Modified Smyshlyaev's formulae for the problem of diffraction of a plane wave by an ideal quarter-plane

DOI10.1016/J.WAVEMOTI.2004.05.005zbMath1189.35056OpenAlexW1997353244MaRDI QIDQ981536

Andrey Shanin

Publication date: 1 July 2010

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2004.05.005

zbMATH Keywords

diffraction by conesembedding formulae

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex ⋮ A new family of embedding formulae for diffraction by wedges and polygons ⋮ Embedding formulae for scattering by three-dimensional structures ⋮ Analytical methods for perfect wedge diffraction: a review ⋮ A Surprising Observation in the Quarter-Plane Diffraction Problem ⋮ Scattering of acoustic waves by a sector ⋮ On the diffraction of acoustic waves by a quarter-plane ⋮ Embedding formulae for Laplace-Beltrami problems on the sphere with a cut ⋮ Embedding formulae for diffraction by rational wedge and angular geometries

Cites Work

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• Wave Diffraction Through a Perforated Barrier of Non-Zero Thickness
• Embedding formulae in diffraction theory
• Wave Scattering by a Perforated Duct
• Diffraction by an elliptic cone
• Diffraction of elastic waves by a penny-shaped crack: analytical and numerical results
• DIFFRACTION BY A FINITE STRIP
• Wave diffraction through a perforated breakwater
• On Evaluation of the Diffraction Coefficients for Arbitrary "Nonsingular" Directions of a Smooth Convex Cone
• Coordinate equations for a problem on a sphere with a cut associated with diffraction by an ideal quarter-plane
• Calculation of some integrals describing wave fields

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