NDLI: Self-frequency shift and nonlinear interaction of equilibrium and pulsating solutions in the presence of linear and nonlinear gain, spectral filtering, and intrapulse Raman scattering

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Self-frequency shift and nonlinear interaction of equilibrium and pulsating solutions in the presence of linear and nonlinear gain, spectral filtering, and intrapulse Raman scattering

Content Provider	Springer Nature Link
Author	Uzuv, Ivan M. Arabadzhev, Todor N. Georgiev, Zhivko D.
Copyright Year	2015
Abstract	In this work we study numerically the self-frequency shift of the equilibrium and pulsating solutions in the presence of linear and nonlinear gain, spectral filtering, and intrapulse Raman scattering (IRS). It has been established that the stationary value of the central frequency of solutions, which appears as a result of the collective action of these physical effects, is a linearly increasing function of the Raman parameter γ for the solution of Tsoy and Akhmediev (Phys Lett A 343:17–422, 2005), Tsoy et al. (Phys Rev E 73:036621, 2006), and the quadratic function of γ for the parameters used in Uzunov et al. (Phys Rev E 90:042906, 2014). We have found a complete suppression of the self-frequency shift of the equilibrium and pulsating solutions in the presence of linear and nonlinear gain, spectral filtering, and IRS below and at the point of the Poincare–Andronov–Hopf bifurcation (PAHB) (Uzunov et al. in Phys Rev E 90:042906, 2014). We have numerically observed stable pairs and sequences of equidistant equilibrium solutions and pulsating solutions propagating in the presence of linear and nonlinear gain, spectral filtering, and IRS below and at the point of the PAHB. The pairs and equidistant sequences of pulsating solutions at the point of bifurcation require larger initial separation and exist at smaller distances of propagation than the pairs and equidistant sequences of the equilibrium solutions below the point of bifurcation.
Starting Page	2969
Ending Page	2981
Page Count	13
File Format	PDF
ISSN	03068919
Journal	Optical and Quantum Electronics
Volume Number	47
Issue Number	8
e-ISSN	1572817X
Language	English
Publisher	Springer US
Publisher Date	2015-05-16
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nonlinear fiber optics Soliton interactions Fiber lasers Soliton transmission systems Intrapulse Raman scattering Cubic–quintic complex Ginzburg–Landau equation Poincare–Andronov–Hopf bifurcation Limit cycle Optics, Optoelectronics, Plasmonics and Optical Devices Electrical Engineering Characterization and Evaluation of Materials Computer Communication Networks
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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