Determination of conductivity profiles by time-domain reflectometry

J.-C. Bolomey (1) , C. Durix , D. Lesselier (1)

1 L2S - Laboratoire des signaux et systèmes

A new numerical method for the reconstitution of the inhomogeneous media conductivity is described. The conducting medium is nonmagnetic, and its relative permittivity equals one. Its frequency-independent conductivity varies normally to its interface. The medium is normally illuminated by a transverse electromagnetic (TEM) plane wave of causal time dependence. The reconstruction process is a direct approach to the inverse problem. It is based on a space time discretization of an exact integral equation. The conductivity profile is determined step-by-step without approximations other than numerical. Some examples are given to illustrate the most interesting properties of the method; special attention is given to the simulation of experimental errors.

Mots clés: inverse problems; nonhomogeneous media; reflectometry; time domain analysis

Domaines: Electromagnétisme; Physique mathématique [math-ph]

J.-C. Bolomey, C. Durix, D. Lesselier. Determination of conductivity profiles by time-domain reflectometry. IEEE Transactions on Antennas and Propagation, 1979, 27 (2), pp.244-248. ⟨10.1109/TAP.1979.1142067⟩. ⟨hal-01262878⟩