“…3 F 4 and 2.83 for 1 G 4 ! 3 H 6 , respectively, which are consistent with the reported values in the literature [15,18]. This means that the population of the levels 6 P J of Gd 3+ , 1 D 2 and 1 G 4 of Tm 3+ came from five-photon, four-photon, and three-photon upconversion processes, respectively.…”