Free-space ultrashort pulsed-beam propagation beyond the paraxial approximation

Dongmei Deng; Hong Guo; Guangshan Lu; Xiquan Fu; Fahuai Yi

doi:10.1117/12.479199

30 April 2003 Free-space ultrashort pulsed-beam propagation beyond the paraxial approximation

Dongmei Deng, Hong Guo, Guangshan Lu, Xiquan Fu, Fahuai Yi

Proceedings Volume 4976, Atmospheric Propagation; (2003) https://doi.org/10.1117/12.479199
Event: High-Power Lasers and Applications, 2003, San Jose, CA, United States

Abstract

Starting from nonparaxial pulsed-beam propagation equation in free space in temporal frequency domain and making use of spatial Fourier transform, the nonparaxial pulsed-beam solution is derived based on the paraxial pulsed beam solution, where the nonparaxiality is evaluated by a series of expansion. Specifically, the general lowest-order correction field is given in an integral form. Due to the complexity of complex analytical signal (CAS) theory treatment, by using a different initial value from the previous CAS treatment, the lowest-order correction to the paraxial approximation of a fundamental Gaussian beam, uniformly driven by a Gaussian pulse, whose waist plane has a parallel shift from the z=0 plane, are presented. Correspondingly, numerical simulation shows that our lowest-order correction agrees well with the exact paraxial solution(CAS). Apparently, the larger the order is, the more accurate the obtained approximated solution is, and, of course, the more complicated the obtained approximation solution is also.

Citation Download Citation

Dongmei Deng, Hong Guo, Guangshan Lu, Xiquan Fu, and Fahuai Yi "Free-space ultrashort pulsed-beam propagation beyond the paraxial approximation", Proc. SPIE 4976, Atmospheric Propagation, (30 April 2003); https://doi.org/10.1117/12.479199

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