Superluminal X-shaped beams propagating without distortion along a coaxial guide
arXiv:physics/0209104 · doi:10.1103/PhysRevE.66.046617
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.]
plain LaTeX file (22 pages), plus 15 figures; in press in Phys. Rev. E
References in corpus (5)
- Measurement of Superluminal optical tunneling times in double-barrier photonic bandgaps
- New localized Superluminal solutions to the wave equations with finite total energies and arbitrary frequencies
- Superoscillations and tunneling times
- Superluminal motions? A bird-eye view of the experimental situation
- About Superluminal motions and Special Relativity: A Discussion of some recent Experiments, and the solution of the Causal Paradoxes
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- Superluminal Localized Solutions to the wave equation, in (vacuum or) dispersive media, for arbitrary frequencies and with adjustable bandwidth
- Superluminal Localized Solutions to Maxwell Equations propagating along a waveguide: The finite-energy case
- Localized Waves: A not-so-short Review
- Focused X-shaped (Superluminal) pulses
- The X-shaped, localized field generated by a Superluminal electric charge
- V-Waves: Spatio-temporally induced group-velocity dispersion in free space
- Diffraction-free subwavelength-beam optics
- Soliton-like solutions to the ordinary Schroedinger equation
- Diffraction-free beams in thin films
- Theory of space-time supermodes in planar multimode waveguides