Finite gratings at high frequencies
type: Item
instance of: scholarly article
title: Finite gratings at high frequencies
zbMATH Open document ID: 0969.78004
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-10-01T00:00:00Z
review text: The problem of scattering by a finite periodic dielectric grating placed on the interface between semi-infinite dielectric media is investigated. An approximation method is developed to treat the finite grating at high frequencies. The approach presented is based on geometric optics techniques and it is proven that the first order approximation is the solution of the infinite periodic grating. The extension of the developed asymptotic approach to construct geometric-optics asymptotic solutions to scattering of Maxwell equations by a finite periodic dielectric grating placed on the interface between semi-infinite dielectric media is also submitted.
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78M35
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A05
zbMATH DE Number: 1384921
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: scattering
zbMATH Keywords: finite periodic dielectric grating
zbMATH Keywords: geometric optics
author: Habib Ammari
reviewed by: István Ecsedi
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6552
OpenAlex ID: W1997507652
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DOI: 10.1006/JMAA.1999.6552
description: scientific article; zbMATH DE number 1384921