Spectra shifts of a chirped Gaussian pulsed beam propagating in slant atmosphere path

Based on the extended Huygens-Fresnel principle, the cross-spectral density function of a chirped Gaussian pulsed beam propagating in slant atmosphere path was derived, and the spectra shift properties of chirped Gaussian pulsed beam in slant atmosphere path were studied. The results show that the on-axis spectral shifts may be red shift comparing to the spectra at the source plane L = 0, while the off-axis spectra shifts is blue shift. The results also show that the red shift or the blue shift of chirped Gaussian pulsed beam in slant atmosphere path will increase as the parameters C0 and α of slant atmosphere increase.