Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

DOI10.1080/00036810701243073zbMath1123.78008OpenAlexW2124746297WikidataQ58297004 ScholiaQ58297004MaRDI QIDQ5297104

Derek J. Hansen, Michael S. Vogelius, Clair Poignard

Publication date: 18 July 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00334779/file/AA-26pp.pdf

zbMATH Keywords

Helmholtz equationelectromagnetic scatteringsmall inhomogeneity

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)

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Cites Work

• A direct impedance tomography algorithm for locating small inhomogeneities
• Transmission problems for the Helmholtz equation
• A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter