Publication:
Invisibility and PT symmetry

dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorMostafazadeh, Ali
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T12:29:52Z
dc.date.issued2013
dc.description.abstractFor a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of parity and time-reversal (PT) transformation. We determine the PT-symmetric as well as non-PT-symmetric invisible configurations of an easily realizable exactly solvable model that consists of a two-layer planar slab consisting of optically active material. Our analysis shows that although PT symmetry is neither necessary nor sufficient for the invisibility of a scattering potential, it plays an important role in the characterization of the invisible configurations. A byproduct of our investigation is the discovery of certain configurations of our model that are effectively reflectionless in a spectral range as wide as several hundred nanometers.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue1
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuEU - TÜBİTAK
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA)
dc.description.versionPublisher version
dc.description.volume87
dc.identifier.doi10.1103/PhysRevA.87.012103
dc.identifier.eissn1094-1622
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00111
dc.identifier.issn1050-2947
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-84871914629
dc.identifier.urihttps://doi.org/10.1103/PhysRevA.87.012103
dc.identifier.wos313029200004
dc.keywordsNon-hermitian hamiltonians
dc.keywordsPseudo-hermiticity
dc.keywordsPt-symmetry
dc.keywordsSpectrum
dc.language.isoeng
dc.publisherAmerican Physical Society (APS)
dc.relation.grantno110T611
dc.relation.ispartofPhysical Review A 
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1143
dc.subjectMathematics
dc.titleInvisibility and PT symmetry
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorMostafazadeh, Ali
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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