Series Expansions Immune to Round-Off Errors for the Transition Function Used in High Frequency Electromagnetic Methods

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dc.contributor.authorUzer, Ali
dc.date.accessioned2024-03-13T10:32:54Z
dc.date.available2024-03-13T10:32:54Z
dc.date.issued2021
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractA series expansion is given for efficient computation of an integral that is called transition function F(x) in the high frequency electromagnetics literature or Fresnel integrals in the optics literature. It is obtained as a limiting case of some series expansions that appear in a solution of an electromagnetic problem in a recent letter. As an interesting property, it involves an arbitrary parameter r that may be used for specifying an interval in which the series becomes somewhat immune to the round-off errors and so the function F(x) can be calculated with any accuracy in that interval. We also give a computational scheme whose speed and accuracy performances fulfill the needs of high frequency electromagnetic methods.en_US
dc.identifier.doi10.1109/LAWP.2021.3077617
dc.identifier.endpage1282en_US
dc.identifier.issn1536-1225
dc.identifier.issn1548-5757
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85105888451en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1279en_US
dc.identifier.urihttps://doi.org/10.1109/LAWP.2021.3077617
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3646
dc.identifier.volume20en_US
dc.identifier.wosWOS:000670564500034en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIEEE-Inst Electrical Electronics Engineers Incen_US
dc.relation.ispartofIeee Antennas And Wireless Propagation Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTaylor seriesen_US
dc.subjectElectromagneticsen_US
dc.subjectImage color analysisen_US
dc.subjectPhysical theory of diffractionen_US
dc.subjectOptical diffractionen_US
dc.subjectHigh frequencyen_US
dc.subjectFresnel reflectionen_US
dc.subjectGeometrical theory of diffraction (GTD)en_US
dc.subjectoptical diffractionen_US
dc.subjectphysical theory of diffraction (PTD)en_US
dc.subjectseries (mathematics)en_US
dc.titleSeries Expansions Immune to Round-Off Errors for the Transition Function Used in High Frequency Electromagnetic Methodsen_US
dc.typeArticleen_US

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