title: Fractional Fourier transform of Lorentz-Gauss beams.
abstract: Lorentz-Gauss beams are introduced to describe certain laser sources that produce highly divergent beams. The fractional Fourier transform (FRFT) is applied to treat the propagation of Lorentz-Gauss beams. Based on the definition of convolution and the convolution theorem of the Fourier transform, an analytical expression for a Lorentz-Gauss beam passing through an FRFT system has been derived. By using the derived expression, the properties of a Lorentz-Gauss beam in the FRFT plane are graphically illustrated with numerical examples.
authors.affiliation: School of Sciences, Zhejiang Forestry University, Lin'an 311300, Zhejiang Province, China. zhouguoquan178@sohu.com
authors.forename: Guoquan
authors.initials: G
authors.lastname: Zhou