New localized Superluminal solutions to the wave equations with finite total energies and arbitrary frequencies
arXiv:physics/0109062 · doi:10.1140/epjd/e2002-00198-7
Abstract
By a generalized bidirectional decomposition method, we obtain many new Superluminal localized solutions to the wave equation (for the electromagnetic case, in particular) which are suitable for arbitrary frequency bands; various 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. [PACS nos.: 03.50.De; 41.20;Jb; 83.50.Vr; 62.30.+d; 43.60.+d; 91.30.Fn; 04.30.Nk; 42.25.Bs; 46.40.Cd; 52.35.Lv. Keywords: Wave equations; Wave propagation; Localized beams; Superluminal waves; Bidirectional decomposition; Bessel beams; X-shaped waves; Microwaves; Optics; Special relativity; Acoustics; Seismology; Mechanical waves; Elastic waves; Gravitational waves; Elementary particle physics].
plain LaTeX file (29 pages), plus 11 figures. Replaced with addition of the FIGURES that were lacking (or poor) in the previous submissions. In press in Europ. Phys. Journal-D
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