A linearized inverse boundary value problem for Maxwell's equations
The paper considers the problem of determining the electromagnetic state of a body from measurements made on the surface of the body. The authors study the full set of Maxwell's equations contrarily to other authors such as \textit{A. P. Calderón} [On an inverse boundary value problem. Sem. Numer. Analysis Appl. Continuum Physics, 65-73 (1980)]. In this case the inverse problem involves three unknown parameters: the magnetic permeability \(\mu\), the electric permettivity \(\varepsilon\) and the electric conductivity \(\sigma\) in the interior of the body. Estimations of the reconstruction errors are given. The method is similar to the distorted plane wave approximation given by Caldéron using an approximate linearization scheme.
scientific article; zbMATH DE number 69589