dorsal/arxiv
View SchemaSuperluminal X-shaped beams propagating without distortion along a coaxial guide
| Authors | M. Zamboni-Rached, K. Z. Nobrega, Erasmo Recami, H. E. Hernandez-Figueroa |
|---|---|
| Categories | |
| ArXiv ID | physics/0209104 |
| URL | https://arxiv.org/abs/physics/0209104 |
| DOI | 10.1103/PhysRevE.66.046617 |
| Journal | Physical Review E66 (2002) 046617 |
Abstract
In a previous paper [Phys. Rev. E64 (2001) 066603; e-print physics/0001039], we showed that localized Superluminal solutions to the Maxwell equations exist, which propagate down (non-evanescence) regions of a metallic cylindrical waveguide. In this paper we construct analogous non-dispersive waves propagating along coaxial cables. Such new solutions, in general, consist in trains of (undistorted) Superluminal "X-shaped" pulses. Particular attention is paid to the construction of finite total energy solutions. Any results of this kind may find application in the other fields in which an essential role is played by a wave-equation (like acoustics, geophysics, etc.). [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; Coaxial cables; Bidirectional decomposition; Bessel beams; X-shaped waves; Maxwell equations; Microwaves; Optics; Special relativity; Coaxial metallic waveguides; Acoustics; Seismology; Mechanical waves; Elastic waves; Guided gravitational waves.]
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"abstract": "In a previous paper [Phys. Rev. E64 (2001) 066603; e-print physics/0001039],\nwe showed that localized Superluminal solutions to the Maxwell equations exist,\nwhich propagate down (non-evanescence) regions of a metallic cylindrical\nwaveguide. In this paper we construct analogous non-dispersive waves\npropagating along coaxial cables. Such new solutions, in general, consist in\ntrains of (undistorted) Superluminal \"X-shaped\" pulses. Particular attention is\npaid to the construction of finite total energy solutions. Any results of this\nkind may find application in the other fields in which an essential role is\nplayed by a wave-equation (like acoustics, geophysics, etc.). [PACS nos.:\n03.50.De; 41.20;Jb; 83.50.Vr; 62.30.+d; 43.60.+d; 91.30.Fn; 04.30.Nk; 42.25.Bs;\n46.40.Cd; 52.35.Lv. Keywords: Wave equations; Wave propagation; Localized\nbeams; Superluminal waves; Coaxial cables; Bidirectional decomposition; Bessel\nbeams; X-shaped waves; Maxwell equations; Microwaves; Optics; Special\nrelativity; Coaxial metallic waveguides; Acoustics; Seismology; Mechanical\nwaves; Elastic waves; Guided gravitational waves.]",
"arxiv_id": "physics/0209104",
"authors": [
"M. Zamboni-Rached",
"K. Z. Nobrega",
"Erasmo Recami",
"H. E. Hernandez-Figueroa"
],
"categories": [
"physics.class-ph",
"physics.gen-ph",
"physics.optics"
],
"doi": "10.1103/PhysRevE.66.046617",
"journal_ref": "Physical Review E66 (2002) 046617",
"title": "Superluminal X-shaped beams propagating without distortion along a coaxial guide",
"url": "https://arxiv.org/abs/physics/0209104"
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