Rotating Electromagnetic Waves in Toroid-Shaped Regions

Details Rotating Electromagnetic Waves in Toroid-Shaped Regions Rotating Electromagnetic Waves in Toroid-Shaped Regions

2010-02-05

arxiv.org/abs/1002.1206v1

International Journal of Modern Physics C, Vol.21, n.1 (2010) pp.11-32

Physics

Classical Physics

27 pages, 40 figures

Scientific paper

10.1142/S0129183110014926

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.

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