A new theory of complex rays

Basit Öğe Kaydı
dc.authorid0000-0001-8471-7575
dc.contributor.authorHasanoğlu, Elmanen_US
dc.date.accessioned2015-01-15T23:00:07Z
dc.date.available2015-01-15T23:00:07Z
dc.date.issued2004-12
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractA new approach to the theory of complex rays is presented. It is shown that the three-dimensional Minkowski space, the variant of the well known four-dimensional space-time Minkowski space of the special theory of relativity, is more appropriate for describing both real and complex rays than the usual Euclidean space. It turns out that in this space complex rays, as real ones, may have quite definite directions and magnitudes. This allows us to understand the geometrical meaning of the complex magnitudes such as complex distances and complex angles, intensively discussed over the last several decades. From this point of view a new interpretation of the Gaussian beams and reflection laws is presented.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHasanov, E. (2004). A new theory of complex rays. IMA Journal of Applied Mathematics (Institute of Mathematics and its Applications), 69(6), 521-537. doi:10.1093/imamat/69.6.521en_US
dc.identifier.doi10.1093/imamat/69.6.521
dc.identifier.endpage537
dc.identifier.issn0272-4960
dc.identifier.issn1464-3634
dc.identifier.issue6
dc.identifier.scopus2-s2.0-9444241590
dc.identifier.scopusqualityQ3
dc.identifier.startpage521
dc.identifier.urihttps://hdl.handle.net/11729/142
dc.identifier.urihttp://dx.doi.org/10.1093/imamat/69.6.521
dc.identifier.volume69
dc.identifier.wosWOS:000225404400001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorHasanoğlu, Elmanen_US
dc.institutionauthorid0000-0001-8471-7575
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publisherOxford Univ Pressen_US
dc.relation.ispartofIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAsymptotic solutionen_US
dc.subjectComplex raysen_US
dc.subjectEikonal equationen_US
dc.subjectMinkowski spaceen_US
dc.subjectReal raysen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectElectromagnetic field theoryen_US
dc.subjectLight reflectionen_US
dc.subjectLight refractionen_US
dc.subjectNumerical methodsen_US
dc.subjectQuantum theoryen_US
dc.subjectRelativityen_US
dc.subjectWavefrontsen_US
dc.subjectOpticsen_US
dc.titleA new theory of complex raysen_US
dc.typeArticleen_US
dspace.entity.typePublication

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