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Exemplary applications of virtually counter-propagated, orthogonally polarized vector modes: (a) adjusting the mode at the focal region for, for example, STED microscopy systems, optical trapping or (b) laser material processing by digital propagation (phase shift ϕ), to create radially polarized beams for drilling and circularly polarized beams for cutting; (c) illustration of a novel quantum key distribution approach for the delivery of Alice's states to Bob.
