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研究了超短啁啾脉冲光束在真空中的传输行为以及在传输过程中时空奇异性的形成 .结果表明 ,对于脉冲时间较长 (相对于一个光学周期 )的超短啁啾脉冲光束 ,啁啾导致的脉冲光谱展宽仍然会导致脉冲光束空间奇异性的出现 .脉冲啁啾比脉冲长度对脉冲光束空间奇异性的出现影响更大 .给出了超短啁啾高斯脉冲光束在不同参数下的数值模拟、空间奇异性出现的条件等 ,并用复解析信号理论消除了空间奇异性的出现 .
The transmission behavior of ultra-short chirped pulsed beams in vacuum and the formation of spatiotemporal singularities during transmission are investigated. The results show that for ultra-short chirped pulsed beams with longer pulse times (relative to one optical period), the chirp The pulse broadening caused by the pulse broadening still leads to the appearance of the spatial singularity of the pulsed beam.The effect of the pulse chirp on the occurrence of the spatial singularity of the pulsed beam is greater than that of the pulse length.The numerical value of the ultrashort chirped Gaussian pulsed beam under different parameters Simulation, the emergence of space singularities and so on, and the use of complex analytic signal theory to eliminate the emergence of spatial singularity.