利用色散脉冲传播理论和空气折射率Ciddor公式,推导了空气中飞秒脉冲激光器的互相关函数;根据互相关函数结果表达式取决于激光器光源的光谱分布,建立了在空气中不同光程路径差及环境参量变化下,不同光谱分布的飞秒脉冲激光器的脉冲之间互相关模式的数值模型.结果表明:随着传播距离的增大,互相关模型具有稳定啁啾及线性加宽;环境参量的变化只引起互相关图案的移动,并不产生任何额外线性加宽或啁啾. Based on the theory of dispersive pulse propagation and Ciddor formula of air refractive index, the cross-correlation function of femtosecond pulse lasers in air is deduced. According to the spectral distribution of cross-correlation function results, the difference of optical paths in air And the numerical simulation of the cross-correlation mode between the pulses of femtosecond pulsed lasers with different spectral distribution under the changes of ambient parameters.The results show that the cross-correlation model has stable chirp and linear broadening as the propagation distance increases, and the environmental parameters The change only causes the cross-correlation pattern to move without any extra linear broadening or chirping.