Optical soliton perturbation in a non-Kerr law media

Kohl, Russell; Biswas, Anjan; Milović, Daniela; Zerrad, Essaid

doi:10.1016/j.optlastec.2007.10.002

Cited by 180 publications

(97 citation statements)

References 7 publications

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“…In (1), F is a real-valued algebraic nonlinear function and it is necessary to have the smoothness of the complex function F |q| 2 q : C → C. Considering the complex plane C as a two-dimensional linear space R 2 , the function F |q| 2 q is k times continuously differentiable, so that [15][16][17] …”

Section: Mathematical Analysismentioning

confidence: 99%

Optical Solitons With Higher Order Dispersion by Semi-Inverse Variational Principle

Green¹,

Milović²,

Lott³

et al. 2010

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Section: Mathematical Analysismentioning

confidence: 99%

Optical Solitons With Higher Order Dispersion by Semi-Inverse Variational Principle

Green¹,

Milović²,

Lott³

et al. 2010

PIER

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“…Moreover, the NLSE has an infinite number of conserved quantities. However, (12), as it appears, is no longer integrable and thus it does not belong to IST picture. Now, it is assumed that the solution of (12) is given by a chirped pulse of the form [3,4,6] …”

Section: Polarization Preserving Fibersmentioning

confidence: 96%

“…In a polarization preserved optical fiber, the propagation of solitons is governed by DM-NLSE given by (12). If D(z) = g(z) = 1 in (12), the NLSE is recovered.…”

Section: Polarization Preserving Fibersmentioning

confidence: 99%

Adiabatic Dynamics of Gaussian and Super-Gaussian Solitons in Dispersion-Managed Optical Fibers

Kohl¹,

Biswas²,

Milović³

et al. 2008

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Abstract-This paper talks about the adiabatic parameter dynamics of Gaussian and super-Gaussian optical solitons that propagate through dispersion-managed optical fibers. These parameter dynamics are useful in further study of various aspects of optical solitons, including the quasi-particle theory of optical solitons, collision induced timing jitter, the four-wave mixing and various other features. These perturbation terms and its corresponding adiabatic dynamics also can be used to study the aspects of ghost pulses and the effects of randomness in dispersion-managed optical fibers.

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“…The nonlinear Schrödinger equation with its perturbation terms is given by [31] 45) is the nonlinear Schrödinger equation with Kerr law. The first term represents the evolution term, the second term is the group velocity dispersion term.…”

Section: Perturbed Nonlinear Schrödinger Equationmentioning

confidence: 99%