AN INVERSE SCATTERING PROBLEM RELATED TO BURIED CYLINDRICAL BODIES ILLUMINATED BY GAUSSIAN BEAMS

Authors
Citation
I. Akduman, AN INVERSE SCATTERING PROBLEM RELATED TO BURIED CYLINDRICAL BODIES ILLUMINATED BY GAUSSIAN BEAMS, Inverse problems, 10(2), 1994, pp. 213-226
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
ISSN journal
02665611
Volume
10
Issue
2
Year of publication
1994
Pages
213 - 226
Database
ISI
SICI code
0266-5611(1994)10:2<213:AISPRT>2.0.ZU;2-0
Abstract
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.