Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function

摘要

By using the Wigner distribution function, the fractional Fourier transform (FRFT) of fiat-topped multi-Gaussian (FTMG) beams is studied. Analytical expressions for the intensity distribution, beam width, far-field divergence angle,M^2 factor and K parameter of FTMG beams are derived. The influence of fractional order on transformation properties of FTMG beams in the FRFT plane is illustrated with numerical examples.