PERMITTIVITY PROFILE RECONSTRUCTIONS USING TRANSIENT ELECTROMAGNETIC REFLECTION DATA

This paper is concerned with the permittivity reconstruction of inhomo geneous dielectric media. The method applies to profiles that vary wit h depth only, i.e., it provides a one-dimensional profile reconstructi on. The data are collected and analyzed in the time domain. In the fir st part of the paper the theory of the method is reviewed. It is shown that a finite time trace of reflection data suffices to uniquely reco nstruct the permittivity profile of the medium. The latter part of the paper presents the experimental set-up and contains also a thorough d iscussion of the errors that affect the measurements. The inverse scat tering algorithm that is used is either based upon an imbedding proced ure or on a Green functions approach. The input to either of these alg orithms is the reflection kernel or the impulse response of the medium , i.e., the delta function response of the medium. Therefore, a deconv olution of the the measured reflected field and the incident field mus t be performed. This deconvolution problem is also addressed briefly i n this paper.