Interaction of the Lissajous singularity and singular Lissajous line carried by non-paraxial vector beams

Abstract

The interaction of the Lissajous singularity and singular Lissajous line carried by non-paraxial polychromatic beams is studied. It has been found that with propagation the singular Lissajous line breaks into more than two Lissajous singularities, pairs creation and annihilation of Lissajous singularities, the handedness reversal and change in the degree of polarization of Lissajous singularities, as well as the change in the shape of Lissajous figures may take place.