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New localized Superluminal solutions to the wave equations with finite total energies and arbitrary frequencies Abstract – By a generalized bidirectional decomposition method, we obtain new Super-luminal localized solutions to the wave equation (for the electromagnetic case, in particular) which are suitable for arbitrary frequency bands; several of them… (More)

In the first part of this article (after a sketchy theoretical introduction) the various experimental sectors of physics in which Superluminal motions seem to appear are briefly mentioned. In particular, a bird's-eye view is presented of the experiments with evanescent waves (and/or tunneling photons), and with the " localized Superlumi-nal solutions "… (More)

- Michel Zamboni-Rached, K Z Nóbrega, Erasmo Recami, Hugo Enrique Hernández-Figueroa
- Physical review. E, Statistical, nonlinear, and…
- 2002

In a previous paper we showed that localized superluminal solutions to the Maxwell equations exist, which propagate down (nonevanescence) regions of a metallic cylindrical waveguide. In this paper we construct analogous nondispersive waves propagating along coaxial cables. Such new solutions, in general, consist in trains of (undistorted) superluminal… (More)

- Michel Zamboni-Rached, Amr M Shaarawi, Erasmo Recami
- Journal of the Optical Society of America. A…
- 2004

The space-time focusing of a (continuous) succession of localized X-shaped pulses is obtained by suitably integrating over their speed, i.e., over their axicon angle, thus generalizing a previous (discrete) approach. New superluminal wave pulses are first constructed and then tailored so that they become temporally focused at a chosen spatial point, where… (More)

– In this paper it is shown how one can use Bessel beams to obtain a stationary localized wavefield with high transverse localization, and whose longitudinal intensity pattern can assume any desired shape within a chosen interval 0 ≤ z ≤ L of the propagation axis. This intensity envelope remains static, i.e., with velocity v = 0; and because of this we call… (More)

- Erasmo Recami, Michel Zamboni-Rached, César A Dartora
- Physical review. E, Statistical, nonlinear, and…
- 2004

It is now well known that Maxwell equations admit of wavelet-type solutions endowed with arbitrary group velocities (0< v(g)< infinity). Some of them, which are rigidly moving and have been called localized solutions, attracted large attention. In particular, much work has been done with regard to the superluminal localized solutions (SLSs), the most… (More)

– In the first part of this paper (mainly a review) we present general and formal (simple) introductions to the ordinary gaussian waves and to the Bessel waves, by explicitly separating the cases of the beams from the cases of the pulses; and, finally, an analogous introduction is presented for the Localized Waves (LW), pulses or beams. Always we stress the… (More)

0.1 INTRODUCTION Since the early works[1-4] on the so-called nondiffracting waves (called also Localized Waves), a great deal of results has been published on this important subject, from both the theoretical and the experimental point of view. Initially, the theory was developed taking into account only free space; however, in recent years, it has been… (More)

- Michel Zamboni-Rached, Erasmo Recami, Ioannis M Besieris
- Journal of the Optical Society of America. A…
- 2010

Localized waves (LW) are nondiffracting ("soliton-like") solutions to the wave equations and are known to exist with subluminal, luminal, and superluminal peak velocities V. For mathematical and experimental reasons, those that have attracted more attention are the "X-shaped" superluminal waves. Such waves are associated with a cone, so that one may be… (More)

- Michel Zamboni-Rached
- Optics express
- 2006

In this work, in terms of suitable superpositions of equal-frequency Bessel beams, we develop a theoretical method to obtain localized stationary wave fi elds, in absorbing media, capable to assume, approximately, any desired longitudinal intensity pattern within a chosen interval 0 </= z </= L of the propagation axis z. As a particular case, we obtain new… (More)