2002/09/29 by M. Zamboni-Rached, Michel Zamboni‐Rached, K.Z. Nóbrega +4 · 3 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Bandwidth (computing) #Bessel function #Classical mechanics #Computational physics #Formalism (music) #Gravitational wave #Nonlinear Photonic Systems #Optics #Orbital Angular Momentum in Optics #Physics #Quantum mechanics #Superluminal motion #Telecommunications #Wave equation #Wave propagation #physics.class-ph #physics.gen-ph #physics.optics
paper · pdf · doi:10.1016/j.optcom.2003.08.022
published as Optics Communications 226 (2003) 15-23 · plain LaTeX file (16 pages), plus 9 figures
arxiv created 2002/09/29 · openalex publication_date 2003/09/12 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we set forth new exact analytical Superluminal localized solutions to the wave equation for arbitrary frequencies and adjustable bandwidth. The formulation presented here is rather simple, and its results can be expressed in terms of the ordinary, so-called "X-shaped waves". Moeover, by the present formalism we obtain the first analytical localized Superluminal approximate solutions which represent beams propagating in dispersive media. Our solutions may find application in different fields, like optics, microwaves, radio waves, and so on. [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 equation; Wave propagation; Optics; Localized beams; Superluminal waves; Bessel beams; X-shaped waves; Acoustics; Mechanical waves; Dispersion compensation; Seismology; Geophysics; Gravitational Waves; Elementary particle physics].