A Green's function for diffraction by a rational wedge
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 s...
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Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 1989-01, Vol.105 (1), p.185-192 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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. |
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ISSN: | 0305-0041 1469-8064 |
DOI: | 10.1017/S0305004100001523 |