Measurement of stimulated emission cross section and fluorescence branching ratio for Nd^3+ in sodium-β^″ alumina

Room-temperature measurements of laser emission cross sections of Nd(3+) ion in sodium-beta" alumina at 1.06 and 1.35 microm as well as the fluorescence branching ratios of (4)F(3/2) to (4)I(j) manifolds are reported. A theoretical calculation based on absolute absorption measurements when a modified Judd-Ofelt phenomenological intensity analysis was used is reported. The cross sections thus determined are sigma(1.06) = 3.1 +/- 0.3 x 10(-20) cm(2) and sigma(1.35) = 0.6 +/- 0.1 x 10(-20) cm(2), respectively. The emission cross section at 1.06 microm was also determined by small-signal-gain measurements and was found to be in good agreement with the above value.