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Steady-state magnetic trap configurations for the axially symmetric free electromagnetic field in vacuum

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Abstract

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.

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All data generated or analysed during this study are included in this published article (and its supplementary information files).

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Notes

  1. All graphics were made using MathematicaTM.

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Author notes

  1. A. Gutiérrez-Rodríguez and Augusto Espinoza Garrido have contributed equally to this work.

Authors and Affiliations

  1. Unidad Académica de Física, Universidad Autónoma de Zacatecas, Av. Solidaridad s/n, Apartado Postal C-580, Zacatecas, 98060, Mexico

    David A. Pérez-Carlos & A. Gutiérrez-Rodríguez

  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

    Augusto Espinoza Garrido

Authors
  1. David A. Pérez-Carlos
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  2. A. Gutiérrez-Rodríguez
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  3. Augusto Espinoza Garrido
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Correspondence to David A. Pérez-Carlos.

Additional information

The original online version of this article was revised to delete subsections 5.1. to 5.1.3.

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Pérez-Carlos, D.A., Gutiérrez-Rodríguez, A. & Espinoza Garrido, A. Steady-state magnetic trap configurations for the axially symmetric free electromagnetic field in vacuum. Eur. Phys. J. Plus 138, 334 (2023). https://doi.org/10.1140/epjp/s13360-023-03945-y

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