Singular knot bundle in light
arXiv:1807.09204 · doi:10.1364/JOSAA.35.001987
Abstract
As the size of an optical vortex knot, imprinted in a coherent light beam, is decreased, nonparaxial effects alter the structure of the knotted optical singularity. For knot structures approaching the scale of wavelength, longitudinal polarization effects become non-negligible and the electric and magnetic fields differ, leading to intertwined knotted nodal structures in the transverse and longitudinal polarization components which we call a knot bundle of polarization singularities. We analyze their structure using polynomial beam approximations, and numerical diffraction theory. The analysis reveals features of spin-orbit effects and polarization topology in tightly-focused geometry, and we propose an experiment to measure this phenomenon.
arXiv commentMain Article 12 pages, 6 figures; Supplementary Material (Appendix) 3 pages, 1 figure
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- Polarization Singularities in Light Scattering by Small Particles
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- Ray-Wave Duality of Electromagnetic Fields: A Feynman Path integral Approach to Classical Vectorial Imaging
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