“…where n(r, t) is the average population-inversion density; n 0 is total population density of the EL2 defect level (including EL2 0 and EL2 + ) of GaAs, n + (r, t) is the population density of positively charged EL2 + in GaAs, r 0 and r + are the absorption cross-section of EL2 0 and EL2 + in GaAs, respectively, L is the intrinsic loss,R is the reflectivity at 1.06 lm of the output coupler; s a is the stimulated-radiation lifetime of the gain medium; R in ðrÞ ¼ P in expðÀ2r 2 =x 2 p Þ½1 À expðÀalÞ=ht p px 2 p l is the pump rate, where P in is the pump power, ht p is the single-photon energy of the pump light, x p is the average radius of the pump beam, a is the absorption coefficient of the gain medium, B = 6bhmc(x G /x A ) 2 is the coupling coefficient of twophoton absorption (TPA) in GaAs, b is the two-photon absorption coefficient [23], / G (r, t) and / A (r, t) are the photon densities at the positions of gain medium and GaAs wafer, respectively, and described as [24] / i ðr; tÞ ¼ ðx 2…”