Dynamics of Fractional Vortex Beams at Fraunhofer Diffraction Zone

Fractional vortex beams (FVBs) possess unique topological properties that are manifested in the distribution. However, there still discrepancies value of strength FVBs at far field. In this work we present a complete picture behavior phase singularities non-integer (commonly known as fractional) Fraunhofer diffraction region and demonstrate very good correspondence between experiments simulations. As shown text, original beam waist ω0 was found to be key factor relating profile topology. This variable measured process calibrating experiment. Finally, an experimental method obtain charge is proposed. only requires analysis intensity, knowledge transition behaviors, waist.