English

Rotating Electromagnetic Waves in Toroid-Shaped Regions

Classical Physics 2018-03-28 v1 Computational Physics

Abstract

Electromagnetic waves, solving the full set of Maxwell equations in vacuum, are numerically computed. These waves occupy a fixed bounded region of the three dimensional space, topologically equivalent to a toroid. Thus, their fluid dynamics analogs are vortex rings. An analysis of the shape of the sections of the rings, depending on the angular speed of rotation and the major diameter, is carried out. Successively, spherical electromagnetic vortex rings of Hill's type are taken into consideration. For some interesting peculiar configurations, explicit numerical solutions are exhibited.

Keywords

Cite

@article{arxiv.1002.1206,
  title  = {Rotating Electromagnetic Waves in Toroid-Shaped Regions},
  author = {Claudia Chinosi and Lucia Della Croce and Daniele Funaro},
  journal= {arXiv preprint arXiv:1002.1206},
  year   = {2018}
}

Comments

27 pages, 40 figures

R2 v1 2026-06-21T14:43:48.881Z