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Publication Date:
December 2007
ISSN:
1569-3945
DOI:
10.1515/jiip.2007.034

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Editor-in-Chief: Kabanikhin, Sergey I.

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Identification of a non-convex obstacle for acoustical scattering

G. Nakamura1 / K. Yoshida2

1 Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. Email: gnaka@math.sci.hokudai.ac.jp

2 Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. Email: s063042@math.sci.hokudai.ac.jp

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 6, Pages 611–624, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2007.034, December 2007

Publication History:
Received:
2007-05-18
Published Online:
2007-12-04

This paper deals with a two or three dimensional inverse scattering problem for identifying a sound hard obstacle in a homogeneous medium. We provide a reconstruction scheme for identifying the obstacle from far field patterns of scattered waves associated with incident waves in all directions when the obstacle is not necessarily convex.

Keywords: Inverse scattering problem; sound hard obstacle; complex geometric optics solution

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