中文摘要：

利用理论解析推导的方法给出了超短洛仑兹脉冲光束的解析解。这种脉冲光束解的频率分量可以表述为高斯函数与洛仑兹函数相乘的形式，并且瑞利距离相同。较为详细地研究了自由空间中超短洛仑兹脉冲光束的传输性质，所得结果对试验中超短脉冲的制备和实际应用具有一定的理论指导作用。

英文摘要：

The analytical expression of the ultrashort Lorentz pulsed beams is deduced. These pulsed beams with a certain frequency have the product form of the monochromatic Gaussian beam times the complex Lorentz function. The propagation properties of the ultrashort Lorentz pulsed beams in free space have been studied in detail.