Fractional Fourier transform of non-integer vortex beams

Vortex beams possess orbital angular momentum(OAM). This work analyzes the properties of non-integer vortex beams when propagating through fractional Fourier planes. Based on the definition of fractional Fourier transform (FrFT), the theoretical formula is analyzed to discuss the effects of the parameters of non-integer vortex beams. Numerical results of the evolution of non-integer vortex beams through different fractional Fourier planes are illustrated. The results show that the fractional order of the FrFT has great influence on the normalized intensity distributions and the phase distributions of non-integer vortex beams. The beams show the same evolution trends, but different shapes.