On uniqueness in electromagnetic scattering from biperiodic structures (Q2842457)
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scientific article; zbMATH DE number 6198334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniqueness in electromagnetic scattering from biperiodic structures |
scientific article; zbMATH DE number 6198334 |
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On uniqueness in electromagnetic scattering from biperiodic structures (English)
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14 August 2013
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electromagnetic scattering
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uniqueness
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biperiodic dielectric structure, variational formulation
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Rellich identity
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0.90340847
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0.90216655
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0.89133394
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0.88720995
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0.88526636
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0.8835872
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0.8833367
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The authors prove that the electromagnetic wave scattering problem for non-absorbing biperiodic dielectric structures mounted on a perfectly conducting plate (in three dimensions) is uniquely solvable for all positive wave numbers (under non-trapping and smoothness conditions). This is based on a Fredholm theory for the the variational formulation of the problem in appropriate Sobolev spaces and a consequent Rellich identity.
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