The Wiener--Hopf Technique for Impenetrable Wedges Having Arbitrary Aperture Angle

DOI10.1137/S0036139901400239zbMath1032.78008OpenAlexW1988100376MaRDI QIDQ4429790

V. G. Daniele

Publication date: 28 September 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139901400239

zbMATH Keywords

half-planewedgediffraction scattering

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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3D elastic plane-wave diffraction by a stress-free wedge for incident skew angles below the critical angle in diffraction ⋮ Analytical methods for perfect wedge diffraction: a review ⋮ Acoustic scattering by a circular semi-transparent conical surface ⋮ A brief historical perspective of the Wiener-Hopf technique ⋮ Embedding formulae for diffraction by rational wedge and angular geometries ⋮ Electromagnetic diffraction by arbitrary-angle impedance wedges ⋮ Wave diffraction by wedges having arbitrary aperture angle ⋮ A genus-3 Riemann-Hilbert problem and diffraction of a wave by two orthogonal resistive half-planes ⋮ Exact solution to the problem of acoustic wave propagation in a semi-infinite waveguide with flexible walls

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