“…The resultant beam has non-uniform spatial intensity, phase and polarization distributions. The ability to control both the spatial intensity and the polarization distribution of the optical field is of use in material processing [4]), in STED and confocal microscopy [5][6][7][8], in optical trapping and manipulation [9,10], in atomic state preparation, manipulation, and detection [9,11,12], in optical communications [13,14] and even classical entanglement [15][16][17]. Additionally, novel focussing properties associated with particular polarization distributions can lead to tighter focussing [18] and strong axial field components that are of use in microscopy [5,6], optical trapping [9], and as a mechanism for linear accelerators [19].…”