The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions

DOI10.1017/S0308210500011963zbMath0439.35020MaRDI QIDQ3881209

David Colton, Ralph E. Kleinman

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

integral equationsHelmholtz equationmoment problemsexterior Dirichlet probleminverse scattering problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (14)

A method for solving the inverse elastic scattering problem via low- frequency moments ⋮ Maximum entropy estimate of the solution to the inverse problem of acoustic scattering ⋮ Stable methods for an inverse problem in acoustic scattering by an obstacle and an inhomogeneous medium ⋮ The exterior dirichlet problem for the Laplace equation ⋮ Inverse scattering for an accoustically soft scatterer in the low-frequency region ⋮ Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves ⋮ Remarks on the inverse scattering problem for low frequency acoustic waves ⋮ Inverse scattering via low-frequency moments ⋮ Stable methods for solving the inverse scattering problem for a cylinder ⋮ On constructing the solution to the exterior Dirichlet problem for the Helmholtz equation ⋮ Integralgleichungsmethoden bei direkten und inversen Randwertproblemen aus der Theorie akustischer und elektromagnetischer Schwingungen ⋮ An inverse acoustic scattering problem for an obstacle with an impedance boundary condition ⋮ Low frequency acoustic and electromagnetic scattering ⋮ Stable methods for determining the surface impedance of an obstacle from low frequency far field data

Cites Work

• Unnamed Item
• The exterior Dirichlet problem for the Helmholtz equation
• On Neumann's method for the exterior Neumann problem for the Helmholtz equation
• Convergent Long Wavelength Expansion Method for Two-Dimensional Scattering Problems
• The inverse scattering problem for a cylinder
• An integral equation governing electromagnetic waves
• On the exterior problems of acoustics: II
• INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
• Low frequency acoustic oscillations

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