Superluminal X-shaped beams propagating without distortion along a coaxial guide

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.]Comment: plain LaTeX file (22 pages), plus 15 figures; in press in Phys. Rev.

On the Existence of Undistorted Progressive Waves (UPWs) of Arbitrary Speeds 0≤v<∞0 \leq v< \infty in Nature

We present the theory, the experimental evidence, and fundamental physical consequences concerning the existence of families of undistorted progressive waves (UPWs) of arbitrary speeds $0\leq v < \infty$, which are solutions of the homogeneous wave equation, Maxwell equations, and Dirac and Weyl equations.Comment: 77 pages, Latex article, with figures. Includes corrections to the published versio

SPATIOTEMPORALLY LOCALIZED NULL ELECTROMAGNETIC WAVES I. LUMINAL

Spatiotemporally localized luminal null electromagnetic fields are transverse with respect to the local flow of energy,which is equipartioned between the electric and magnetic fields,and the modulus of their local energy transport velocity equals the speed of light in vacuo. They have vortex structures on planes transverse to the direction of propagation,and,in general,are relatively simple so that explicit calculations can be made of the total energy and the total angular momentum they carry. A class of luminal null electromagnetic waves due originally to Robinson and Troutman is motivated by means of spherical Cunningham and Bateman transformations and their relationships to well-known scalar luminal localized waves are examined. This allows for the introduction of finite-energy localized null luminal electromagnetic waves with spatiotemporal spectra appropriate for applications in diverse physical areas

Oblique Airy Wavepackets In Bidispersive Optical Media

We show that a new class of skewed, non-spreading Airy wavepackets is possible in optical bidispersive systems. Their obliquity is found to have a profound effect on their spatiotemporal acceleration dynamics. Pertinent examples are provided. © 2010 Optical Society of America

Oblique Airy Wavepackets In Bidispersive Optical Media

We show that a new class of skewed, non-spreading Airy wavepackets is possible in optical bidispersive systems. Their obliquity is found to have a profound effect on their spatiotemporal acceleration dynamics. Pertinent examples are provided. © 2010 Optical Society of America

Oblique Airy Wave Packets In Bidispersive Optical Media

Using hyperbolic rotations, we show that a new class of skewed, nonspreading, accelerating Airy wave packets is possible in optical bidispersive systems. Their obliquity factor is found to have a profound effect on their spatiotemporal acceleration dynamics. Pertinent examples are provided. © 2010 Optical Society of America