Time shift in the presence of linear and nonlinear gain, spectral filtering, third-order of dispersion and self-steepening effect

Ivan M. Uzunov; Todor N. Arabadzhiev; Zhivko D. Georgiev

doi:10.1117/12.2175950

8 January 2015 Time shift in the presence of linear and nonlinear gain, spectral filtering, third-order of dispersion and self-steepening effect

Ivan M. Uzunov, Todor N. Arabadzhiev, Zhivko D. Georgiev

Author Affiliations +

Proceedings Volume 9447, 18th International School on Quantum Electronics: Laser Physics and Applications; 94471G (2015) https://doi.org/10.1117/12.2175950
Event: Eighteenth International School on Quantum Electronics: Laser Physics and Applications, 2014, Sozopol, Bulgaria

Abstract

We study the soliton time shift in the presence of linear and nonlinear gain, saturation of the nonlinear refractive index, spectral filtering, third-order of dispersion and self-steepening effect. The applied model generalizes the complex cubicquintic Ginzburg-Landau equation (CCQGLE) with the basic higher-order effects in fibers: the intrapulse Raman scattering (IRS), third-order of dispersion (TOD) and self-steepening effect. Soliton perturbation theory (SPT) is derived with which the influence of the saturation of the nonlinear refraction index, self-steepening and TOD on the appearance of the Poincare-Andronov-Hopf bifurcation is analyzed. It has been shown that TOD and self-steepening effect can lead to reduction in the time shift of the pulse. This prediction has been verified by numerical solution of generalized CCQGLE.

Citation Download Citation

Ivan M. Uzunov, Todor N. Arabadzhiev, and Zhivko D. Georgiev "Time shift in the presence of linear and nonlinear gain, spectral filtering, third-order of dispersion and self-steepening effect", Proc. SPIE 9447, 18th International School on Quantum Electronics: Laser Physics and Applications, 94471G (8 January 2015); https://doi.org/10.1117/12.2175950

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