Collective variable theory for optical solitons in fibers

Dinda, P. Tchofo; Moubissi, A. B.; Nakkeeran, K.

doi:10.1103/physreve.64.016608

Cited by 81 publications

(33 citation statements)

References 47 publications

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“…In that situation q = 0, this approximation is called the bare approximation [14]. In this way one can consider the fact that the pulse propagation can be completely characterized that the ansatz function, for example in optical fiber transmission systems.…”

Section: Collective Variables Approachmentioning

confidence: 99%

“…One may introduce N collective variables, z dependent, say X i with 1, 2, , i N =  , in a way such that each of them can correctly describe a fundamental parameter of the pulse (amplitude, width, chirp, …) [14]. To this end, one can decompose the field ( ) , , , x y t z ψ in the following way:…”

Section: Collective Variables Approachmentioning

confidence: 99%

“…This remedial field ( ) , q z t [14] is a residual field that represents all other excitations in the system (noise, radiation, dressing field, etc. ).…”

Section: Collective Variables Approachmentioning

confidence: 99%

See 2 more Smart Citations

Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems

Konaté¹,

Soro²,

Asseu³

et al. 2015

JAMP

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We feature the stationary solutions of the 3D complex cubic-quintic Ginzburg-Landau equation (CGLE). Our approach is based on collective variables approach which helps to obtain a system of variational equations, giving the evolution of the light pulses parameters as a function of the propagation distance. The collective variables approach permits us to obtain, efficiently, a global mapping of the 3D stationary dissipative solitons. In addition it allows describing the influence of the parameters of the equation on the various physical parameters of the pulse and their dynamics. Thus it helps to show the impact of dispersion and nonlinear gain on the stationary dynamic.

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Section: Collective Variables Approachmentioning

confidence: 99%

Section: Collective Variables Approachmentioning

confidence: 99%

See 1 more Smart Citation

Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems

Konaté¹,

Soro²,

Asseu³

et al. 2015

JAMP

View full text Add to dashboard Cite

show abstract

“…This approximation of neglecting the residual q field is called the bare approximation [17]. At this stage the precise choice of the trial function which introduces the collective variable is very important.…”

Section: Resonance Curve From a Collective Variable Approachmentioning

confidence: 99%

Effects of Dissipative Terms on Dissipative Soliton Resonance Curve

Kamagaté¹,

Konaté²,

Soro³

et al. 2017

OPJ

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Dissipative soliton resonance (DSR) is a phenomenon where the energy of a soliton in a dissipative system increases without limit at certain values of the system parameters. Using the method of collective variable approach, we have found an approximate relation between the parameters of the normalized complex cubic-quintic Ginzburg-Landau equation where the resonance manifests itself. Comparisons between the results obtained by collective variable approach, and those obtained by the method of moments show good qualitative agreement. This choice also helps to see the influence of the active terms on the resonance curve, so can be very useful in constructing passively mode-locked laser that generate solitons with the highest possible energies.

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“…For such cases, intrapulse Raman scattering (IRS), third order dispersion and self steeping effects can become very appreciable. In an earlier publication [22], pulse propagation incorporating stimulated Raman scattering (SRS) and third order dispersion (TOD) has been investigated. In this investigation collective variable theory (CV) appropriate to pulse propagation in dispersion managed optical fiber link was developed.…”

Section: Introductionmentioning

confidence: 99%

High Bit Rate Dense Dispersion Managed Optical Communication Systems With Distributed Amplification

Mishra¹,

Konar²

2008

PIER

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Abstract-In this paper we have investigated optical pulse propagation in a dense dispersion managed (DM) optical communication system operating at a speed of 100 Gb/s and more taking into account of the effects of third order dispersion, intra-pulse Raman scattering and self steepening. Using perturbed variational formulation, we have obtained several ordinary differential equations for various pulse parameters. These equations have been solved numerically to identify launching criteria in the first DM cell of the system. Full numerical simulation of the nonlinear Schrödinger equation has been employed to identify effects of higher order terms on pulse propagation and to investigate the intra-pulse interaction. The roles played by these higher order linear and nonlinear effects have been identified. It has been found that the shift of the pulse centre due to intra-pulse Raman scattering increases with the increase in the distance of propagation and average dispersion. We have noticed that for higher value of average dispersion pulses travel less distance before collision than for lower average dispersion.

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Collective variable theory for optical solitons in fibers

Cited by 81 publications

References 47 publications

Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems

Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems

Effects of Dissipative Terms on Dissipative Soliton Resonance Curve

High Bit Rate Dense Dispersion Managed Optical Communication Systems With Distributed Amplification

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