A 3D Linearized Inverse Scattering Method for Scatterers in a Two Layered Medium

Linearized inverse scattering method is extended for shape reconstruction of scattering obstacles in a two layered medium. In order to reduce the problem to a shape reconstruction in an unbounded medium, the present method employs an integral equation with Green's function for the joined halfsp...

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Bibliographic Details
Published inJournal of applied mechanics Vol. 5; pp. 75 - 80
Main Authors KIMOTO, Kazushi, HIROSE, Sohichi
Format Journal Article
LanguageEnglish
Published Japan Society of Civil Engineers 2002
Subjects
Layered Medium
Limitied Aperture
Linearized Inverse Scattering Analysis
Ultrasonic Testing
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ISSN1345-9139
1884-832X
DOI10.2208/journalam.5.75

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Summary:Linearized inverse scattering method is extended for shape reconstruction of scattering obstacles in a two layered medium. In order to reduce the problem to a shape reconstruction in an unbounded medium, the present method employs an integral equation with Green's function for the joined halfspaces as a starting point. The equation is then liearized by Born and Kirhhoff approximations. Replacing the Green's function by its asymptotic expansion, the inversion fomula corresponding to the two linearizing approximatioins can be derived. As a numerical example, images of shperical and ellipsoidal rigid scatterers are reconstructed using a simulated scattered wave data. Inversion results show that both Born and Kirhhoff inversion can distinguish sphere from ellipsoide though only a part of scatterers can be reconstructed due to an aperture limitation.
ISSN:1345-9139
1884-832X
DOI:10.2208/journalam.5.75