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Related papers: On Coherent Optical Pulse Propagation in One-Dimen…

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We carry out a group-theoretical study of the pair of nonlinear Schr\"{o}dinger equations describing the propagation of waves in nonlinear birefringent optical fibers. We exploit the symmetry algebra associated with these equations to…

Condensed Matter · Physics 2009-10-22 E. Alfinito , M. Leo , R. A. Leo , G. Soliani , L. Solombrino

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

The dispersion of spin waves in vertical meander-shaped CoFeB thin films consisting of segments located at 90{\deg} angles with respect to each other is investigated by Brillouin light scattering spectroscopy. We reveal the periodic…

We numerically investigate the propagation of a self-compressed optical filament through a gas-glass-gas interface. Few-cycle light pulses survive a sudden and short order-of-magnitude increase of nonlinearity and dispersion, even when all…

Optics · Physics 2008-12-19 L. Berge , S. Skupin , G. Steinmeyer

We generalize the concept of nonlinear periodic structures to systems that show arbitrary spacetime variations of the refractive index. Nonlinear pulse propagation through these spatiotemporal photonic crystals can be described, for shallow…

Optics · Physics 2009-11-13 Fabio Biancalana , Andreas Amann , Eoin P. O'Reilly

We investigate the geometrical features of one-dimensional wave propagation, whose dynamics is described by the (2+1)-dimensional Lorentz group. We find many interesting geometrical ingredients such as spinorlike behavior of wave…

Quantum Physics · Physics 2008-11-26 M. Kitano

We propose the modulation of dispersion to prevent collapse of planar pulsed beams which propagate in Kerr-type self-focusing optical media. As a result, we find a new type of two-dimensional spatio-temporal solitons stabilized by…

Pattern Formation and Solitons · Physics 2009-11-10 Maria I. Rodas-Verde , Gaspar D. Montesinos , Humberto Michinel , Victor M. Perez-Garcia

Light propagation in curved spacetime is at the basis of some of the most stringent tests of Einstein's general relativity. At the same time, light propagation in media is at the basis of several communication systems. Given the ubiquity of…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Felix Spengler , Alessio Belenchia , Dennis Rätzel , Daniel Braun

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 investigate the problem of propagation of three-component resonant light pulses with adiabatically varying amplitudes through a medium consisting of atoms with the tripod level configuration. By means of both analytic and numerical…

Quantum Physics · Physics 2009-11-10 I. E. Mazets

We demonstrate an important role of the process of optical rectification in the theory of nonlinear wave propagation in quadratically nonlinear [or $\chi^{(2)}$ ] periodic optical media. We derive a novel physical model for gap solitons in…

patt-sol · Physics 2009-10-31 Takeshi Iizuka , Yuri Kivshar

We report an asymmetric behavior of optical pulses during their propagation through a time-varying linear optical medium. The refractive index of the medium is considered to be varying with time and complex such that a sufficient amount of…

Optics · Physics 2020-07-17 Piyali Biswas , Harsh K. Gandhi , Vaibhab Mishra , Somnath Ghosh

We study the behavior of shallow water waves propagating over bathymetry that varies periodically in one direction and is constant in the other. Plane waves traveling along the constant direction are known to evolve into solitary waves, due…

Analysis of PDEs · Mathematics 2025-05-21 David I. Ketcheson , Giovanni Russo

This article discusses the existence of solitary electromagnetic waves trapped in a self-generated Langmuir wave and embedded in an infinitely long circularly polarized electromagnetic wave propagating through a plasma. From the…

Plasma Physics · Physics 2011-04-18 G. Sánchez-Arriaga , E. Siminos , E. Lefebvre

Diffraction gratings synthetically moving at trans-luminal velocities contain points where wave and grating velocities are equal. We show these points can be understood as a series of optical event horizons where wave energy can be trapped…

Quantum Physics · Physics 2023-02-17 Simon A. R. Horsley , John B. Pendry

We study solitary wave solutions of the higher order nonlinear Schrodinger equation for the propagation of short light pulses in an optical fiber. Using a scaling transformation we reduce the equation to a two-parameter canonical form.…

patt-sol · Physics 2009-10-30 M. Gedalin , T. C. Scott , Y. B. Band

A potential for propagation of a wave in two dimensions is constructed from a random superposition of plane waves around all propagation angles. Surprisingly, despite the lack of periodic structure, sharp Bragg diffraction of the wave is…

Disordered Systems and Neural Networks · Physics 2022-05-26 Donghwan Kim , Eric J. Heller

We present a systematic study on linear propagation of ultrashort laser pulses in media with dispersion, dispersionless media and vacuum. The applied method of amplitude envelopes gives the opportunity to estimate the limits of slowly…

Optics · Physics 2008-01-15 Lubomir M. Kovachev

We describe propagation of light in a gas with periodic density modulation, demonstrating photonic-crystal-like refraction with negative refraction angles. We address the role of poorly defined boundaries and damping, and derive an optical…

Optics · Physics 2015-03-11 Marina Litinskaya , Evgeny A. Shapiro

We present an intuitive analytical model for extraordinary optical transmission (EOT) through corrugated metallic films. In the framework of this model, EOT emerges from standing wave resonances of the different diffraction orders, and is…

Optics · Physics 2010-11-17 Ilai Schwarz , Nitzan Livneh , Ronen Rapaport