Analysis and direct calculation of the energy migration interaction parameter in high concentration Nd 3+ doped YAG laser crystal

Abstract

The energy migration interaction parameter C DD in high concentration Nd 3+ doped YAG laser crystal was estimated using the Yokota-Tanimoto (Y-T) model and the spectral overlap model (SOM) of Kushida, respectively. Firstly, the experimental luminescence decay curves of 4F 3/2 state of Nd 3+ ions in YAG laser crystal at room temperature for 2.0at.% and 3.0at.% Nd 3+ concentrations reported by Mao were fitted successfully using the Y-T model, and the parameter C DD was obtained to be 1.50×10 −39 cm 6/s. Secondly, the parameter C DD was directly calculated using the spectral overlap model (SOM) of Kushida; C DD was calculated to be 2.73×10 −39 cm 6/s. By comparing the energy migration interaction parameter C DD with the energy transfer interaction parameter C DA (1.794×10 −40 cm 6/s), it was concluded that the energy migration rate between Nd 3+ ions in YAG laser crystal was about 11 times larger than the energy transfer rate, and that energy migration played a very important role in high concentration Nd 3+ -doped YAG laser crystal.