利用光克尔效应和交叉相位调制效应，采用基于矩阵的主元素广义投影（PCGP）算法，提出了基于克尔晶体的频率分辨光学开关法（FROG）光学任意波形测量方案。建立了基于克尔晶体的FROG光学任意波形测量的理论模型，并对该方案进行了仿真研究，讨论背景噪声处理、门函数形状、门波形幅度对波形恢复的影响。仿真结果表明：该方案可以实现对光学任意波形的幅度和相位的准确测量；门脉冲采用矩形波形时，光学任意波形的测量准确性较高。

Using the Kerr effect and the cross phase modulation effect, and applying principal component generalized projects (PCGP) algorithm based on matrix, in this paper, proposed is a novel scheme of frequency resolved optical gating (FROG) measurement for optical arbitrary waveforms based on Kerr crystal. Though establishing theory model of FROG measurement for optical arbitrary waveforms, the scheme was simulated. Furthermore, the impacts of background noise process, gating waveform shape and gating waveform intensity on the measurement accuracy were discussed. Simulation results show that it can accurately measure the amplitude and phase of optical arbitrary waveforms. The measurement is sufficiently accurate when the gating waveform is rectangle pulse.