Fractional Fourier transform of hollow Gaussian beam based on cylindrical coordinates

JIANG Cheng-an;LI Bin-zhong;ZHANG Ting-rong

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    Published By: Journal of Applied Optics

    CN 61-1171/O4

Journal of Applied Optics ›› 2008, Vol. 29 ›› Issue (3) : 336-338.

Fractional Fourier transform of hollow Gaussian beam based on cylindrical coordinates

  • JIANG Cheng-an1, LI Bin-zhong1, ZHANG Ting-rong2
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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.

Key words

fractional Fourier transform / hollow Gaussian beam / cylindrical coordinate

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

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