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

Mario I. Molina; Rodrigo A. Vicencio; Yuri S. Kivshar

doi:10.1016/j.physleta.2005.08.097

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

Mario I. Molina
, Rodrigo A. Vicencio
, Yuri S. Kivshar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	134-137
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	350
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physleta.2005.08.097
Publication status	Published - 30 Jan 2006

Access to Document

10.1016/j.physleta.2005.08.097

Cite this

@article{a1acc424fc9249f79be491edf85451ad,

title = "Impurity modes and wave scattering in discrete chains with nonlinear defect states",

abstract = "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.",

author = "Molina, \{Mario I.\} and Vicencio, \{Rodrigo A.\} and Kivshar, \{Yuri S.\}",

year = "2006",

month = jan,

day = "30",

doi = "10.1016/j.physleta.2005.08.097",

language = "English",

volume = "350",

pages = "134--137",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - Impurity modes and wave scattering in discrete chains with nonlinear defect states

AU - Molina, Mario I.

AU - Vicencio, Rodrigo A.

AU - Kivshar, Yuri S.

PY - 2006/1/30

Y1 - 2006/1/30

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/30644461780

U2 - 10.1016/j.physleta.2005.08.097

DO - 10.1016/j.physleta.2005.08.097

M3 - Article

SN - 0375-9601

VL - 350

SP - 134

EP - 137

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-2

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this