Influence of intrapulse Raman scattering on the stationary pulses in the presence of linear and nonlinear gain as well as spectral filtering

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

doi:10.1117/12.2175934

8 January 2015 Influence of intrapulse Raman scattering on the stationary pulses in the presence of linear and nonlinear gain as well as spectral filtering

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

Author Affiliations +

Proceedings Volume 9447, 18th International School on Quantum Electronics: Laser Physics and Applications; 94471F (2015) https://doi.org/10.1117/12.2175934
Event: Eighteenth International School on Quantum Electronics: Laser Physics and Applications, 2014, Sozopol, Bulgaria

Abstract

In this paper we present numerical investigation of the influence of intrapulse Raman scattering (IRS) on the stable stationary pulses. Our basic equation, namely cubic-quintic Ginzburg-Landau equation describes the propagation of ultra-short optical pulses under the effect of IRS in the presence of linear and nonlinear gain as well as spectral filtering. Our aim is to examine numerically the influence of IRS, on the stable stationary pulses in the presence of constant linear and nonlinear gain as well as spectral filtering. Numerical solution of our basic equation is performed by means of the “fourth-order Runge-Kutta method in the interaction picture method” method. We found that the small change of the value of the parameter which describes IRS leads to qualitatively different behavior of the evolution of pulse amplitudes. In order to study the observed strong dependence on the IRS, the perturbation method of conserved quantities of the nonlinear Schrodinger equation is applied. The numerical analysis of the derived nonlinear system of ordinary differential equations has shown that our numerical findings are related to the existence of the Poincare-Andronov-Hopf bifurcation.

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Ivan M. Uzunov, Zhivko D. Georgiev, and Todor N. Arabadzhiev "Influence of intrapulse Raman scattering on the stationary pulses in the presence of linear and nonlinear gain as well as spectral filtering", Proc. SPIE 9447, 18th International School on Quantum Electronics: Laser Physics and Applications, 94471F (8 January 2015); https://doi.org/10.1117/12.2175934

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KEYWORDS

Nonlinear filtering

Optical filters

Linear filtering

Numerical analysis

Raman scattering

Complex systems

Solitons

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