Diffraction of a plane wave by a rapidly-oscillating surface
type: Item
instance of: scholarly article
title: Diffraction of a plane wave by a rapidly-oscillating surface
zbMATH Open document ID: 0778.35076
author: A. G. Mikheev
author: Alexander G. Belyaev
author: A. S. Shamaev
published in: Computational Mathematics and Mathematical Physics
publication date: 1993-09-06T00:00:00Z
review text: The present study aims to investigate how the roughness of the diffracting surface influences the diffraction field for a plane wave incident on this surface. The roughness is modelled by a rapidly oscillating periodic contour described by a function \(\varepsilon F \left( {x \over \varepsilon} \right)\), where \(\varepsilon\) is a small parameter. For the Helmholtz equation, a full asymptotic expansion of the solution is obtained and it is shown that the roughness influence can be taken into account by the variation of the surface impedance. In the particular case of the diffraction of a \(H\)-polarized wave on a cylindrical surface, the asymptotic results are compared to numerical ones.
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A45
zbMATH DE Number: 205029
zbMATH Keywords: \(H\)-polarized wave
zbMATH Keywords: roughness
zbMATH Keywords: small parameter
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: surface impedance
zbMATH Keywords: cylindrical surface
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 205029