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Nonlinear localized waves in a periodic medium

Sukhorukov, Andrey; Kivshar, Yuri

Description

We analyze the existence and stability of nonlinear localized waves in a periodic medium described by the Kronig-Penney model with a nonlinear defect. We demonstrate the existence of a novel type of stable nonlinear band-gap localized state, and also reveal a generic physical mechanism of the oscillatory wave instabilities associated with the band-gap resonances.

dc.contributor.authorSukhorukov, Andrey
dc.contributor.authorKivshar, Yuri
dc.date.accessioned2009-09-23T03:08:06Z
dc.date.accessioned2010-12-20T06:06:03Z
dc.date.available2009-09-23T03:08:06Z
dc.date.available2010-12-20T06:06:03Z
dc.identifier.citationPhysical Review Letters 87.8 (2001): 083901/1-4
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/10440/915
dc.identifier.urihttp://digitalcollections.anu.edu.au/handle/10440/915
dc.description.abstractWe analyze the existence and stability of nonlinear localized waves in a periodic medium described by the Kronig-Penney model with a nonlinear defect. We demonstrate the existence of a novel type of stable nonlinear band-gap localized state, and also reveal a generic physical mechanism of the oscillatory wave instabilities associated with the band-gap resonances.
dc.format4 pages
dc.publisherAmerican Physical Society
dc.rightshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2001 The American Physical Society
dc.sourcePhysical Review Letters
dc.source.urihttp://prola.aps.org/abstract/PRL/v87/i8/e083901
dc.subjectKeywords: Coupled circuits; Crystal defects; Eigenvalues and eigenfunctions; Electron resonance; Electron traps; Energy gap; Frequency response; Hamiltonians; Magnetooptical effects; Nonlinear equations; Optical waveguides; Perturbation techniques; Quantum theory;
dc.titleNonlinear localized waves in a periodic medium
dc.typeJournal article
local.description.refereedYes
local.identifier.citationvolume87
dc.date.issued2001-08-01
local.identifier.absfor020204
local.identifier.ariespublicationMigratedxPub1401
local.type.statusPublished Version
local.contributor.affiliationSukhorukov, Andrey, Research School of Physical Sciences and Engineering, Non-Linear Physics Centre
local.contributor.affiliationKivshar, Yuri S, Research School of Physical Sciences and Engineering, Non-Linear Physics Centre
local.bibliographicCitation.issue8
local.bibliographicCitation.startpage083901
local.bibliographicCitation.lastpage4
local.identifier.doi10.1103/PhysRevLett.87.083901
dc.date.updated2015-12-10T10:44:54Z
local.identifier.scopusID2-s2.0-0035920871
CollectionsANU Research Publications

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