Publication:
Transfer matrix formulation of stationary scattering in 2D and 3D: a concise review of recent developments

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dc.conference.dateNOV 08-12, 2021
dc.conference.locationVirtual, Online
dc.conference.organizer2021 RDP Online PhD School and Workshop "Aspects of Symmetry", Regio 2021
dc.contributor.coauthorLoran, Farhang
dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Physics
dc.contributor.facultymemberYes
dc.contributor.kuauthorMostafazadeh, Ali
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:46:41Z
dc.date.issued2022
dc.description.abstractWe review a recently developed transfer matrix formulation of the stationary scattering in two and three dimensions where the transfer matrix is a linear operator acting in an infinite-dimensional function space. We discuss its utility in circumventing the ultraviolet divergences one encounters in solving the Lippman-Schwinger equation for delta-function potentials in two and three dimensions. We also use it to construct complex scattering potentials displaying perfect omnidirectional invisibility for frequencies below a freely preassigned cutoff. Copyright owned by the author(s) under the terms of the Creative Commons.
dc.description.fulltextNo
dc.description.harvestedfromManual
dc.description.indexedbyScopus
dc.description.openaccessYES
dc.description.peerreviewstatusN/A
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipThis work has been supported by the Scientific and Technological Research Council of Turkey in the framework of the project 120F061 and by Turkish Academy of Sciences.
dc.description.studentonlypublicationNo
dc.description.studentpublicationNo
dc.description.versionN/A
dc.identifier.WoSQuartileN/A
dc.identifier.embargoN/A
dc.identifier.grantno120F061
dc.identifier.issn1824-8039
dc.identifier.linkhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85130916294&partnerID=40&md5=53c7207c3364eda6d9ba73d4cc31f952
dc.identifier.scopus2-s2.0-85130916294
dc.identifier.urihttps://hdl.handle.net/20.500.14288/13988
dc.identifier.volume412
dc.keywordsCutoff frequency
dc.keywordsDelta functions
dc.keywordsTransfer matrix method
dc.keywordsDimensional functions
dc.keywordsFunction spaces
dc.keywordsInfinite dimensional
dc.keywordsLinear operators
dc.keywordsLippman-Schwinger equation
dc.keywordsMatrix formulation
dc.keywordsScattering potentials
dc.keywordsThree dimensions
dc.keywordsTwo-dimensions
dc.keywordsMathematical operators
dc.language.isoeng
dc.publisherSISSA Medialab
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofProceedings of Science
dc.relation.openaccessN/A
dc.rightsN/A
dc.subjectTime symmetry
dc.subjectParity
dc.subjectOptical lattices
dc.titleTransfer matrix formulation of stationary scattering in 2D and 3D: a concise review of recent developments
dc.typeConference Proceeding
dspace.entity.typePublication
local.contributor.kuauthorMostafazadeh, Ali
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