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Nonlinear scattering and its transfer matrix formulation in one dimension

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Physics
dc.contributor.kuauthorMostafazadeh, Ali
dc.contributor.kuprofileFaculty Member
dc.contributor.otherDepartment of Mathematics
dc.contributor.otherDepartment of Physics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid4231
dc.date.accessioned2024-11-09T13:25:07Z
dc.date.issued2019
dc.description.abstractWe present a systematic formulation of the scattering theory for nonlinear interactions in one dimension and develop a nonlinear generalization of the transfer matrix that has a composition property similar to that of its linear analog. We offer alternative characterizations of spectral singularities, unidirectional reflectionlessness and invisibility, and nonreciprocal transmission for nonlinear scattering systems, and examine the application of our general results in addressing the scattering problem for nonlinear single- and double-δ-function potentials.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue1
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA)
dc.description.versionAuthor's final manuscript
dc.description.volume134
dc.formatpdf
dc.identifier.doi10.1140/epjp/i2019-12456-x
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR01888
dc.identifier.issn2190-5444
dc.identifier.linkhttps://doi.org/10.1140/epjp/i2019-12456-x
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85059849047
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3437
dc.identifier.wos455525900002
dc.keywordsMedia
dc.keywordsInvisibility
dc.keywordsWaves
dc.languageEnglish
dc.publisherSpringer
dc.relation.grantno114F357
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/8587
dc.sourceEuropean Physical Journal Plus
dc.subjectPhysics, multidisciplinary
dc.titleNonlinear scattering and its transfer matrix formulation in one dimension
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-0739-4060
local.contributor.kuauthorMostafazadeh, Ali
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublicationc43d21f0-ae67-4f18-a338-bcaedd4b72a4
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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