We study the propagation of ultrashort chirped pulse beams in free space . the results show that the chirp influenced on the spatial singularity more than the width of the pulse beam 但是对于啁啾脉冲光束,啁啾导致的脉冲光谱展宽仍然会导致脉冲光束的空间奇异性,脉冲啁啾比脉冲长度对脉冲空间奇异性出现的影响更大。
During these processes , diffraction , self - phase modulation , cross - phase modulation and physical distance between the beam centers all have important effects on the beams and the pulse beams propagation 在这些过程中,衍射、自相位调制、交叉相位调制、光束之间的间距等都对光束和脉冲光束在非线性介质中的传输产生重要的影响。
Chapter 1 : the development of the investigation about the free - propagation of ultra - short pulsed beam is introduced , and the necessity of the investigation about the non - paraxial propagation of the ultra - short pulsed beam in free space is discussed 第一章:本章回顾了超短脉冲光束传输的研究进展并讨论了超短脉冲光束非傍轴传输研究的意义。
Based on the basic equation , the non - paraxial correction of pulsed beam is obtained by the spectrum analysis technic and the perturbative technic respectively . the result from the above mentioned two technics are compared to each other 基于上述方程,分别用角谱分析法和微扰法得到了脉冲光束的非傍轴修正,并对这两种方法所得结果进行了比较。
Porras and fu et al proposed that slowly varying envelope approximation and the complex amplitude envelope do n ' t fit anymore for the ultrashort pulsed beam shorter than or even near to one oscillation optical period , because they lead to a spatial singularity 结果表明,对于脉冲宽度较长(相对于一个光学周期)的超短无啁啾脉冲光束可以使用缓变包络近似和复振幅包络表达式。