Onana Essama, B.G. and Atangana, J. and Biya Motto, F. and Mokhtari, B. and Eddeqaqi, N.C. and Kofane, T.C. (2014) Rogue waves generation in a left-handed nonlinear transmission line with series varactor diodes. Journal of Modern Optics, 61 (12). pp. 1002-1008.

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Abstract

We investigate the electromagnetic wave behavior and its characterization using collective variables technique. Second-order dispersion, first-and second-order nonlinearities, which strongly act in a left-handed nonlinear transmission line with series varactor diodes, are taken into account. Four frequency ranges have been found. The first one gives the so-called energetic soliton due to a perfect combination of second-order dispersion and first-order nonlinearity. The second frequency range presents a dispersive soliton leading to the collapse of the electromagnetic wave at the third frequency range. But the fourth one shows physical conditions which are able to provoke the appearance of wave trains generation with some particular waves, the rogue waves. Moreover, we demonstrate that the number of rogue waves increases with frequency. The soliton, thereafter, gains a relative stability when second-order nonlinearity comes into play with some specific values in the fourth frequency range. Furthermore, the stability conditions of the electromagnetic wave at high frequencies have been also discussed. © 2014 Taylor and Francis.

Item Type: Article
Uncontrolled Keywords: Electric lines; Electromagnetic waves; Solitons; Transmission line theory; Varactors, Collective variables; Left handed materials; Left-handed nonlinear transmission lines; nonlinearity; Relative stabilities; Rogue waves; Second-order dispersion; Second-order nonlinearity, Dispersion (waves)
Subjects: Physics and Astronomy
Divisions: SCIENTIFIC PRODUCTION > Physics and Astronomy
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:49
URI: http://eprints.umi.ac.ma/id/eprint/4491

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