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A time-domain approach is proposed for the propagation of ultrashort electro- magnetic wave packets beyond the paraxial and the slowly-varying-envelope approximations. An analytical method based on perturbation theory is used to solve the…

Optics · Physics 2007-05-23 Charles Varin , Michel Piché

Fundamental to many applications of laser pulses in science and technology is an extended interaction length with matter that significantly exceeds the distance over which the pulse would normally diffract and transversely spread. At low…

Plasma Physics · Physics 2025-12-10 J. E. Shrock , B. Miao , E. Rockafellow , H. M. Milchberg

Quantum mechanics asserts that a wave packet must inevitably spread as time progresses since the dispersion relation for the quantum waves is assumed to be quadratic in the momentum k. However, this assumption does not consider the standard…

Quantum Physics · Physics 2007-05-23 S. Bruce

We report the observation of nonexponential decay of pulsed microwave transmission through quasi-one-dimensional random dielectric media that signals the breakdown of the diffusion model of transport for temporally coherent extended waves.…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. A. Chabanov , Z. Q. Zhang , A. Z. Genack

High-precision timing of millisecond pulsars (MSPs) over years to decades is a promising technique for direct detection of gravitational waves at nanohertz frequencies. Time-variable, multi-path scattering in the interstellar medium is a…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Anne M. Archibald , Vladislav I. Kondratiev , Jason W. T. Hessels , Daniel R. Stinebring

Toroidal electromagnetic pulses have been recently reported as nontransverse, space-time nonseparable topological excitations of free space [Nat. Photon. 16, 523-528 (2022)]. However, their propagation dynamics and topological…

Classical Physics · Physics 2026-01-06 Ren Wang , Zhi-Qiang Hu , Pan-Yi Bao , Shuai Shi , Bing-Zhong Wang , Nikolay I. Zheludev , Yijie Shen

In this work we experimentally achieve 1 kHz-wide directional band-gaps for elastic waves spanning a frequency range from approximately 8 to 11 kHz. One-way propagation is induced by way of a periodic waveguide consisting in an aluminum…

We investigate the propagation of surface waves along a spatially dispersive graphene sheet, including substrate effects. The proposed analysis derives the admittances of an equivalent circuit of graphene able to handle spatial dispersion,…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 J. S. Gomez-Diaz , J. R. Mosig , J. Perruisseau-Carrier

The propagation of small-amplitude inhomogeneous plane waves in an isotropic homogeneous incompressible Mooney--Rivlin material is considered when the material is maintained in a state of finite static homogeneous deformation. Disturbances…

Soft Condensed Matter · Physics 2013-05-02 Michel Destrade

Ultrafast pulses, particularly those with durations under 100 femtoseconds, are crucial in achieving unprecedented precision and control in light-matter interactions. However, conventional on-chip photonic platforms are not inherently…

Optics · Physics 2024-10-21 Ahmet Oguz Sakin , Ali Murat Demirtas , Hamza Kurt , Mehmet Unlu

We present shape-preserving spatially accelerating electromagnetic wavepackets in curved space: wavepackets propagating along non-geodesic trajectories while recovering their structure periodically. These wavepackets are solutions to the…

We discuss "the plane wave approximation" to quantum mechanical scattering using simple one-dimensional examples. The central points of the paper are that (a) plane waves should be thought of as infinitely wide wave packets, and (b) the…

Quantum Physics · Physics 2009-10-09 Travis Norsen , Joshua Lande , S. B. McKagan

In this article we develop an effective theory of pulse propagation in a nonlinear and disordered medium. The theory is formulated in terms of a nonlinear diffusion equation. Despite its apparent simplicity this equation describes novel…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 G. Schwiete , A. M. Finkel'stein

It is not fully understood how electromagnetic waves propagate through plasma density fluctuations when the size of the fluctuations is comparable with the wavelength of the incident radiation. In this paper, the perturbing effect of a…

Plasma Physics · Physics 2016-09-21 Alf Köhn , Eberhard Holzhauer , Jarrod Leddy , Matthew B Thomas , Roddy G L Vann

Using a dynamical model relevant to cold-atom experiments, we show that long-lasting exponential spreading of wave packets in momentum space is possible. Numerical results are explained via a pseudo-classical map, both qualitatively and…

Chaotic Dynamics · Physics 2012-01-13 Jiao Wang , Italo Guarneri , Giulio Casati , Jiangbin Gong

Space-time structuring of light - where spatial and temporal degrees of freedom are deliberately coupled and controlled - is an emerging area of optics that enables novel configurations of electromagnetic fields. Of particular importance…

We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. The response to a short mechanical excitation on one side of…

Statistical Mechanics · Physics 2007-05-23 Ellak Somfai , Jean-Noel Roux , Jacco H. Snoeijer , Martin van Hecke , Wim van Saarloos

Space-time light structuring has emerged as a very powerful tool for controlling the propagation dynamics of pulsed beam. The ability to manipulate and generate space-time distributions of light has been remarkably enhanced in past few…

Optics · Physics 2022-10-26 Pierre Béjot , Bertrand Kibler

Scattering of a Gaussian wavepacket from rectangular potential barriers with increasing widths or heights is studied numerically. It is seen that during a certain time interval the time-evolving transmission probability increases compared…

Quantum Physics · Physics 2015-06-22 H. Karami , S. V. Mousavi

We find the laws for the spreading of the spatial widths (parallel and transverse to the direction of average motion) of the relativistic position probability density for a massive, spinless particle. We find that when the momentum width of…

Quantum Physics · Physics 2018-04-04 Scott E. Hoffmann