Ultrashort Optical Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation with Higher-Order Terms

With the help of the Maxwell equations, a basic equation modeling the propagation of ultrashort optical solitons in optical fiber is derived, namely the higher-order complex Ginzburg-Landau equation (HCGLE). Considering this one-dimensional HCGLE, we obtain a set of differential equations characteri...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2008-07, Vol.77 (7), p.74401
Main Authors: FEWO, Serge I, NGABIRENG, Claude M, KOFANE, Timoleon C
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Nonlinear optics
Optical solitons
nonlinear guided waves
Optics
Physics
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Summary:With the help of the Maxwell equations, a basic equation modeling the propagation of ultrashort optical solitons in optical fiber is derived, namely the higher-order complex Ginzburg-Landau equation (HCGLE). Considering this one-dimensional HCGLE, we obtain a set of differential equations characterizing the variation of the pulse parameters called collective variables (CVs), of a pulse propagating in dispersion-managed (DM) fiber optic-links. Equations obtained are investigated numerically in order to observe the behaviour of pulse parameters along the optical fiber. A fully numerical simulation of the one-dimensional HCGLE finally tests the results of the CV theory. A good agreement between both methods is observed. Among various behaviours, chaotic pulses, attenuate pulses and stable pulses can be obtained under certain parameter values.
ISSN:0031-9015
1347-4073
DOI:10.1143/jpsj.77.074401