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The dispersion-managed (DM) optical system with step-wise periodical variation of dispersion is studied in the framework of path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by iterating the path-averaged equation.…

斑图形成与孤子 · 物理学 2016-09-07 P. M. Lushnikov

Oscillating tails of dispersion-managed optical fiber system are studied for strong dispersion map in the framework of path-averaged Gabitov-Turitsyn equation. The small parameter of the analytical theory is the inverse time. An exponential…

斑图形成与孤子 · 物理学 2015-06-26 Pavel M. Lushnikov

Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model. In the normal regime of the dispersion map (when the averaged path dispersion is negative), there are two solitons of…

斑图形成与孤子 · 物理学 2009-10-31 Dmitry Pelinovsky

The existence regimes and dynamics of soliton molecules in dispersion-managed (DM) optical fibers have been studied. Initially we develop a variational approximation (VA) for description of periodic dynamics of a soliton molecule within…

斑图形成与孤子 · 物理学 2014-06-10 S. M. Alamoudi , U. Al Khawaja , B. B. Baizakov

A breathing soliton-like structure in dispersion-managed (DM) optical fiber system is studied. It is proven that for negative average dispersion the breathing soliton is forbidden provided that a modulus of average dispersion exceed a…

斑图形成与孤子 · 物理学 2009-10-31 P. M. Lushnikov

We show that any weak solution of the Gabitov-Turitsyn equation describing dispersion managed solitons together with its Fourier transform decay exponentially. This strong regularity result extends a recent result of Erdogan, Hundertmark…

偏微分方程分析 · 数学 2013-09-05 William R. Green , Dirk Hundertmark

We show that any $L^2$ solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov's conjecture of exponential decay of…

数学物理 · 物理学 2010-09-21 M. Burak Erdogan , Dirk Hundertmark , Young-Ran Lee

We develop the scheme of dispersion management (DM) for three-dimensional (3D) solitons in a multimode optical fiber. It is modeled by the parabolic confining potential acting in the transverse plane in combination with the cubic…

The existence of a dispersion-managed soliton in two-dimensional nonlinear Schr\"odinger equation with periodically varying dispersion has been explored. The averaged equations for the soliton width and chirp are obtained which successfully…

软凝聚态物质 · 物理学 2009-11-10 F. Kh. Abdullaev , B. B. Baizakov , M. Salerno

We address the generation and interaction of dispersion-managed dissipative solitons (DMDS) in a model of fiber lasers with the cubic-quintic nonlinearity, multiphoton absorption and gain dispersion. Both anomalous and normal segments of…

斑图形成与孤子 · 物理学 2018-09-26 Gurkirpal Singh Parmar , Rajib Pradhan , B. A. Malomed , Soumendu Jana

The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schr\"{o}dinger equation with periodically modulated and sign-variable dispersion is now well known in nonlinear optics. Our…

可精确求解与可积系统 · 物理学 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw

We study the stability and the dynamics of many-soliton molecules in dispersion-managed (DM) optical fibers with focus on five-and seven-soliton molecules by analytical and numerical means. In particular we calculate the binding force,…

斑图形成与孤子 · 物理学 2017-11-22 Abdelaali Boudjemaa

This work models the propagation of an optical pulse in a 4-level atomic system in the electromagnetic induced transparency regime. By demonstrating that linear and nonlinear optical properties can be externally controlled and tailored by a…

光学 · 物理学 2018-10-11 Nuno A. Silva , André L. Almeida , A. Guerreiro

The bright matter wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged over rapid oscillations Gross-Pitaevskii (GP) equation is derived. It is shown that the soliton is dynamically…

其他凝聚态物理 · 物理学 2015-06-25 Fatkhulla Kh. Abdullaev , Josselin Garnier

A coupled pair of waveguides with refractive indices of different signs is considered. It is shown that the gap in the linear wave spectrum closes if these waves are amplitude modulated. To look for solitons as envelopes of exponentially…

光学 · 物理学 2025-05-01 Shaykin Dmitriy

The propagation of optical pulses in two types of fibers with randomly varying dispersion is investigated. The first type refers to a uniform fiber dispersion superimposed by random modulations with a zero mean. The second type is the…

斑图形成与孤子 · 物理学 2009-11-10 F. Kh. Abdullaev , D. V. Navotny , B. B. Baizakov

Soliton molecules (SMs) are fundamentally important modes in nonlinear optical systems. It is a challenge to experimentally produce SMs with a required temporal separation in mode-locked fiber lasers. Here, we propose and realize an…

光学 · 物理学 2022-02-09 Shilong Liu , Yudong Cui , Ebrahim Karimi , Boris A. Malomed

We predict new phenomena, such as soliton steering and soliton fission, in optical lattices that fade away exponentially along the propagation direction. Such lattices, featuring tunable decay rates, arise in photorefractive crystals in the…

光学 · 物理学 2009-11-11 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We quantify noise-induced phase deviations of dispersion-managed solitons in optical fiber communications and femtosecond lasers. We first develop a perturbation theory for the dispersion-managed nonlinear Schrodinger equation (DMNLSE) in…

斑图形成与孤子 · 物理学 2009-07-15 Elaine Spiller , Gino Biondini

In this work, we study the propagation of solitons in lossy optical fibers. The main objective of this work is to study the loss of energy of the soliton wave during propagation and then to evaluate the impact of this loss on the…

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