Superluminal X-wave propagation: Energy localization and velocity

D. Mugnai and I. Mochi
Phys. Rev. E 73, 016606 – Published 13 January 2006

Abstract

The electromagnetic propagation of a Bessel-X wave is analyzed on the basis of a vectorial treatment in order to obtain information about the propagation of energy flux and the velocity of the energy. Knowledge of these quantities is of great interest since they are connected to the production of localized electromagnetic energy and to the topic of superluminality, respectively. The electric and magnetic fields are obtained in the far-field approximation by considering a realistic situation able to generate a Bessel-X wave. The vectorial treatment confirms the capability of this kind of wave to localize energy, while, quite surprisingly, even if the group velocity is superluminal, the energy velocity is equal to the light speed.

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  • Received 13 June 2005

DOI:https://doi.org/10.1103/PhysRevE.73.016606

©2006 American Physical Society

Authors & Affiliations

D. Mugnai* and I. Mochi

  • “Nello Carrara” Institute of Applied Physics CNR, Via Panciatichi 64, 50127 Firenze, Italy

  • *Electronic address: d.mugnai@ifac.cnr.it
  • Permanent address: Osservatorio Astrofisico di Arcetri, L.go E. Fermi 5, 50125 Firenze, Italy.

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Issue

Vol. 73, Iss. 1 — January 2006

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