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Proceedings Paper

Free-space ultrashort pulsed-beam propagation beyond the paraxial approximation
Author(s): Dongmei Deng; Hong Guo; Guangshan Lu; Xiquan Fu; Fahuai Yi
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Paper 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.

Paper Details

Date Published: 30 April 2003
PDF: 7 pages
Proc. SPIE 4976, Atmospheric Propagation, (30 April 2003); doi: 10.1117/12.479199
Show Author Affiliations
Dongmei Deng, South China Normal Univ. (China)
Hong Guo, South China Normal Univ. (China)
Guangshan Lu, South China Normal Univ. (China)
Xiquan Fu, South China Normal Univ. (China)
Fahuai Yi, South China Normal Univ. (China)

Published in SPIE Proceedings Vol. 4976:
Atmospheric Propagation
Cynthia Y. Young; John S. Stryjewski, Editor(s)

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