Scalar wave diffraction by tangent rays.

DOI10.1016/S0165-2125(00)00051-2zbMath1074.76613OpenAlexW2071338011MaRDI QIDQ5960626

I. Zafarullah, John R. Ockendon, John R. King, R. H. Tew, S. Jonathan Chapman

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1016/s0165-2125(00)00051-2

zbMATH Keywords

asymptotic methodsdirectivity function

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Hydro- and aero-acoustics (76Q05)

Related Items (12)

Asymptotic solutions of the Helmholtz equation: Generalised Friedlander–Keller ray expansions of fractional order ⋮ The Malyuzhinets-Popov diffraction problem revisited ⋮ Tangent ray diffraction and the pekeris caret function ⋮ Shadow boundary effects in hybrid numerical-asymptotic methods for high-frequency scattering ⋮ Contour integral solutions of the parabolic wave equation ⋮ Thin-layer solutions to the Helmholtz equation in three dimensions ⋮ Friedlander–Keller ray expansions and scalar wave reflection at canonically perturbed boundaries ⋮ On the parabolic equation method for the problem of diffraction by strongly elongated spheroid ⋮ Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers ⋮ Wedge diffraction of a critically incident Gaussian beam ⋮ Thin-layer solutions of the Helmholtz equation ⋮ Diffraction of gaussian beams by plane apertures: A different approach

Cites Work

• Diffraction by an Aperture
• Boundary layer problems in diffraction theory
• Acoustic target reconstruction using geometrical optics phase information
• Diffraction by slender bodies
• Mathematics delivering the advantage: the role of mathematicians in manufacturing and beyond
• On the Theory of Complex Rays
• Stokes Phenomenon and Matched Asymptotic Expansions
• Uniform asymptotic theory of creeping waves
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