New localized Superluminal solutions to the wave equations with finite total energies and arbitrary frequencies
- Cite this article as:
- Zamboni-Rached, M., Recami, E. & Hernández-Figueroa, H. Eur. Phys. J. D (2002) 21: 217. doi:10.1140/epjd/e2002-00198-7
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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.).