Vol. 43

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The Fractional Fourier Transform of Hypergeometric-Gauss Beams through the Hard Edge Aperture

By Jun Qu, Mengyao Fang, Ji Peng, and Wei Huang
Progress In Electromagnetics Research M, Vol. 43, 31-38, 2015


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.


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.


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