Dynamics of subpicosecond dispersion-managed soliton in a fibre: A perturbative analysis

Abstract

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 having a nonlinearity dispersion term. By means of the Riemann--Hilbert problem, a perturbation theory for the soliton of the modified NLS equation is developed. It is shown in the adiabatic approximation that there exists a unique possibility to suppress the perturbation-induced shift of the soliton centre at the cost of proper matching of the soliton width and nonlinearity dispersion parameter. In the next-order approximation, the spectral density of the radiation power emitted by a soliton is calculated.

arXiv comment16 pages, 3 figures, to appear in J. Mod. Optics

References in corpus (5)

• Perturbation theory for the modified nonlinear Schr{ö}dinger solitons
• Perturbation theory for nearly integrable multi-component nonlinear PDEs
• Perturbation-induced radiation by the Ablowitz-Ladik soliton
• The Gordon-Haus effect for modified NLS solitons
• Dispersion management in optical fiber links: Integrability in leading nonlinear order

Cited by in corpus (2)

• Perturbation theory for bright spinor Bose--Einstein condensate solitons
• The Semiclassical Modified Nonlinear Schroedinger Equation I: Modulation Theory and Spectral Analysis