为了对二次谐波型和偏振开关型频率分辨光学开关法测量超短光脉冲的研究，利用矩阵的方法对实验系统中几种常见超短光脉冲的二次谐波－频率分辨光学开关和偏振开关－频率分辨光学开关光谱图进行了数值模拟，并采用基于矩阵的主元素广义投影算法从数值模拟的二次谐波－频率分辨光学开关光谱图中恢复了脉冲的振幅和相位，误差达到收敛的标准(G＜10^－4)。结果表明，频率分辨光学开关能够精确地测量超短光脉冲。

For the sake of studying second-harmonic generation(SHG)and polarization gating(PG)frequency-resolved optical gating(FROG),both techniques measuring the intensity and phase of ultrashort laser pulses,SHG-FROG and PG-FROG traces of several types of common ultrashort pulses were numerically simulated using a matrix approach. Taking SHG-FROG as an example,the amplitude and the phase of these pulses were gleaned from these SHG-FROG traces by the principal component generalized projections algorithm and the SHG-FROG error was less than 10^－4. The results show that FROG can accurately measure ultrashort laser pulses.