S. Bonnard et al., Inverse obstacle scattering for homogeneous dielectric cylinders using a boundary finite-element method, IEEE ANTENN, 48(3), 2000, pp. 393-400
A method for reconstructing the shape and the permittivity of a penetrable
homogeneous cylinder is described, It is the extension to penetrable cylind
ers of a previous work dealing with perfectly conducting cylinders. A low-f
requency approximation is used to determine an initial guess. Then, a rigor
ous boundary integral method permits us to reconstruct arbitrary shapes and
complex permittivities. It is based on an iterative conjugate gradient alg
orithm requiring the solving of two direct diffraction problems only. A sim
ple and original regularization scheme is presented, which ensures the robu
stness of the algorithm. Numerical examples with lossy embedding media and
additional random noise for both E / / and H / / polarizations are given.