Onana Essama, B.G. and Atangana, J. and Mokhtari, B. and Cherkaoui Eddeqaqi, N. and Kofane, T.C. (2014) Theoretical model for electromagnetic wave propagation in negative index material induced by cubic-quintic nonlinearities and third-order dispersion effects. Optical and Quantum Electronics, 46 (7). pp. 911-924.

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Abstract

We analyze the problem of characterization of electromagnetic (EM) wave that propagates in a negative index material (NIM) and compare to the behavior that observes in a positive index material (PIM), from the conventional technique of characterization of the pulse intensity profile. Firstly, we establish the nonlinear Schrödinger equation (NLSE) and use the Drude model to obtained the NLSE terms. Secondly, we apply the collective variables technique at each frequency range and show that the stability and the light pulse intensity are significantly depending on specific normalized frequencies. We determine the specific frequency range allowing a fear characterization of the intensity profile of light pulse when the frequency increases. We illustrate the effectiveness of this EM wave stabilization by applying the indicated frequency range. This conventional technique in NIM and PIM systems where the second-order dispersion, third-order dispersion, self phase modulation (SPM) and quintic effects originated from SPM called quintic phase modulation act to provoke strong perturbations. © 2013 Springer Science+Business Media New York.

Item Type: Article
Uncontrolled Keywords: Characterization; Electromagnetic dispersion; Electromagnetic wave propagation; Electromagnetic waves; Light transmission; Metamaterials; Nonlinear equations; Phase modulation, Collective variables; Conventional techniques; Cubic-quintic nonlinearity; Negative index material; Normalized frequencies; Positive index materials; Second-order dispersion; Third order dispersion, Dispersions
Subjects: Engineering
Divisions: SCIENTIFIC PRODUCTION > Engineering
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:47
URI: http://eprints.umi.ac.ma/id/eprint/3311

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