Abstract
Optical singularities in nonparaxial structured light are currently of special interest. Here we study polarization Möbius strips on elliptical paths surrounding lines of circular polarization in fully three-dimensional fields. We find that as the eccentricity, azimuthal orientation, or centering of the path changes, right-handed Möbius strips can change into left-handed ones, and vice versa, and that Möbius strips with one half twist can change into strips with three half twists, and vice versa. These transformations are shown to occur in a possibly unexpected way, not observed previously, that is universal for all two-component singularities.
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