Diffraction at a curved grating: TM and TE cases, homogenization (Q1923920)
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scientific article; zbMATH DE number 934220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffraction at a curved grating: TM and TE cases, homogenization |
scientific article; zbMATH DE number 934220 |
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Diffraction at a curved grating: TM and TE cases, homogenization (English)
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16 June 1997
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A hierarchy of effective boundary conditions is derived for a Helmholtz equation with Dirichlet or Neumann boundary conditions. These generalized impedance boundary conditions approximate the effect of thin dielectric layers with perfectly conducting inclusions covering an object. The well-posed nature of the problem is established and error estimates are provided.
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TM and TE modes
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homogenization
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Helmholtz equation
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Dirichlet or Neumann boundary conditions
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impedance boundary conditions
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error estimates
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