Impurity modes and wave scattering in discrete chains with nonlinear defect states

M.I. Molina, R.A. Vicencio and Kivshar Y.S.
PHYSICS LETTERS A 350, 1 (2006)


We study the properties of localized impurity modes and the transmission of plane waves across a general nonlinear impurity embedded in an infinite one-dimensional linear chain. Using the formalism of the lattice Green function, we obtain nonlinear equations for the bound state energy and the transmission coefficient, for a wide class of nonlinear impurities. We specialize to a saturable nonlinear impurity, obtaining closed form expressions for the bound state energy and transmission coefficient. (c) 2005 Elsevier B.V. All rights reserved.


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