“…By far, various Er 3+ -doped gain materials had been reported, such as the garnet (crystals and ceramics) YAG [5], GGG [6], LuGG [7], YGG [8], YSGG [9][10][11][12], GSGG [13,14], the sesquioxide (crystals and ceramics) Y 2 O 3 [15,16], Lu 2 O 3 [17], and the fluoride (crystals, ceramics, and fibers) CaF 2 [18,19], SrF 2 [20], LiYF 4 [21], ZBLAN [22]. However, the fluorescence lifetime of the upper laser level 4 I 11/2 is much shorter than that of the lower laser level 4 I 13/2 , which is considered to be self-terminating, making the population inversion difficult and impeding laser oscillations.…”