The impedance boundary value problem for the time harmonic Maxwell equations

DOI10.1002/mma.1670030133zbMath0475.35029OpenAlexW1990437297MaRDI QIDQ3931758

David Colton, Rainer Kress

Publication date: 1981

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670030133

zbMATH Keywords

boundary value problemunique solvabilityintegral equation methodsMaxwell's equationexterior boundary value problemsimproperly posedvector Helmholtz equationfarfield radiation patternimpedance boundary condition for a scattered waveinverse problem of determining the impedance

Mathematics Subject Classification ID

Related Items (6)

Far field patterns and inverse scattering problems for imperfectly conducting obstacles ⋮ Uniqueness in phaseless inverse electromagnetic scattering problem with known superposition of incident electric dipoles ⋮ An integral equation method for the electromagnetic scattering from a scatterer on an absorbing plane ⋮ Time harmonic electromagnetic waves in an inhomogeneous medium ⋮ The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition ⋮ Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems

Cites Work

• Unnamed Item
• On the exterior boundary-value problem for the time-harmonic Maxwell equations
• On the existence of a solution to a singular integral equation in electromagnetic reflection
• The Determination of the Surface Impedance of an Obstacle from Measurements of the Far Field Pattern

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