Diffraction at a curved grating: TM and TE cases, homogenization
type: Item
instance of: scholarly article
title: Diffraction at a curved grating: TM and TE cases, homogenization
zbMATH Open document ID: 0865.35122
author: T. Abboud
author: Habib Ammari
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-06-16T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 934220
zbMATH Keywords: TM and TE modes
zbMATH Keywords: homogenization
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Dirichlet or Neumann boundary conditions
zbMATH Keywords: impedance boundary conditions
zbMATH Keywords: error estimates
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0357
OpenAlex ID: W2029821262
DOI: 10.1006/JMAA.1996.0357
description: scientific article; zbMATH DE number 934220