Initial Dirichlet problem for half-plane diffraction: Global formulae for its generalized eigenfunctions, explicit solution by the Cagniard-de Hoop method

DOI10.4171/ZAA/884zbMath0953.74039OpenAlexW2037708968MaRDI QIDQ1301253

K. Rottbrand, Erhard Meister

Publication date: 25 January 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48617

zbMATH Keywords

Laplace transformintegral equationclosed-form solutiondiffractiongeneralized eigenfunctionsCagniard-de Hoop methodgeneralized Wiener-Hopf solutionsoft/soft Sommerfed plane

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Diffraction, scattering (78A45)

Cites Work

• Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions
• Rawlins' problem for half-plane diffraction: its generalized eigenfunctions with real wave numbers
• Time-Dependent Plane Wave Diffraction by a Half-Plane: Explicit Solution for Rawlins' Mixed Initial Boundary Value Problem
• On an electromagnetic inverse problem for dispersive media
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