1. Introduction . Q-switched and mode-locked pulse fiber lasers, known for their excellent heat dissipation, high beam quality, and operational stability, have found widespread applications in laser processing, micro-imaging, and optical communications [ 1 – 3 ]. Passive modulated fiber lasers based on real saturable absorbers (SA) have attracted significant attention from researchers due to their advantages of low cost, simplicity of operation, and all-fiber integration [ 4 , 5 ]. ...