Energy transfer and fluorescence characteristics of erbium-doped ytterbium aluminum garnet

We have examined the fluorescence characteristics of the garnet-type crystal Yb₃Al₅O₁₂ : Er³⁺ (YbAlG : Er³⁺) and studied the energy transfer process between the two rare earth ions over a temperature range 78–297 K. Certain data were compared with those of YAlG : Er³⁺. In YbAlG : Er³⁺, Yb fluorescence is observed at ?1.03 μm (corresponding to the ²F_5/2 → ²F_7/2 transition); Er fluorescence occurs at ?8500 Å (⁴S_3/2 → ⁴I_13/2 transition) and ?1.6 μm (⁴I_13/2 → ⁴I_15/2 transition). In YAlG : Er³⁺, the same Er lines are observed with the addition of a band at ?1 μ (⁴I_11/2→⁴I_15/2 transition). In YbAlG : Er³⁺, the decay pattern of the Yb emission is purely exponential at all the temperatures examined; the fluorescence lifetime ranges from 36 μ s (at 78 K) to 74 μs(at 269 K). The lifetime of the Er⁴I_13/2 level in the same sample increases from 5.4 ms (at 78 K) to 6.85 ms (at 294 K). The lifetime of this Er level in YAlG : Er³⁺ is weakly temperature dependent over the same range with a value of ?12 ms. Excitation spectra were obtained for the Er 1.53 μm fluorescence in YbAlG : Er³⁺ in order to verify the presence of Yb → Er energy transfer in this sample. The presence of the Yb absorption band (?1 μm) in these spectra provides direct evidence of this energy transfer. The relative enhancement of this Yb band with respect to the Er bands in going from 78 K to 175 K is an indication of a more efficient transfer at the higher temperature. Excitation spectra obtained for the Yb 1.03 μm fluorescence in YbAlG : Er³⁺ revealed the presence of Er → Yb energy transfer as well in this sample. The existence of both Yb → Er and Er → Yb transfer is expected, due to the resonance between the ⁴I_11/2 → ⁴I_15/2 transition of Er and the ²F_5/2 → ²F_7/2 transition of Yb. The above results are explained in terms of a rate equation model in which transfer in both directions is treated in the following manner: Yb → Er transfer is considered to be much more probable than decay processes originating at the Yb ²F_5/2 level; Er → Yb transfer is treated as much more probable than decay processes originating at the Er ⁴I_11/2 level.