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A Green's function for diffraction by a rational wedge

Published online by Cambridge University Press:  24 October 2008

A. D. Rawlins
A. D. Rawlins
Affiliation:
Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex UB8 3PH
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Abstract

In this paper we derive an expression for the point source Green's function for the reduced wave equation, valid in an angular sector whose angle is equal to a rational multiple of π. This Green's function can be used to find new expressions for the field produced by the diffraction of a spherical wave by a wedge whose angle can be expressed as a rational multiple of π. The expressions obtained will be in the form of source terms and real integrals representing the diffracted field. The general result obtained is used to derive a new representation for the solution of the problem of diffraction by a mixed hard–soft half plane.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 1 , January 1989 , pp. 185 - 192
Copyright
Copyright © Cambridge Philosophical Society 1989

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