中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2779-2784.doi: 10.1088/1674-1056/18/7/026

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Fractional Fourier transform of Lorentz beams

周国泉   

  1. School of Sciences, Zhejiang Forestry University, Lin'an 311300, China
  • 收稿日期:2008-11-05 修回日期:2008-12-02 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported by the Scientific Research Fund of Zhejiang Provincial Education Department of China.

Fractional Fourier transform of Lorentz beams

Zhou Guo-Quan(周国泉)†   

  1. School of Sciences, Zhejiang Forestry University, Lin'an 311300, China
  • Received:2008-11-05 Revised:2008-12-02 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported by the Scientific Research Fund of Zhejiang Provincial Education Department of China.

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摘要： 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.

Abstract: 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.

Key words: Lorentz beam, fractional Fourier transform, propagation properties

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

  • 42.60.Jf
02.30.Nw (Fourier analysis) 02.30.Uu (Integral transforms)