New localized Superluminal solutions to the wave equations with finite total energies and arbitrary frequencies |
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| Authors: | M Zamboni-Rached E Recami HE Hernández-Figueroa |
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| Institution: | (1) DMO-FEEC, State University of Campinas, Campinas S.P., Brazil, BR;(2) Facoltà di Ingegneria, Università statale di Bergamo, Dalmine (BG), Italy, IT;(3) INFN--Sezione di Milano, Milan, Italy, IT;(4) C.C.S., State University of Campinas, Campinas S.P., Brazil, BR |
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| 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.).
Received 23 June 2002 Published online 24 September 2002
RID="a"
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)].
RID="b"
ID="b"e-mail: recami@mi.infn.it |
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| Keywords: | PACS 03 50 De Classical electromagnetism Maxwell equations – 41 20 Jb Electromagnetic wave propagation radiowave propagation |
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