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• W2034754411 abstract "We construct analytically, a new family of null solutions to Maxwell's equations in free space whose field lines encode all torus knots and links. The evolution of these null fields, analogous to a compressible flow along the Poynting vector that is shear free, preserves the topology of the knots and links. Our approach combines the construction of null fields with complex polynomials on ${mathbb{S}}^{3}$. We examine and illustrate the geometry and evolution of the solutions, making manifest the structure of nested knotted tori filled by the field lines." @default.
• W2034754411 created "2016-06-24" @default.
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• W2034754411 date "2013-10-10" @default.
• W2034754411 modified "2023-10-17" @default.
• W2034754411 title "Tying Knots in Light Fields" @default.
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• W2034754411 doi "https://doi.org/10.1103/physrevlett.111.150404" @default.
• W2034754411 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/24160583" @default.
• W2034754411 hasPublicationYear "2013" @default.
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