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Impurity Modes and Wave Scattering in Discrete Chains with Nonlinear Defect States

Molina, Mario I; Vicencio, Rodrigo; Kivshar, Yuri

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/85378
Source: Physics Letters A
DOI: 10.1016/j.physleta.2005.08.097

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