https://doi.org/10.1140/epjp/s13360-023-03945-y
Regular Article
Steady-state magnetic trap configurations for the axially symmetric free electromagnetic field in vacuum
1
Unidad Académica de Física, Universidad Autónoma de Zacatecas, Av. Solidaridad s/n, Apartado Postal C-580, 98060, Zacatecas, Mexico
2
Unidad Académica de Ciencia y Tecnología de la Luz y la Materia, Universidad Autónoma de Zacatecas, Carretera Federal 54, La Escondida, 98160, Zacatecas, Mexico
Received:
29
November
2022
Accepted:
30
March
2023
Published online:
17
April
2023
In this paper we deduce and obtain a set of exact axially symmetric independent solutions of the free Maxwell equations in vacuum that represent stable electromagnetic field configurations containing (i) spherical and conical surfaces where there is only time-dependent tangential magnetic field and no electric field, and (ii) ring-shaped formations with the time-dependent tangential electric field and zero magnetic fields. The magnetic surfaces are combined in such a way that they form magnetic traps, that is, these magnetic surfaces are the border of closed spatial regions, with the particularity that an electric ring is always contained within each magnetic trap. We carry out a detailed study of the spatial distribution of the energy density and the energy flux density.
The original online version of this article was revised to delete subsections 5.1. to 5.1.3.
A. Gutiérrez-Rodríguez and Augusto Espinoza Garrido have contributed equally to this work.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjp/s13360-023-03945-y.
A correction to this article is available online at https://doi.org/10.1140/epjp/s13360-023-04135-6.
Copyright comment corrected publication 2023
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. corrected publication 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
