Embedding formulae for scattering by three-dimensional structures. (English) Zbl 1231.74230

Skelton, E. A.; Craster, R. V.; Shanin, A. V.; Valyaev, V.

Wave Motion 47, No. 5, 299-317 (2010).

Summary: The far-field diffraction behaviour for canonical scattering problems involving corners or by sectors, in three-dimensions, is considered. The far-field results are obtained using ideas based upon embedding formulae and therefore complement and extend existing results. Specific geometries such as the flat cone (a sector) and a corner formed by a solid octant are considered in detail. The formulae derived for the diffraction behaviour are also computed in special cases and compared with known results.

MSC:

74J20	Wave scattering in solid mechanics
76Q05	Hydro- and aero-acoustics
35P25	Scattering theory for PDEs
78A45	Diffraction, scattering

Keywords:

diffraction by cones; embedding formulae

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