Open AccessFractional Fourier transform of beams in the use of the Wigner distribution function method
Author(s) -
Peng Wu,
Lyu Bai-Da,
Chen Tian-Lu
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.658
Subject(s) - fractional fourier transform , wigner distribution function , hermite polynomials , fourier transform , distribution (mathematics) , intensity (physics) , gaussian , plane (geometry) , beam (structure) , order (exchange) , function (biology) , physics , distribution function , gaussian beam , mathematical analysis , optics , mathematics , fourier analysis , quantum mechanics , geometry , quantum , finance , evolutionary biology , economics , biology
By using the Wigner distribution function(WDF)method,the fractional Fourier transform (FRFT) of beams is studied.HermiteGaussian (HG) beams are taken as an example; closedform expressions for the intensity distribution and beam widths of HG beams at the FRFT's plane are derived and changes in the intensity dist ribution of HG beams with the order of the FRFT are illustrated with numerical examples.It is shown that a symmetrical intensity distribution with equal beam width in the x and y directions can be achieved by a suitable choice of the transform order p.