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Related papers: Phase noise of dispersion-managed solitons

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We study noise-induced perturbations of dispersion-managed solitons by developing soliton perturbation theory for the dispersion-managed nonlinear Schroedinger (DMNLS) equation, which governs the long-term behavior of optical fiber…

Pattern Formation and Solitons · Physics 2009-11-13 Jinglai Li , Elaine Spiller , Gino Biondini

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…

Pattern Formation and Solitons · Physics 2014-06-10 S. M. Alamoudi , U. Al Khawaja , B. B. Baizakov

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…

Pattern Formation and Solitons · Physics 2009-11-10 F. Kh. Abdullaev , D. V. Navotny , B. B. Baizakov

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…

Pattern Formation and Solitons · Physics 2018-09-26 Gurkirpal Singh Parmar , Rajib Pradhan , B. A. Malomed , Soumendu Jana

We discuss averaging for dispersion-managed nonlinear Schr\"odinger equations in the fast dispersion management regime, with an application to the problem of constructing soliton-like solutions to dispersion-managed nonlinear Schr\"odinger…

Analysis of PDEs · Mathematics 2024-12-16 Jason Murphy

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…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw

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.…

Pattern Formation and Solitons · Physics 2016-09-07 P. M. Lushnikov

A general theory of nonlinear signal-noise interactions for wavelength division multiplexed fiber-optic coherent transmission systems is presented. This theory is based on the regular perturbation treatment of the nonlinear Schrodinger…

Information Theory · Computer Science 2017-04-24 Amirhossein Ghazisaeidi

The ionized interstellar medium disperses pulsar radio signals, resulting in a stochastic time-variable delay known as the dispersion measure (DM) noise. In the wideband paradigm of pulsar timing, we measure a DM together with a time of…

Instrumentation and Methods for Astrophysics · Physics 2025-08-27 Abhimanyu Susobhanan , Rutger van Haasteren

We predict phase-transitions in the quantum noise characteristics of systems described by the quantum nonlinear Schr\"odinger equation, showing them to be related to the solitonic field transition at half the fundamental soliton amplitude.…

Quantum Physics · Physics 2009-10-31 M. J. Werner , S. R. Friberg

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…

Soft Condensed Matter · Physics 2009-11-10 F. Kh. Abdullaev , B. B. Baizakov , M. Salerno

A model is studied which describes a propagation of a subpicosecond optical pulse in dispersion-managed fibre links. In the limit of weak chromatic dispersion management, the model equation is reduced to a perturbed modified NLS equation…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Evgeny V. Doktorov

The nonlinear pulse propagation in an optical fibers with varying parameters is investigated. The capture of moving in the frequency domain femtosecond colored soliton by a dispersive trap formed in an amplifying fiber makes it possible to…

Optics · Physics 2015-06-26 Vladimir N. Serkin , Akira Hasegawa

We introduce a system of fractional nonlinear Schroedinger equations (FNLSEs) which model the copropagation of optical waves carried by different wavelengths or mutually orthogonal circular polarizations in fiber-laser cavities with the…

Pattern Formation and Solitons · Physics 2024-05-14 Tandin Zangmo , Thawatchai Mayteevarunyoo , Boris A. Malomed

We report a technique for coherence transfer of laser light through a fiber link, where the optical phase noise induced by environmental perturbation via the fiber link is compensated by remote users with passive phase noise correction,…

Optics · Physics 2020-07-30 Liang Hu , Xueyang Tian , Guiling Wu , Mengya Kong , Jianguo Shen , Jianping Chen

Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of dispersion and nonlinearities. In this paper, we present a…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Vinícius Oliari , Erik Agrell , Gabriele Liga , Alex Alvarado

We investigate theoretically the fundamental phenomenon of the spontaneous, noise-induced modulational instability (MI) of a plane wave. The long-term statistical properties of the noise-induced MI have been previously observed in…

Exactly Solvable and Integrable Systems · Physics 2019-12-11 Andrey Gelash , Dmitry Agafontsev , Vladimir Zakharov , Gennady El , Stephane Randoux , Pierre Suret

Dynamics of solitons is considered in the framework of an extended nonlinear Schrodinger equation (NLSE), which is derived from a system of the Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves. The…

Optics · Physics 2014-03-05 E. M. Gromov , B. A. Malomed

A dispersion-managed optical system with step-wise periodical variation of dispersion is studied in a strong dispersion map limit in the framework of path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by iterating the…

Pattern Formation and Solitons · Physics 2009-11-07 P. M. Lushnikov

Dynamics of solitons is considered in the framework of an extended nonlinear Schr\"odinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency (HF) surface waves in the ocean, coupled to damped…

Pattern Formation and Solitons · Physics 2015-12-04 Evgeny M. Gromov , Boris A. Malomed
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