On the theory of single aspheric lenses

Basit Öğe Kaydı
dc.authorid0000-0001-8471-7575
dc.contributor.authorHasanoğlu, Elmanen_US
dc.date.accessioned2025-08-15T06:52:51Z
dc.date.available2025-08-15T06:52:51Z
dc.date.issued2024
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.abstractAspheric lenses play a pivotal role in a myriad of applications, including antenna theory, communication systems, sophisticated optical systems etc. These lenses, unlike their spherical counterparts, possess an infinite number of free parameters and by utilizing these parameters it is possible to achieve optical and antenna systems with very high and sophisticated performances. However, the lack of a rigorous mathematical theory essentially limits possibility to utilize their full potential in the related fields. In our days, the design process relies heavily on elementary mathematical principles and empirical methods [1-2]. Even a single thick aspheric lens lacks a comprehensive mathematical theory. In this paper a new mathematical approach to the theory of single lenses is proposed. Surprisingly, even in this seemingly straightforward case, the serious mathematical theory of a single aspherical lens relies on rather nontrivial mathematical principles as partial differential equations, differential geometry, Riemann geometry.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHasanoğlu, E. (2024). On the theory of single aspheric lenses. Paper presented at the Proceedings of the International Conference on Electromagnetics in Advanced Applications, ICEAA, 269-271. doi:10.1109/ICEAA61917.2024.10701904en_US
dc.identifier.doi10.1109/ICEAA61917.2024.10701904
dc.identifier.endpage271
dc.identifier.isbn9798350360974
dc.identifier.issn2835-1355
dc.identifier.scopus2-s2.0-85208755822
dc.identifier.scopusqualityQ4
dc.identifier.startpage269
dc.identifier.urihttps://hdl.handle.net/11729/6612
dc.identifier.urihttps://doi.org/10.1109/ICEAA61917.2024.10701904
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.subjectCharacteristic equationen_US
dc.subjectEikonal equationen_US
dc.subjectRadii of curvatureen_US
dc.subjectRiemann metricen_US
dc.subjectThick lensen_US
dc.subjectWave fronten_US
dc.subjectAsphericsen_US
dc.subjectChoquet integralen_US
dc.subjectGeometryen_US
dc.subjectLens antennasen_US
dc.subjectOptical instrument lensesen_US
dc.subjectPartial differential equationsen_US
dc.subjectAspheric lensen_US
dc.subjectMathematical principleen_US
dc.subjectMathematical theoryen_US
dc.subjectOptical-en_US
dc.titleOn the theory of single aspheric lensesen_US
dc.typeConference Objecten_US
dspace.entity.typePublicationen_US

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