Impurity modes and wave scattering in discrete chains with nonlinear defect states
نویسندگان
چکیده
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. 2005 Elsevier B.V. All rights reserved. PACS: 71.55.-i; 73.20.Hb; 03.65.Ge
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تاریخ انتشار 2006