dorsal/arxiv
View SchemaSuperluminal Localized Solutions to the wave equation, in (vacuum or) dispersive media, for arbitrary frequencies and with adjustable bandwidth
| Authors | M. Zamboni-Rached, K. Z. Nobrega, H. E. Hernandez-Figueroa, Erasmo Recami |
|---|---|
| Categories | |
| ArXiv ID | physics/0209101 |
| URL | https://arxiv.org/abs/physics/0209101 |
| DOI | 10.1016/j.optcom.2003.08.022 |
| Journal | Optics Communications 226 (2003) 15-23 |
Abstract
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].
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"abstract": "In this paper we set forth new exact analytical Superluminal localized\nsolutions to the wave equation for arbitrary frequencies and adjustable\nbandwidth. The formulation presented here is rather simple, and its results can\nbe expressed in terms of the ordinary, so-called \"X-shaped waves\". Moeover, by\nthe present formalism we obtain the first analytical localized Superluminal\napproximate solutions which represent beams propagating in dispersive media.\nOur solutions may find application in different fields, like optics,\nmicrowaves, radio waves, and so on. [PACS nos.: 03.50.De ; 41.20.Jb ; 83.50.Vr\n; 62.30.+d ; 43.60.+d ; 91.30.Fn ; 04.30.Nk ; 42.25.Bs ; 46.40.Cd ; 52.35.Lv.\nKeywords: Wave equation; Wave propagation; Optics; Localized beams;\nSuperluminal waves; Bessel beams; X-shaped waves; Acoustics; Mechanical waves;\nDispersion compensation; Seismology; Geophysics; Gravitational Waves;\nElementary particle physics].",
"arxiv_id": "physics/0209101",
"authors": [
"M. Zamboni-Rached",
"K. Z. Nobrega",
"H. E. Hernandez-Figueroa",
"Erasmo Recami"
],
"categories": [
"physics.class-ph",
"physics.gen-ph",
"physics.optics"
],
"doi": "10.1016/j.optcom.2003.08.022",
"journal_ref": "Optics Communications 226 (2003) 15-23",
"title": "Superluminal Localized Solutions to the wave equation, in (vacuum or) dispersive media, for arbitrary frequencies and with adjustable bandwidth",
"url": "https://arxiv.org/abs/physics/0209101"
},
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