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Open AccessArticle

Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers

Department of Mathematics and Statistics, Amherst College, Amherst, MA 01002, USA
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA
Faculty of Electrical Engineering, Helmut Schmidt University, Hamburg 22043, Germany
Author to whom correspondence should be addressed.
Photonics 2014, 1(4), 390-403;
Received: 2 October 2014 / Revised: 20 October 2014 / Accepted: 20 October 2014 / Published: 27 October 2014
(This article belongs to the Special Issue Nonlinear Fiber Optics)
In the present paper we consider nonlinear dimers and trimers (more generally, oligomers) embedded within a linear Schrödinger lattice where the nonlinear sites are of saturable type. We examine the stationary states of such chains in the form of plane waves, and analytically compute their reflection and transmission coefficients through the nonlinear oligomer, as well as the corresponding rectification factors which clearly illustrate the asymmetry between left and right propagation in such systems. We examine not only the existence but also the dynamical stability of the plane wave states. Lastly, we generalize our numerical considerations to the more physically relevant case of Gaussian initial wavepackets and confirm that the asymmetry in the transmission properties also persists in the case of such wavepackets. View Full-Text
Keywords: saturable nonlinearity; asymmetry; discrete Schrödinger saturable nonlinearity; asymmetry; discrete Schrödinger
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Law, D.; D'Ambroise, J.; Kevrekidis, P.G.; Kip, D. Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers. Photonics 2014, 1, 390-403.

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