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On complex solutions of the eikonal equation

dc.contributor.authorHasanoğlu, Elmanen_US
dc.date.accessioned2019-08-31T12:10:23Z
dc.date.accessioned2019-08-05T16:05:02Z
dc.date.available2019-08-31T12:10:23Z
dc.date.available2019-08-05T16:05:02Z
dc.date.issued2007
dc.identifier.citationHasanoğlu, E. (2007). On complex solutions of the eikonal equation. Paper presented at the 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07, 641-644. doi:10.1109/ICEAA.2007.4387383en_US
dc.identifier.isbn1424407672
dc.identifier.isbn9781424407675
dc.identifier.urihttps://hdl.handle.net/11729/1995
dc.identifier.urihttps://dx.doi.org/10.1109/ICEAA.2007.4387383
dc.description.abstractIn this paper a new approach of complex rays in an inhomogeneous medium is presented. Complex rays are complex solutions of the eikonal equation, the main equation of the geometical optics. It is shown that solving the eikonal equation by using the characteristic method naturally leads to the pseudoriemann and Minkowski geometries. In framework of these geometries complex rays , like the real ones, can be drawn in real space and they may have caustics, and caustics also can be drawn in real space.en_US
dc.language.isoenen_US
dc.publisherIEEEen_US
dc.relation.ispartof2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGaussian beamsen_US
dc.subjectRaysen_US
dc.subjectWave propagationen_US
dc.subjectDifferential equationsen_US
dc.subjectElectromagnetismen_US
dc.subjectGeometrical opticsen_US
dc.subjectKetonesen_US
dc.subjectMagnetismen_US
dc.subjectAdvanced applicationsen_US
dc.subjectCharacteristic methodsen_US
dc.subjectComplex Raysen_US
dc.subjectComplex solutionsen_US
dc.subjectEikonal equationsen_US
dc.subjectElectro magneticsen_US
dc.subjectInhomogeneous mediumen_US
dc.subjectInternational conferencesen_US
dc.subjectNew approachesen_US
dc.subjectReal-spaceen_US
dc.subjectTransient analysisen_US
dc.subjectEquationsen_US
dc.subjectOptical sensorsen_US
dc.subjectOptical refractionen_US
dc.subjectOptical variables controlen_US
dc.subjectExtraterrestrial measurementsen_US
dc.subjectRefractive indexen_US
dc.subjectMathematicsen_US
dc.subjectGeometryen_US
dc.subjectInhomogeneous mediaen_US
dc.subjectComplex solutionsen_US
dc.subjectEikonal equationen_US
dc.subjectGeometical opticsen_US
dc.subjectMinkowski geometriesen_US
dc.titleOn complex solutions of the eikonal equationen_US
dc.typeConference Objecten_US
dc.description.versionPublisher's Versionen_US
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.authorid0000-0001-8471-7575
dc.authorid0000-0001-8471-7575en_US
dc.identifier.startpage641
dc.identifier.endpage644
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.institutionauthorHasanoğlu, Elmanen_US
dc.indekslendigikaynakScopusen_US
dc.identifier.scopus2-s2.0-47349121042en_US
dc.identifier.doi10.1109/ICEAA.2007.4387383
dc.identifier.scopusqualityN/Aen_US


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