2001/09/30 by Michel Zamboni-Rached, Michel Zamboni‐Rached, Erasmo Recami +2 · 4 citations
Physics and Astronomy · #Nonlinear Waves and Solitons #Orbital Angular Momentum in Optics #Quantum optics and atomic interactions #physics.gen-ph
paper · pdf · doi:10.1140/epjd/e2002-00198-7
published as Eur.Phys.J. D21 (2002) 217-228 · 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
arxiv created 2002/10/02 · openalex publication_date 2002/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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].