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Title: | A note on uniform asymptotic wave diffraction by a wedge |
Authors: | Rawlins, AD |
Keywords: | Geometrical theory of diffraction (GTD);Uniform asymptotic theory (UAT);Uniform geometrical theory of diffraction (UTD);Green’s functions |
Issue Date: | 2013 |
Publisher: | Oxford University Press |
Citation: | Quarterly Journal of Mechanics and Applied Mathematics, (2013) |
Abstract: | New expressions for asymptotically uniform Green’s functions for high-frequency wave diffraction when a plane, cylindrical or point wave field is incident on an ideal wedge are derived. They are useful for deriving a uniform asymptotic expression for the exact solution in terms of the high-frequency diffracted and geometrical optics far field. The present method is simple and consists of differentiating out the singularities of the integral representations and using new representations for trigonometrical sums that arise when the wedge angle is a rational multiple of π. The new results make explicit the continuity of the fields across shadow and reflection boundaries. |
URI: | http://qjmam.oxfordjournals.org/content/early/2013/12/28/qjmam.hbt022 http://bura.brunel.ac.uk/handle/2438/9800 |
DOI: | http://dx.doi.org/10.1093/qjmam/hbt022 |
ISSN: | 0033-5614 |
Appears in Collections: | Dept of Mathematics Research Papers |
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