Numerical Simulations of Fractional Fourier Transform of Hypergeometric-Gaussian Beam

Abstract:

The fractional Fourier transform (FRFT) of a new type of laser beams called the hypergeometric-Gaussian beam (HyGGB) is investigated in detail. The analytical expression for the FRFT of a HyGGB is derived. The properties of a HyGGB in the FRFT plane with different parameters are illustrated. The results show that the intensity distribution of a HyGGB in the FRFT plane strongly depends on the fractional order, the lens focal length and the initial beam width.

• Periodical: Advanced Materials Research (Volumes 765-767)
• Pages: 780-784
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.765-767.780
• Online since: September 2013
• Authors: Zhen Feng Yang, Wen Dan Miao, Zhen Jun Yang, Shu Min Zhang
• Keywords: Fractional Fourier Transform (FrFT), Hypergeometric-Gaussian Beam

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