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Diffraction at a curved grating: TM and TE cases, homogenization. (English) Zbl 0865.35122

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.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory (general)
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