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Inverse scattering in guides
Karlstad University, Karlstad, Sweden.
Penza State University, Penza, Russian Federation.
2012 (English)In: Journal of Physics, Conference Series, ISSN 1742-6588, E-ISSN 1742-6596, Vol. 346, no 1, 012019Article in journal (Refereed) Published
Abstract [en]

We present statements and a method of solution to the inverse scattering problem of reconstructing permittivity of a dielectric inclusion in a 2D or 3D waveguide from the transmission characteristics. The approach employs a volume singular integral equation (VSIE) method. The unique solvability of VSIE is established. The inverse problem is solved by the method of iterations applied to VSIE; the convergence of the method is proved.

Place, publisher, year, edition, pages
2012. Vol. 346, no 1, 012019
Keyword [en]
Dielectric inclusions; Inverse scattering; Inverse scattering problems; Singular integral equations; Transmission characteristics, Algebra; Inverse problems; Mechanics, Two dimensional
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-22868DOI: 10.1088/1742-6596/346/1/012019ISI: 000305176100019ScopusID: 2-s2.0-84858182999OAI: oai:DiVA.org:hig-22868DiVA: diva2:1050229
Available from: 2016-11-28 Created: 2016-11-28 Last updated: 2016-11-28Bibliographically approved

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Shestopalov, Yury V.
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