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

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