ROTATING ELECTROMAGNETIC WAVES IN TOROID-SHAPED REGIONS

Claudia Chinosi (), Lucia Della Croce () and Daniele Funaro ()
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Claudia Chinosi: Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Viale Teresa Michel 11, 15121 Alessandria, Italy
Lucia Della Croce: Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy
Daniele Funaro: Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, 41125 Modena, Italy

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 01, 11-32

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: Electromagnetism; solitary wave; photon; optimal set; toroid; Hill's vortex; 41.20.Jb; 47.32.Ef; 02.70.Dh (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110014926

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