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dc.contributor.authorGerogiannis, D.en
dc.contributor.authorSofianos, S. A.en
dc.contributor.authorLagaris, I. E.en
dc.contributor.authorEvangelakis, G. A.en
dc.date.accessioned2015-11-24T17:02:29Z-
dc.date.available2015-11-24T17:02:29Z-
dc.identifier.issn0103-9733-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/11061-
dc.rightsDefault Licence-
dc.subjectinverse scattering theoryen
dc.subjectacousticsen
dc.subjectsupersymmetric quantum-mechanicsen
dc.titleOne-Dimensional Inverse Scattering Problem in Acousticsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1007/s13538-011-0039-9-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικήςel
heal.publicationDate2011-
heal.abstractWe are concerned with the inverse scattering problem (ISP) in acoustics within the Marchenko inversion scheme. The quantum ISP is first discussed and applied in order to exhibit certain characteristics and application prospects of the method which could be useful in extending it to classical systems. We then consider the ISP in acoustics by assuming plane waves propagating in an elastic, isotropic, and linear medium. The wave equation is first transformed into a Schrodinger-like equation which can be brought into the Marchenko integral equation for the associated nonlocal kernel the solution of which provides us the full information of the underlying reflective profile. We apply the method in several model problems where the reflection coefficient of the multi-layer reflective medium is used as input to the ISP and in all cases we obtain excellent reproduction of the original structure of the scatterer. We then applied the inverse scattering scheme to construct profiles with certain predetermined reflection and transmission characteristics.en
heal.journalNameBrazilian Journal of Physicsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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