Complex rays and applications

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dc.authorid0000-0001-8471-7575
dc.contributor.authorHasanoğlu, Elmanen_US
dc.date.accessioned2025-12-02T10:46:36Z
dc.date.available2025-12-02T10:46:36Z
dc.date.issued2025-12-01
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.abstractComplex rays are a fascinating aspect of modern diffraction theory, typically sought as complex solutions to the eikonal equation. Traditionally, these solutions are obtained by analytically continuing real rays into the complex domain. However, this approach demands the analyticity of initial data, significantly limiting its applicability to many practical problems. Additionally, unlike real rays, complex rays cannot be visualized in space, presenting another drawback. In this paper, we present an alternative interpretation of complex rays, as introduced in [1], and describe a novel approach to two model diffraction problems and Gaussian beams.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHasanoğlu, E. (2025). Complex rays and applications. TWMS Journal of Applied and Engineering Mathematics, 15(12), 2790-2800.en_US
dc.identifier.endpage2800
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.issue12
dc.identifier.scopus2-s2.0-105023476988
dc.identifier.scopusqualityQ3
dc.identifier.startpage2790
dc.identifier.urihttps://hdl.handle.net/11729/6792
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/current/138-vol15no12/1534
dc.identifier.volume15
dc.identifier.wosWOS:001632612100008
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorHasanoğlu, Elmanen_US
dc.institutionauthorid0000-0001-8471-7575
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectWave equationen_US
dc.subjectEikonal equationen_US
dc.subjectComplex raysen_US
dc.subjectMinkowski spaceen_US
dc.subjectGaussian beamsen_US
dc.titleComplex rays and applicationsen_US
dc.typeArticleen_US
dspace.entity.typePublicationen_US

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