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Spin-Orbital Momentum Decomposition and Helicity Exchange in a Set of Non-Null Knotted Electromagnetic Fields

by Manuel Arrayás *,† and José L. Trueba
Área de Electromagnetismo, Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles (Madrid), Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2018, 10(4), 88; https://doi.org/10.3390/sym10040088
Received: 9 March 2018 / Revised: 23 March 2018 / Accepted: 27 March 2018 / Published: 30 March 2018
(This article belongs to the Special Issue Symmetry in Electromagnetism)
We calculate analytically the spin-orbital decomposition of the angular momentum using completely nonparaxial fields that have a certain degree of linkage of electric and magnetic lines. The split of the angular momentum into spin-orbital components is worked out for non-null knotted electromagnetic fields. The relation between magnetic and electric helicities and spin-orbital decomposition of the angular momentum is considered. We demonstrate that even if the total angular momentum and the values of the spin and orbital momentum are the same, the behavior of the local angular momentum density is rather different. By taking cases with constant and non-constant electric and magnetic helicities, we show that the total angular momentum density presents different characteristics during time evolution. View Full-Text
Keywords: electromagnetic knots; helicity; spin-orbital momentum electromagnetic knots; helicity; spin-orbital momentum
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Arrayás, M.; Trueba, J.L. Spin-Orbital Momentum Decomposition and Helicity Exchange in a Set of Non-Null Knotted Electromagnetic Fields. Symmetry 2018, 10, 88.

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