Focal pattern evolution of radially polarized Lorentz-Gaussian vortex beam

Focusing properties of linearly radially Lorentz-Gaussian vortex beams was investigated, in which all three orthogonal field components were considered in research. The focal pattern distorts considerably and regularly on increasing charge number for certain parameters, and there are two intensity peaks locating weak intensity ring along one coordinate direction. Distance between two intensity peaks increases on increasing charge number, which may be used to measure charge number. The effect of beam parameters on focal pattern evolution was also studied, which shows that effect of Gauss parameter is more considerably than that of Lorentz parameter. The focal pattern evolution direction can be changed by increasing Gauss parameter, which may results in novel intensity distributions.