An ART algorithm for imaging of buried cylindrical bodies illuminated by Gaussian beams

The purpose of this work is to develop an algebraic reconstruction technique (ART) algorithm to solve the electromagnetic inverse scattering problem the aim of which is to recover the electromagnetic properties as well as the geometry of infinitely long cylindrical bodies buried in a half space. The problem then consists of finding the constitutive parameters of the buried body by using the data collected throughout the measurements along a line in the half space not containing the body. The buried body is illuminated by a Gaussian beam which is excited in the same region where the data are collected. The problem considered here can also be interpreted as the use of an iterative algorithm of the ART type which basically consists of an application of the Kaczmarz method to solve an inverse scattering problem related to buried cylindrical bodies illuminated by Gaussian beams.