EFFECT OF NONLINEAR COUPLING ON MODULATIONAL INSTABILITY IN NONLINEAR TRANSMISSION LINES

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Published: 2015-11-03

Page: 106-117


ERIC TALA-TEBUE *

Laboratory of Mechanics, Department of Physics, University of Yaounde I, P.O.Box 812, Yaound´e, Cameroon and Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, University of Yaounde I, P.O.Box 47, Yaound´e, Cameroon.

AURELIEN KENFACK-JIOTSA

Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, University of Yaounde I, P.O.Box 47, Yaound´e, Cameroon.

SERGE BRUNO YAMGOUE

Department of Physics, The Higher Teachers’ Training College, University of Bamenda, P.O.Box 39, Bamenda, Cameroon.

TIMOLEON CREPIN KOFANE

Laboratory of Mechanics, Department of Physics, University of Yaounde I, P.O.Box 812, Yaound´e, Cameroon

*Author to whom correspondence should be addressed.


Abstract

We study the effect of nonlinear coupling on nonlinear electrical transmission lines (NETLs). By using the semi-discrete approximation, we derive the uncoupled nonlinear Schrödinger equations describing the propagation through the network. Analytical and numerical studies present a good agreement. We show that by coupling NETLs in this way, the propagation of waves in each line can be alternatively described by two nonlinear Shrödinger equations according to the direction of the current flow through the coupling branch. It also comes from this study that the nonlinear coupling adds the domains of modulational instability (MI) of each line. We show that a small variation of the nonlinear elements used in the coupling branch can change significantly the behavior of the network. Results which are found in this study can be applied in the context of molecular or atomic chains and in telecommunication systems for example.

Keywords: Modulational instability, two nonlinear schrödinger equations, nonlinear coupling, domains of modulational instability


How to Cite

TALA-TEBUE, E., KENFACK-JIOTSA, A., YAMGOUE, S. B., & KOFANE, T. C. (2015). EFFECT OF NONLINEAR COUPLING ON MODULATIONAL INSTABILITY IN NONLINEAR TRANSMISSION LINES. Journal of Applied Physical Science International, 5(2), 106–117. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/3271

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