According to Judd-Ofelt parameter calculation and energy transfer theo
ry, the cross-relaxation process of the Tm3+ ions is investigated. A f
our-level system of coupled rate equations is established to study the
fluorescence dynamics of Tm3+ in LiYF4 crystal. Attentions are focuse
d on the upconversion luminescence (1)G(4) --> H-3(6) (483.0 nm) in Tm
3+:LiYF4. The relationship between the avalanche properties (critical
pump rate, fluorescence intensity and buildup time) originated by reso
nant excited state absorption and the doped Tm3+ concentration is disc
ussed, and some useful conclusions are drawn.