Modeling of the Dynamics of Non-radiative Energy Transfer in Tm³⁺, Tb³⁺: LiYF₄-Based Electronic Materials

Abstract

The fluorescent decay of the levels ³H₄ and ³F₄ of Tm³⁺ in LiYF₄ crystals doped with Tb³⁺ and Eu³⁺ was mathematically modeled to estimate the optimal doping levels to maximize the laser emission at 1.5 μm of the transition ³H₄ → ³F₄. The analysis is carried out both through the solution of the master energy transfer equations that govern the non-radiative processes of energy and Monte Carlo simulations. The analysis is improved with the experimental data of the fluorescence decay to include quadrupole and dipole interactions simultaneously. The importance of considering these interactions is that the optimal concentrations of impurities predicted for these luminescent systems are lower than those reported with the use of traditional models.