Fractional Fourier transform of Lorentz beams

• 作 者: 周国泉
• 机 构: School of Sciences,Zhejiang Forestry University,
• 出 处: Chinese Physics B
• 发表日期: 2009年07期
• 关键词: Lorentz FRFT convolution fractional normalized illustrated numerically divergent

This paper introduces Lorentz beams to describe certain laser sources that produce highly divergent fields.The fractional Fourier transform(FRFT) is applied to treat the propagation of Lorentz beams.Based on the definition of convolution and the convolution theorem of the Fourier transform,an analytical expression for a Lorentz beam passing through a FRFT system has been derived.By using the derived formula,the properties of a Lorentz beam in the FRFT plane are illustrated numerically.

This paper introduces Lorentz beams to describe certain laser sources that produce highly divergent fields. The fractional Fourier transform (FRFT) is applied to treat the propagation of Lorentz beams. Based on the definition of convolution and the convolution theorem of the Fourier transform, an analytical expression for a Lorentz beam passing through a FRFT system has been derived. By using derived formula, the properties of a Lorentz beam in the FRFT plane are illustrated numerically.