The solution of a mixed boundary value problem in the theory of diffraction
type: Item
instance of: scholarly article
title: The solution of a mixed boundary value problem in the theory of diffraction
zbMATH Open document ID: 0533.73026
DOI: 10.1007/BF00042898
published in: Journal of Engineering Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The problem of the title arises as a mathematical model for a noise barrier (to shield motorways, railways and airports) whose surface is treated with two different acoustically absorbent materials. First an exact solution for the wave equation in all space excluding the half plane is obtained by a modified Wiener-Hopf technique for a mixed boundary value problem. Asymptotic expressions for the far field are also found.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 3846954
zbMATH Keywords: exact solution
zbMATH Keywords: cylindrical sound wave
zbMATH Keywords: absorbent semi-infinite plane
zbMATH Keywords: different impedance boundary conditions
zbMATH Keywords: model for noise barrier
zbMATH Keywords: surface treated with two different acoustically absorbent materials
zbMATH Keywords: modified Wiener-Hopf method
zbMATH Keywords: asymptotic expressions for far field
author: A. D. Rawlins
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3846954