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Unidirectional invisibility and non-reciprocal transmission in two and three dimensions

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dc.contributor.coauthorLoran, Farhang
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorMostafazadeh, Ali
dc.contributor.kuprofileFaculty Member
dc.contributor.otherDepartment of Mathematics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid4231
dc.date.accessioned2024-11-09T23:25:41Z
dc.date.issued2016
dc.description.abstractWe explore the phenomenon of unidirectional invisibility in two dimensions, examine its optical realizations and discuss its three-dimensional generalization. In particular, we construct an infinite class of unidirectionally invisible optical potentials that describe the scattering of normally incident transverse electric waves by an infinite planar slab with refractive-index modulations along both the normal directions to the electric field. A by-product of this investigation is a demonstration of non-reciprocal transmission in two dimensions. To elucidate this phenomenon, we state and prove a general reciprocity theorem that applies to quantum scattering theory of real and complex potentials in two and three dimensions.
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.indexedbyPubMed
dc.description.issue2191
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [112T951]
dc.description.sponsorshipTurkish Academy of Sciences (TUBA) This work was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) in the framework of the project no: 112T951 and by Turkish Academy of Sciences (TUBA).
dc.description.volume472
dc.identifier.doi10.1098/rspa.2016.0250
dc.identifier.eissn1471-2946
dc.identifier.issn1364-5021
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-84979978357
dc.identifier.urihttp://dx.doi.org/10.1098/rspa.2016.0250
dc.identifier.urihttps://hdl.handle.net/20.500.14288/11423
dc.identifier.wos383783500018
dc.keywordsScattering
dc.keywordsReciprocity principle
dc.keywordsNon-reciprocal transmission
dc.keywordsUnidirectional invisibility
dc.keywordsMultidimensional transfer matrix
dc.languageEnglish
dc.publisherRoyal Soc Chemistry
dc.sourceProceedings of The Royal Society A-Mathematical Physical and Engineering Sciences
dc.subjectMultidisciplinary sciences
dc.titleUnidirectional invisibility and non-reciprocal transmission in two and three dimensions
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-0739-4060
local.contributor.kuauthorMostafazadeh, Ali
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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