On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time

On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time

A class of vacuum electromagnetic fields in which the field lines are knotted curves are reviewed. The class is obtained from two complex functions at a particular instant t = 0 so they inherit the topological properties of red the level curves of these functions. We study the complete topol...

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Main Authors: Manuel Arrayás, José L. Trueba
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Symmetry
Subjects:
electromagnetic knots
torus knots
maxwell equations in vacuum
Online Access:https://www.mdpi.com/2073-8994/9/10/218
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spelling doaj-f3968e94bba64836a733cacdd05a760e2020-11-25T00:49:06ZengMDPI AGSymmetry2073-89942017-10-0191021810.3390/sym9100218sym9100218On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular TimeManuel Arrayás0José L. Trueba1Área de Electromagnetismo, Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles (Madrid), SpainÁrea de Electromagnetismo, Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles (Madrid), SpainA class of vacuum electromagnetic fields in which the field lines are knotted curves are reviewed. The class is obtained from two complex functions at a particular instant t = 0 so they inherit the topological properties of red the level curves of these functions. We study the complete topological structure defined by the magnetic and electric field lines at t = 0 . This structure is not conserved in time in general, although it is possible to red find special cases in which the field lines are topologically equivalent for every value of t.https://www.mdpi.com/2073-8994/9/10/218electromagnetic knotstorus knotsmaxwell equations in vacuum
collection DOAJ
language English
format Article
sources DOAJ
author Manuel Arrayás
José L. Trueba
spellingShingle Manuel Arrayás
José L. Trueba
On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time
Symmetry
electromagnetic knots
torus knots
maxwell equations in vacuum
author_facet Manuel Arrayás
José L. Trueba
author_sort Manuel Arrayás
title On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time
title_short On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time
title_full On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time
title_fullStr On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time
title_full_unstemmed On the Fibration Defined by the Field Lines of a Knotted Class of Electromagnetic Fields at a Particular Time
title_sort on the fibration defined by the field lines of a knotted class of electromagnetic fields at a particular time
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2017-10-01
description A class of vacuum electromagnetic fields in which the field lines are knotted curves are reviewed. The class is obtained from two complex functions at a particular instant t = 0 so they inherit the topological properties of red the level curves of these functions. We study the complete topological structure defined by the magnetic and electric field lines at t = 0 . This structure is not conserved in time in general, although it is possible to red find special cases in which the field lines are topologically equivalent for every value of t.
topic electromagnetic knots
torus knots
maxwell equations in vacuum
url https://www.mdpi.com/2073-8994/9/10/218
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AT joseltrueba onthefibrationdefinedbythefieldlinesofaknottedclassofelectromagneticfieldsataparticulartime
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