Propagation characteristics of super-Gaussian beams with vortex wave-front

The super-Gaussian vortex beams generated from spiral phase plates (SPP) with different topological charges are discussed, also the properties of the light intensity distribution like max light intensity, radius of light beams and its encircled energy varying with propagation distance and with topological charges are studied and compared, which shows that the radius of light intensity or of encircled energy presents rough linear relationships to the propagation distance and topological charges. Moreover, the energy of Gaussian vortex beams is always more dispersed than that of super-Gaussian vortex beams, while the radius of light intensity of Gaussian vortex beams is smaller than that super-Gaussian vortex beams when referring to higher topological charges. The generalized M2 factor varying with propagation distance and topological charges is also discussed to feature the quality of beams, which shows that the super-Gaussian beam at a relatively far distance with lower topological charges could have better quality.