Simultaneous reconstruction of permittivity and conductivity profiles in a radially inhomogeneous slab
Article first published online: 7 DEC 2012
Copyright 1986 by the American Geophysical Union.
Volume 21, Issue 4, pages 635–645, July-August 1986
How to Cite
1986), Simultaneous reconstruction of permittivity and conductivity profiles in a radially inhomogeneous slab, Radio Sci., 21(4), 635–645, doi:10.1029/RS021i004p00635., , and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 13 FEB 1986
- Manuscript Received: 10 NOV 1985
This paper considers the simultaneous reconstruction of permittivity and conductivity profiles in a cylindrically stratified geometry. It is assumed that both the permittivity and conductivity may only vary in the radial direction, and that the unknown region, to be probed, is an annulus of known thickness. An iterative method for the simultaneous inversion of the radial permittivity and conductivity profiles inside this annulus is presented. This method employs a distorted-Born approximation at each iteration step. The inherent nonuniqueness of the problem is circumvented by imposing additional constraints that limit the set of feasible solutions. Numerical simulations show that good results can be obtained for smoothly varying profiles even when a limited number of measurements at a single frequency are used.