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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2015-08-09
The Fractional Fourier Transform of Hypergeometric-Gauss Beams through the Hard Edge Aperture
By
Jun Qu,

    Dr. Jun Qu

    Department of Physics

    Anhui Normal University

    China

    Homepage

Mengyao Fang,

    Dr. Mengyao Fang

    Department of Physics

    Anhui Normal University

    China

    Homepage

Ji Peng,

    Dr. Ji Peng

    Department of Physics

    Anhui Normal University

    China

    Homepage

Wei Huang

    Dr. Wei Huang

    Laboratory of Atmospheric Physico-Chemistry

    Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences

    China

    Homepage

Progress In Electromagnetics Research M, Vol. 43, 31-38, 2015
doi:10.2528/PIERM15070705 | Google Scholar

Abstract
Based on the Collins integral formula and Lohmann optical system, we expand the hard edge aperture into complex Gauss function and derive an approximate analytic expression of intensity distribution theoretically for Hypergeometric-Gauss beams through the fractional Fourier transform (FRT) optical systems with hard edge aperture. The influences of FRT order, aperture size and other optical parameters on the light intensity distribution of Hypergeometric-Gauss beams passing through the FRT optical systems are discussed in detail. The results show that the FRT is an excellent beam-shaping method.
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Citation
Jun Qu, Mengyao Fang, Ji Peng, and Wei Huang, "The Fractional Fourier Transform of Hypergeometric-Gauss Beams through the Hard Edge Aperture," Progress In Electromagnetics Research M, Vol. 43, 31-38, 2015.
doi:10.2528/PIERM15070705
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