\(k\)-space properties of classical single- and double-layer potentials and their derivatives

DOI10.1016/0165-2125(93)90021-7zbMath0778.31004OpenAlexW2044074133MaRDI QIDQ1209943

John A. Desanto

Publication date: 16 May 1993

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(93)90021-7

zbMATH Keywords

Fourier transformsGreen's functionHelmholtz equationpotentialsWeyl representationscattering integral equations in Fourier transform space

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (1)

The two-dimensional free-space Green's function and its derivatives in a tangent-normal system

Cites Work

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• Scattering of scalar waves from a rough interface using a single integral equation
• On Single Integral Equations for the Transmission Problem of Acoustics
• Transmission problems for the Helmholtz equation
• Single integral equation for wave scattering
• Acoustic scattering by penetrable homogeneous objects
• Boundary integral equations for the Helmholtz equation: The third boundary value problem
• Plane-Wave Representations for Scalar Wave Fields
• Scattering of a scalar wave from a random rough surface: A diagrammatic approach
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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