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- Title
A note on uniform asymptotic wave diffraction by a wedge.
- Authors
Rawlins, A. D.
- 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.
- Subjects
GREEN'S functions; GEOMETRY; INTEGRALS; FACTORIZATION; MATHEMATICAL singularities
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2014, Vol 67, Issue 1, p43
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hbt022