DIFFRACTION BY A FINITE STRIP

DOI10.1093/qjmam/35.1.103zbMath0482.73024OpenAlexW2145026358MaRDI QIDQ3940942

Marc H. Williams

Publication date: 1982

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/35.1.103

zbMATH Keywords

Helmholtz's equationcalculation of diffracted wave fielddiffracted by slitexact Mathieu function expansionsexact, compact solutionsflux distribution as infinite series of Mathieu functionsinfinite rigid wall with slitMathieu functions eigenfunctions of integral operatorreflected by wallzeroth-order Hankel function of second kind

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (15)

A generalization of the separation of variables method for some 2D diffraction problems ⋮ Embedding formulae for wave diffraction by a circular arc ⋮ A new family of embedding formulae for diffraction by wedges and polygons ⋮ Embedding formulae for scattering by three-dimensional structures ⋮ Analytical methods for perfect wedge diffraction: a review ⋮ A Surprising Observation in the Quarter-Plane Diffraction Problem ⋮ Acoustic scattering at a gap between two orthogonal, semi-infinite barriers: coordinate and spectral equations ⋮ On the diffraction of acoustic waves by a quarter-plane ⋮ Embedding formulae for diffraction by rational wedge and angular geometries ⋮ Pseudo-differential operators for embedding formulae ⋮ Modified Smyshlyaev's formulae for the problem of diffraction of a plane wave by an ideal quarter-plane ⋮ Edge Green's functions on a branched surface. Asymptotics of solutions of coordinate and spectral equations ⋮ A new and self-contained presentation of the theory of boundary operators for slit diffraction and their logarithmic approximations ⋮ NUMERICAL PROCEDURE FOR SOLVING THE STRIP PROBLEM BY THE SPECTRAL EQUATION ⋮ The solution of two wave-diffraction problems

This page was built for publication: DIFFRACTION BY A FINITE STRIP