Propagation of a Quasi-Gaussian Pulse in a Partially Homogeneously Broadened Gas Laser Amplifier: Effects of a Quasi-Gaussian Pulse on Line-Shape Parameter Analysis

The effect of a quasi-gaussian pulse on the line-shape parameter analysis is treated in terms of the skewness γ₁ and excess γ₂, measures of off-gaussian shape, by using the resonant pulse propagation method in a linear laser amplifier. Using the derived formulas of the incremental intensity gain γ_Iq, the increments of pulse duration squared \partialτ_q'²/\partial z and of pulse delay time \partial T_q'/\partial z, per unit plasma length for a quasi-gaussian pulse, and the experimentally measured values of these, the gain parameter G, the Lorentzian linewidth Δν_L and the Doppler linewidth Δν_D of the laser amplifier are conveniently corrected by subtracting the effects of a quasi-gaussian pulse with the obtained γ₁ and γ₂. This is also applied to a xenon 3.5 μm laser transition, discussing the influence of γ₁ and γ₂ on the accuracy of line-shape parameters.