https://doi.org/10.1140/epjp/s13360-023-04780-x
Regular Article
Standing wave solutions for the Free Maxwell Equations in Vacuum with azimuthal symmetry in cylindrical coordinates
1
Unidad Académica de Física, Universidad Autónoma de Zacatecas, Av. Solidaridad s/n, Apartado Postal C-580, 98060, Zacatecas, Zacatecas, Mexico
2
Unidad Académica de Ciencia y Tecnología de la Luz y la Materia, Universidad Autónoma de Zacatecas, Circuito Marie Curie S/N, Parque de Ciencia y Tecnología QUANTUM Ciudad del Conocimiento, 98160, Zacatecas, Zacatecas, Mexico
Received:
1
October
2023
Accepted:
6
December
2023
Published online:
22
December
2023
The aim of this paper is to get analytical solutions for the Free Maxwell Equations in Vacuum, using a cylindrical coordinate system, considering axial symmetry. The solutions represent steady-state electromagnetic field configurations in the form of closed magnetic surfaces where the magnetic field is time-dependent and tangential on these surfaces, and there is no electric field on them, and each of these closed surfaces includes a ring-like configuration of time-dependent electric field and tangential to the ring, without magnetic field on them. We analyse the temporal variation of the energy density together with the Poynting vector field, which describes the electromagnetic energy flow. We conclude that these configurations behave as standing wave solutions.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 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.
