Diffraction by a Right-Angled No-Contrast Penetrable Wedge Revisited: A Double Wiener--Hopf Approach

DOI10.1137/21M1461861zbMath1502.30117arXiv2112.03173OpenAlexW4291014423MaRDI QIDQ5097469

Publication date: 24 August 2022

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

Full work available at URL: https://arxiv.org/abs/2112.03173

zbMATH Keywords

wave diffraction Wiener-Hopf equation

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

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Mathematical theory of diffraction. Translated from the 1896 German edition and with an introduction by Raymond J. Nagem, Mario Zampolli and Guido Sandri. Appendix I by Joseph Priestley.
On acoustic wave diffraction by plates connected at a right angle
Diffraction by an immersed elastic wedge
A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons
Analytical methods for perfect wedge diffraction: a review
Scattering of the plane wave by a transparent wedge
A brief historical perspective of the Wiener-Hopf technique
Diffraction by a right-angled dielectric wedge
Diffraction by a quarter-plane
Visual Complex Functions
High-contrast approximation for penetrable wedge diffraction
Diffraction by a Dielectric Wedge
Rayleigh wave scattering by two adhering elastic wedges
Diffraction by a highly contrast transparent wedge
Diffraction by, or diffusion into, a penetrable wedge
Vertex Green’s Functions of a Quarter-Plane: Links Between the Functional Equation, Additive Crossing and Lamé Functions
A Surprising Observation in the Quarter-Plane Diffraction Problem
On the asymptotic properties of a canonical diffraction integral
Diffraction by a quarter–plane. Analytical continuation of spectral functions
Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons
The Wiener-Hopf Solution of the Isotropic Penetrable Wedge Problem: Diffraction and Total Field
Asymptotic Behavior of Stieltjes Transforms. I

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