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- W3099543105 abstract "The fundamental polarization singularities of monochromatic light are normally associated with invariance under coordinated rotations: symmetry operations that rotate the spatial dependence of an electromagnetic field by an angle $theta$ and its polarization by a multiple $gammatheta$ of that angle. These symmetries are generated by mixed angular momenta of the form $J_gamma = L + gamma S$ and they generally induce Mobius-strip topologies, with the coordination parameter $gamma$ restricted to integer and half-integer values. In this work we construct beams of light that are invariant under coordinated rotations for arbitrary $gamma$, by exploiting the higher internal symmetry of 'bicircular' superpositions of counter-rotating circularly polarized beams at different frequencies. We show that these beams have the topology of a torus knot, which reflects the subgroup generated by the torus-knot angular momentum $J_gamma$, and we characterize the resulting optical polarization singularity using third-and higher-order field moment tensors, which we experimentally observe using nonlinear polarization tomography." @default.
- W3099543105 created "2020-11-23" @default.
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- W3099543105 date "2019-06-10" @default.
- W3099543105 modified "2023-10-06" @default.
- W3099543105 title "Knotting fractional-order knots with the polarization state of light" @default.
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- W3099543105 doi "https://doi.org/10.1038/s41566-019-0450-2" @default.
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