Parallel creation of propagable integer- and fractional-order vector vortex beams using mode extraction principle

Propagable fractional-order vector vortex beams with fractional topological charge provide new possibilities in optics. However, their complicated polarizations give rise to a big challenge in creating multiple vector vortex beam channels. Here, we solve this scientific problem by generating fractional- and integer-order vector vortex beams in parallel using the mode extraction principle along with an optical pen. Based on the principle of mode extraction, integer- and fractional-order vector vortex beams can be extracted in the focal region of an objective lens directly from a single m = 30-order vector vortex beam. Their number, position, amplitude, and phase are further controlled by the parameters of an optical pen. This work not only presents an example of how to manipulate the polarization and phase of a light beam simultaneously using the principle of mode extraction, but also may open new avenues for the applications of integer- and fractional-order vector vortex beams.