English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/207929
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:

Title

Null electromagnetic fields from dilatation and rotation transformations of the hopfion

AuthorsArrayás, Manuel; Rañada, Antonio F.; Tiemblo, Alfredo ; Trueba, José L.
KeywordsHopfion
Bateman construction
Null fields
Issue Date2-Sep-2019
PublisherMolecular Diversity Preservation International
CitationSymmetry 11: 9 (2019)
AbstractThe application of topology concepts to Maxwell equations has led to the developing of the whole area of electromagnetic knots. In this paper, we apply some symmetry transformations to a particular electromagnetic knot, the hopfion field, to get a new set of knotted solutions with the properties of being null. The new fields are obtained by a homothetic transformation (dilatation) and a rotation of the hopfion, and we study the constraints that the transformations must fulfill in order to generate valid electromagnetic fields propagating in a vacuum. We make use of the Bateman construction and calculate the four-potentials and the electromagnetic helicities. It is observed that the topology of the field lines does not seem to be conserved as it is for the hopfion.
Description17 pags., 4 figs. -- Open Access funded by Creative Commons Atribution Licence 4.0
Publisher version (URL)http://dx.doi.org/10.3390/sym11091105
URIhttp://hdl.handle.net/10261/207929
Identifiersdoi: 10.3390/sym11091105
issn: 2073-8994
Appears in Collections:(CFMAC-IFF) Artículos
Files in This Item:
File Description SizeFormat 
Null Electromagnetic.pdf589,67 kBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.