Onana Essama, B.G. and Atangana, J. and Biya-Motto, F. and Mokhtari, B. and Cherkaoui Eddeqaqi, N. and Kofane, T.C. (2014) Optical rogue waves generation in a nonlinear metamaterial. Optics Communications, 331. pp. 334-347.

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Abstract

We investigate the behavior of electromagnetic wave which propagates in a metamaterial for negative index regime. The optical pulse propagation is described by the nonlinear Schrödinger equation with cubic-quintic nonlinearities, second- and third-order dispersion effects. The behavior obtained for negative index regime is compared to that observed for positive index regime. The characterization of electromagnetic wave uses some pulse parameters obtained analytically and called collective coordinates such as amplitude, temporal position, width, chirp, frequency shift and phase. Six frequency ranges have been pointed out where a numerical evolution of collective coordinates and their stability are studied under a typical example to verify our analysis. It appears that a robust soliton due to a perfect compensation process between second-order dispersion and cubic-nonlinearity is presented at each frequency range for both negative and positive index regimes. Thereafter, the stability of the soliton pulse and physical conditions leading to optical rogue waves generation are discussed at each frequency range for both regimes, when third-order dispersion and quintic-nonlinearity come into play. We have demonstrated that collective coordinates give much useful information on external and internal behavior of rogue events. Firstly, we determine at what distance begins the internal excitation leading to rogue waves. Secondly, what kind of internal modification and how it modifies the system in order to build-up rogue events. These results lead to a best comprehension of the mechanism of rogue waves generation. So, it clearly appears that the rogue wave behavior strongly depends on nonlinearity strength of distortion, frequency and regime considered. © 2014 Elsevier B.V.

Item Type: Article
Uncontrolled Keywords: Electromagnetic dispersion; Electromagnetic waves; Metamaterials; Nonlinear equations; Solitons, Collective coordinates; Frequency ranges; Negative index; Positive index regime; Rogue waves, Nonlinear optics
Subjects: Chemistry
Divisions: SCIENTIFIC PRODUCTION > Chemistry
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:45
URI: http://eprints.umi.ac.ma/id/eprint/1914

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