JIANG Cheng-an, LI Bin-zhong, ZHANG Ting-rong. Fractional Fourier transform of hollow Gaussian beam based on cylindrical coordinates[J]. Journal of Applied Optics, 2008, 29(3): 336-338.
Citation: JIANG Cheng-an, LI Bin-zhong, ZHANG Ting-rong. Fractional Fourier transform of hollow Gaussian beam based on cylindrical coordinates[J]. Journal of Applied Optics, 2008, 29(3): 336-338.
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Fractional Fourier transform of hollow Gaussian beam based on cylindrical coordinates

  • 1.

    Department of Physics,North Sichuan Medical Colledge,Nanchong 637007,China;

  • 2.

    Sichuan Normal University,Chengdu 610068,China

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  • Corresponding author:

    JIANG Cheng-an

  • Received Date: November 11, 2007
  • Revised Date: December 17, 2007
    Graphical Abstract
    • Abstract
  • The analytic expression of the fractional Fourier transform (FRFT) based on cylindrical coordinates was derived. The transform relation between the lightintensity distribution on the fractional Fourier transform plane and the various beam parameters was discussed, and the numerical calculation was made. The transmission property of FRFT for the hollow Gaussian beam based on the on the cylindrical coordinates was obtained.
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