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.
Publié le : 1979-03-04
Classification:
inverse problems,
nonhomogeneous media,
reflectometry,
time domain analysis,
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism,
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-01262878,
author = {Bolomey, J.-C. and Durix, C. and Lesselier, D.},
title = {Determination of conductivity profiles by time-domain reflectometry},
journal = {HAL},
volume = {1979},
number = {0},
year = {1979},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01262878}
}
Bolomey, J.-C.; Durix, C.; Lesselier, D. Determination of conductivity profiles by time-domain reflectometry. HAL, Tome 1979 (1979) no. 0, . http://gdmltest.u-ga.fr/item/hal-01262878/