We report the observation of stimulated Brillouin scattering and lasing at1550~nm in barium fluoride (BaF$_2$) crystal. Brillouin lasing was achievedwith ultra-high quality ($Q$) factor monolithic whispering gallery mode (WGM)mm-size disk resonators. Overmoded resonators were specifically used to providecavity resonances for both the pump and all Brillouin Stokes waves. Single andmultiple Brillouin Stokes radiations with frequency shift ranging from $8.2$GHz up to $49$ GHz have been generated through cascaded Brillouin lasing.BaF$_2$ resonator-based Brillouin lasing can find potential applications forhigh-coherence lasers and microwave photonics.
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