I. Introduction
Random fiber lasers (RFLs) possess special characteristics including relatively simple technology (no need to build precise cavities), and low spatial or temporal coherence. They have been widely studied in recent years and show good potentials in various applications such as sensing, parallel imaging and microscopy [1]–[4]. However, most RFLs are based on backward Rayleigh scattering effect in single-mode fibers. The scattering coefficient is very low so long-distance fiber up to tens of km is usually required [5]–[9]