I. Akduman, AN INVERSE SCATTERING PROBLEM RELATED TO BURIED CYLINDRICAL BODIES ILLUMINATED BY GAUSSIAN BEAMS, Inverse problems, 10(2), 1994, pp. 213-226
Several exact and numerical techniques have been established for solvi
ng the inverse (electromagnetic) scattering problems in connection wit
h cylindrical bodies. As far as we know, in almost all published works
it is assumed that the body is illuminated by a plane or line source
excited wave while the beam illumination case, which is more important
and convenient for practical applications, has not been well studied.
The aim of this paper is to solve the inverse (electromagnetic) scatt
ering problem related to cylindrical bodies buried in a half-space by
considering that the incident wave is a Gaussian beam. In the derivati
on of the theory presented in the present paper, we utilize the plane
wave spectral representation of a Gaussian beam. The results concernin
g the reconstruction of the geometrical properties are quite exact whi
le what concerns the physical properties is valid under the Born appro
ximation, which can always be met by properly adjusting the frequency
of the incident beam. An illustrative example to show the advantages o
f using beams in the reconstruction of objects is also given.