“…Also, the phase of optical vortices is utilized in the analysis of the laser field’s polarizing properties. For example, a single fork-shaped phase grating matched with first-order vortices for detecting radially and azimuthally polarized laser beams [ 4 ], and more complex multi-order optical elements matched with vortices of different orders, make it possible to uniquely determine various combinations of the cylindrical polarization state and the vortex phase of the laser beam [ 5 , 6 , 7 ]. Optical tweezers and spanners [ 8 , 9 , 10 , 11 , 12 ], non-diverging speckles [ 13 ], imagining and microscopy [ 14 , 15 , 16 , 17 ], novel sensing technologies for detecting molecules and nanostructures [ 18 , 19 , 20 , 21 , 22 ], and object motion detection [ 23 , 24 ] are only a few of the applications for optical vortices that have been proposed so far.…”