Inverse problems for reflector systems

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dc.authorid0000-0001-8471-7575
dc.contributor.authorHasanoğlu, Elmanen_US
dc.date.accessioned2026-04-22T06:19:07Z
dc.date.available2026-04-22T06:19:07Z
dc.date.issued2025-09-12
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractA comprehensive solution to the three-dimensional inverse problem of transforming wavefronts of arbitrary configuration after two reflections within the geometrical optics (GO) approximation is presented. We establish necessary and sufficient conditions that determine whether a given wavefront mapping can be realized using two mirrors, either prior to or without explicitly computing the mirror surfaces. The cases of spherical and plane wavefronts are analyzed separately, where we demonstrate that the governing equations simplify significantly, reducing to a single equation. Additionally, two-dimensional variants of the problem are considered, and it is shown that, in these cases, the equations for determining the mirror profiles can be solved in quadrature.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHasanoğlu, E. (2025). Inverse problems for reflector systems. Paper presented at the Proceedings of the International Conference on Electromagnetics in Advanced Applications, ICEAA, 347-351. doi:https://doi.org/10.1109/ICEAA65662.2025.11306011en_US
dc.identifier.doi10.1109/ICEAA65662.2025.11306011
dc.identifier.endpage351
dc.identifier.isbn9798331544720
dc.identifier.isbn9798331544737
dc.identifier.issn2835-1355
dc.identifier.issn2766-2284
dc.identifier.scopus2-s2.0-105032501463
dc.identifier.scopusqualityQ4
dc.identifier.startpage347
dc.identifier.urihttps://hdl.handle.net/11729/7331
dc.identifier.urihttps://doi.org/10.1109/ICEAA65662.2025.11306011
dc.indekslendigikaynakScopusen_US
dc.institutionauthorHasanoğlu, Elmanen_US
dc.institutionauthorid0000-0001-8471-7575
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.ispartofProceedings of the International Conference on Electromagnetics in Advanced Applications, ICEAAen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFermat's principleen_US
dc.subjectMapping between wave frontsen_US
dc.subjectRadiation patternen_US
dc.subjectSpherical and plane wavesen_US
dc.subjectTwo reflector anttenasen_US
dc.subjectWave frontsen_US
dc.subjectElastic wavesen_US
dc.subjectGeometrical opticsen_US
dc.subjectInverse problemsen_US
dc.subjectMappingen_US
dc.subjectMirrorsen_US
dc.subjectPhotonicsen_US
dc.subjectReflectionen_US
dc.subjectSignal processingen_US
dc.subjectWave propagationen_US
dc.subjectGeometrical optics approximationsen_US
dc.subjectMapping between wave fronten_US
dc.subjectPlane waveen_US
dc.subjectReflector systemen_US
dc.subjectSpherical wavesen_US
dc.subjectTwo reflector anttenaen_US
dc.titleInverse problems for reflector systemsen_US
dc.typeConference Objecten_US
dspace.entity.typePublicationen_US

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