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The concept of superbandwidth refers to the fact that a band-limited signal can exhibit, locally, an increase of its bandwidth, i.e., an effective bandwidth greater than that predicted by its Fourier transform. In this work, we study the…

This paper is concerned with the transient dynamics described by the solutions of the reaction-diffusion equations in which the reaction term consists of a combination of a superlinear power-law absorption and a time-independent point…

Analysis of PDEs · Mathematics 2015-11-10 Peter V. Gordon , Cyrill B. Muratov

Propagation of light pulses through negative group velocity media is known to give rise to a number of paradoxical situations that seem to violate causality. The solution of these paradoxes has triggered the investigation of a number of…

Quantum Physics · Physics 2015-05-28 T. Lauprêtre , S. Schwartz , R. Ghosh , I. Carusotto , F. Goldfarb , F. Bretenaker

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

In 1907 Einstein discussed with Wilhelm Wien the occurrences of superluminal velocities in dispersive and absorptive media. Einstein tried to present to Wien an expression for the group velocity in dispersive media that was based on his…

History and Philosophy of Physics · Physics 2012-03-23 Galina Weinstein

It says in the report$^1$ by Wang et al. that a negative group velocity $u=-c/310$ is obtained and that a pulse advancement shift 62-ns is measured. The authors claim that the negative group velocity is associated with superluminal light…

General Physics · Physics 2007-05-23 Yuan-Zhong Zhang

In this paper, we study theoretically the behavior of a pulse as it propagates through an intracavity fast-light medium. The method of using a transfer function to determine a pulse after it passes through a cavity is well known. However,…

Optics · Physics 2011-01-04 Honam Yum , Youngjoon Jang , Selim Shahriar

Within the low-energy effective field theories of QED and gravity, the low-energy speed of light or that of gravitational waves can typically be mildly superluminal in curved spacetimes. Related to this, small scattering time advances…

High Energy Physics - Theory · Physics 2020-10-28 Claudia de Rham , Andrew J. Tolley

In this paper we show that the Scharnhorst effect (Vacuum with boundaries or a Casimir type vacuum) cannot be used to generate signals showing measurable faster-than-c speeds. Furthermore, we aim to show that the Scharnhorst effect would…

Quantum Physics · Physics 2008-11-26 Heidi Fearn

The speed of light in vacuum, $c$, is a fundamental constant of nature. Photons belonging to a structured beam of finite transverse size, generated by a spatial light modulator, have been observed to travel with a group velocity, $v_g$,…

Conventional textbook treatments on electromagnetic wave propagation consider the induced charge and current densities as "bound", and therefore absorb them into a refractive index. In principle it must also be possible to treat the medium…

Classical Physics · Physics 2018-06-18 Hans Olaf Hågenvik , Kjell Bløtekjær , Johannes Skaar

In this paper we show that a process modeled by a strongly continuous real-valued semigroup (that has a space convolution operator as infinitesimal generator) cannot satisfy causality. We present and analyze a causal model of diffusion that…

Analysis of PDEs · Mathematics 2012-03-05 Richard Kowar

Theoretical and numerical wave propagation analysis of an oscillating electric dipole is presented. The results show that upon creation at the source, both the longitudinal electric and transverse magnetic fields propagate superluminally…

General Physics · Physics 2007-05-23 William D. Walker

Slow light in moving media reaches a paradoxical regime when the flow speed of the medium approaches the group velocity of light. Pulses can penetrate a region where a counter-propagating flow exceeds the group velocity. When the…

Quantum Physics · Physics 2009-11-06 J. Fiurasek , U. Leonhardt , R. Parentani

We discuss applications of the quantile concept of trajectories and velocities to the propagation of electromagnetic signals in wave guides of varying cross section. Quantile motion is a general description of the transport properties of…

Classical Physics · Physics 2017-09-27 H. D. Dahmen , E. Gjonaj , T. Stroh

We consider the superfluid phase of a specific renormalizable relativistic quantum field theory. We prove that, within the regime of validity of perturbation theory and of the superfluid effective theory, there are consistent and regular…

High Energy Physics - Theory · Physics 2023-05-22 Ioanna Kourkoulou , Michael J. Landry , Alberto Nicolis , Klaas Parmentier

A collisionless continuous medium in Euclidean space is discussed, i.e. a continuum of free particles moving inertially, without interacting with each other. It is shown that the distribution density of such medium is weakly converging to…

Chaotic Dynamics · Physics 2007-05-23 V. V. Kozlov

The applied method of the amplitude envelopes give us the possibility to describe a new class of amplitude equations governing the propagation of optical pulses in media with dispersion, dispersionless media and vacuum. We normalized these…

Pattern Formation and Solitons · Physics 2007-05-23 Lubomir M. Kovachev

We propose a quantum model for the vacuum filled of virtual particle pairs. The main originality of this model is to define a density and a life-time of the virtual particles. Compared to the usual QED $(p,E)$ framework, we add here the…

General Physics · Physics 2011-06-21 M. Urban , F. Couchot , X. Sarazin

The modelling of light-like signals in General Relativity taking the form of impulsive gravitational waves and light-like shells of matter is examined. Systematic deductions from the Bianchi identities are made. These are based upon…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barrabès , P. A. Hogan
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