Diffraction at a curved grating: Approximation by an infinite plane grating
type: Item
instance of: scholarly article
title: Diffraction at a curved grating: Approximation by an infinite plane grating
zbMATH Open document ID: 0865.35123
author: T. Abboud
author: Habib Ammari
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-06-16T00:00:00Z
review text: The effect of curvature of a cylindrical grating on the diffraction of TE and TM polarized electromagnetic plane waves is considered. For every ratio of the wavelength \(\lambda\) to the period \(d\) a local approximation is established in the planar field by a plane infinite grating, when the radius \(R\) of the circular grating goes to infinity. Error estimates are given and shown to be optimal and of order \(O(d/R)\) outside a transition region.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 934224
zbMATH Keywords: curved grating
zbMATH Keywords: polarized waves
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0361
OpenAlex ID: W2044404077
DOI: 10.1006/JMAA.1996.0361
description: scientific article; zbMATH DE number 934224