Source-generated electromagnetic hopfions

Autor: Amr M. Shaarawi, loannis M. Besieris
Rok vydání: 2017
Předmět:
Zdroj: 2017 XXXIInd General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS).
DOI: 10.23919/ursigass.2017.8105276
Popis: Irvine and Bouwmeester [1] explored the physical properties of an exceptional solution to the source-free Maxwell's equations in vacuo that exhibits linked and knotted field line structures. The Irvine-Bouwmeester solution was constructed originally by Ranada using Hopf maps (fibrations) and belongs to a more general class of solutions to linear and nonlinear equations known as Hopfions. Besieris and Shaarawi [2] have linked the Irvine-Bouwmeester solution to a known null luminal electromagnetic wave. This work has been further extended by Kedia et al. [3]. A broader connection can be established between linear Hopfions and spatiotemporally localized luminal waves [4]. The latter are bidirectional; however, free parameters entering the solutions govern the underlying spatiotemporal spectra and can be “tweaked” so that the wavepackets have finite energy and propagate primarily in the forward direction. Very close replicas of such localized waves can be launched causally from apertures constructed based on the Huygens principle.
Databáze: OpenAIRE