Embedding formulae for wave diffraction by a circular arc

Moran, C. A. J., Biggs, N. R. T. and Chamberlain, P. G. (2016) Embedding formulae for wave diffraction by a circular arc. Wave Motion, 67. pp. 32-46. ISSN 0165-2125 doi: 10.1016/j.wavemoti.2016.07.003

Abstract/Summary

For certain wave diffraction problems, embedding formulae can be derived, which represent the solution (or far-field behaviour of the solution) for all plane wave incident angles in terms of solutions of a (typically small) set of other auxiliary problems. Thus a complete characterisation of the scattering properties of an obstacle can be determined by only determining the solutions of the auxiliary problems, and then implementing the embedding formula. The class of scatterers for which embedding formulae can be derived has previously been limited to obstacles with piecewise linear boundaries; here this class is extended to include a simple curved obstacle, consisting of a thin circular arc. Approximate numerical calculations demonstrate the accuracy of the new embedding formulae.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/66107
Identification Number/DOI	10.1016/j.wavemoti.2016.07.003
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Elsevier
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