A Surprising Observation in the Quarter-Plane Diffraction Problem
From MaRDI portal
Publication:5150893
DOI10.1137/19M1258785zbMath1461.30090arXiv1905.03863OpenAlexW3119232138MaRDI QIDQ5150893
I. David Abrahams, Raphaël C. Assier
Publication date: 16 February 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.03863
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Wave equation (35L05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items (2)
Diffraction by a Right-Angled No-Contrast Penetrable Wedge Revisited: A Double Wiener--Hopf Approach ⋮ On the asymptotic properties of a canonical diffraction integral
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the diffraction of acoustic waves by a quarter-plane
- Modified Smyshlyaev's formulae for the problem of diffraction of a plane wave by an ideal quarter-plane
- On the diffraction of high-frequency waves by a cone of arbitrary shape
- 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.
- Scattering of acoustic waves by a sector
- Asymptotics of waves diffracted by a cone and diffraction series on a sphere
- Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex
- A brief historical perspective of the Wiener-Hopf technique
- Note on the diffraction at a corner
- Diffraction by a quarter-plane
- Diffraction by conical surfaces at high frequencies
- A theorem on analytic continuation of functions in several variables
- Embedding formulae in diffraction theory
- Visual Complex Functions
- The High-Frequency Diffraction of Electromagnetic Waves by Cones of Arbitrary Cross Sections
- Diffraction by an elliptic cone
- Asymptotic Expansion of the Hilbert Transform
- DIFFRACTION BY A FINITE STRIP
- Explicit Error Terms for Asymptotic Expansions of Stieltjes Transforms
- Sound radiation and caustic formation from a point source in a wall shear layer
- On the Solution of Wiener--Hopf Problems Involving Noncommutative Matrix Kernel Decompositions
- Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane
- On Evaluation of the Diffraction Coefficients for Arbitrary "Nonsingular" Directions of a Smooth Convex Cone
- Spectral study of the Laplace–Beltrami operator arising in the problem of acoustic wave scattering by a quarter-plane
- On the asymptotic properties of a canonical diffraction integral
- Diffraction by a quarter–plane. Analytical continuation of spectral functions
- Coordinate equations for a problem on a sphere with a cut associated with diffraction by an ideal quarter-plane
- Asymptotic Behavior of Stieltjes Transforms. I
This page was built for publication: A Surprising Observation in the Quarter-Plane Diffraction Problem