Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function

doi:10.1088/1009-1963/14/6/013

中国物理B ›› 2005, Vol. 14 ›› Issue (6): 1130-1135.doi: 10.1088/1009-1963/14/6/013

Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function

吴平¹, 陈天禄¹, 吕百达²

(1)Dept. of Applied Physics, Southwest Jiaotong University, Chengdu 610031,China; (2)Institute of Laser Physics＆Chemistry, Sichuan University, Chengdu 610064,China

收稿日期:2004-09-03 修回日期:2005-01-08 出版日期:2005-05-27 发布日期:2005-05-27
基金资助:
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.

Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function

Wu Ping (吴平)^a, Lü Bai-Da (吕百达)^b, Chen Tian-Lu (陈天禄)^a

^a Deptartment of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China; ^b Institute of Laser Physics＆Chemistry, Sichuan University, Chengdu 610064, China

Received:2004-09-03 Revised:2005-01-08 Online:2005-05-27 Published:2005-05-27
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: Wigner distribution function (WDF), flat-topped multi-Gaussian(FTMG) beam, fraction Fourier transform(FRFT)

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.

Key words: Wigner distribution function, flat-topped multi-Gaussian beam, fraction Fourier transform

中图分类号: (Beam characteristics: profile, intensity, and power; spatial pattern formation)

42.60.Jf

42.30.Kq (Fourier optics) 02.50.Ng (Distribution theory and Monte Carlo studies)

吴平, 吕百达, 陈天禄. Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function[J]. 中国物理B, 2005, 14(6): 1130-1135.

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[J]. Chinese Physics, 2005, 14(6): 1130-1135.

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Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function

Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function

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