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The notion of traveling wave, which typically refers to some particular spatio-temporal con- nections between two stationary states (typically, entire solutions keeping the same profile's shape through time), is essential in the…

Analysis of PDEs · Mathematics 2013-04-04 Thomas Giletti

We present a general proof based on Kramers-Kronig relations that, in a normal or anomalous dispersive linear medium, any (discontinuitynonanalytic disturbance) in an electromagnetic pulse can not propagate faster than the phase velocity,…

Classical Physics · Physics 2007-05-23 Shi-Yao Zhu , Ya-Ping Yang , Li-Gang Wang , Nian-Hua Liu , M. Suhail Zubairy

The fundamental solution of a variant of the three-dimensional wave equation known as "unidirectional pulse propagation equation" (UPPE) and its paraxial approximation is obtained. It is shown that the fundamental solution can be presented…

Mathematical Physics · Physics 2015-06-19 I. Babushkin , L. Bergé

We construct pulse-type approximate solutions to nonlinear hyperbolic equations near diffractive points, allowing arbitrary (even infinite) order of grazing. We show that in low regularity spaces and the high frequency limit, such solutions…

Analysis of PDEs · Mathematics 2026-05-01 Jian Wang , Mark Williams

We observe pulse delays of up to twenty times the input pulse duration when 200-ps laser pulses pass through a hot Rb 85 vapor cell. The pulse peak travels with a velocity equal to c/20, and the energy transmission is 5%. For pulses with…

Optics · Physics 2015-06-26 Wenhai Ji , Chunbai Wu , M. G. Raymer

A single laser pulse with spot size smaller than half its wavelength ($w_0 < \lambda/2$) can provide a net energy gain to ultra-relativistic particles. In this paper, we discuss the properties of an optical cell consisting of $N$ sub-cycle…

Optics · Physics 2014-07-23 F. Terranova

Experimentally fixed sound pulse beyond of light speed in the region of anomalous dispersion [W. M. Robertson, e. a. Appl. Phys. Lett, 90, 014102 (2007)] can be explained, as well as the similar superluminal phenomena, by "the nonlocality…

Classical Physics · Physics 2007-07-12 M. E. Perel'man

This report is a self-contained and comprehensive review of the physics of propagating pulses of high-intensity high-energy particle beams in pre-existing or self-generated plasmas. Consideration is given to beams of electrons, protons,…

Plasma Physics · Physics 2009-01-11 Andre Gsponer

Traveling modulating pulse solutions consist of a small amplitude pulse-like envelope moving with a constant speed and modulating a harmonic carrier wave. Such solutions can be approximated by solitons of an effective nonlinear Schrodinger…

Analysis of PDEs · Mathematics 2024-03-07 Tomas Dohnal , Dmitry E. Pelinovsky , Guido Schneider

A number of general issues relating to superluminal photon propagation in gravitational fields are explored. The possibility of superluminal, yet causal, photon propagation arises because of Equivalence Principle violating interactions…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. M. Shore

In this work a new mechanics will be studied which is based on the hypothesis that the change of linear momentum of a particle happens as a discrete pulses. By using this hypothesis and by considering Newton's relation between energy and…

General Physics · Physics 2015-06-26 Munir Al-Hashimi

Traditionally one defines the speed of a wave as a property of the medium. Recent studies in photonics have challenged this idea, indicating that spatial shaping of the optical wavefront has can alter the arrival time of single photons when…

Reproducing measurements of the scattering mean free paths for energetic particles propagating through the solar system has been a major problem in space physics. The pioneering work of Bieber et al. [Astrophys. J. 420, 294 (1994)] provided…

High Energy Astrophysical Phenomena · Physics 2013-06-17 R. C. Tautz , A. Shalchi

The existence of resonant enhanced transmission and collimation of light waves by subwavelength slits in metal films [for example, see T.W. Ebbesen et al., Nature (London) 391, 667 (1998) and H.J. Lezec et al., Science, 297, 820 (2002)]…

Optics · Physics 2013-05-29 S. V. Kukhlevsky , M. Mechler , L. Csapo , K. Janssens , O. Samek

The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying frequency is close to the frequency of an interband transition in a QW (QW), are obtained. The energy levels of a QW are assumed discrete, one…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. I. Korovin , I. G. Lang , D. A. Contreras-Solorio , S. T. Pavlov

Reflection of a normal incident matter wave by a perfectly reflecting wall moving with a constant velocity is investigated. A surprising phenomenon is found-that if the the wall moves faster than the phase velocity of the incident wave,…

Quantum Physics · Physics 2007-05-23 Pi-Gang Luan , Yee-Mou Kao

Unidirectional pulse propagation equations [UPPE, Phys. Rev. E 70, 036604 (2004)] have provided a theoretical underpinning for computer-aided investigations into dynamics of high-power ultrashort laser pulses and have been successfully…

Optics · Physics 2012-10-02 J. Andreasen , M. Kolesik

We generalise the concept of radially self-accelerating beams, to the domain of optical pulses. In particular, we show, how radially self-accelerating optical pulses (RSAPs) can be constructed by suitable superpositions of X-waves, which…

Optics · Physics 2019-03-06 Marco Ornigotti , Alexander Szameit

Anomalous dispersion cannot occur in a transparent passive medium where electromagnetic radiation is being absorbed at all frequencies, as pointed out by Landau and Lifshitz. Here we show, both theoretically and experimentally, that…

Optics · Physics 2009-11-06 A. Dogariu , A. Kuzmich , L. J. Wang

In this paper we present a pedestrian review of the theoretical fact that all relativistic wave equations possess solutions of arbitrary velocities $0 \leq v < \infty$. We discuss some experimental evidences of $v \geq c$ transmission of…

Popular Physics · Physics 2007-05-23 J. E. Maiorino , W. A. Rodrigues