## Abstract

Optical absorption and emission intensities of the ${\mathrm{Nd}}^{3+}$ ion in ${\mathrm{GdAl}}_{3}({\mathrm{BO}}_{3}{)}_{4}$ crystal were investigated. Based on the Judd–Ofelt theory, the following spectral parameters were obtained: parameters of oscillator strengths ${\mathrm{\Omega}}_{\mathrm{\lambda}},$
${\mathrm{\Omega}}_{2}=1.89\times {10}^{-20}{\mathrm{cm}}^{2},$
${\mathrm{\Omega}}_{4}=2.55\times {10}^{-20}{\mathrm{cm}}^{2},$ and ${\mathrm{\Omega}}_{6}=4.95\times {10}^{-20}{\mathrm{cm}}^{2};$ radiative lifetime, 293 *µ*s; and quantum efficiency 18.7%. The fluorescence branch ratios were calculated: ${\beta}_{1}=0.341,$
${\beta}_{2}=0.536,$
${\beta}_{3}=0.117,$ and ${\beta}_{4}=0.006.$ The value of stimulated-emission cross section ${\sigma}_{p}$ was calculated.

© 2001 Optical Society of America

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