Explicit relations and optimal parameters for sidelobe suppression in optical vortices with a modified Bessel function

This paper establishes explicit relations between the radial modulation and the optimal sidelobe expression effect in the Bessel-like modulation technique. It verifies that both central and outer ring areas of the phase plate result in sidelobes in the diffraction pattern, and the corresponding structural dimensions can be determined quantitatively. This approach gives rise to complete sidelobe suppression by taking optimal modulation parameters.