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The current state of single frequency fiber laser technology based on different saturable absorbers(SA)is reviewed.The proposed and experimental fiber lasers used ytterbium-doped fiber(YDF)as the gain medium and the mode selection is done by Sagnac interferometer loop mirror filter(LMF)incorporated SA.In this paper,we review the experiment principle and process of SF fiber lasers utilizing different function materials as the SA,including the fabrication,features of the two-dimensional(2-D)materials(graphene and molybdenum disulfide film)SA.The SA is like a narrowband filter to ensure the longitudinal mode operation.Finally,we systematically analysis and compare the experimental result based on different SA.