Diffraction of a Plane Wave by Two Ideal Strips

DOI10.1093/qjmam/56.2.187zbMath1033.76054OpenAlexW2161481308MaRDI QIDQ4444087

Andrey Shanin

Publication date: 2003

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/56.2.187

zbMATH Keywords

scatteringevolution equationsangle of incidenceembedding formulaWiener-Hopf functional equationsangle of scatteringdiffraction Schwarzschild's seriesfar-field diagram

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

A generalization of the separation of variables method for some 2D diffraction problems ⋮ Anti-plane wave motion in a cylindrically orthotropic elastic solid containing a stress-free crack ⋮ Numerical solution of scattering problems using a Riemann–Hilbert formulation ⋮ Acoustic scattering at a gap between two orthogonal, semi-infinite barriers: coordinate and spectral equations ⋮ Applying an iterative method numerically to solve n × n matrix Wiener–Hopf equations with exponential factors ⋮ Edge Green's functions on a branched surface. Asymptotics of solutions of coordinate and spectral equations ⋮ NUMERICAL PROCEDURE FOR SOLVING THE STRIP PROBLEM BY THE SPECTRAL EQUATION

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