dorsal/arxiv
View SchemaSuperluminal Localized Solutions to Maxwell Equations propagating along a waveguide: The finite-energy case
| Authors | M. Zamboni-Rached, Flavio Fontana, Erasmo Recami |
|---|---|
| Categories | |
| ArXiv ID | physics/0209102 |
| URL | https://arxiv.org/abs/physics/0209102 |
| DOI | 10.1103/PhysRevE.67.036620 |
| Journal | Physical Review E67 (2003) 036620 |
Abstract
In a previous paper of ours [Phys. Rev. E64 (2001) 066603, e-print physics/0001039] we have shown localized (non-evanescent) solutions to Maxwell equations to exist, which propagate without distortion with Superluminal speed along normal-sized waveguides, and consist in trains of "X-shaped" beams. Those solutions possessed therefore infinite energy. In this note we show how to obtain, by contrast, finite-energy solutions, with the same localization and Superluminality properties. [PACS nos.: 41.20.Jb; 03.50.De; 03.30.+p; 84.40.Az; 42.82.Et. Keywords: Wave-guides; Localized solutions to Maxwell equations; Superluminal waves; Bessel beams; Limited-dispersion beams; Finite-energy waves; Electromagnetic wavelets; X-shaped waves; Evanescent waves; Electromagnetism; Microwaves; Optics; Special relativity; Localized acoustic waves; Seismic waves; Mechanical waves; Elastic waves; Guided gravitational waves.]
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"abstract": "In a previous paper of ours [Phys. Rev. E64 (2001) 066603, e-print\nphysics/0001039] we have shown localized (non-evanescent) solutions to Maxwell\nequations to exist, which propagate without distortion with Superluminal speed\nalong normal-sized waveguides, and consist in trains of \"X-shaped\" beams. Those\nsolutions possessed therefore infinite energy. In this note we show how to\nobtain, by contrast, finite-energy solutions, with the same localization and\nSuperluminality properties. [PACS nos.: 41.20.Jb; 03.50.De; 03.30.+p; 84.40.Az;\n42.82.Et. Keywords: Wave-guides; Localized solutions to Maxwell equations;\nSuperluminal waves; Bessel beams; Limited-dispersion beams; Finite-energy\nwaves; Electromagnetic wavelets; X-shaped waves; Evanescent waves;\nElectromagnetism; Microwaves; Optics; Special relativity; Localized acoustic\nwaves; Seismic waves; Mechanical waves; Elastic waves; Guided gravitational\nwaves.]",
"arxiv_id": "physics/0209102",
"authors": [
"M. Zamboni-Rached",
"Flavio Fontana",
"Erasmo Recami"
],
"categories": [
"physics.class-ph",
"physics.gen-ph",
"physics.optics"
],
"doi": "10.1103/PhysRevE.67.036620",
"journal_ref": "Physical Review E67 (2003) 036620",
"title": "Superluminal Localized Solutions to Maxwell Equations propagating along a waveguide: The finite-energy case",
"url": "https://arxiv.org/abs/physics/0209102"
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