On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves

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• 作者：Manas Kar (1)
  Mourad Sini (1)
  
• 关键词：Scattering ; Elasticity ; Far fields ; Elastic fundamental tensor ; Herglotz operator ; 35P25 ; 35R30 ; 74B05 ; 78A46
• 刊名：Journal of Elasticity
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：118
• 期：1
• 页码：15-38
• 全文大小：751 KB
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  5. Charalambopoulos, A., Gintides, D., Kiriaki, K.: The linear sampling method for non-absorbing penetrable elastic bodies. Inverse Probl. 19(3), 549-61 (2003) 10.1088/0266-5611/19/3/305" target="_blank" title="It opens in new window">CrossRef
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  9. Gintides, D., Sini, M.: Identification of obstacles using only the scattered P-waves or the scattered S-waves. Inverse Probl. Imaging 6(1), 39-5 (2012) 10.3934/ipi.2012.6.39" target="_blank" title="It opens in new window">CrossRef
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  13. Kar, M., Sini, M.: Reconstruction of interfaces from the elastic farfield measurements using CGO solutions. 1311.4137" class="a-plus-plus">arXiv:1311.4137
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  17. Potthast, R.: Point Sources and Multipoles in Inverse
• 作者单位：Manas Kar (1)
  Mourad Sini (1)
  
  1. RICAM, Austrian Academy of Sciences, Altenbergerstrasse 69, 4040, Linz, Austria
  
• ISSN：1573-2681

文摘

We deal with the problem of the linearized and isotropic elastic inverse scattering by interfaces. We prove that the scattered p-parts or s-parts of the far field pattern, corresponding to all the incident plane waves of pressure or shear types, uniquely determine the obstacle geometry for both the penetrable and impenetrable obstacles. In addition, we state a reconstruction procedure. In the analysis, we assume only the Lipschitz regularity of the interfaces and, for the penetrable case, the Lamé coefficients to be measurable and bounded, inside the obstacles, with the usual jumps across these interfaces.