a Deptartment of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China; b Institute of Laser Physics＆Chemistry, Sichuan University, Chengdu 610064, China
Abstract By using the Wigner distribution function (WDF), the fractional Fourier transform (FRFT) of flat-topped multi-Gaussian(FTMG) beams is studied. Analytical expressions for the intensity distribution, beam width, far-field divergence angle, M2 factor and K parameter of FTMG beams are derived. The influence of fractional order on transformation properties of FTMG beams in the FRFT plane is illustrated with numerical examples.
Received: 03 September 2004
Revised: 08 January 2005
Accepted manuscript online:
PACS:
42.60.Jf
(Beam characteristics: profile, intensity, and power; spatial pattern formation)
Fund: This work is supported by the Foundation of Sichuan Provincial Applied Basic Research (grant 03JY029-063-1) and the Foundation of Science and Technology Research of Southwest Jiaotong University.
Cite this article:
Wu Ping (吴平), Lü Bai-Da (吕百达), Chen Tian-Lu (陈天禄) Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function 2005 Chinese Physics 14 1130
Decoherence of elliptical states in phase space Wang Yue-Yuan (王月媛), Liu Zheng-Jun (刘正君), Liao Qing-Hong (廖庆洪), Wang Ji-Cheng (王继成), Liu Shu-Tian (刘树田). Chin. Phys. B, 2011, 20(5): 054201.
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