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Title: | A Green's function for diffraction by a rational wedge |
Authors: | Rawlins, AD |
Issue Date: | 1989 |
Publisher: | Cambridge University Press |
Citation: | Mathematical Proceedings of the Cambridge Philosophical Society. 105, 185-192 |
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 77. 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 n. 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. |
URI: | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=1594284 http://bura.brunel.ac.uk/handle/2438/3844 |
DOI: | http://dx.doi.org/10.1017/S0305004100001523 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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