On the uniqueness of the inverse elastic scattering problem for periodic structures (Q2774151)
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scientific article; zbMATH DE number 1713410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniqueness of the inverse elastic scattering problem for periodic structures |
scientific article; zbMATH DE number 1713410 |
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On the uniqueness of the inverse elastic scattering problem for periodic structures (English)
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28 February 2002
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Navier equation
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shape of the periodic structure
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scattered elastic waves
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uniqueness
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eigenvalue problem for the Lamé operator
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The authors study the inverse scattering problem to determine the shape of the periodic structure from measurements of the scattered elastic waves on a line above the structure. They derive a uniqueness result of Schiffer's type, i.e. the structure is uniquely determined if the scattered wave is known for a whole interval of frequencies. The main step in the proof is the investigation of an eigenvalue problem for the Lamé operator in a layer which is bounded from below and above by periodic functions.
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