Abstract:
By a generalized bidirectional decomposition method, we obtain new Superluminal localized solutions to the wave equation (for the electromagnetic case, in particular) which are suitable for arbitrary frequency bands; several of them being endowed with finite total energy. We construct, among the others, an infinite family of generalizations of the so-called “X-shaped" waves. Results of this kind may find application in the other fields in which an essential role is played by a wave-equation (like acoustics, seismology, geophysics, gravitation, elementary particle physics, etc.).
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Received 23 June 2002 Published online 24 September 2002
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ID="a"Work partially supported by MIUR and INFN (Italy), and by FAPESP (Brazil). This paper did first appear as e-print physics/0109062 [and as preprint INFN/FM-01/02 (I.N.F.N.; Frascati, 2001)].
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ID="b"e-mail: recami@mi.infn.it
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Zamboni-Rached, M., Recami, E. & Hernández-Figueroa, H. New localized Superluminal solutions to the wave equations with finite total energies and arbitrary frequencies. Eur. Phys. J. D 21, 217–228 (2002). https://doi.org/10.1140/epjd/e2002-00198-7
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DOI: https://doi.org/10.1140/epjd/e2002-00198-7