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In recent years, there has been considerable interest in the study of wave propagation in nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led researchers to manipulate light and discover new and…

Pattern Formation and Solitons · Physics 2022-12-26 Mark J. Ablowitz , Justin T. Cole

Motivated by recent experimental results, we demonstrate that the ubiquitous pulse propagation equation based on a single generalized nonlinear Schroedinger equation is incomplete and inadequate to explain the formation of the so called…

Optics · Physics 2013-05-31 Matteo Conforti , Andrea Marini , Daniele Faccio , Fabio Biancalana

We analyze the propagation of light in the context of nonlinear electrodynamics, as it occurs in modified QED vacua. We show that the corresponding characteristic equation can be described in terms of a modification of the effective…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Novello , V. A. De Lorenci , J. M. Salim , R. Klippert

Using concepts from fluid dynamics, a partial differential equation for the shape evolution of a metallic nanowire is derived from a semiclassical energy functional that includes electron-shell effects. A rich dynamics, involving movement…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Bürki

We theoretically propose and investigate an optical analogue of neutrino oscillations in a pair of vertically displaced binary waveguide arrays with longitudinally modulated effective refractive index. Optical propagation is modelled…

Optics · Physics 2014-10-15 Andrea Marini , Stefano Longhi , Fabio Biancalana

We present a novel general framework to deal with forward and backward components of the electromagnetic field in axially-invariant nonlinear optical systems, which include those having any type of linear or nonlinear transverse…

I derive unidirectional wave equations for fields propagating in materials with both electric and magnetic dispersion and nonlinearity. The derivation imposes no conditions on the pulse profile except that the material modulates the…

Optics · Physics 2014-08-04 Paul Kinsler

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

We derive a nonlinear envelope equation to describe the propagation of broadband optical pulses in second order nonlinear materials. The equation is first order in the propagation coordinate and is valid for arbitrarily wide pulse…

Optics · Physics 2013-08-09 Matteo Conforti , Fabio Baronio , Costantino De Angelis

We show that QED nonlinear effects imply a phase correction to the linear evolution of electromagnetic waves in vacuum. We provide explicit solutions of the modified Maxwell's equations for the propagation of a superposition of two plane…

Optics · Physics 2009-11-13 Albert Ferrando , Humberto Michinel , Marcos Seco , Daniele Tommasini

We investigated the effects of the momentum spread of photon around incoming electrons during nonlinear Compton scattering of an elliptically polarized laser off an ultrarelativistic electron beam. It has been assumed to be a good…

High Energy Physics - Phenomenology · Physics 2023-04-13 Ya-Nan Dai , Jing-Jing Jiang , Yu-Hang Jiang , Rashid Shaisultanov , Yue-Yue Chen

We here derive the so-called Nonlinear Analytical Envelope Equation (NAEE) inspired by the work of Conforti et al. [M. Conforti, A. Marini, T. X. Tran, D. Faccio, and F. Biancalana, "Interaction between optical fields and their conjugates…

Optics · Physics 2016-03-02 Morten Bache

We consider emission of a photon by an electron in the field of a strong laser wave. Polarization effects in this process are important for a number of physical problems. We discuss a probability of this process for circularly polarized…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Yu. Ivanov , G. L. Kotkin , V. G. Serbo

We study in detail the scattering of light on a soliton propagating in a waveguide which has been proposed as an experimental system in which one could observe the analogue Hawking effect. When not applying the rotating wave approximation,…

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 have developed a computational method to describe the nonlinear light propagation of an intense and ultrashort pulse at oblique incidence on a flat surface. In the method, coupled equations of macroscopic light propagation and…

Optics · Physics 2022-06-29 Mitsuharu Uemoto , Kazuhiro Yabana

Laser fields can be shaped on a subwavelength scale as to have a specific distribution in spin angular momentum, orbital structure, or topology. We study how these various features affect the strongly nonlinear electron dynamics.…

Quantum Physics · Physics 2020-12-30 Jonas Wätzel , Jamal Berakdar

A new rigorous approach for precise and efficient calculation of light propagation along non-uniform waveguides is presented. Resonant states of a uniform waveguide, which satisfy outgoing-wave boundary conditions, form a natural basis for…

Optics · Physics 2017-06-22 S. V. Lobanov , G. Zoriniants , W. Langbein , E. A. Muljarov

We theoretically demonstrate direction-dependent polarization conversion efficiency, yielding unidirectional light transmission, through a two-layer nanostructure by using the angular spectrum representation of optical near-fields. The…

The influence of coherent optical nonlinearities on polariton propagation effects is studied within a theory-experiment comparison. A novel approach that combines a microscopic treatment of the boundary problem in a sample of finite…

Other Condensed Matter · Physics 2009-11-11 S. Schumacher , G. Czycholl , F. Jahnke , I. Kudyk , L. Wischmeier , I. Rückmann , T. Voss , J. Gutowski , A. Gust , D. Hommel
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