Two-step inverse scattering method for one-dimensional permittivity profiles

Citation
Va. Mikhnev et P. Vainikainen, Two-step inverse scattering method for one-dimensional permittivity profiles, IEEE ANTENN, 48(2), 2000, pp. 293-298
Citations number
17
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
ISSN journal
0018926X → ACNP
Volume
48
Issue
2
Year of publication
2000
Pages
293 - 298
Database
ISI
SICI code
0018-926X(200002)48:2<293:TISMFO>2.0.ZU;2-4
Abstract
A numerical method to invert the dielectric permittivity profile from the R iccati equation using the Newton-Kantorovich iterative scheme is described. Instead of handling the equations in terms of usual geometrical depth, we determine the profile as a function of the electromagnetic path length sinc e the convergence and the stability of the solution are found to be signifi cantly better in this case. The initial profile used as a starting, point f or the inversion is obtained by another method employing successive reconst ruction of dielectric interfaces and homogeneous layers in a step-like form . This method, though not always accurate, is fast and well suited for the approximate reconstruction of the profile, thus creating ideal starting con ditions for the previous approach. As a result, the computation time is con siderably reduced without using any a priori information. The approach is a pplicable to both continuous and discontinuous profiles of high contrast an d exhibits a good stability of the solution with respect to noisy input dat a. A lossy medium profile can also be inverted provided the overall thickne ss of the inhomogeneous slab and the background permittivity are known.