain medium, have shown some intriguing properties that distinguish them from traditional fixed cavity structure lasers [1]–[3]. However, limited by low output power and poor directivity, random lasers are very difficult to apply practically. In the past decade, a novel one-dimensional random laser utilizing optical fiber as the medium has been proposed and studied in depth [4]–[7]. The random Raman fiber laser (RRFL) is based on Rayleigh scattering and amplified by stimulated Raman scattering (SRS). The waveguide structure of the fiber restricts scattering in the radial direction, leading to greatly enhanced directivity and a relatively low laser threshold, which makes RRFLs more applicable than other random laser designs.