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ROTATING ELECTROMAGNETIC WAVES IN TOROID-SHAPED REGIONS

Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Viale Teresa Michel 11, 15121 Alessandria, Italy

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LUCIA DELLA CROCE

Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy

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, and

DANIELE FUNARO

Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, 41125 Modena, Italy

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https://doi.org/10.1142/S0129183110014926Cited by:7 (Source: Crossref)

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:

PACS: 41.20.Jb, 47.32.Ef, 02.70.Dh

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