针对激光脉冲在沙尘天气中的时延和展宽问题,以光信号在离散介质中的传输理论为依据,求解了脉冲信号在传播过程中的双频互相关函数,推导了沙尘天气下的脉冲响应。通过分析沙尘天气中不同能见度下激光脉冲时延和展宽的变化情况,得到了激光脉冲的时延量和展宽量与沙尘能见度间的关系,并分别研究了波长为3.8、7.6和10.6 mm的激光脉冲的时延和展宽与沙尘天气中大气能见度间的关系。结果表明:在波长一定的情况下,激光脉冲的时延量和展宽量随能见度的增加呈负指数形式减小,并逐渐趋于稳定值。同时,在能见度一定的情况下,激光脉冲的时延量和展宽量会随信号波长的增加而增加。 Aiming at the delay and broadening of laser pulses in dusty weather, based on the transmission theory of optical signals in discrete media, the two-frequency cross-correlation function of pulse signals in propagation is solved, Impulse response. By analyzing the variation of laser pulse delay and broadening under different visibility in dust weather, the relationship between the laser pulse delay and the amount of broadening and the visibility of sand dust was obtained. The effects of wavelength of 3.8, 7.6 and 10.6 mm The relationship between the delay and broadening of laser pulses and the visibility of the atmosphere in dusty weather. The results show that the delay and the amount of laser pulse decrease with the increase of visibility in the form of negative exponent at a certain wavelength, and gradually decrease to a stable value. At the same time, with certain visibility, the amount of laser pulse delay and broadening will increase with the increase of signal wavelength.