Diffraction from a three-quarter-plane using an abstract Babinet principle

DOI10.1002/zamm.201100175zbMath1287.35013OpenAlexW2038280097MaRDI QIDQ2863159

Frank-Olme Speck

Publication date: 21 November 2013

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100175

zbMATH Keywords

diffractionequivalence after extensionmatricial couplingBabinet principlethree-quarter-plane

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

On the Reduction of Linear Systems Related to Boundary Value Problems ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Diffraction from Polygonal-conical Screens, an Operator Approach

Cites Work

• A contribution to the quarter-plane problem in diffraction theory
• Addendum to: The coupling method for solving integral equations
• Regularity properties and generalized inverses of delta-related operators
• On the generalized invertibility of Wiener-Hopf operators in Banach spaces
• Bessel potential operators for the quarter-plane
• Boundary integral methods for wedge diffraction problems: the angle 2π/n, Dirichlet and Neumann conditions

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