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通过采用分步傅里叶变换方法求解非共轴相关耦合波方程,分析了单发次自相关方法测试脉冲宽度时光束空间和频率调制对自相关信号的影响。分别讨论了两束基频光都存在空间调制和一束基频光在传输光路中强度分布受到调制等情况下的谐波信号变化。模拟结果表明谐波信号的调制随入射基频光调制度增大而增加,随基频光强调制频率增大而减少。相关信号外包络线与光束未调制情况下得到的结果一致,脉冲啁啾只是导致自相关信号效率降低。提出了基于自相关函数外包络线求解被测试信号脉冲宽度的方法,为正确测试脉冲宽度提供了理论依据。
By using the step-by-step Fourier transform method to solve the non-coaxial correlation coupled wave equation, the influence of the beam space and frequency modulation on the autocorrelation signal when the single-pulse auto-correlation method is used to test the pulse width is analyzed. The changes of the harmonic signal under the condition of the spatial modulation of the two fundamental beams of light and the modulation of the intensity distribution of the fundamental light of the beams in the transmission light path are discussed respectively. The simulation results show that the modulation of the harmonic signal increases with the modulation of the incident fundamental frequency and decreases with the increase of the modulation frequency of the fundamental frequency. The envelope of the relevant signal is consistent with the result obtained when the beam is unmodulated, and the pulse chirp only causes the autocorrelation signal to decrease in efficiency. The method of solving the pulse width of the signal under test based on the envelope of autocorrelation function is proposed, which provides a theoretical basis for testing the pulse width correctly.