In the SBS (stimulated Brillouin scattering) amplifier the focused Gaussian beams of 1.064 μm and 0.532 μm were used as pump lasers and SBS characteristics in different medium were simulated. Through study of SBS amplifier of self-Stokes-seeding, it is found that CaF2 can be damaged more easily than fused silica or BK7 glass in SBS process. For focused pump laser, SBS may damage material from front surface. For engineering purpose, effect of energy reflectivity, pulse compression and fidelity in different SBS materials were compared. For lower energy, CaF2 has better pulse compression but worse energy reflectivity and fidelity than fused silica or BK7, while when pumping energy is high enough, the characteristics are reverse.