Judd-Ofelt Intensity Analysis of Tb$^{3+}$ in TbAlO$_{3}$

Spectroscopic and laser properties of Tb$^{3+}$ in TbAlO$_{3}$ are analyzed using the standard Judd-Ofelt (J-O) theoretical model. The J-O model has been applied to the room temperature absorption spectra of Tb$^{3+}$ in TbAlO$_{3}$ to determine the radiative decay rates, branching ratios, and radiative lifetimes. The quantum efficiency of the $^{5}$D$_{4} \quad \to $ $^{7}$F$_{5}$ transition is determined using the radiative and fluorescence lifetimes. Finally, the spectroscopic results of Tb$^{3+ }$in TbAlO$_{3}$ are compared with those of Tb$^{3+}$ in other hosts.