Parabolic-accelerating vector waves

Abstract Complex vector light fields have become a topic of late due to their exotic features, such as non-homogeneous transverse polarisation distributions and the non-separable coupling between spatial degrees freedom (DoF). In general, beams propagate in free space along straight lines, being Airy-vector vortex only known exception. Here, we introduce new family that exhibit novel properties not been observed before, ability freely accelerate parabolic trajectories. addition, distribution contains states oriented at exactly same angle but with different ellipticity. We anticipate these might find applications optical manipulation, microscopy or laser material processing also extend others.