Determination of conductivity profiles by time-domain reflectometry
Abstract
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.
- Publication:
-
IEEE Transactions on Antennas and Propagation
- Pub Date:
- March 1979
- DOI:
- 10.1109/TAP.1979.1142067
- Bibcode:
- 1979ITAP...27..244B
- Keywords:
-
- Electrical Resistivity;
- Electromagnetic Properties;
- Reflectance;
- Space-Time Functions;
- Inhomogeneity;
- Integral Equations;
- One Dimensional Flow;
- Plane Waves;
- Reflectometers;
- Transverse Waves;
- Communications and Radar