Optical vortex knots and links via holographic metasurfaces
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Physics: X"
DOI: 10.1080/23746149.2020.1843535
Abstract: ABSTRACT Vortices arise in many natural phenomena as dark points of total destructive interference. Sometimes they form continuous lines and even enclosed loops with knotted or linked topologies in three spatial dimensions. Since the mathematical… read more here.
Keywords: optical vortex; holographic metasurfaces; physics; topology ... See more keywords
Quasi-Stable Configurations of Torus Vortex Knots and Links
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Experimental and Theoretical Physics"
DOI: 10.1134/s106377611809008x
Abstract: The dynamics of torus vortex configurations Vn, p, q in a superfluid liquid at zero temperature (n is the number of quantum vortices, p is the number of turns of each filament around the symmetry… read more here.
Keywords: stable configurations; quasi stable; configurations torus; vortex knots ... See more keywords
Recurrent Generalization of F-Polynomials for Virtual Knots and Links
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DOI: 10.3390/sym14010015
Abstract: F-polynomials for virtual knots were defined by Kaur, Prabhakar and Vesnin in 2018 using flat virtual knot invariants. These polynomials naturally generalize Kauffman’s affine index polynomial and use smoothing in the classical crossing of a… read more here.
Keywords: generalization polynomials; polynomials virtual; knots links; virtual knots ... See more keywords