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Related papers: Nonlinearity Management in Optics: Experiment, The…

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Propagation of ultrashort light pulses in disordered multilayers is studied by using numerical simulations in time domain. We consider cases of instantaneous and noninstantaneous Kerr nonlinearities of the structure materials. The…

Optics · Physics 2014-05-13 Denis Novitsky

There is considerable fundamental and applicative interest in obtaining non-diffractive and non-dispersive spatio-temporal localized wave packets propagating in optical cubic nonlinear or Kerr media. Here, we analytically predict the…

Pattern Formation and Solitons · Physics 2016-05-04 F. Baronio , S. Wabnitz , Y. Kodama

Nonlinear optical methods are becoming ubiquitous in many areas of modern photonics. They are, however, often limited to a certain range of input parameters, such as pulse energy and average power, since restrictions arise from, for…

We present an optical fiber experiment in which we examine the space-time evolution of a modulationally unstable plane wave initially perturbed by a small noise. Using a recirculating fiber loop as experimental platform, we report the…

Optics · Physics 2019-09-04 Adrien Kraych , Dmitry Agafontsev , Stephane Randoux , Pierre Suret

The correlated behavior of electrons determines the structure and optical properties of molecules, semiconductor and other systems. Valuable information on these correlations is provided by measuring the response to femtosecond laser…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shaul Mukamel , Rafal Oszwaldowski , Lijun Yang

We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong nonlinear optical properties can have its polarization…

Analysis of PDEs · Mathematics 2025-05-05 Nikolas Eptaminitakis , Plamen Stefanov

We generalize the projection to orthogonal function basis (including polarization modes) method for nonlinear (Kerr medium) fiber and use this method in a case of two-mode waveguide. We consider orthogonal Bessel functions basis that fit…

Optics · Physics 2007-05-23 S. B. Leble , B. Reichel

A theoretical study of wave propagation in 1D metamaterial is presented. A system of nonlinear evolution equation for electromagnetic waves with both polarizations account is derived by means of projection operators method for general…

Optics · Physics 2018-02-28 Dmitrii Ampilogov , Sergey Leble

We implement variational shortcuts to adiabaticity for optical pulse compression in an active nonlinear Kerr medium with distributed amplification and spatially varying dispersion and nonlinearity. Starting with the hyperbolic secant…

Optics · Physics 2026-01-01 Yingjia Li , Koushik Paul , David Novoa , Xi Chen

We propose and demonstrate theoretically a method to achieve and design optical nonlinear responses through a light-mediated spatial hybridization of different standard nonlinearities. The mechanism is based on the fact that optical…

Optics · Physics 2008-04-24 Alessandro Ciattoni , Eugenio Del Re , Carlo Rizza , Andrea Marini

Propagation of ultrashort pulses at least a few tens of optical cycles in duration through a negative index material is investigated theoretically based on the generalized nonlinear Schr\"{o}dinger equation with pseudo-quintic nonlinearity…

Pattern Formation and Solitons · Physics 2021-09-22 Houria Triki , Vladimir I. Kruglov

Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the…

Pattern Formation and Solitons · Physics 2015-11-20 K. R. Khusnutdinova , M. R. Tranter

The nonlinear optical behavior of quantum systems plays a crucial role in various photonic applications. This study introduces a novel framework for understanding these nonlinear effects by incorporating gauge-covariant formulations based…

General Physics · Physics 2025-03-11 Jingxu Wu , Chenjia Li

A scalar Wigner distribution function for describing polarized light is proposed in analogy with the treatment of spin variables in quantum kinetic theory. The formalism is applied to the propagation of circularly polarized light in…

Optics · Physics 2015-06-11 T. Hansson , E. Wallin , G. Brodin , M. Marklund

We study the discrete nonlinear Schr\"odinger equation (DNLS) in an annular geometry with on-site defects. The dynamics of a traveling plane-wave maps onto an effective ''non-rigid pendulum'' Hamiltonian. The different regimes include the…

Statistical Mechanics · Physics 2009-11-07 A. Trombettoni , A. Smerzi , A. R. Bishop

Strichartz estimates, well-posedness theory and long time behavior for (nonlinear) Schr\"odinger equations on waveguide manifolds $\mathbb{R}^m \times \mathbb{T}^n$ are intensively studied in recent decades while the corresponding control…

Analysis of PDEs · Mathematics 2025-02-20 Jingrui Niu , Zehua Zhao

Coupled nonlinear Schr\"odinger equations model various physical phenomena, such as wave propagation in nonlinear optics, multi-component Bose-Einstein condensates, and shallow water waves. Despite their extensive applications, analytical…

Numerical Analysis · Mathematics 2024-07-29 Nate Lovett , Harish Bhatt

Unequal-time correlation functions fundamentally characterize emergent statistical properties in complex systems, yet their direct measurement in experiments is challenging. We report the experimental observation of two-time, ballistic…

Exactly Solvable and Integrable Systems · Physics 2026-01-30 Elias Charnay , Adrien Escoubet , Francois Copie , Stephane Randoux , Thibault Bonnemain , Alvise Bastianello , Pierre Suret

The excitation of soliton states in optical layers exhibiting Kerr nonlinearities is theoretically investigated. The optical transmission coefficient is obtained as a function of the nonlinearity power of an incident monochromatic…

We investigate non-autonomous solitons in a general coherently coupled nonlinear Schr\"odinger (CCNLS) system with temporally modulated nonlinearities and with an external harmonic oscillator potential. This general CCNLS system encompasses…

Pattern Formation and Solitons · Physics 2020-08-17 R. Babu Mareeswaran , K. Sakkaravarthi , T. Kanna
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